Details

analyze1.6s (6.8%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	99.9%	0.1%	0%	0%	0%	6
6.3%	6.2%	93.6%	0.1%	0%	0%	0%	7
9.4%	9.4%	90.5%	0.1%	0%	0%	0%	8
14.1%	14%	85.8%	0.1%	0%	0%	0%	9
25.8%	25.7%	74.1%	0.1%	0%	0%	0%	10
30.1%	30%	69.8%	0.1%	0%	0%	0%	11
34.2%	34.1%	65.7%	0.1%	0%	0%	0%	12

Compiler

Compiled 25 to 19 computations (24% saved)

sample3.5s (14.8%)

Results

3.5s

8256×

body

256

valid

Bogosity

preprocess293.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

3466×	`rational.json-simplify-35`
2964×	`rational.json-simplify-2`
2146×	`rational.json-simplify-51`
1770×	`rational.json-simplify-1`
1088×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	244
1	91	244
2	143	244
3	252	244
4	520	244
5	1249	244
6	1790	244
7	2150	244
8	2378	244
9	2536	244
10	2684	244
11	2792	244
12	2954	244
13	4343	244
14	4708	244
15	4818	244
16	4928	244
17	5038	244
18	5148	244
19	6250	244
20	6698	244
21	6698	244
22	6698	244
23	6954	244
24	7210	244
25	7466	244
26	7722	244
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (.f64 x (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 z (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))

Outputs
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+.f64 x (.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+.f64 y (/.f64 (.f64 x (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 y (/.f64 (.f64 x (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
(+.f64 y (.f64 x (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+.f64 z (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 x 692910599291889/10000000000000000) 307332350656623/625000000000000) x) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 x 6012459259764103/1000000000000000) x) 104698244219447/31250000000000)))
(+.f64 z (.f64 (+.f64 11167812716741/40000000000000 (.f64 x (+.f64 307332350656623/625000000000000 (.f64 x 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 x (+.f64 x 6012459259764103/1000000000000000))))))
(+.f64 z (.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 x (+.f64 307332350656623/625000000000000 (.f64 x 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 x (+.f64 x 6012459259764103/1000000000000000))))))
(+.f64 z (/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 x (+.f64 307332350656623/625000000000000 (.f64 x 692910599291889/10000000000000000))))) (+.f64 104698244219447/31250000000000 (.f64 x (+.f64 x 6012459259764103/1000000000000000)))))
(+.f64 x (/.f64 (.f64 z (+.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) 307332350656623/625000000000000) y) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 y 6012459259764103/1000000000000000) y) 104698244219447/31250000000000)))
(+.f64 x (.f64 (+.f64 11167812716741/40000000000000 (.f64 y (+.f64 307332350656623/625000000000000 (.f64 y 692910599291889/10000000000000000)))) (/.f64 z (+.f64 104698244219447/31250000000000 (.f64 y (+.f64 y 6012459259764103/1000000000000000))))))
(+.f64 x (.f64 z (/.f64 (+.f64 11167812716741/40000000000000 (.f64 y (+.f64 307332350656623/625000000000000 (.f64 y 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 y (+.f64 y 6012459259764103/1000000000000000))))))

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify133.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4974×	`rational.json-simplify-41`
1888×	`rational.json-simplify-35`
1066×	`rational.json-simplify-2`
862×	`rational.json-simplify-1`
700×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	34	61
2	49	61
3	83	61
4	169	61
5	412	61
6	581	61
7	654	61
8	843	61
9	1438	61
10	1945	61
11	2279	61
12	2585	61
13	2810	61
14	3035	61
15	3260	61
16	3485	61
17	3710	61
18	3935	61
19	3935	61

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Outputs

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

(+.f64 x (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))

(+.f64 x (*.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))

eval1.0ms (0%)

Compiler: Compiled 66 to 48 computations (27.3% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Kept	Total
New	3	3
Fresh	1	1
Picked	0	0
Done	0	0
Total	4	4

Error

14.1b

Counts

4 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	17.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
▶	14.6b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
▶	14.1b	(+.f64 x (.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))

Status

Error

Program

▶

17.4b

(+.f64 x (/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

▶

14.6b

(+.f64 x (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))

▶

14.1b

(+.f64 x (*.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))

Compiler

Compiled 72 to 54 computations (25% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
✓	0.3b	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
✓	0.5b	(*.f64 z 692910599291889/10000000000000000)
✓	13.6b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))

Compiler

Compiled 107 to 78 computations (27.1% saved)

series10.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
4.0ms	y	@	0	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
1.0ms	z	@	inf	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
1.0ms	z	@	-inf	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
1.0ms	z	@	0	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
1.0ms	y	@	inf	(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))

rewrite135.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`rational.json-1`
1844×	`rational.json-2`
1844×	`rational.json-4`
1844×	`rational.json-3`
722×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	124
1	121	124
2	236	124
3	551	124
4	1375	124
5	5263	124

Stop Event

1×	node limit

Counts

4 → 213

Calls

Call 1

Inputs
(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
(*.f64 z 692910599291889/10000000000000000)
(.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/2 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) (/.f64 1/2 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 1 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (.f64 (/.f64 2 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (/.f64 (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 2) (/.f64 1/2 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (/.f64 1/2 (/.f64 (+.f64 (.f64 z (+.f64 z 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simplify324.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1808×	`rational.json-simplify-35`
1010×	`rational.json-simplify-51`
796×	`rational.json-simplify-44`
766×	`rational.json-simplify-61`
670×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	593	15163
1	1903	14841
2	6071	14829

Stop Event

1×	node limit

Counts

273 → 312

Calls

Call 1

Inputs
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
(-.f64 (+.f64 692910599291889/10000000000000000 (+.f64 (.f64 21810887065466482153109263568915904549915271947668467379916697/10000000000000000000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 3))) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))
692910599291889/10000000000000000
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
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(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
(*.f64 692910599291889/10000000000000000 z)
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(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)

Outputs
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)) (*.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)))))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)))))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 149233894885562575800992648418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (*.f64 -374943941275717765274452559944207169728571246668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)))))
692910599291889/10000000000000000
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(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (neg.f64 y))) -1)
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 2) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (neg.f64 y))) -2)
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 4) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (neg.f64 y))) -4)
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 (neg.f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 4)) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (neg.f64 y))) 4)
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 y (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 y 1/2) (.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (/.f64 2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (/.f64 y (neg.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) (/.f64 -1 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (neg.f64 (+.f64 y y)) (-.f64 0 (.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (/.f64 2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (neg.f64 (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) (-.f64 0 (/.f64 1 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
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(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(/.f64 (neg.f64 (neg.f64 y)) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(pow.f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) 1)
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 0)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 0 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(-.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 0)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (*.f64 z (+.f64 z (+.f64 z 6012459259764103/500000000000000))) 2)
(*.f64 (+.f64 z (+.f64 z 6012459259764103/500000000000000)) (/.f64 z 2))
(/.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) (.f64 z 4)) 4)
(.f64 (.f64 z 4) (/.f64 (+.f64 z 6012459259764103/1000000000000000) 4))
(.f64 (+.f64 z 6012459259764103/1000000000000000) (/.f64 (.f64 z 4) 4))
(/.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) (.f64 z 8)) 8)
(/.f64 (.f64 2 (.f64 (+.f64 z 6012459259764103/1000000000000000) (*.f64 z 4))) 8)
(.f64 (.f64 z (*.f64 4 (+.f64 z 6012459259764103/1000000000000000))) 1/4)
(.f64 1/4 (.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 4)))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 z 6012459259764103/1000000000000000) (.f64 z 4))) (.f64 2 (.f64 (+.f64 z 6012459259764103/1000000000000000) (.f64 z 4)))) 16)
(.f64 (.f64 z (*.f64 4 (+.f64 z 6012459259764103/1000000000000000))) 1/4)
(.f64 1/4 (.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 4)))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
	0.5b	(*.f64 z 692910599291889/10000000000000000)
✓	3.1b	(/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
✓	16.7b	(.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))

Compiler

Compiled 99 to 71 computations (28.3% saved)

series6.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	inf	(/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
1.0ms	z	@	0	(/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
0.0ms	y	@	-inf	(/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
0.0ms	y	@	0	(/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
0.0ms	z	@	-inf	(/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))

rewrite130.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2026×	`rational.json-1`
2026×	`rational.json-2`
2026×	`rational.json-4`
2026×	`rational.json-3`
722×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	80
1	121	80
2	232	80
3	527	80
4	1316	80
5	5473	80

Stop Event

1×	node limit

Counts

2 → 195

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
(/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))

Inputs

(*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))

(/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 y (.f64 -1 (/.f64 (neg.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (.f64 (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (.f64 1/2 (/.f64 2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (.f64 (/.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y y) (.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 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Outputs

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simplify608.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1786×	`rational.json-simplify-35`
886×	`rational.json-simplify-51`
852×	`rational.json-simplify-61`
752×	`rational.json-simplify-44`
656×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	590	14129
1	1893	13695
2	6049	13629

Stop Event

1×	node limit

Counts

243 → 312

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))
(+.f64 (.f64 (-.f64 (.f64 692910599291889/33503438150223040 y) (+.f64 (.f64 272651677654809570312500000/10961722342634967150292985809 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (pow.f64 z 2)) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 692910599291889/33503438150223040 y) (+.f64 (.f64 272651677654809570312500000/10961722342634967150292985809 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))) (.f64 31250000000000/104698244219447 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))) (pow.f64 z 3))) (+.f64 (.f64 (-.f64 (.f64 692910599291889/33503438150223040 y) (+.f64 (.f64 272651677654809570312500000/10961722342634967150292985809 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (pow.f64 z 2)) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))))
(*.f64 692910599291889/10000000000000000 y)
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(-.f64 (+.f64 (.f64 307332350656623/625000000000000 (/.f64 y z)) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (.f64 692910599291889/10000000000000000 y))) (+.f64 (.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (.f64 6012459259764103/1000000000000000 (/.f64 (-.f64 (.f64 307332350656623/625000000000000 y) (.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))) (.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2))))))
(-.f64 (+.f64 (.f64 307332350656623/625000000000000 (/.f64 y z)) (+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (pow.f64 z 2))) (+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 -1 (/.f64 (+.f64 (.f64 6012459259764103/1000000000000000 (-.f64 (.f64 11167812716741/40000000000000 y) (+.f64 (.f64 72546523146905574025723165383/312500000000000000000000000000 y) (.f64 6012459259764103/1000000000000000 (-.f64 (.f64 307332350656623/625000000000000 y) (.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))))) (.f64 104698244219447/31250000000000 (-.f64 (.f64 307332350656623/625000000000000 y) (.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)))) (pow.f64 z 3)))))) (+.f64 (.f64 4166096748901211929300981260567/10000000000000000000000000000000 (/.f64 y z)) (+.f64 (.f64 6012459259764103/1000000000000000 (/.f64 (-.f64 (.f64 307332350656623/625000000000000 y) (.f64 4166096748901211929300981260567/10000000000000000000000000000000 y)) (pow.f64 z 2))) (.f64 72546523146905574025723165383/312500000000000000000000000000 (/.f64 y (pow.f64 z 2))))))
(*.f64 692910599291889/10000000000000000 y)
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(.f64 (/.f64 1 y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y) (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y))))
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(.f64 (/.f64 1/2 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (+.f64 y y))
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(.f64 (/.f64 y (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) (+.f64 z z)) 104698244219447/15625000000000)) 2)
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(.f64 (/.f64 1/2 (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) (+.f64 z z)) 104698244219447/15625000000000)) (*.f64 y 4))
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(neg.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))

Outputs
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(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
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(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
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(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
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(.f64 (/.f64 1 y) (/.f64 (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) (+.f64 z z)) 104698244219447/15625000000000) (.f64 (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (/.f64 (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) (+.f64 z z)) 104698244219447/15625000000000) y))))
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(.f64 1/2 (.f64 y (/.f64 2 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
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(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
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(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
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(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
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(.f64 (/.f64 -1 y) (/.f64 (neg.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (.f64 (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))) y) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))) y))))
(pow.f64 (/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 1)
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 z 6012459259764103/1000000000000000))))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
	0.5b	(*.f64 z 692910599291889/10000000000000000)
✓	4.3b	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
✓	16.7b	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Compiler

Compiled 101 to 73 computations (27.7% saved)

series3.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
0.0ms	y	@	-inf	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
0.0ms	z	@	-inf	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
0.0ms	z	@	-inf	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
0.0ms	z	@	inf	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))

rewrite221.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1250×	`rational.json-1`
1250×	`rational.json-2`
1250×	`rational.json-4`
1250×	`rational.json-3`
1242×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	99
1	123	99
2	252	99
3	630	99
4	1815	99
5	4527	99

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs

(/.f64 (*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

(*.f64 y (+.f64 (*.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))

(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (neg.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 2) (/.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (neg.f64 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 8 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 8 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (neg.f64 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (/.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)))))

simplify191.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1210×	`rational.json-simplify-2`
1006×	`rational.json-simplify-35`
920×	`exponential.json-simplify-26`
840×	`rational.json-simplify-46`
806×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	324	7924
1	776	7638
2	1687	7590
3	3268	7590
4	6110	7590

Stop Event

1×	node limit

Counts

166 → 186

Calls

Call 1

Inputs
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(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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(.f64 (.f64 (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 1/2)) 2)
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(pow.f64 (.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) 1)
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(+.f64 (.f64 y (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 0)
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(-.f64 0 (.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (neg.f64 y)))
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(pow.f64 (.f64 y (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1)
(neg.f64 (.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (neg.f64 y)))
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(/.f64 (.f64 2 (.f64 2 (.f64 z (.f64 (+.f64 z 6012459259764103/1000000000000000) 4)))) 16)
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)

Outputs
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(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(pow.f64 (.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) 1)
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(neg.f64 (/.f64 (.f64 y (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (neg.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(+.f64 (.f64 y (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 0)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(+.f64 0 (.f64 y (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(+.f64 -1 (-.f64 (.f64 y (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) -1))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(+.f64 (/.f64 (.f64 y (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 2) (/.f64 (.f64 y (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 2))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(+.f64 (-.f64 (.f64 y (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) -1) -1)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(-.f64 (.f64 y (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 0)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(-.f64 0 (.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (neg.f64 y)))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(/.f64 (.f64 y (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(/.f64 (.f64 y (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 2)) 2)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(/.f64 (.f64 y (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 4)) 4)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(/.f64 (.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (neg.f64 y)) -1)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(/.f64 (.f64 8 (.f64 y (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) 8)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(/.f64 (.f64 (.f64 y (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) -2) -2)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(/.f64 (.f64 2 (.f64 8 (.f64 y (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))) 16)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(pow.f64 (.f64 y (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1)
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(neg.f64 (.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (neg.f64 y)))
(.f64 y (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 692910599291889/10000000000000000 z)))))
(+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 0)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 0 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(+.f64 (/.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2) (/.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 2))
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(-.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 0)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (.f64 z (.f64 (+.f64 z 6012459259764103/1000000000000000) 2)) 2)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (.f64 z (.f64 (+.f64 z 6012459259764103/1000000000000000) 4)) 4)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (.f64 2 (.f64 z (*.f64 (+.f64 z 6012459259764103/1000000000000000) 4))) 8)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(/.f64 (.f64 2 (.f64 2 (.f64 z (.f64 (+.f64 z 6012459259764103/1000000000000000) 4)))) 16)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
(pow.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 1)
(*.f64 z (+.f64 z 6012459259764103/1000000000000000))

eval853.0ms (3.6%)

Compiler: Compiled 26557 to 19689 computations (25.9% saved)

prune601.0ms (2.6%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	841	12	853
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	842	14	856

Error

0.0b

Counts

856 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	14.2b	(+.f64 x (/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y)))
	14.7b	(+.f64 x (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y)))
✓	17.4b	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	14.0b	(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	30.6b	(+.f64 x (/.f64 (.f64 2 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000))))) (/.f64 (.f64 y (/.f64 2 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (.f64 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))
	14.1b	(+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))
✓	14.6b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
▶	22.7b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
	29.0b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (.f64 (/.f64 1 y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y))))))
	31.3b	(+.f64 x (.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
	20.6b	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
▶	26.3b	(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
▶	11.4b	(+.f64 x (*.f64 y 279195317918525/3350343815022304))
▶	15.0b	(+.f64 x (*.f64 y 692910599291889/10000000000000000))

Compiler

Compiled 594 to 452 computations (23.9% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y 279195317918525/3350343815022304))
✓	0.2b	(*.f64 y 279195317918525/3350343815022304)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 y 279195317918525/3350343815022304)
0.0ms	y	@	inf	(*.f64 y 279195317918525/3350343815022304)
0.0ms	y	@	-inf	(*.f64 y 279195317918525/3350343815022304)
0.0ms	y	@	inf	(+.f64 x (*.f64 y 279195317918525/3350343815022304))
0.0ms	x	@	0	(+.f64 x (*.f64 y 279195317918525/3350343815022304))

rewrite254.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3010×	`rational.json-simplify-35`
1964×	`rational.json-simplify-2`
1278×	`rational.json-simplify-1`
1188×	`exponential.json-3`
1188×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	46	20
2	99	20
3	203	20
4	379	20
5	840	20
6	2141	20
7	3708	20
8	4365	20
9	5290	20
10	5889	20
11	5889	20
12	6478	20
13	6708	20
14	7232	20

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(*.f64 y 279195317918525/3350343815022304)
(+.f64 x (*.f64 y 279195317918525/3350343815022304))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 279195317918525/3350343815022304) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 279195317918525/6700687630044608) (*.f64 y 279195317918525/6700687630044608))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y 279195317918525/3350343815022304) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 279195317918525/1675171907511152) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 279195317918525/837585953755576) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 279195317918525/418792976877788) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y 279195317918525/418792976877788)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 y 279195317918525/418792976877788))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 279195317918525/418792976877788)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 279195317918525/418792976877788))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 279195317918525/418792976877788)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 279195317918525/418792976877788))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 279195317918525/418792976877788))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 279195317918525/418792976877788)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y 279195317918525/3350343815022304) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)))))

simplify357.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

4018×	`rational.json-simplify-51`
2396×	`rational.json-simplify-35`
1320×	`rational.json-simplify-2`
862×	`rational.json-simplify-1`
572×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	803
1	215	803
2	527	803
3	1698	803
4	3462	803
5	4348	803
6	4467	803
7	4580	803
8	4694	803
9	4783	803
10	4872	803
11	5007	803
12	5096	803
13	5185	803
14	5185	803
15	7589	803
16	7953	803

Stop Event

1×	node limit

Counts

77 → 46

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(+.f64 0 (*.f64 y 279195317918525/3350343815022304))
(+.f64 (.f64 y 279195317918525/6700687630044608) (.f64 y 279195317918525/6700687630044608))
(-.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(/.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(/.f64 (*.f64 y 279195317918525/1675171907511152) 2)
(/.f64 (*.f64 y 279195317918525/837585953755576) 4)
(/.f64 (*.f64 y 279195317918525/418792976877788) 8)
(/.f64 (.f64 2 (.f64 y 279195317918525/418792976877788)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 y 279195317918525/418792976877788))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 y 279195317918525/418792976877788)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 y 279195317918525/418792976877788))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 279195317918525/418792976877788)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 y 279195317918525/418792976877788))))))) 512)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 279195317918525/418792976877788))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 279195317918525/418792976877788)))))))) 1024)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(-.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 0)
(.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 1)
(.f64 1 (+.f64 (.f64 y 279195317918525/3350343815022304) x))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)))
(.f64 (+.f64 (+.f64 x x) (.f64 y 279195317918525/1675171907511152)) 1/2)
(.f64 4 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1/4))
(.f64 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 1/4)
(.f64 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8) 1/8)
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 y 279195317918525/1675171907511152)))
(.f64 (+.f64 (.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4))
(.f64 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))
(/.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)
(/.f64 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)) 2)
(/.f64 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))))))) 512)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8)))))))) 1024)
(pow.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)

Outputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 0 (*.f64 y 279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 y 279195317918525/6700687630044608) (.f64 y 279195317918525/6700687630044608))
(*.f64 279195317918525/3350343815022304 y)
(-.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (*.f64 y 279195317918525/1675171907511152) 2)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (*.f64 y 279195317918525/837585953755576) 4)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (*.f64 y 279195317918525/418792976877788) 8)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (.f64 2 (.f64 y 279195317918525/418792976877788)) 16)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (.f64 2 (.f64 2 (*.f64 y 279195317918525/418792976877788))) 32)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 y 279195317918525/418792976877788)))) 64)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 y 279195317918525/418792976877788))))) 128)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 279195317918525/418792976877788)))))) 256)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 y 279195317918525/418792976877788))))))) 512)
(*.f64 279195317918525/3350343815022304 y)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 279195317918525/418792976877788))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 279195317918525/418792976877788)))))))) 1024)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(*.f64 279195317918525/3350343815022304 y)
(-.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 0)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 1)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(.f64 1 (+.f64 (.f64 y 279195317918525/3350343815022304) x))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)))
(.f64 2 (+.f64 (.f64 y 279195317918525/6700687630044608) (*.f64 x 1/2)))
(.f64 (+.f64 (+.f64 x x) (.f64 y 279195317918525/1675171907511152)) 1/2)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(.f64 4 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1/4))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(.f64 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 1/4)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(.f64 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8) 1/8)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 y 279195317918525/1675171907511152)))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(.f64 (+.f64 (.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)) 2)
(.f64 2 (+.f64 (.f64 y 279195317918525/6700687630044608) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)))
(.f64 1/4 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(.f64 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1/4) 4)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(.f64 1/8 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)) 2)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 4) 4)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8) 8)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)) 16)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))) 32)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))) 64)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))))) 128)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))))) 256)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))))))) 512)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8)))))))) 1024)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(pow.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y 692910599291889/10000000000000000))
✓	0.5b	(*.f64 y 692910599291889/10000000000000000)

Compiler

Compiled 14 to 9 computations (35.7% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 y 692910599291889/10000000000000000)
0.0ms	y	@	inf	(*.f64 y 692910599291889/10000000000000000)
0.0ms	y	@	-inf	(*.f64 y 692910599291889/10000000000000000)
0.0ms	x	@	0	(+.f64 x (*.f64 y 692910599291889/10000000000000000))
0.0ms	y	@	inf	(+.f64 x (*.f64 y 692910599291889/10000000000000000))

rewrite262.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

3010×	`rational.json-simplify-35`
1964×	`rational.json-simplify-2`
1278×	`rational.json-simplify-1`
1188×	`exponential.json-3`
1188×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	46	20
2	99	20
3	203	20
4	379	20
5	840	20
6	2141	20
7	3708	20
8	4365	20
9	5290	20
10	5889	20
11	5889	20
12	6478	20
13	6708	20
14	7232	20

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/10000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/20000000000000000) (*.f64 y 692910599291889/20000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y 692910599291889/10000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 692910599291889/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 692910599291889/2500000000000000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 692910599291889/1250000000000000) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 y 692910599291889/1250000000000000)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 y 692910599291889/1250000000000000))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 692910599291889/1250000000000000)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 692910599291889/1250000000000000))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 692910599291889/1250000000000000)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 692910599291889/1250000000000000))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 692910599291889/1250000000000000))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 y 692910599291889/1250000000000000)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y 692910599291889/10000000000000000) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/2) (*.f64 y 692910599291889/20000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 y 692910599291889/5000000000000000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 y 692910599291889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/2) (*.f64 y 692910599291889/20000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x x) (*.f64 y 692910599291889/5000000000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8))))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1)))))

simplify352.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

4018×	`rational.json-simplify-51`
2396×	`rational.json-simplify-35`
1320×	`rational.json-simplify-2`
862×	`rational.json-simplify-1`
572×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	803
1	215	803
2	527	803
3	1698	803
4	3462	803
5	4348	803
6	4467	803
7	4580	803
8	4694	803
9	4783	803
10	4872	803
11	5007	803
12	5096	803
13	5185	803
14	5185	803
15	7589	803
16	7953	803

Stop Event

1×	node limit

Counts

77 → 46

Calls

Call 1

Inputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 y 692910599291889/10000000000000000) 0)
(+.f64 0 (*.f64 y 692910599291889/10000000000000000))
(+.f64 (.f64 y 692910599291889/20000000000000000) (.f64 y 692910599291889/20000000000000000))
(-.f64 (*.f64 y 692910599291889/10000000000000000) 0)
(/.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(/.f64 (*.f64 y 692910599291889/5000000000000000) 2)
(/.f64 (*.f64 y 692910599291889/2500000000000000) 4)
(/.f64 (*.f64 y 692910599291889/1250000000000000) 8)
(/.f64 (.f64 2 (.f64 y 692910599291889/1250000000000000)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 y 692910599291889/1250000000000000))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 y 692910599291889/1250000000000000)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 y 692910599291889/1250000000000000))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 692910599291889/1250000000000000)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 y 692910599291889/1250000000000000))))))) 512)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 692910599291889/1250000000000000))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 692910599291889/1250000000000000)))))))) 1024)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(-.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 0)
(.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 1)
(.f64 1 (+.f64 (.f64 y 692910599291889/10000000000000000) x))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 y 692910599291889/20000000000000000)))
(.f64 (+.f64 (+.f64 x x) (.f64 y 692910599291889/5000000000000000)) 1/2)
(.f64 4 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1/4))
(.f64 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 4) 1/4)
(.f64 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8) 1/8)
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 y 692910599291889/5000000000000000)))
(.f64 (+.f64 (.f64 x 1/2) (*.f64 y 692910599291889/20000000000000000)) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 4))
(.f64 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1/4) 4)
(.f64 1/8 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8))
(/.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1)
(/.f64 (+.f64 (+.f64 x x) (*.f64 y 692910599291889/5000000000000000)) 2)
(/.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8)))))) 256)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8))))))) 512)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8)))))))) 1024)
(pow.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1)

Outputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(+.f64 (*.f64 y 692910599291889/10000000000000000) 0)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 0 (*.f64 y 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (.f64 y 692910599291889/20000000000000000) (.f64 y 692910599291889/20000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(-.f64 (*.f64 y 692910599291889/10000000000000000) 0)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (*.f64 y 692910599291889/5000000000000000) 2)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (*.f64 y 692910599291889/2500000000000000) 4)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (*.f64 y 692910599291889/1250000000000000) 8)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (.f64 2 (.f64 y 692910599291889/1250000000000000)) 16)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (.f64 2 (.f64 2 (*.f64 y 692910599291889/1250000000000000))) 32)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 y 692910599291889/1250000000000000)))) 64)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 y 692910599291889/1250000000000000))))) 128)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 692910599291889/1250000000000000)))))) 256)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (*.f64 y 692910599291889/1250000000000000))))))) 512)
(*.f64 692910599291889/10000000000000000 y)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 692910599291889/1250000000000000))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 y 692910599291889/1250000000000000)))))))) 1024)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(*.f64 692910599291889/10000000000000000 y)
(-.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 0)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 1)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(.f64 1 (+.f64 (.f64 y 692910599291889/10000000000000000) x))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 y 692910599291889/20000000000000000)))
(.f64 2 (+.f64 (.f64 y 692910599291889/20000000000000000) (*.f64 x 1/2)))
(.f64 (+.f64 (+.f64 x x) (.f64 y 692910599291889/5000000000000000)) 1/2)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(.f64 4 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1/4))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(.f64 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 4) 1/4)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(.f64 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8) 1/8)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 y 692910599291889/5000000000000000)))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(.f64 (+.f64 (.f64 x 1/2) (*.f64 y 692910599291889/20000000000000000)) 2)
(.f64 2 (+.f64 (.f64 y 692910599291889/20000000000000000) (*.f64 x 1/2)))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 y 692910599291889/20000000000000000)))
(.f64 1/4 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 4))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(.f64 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1/4) 4)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(.f64 1/8 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8))
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (+.f64 (+.f64 x x) (*.f64 y 692910599291889/5000000000000000)) 2)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 4) 4)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8) 8)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8)) 16)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8))) 32)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8)))) 64)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8))))) 128)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 8)))))) 256)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8))))))) 512)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8))))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 692910599291889/10000000000000000) x) 8)))))))) 1024)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))
(pow.f64 (+.f64 (*.f64 y 692910599291889/10000000000000000) x) 1)
(+.f64 x (*.f64 692910599291889/10000000000000000 y))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
✓	0.0b	(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
✓	0.3b	(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
✓	0.3b	(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))

Compiler

Compiled 44 to 33 computations (25% saved)

series6.0ms (0%)

Counts

4 → 63

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
0.0ms	y	@	inf	(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
0.0ms	x	@	0	(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
0.0ms	y	@	inf	(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
0.0ms	z	@	0	(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))

rewrite98.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1180×	`rational.json-1`
1180×	`rational.json-2`
1180×	`rational.json-4`
1180×	`rational.json-3`
1176×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	88
1	97	88
2	198	88
3	387	88
4	795	88
5	2056	88
6	5194	88

Stop Event

1×	node limit

Counts

4 → 60

Calls

Call 1

Inputs
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
(+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1/2 z)) (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1/2 z)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 2 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 4 z)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 2 z) 751220861604756070699018739433/2500000000000000000000000000000) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (/.f64 2 z) 751220861604756070699018739433/2500000000000000000000000000000)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (/.f64 2 z) 751220861604756070699018739433/2500000000000000000000000000000))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) (/.f64 y 2)) (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) (/.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 2 z))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 692910599291889/10000000000000000 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 2 z)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 692910599291889/10000000000000000 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 2 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 692910599291889/10000000000000000 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 2 z)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 x 1/2) (.f64 (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000) (/.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 2 z))))) (+.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (.f64 y (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 1)))))

simplify228.0ms (1%)

Algorithm

1×	egg-herbie

Rules

2060×	`rational.json-simplify-35`
1660×	`rational.json-simplify-38`
1130×	`rational.json-simplify-51`
1032×	`rational.json-simplify-53`
830×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	2697
1	291	2697
2	765	2697
3	1868	2697
4	3797	2697
5	4711	2697
6	5166	2697
7	5610	2697
8	7247	2697

Stop Event

1×	node limit

Counts

123 → 89

Calls

Call 1

Inputs
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
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Outputs
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(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
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(/.f64 (.f64 (+.f64 (.f64 y (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 8) 8)
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 (/.f64 2 z) 751220861604756070699018739433/20000000000000000000000000000000))))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 (/.f64 1/2 z) 751220861604756070699018739433/5000000000000000000000000000000))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 8)) 16)
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 (/.f64 2 z) 751220861604756070699018739433/20000000000000000000000000000000))))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 (/.f64 1/2 z) 751220861604756070699018739433/5000000000000000000000000000000))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 8))) 32)
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 (/.f64 2 z) 751220861604756070699018739433/20000000000000000000000000000000))))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 (/.f64 1/2 z) 751220861604756070699018739433/5000000000000000000000000000000))))
(pow.f64 (+.f64 (.f64 y (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)) 692910599291889/10000000000000000)) x) 1)
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 (/.f64 2 z) 751220861604756070699018739433/20000000000000000000000000000000))))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 (/.f64 1/2 z) 751220861604756070699018739433/5000000000000000000000000000000))))

localize105.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 y (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓	0.4b	(*.f64 z 6012459259764103/1000000000000000)
	0.5b	(*.f64 z 692910599291889/10000000000000000)
✓	11.1b	(.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))

Compiler

Compiled 86 to 64 computations (25.6% saved)

series8.0ms (0%)

Counts

3 → 60

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	z	@	-inf	(.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
1.0ms	z	@	inf	(.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
1.0ms	y	@	0	(.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
1.0ms	y	@	inf	(.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
0.0ms	y	@	-inf	(/.f64 y (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

rewrite130.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1968×	`rational.json-1`
1968×	`rational.json-2`
1968×	`rational.json-4`
1968×	`rational.json-3`
716×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	75
1	114	75
2	221	75
3	504	75
4	1264	75
5	5331	75

Stop Event

1×	node limit

Counts

3 → 204

Calls

Call 1

Inputs

(*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))

(*.f64 z 6012459259764103/1000000000000000)

(/.f64 y (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

Outputs

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simplify271.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1794×	`rational.json-simplify-35`
912×	`rational.json-simplify-51`
868×	`rational.json-simplify-61`
762×	`rational.json-simplify-44`
656×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	555	11416
1	1812	11142
2	5938	11032

Stop Event

1×	node limit

Counts

264 → 313

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))
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(+.f64 (.f64 -6012459259764103/3350343815022304 (.f64 (pow.f64 z 3) (-.f64 (.f64 692910599291889/33503438150223040 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))) (+.f64 (.f64 (pow.f64 z 2) (-.f64 (.f64 692910599291889/33503438150223040 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))))
(.f64 692910599291889/60124592597641030 (.f64 y z))
(-.f64 (+.f64 (.f64 2458658805252984/30062296298820515 y) (.f64 692910599291889/60124592597641030 (.f64 y z))) (.f64 1160744370350489184411570646128/180748331751615526979716036973045 y))
(-.f64 (+.f64 (.f64 2458658805252984/30062296298820515 y) (+.f64 (.f64 692910599291889/60124592597641030 (.f64 y z)) (.f64 279195317918525/6012459259764103 (/.f64 y z)))) (+.f64 (.f64 1160744370350489184411570646128/180748331751615526979716036973045 y) (.f64 3350343815022304/6012459259764103 (/.f64 (-.f64 (.f64 2458658805252984/30062296298820515 y) (.f64 1160744370350489184411570646128/180748331751615526979716036973045 y)) z))))
(-.f64 (+.f64 (.f64 2458658805252984/30062296298820515 y) (+.f64 (.f64 692910599291889/60124592597641030 (.f64 y z)) (+.f64 (.f64 279195317918525/6012459259764103 (/.f64 y z)) (.f64 -3350343815022304/6012459259764103 (/.f64 (-.f64 (.f64 279195317918525/6012459259764103 y) (.f64 3350343815022304/6012459259764103 (-.f64 (.f64 2458658805252984/30062296298820515 y) (.f64 1160744370350489184411570646128/180748331751615526979716036973045 y)))) (pow.f64 z 2)))))) (+.f64 (.f64 1160744370350489184411570646128/180748331751615526979716036973045 y) (.f64 3350343815022304/6012459259764103 (/.f64 (-.f64 (.f64 2458658805252984/30062296298820515 y) (*.f64 1160744370350489184411570646128/180748331751615526979716036973045 y)) z))))
(.f64 692910599291889/60124592597641030 (.f64 y z))
(-.f64 (+.f64 (.f64 2458658805252984/30062296298820515 y) (.f64 692910599291889/60124592597641030 (.f64 y z))) (.f64 1160744370350489184411570646128/180748331751615526979716036973045 y))
(-.f64 (+.f64 (.f64 2458658805252984/30062296298820515 y) (+.f64 (.f64 -1 (/.f64 (-.f64 (.f64 -279195317918525/6012459259764103 y) (.f64 -3350343815022304/6012459259764103 (-.f64 (.f64 2458658805252984/30062296298820515 y) (.f64 1160744370350489184411570646128/180748331751615526979716036973045 y)))) z)) (.f64 692910599291889/60124592597641030 (.f64 y z)))) (*.f64 1160744370350489184411570646128/180748331751615526979716036973045 y))
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(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 (.f64 6012459259764103/1000000000000000 z) 104698244219447/31250000000000))
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(pow.f64 (*.f64 z 6012459259764103/1000000000000000) 1)
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(neg.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))

Outputs
(*.f64 279195317918525/3350343815022304 y)
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(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z 6012459259764103/1000000000000000)))
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(.f64 (/.f64 (neg.f64 y) (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1)
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z 6012459259764103/1000000000000000)))
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(.f64 (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/1000000000000000)) (.f64 (/.f64 1/2 y) (/.f64 (/.f64 (+.f64 y y) (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/1000000000000000))) (/.f64 (+.f64 104698244219447/31250000000000 (*.f64 z 6012459259764103/1000000000000000)) y))))
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(/.f64 (/.f64 y (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/1000000000000000)) (/.f64 y (/.f64 (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/1000000000000000)) (neg.f64 (+.f64 104698244219447/31250000000000 (*.f64 z 6012459259764103/1000000000000000))))))) (neg.f64 y))
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(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z 6012459259764103/1000000000000000)))
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(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z 6012459259764103/1000000000000000)))
(neg.f64 (/.f64 (neg.f64 y) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 y (+.f64 104698244219447/31250000000000 (*.f64 z 6012459259764103/1000000000000000)))

localize133.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 z (+.f64 z 6012459259764103/1000000000000000))
	0.5b	(*.f64 z 692910599291889/10000000000000000)
✓	0.6b	(/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y))
	13.6b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))

Compiler

Compiled 115 to 85 computations (26.1% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y))
0.0ms	z	@	-inf	(/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y))
0.0ms	z	@	inf	(/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y))
0.0ms	y	@	-inf	(/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y))
0.0ms	y	@	inf	(/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y))

rewrite86.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1674×	`exponential.json-3`
1674×	`rational.json-1`
1674×	`rational.json-2`
1674×	`rational.json-4`
1674×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	154	55
2	381	55
3	1171	55
4	4786	55

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs

(/.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y))

Outputs

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307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 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simplify185.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1898×	`rational.json-simplify-35`
1112×	`rational.json-simplify-2`
672×	`rational.json-simplify-41`
630×	`rational.json-simplify-51`
560×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	250	4908
1	585	4652
2	1236	4598
3	3030	4520
4	5653	4520
5	6938	4520

Stop Event

1×	node limit

Counts

78 → 117

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))
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(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 692910599291889/33503438150223040 y) (+.f64 (.f64 272651677654809570312500000/10961722342634967150292985809 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))))) (.f64 31250000000000/104698244219447 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y)))) (pow.f64 z 3))) (+.f64 (.f64 (-.f64 (.f64 692910599291889/33503438150223040 y) (+.f64 (.f64 272651677654809570312500000/10961722342634967150292985809 y) (.f64 6012459259764103/3350343815022304 (-.f64 (.f64 307332350656623/2093964884388940 y) (.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))) (pow.f64 z 2)) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 z (-.f64 (.f64 307332350656623/2093964884388940 y) (*.f64 1678650474502018223880473708075/11224803678858206361900017468416 y))))))
(*.f64 692910599291889/10000000000000000 y)
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(/.f64 (.f64 y (+.f64 11167812716741/40000000000000 (.f64 (+.f64 307332350656623/625000000000000 (.f64 692910599291889/10000000000000000 z)) z))) (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z)))
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Outputs
(*.f64 279195317918525/3350343815022304 y)
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(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 (neg.f64 y) (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (neg.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
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(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) (/.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 2 y)))
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(.f64 2 (.f64 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 y (/.f64 2 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000))))))))
(.f64 2 (.f64 (/.f64 1 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (*.f64 z 692910599291889/10000000000000000)))) (/.f64 2 y))))
(.f64 (/.f64 y (.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 2)) (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 2))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 (/.f64 y 2) (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 2 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 1/2 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (.f64 y (/.f64 2 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 (/.f64 1/2 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 y y)))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 1/2) (.f64 y (/.f64 2 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 1/2 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) (+.f64 y y))
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(pow.f64 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))) 1)
(.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))
(.f64 y (/.f64 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000)))) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))))

eval1.8s (7.8%)

Compiler: Compiled 18736 to 14241 computations (24% saved)

prune252.0ms (1.1%)

Pruning

16 alts after pruning (12 fresh and 4 done)

	Pruned	Kept	Total
New	741	7	748
Fresh	2	5	7
Picked	1	0	1
Done	2	4	6
Total	746	16	762

Error

0.0b

Counts

762 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	14.7b	(+.f64 x (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y)))
	20.6b	(+.f64 x (/.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) (/.f64 1 y)))
▶	14.0b	(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
	30.6b	(+.f64 x (/.f64 (.f64 2 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000))))) (/.f64 (.f64 y (/.f64 2 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (.f64 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))
▶	23.3b	(+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
▶	11.5b	(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))
▶	15.0b	(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))
✓	14.6b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
✓	22.7b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
	29.0b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (.f64 (/.f64 1 y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y))))))
	31.3b	(+.f64 x (.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
▶	20.6b	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
	26.3b	(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
✓	11.4b	(+.f64 x (*.f64 y 279195317918525/3350343815022304))
✓	15.0b	(+.f64 x (*.f64 y 692910599291889/10000000000000000))
	31.8b	x

Compiler

Compiled 544 to 416 computations (23.5% saved)

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))
✓	0.5b	(/.f64 279195317918525/3350343815022304 (/.f64 1 y))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 279195317918525/3350343815022304 (/.f64 1 y))
0.0ms	x	@	0	(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))
0.0ms	y	@	inf	(/.f64 279195317918525/3350343815022304 (/.f64 1 y))
0.0ms	y	@	-inf	(/.f64 279195317918525/3350343815022304 (/.f64 1 y))
0.0ms	x	@	inf	(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`rational.json-1`
1386×	`rational.json-2`
1386×	`rational.json-4`
1386×	`rational.json-3`
1380×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	77	20
2	200	20
3	460	20
4	1199	20
5	4377	20

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(/.f64 279195317918525/3350343815022304 (/.f64 1 y))
(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 279195317918525/3350343815022304 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 y -279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 279195317918525/6700687630044608) (*.f64 y 279195317918525/6700687630044608))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 279195317918525/3350343815022304 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y -279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 3350343815022304/279195317918525 (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 3350343815022304/279195317918525 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 279195317918525/3350343815022304 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y 279195317918525/6700687630044608))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) 279195317918525/6700687630044608)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 y (*.f64 y 6700687630044608/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/1675171907511152 (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3350343815022304/279195317918525 (/.f64 (/.f64 1 y) (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 3350343815022304/279195317918525 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (/.f64 279195317918525/3350343815022304 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 y 13401375260089216/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 279195317918525/3350343815022304 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) 279195317918525/13401375260089216)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 6700687630044608/279195317918525 (/.f64 (/.f64 1 y) (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 6700687630044608/279195317918525 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/1675171907511152) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 y -279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y -3350343815022304/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -279195317918525/3350343815022304 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 1 (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 3350343815022304/279195317918525 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 2 (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 6700687630044608/279195317918525 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6700687630044608/279195317918525 y) (/.f64 1/2 (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 3350343815022304/279195317918525 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 6700687630044608/279195317918525 y) (/.f64 1 (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 6700687630044608/279195317918525 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 8) 279195317918525/26802750520178432)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) -279195317918525/6700687630044608)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 y y)) (/.f64 1 (*.f64 y 6700687630044608/279195317918525)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/837585953755576) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -279195317918525/3350343815022304) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y 279195317918525/1675171907511152))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/6700687630044608 (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y y)) -279195317918525/6700687630044608)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3350343815022304/279195317918525) (/.f64 (/.f64 1 (*.f64 y y)) (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 3350343815022304/279195317918525 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 3350343815022304/279195317918525) (/.f64 (/.f64 2 (*.f64 y y)) (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 6700687630044608/279195317918525 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 y) (/.f64 (*.f64 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6700687630044608/279195317918525)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 6700687630044608/279195317918525 y))) (/.f64 3350343815022304/279195317918525 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 y y)) (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 6700687630044608/279195317918525 y))) (*.f64 y 6700687630044608/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (*.f64 y y)) (*.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 6700687630044608/279195317918525 y))) (*.f64 y 3350343815022304/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/26802750520178432 (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -279195317918525/6700687630044608 (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -279195317918525/6700687630044608 (neg.f64 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 279195317918525/3350343815022304 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (*.f64 y 279195317918525/1675171907511152))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (+.f64 x (*.f64 y 279195317918525/1675171907511152))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (*.f64 y 279195317918525/1675171907511152))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 1)))))

simplify99.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1396×	`rational.json-simplify-51`
1034×	`rational.json-simplify-49`
874×	`rational.json-simplify-44`
852×	`rational.json-simplify-35`
816×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2231
1	385	2051
2	1181	2015
3	5448	1967

Stop Event

1×	node limit

Counts

133 → 138

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) 0)
(+.f64 0 (*.f64 279195317918525/3350343815022304 y))
(+.f64 -1 (-.f64 1 (*.f64 y -279195317918525/3350343815022304)))
(+.f64 (.f64 y 279195317918525/6700687630044608) (.f64 y 279195317918525/6700687630044608))
(-.f64 (*.f64 279195317918525/3350343815022304 y) 0)
(-.f64 0 (*.f64 y -279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(.f64 1 (.f64 279195317918525/3350343815022304 y))
(*.f64 y 279195317918525/3350343815022304)
(.f64 (/.f64 1 y) (/.f64 3350343815022304/279195317918525 (.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 3350343815022304/279195317918525 y))))
(.f64 (.f64 279195317918525/3350343815022304 y) 1)
(.f64 2 (.f64 y 279195317918525/6700687630044608))
(*.f64 (+.f64 y y) 279195317918525/6700687630044608)
(.f64 (+.f64 y y) (/.f64 y (.f64 y 6700687630044608/279195317918525)))
(.f64 279195317918525/1675171907511152 (.f64 y 1/2))
(.f64 3350343815022304/279195317918525 (/.f64 (/.f64 1 y) (.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 3350343815022304/279195317918525 y))))
(.f64 (.f64 y y) (/.f64 279195317918525/3350343815022304 y))
(*.f64 4 (/.f64 y 13401375260089216/279195317918525))
(.f64 4 (/.f64 (.f64 279195317918525/3350343815022304 y) 4))
(.f64 (.f64 y 4) 279195317918525/13401375260089216)
(.f64 6700687630044608/279195317918525 (/.f64 (/.f64 1 y) (.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 6700687630044608/279195317918525 y))))
(.f64 (.f64 y 279195317918525/1675171907511152) 1/2)
(.f64 -1 (.f64 y -279195317918525/3350343815022304))
(*.f64 -1 (/.f64 y -3350343815022304/279195317918525))
(*.f64 (neg.f64 y) -279195317918525/3350343815022304)
(*.f64 -279195317918525/3350343815022304 (neg.f64 y))
(.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 1 (.f64 (/.f64 3350343815022304/279195317918525 y) (/.f64 3350343815022304/279195317918525 y))))
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(.f64 (.f64 y 279195317918525/837585953755576) 1/4)
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(pow.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 1)

Outputs
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(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
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x
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x
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x
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(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(.f64 (+.f64 (+.f64 x x) (.f64 y 279195317918525/1675171907511152)) 1/2)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(/.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 1)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(/.f64 (+.f64 x (+.f64 x (*.f64 y 279195317918525/1675171907511152))) 2)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(/.f64 (.f64 (+.f64 (.f64 279195317918525/3350343815022304 y) x) 4) 4)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 4)) 8)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 279195317918525/3350343815022304 y) x) 4))) 16)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(pow.f64 (+.f64 (*.f64 279195317918525/3350343815022304 y) x) 1)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))
✓	0.7b	(/.f64 692910599291889/10000000000000000 (/.f64 1 y))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 692910599291889/10000000000000000 (/.f64 1 y))
0.0ms	x	@	0	(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))
0.0ms	y	@	inf	(/.f64 692910599291889/10000000000000000 (/.f64 1 y))
0.0ms	y	@	-inf	(/.f64 692910599291889/10000000000000000 (/.f64 1 y))
0.0ms	y	@	-inf	(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`rational.json-1`
1386×	`rational.json-2`
1386×	`rational.json-4`
1386×	`rational.json-3`
1380×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	77	20
2	200	20
3	460	20
4	1199	20
5	4377	20

Stop Event

1×	node limit

Counts

2 → 97

Calls

Call 1

Inputs
(/.f64 692910599291889/10000000000000000 (/.f64 1 y))
(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 692910599291889/10000000000000000 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 y -692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/20000000000000000) (*.f64 y 692910599291889/20000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 692910599291889/10000000000000000 y) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y -692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/10000000000000000 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 10000000000000000/692910599291889 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 692910599291889/10000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y 692910599291889/20000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) 692910599291889/20000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) (/.f64 y (*.f64 y 20000000000000000/692910599291889)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/5000000000000000 (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 10000000000000000/692910599291889 (/.f64 (/.f64 1 y) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y y) (/.f64 692910599291889/10000000000000000 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 y 40000000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 692910599291889/10000000000000000 y) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) 692910599291889/40000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 20000000000000000/692910599291889 (/.f64 (/.f64 1 y) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 692910599291889/5000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 y -692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 y -10000000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -692910599291889/10000000000000000 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 1 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 2 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 20000000000000000/692910599291889 y) (/.f64 1/2 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 20000000000000000/692910599291889 y) (/.f64 1 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 8) 692910599291889/80000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) -692910599291889/20000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y (+.f64 y y)) (/.f64 1 (*.f64 y 20000000000000000/692910599291889)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 692910599291889/2500000000000000) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -692910599291889/10000000000000000) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y 692910599291889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/20000000000000000 (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 y y)) -692910599291889/20000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 10000000000000000/692910599291889) (/.f64 (/.f64 1 (*.f64 y y)) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 10000000000000000/692910599291889) (/.f64 (/.f64 2 (*.f64 y y)) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 y) (/.f64 (*.f64 692910599291889/10000000000000000 y) (fabs.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 20000000000000000/692910599291889) (/.f64 (/.f64 1 (*.f64 y y)) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 692910599291889/10000000000000000 y) (*.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/40000000000000000 (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 692910599291889/20000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 5000000000000000/692910599291889 (/.f64 (/.f64 2 y) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 692910599291889/5000000000000000) (/.f64 (/.f64 2 (*.f64 y y)) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 2 y) 2500000000000000/692910599291889) (/.f64 2 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) 692910599291889/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) (/.f64 (+.f64 y y) (*.f64 y 10000000000000000/692910599291889)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 y 692910599291889/2500000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))) (/.f64 10000000000000000/692910599291889 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))) 10000000000000000/692910599291889)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))) (*.f64 (/.f64 2 y) 2500000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 y) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))) 5000000000000000/692910599291889)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 y y)) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))) (*.f64 y 10000000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (*.f64 y y)) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))) (/.f64 y 692910599291889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 y y) (*.f64 y 10000000000000000/692910599291889)) (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 692910599291889/10000000000000000 y) (fabs.f64 y)) (fabs.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 40000000000000000/692910599291889) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y -10000000000000000/692910599291889) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10000000000000000/692910599291889 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))) (/.f64 1 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))) (/.f64 20000000000000000/692910599291889 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))) (/.f64 20000000000000000/692910599291889 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 y) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))) 20000000000000000/692910599291889)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))) (/.f64 10000000000000000/692910599291889 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (*.f64 y y)) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))) (*.f64 y 20000000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 2 (*.f64 y y)) (*.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))) (*.f64 y 10000000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/80000000000000000 (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -692910599291889/20000000000000000 (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -692910599291889/20000000000000000 (neg.f64 (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 y 20000000000000000/692910599291889)) (*.f64 y (+.f64 y y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y (*.f64 y 20000000000000000/692910599291889)) (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 692910599291889/10000000000000000 y) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y -692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 692910599291889/10000000000000000 y)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 -692910599291889/10000000000000000 (/.f64 1 y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 692910599291889/10000000000000000 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (*.f64 y 692910599291889/5000000000000000))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (+.f64 x (*.f64 y 692910599291889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 y 692910599291889/5000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 y 692910599291889/5000000000000000)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (*.f64 y 692910599291889/5000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 1)))))

simplify97.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1396×	`rational.json-simplify-51`
1034×	`rational.json-simplify-49`
874×	`rational.json-simplify-44`
852×	`rational.json-simplify-35`
816×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	2231
1	385	2051
2	1181	2015
3	5448	1967

Stop Event

1×	node limit

Counts

133 → 138

Calls

Call 1

Inputs
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) 0)
(+.f64 0 (*.f64 692910599291889/10000000000000000 y))
(+.f64 -1 (-.f64 1 (*.f64 y -692910599291889/10000000000000000)))
(+.f64 (.f64 y 692910599291889/20000000000000000) (.f64 y 692910599291889/20000000000000000))
(-.f64 (*.f64 692910599291889/10000000000000000 y) 0)
(-.f64 0 (*.f64 y -692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(.f64 1 (.f64 692910599291889/10000000000000000 y))
(*.f64 y 692910599291889/10000000000000000)
(.f64 (/.f64 1 y) (/.f64 10000000000000000/692910599291889 (.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))
(.f64 (.f64 692910599291889/10000000000000000 y) 1)
(.f64 2 (.f64 y 692910599291889/20000000000000000))
(*.f64 (+.f64 y y) 692910599291889/20000000000000000)
(.f64 (+.f64 y y) (/.f64 y (.f64 y 20000000000000000/692910599291889)))
(.f64 692910599291889/5000000000000000 (.f64 y 1/2))
(.f64 10000000000000000/692910599291889 (/.f64 (/.f64 1 y) (.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))
(.f64 (.f64 y y) (/.f64 692910599291889/10000000000000000 y))
(*.f64 4 (/.f64 y 40000000000000000/692910599291889))
(.f64 4 (/.f64 (.f64 692910599291889/10000000000000000 y) 4))
(.f64 (.f64 y 4) 692910599291889/40000000000000000)
(.f64 20000000000000000/692910599291889 (/.f64 (/.f64 1 y) (.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 20000000000000000/692910599291889 y))))
(.f64 (.f64 y 692910599291889/5000000000000000) 1/2)
(.f64 -1 (.f64 y -692910599291889/10000000000000000))
(*.f64 -1 (/.f64 y -10000000000000000/692910599291889))
(*.f64 (neg.f64 y) -692910599291889/10000000000000000)
(*.f64 -692910599291889/10000000000000000 (neg.f64 y))
(.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 1 (.f64 (/.f64 10000000000000000/692910599291889 y) (/.f64 10000000000000000/692910599291889 y))))
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(*.f64 (/.f64 20000000000000000/692910599291889 y) (/.f64 y (/.f64 10000000000000000/692910599291889 (/.f64 y 20000000000000000/692910599291889))))
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(*.f64 (/.f64 20000000000000000/692910599291889 y) (/.f64 y (/.f64 10000000000000000/692910599291889 (/.f64 y 20000000000000000/692910599291889))))
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(*.f64 (/.f64 y (/.f64 (/.f64 1 y) 480125098611044764748221188321/200000000000000000000000000000000)) (/.f64 20000000000000000/692910599291889 y))
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(.f64 (/.f64 y (.f64 y 20000000000000000/692910599291889)) (+.f64 y y))
(.f64 (+.f64 y y) (/.f64 y (.f64 y 20000000000000000/692910599291889)))
(.f64 (/.f64 (.f64 692910599291889/10000000000000000 y) 4) 4)
(*.f64 692910599291889/10000000000000000 y)
(pow.f64 (*.f64 692910599291889/10000000000000000 y) 1)
(*.f64 692910599291889/10000000000000000 y)
(neg.f64 (*.f64 y -692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(neg.f64 (neg.f64 (*.f64 692910599291889/10000000000000000 y)))
(*.f64 692910599291889/10000000000000000 y)
(neg.f64 (/.f64 -692910599291889/10000000000000000 (/.f64 1 y)))
(*.f64 692910599291889/10000000000000000 y)
(-.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 0)
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(.f64 (+.f64 x (+.f64 x (.f64 y 692910599291889/5000000000000000))) 1/2)
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(.f64 (.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 4) 1/4)
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(.f64 1/2 (+.f64 x (+.f64 x (.f64 y 692910599291889/5000000000000000))))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 y 692910599291889/5000000000000000)))
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(.f64 1/4 (.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 4))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
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(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(.f64 (/.f64 (+.f64 (.f64 692910599291889/10000000000000000 y) x) 4) 4)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(.f64 (+.f64 (+.f64 x x) (.f64 y 692910599291889/5000000000000000)) 1/2)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(/.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 1)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(/.f64 (+.f64 x (+.f64 x (*.f64 y 692910599291889/5000000000000000))) 2)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(/.f64 (.f64 (+.f64 (.f64 692910599291889/10000000000000000 y) x) 4) 4)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 4)) 8)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 692910599291889/10000000000000000 y) x) 4))) 16)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(pow.f64 (+.f64 (*.f64 692910599291889/10000000000000000 y) x) 1)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
✓	0.0b	(+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
✓	0.2b	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
✓	0.3b	(*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)

Compiler

Compiled 32 to 22 computations (31.3% saved)

series4.0ms (0%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
0.0ms	z	@	inf	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
0.0ms	y	@	-inf	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
0.0ms	y	@	inf	(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
0.0ms	y	@	inf	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))

rewrite276.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

2712×	`rational.json-simplify-2`
1740×	`rational.json-simplify-35`
1244×	`rational.json-simplify-1`
1192×	`rational.json-1`
1192×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	72	64
2	138	64
3	278	64
4	533	64
5	1225	64
6	2610	64
7	3762	64
8	4988	64
9	6162	64
10	6741	64
11	6741	64
12	7870	64

Stop Event

1×	node limit

Counts

4 → 76

Calls

Call 1

Inputs
(*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z -155900051080628738716045985239/112248036788582063619000174684160) (.f64 z -155900051080628738716045985239/112248036788582063619000174684160))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z -155900051080628738716045985239/28062009197145515904750043671040) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z -155900051080628738716045985239/14031004598572757952375021835520) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 1/2)) (.f64 y (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 279195317918525/3350343815022304 (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/28062009197145515904750043671040)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) (.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) (.f64 y 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) (.f64 y 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) (.f64 y 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) (.f64 y 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) (.f64 y 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) (.f64 y 8))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 279195317918525/3350343815022304 (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/28062009197145515904750043671040))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 279195317918525/3350343815022304 (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/28062009197145515904750043671040))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/8 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 279195317918525/3350343815022304 (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/28062009197145515904750043671040))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 y (+.f64 279195317918525/3350343815022304 (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/28062009197145515904750043671040)))) (+.f64 x x)))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 8)) 16)))) (#(struct:change #<rule 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-155900051080628738716045985239/56124018394291031809500087342080) 279195317918525/3350343815022304)) x) 1)))))

simplify1.5s (6.3%)

Algorithm

1×	egg-herbie

Rules

3558×	`rational.json-simplify-35`
2628×	`rational.json-simplify-2`
1478×	`rational.json-simplify-53`
1324×	`rational.json-simplify-1`
884×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	157	2710
1	369	2710
2	1136	2710
3	2363	2710
4	3882	2710
5	4702	2710
6	4875	2710
7	4991	2710
8	5106	2710
9	5217	2710
10	5769	2710
11	6239	2710
12	6525	2710
13	6788	2710
14	6816	2710
15	6816	2710
16	6927	2710
17	7038	2710
18	7149	2710
19	7260	2710
20	7371	2710
21	7482	2710
22	7593	2710
23	7704	2710
24	7991	2710

Stop Event

1×	node limit

Counts

160 → 90

Calls

Call 1

Inputs
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z))
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
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(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
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Outputs
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
(*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)
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localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
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	0.2b	(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
✓	0.5b	(*.f64 y 11167812716741/40000000000000)
✓	3.2b	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

Compiler

Compiled 51 to 35 computations (31.4% saved)

series4.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
0.0ms	y	@	inf	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
0.0ms	z	@	0	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
0.0ms	z	@	inf	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
0.0ms	y	@	0	(/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

rewrite505.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`rational.json-1`
1640×	`rational.json-2`
1640×	`rational.json-4`
1640×	`rational.json-3`
1630×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	83	57
2	196	57
3	521	57
4	1537	57
5	4810	57

Stop Event

1×	node limit

Counts

3 → 125

Calls

Call 1

Inputs

(/.f64 (*.f64 y 11167812716741/40000000000000) (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))

(*.f64 y 11167812716741/40000000000000)

(+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) (+.f64 z z)) 104698244219447/15625000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) (+.f64 z z)) 104698244219447/15625000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) (+.f64 z z)) 104698244219447/15625000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) -2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))))

simplify173.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1030×	`rational.json-simplify-1`
1008×	`rational.json-simplify-46`
992×	`rational.json-simplify-2`
932×	`rational.json-simplify-51`
844×	`rational.json-simplify-53`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	4991
1	698	4865
2	1598	4679
3	4576	4679
4	6770	4679

Stop Event

1×	node limit

Counts

173 → 176

Calls

Call 1

Inputs
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(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 (+.f64 6012459259764103/1000000000000000 z) z))))
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 11167812716741/40000000000000 y)
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104698244219447/31250000000000
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(pow.f64 z 2)
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(pow.f64 z 2)
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Outputs
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(.f64 y (/.f64 11167812716741/40000000000000 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(neg.f64 (/.f64 (.f64 y -11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
(.f64 11167812716741/40000000000000 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z)))))
(/.f64 (.f64 11167812716741/40000000000000 y) (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 6012459259764103/1000000000000000 z))))
(+.f64 (*.f64 y 11167812716741/40000000000000) 0)
(*.f64 11167812716741/40000000000000 y)
(+.f64 0 (*.f64 y 11167812716741/40000000000000))
(*.f64 11167812716741/40000000000000 y)
(+.f64 -1 (-.f64 1 (*.f64 y -11167812716741/40000000000000)))
(*.f64 11167812716741/40000000000000 y)
(+.f64 (-.f64 1 (*.f64 y -11167812716741/40000000000000)) -1)
(*.f64 11167812716741/40000000000000 y)
(-.f64 (*.f64 y 11167812716741/40000000000000) 0)
(*.f64 11167812716741/40000000000000 y)
(-.f64 0 (*.f64 y -11167812716741/40000000000000))
(*.f64 11167812716741/40000000000000 y)
(/.f64 (*.f64 y 11167812716741/40000000000000) 1)
(*.f64 11167812716741/40000000000000 y)
(/.f64 (*.f64 y 11167812716741/20000000000000) 2)
(*.f64 11167812716741/40000000000000 y)
(/.f64 (*.f64 y 11167812716741/10000000000000) 4)
(*.f64 11167812716741/40000000000000 y)
(/.f64 (*.f64 y -11167812716741/40000000000000) -1)
(*.f64 11167812716741/40000000000000 y)
(/.f64 (*.f64 y 11167812716741/5000000000000) 8)
(*.f64 11167812716741/40000000000000 y)
(/.f64 (*.f64 y -11167812716741/20000000000000) -2)
(*.f64 11167812716741/40000000000000 y)
(/.f64 (.f64 2 (.f64 y 11167812716741/5000000000000)) 16)
(*.f64 11167812716741/40000000000000 y)
(pow.f64 (*.f64 y 11167812716741/40000000000000) 1)
(*.f64 11167812716741/40000000000000 y)
(neg.f64 (*.f64 y -11167812716741/40000000000000))
(*.f64 11167812716741/40000000000000 y)
(-.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 0)
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(-.f64 0 (neg.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
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(.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 1)
(+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))
(.f64 1 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))
(+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))
(.f64 (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) (+.f64 z z)) 104698244219447/15625000000000) 1/2)
(.f64 (+.f64 (.f64 (+.f64 6012459259764103/1000000000000000 z) (+.f64 z z)) 104698244219447/15625000000000) 1/2)
(.f64 2 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 2))
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(.f64 2 (.f64 (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 2) 1))
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(.f64 (.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 4) 1/4)
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(+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))
(.f64 1/2 (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) (+.f64 z z)) 104698244219447/15625000000000))
(.f64 (+.f64 (.f64 (+.f64 6012459259764103/1000000000000000 z) (+.f64 z z)) 104698244219447/15625000000000) 1/2)
(.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 2) 2)
(+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))
(.f64 1/4 (.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 4))
(+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))
(/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 1)
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(/.f64 (+.f64 (*.f64 (+.f64 z 6012459259764103/1000000000000000) (+.f64 z z)) 104698244219447/15625000000000) 2)
(/.f64 (+.f64 (*.f64 (+.f64 6012459259764103/1000000000000000 z) (+.f64 z z)) 104698244219447/15625000000000) 2)
(/.f64 (.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 4) 4)
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(/.f64 (neg.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) -1)
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(/.f64 (.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) -2) -2)
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(/.f64 (.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 8) 8)
(+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 8)) 16)
(+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))
(pow.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) 1)
(+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))
(neg.f64 (neg.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))
(+.f64 104698244219447/31250000000000 (*.f64 z (+.f64 6012459259764103/1000000000000000 z)))

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
	0.4b	(*.f64 z 6012459259764103/1000000000000000)
	0.5b	(*.f64 z 692910599291889/10000000000000000)
✓	13.1b	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

Compiler

Compiled 120 to 91 computations (24.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	inf	(/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
0.0ms	z	@	0	(/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
0.0ms	z	@	-inf	(/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
0.0ms	z	@	inf	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
0.0ms	z	@	0	(/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

rewrite127.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1914×	`rational.json-simplify-35`
1880×	`rational.json-1`
1168×	`rational.json-simplify-2`
1050×	`rational.json-2`
1050×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	92
1	123	90
2	279	90
3	702	90
4	2077	90
5	4567	90
6	7820	90

Stop Event

1×	node limit

Counts

2 → 84

Calls

Call 1

Inputs

(/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))

(/.f64 -1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 1/2 (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 1/2 (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (+.f64 (*.f64 z 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 2) (/.f64 1 (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) -2) (/.f64 1 (*.f64 (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) -2) (*.f64 -1 (/.f64 1/2 (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 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simplify325.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1324×	`rational.json-simplify-51`
904×	`rational.json-simplify-44`
880×	`rational.json-simplify-47`
856×	`rational.json-simplify-2`
758×	`rational.json-simplify-55`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	232	4836
1	454	4540
2	873	4540
3	1674	4540
4	5350	4540

Stop Event

1×	node limit

Counts

108 → 128

Calls

Call 1

Inputs
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (.f64 4826235427743142976019641556418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (.f64 4826235427743142976019641556418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) (*.f64 -29017543887335826428974927619156704264717865902668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)))))
(*.f64 692910599291889/60124592597641030 z)
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(.f64 (+.f64 104698244219447/31250000000000 (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/500000000000000))) (.f64 (/.f64 -1 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1/2))
(.f64 2 (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(.f64 2 (.f64 (.f64 (/.f64 -1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1/2) (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(.f64 2 (.f64 (/.f64 -1 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 4)) (+.f64 104698244219447/31250000000000 (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/500000000000000)))))
(.f64 (.f64 -2 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) 1/2)
(.f64 (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 4) (/.f64 -1 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 4)))
(.f64 (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 4) (.f64 1/2 (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(.f64 (/.f64 -1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(.f64 (/.f64 -1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (/.f64 1 (/.f64 1 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(.f64 (neg.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) -1)
(.f64 4 (.f64 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2) (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(.f64 (.f64 (+.f64 104698244219447/31250000000000 (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/500000000000000))) 4) (.f64 1/4 (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(.f64 (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (neg.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(.f64 1/2 (.f64 -2 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(.f64 (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/500000000000000))))
(.f64 (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2) (.f64 -1 (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(.f64 (.f64 2 (/.f64 -1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) (.f64 1/2 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(.f64 (.f64 (/.f64 -1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1/2) (+.f64 104698244219447/31250000000000 (+.f64 104698244219447/31250000000000 (*.f64 z 6012459259764103/500000000000000))))
(.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 -1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) 2)
(.f64 (/.f64 -1 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 4)) (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 4))
(pow.f64 (/.f64 (neg.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1)
(neg.f64 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))

Outputs
279195317918525/3350343815022304
(+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (.f64 4826235427743142976019641556418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))
(+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (.f64 4826235427743142976019641556418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) 279195317918525/3350343815022304))
(+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 279195317918525/3350343815022304 (.f64 4826235427743142976019641556418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2))))
(+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 (.f64 4826235427743142976019641556418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) (*.f64 -29017543887335826428974927619156704264717865902668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)))))
(+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z) (+.f64 279195317918525/3350343815022304 (+.f64 (.f64 4826235427743142976019641556418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) (*.f64 -29017543887335826428974927619156704264717865902668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3)))))
(+.f64 (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) (+.f64 (.f64 4826235427743142976019641556418763933371314529/188034757901510979839193143041976607183277752320 (pow.f64 z 2)) (*.f64 -29017543887335826428974927619156704264717865902668095556552487/629981088144543617699065742275429975113587435159029727787745280 (pow.f64 z 3))))
(*.f64 692910599291889/60124592597641030 z)
(*.f64 z 692910599291889/60124592597641030)
(+.f64 (*.f64 692910599291889/60124592597641030 z) 13621841529893360872837506187224/180748331751615526979716036973045)
(+.f64 (*.f64 z 692910599291889/60124592597641030) 13621841529893360872837506187224/180748331751615526979716036973045)
(+.f64 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)) (+.f64 (.f64 692910599291889/60124592597641030 z) 13621841529893360872837506187224/180748331751615526979716036973045))
(+.f64 (+.f64 (.f64 z 692910599291889/60124592597641030) 13621841529893360872837506187224/180748331751615526979716036973045) (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)))
(+.f64 13621841529893360872837506187224/180748331751615526979716036973045 (+.f64 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)) (.f64 z 692910599291889/60124592597641030)))
(+.f64 (.f64 z 692910599291889/60124592597641030) (+.f64 13621841529893360872837506187224/180748331751615526979716036973045 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)) (+.f64 (.f64 692910599291889/60124592597641030 z) 13621841529893360872837506187224/180748331751615526979716036973045)) (*.f64 16169548015180762833348482468001721379390019841424701934254816/6533991886198413135092837894124119471178968819101775489211314405 (/.f64 1 (pow.f64 z 2))))
(+.f64 (+.f64 (.f64 z 692910599291889/60124592597641030) 13621841529893360872837506187224/180748331751615526979716036973045) (-.f64 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)) (*.f64 16169548015180762833348482468001721379390019841424701934254816/6533991886198413135092837894124119471178968819101775489211314405 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 z 692910599291889/60124592597641030) (+.f64 13621841529893360872837506187224/180748331751615526979716036973045 (-.f64 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)) (*.f64 16169548015180762833348482468001721379390019841424701934254816/6533991886198413135092837894124119471178968819101775489211314405 (/.f64 1 (pow.f64 z 2))))))
(-.f64 (+.f64 (+.f64 (.f64 z 692910599291889/60124592597641030) 13621841529893360872837506187224/180748331751615526979716036973045) (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z))) (*.f64 16169548015180762833348482468001721379390019841424701934254816/6533991886198413135092837894124119471178968819101775489211314405 (/.f64 1 (pow.f64 z 2))))
(+.f64 13621841529893360872837506187224/180748331751615526979716036973045 (-.f64 (+.f64 (.f64 z 692910599291889/60124592597641030) (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z))) (*.f64 16169548015180762833348482468001721379390019841424701934254816/6533991886198413135092837894124119471178968819101775489211314405 (/.f64 1 (pow.f64 z 2)))))
(*.f64 692910599291889/60124592597641030 z)
(*.f64 z 692910599291889/60124592597641030)
(+.f64 (*.f64 692910599291889/60124592597641030 z) 13621841529893360872837506187224/180748331751615526979716036973045)
(+.f64 (*.f64 z 692910599291889/60124592597641030) 13621841529893360872837506187224/180748331751615526979716036973045)
(+.f64 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)) (+.f64 (.f64 692910599291889/60124592597641030 z) 13621841529893360872837506187224/180748331751615526979716036973045))
(+.f64 (+.f64 (.f64 z 692910599291889/60124592597641030) 13621841529893360872837506187224/180748331751615526979716036973045) (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)))
(+.f64 13621841529893360872837506187224/180748331751615526979716036973045 (+.f64 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)) (.f64 z 692910599291889/60124592597641030)))
(+.f64 (.f64 z 692910599291889/60124592597641030) (+.f64 13621841529893360872837506187224/180748331751615526979716036973045 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z))))
(-.f64 (+.f64 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)) (+.f64 (.f64 692910599291889/60124592597641030 z) 13621841529893360872837506187224/180748331751615526979716036973045)) (*.f64 16169548015180762833348482468001721379390019841424701934254816/6533991886198413135092837894124119471178968819101775489211314405 (/.f64 1 (pow.f64 z 2))))
(+.f64 (+.f64 (.f64 z 692910599291889/60124592597641030) 13621841529893360872837506187224/180748331751615526979716036973045) (-.f64 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)) (*.f64 16169548015180762833348482468001721379390019841424701934254816/6533991886198413135092837894124119471178968819101775489211314405 (/.f64 1 (pow.f64 z 2)))))
(+.f64 (.f64 z 692910599291889/60124592597641030) (+.f64 13621841529893360872837506187224/180748331751615526979716036973045 (-.f64 (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z)) (*.f64 16169548015180762833348482468001721379390019841424701934254816/6533991886198413135092837894124119471178968819101775489211314405 (/.f64 1 (pow.f64 z 2))))))
(-.f64 (+.f64 (+.f64 (.f64 z 692910599291889/60124592597641030) 13621841529893360872837506187224/180748331751615526979716036973045) (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z))) (*.f64 16169548015180762833348482468001721379390019841424701934254816/6533991886198413135092837894124119471178968819101775489211314405 (/.f64 1 (pow.f64 z 2))))
(+.f64 13621841529893360872837506187224/180748331751615526979716036973045 (-.f64 (+.f64 (.f64 z 692910599291889/60124592597641030) (.f64 4826235427743142976019641556418763933371314529/1086741980926914805933762670701152706672869603635 (/.f64 1 z))) (*.f64 16169548015180762833348482468001721379390019841424701934254816/6533991886198413135092837894124119471178968819101775489211314405 (/.f64 1 (pow.f64 z 2)))))
-3350343815022304/279195317918525
(-.f64 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
(-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)
(-.f64 (+.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) (.f64 2003677000839492590518047652854306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2))) 3350343815022304/279195317918525)
(+.f64 (.f64 (pow.f64 z 2) 2003677000839492590518047652854306108478309176/544082054113166395691471098236108147273828125) (-.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))
(+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) (-.f64 (.f64 (pow.f64 z 2) 2003677000839492590518047652854306108478309176/544082054113166395691471098236108147273828125) 3350343815022304/279195317918525))
(+.f64 (-.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525) (.f64 (pow.f64 z 2) 2003677000839492590518047652854306108478309176/544082054113166395691471098236108147273828125))
(-.f64 (+.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) (+.f64 (.f64 -9701916113136157068389481526745283564975656756376454090785993/1519051620718896144731238710708768455317203651375836035156250 (pow.f64 z 3)) (*.f64 2003677000839492590518047652854306108478309176/544082054113166395691471098236108147273828125 (pow.f64 z 2)))) 3350343815022304/279195317918525)
(+.f64 (+.f64 (.f64 (pow.f64 z 2) 2003677000839492590518047652854306108478309176/544082054113166395691471098236108147273828125) (.f64 (pow.f64 z 3) -9701916113136157068389481526745283564975656756376454090785993/1519051620718896144731238710708768455317203651375836035156250)) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))
(+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) (-.f64 (+.f64 (.f64 (pow.f64 z 2) 2003677000839492590518047652854306108478309176/544082054113166395691471098236108147273828125) (*.f64 (pow.f64 z 3) -9701916113136157068389481526745283564975656756376454090785993/1519051620718896144731238710708768455317203651375836035156250)) 3350343815022304/279195317918525))
(+.f64 (-.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525) (+.f64 (.f64 (pow.f64 z 2) 2003677000839492590518047652854306108478309176/544082054113166395691471098236108147273828125) (*.f64 (pow.f64 z 3) -9701916113136157068389481526745283564975656756376454090785993/1519051620718896144731238710708768455317203651375836035156250)))
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(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 2 (.f64 (/.f64 -1 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 4)) (+.f64 104698244219447/31250000000000 (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/500000000000000)))))
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(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (.f64 -2 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) 1/2)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 4) (/.f64 -1 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 4)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 4) (.f64 1/2 (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
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(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (/.f64 -1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (/.f64 1 (/.f64 1 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (neg.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) -1)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 4 (.f64 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2) (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (.f64 (+.f64 104698244219447/31250000000000 (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/500000000000000))) 4) (.f64 1/4 (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (/.f64 1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (neg.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 1/2 (.f64 -2 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 104698244219447/31250000000000 (+.f64 104698244219447/31250000000000 (.f64 z 6012459259764103/500000000000000))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) -2) (.f64 -1 (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (.f64 2 (/.f64 -1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) (.f64 1/2 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (.f64 (/.f64 -1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1/2) (+.f64 104698244219447/31250000000000 (+.f64 104698244219447/31250000000000 (*.f64 z 6012459259764103/500000000000000))))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (/.f64 1 (/.f64 1 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (/.f64 -1 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (/.f64 -1/2 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))) 2)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(.f64 (/.f64 -1 (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) 4)) (.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 4))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(pow.f64 (/.f64 (neg.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) 1)
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(neg.f64 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))
(+.f64 -1 (-.f64 1 (/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (neg.f64 (+.f64 (.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)))

eval260.0ms (1.1%)

Compiler: Compiled 11370 to 8239 computations (27.5% saved)

prune216.0ms (0.9%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	704	4	708
Fresh	3	4	7
Picked	1	0	1
Done	4	4	8
Total	712	12	724

Error

Counts

724 → 12

Alt Table

Click to see full alt table

Status	Error	Program
▶	11.5b	(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
▶	13.7b	(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))
▶	11.4b	(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
▶	15.0b	(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
✓	14.6b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
	29.0b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (.f64 (/.f64 1 y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y))))))
	31.3b	(+.f64 x (.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
✓	20.6b	(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
▶	26.3b	(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
✓	11.4b	(+.f64 x (*.f64 y 279195317918525/3350343815022304))
✓	15.0b	(+.f64 x (*.f64 y 692910599291889/10000000000000000))
	31.8b	x

Compiler

Compiled 300 to 230 computations (23.3% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
✓	0.1b	(/.f64 (neg.f64 y) -3350343815022304/279195317918525)

Compiler

Compiled 18 to 10 computations (44.4% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (neg.f64 y) -3350343815022304/279195317918525)
0.0ms	x	@	-inf	(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
0.0ms	y	@	inf	(/.f64 (neg.f64 y) -3350343815022304/279195317918525)
0.0ms	y	@	-inf	(/.f64 (neg.f64 y) -3350343815022304/279195317918525)
0.0ms	x	@	0	(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))

rewrite225.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1668×	`rational.json-simplify-35`
1224×	`exponential.json-3`
1224×	`rational.json-1`
1224×	`rational.json-2`
1224×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	65	20
2	163	20
3	369	20
4	798	20
5	1905	20
6	3662	20
7	5275	20
8	6405	20
9	7264	20
10	7522	20
11	7814	20

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

Inputs
(/.f64 (neg.f64 y) -3350343815022304/279195317918525)
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 279195317918525/3350343815022304) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 y -279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (+.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 y -279195317918525/3350343815022304)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 279195317918525/6700687630044608) (*.f64 y 279195317918525/6700687630044608))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y 279195317918525/3350343815022304) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 y -279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (+.f64 1 (*.f64 y -279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 1 (*.f64 y -279195317918525/3350343815022304)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 y) -279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (*.f64 y -279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -2) -279195317918525/6700687630044608)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y 279195317918525/6700687630044608))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) 279195317918525/6700687630044608)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 y -279195317918525/6700687630044608))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/1675171907511152) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -4) -279195317918525/13401375260089216)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -279195317918525/3350343815022304) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -279195317918525/3350343815022304 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 y 13401375260089216/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) 279195317918525/13401375260089216)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -4 (/.f64 y -13401375260089216/279195317918525))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/837585953755576) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -8) -279195317918525/26802750520178432)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -279195317918525/1675171907511152) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y 279195317918525/1675171907511152))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -279195317918525/6700687630044608 (*.f64 y -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/1675171907511152 (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -279195317918525/1675171907511152 (*.f64 y -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -279195317918525/6700687630044608) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/6700687630044608 (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/6700687630044608) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -279195317918525/13401375260089216 (*.f64 y -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) 279195317918525/1675171907511152)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y -1/2) -279195317918525/1675171907511152)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (*.f64 y -279195317918525/1675171907511152))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 y 279195317918525/837585953755576))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y -13401375260089216/279195317918525) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/13401375260089216 (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 13401375260089216/279195317918525) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -279195317918525/26802750520178432 (*.f64 y -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y -279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (-.f64 1 (*.f64 y -279195317918525/3350343815022304))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y 279195317918525/3350343815022304) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 y 279195317918525/6700687630044608) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y 279195317918525/6700687630044608) (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 x 4) (*.f64 y 279195317918525/837585953755576)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 4) (*.f64 y 279195317918525/837585953755576)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)))))

simplify273.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1876×	`rational.json-simplify-2`
1716×	`rational.json-simplify-51`
1574×	`rational.json-simplify-1`
1462×	`rational.json-simplify-42`
1324×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	1084
1	256	1084
2	512	1084
3	1366	1084
4	2882	1084
5	3537	1084
6	3753	1084
7	4114	1084
8	4541	1084
9	4729	1084
10	5744	1084
11	5925	1084
12	6060	1084
13	6165	1084
14	7246	1084
15	7747	1084

Stop Event

1×	node limit

Counts

112 → 80

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(+.f64 0 (*.f64 y 279195317918525/3350343815022304))
(+.f64 -1 (-.f64 1 (*.f64 y -279195317918525/3350343815022304)))
(+.f64 -1 (-.f64 1 (+.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304)))))
(+.f64 -2 (-.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304))))
(+.f64 (-.f64 1 (*.f64 y -279195317918525/3350343815022304)) -1)
(+.f64 (.f64 y 279195317918525/6700687630044608) (.f64 y 279195317918525/6700687630044608))
(-.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(-.f64 0 (*.f64 y -279195317918525/3350343815022304))
(-.f64 0 (+.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304))))
(-.f64 1 (+.f64 1 (*.f64 y -279195317918525/3350343815022304)))
(-.f64 -1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304)))
(-.f64 (-.f64 1 (*.f64 y -279195317918525/3350343815022304)) 1)
(*.f64 y 279195317918525/3350343815022304)
(*.f64 (neg.f64 y) -279195317918525/3350343815022304)
(.f64 (.f64 y 279195317918525/3350343815022304) 1)
(.f64 1 (.f64 y 279195317918525/3350343815022304))
(.f64 -1 (.f64 y -279195317918525/3350343815022304))
(.f64 (.f64 y -2) -279195317918525/6700687630044608)
(.f64 2 (.f64 y 279195317918525/6700687630044608))
(*.f64 (+.f64 y y) 279195317918525/6700687630044608)
(.f64 -2 (.f64 y -279195317918525/6700687630044608))
(.f64 (.f64 y 279195317918525/1675171907511152) 1/2)
(.f64 (.f64 y -4) -279195317918525/13401375260089216)
(.f64 (.f64 y -279195317918525/3350343815022304) -1)
(*.f64 -279195317918525/3350343815022304 (neg.f64 y))
(*.f64 4 (/.f64 y 13401375260089216/279195317918525))
(.f64 (.f64 y 4) 279195317918525/13401375260089216)
(*.f64 -4 (/.f64 y -13401375260089216/279195317918525))
(.f64 (.f64 y 279195317918525/837585953755576) 1/4)
(.f64 (.f64 y -8) -279195317918525/26802750520178432)
(.f64 (.f64 y -279195317918525/1675171907511152) -1/2)
(.f64 1/2 (.f64 y 279195317918525/1675171907511152))
(*.f64 279195317918525/3350343815022304 y)
(.f64 -279195317918525/6700687630044608 (.f64 y -2))
(.f64 279195317918525/1675171907511152 (.f64 y 1/2))
(.f64 -279195317918525/1675171907511152 (.f64 y -1/2))
(.f64 (.f64 y -279195317918525/6700687630044608) -2)
(*.f64 279195317918525/6700687630044608 (+.f64 y y))
(.f64 (.f64 y 279195317918525/6700687630044608) 2)
(.f64 -279195317918525/13401375260089216 (.f64 y -4))
(.f64 (.f64 y 1/2) 279195317918525/1675171907511152)
(.f64 (.f64 y -1/2) -279195317918525/1675171907511152)
(.f64 -1/2 (.f64 y -279195317918525/1675171907511152))
(.f64 1/4 (.f64 y 279195317918525/837585953755576))
(*.f64 (/.f64 y -13401375260089216/279195317918525) -4)
(.f64 279195317918525/13401375260089216 (.f64 y 4))
(*.f64 (/.f64 y 13401375260089216/279195317918525) 4)
(.f64 -279195317918525/26802750520178432 (.f64 y -8))
(.f64 (+.f64 1 (+.f64 -1 (.f64 y -279195317918525/3350343815022304))) -1)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(neg.f64 (*.f64 y -279195317918525/3350343815022304))
(neg.f64 (+.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304))))
(-.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 0)
(-.f64 (+.f64 x (-.f64 1 (*.f64 y -279195317918525/3350343815022304))) 1)
(.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 1)
(.f64 1 (+.f64 (.f64 y 279195317918525/3350343815022304) x))
(.f64 2 (+.f64 (.f64 y 279195317918525/6700687630044608) (*.f64 x 1/2)))
(.f64 (+.f64 (+.f64 x x) (.f64 y 279195317918525/1675171907511152)) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 4))
(.f64 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 1/4)
(.f64 1/2 (+.f64 (+.f64 x x) (.f64 y 279195317918525/1675171907511152)))
(.f64 (+.f64 (.f64 y 279195317918525/6700687630044608) (*.f64 x 1/2)) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4))
(.f64 1/4 (+.f64 (.f64 x 4) (*.f64 y 279195317918525/837585953755576)))
(.f64 (/.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 4) 4)
(.f64 (+.f64 (.f64 x 4) (*.f64 y 279195317918525/837585953755576)) 1/4)
(/.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)
(/.f64 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)) 2)
(/.f64 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))))) 128)
(pow.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)

Outputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
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(*.f64 279195317918525/3350343815022304 y)
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(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
(-.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(*.f64 279195317918525/3350343815022304 y)
(-.f64 0 (*.f64 y -279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(-.f64 0 (+.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304))))
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
(-.f64 -1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304)))
(*.f64 279195317918525/3350343815022304 y)
(-.f64 (-.f64 1 (*.f64 y -279195317918525/3350343815022304)) 1)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (neg.f64 y) -279195317918525/3350343815022304)
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y 279195317918525/3350343815022304) 1)
(*.f64 279195317918525/3350343815022304 y)
(.f64 1 (.f64 y 279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(.f64 -1 (.f64 y -279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y -2) -279195317918525/6700687630044608)
(*.f64 279195317918525/3350343815022304 y)
(.f64 2 (.f64 y 279195317918525/6700687630044608))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (+.f64 y y) 279195317918525/6700687630044608)
(*.f64 279195317918525/3350343815022304 y)
(.f64 -2 (.f64 y -279195317918525/6700687630044608))
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y 279195317918525/1675171907511152) 1/2)
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y -4) -279195317918525/13401375260089216)
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y -279195317918525/3350343815022304) -1)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 -279195317918525/3350343815022304 (neg.f64 y))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 4 (/.f64 y 13401375260089216/279195317918525))
(.f64 (.f64 y 4) 279195317918525/13401375260089216)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 -4 (/.f64 y -13401375260089216/279195317918525))
(.f64 (.f64 y 279195317918525/837585953755576) 1/4)
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y -8) -279195317918525/26802750520178432)
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y -279195317918525/1675171907511152) -1/2)
(*.f64 279195317918525/3350343815022304 y)
(.f64 1/2 (.f64 y 279195317918525/1675171907511152))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(.f64 -279195317918525/6700687630044608 (.f64 y -2))
(*.f64 279195317918525/3350343815022304 y)
(.f64 279195317918525/1675171907511152 (.f64 y 1/2))
(*.f64 279195317918525/3350343815022304 y)
(.f64 -279195317918525/1675171907511152 (.f64 y -1/2))
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y -279195317918525/6700687630044608) -2)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/6700687630044608 (+.f64 y y))
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y 279195317918525/6700687630044608) 2)
(*.f64 279195317918525/3350343815022304 y)
(.f64 -279195317918525/13401375260089216 (.f64 y -4))
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y 1/2) 279195317918525/1675171907511152)
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y -1/2) -279195317918525/1675171907511152)
(*.f64 279195317918525/3350343815022304 y)
(.f64 -1/2 (.f64 y -279195317918525/1675171907511152))
(*.f64 279195317918525/3350343815022304 y)
(.f64 1/4 (.f64 y 279195317918525/837585953755576))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (/.f64 y -13401375260089216/279195317918525) -4)
(*.f64 -4 (/.f64 y -13401375260089216/279195317918525))
(.f64 279195317918525/13401375260089216 (.f64 y 4))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 (/.f64 y 13401375260089216/279195317918525) 4)
(*.f64 4 (/.f64 y 13401375260089216/279195317918525))
(.f64 -279195317918525/26802750520178432 (.f64 y -8))
(*.f64 279195317918525/3350343815022304 y)
(.f64 (+.f64 1 (+.f64 -1 (.f64 y -279195317918525/3350343815022304))) -1)
(*.f64 279195317918525/3350343815022304 y)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(*.f64 279195317918525/3350343815022304 y)
(neg.f64 (*.f64 y -279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(neg.f64 (+.f64 1 (+.f64 -1 (*.f64 y -279195317918525/3350343815022304))))
(*.f64 279195317918525/3350343815022304 y)
(-.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 0)
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(-.f64 (+.f64 x (-.f64 1 (*.f64 y -279195317918525/3350343815022304))) 1)
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(.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 1)
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(.f64 (/.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 4) 4)
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(.f64 (+.f64 (.f64 x 4) (*.f64 y 279195317918525/837585953755576)) 1/4)
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(/.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)
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(/.f64 (+.f64 (+.f64 x x) (*.f64 y 279195317918525/1675171907511152)) 2)
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(/.f64 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 4) 4)
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(/.f64 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8) 8)
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(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)) 16)
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(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))) 32)
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))) 64)
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(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))))) 128)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(pow.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (/.f64 y 40000000000000000/692910599291889) 4)
✓	0.0b	(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
✓	0.1b	(/.f64 y 40000000000000000/692910599291889)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series1.0ms (0%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(/.f64 y 40000000000000000/692910599291889)
0.0ms	y	@	0	(/.f64 y 40000000000000000/692910599291889)
0.0ms	y	@	inf	(/.f64 y 40000000000000000/692910599291889)
0.0ms	x	@	0	(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
0.0ms	y	@	-inf	(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))

rewrite213.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2306×	`rational.json-simplify-35`
2184×	`rational.json-simplify-2`
1802×	`rational.json-simplify-1`
1180×	`exponential.json-3`
1180×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	39
1	62	39
2	138	27
3	285	27
4	558	27
5	1251	27
6	2874	27
7	4943	27
8	5785	27
9	6884	27
10	6884	27
11	6884	27

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

Inputs
(/.f64 y 40000000000000000/692910599291889)
(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
(*.f64 (/.f64 y 40000000000000000/692910599291889) 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/40000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 692910599291889/40000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/80000000000000000) (*.f64 y 692910599291889/80000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y 692910599291889/40000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 692910599291889/40000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 692910599291889/40000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 y 160000000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 692910599291889/10000000000000000) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 692910599291889/40000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) 692910599291889/80000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y 692910599291889/80000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 692910599291889/5000000000000000) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 692910599291889/20000000000000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) 692910599291889/160000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/40000000000000000 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 8) 692910599291889/320000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/10000000000000000 (/.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/80000000000000000 (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y 692910599291889/20000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (/.f64 y 320000000000000000/692910599291889))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/20000000000000000 (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/5000000000000000 (/.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) 692910599291889/20000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 692910599291889/80000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/160000000000000000 (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 4) 692910599291889/10000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 160000000000000000/692910599291889) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 8) 692910599291889/5000000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 320000000000000000/692910599291889) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/8 (*.f64 y 692910599291889/5000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 692910599291889/320000000000000000 (*.f64 y 8))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 692910599291889/40000000000000000) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (+.f64 (*.f64 y 692910599291889/40000000000000000) (/.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (*.f64 y 692910599291889/10000000000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 y 692910599291889/20000000000000000) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (*.f64 y 692910599291889/5000000000000000))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 x (*.f64 y 692910599291889/10000000000000000))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (+.f64 x (*.f64 y 692910599291889/5000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y 692910599291889/20000000000000000) (*.f64 x 1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 4 (+.f64 x (*.f64 y 692910599291889/10000000000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y 692910599291889/40000000000000000) (/.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (*.f64 y 692910599291889/5000000000000000))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 x (*.f64 y 692910599291889/10000000000000000))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/40000000000000000) (*.f64 y 2078731797875667/40000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/10000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 692910599291889/10000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 692910599291889/20000000000000000) (*.f64 y 692910599291889/20000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 2078731797875667/40000000000000000) (*.f64 y 692910599291889/40000000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y 692910599291889/10000000000000000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 692910599291889/10000000000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 692910599291889/5000000000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 4) 40000000000000000/692910599291889)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 692910599291889/2500000000000000) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y 8) 80000000000000000/692910599291889)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 y 692910599291889/5000000000000000)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 y 4)) 160000000000000000/692910599291889)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (*.f64 y 692910599291889/5000000000000000))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (*.f64 y 4))) 320000000000000000/692910599291889)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 y 8) 40000000000000000/692910599291889) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 y 692910599291889/5000000000000000)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 y 8) 40000000000000000/692910599291889)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 y 4)))) 640000000000000000/692910599291889)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 4 (*.f64 y 4)) 40000000000000000/692910599291889) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 y 692910599291889/5000000000000000))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 (*.f64 y 8) 40000000000000000/692910599291889))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (/.f64 (*.f64 4 (*.f64 y 4)) 40000000000000000/692910599291889)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 y 4))))) 1280000000000000000/692910599291889)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 y 692910599291889/5000000000000000)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (/.f64 (*.f64 y 8) 40000000000000000/692910599291889)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (/.f64 (*.f64 4 (*.f64 y 4)) 40000000000000000/692910599291889))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 y 692910599291889/5000000000000000)))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 4 (*.f64 y 692910599291889/5000000000000000))))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (/.f64 (*.f64 y 8) 40000000000000000/692910599291889)))) (*.f64 2 (*.f64 2 (*.f64 2 (/.f64 (*.f64 y 8) 40000000000000000/692910599291889))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (/.f64 (*.f64 4 (*.f64 y 4)) 40000000000000000/692910599291889))) (*.f64 2 (*.f64 2 (/.f64 (*.f64 4 (*.f64 y 4)) 40000000000000000/692910599291889)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)))))

simplify348.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

3638×	`rational.json-simplify-51`
2568×	`rational.json-simplify-35`
1400×	`rational.json-simplify-2`
1060×	`rational.json-simplify-1`
690×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1197
1	370	1197
2	783	1197
3	2288	1197
4	4038	1197
5	4852	1197
6	5032	1197
7	5172	1197
8	5289	1197
9	5406	1197
10	5521	1197
11	5522	1197
12	5522	1197
13	5637	1197
14	5752	1197

Stop Event

1×	node limit

Counts

135 → 93

Calls

Call 1

Inputs
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 y 692910599291889/40000000000000000) 0)
(+.f64 0 (*.f64 y 692910599291889/40000000000000000))
(+.f64 (.f64 y 692910599291889/80000000000000000) (.f64 y 692910599291889/80000000000000000))
(-.f64 (*.f64 y 692910599291889/40000000000000000) 0)
(*.f64 y 692910599291889/40000000000000000)
(.f64 (.f64 y 692910599291889/40000000000000000) 1)
(*.f64 4 (/.f64 y 160000000000000000/692910599291889))
(.f64 (.f64 y 692910599291889/10000000000000000) 1/4)
(.f64 1 (.f64 y 692910599291889/40000000000000000))
(*.f64 (+.f64 y y) 692910599291889/80000000000000000)
(.f64 2 (.f64 y 692910599291889/80000000000000000))
(.f64 (.f64 y 692910599291889/5000000000000000) 1/8)
(.f64 (.f64 y 692910599291889/20000000000000000) 1/2)
(.f64 (.f64 y 4) 692910599291889/160000000000000000)
(*.f64 692910599291889/40000000000000000 y)
(.f64 (.f64 y 8) 692910599291889/320000000000000000)
(*.f64 692910599291889/10000000000000000 (/.f64 y 4))
(*.f64 692910599291889/80000000000000000 (+.f64 y y))
(.f64 1/2 (.f64 y 692910599291889/20000000000000000))
(*.f64 8 (/.f64 y 320000000000000000/692910599291889))
(.f64 692910599291889/20000000000000000 (.f64 y 1/2))
(*.f64 692910599291889/5000000000000000 (/.f64 y 8))
(.f64 (.f64 y 1/2) 692910599291889/20000000000000000)
(.f64 1/4 (.f64 y 692910599291889/10000000000000000))
(.f64 (.f64 y 692910599291889/80000000000000000) 2)
(.f64 692910599291889/160000000000000000 (.f64 y 4))
(*.f64 (/.f64 y 4) 692910599291889/10000000000000000)
(*.f64 (/.f64 y 160000000000000000/692910599291889) 4)
(*.f64 (/.f64 y 8) 692910599291889/5000000000000000)
(*.f64 (/.f64 y 320000000000000000/692910599291889) 8)
(.f64 1/8 (.f64 y 692910599291889/5000000000000000))
(.f64 692910599291889/320000000000000000 (.f64 y 8))
(pow.f64 (*.f64 y 692910599291889/40000000000000000) 1)
(-.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 0)
(.f64 4 (/.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 4))
(.f64 4 (+.f64 (.f64 y 692910599291889/40000000000000000) (/.f64 x 4)))
(.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 1)
(.f64 1 (+.f64 x (.f64 y 692910599291889/10000000000000000)))
(.f64 2 (+.f64 (.f64 y 692910599291889/20000000000000000) (*.f64 x 1/2)))
(.f64 (+.f64 x (+.f64 x (.f64 y 692910599291889/5000000000000000))) 1/2)
(.f64 (.f64 4 (+.f64 x (*.f64 y 692910599291889/10000000000000000))) 1/4)
(.f64 1/2 (+.f64 x (+.f64 x (.f64 y 692910599291889/5000000000000000))))
(.f64 (+.f64 (.f64 y 692910599291889/20000000000000000) (*.f64 x 1/2)) 2)
(.f64 1/4 (.f64 4 (+.f64 x (*.f64 y 692910599291889/10000000000000000))))
(.f64 (/.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 4) 4)
(.f64 (+.f64 (.f64 y 692910599291889/40000000000000000) (/.f64 x 4)) 4)
(/.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 1)
(/.f64 (+.f64 x (+.f64 x (*.f64 y 692910599291889/5000000000000000))) 2)
(/.f64 (.f64 4 (+.f64 x (.f64 y 692910599291889/10000000000000000))) 4)
(/.f64 (.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 8)))))) 256)
(pow.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 1)
(+.f64 (.f64 y 692910599291889/40000000000000000) (.f64 y 2078731797875667/40000000000000000))
(+.f64 (*.f64 y 692910599291889/10000000000000000) 0)
(+.f64 0 (*.f64 y 692910599291889/10000000000000000))
(+.f64 (.f64 y 692910599291889/20000000000000000) (.f64 y 692910599291889/20000000000000000))
(+.f64 (.f64 y 2078731797875667/40000000000000000) (.f64 y 692910599291889/40000000000000000))
(-.f64 (*.f64 y 692910599291889/10000000000000000) 0)
(/.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(/.f64 (*.f64 y 692910599291889/5000000000000000) 2)
(/.f64 (*.f64 y 4) 40000000000000000/692910599291889)
(/.f64 (*.f64 y 692910599291889/2500000000000000) 4)
(/.f64 (*.f64 y 8) 80000000000000000/692910599291889)
(/.f64 (.f64 4 (.f64 y 692910599291889/5000000000000000)) 8)
(/.f64 (.f64 4 (.f64 y 4)) 160000000000000000/692910599291889)
(/.f64 (.f64 2 (.f64 4 (*.f64 y 692910599291889/5000000000000000))) 16)
(/.f64 (.f64 2 (.f64 4 (*.f64 y 4))) 320000000000000000/692910599291889)
(/.f64 (/.f64 (*.f64 y 8) 40000000000000000/692910599291889) 2)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (.f64 y 692910599291889/5000000000000000)))) 32)
(/.f64 (.f64 2 (/.f64 (.f64 y 8) 40000000000000000/692910599291889)) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (.f64 y 4)))) 640000000000000000/692910599291889)
(/.f64 (/.f64 (.f64 4 (.f64 y 4)) 40000000000000000/692910599291889) 4)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (*.f64 y 692910599291889/5000000000000000))))) 64)
(/.f64 (.f64 2 (.f64 2 (/.f64 (*.f64 y 8) 40000000000000000/692910599291889))) 8)
(/.f64 (.f64 2 (/.f64 (.f64 4 (*.f64 y 4)) 40000000000000000/692910599291889)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (*.f64 y 4))))) 1280000000000000000/692910599291889)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (.f64 y 692910599291889/5000000000000000)))))) 128)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 y 8) 40000000000000000/692910599291889)))) 16)
(/.f64 (.f64 2 (.f64 2 (/.f64 (.f64 4 (.f64 y 4)) 40000000000000000/692910599291889))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (.f64 y 692910599291889/5000000000000000)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (.f64 y 692910599291889/5000000000000000))))))) 256)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 y 8) 40000000000000000/692910599291889)))) (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 y 8) 40000000000000000/692910599291889))))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (/.f64 (.f64 4 (.f64 y 4)) 40000000000000000/692910599291889))) (.f64 2 (.f64 2 (/.f64 (.f64 4 (.f64 y 4)) 40000000000000000/692910599291889)))) 32)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)

Outputs
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
x
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 y 692910599291889/40000000000000000) 0)
(*.f64 692910599291889/40000000000000000 y)
(+.f64 0 (*.f64 y 692910599291889/40000000000000000))
(*.f64 692910599291889/40000000000000000 y)
(+.f64 (.f64 y 692910599291889/80000000000000000) (.f64 y 692910599291889/80000000000000000))
(*.f64 692910599291889/40000000000000000 y)
(-.f64 (*.f64 y 692910599291889/40000000000000000) 0)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 y 692910599291889/40000000000000000)
(*.f64 692910599291889/40000000000000000 y)
(.f64 (.f64 y 692910599291889/40000000000000000) 1)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 4 (/.f64 y 160000000000000000/692910599291889))
(*.f64 692910599291889/40000000000000000 y)
(.f64 (.f64 y 692910599291889/10000000000000000) 1/4)
(*.f64 692910599291889/40000000000000000 y)
(.f64 1 (.f64 y 692910599291889/40000000000000000))
(*.f64 692910599291889/40000000000000000 y)
(*.f64 (+.f64 y y) 692910599291889/80000000000000000)
(*.f64 692910599291889/40000000000000000 y)
(.f64 2 (.f64 y 692910599291889/80000000000000000))
(*.f64 692910599291889/40000000000000000 y)
(.f64 (.f64 y 692910599291889/5000000000000000) 1/8)
(*.f64 692910599291889/40000000000000000 y)
(.f64 (.f64 y 692910599291889/20000000000000000) 1/2)
(*.f64 692910599291889/40000000000000000 y)
(.f64 (.f64 y 4) 692910599291889/160000000000000000)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/40000000000000000 y)
(.f64 (.f64 y 8) 692910599291889/320000000000000000)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/10000000000000000 (/.f64 y 4))
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/80000000000000000 (+.f64 y y))
(*.f64 692910599291889/40000000000000000 y)
(.f64 1/2 (.f64 y 692910599291889/20000000000000000))
(*.f64 692910599291889/40000000000000000 y)
(*.f64 8 (/.f64 y 320000000000000000/692910599291889))
(*.f64 692910599291889/40000000000000000 y)
(.f64 692910599291889/20000000000000000 (.f64 y 1/2))
(*.f64 692910599291889/40000000000000000 y)
(*.f64 692910599291889/5000000000000000 (/.f64 y 8))
(*.f64 692910599291889/40000000000000000 y)
(.f64 (.f64 y 1/2) 692910599291889/20000000000000000)
(*.f64 692910599291889/40000000000000000 y)
(.f64 1/4 (.f64 y 692910599291889/10000000000000000))
(*.f64 692910599291889/40000000000000000 y)
(.f64 (.f64 y 692910599291889/80000000000000000) 2)
(*.f64 692910599291889/40000000000000000 y)
(.f64 692910599291889/160000000000000000 (.f64 y 4))
(*.f64 692910599291889/40000000000000000 y)
(*.f64 (/.f64 y 4) 692910599291889/10000000000000000)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 (/.f64 y 160000000000000000/692910599291889) 4)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 (/.f64 y 8) 692910599291889/5000000000000000)
(*.f64 692910599291889/40000000000000000 y)
(*.f64 (/.f64 y 320000000000000000/692910599291889) 8)
(*.f64 692910599291889/40000000000000000 y)
(.f64 1/8 (.f64 y 692910599291889/5000000000000000))
(*.f64 692910599291889/40000000000000000 y)
(.f64 692910599291889/320000000000000000 (.f64 y 8))
(*.f64 692910599291889/40000000000000000 y)
(pow.f64 (*.f64 y 692910599291889/40000000000000000) 1)
(*.f64 692910599291889/40000000000000000 y)
(-.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 0)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 4 (/.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 4))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 4 (+.f64 (.f64 y 692910599291889/40000000000000000) (/.f64 x 4)))
(.f64 4 (+.f64 (.f64 692910599291889/40000000000000000 y) (/.f64 x 4)))
(.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 1)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 1 (+.f64 x (.f64 y 692910599291889/10000000000000000)))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 2 (+.f64 (.f64 y 692910599291889/20000000000000000) (*.f64 x 1/2)))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 (+.f64 x (+.f64 x (.f64 y 692910599291889/5000000000000000))) 1/2)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 (.f64 4 (+.f64 x (*.f64 y 692910599291889/10000000000000000))) 1/4)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 1/2 (+.f64 x (+.f64 x (.f64 y 692910599291889/5000000000000000))))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 (+.f64 (.f64 y 692910599291889/20000000000000000) (*.f64 x 1/2)) 2)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 1/4 (.f64 4 (+.f64 x (*.f64 y 692910599291889/10000000000000000))))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 (/.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 4) 4)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(.f64 (+.f64 (.f64 y 692910599291889/40000000000000000) (/.f64 x 4)) 4)
(.f64 4 (+.f64 (.f64 692910599291889/40000000000000000 y) (/.f64 x 4)))
(/.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 1)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(/.f64 (+.f64 x (+.f64 x (*.f64 y 692910599291889/5000000000000000))) 2)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(/.f64 (.f64 4 (+.f64 x (.f64 y 692910599291889/10000000000000000))) 4)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(/.f64 (.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 8) 8)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(/.f64 (.f64 2 (.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8)) 16)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 8))) 32)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 8)))) 64)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 8))))) 128)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 x (.f64 y 692910599291889/10000000000000000)) 8)))))) 256)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(pow.f64 (+.f64 x (*.f64 y 692910599291889/10000000000000000)) 1)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 (.f64 y 692910599291889/40000000000000000) (.f64 y 2078731797875667/40000000000000000))
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (*.f64 y 692910599291889/10000000000000000) 0)
(*.f64 y 692910599291889/10000000000000000)
(+.f64 0 (*.f64 y 692910599291889/10000000000000000))
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (.f64 y 692910599291889/20000000000000000) (.f64 y 692910599291889/20000000000000000))
(*.f64 y 692910599291889/10000000000000000)
(+.f64 (.f64 y 2078731797875667/40000000000000000) (.f64 y 692910599291889/40000000000000000))
(*.f64 y 692910599291889/10000000000000000)
(-.f64 (*.f64 y 692910599291889/10000000000000000) 0)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (*.f64 y 692910599291889/5000000000000000) 2)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (*.f64 y 4) 40000000000000000/692910599291889)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (*.f64 y 692910599291889/2500000000000000) 4)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (*.f64 y 8) 80000000000000000/692910599291889)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 4 (.f64 y 692910599291889/5000000000000000)) 8)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 4 (.f64 y 4)) 160000000000000000/692910599291889)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (.f64 4 (*.f64 y 692910599291889/5000000000000000))) 16)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (.f64 4 (*.f64 y 4))) 320000000000000000/692910599291889)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (/.f64 (*.f64 y 8) 40000000000000000/692910599291889) 2)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (.f64 y 692910599291889/5000000000000000)))) 32)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (/.f64 (.f64 y 8) 40000000000000000/692910599291889)) 4)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (.f64 2 (.f64 4 (.f64 y 4)))) 640000000000000000/692910599291889)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (/.f64 (.f64 4 (.f64 y 4)) 40000000000000000/692910599291889) 4)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (*.f64 y 692910599291889/5000000000000000))))) 64)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (.f64 2 (/.f64 (*.f64 y 8) 40000000000000000/692910599291889))) 8)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (/.f64 (.f64 4 (*.f64 y 4)) 40000000000000000/692910599291889)) 8)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (*.f64 y 4))))) 1280000000000000000/692910599291889)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (.f64 y 692910599291889/5000000000000000)))))) 128)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 y 8) 40000000000000000/692910599291889)))) 16)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (.f64 2 (.f64 2 (/.f64 (.f64 4 (.f64 y 4)) 40000000000000000/692910599291889))) 16)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (.f64 y 692910599291889/5000000000000000)))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 4 (.f64 y 692910599291889/5000000000000000))))))) 256)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 y 8) 40000000000000000/692910599291889)))) (.f64 2 (.f64 2 (.f64 2 (/.f64 (.f64 y 8) 40000000000000000/692910599291889))))) 32)
(*.f64 y 692910599291889/10000000000000000)
(/.f64 (+.f64 (.f64 2 (.f64 2 (/.f64 (.f64 4 (.f64 y 4)) 40000000000000000/692910599291889))) (.f64 2 (.f64 2 (/.f64 (.f64 4 (.f64 y 4)) 40000000000000000/692910599291889)))) 32)
(*.f64 y 692910599291889/10000000000000000)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(*.f64 y 692910599291889/10000000000000000)

localize9.0ms (0%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))

✓

0.3b

(/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000)

0.5b

(*.f64 y 11167812716741/40000000000000)

Compiler

Compiled 22 to 16 computations (27.3% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000)
0.0ms	y	@	inf	(/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000)
0.0ms	x	@	0	(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
0.0ms	y	@	-inf	(/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000)
0.0ms	x	@	inf	(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))

rewrite217.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2242×	`rational.json-simplify-35`
2218×	`rational.json-simplify-2`
1404×	`rational.json-simplify-1`
1048×	`exponential.json-3`
1048×	`rational.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	64	20
2	157	20
3	342	20
4	713	20
5	1627	20
6	3321	20
7	5140	20
8	5923	20
9	6763	20
10	6763	20
11	6763	20

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000)
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 279195317918525/3350343815022304) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 279195317918525/6700687630044608) (*.f64 y 279195317918525/6700687630044608))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y 279195317918525/3350343815022304) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 y 279195317918525/3350343815022304)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 11167812716741/40000000000000 (*.f64 y 31250000000000/104698244219447))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 11167812716741/40000000000000) 31250000000000/104698244219447)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/3350343815022304) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 y 279195317918525/3350343815022304))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 11167812716741/20000000000000) 15625000000000/104698244219447)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 31250000000000/104698244219447) 11167812716741/40000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 y 279195317918525/6700687630044608))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y y) 279195317918525/6700687630044608)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/1675171907511152) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 11167812716741/10000000000000) 7812500000000/104698244219447)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 31250000000000/104698244219447 (*.f64 y 11167812716741/40000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/3350343815022304 y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 11167812716741/20000000000000 (*.f64 y 15625000000000/104698244219447))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 y 279195317918525/1675171907511152) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 4) 279195317918525/13401375260089216)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/837585953755576) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 11167812716741/5000000000000) 3906250000000/104698244219447)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 1/2) 279195317918525/1675171907511152)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 11167812716741/80000000000000 (*.f64 y 62500000000000/104698244219447))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 y 279195317918525/1675171907511152))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 15625000000000/104698244219447) 11167812716741/20000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/6700687630044608 (+.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 15625000000000/104698244219447 (*.f64 y 11167812716741/20000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/1675171907511152 (*.f64 y 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 62500000000000/104698244219447 (*.f64 y 11167812716741/80000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 11167812716741/10000000000000 (/.f64 y 104698244219447/7812500000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 11167812716741/80000000000000) 62500000000000/104698244219447)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 y 279195317918525/837585953755576))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 y 279195317918525/6700687630044608) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 7812500000000/104698244219447 (*.f64 y 11167812716741/10000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 279195317918525/13401375260089216 (*.f64 y 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 y 104698244219447/7812500000000) 11167812716741/10000000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3906250000000/104698244219447 (*.f64 y 11167812716741/5000000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 y 279195317918525/1675171907511152) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 y 279195317918525/3350343815022304) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x (*.f64 y 279195317918525/1675171907511152))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (+.f64 x (*.f64 y 279195317918525/1675171907511152))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (*.f64 x 4) (*.f64 y 279195317918525/837585953755576)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 x 4) (*.f64 y 279195317918525/837585953755576)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (+.f64 x (*.f64 y 279195317918525/1675171907511152))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8))))) (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)))))

simplify317.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

4186×	`rational.json-simplify-41`
2156×	`rational.json-simplify-51`
1904×	`rational.json-simplify-2`
1256×	`rational.json-simplify-35`
628×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	128	988
1	223	988
2	464	988
3	1294	988
4	2748	988
5	3328	988
6	3413	988
7	3462	988
8	3504	988
9	3544	988
10	4765	988
11	4871	988
12	4913	988
13	4950	988
14	4982	988
15	5014	988
16	5492	988
17	5525	988
18	5558	988
19	5590	988

Stop Event

1×	node limit

Counts

100 → 69

Calls

Call 1

Inputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(+.f64 0 (*.f64 y 279195317918525/3350343815022304))
(+.f64 (.f64 y 279195317918525/6700687630044608) (.f64 y 279195317918525/6700687630044608))
(-.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(*.f64 y 279195317918525/3350343815022304)
(.f64 11167812716741/40000000000000 (.f64 y 31250000000000/104698244219447))
(.f64 (.f64 y 11167812716741/40000000000000) 31250000000000/104698244219447)
(.f64 (.f64 y 279195317918525/3350343815022304) 1)
(.f64 1 (.f64 y 279195317918525/3350343815022304))
(.f64 (.f64 y 11167812716741/20000000000000) 15625000000000/104698244219447)
(.f64 (.f64 y 31250000000000/104698244219447) 11167812716741/40000000000000)
(.f64 2 (.f64 y 279195317918525/6700687630044608))
(*.f64 (+.f64 y y) 279195317918525/6700687630044608)
(.f64 (.f64 y 279195317918525/1675171907511152) 1/2)
(.f64 (.f64 y 11167812716741/10000000000000) 7812500000000/104698244219447)
(.f64 31250000000000/104698244219447 (.f64 y 11167812716741/40000000000000))
(*.f64 279195317918525/3350343815022304 y)
(.f64 11167812716741/20000000000000 (.f64 y 15625000000000/104698244219447))
(.f64 4 (/.f64 (.f64 y 279195317918525/1675171907511152) 8))
(.f64 (.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000)
(.f64 (.f64 y 4) 279195317918525/13401375260089216)
(.f64 (.f64 y 279195317918525/837585953755576) 1/4)
(.f64 (.f64 y 11167812716741/5000000000000) 3906250000000/104698244219447)
(.f64 (.f64 y 1/2) 279195317918525/1675171907511152)
(.f64 11167812716741/80000000000000 (.f64 y 62500000000000/104698244219447))
(.f64 1/2 (.f64 y 279195317918525/1675171907511152))
(.f64 (.f64 y 15625000000000/104698244219447) 11167812716741/20000000000000)
(*.f64 279195317918525/6700687630044608 (+.f64 y y))
(.f64 15625000000000/104698244219447 (.f64 y 11167812716741/20000000000000))
(.f64 279195317918525/1675171907511152 (.f64 y 1/2))
(.f64 62500000000000/104698244219447 (.f64 y 11167812716741/80000000000000))
(*.f64 11167812716741/10000000000000 (/.f64 y 104698244219447/7812500000000))
(.f64 (.f64 y 11167812716741/80000000000000) 62500000000000/104698244219447)
(.f64 1/4 (.f64 y 279195317918525/837585953755576))
(.f64 (.f64 y 279195317918525/6700687630044608) 2)
(.f64 7812500000000/104698244219447 (.f64 y 11167812716741/10000000000000))
(.f64 279195317918525/13401375260089216 (.f64 y 4))
(*.f64 (/.f64 y 104698244219447/7812500000000) 11167812716741/10000000000000)
(.f64 3906250000000/104698244219447 (.f64 y 11167812716741/5000000000000))
(.f64 (/.f64 (.f64 y 279195317918525/1675171907511152) 8) 4)
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(-.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 0)
(.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 1)
(.f64 1 (+.f64 (.f64 y 279195317918525/3350343815022304) x))
(.f64 2 (+.f64 (.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)))
(.f64 (+.f64 x (+.f64 x (.f64 y 279195317918525/1675171907511152))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 4))
(.f64 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4) 1/4)
(.f64 1/2 (+.f64 x (+.f64 x (.f64 y 279195317918525/1675171907511152))))
(.f64 (+.f64 (.f64 x 1/2) (*.f64 y 279195317918525/6700687630044608)) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 4))
(.f64 1/4 (+.f64 (.f64 x 4) (*.f64 y 279195317918525/837585953755576)))
(.f64 (/.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 4) 4)
(.f64 (+.f64 (.f64 x 4) (*.f64 y 279195317918525/837585953755576)) 1/4)
(/.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)
(/.f64 (+.f64 x (+.f64 x (*.f64 y 279195317918525/1675171907511152))) 2)
(/.f64 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))) 32)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 8)))) 64)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))))) 128)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8))))) (.f64 2 (.f64 2 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 y 279195317918525/3350343815022304) x) 8)))))) 256)
(pow.f64 (+.f64 (*.f64 y 279195317918525/3350343815022304) x) 1)

Outputs
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
x
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(+.f64 x (*.f64 279195317918525/3350343815022304 y))
(+.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(*.f64 279195317918525/3350343815022304 y)
(+.f64 0 (*.f64 y 279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 y 279195317918525/6700687630044608) (.f64 y 279195317918525/6700687630044608))
(*.f64 279195317918525/3350343815022304 y)
(-.f64 (*.f64 y 279195317918525/3350343815022304) 0)
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
(*.f64 279195317918525/3350343815022304 y)
(.f64 11167812716741/40000000000000 (.f64 y 31250000000000/104698244219447))
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y 11167812716741/40000000000000) 31250000000000/104698244219447)
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y 279195317918525/3350343815022304) 1)
(*.f64 279195317918525/3350343815022304 y)
(.f64 1 (.f64 y 279195317918525/3350343815022304))
(*.f64 279195317918525/3350343815022304 y)
(.f64 (.f64 y 11167812716741/20000000000000) 15625000000000/104698244219447)
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
(*.f64 (+.f64 y y) 279195317918525/6700687630044608)
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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(*.f64 279195317918525/3350343815022304 y)
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localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
✓	0.0b	(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
✓	0.2b	(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
✓	0.3b	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))

Compiler

Compiled 32 to 22 computations (31.3% saved)

series2.0ms (0%)

Counts

4 → 72

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
0.0ms	z	@	inf	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
0.0ms	z	@	-inf	(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
0.0ms	x	@	0	(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
0.0ms	z	@	inf	(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))

rewrite123.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`rational.json-1`
1426×	`rational.json-2`
1426×	`rational.json-3`
1424×	`rational.json-4`
1416×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	64
1	75	64
2	162	64
3	361	64
4	777	64
5	2109	64
6	5514	64

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

Inputs
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (.f64 y 1/2)) (.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 y (.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (.f64 y 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 8)) (.f64 2 (.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 751220861604756070699018739433/20000000000000000000000000000000 z) (/.f64 751220861604756070699018739433/20000000000000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 -751220861604756070699018739433/10000000000000000000000000000000 z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 z (/.f64 10000000000000000000000000000000/751220861604756070699018739433 (.f64 z (.f64 z 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simplify239.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational.json-simplify-35`
1370×	`rational.json-simplify-38`
1158×	`rational.json-simplify-51`
1030×	`rational.json-simplify-46`
932×	`rational.json-simplify-1`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	169	3232
1	343	3232
2	930	3160
3	2223	3160
4	4376	3160
5	5701	3130
6	6283	3130
7	7177	3034

Stop Event

1×	node limit

Counts

154 → 112

Calls

Call 1

Inputs
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Outputs
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(+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(-.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 0)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 (+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 1)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 1 (+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 2 (.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 1/2))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 2 (+.f64 (.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (.f64 y 1/2)) (.f64 x 1/2)))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 (.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 2) 1/2)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 4 (/.f64 (+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 4))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 (.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 4) 1/4)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 1/2 (.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 2))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 1/2 (+.f64 (.f64 y (*.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2)) (+.f64 x x)))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 1/4 (.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 4))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 (.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 1/2) 2)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(.f64 (/.f64 (+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 4) 4)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(/.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 1)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(/.f64 (.f64 (+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 2) 2)
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(/.f64 (.f64 (+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 4) 4)
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(/.f64 (.f64 (+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 8) 8)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 8)) 16)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 8)) (.f64 2 (.f64 (+.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 8))) 32)
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(pow.f64 (+.f64 (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) x) 1)
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localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

New

Error

Program

✓

0.0b

(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))

✓

0.1b

(*.f64 z -155900051080628738716045985239/389750127738131234692690878125)

✓

0.1b

(/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))

Compiler

Compiled 36 to 23 computations (36.1% saved)

series8.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))
1.0ms	y	@	inf	(/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))
1.0ms	z	@	inf	(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))
1.0ms	x	@	0	(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))
1.0ms	y	@	-inf	(/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1312×	`rational.json-simplify-2`
1298×	`rational.json-1`
1298×	`rational.json-2`
1298×	`rational.json-4`
1298×	`rational.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	59
1	92	59
2	223	51
3	572	51
4	1593	51
5	4279	51

Stop Event

1×	node limit

Counts

3 → 114

Calls

Call 1

Inputs

(/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))

(*.f64 z -155900051080628738716045985239/389750127738131234692690878125)

(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))

Outputs

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simplify201.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1124×	`rational.json-simplify-53`
1062×	`rational.json-simplify-38`
1050×	`rational.json-simplify-43`
1000×	`rational.json-simplify-1`
990×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	276	4794
1	614	3942
2	1296	3918
3	3077	3918
4	5204	3918
5	7342	3918

Stop Event

1×	node limit

Counts

186 → 176

Calls

Call 1

Inputs
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
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(+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z)) (.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))))))
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
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(.f64 -4 (.f64 (.f64 y 1/2) (/.f64 1/2 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525))))
(.f64 (/.f64 1 (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) y)
(.f64 (/.f64 1/2 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) (*.f64 y -2))
(.f64 1/2 (/.f64 (.f64 y -2) (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)))
(.f64 (.f64 2 (/.f64 1 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525))) (.f64 (neg.f64 y) 1/2))
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) 1/2) (.f64 y -2))
(.f64 (.f64 2 (/.f64 1 (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125)))) (.f64 y 1/2))
(.f64 (/.f64 (/.f64 y 2) (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) -2)
(.f64 (/.f64 y (.f64 (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525) -2)) 2)
(.f64 (/.f64 1/2 (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (+.f64 y y))
(.f64 (/.f64 1 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525) 4)) (.f64 y -4))
(.f64 (.f64 (/.f64 1 (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) -1/2) (+.f64 y y))
(.f64 (.f64 (/.f64 1 (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) (/.f64 y 2)) -2)
(.f64 (.f64 (/.f64 1 (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) (/.f64 y -2)) 2)
(.f64 (.f64 1/2 (/.f64 2 (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525))) (neg.f64 y))
(.f64 (.f64 (/.f64 y (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) 1/2) -2)
(.f64 (.f64 (/.f64 1 (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) (/.f64 (neg.f64 y) 2)) 2)
(.f64 (.f64 (/.f64 1 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) 1/4) (.f64 y -4))
(.f64 (.f64 (/.f64 1 (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) -1/2) (.f64 y -2))
(.f64 (.f64 (/.f64 1 (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (/.f64 y 2)) 2)
(.f64 (.f64 (/.f64 1 (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (/.f64 (neg.f64 y) -2)) 2)
(.f64 (.f64 (/.f64 1 (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) (/.f64 y -2)) -2)
(.f64 (.f64 -2 (/.f64 1/2 (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525))) y)
(.f64 (.f64 (/.f64 1/2 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) 1/2) (.f64 y -4))
(.f64 (.f64 1/2 (.f64 2 (/.f64 1 (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))))) y)
(.f64 (.f64 1/2 (/.f64 2 (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125)))) y)
(.f64 (.f64 1/2 (.f64 2 (/.f64 1 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)))) (neg.f64 y))
(.f64 (.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) 1/2) 2)
(.f64 (.f64 (/.f64 1 (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) 1/2) (+.f64 y y))
(.f64 (.f64 y (/.f64 1/2 (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525))) -2)
(.f64 (.f64 (neg.f64 y) (/.f64 1/2 (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525))) 2)
(.f64 (+.f64 (.f64 (/.f64 1 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) 1/2) (.f64 (/.f64 1 (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) 1/2)) (neg.f64 y))
(.f64 (+.f64 (/.f64 1 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525) 4)) (/.f64 1 (.f64 (+.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525) 4))) (.f64 y -2))
(pow.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) 1)
(neg.f64 (/.f64 y (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)))
(+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 0)
(+.f64 0 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))
(+.f64 (/.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) 2) (/.f64 (.f64 z -155900051080628738716045985239/389750127738131234692690878125) 2))
(-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 0)
(/.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 1)
(/.f64 (*.f64 z -311800102161257477432091970478/389750127738131234692690878125) 2)
(/.f64 (*.f64 z -623600204322514954864183940956/389750127738131234692690878125) 4)
(/.f64 (.f64 2 (.f64 z -623600204322514954864183940956/389750127738131234692690878125)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 z -623600204322514954864183940956/389750127738131234692690878125))) 16)
(pow.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 1)
(-.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 0)
(.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 1)
(.f64 1 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x))
(.f64 2 (/.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 2))
(.f64 (.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 2) 1/2)
(.f64 1/2 (.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 2))
(.f64 1/2 (+.f64 (/.f64 (.f64 y -2) (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) (+.f64 x x)))
(.f64 (/.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 2) 2)
(.f64 (+.f64 (/.f64 (.f64 y -2) (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) (+.f64 x x)) 1/2)
(/.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 1)
(/.f64 (.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 2) 2)
(/.f64 (.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 4))) 16)
(pow.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 1)

Outputs
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
(+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z)))
(+.f64 (.f64 y 279195317918525/3350343815022304) (.f64 y (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))
(+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 279195317918525/3350343815022304 y) (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (*.f64 y z))))
(+.f64 (.f64 y 279195317918525/3350343815022304) (+.f64 (.f64 y (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) (.f64 y (*.f64 (pow.f64 z 2) 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000))))
(+.f64 (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))) (.f64 (pow.f64 z 2) (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y)))
(.f64 y (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (pow.f64 z 2)) (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(.f64 y (+.f64 279195317918525/3350343815022304 (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (pow.f64 z 2)) (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (pow.f64 z 2))) (+.f64 (.f64 279195317918525/3350343815022304 y) (+.f64 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 (.f64 y z)) (.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (*.f64 y (pow.f64 z 3))))))
(+.f64 (.f64 y (.f64 (pow.f64 z 2) 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000)) (+.f64 (.f64 y 279195317918525/3350343815022304) (+.f64 (.f64 y (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) (.f64 y (*.f64 (pow.f64 z 3) -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000)))))
(+.f64 (.f64 y (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)) (+.f64 (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (pow.f64 z 3)))) (.f64 (pow.f64 z 2) (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 y))))
(+.f64 (.f64 y (.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (pow.f64 z 3))) (.f64 y (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (pow.f64 z 2)) (+.f64 279195317918525/3350343815022304 (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))))
(+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (.f64 y (pow.f64 z 2))) (.f64 y (+.f64 279195317918525/3350343815022304 (+.f64 (.f64 -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000 (pow.f64 z 3)) (*.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))))
(+.f64 (.f64 y (+.f64 (.f64 24304825926942649962295480741151107170296249740890205887121/262492120060226193983347556763129424308756361355250414448640000 (pow.f64 z 2)) (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080)))) (.f64 (pow.f64 z 3) (*.f64 y -3789123603516148862399452616370648829119343167491952050673923941632262622667114466206919/1227676047884713938902136124406103421221733893494451051781282641087889373841742558085120000000)))
(*.f64 389750127738131234692690878125/155900051080628738716045985239 (/.f64 y z))
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(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(.f64 1/2 (+.f64 (/.f64 (.f64 y -2) (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) (+.f64 x x)))
(+.f64 (.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(.f64 (/.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 2) 2)
(+.f64 (.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(.f64 (+.f64 (/.f64 (.f64 y -2) (+.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) -3350343815022304/279195317918525)) (+.f64 x x)) 1/2)
(+.f64 (.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(/.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 1)
(+.f64 (.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(/.f64 (.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 2) 2)
(+.f64 (.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(/.f64 (.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 4) 4)
(+.f64 (.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(/.f64 (.f64 2 (.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 4)) 8)
(+.f64 (.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 4))) 16)
(+.f64 (.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(pow.f64 (+.f64 (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125))) x) 1)
(+.f64 (.f64 -1 (/.f64 y (-.f64 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) x)
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))

eval135.0ms (0.6%)

Compiler: Compiled 6412 to 4720 computations (26.4% saved)

prune116.0ms (0.5%)

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	543	3	546
Fresh	0	3	3
Picked	1	0	1
Done	2	6	8
Total	546	12	558

Error

Counts

558 → 12

Alt Table

Click to see full alt table

Status	Error	Program
✓	11.4b	(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
	13.7b	(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
✓	15.0b	(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
✓	14.6b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
	29.0b	(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (.f64 (/.f64 1 y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y))))))
	11.6b	(+.f64 x (.f64 (.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000))
	31.3b	(+.f64 x (.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))
✓	26.3b	(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
✓	11.4b	(+.f64 x (*.f64 y 279195317918525/3350343815022304))
✓	15.0b	(+.f64 x (*.f64 y 692910599291889/10000000000000000))
	45.8b	(*.f64 y 692910599291889/10000000000000000)
	31.8b	x

Compiler

Compiled 171 to 131 computations (23.4% saved)

regimes381.0ms (1.6%)

Counts

29 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
(+.f64 x (.f64 (.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000))
(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))
(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
(+.f64 x (/.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) (/.f64 1 y)))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y)))
(+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(+.f64 x (/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y)))
(+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))
(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (.f64 (/.f64 1 y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y))))))
(+.f64 x (/.f64 (.f64 2 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000))))) (/.f64 (.f64 y (/.f64 2 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (.f64 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))
(+.f64 x (.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))

Outputs

(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))

(+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))

(+.f64 x (*.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))

Calls

5 calls:

142.0ms	y
137.0ms	x
42.0ms	z
25.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
25.0ms	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Results

Error	Segments	Branch
8.3b	5	`x`
8.8b	3	`y`
0.1b	3	`z`
0.1b	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
0.1b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 476 to 342 computations (28.2% saved)

bsearch43.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	4.0214064007762976e-5	2.8817025706291677
21.0ms	-2.0356255635719513e+36	-2.0058201783886956e+28

Results

37.0ms

288×

body

256

valid

Compiler

Compiled 840 to 671 computations (20.1% saved)

regimes397.0ms (1.7%)

Counts

28 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
(+.f64 x (.f64 (.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000))
(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))
(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
(+.f64 x (/.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) (/.f64 1 y)))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y)))
(+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(+.f64 x (/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y)))
(+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))
(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (.f64 (/.f64 1 y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) (.f64 (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y) (/.f64 (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y))))))
(+.f64 x (/.f64 (.f64 2 (+.f64 11167812716741/40000000000000 (.f64 z (+.f64 307332350656623/625000000000000 (.f64 z 692910599291889/10000000000000000))))) (/.f64 (.f64 y (/.f64 2 (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))) (.f64 (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000)))) (/.f64 y (+.f64 104698244219447/31250000000000 (.f64 z (+.f64 z 6012459259764103/1000000000000000))))))))

Outputs

(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))

(+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))))

(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))

Calls

5 calls:

158.0ms	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
87.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
60.0ms	x
46.0ms	y
35.0ms	z

Results

Error	Segments	Branch
8.3b	5	`x`
8.8b	3	`y`
0.1b	3	`z`
0.1b	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
0.1b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 457 to 327 computations (28.4% saved)

bsearch47.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
24.0ms	10409479116.746346	3.1274165756658313e+24
22.0ms	-2.0356255635719513e+36	-2.0058201783886956e+28

Results

40.0ms

304×

body

256

valid

Compiler

Compiled 771 to 612 computations (20.6% saved)

regimes418.0ms (1.8%)

Counts

25 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
(+.f64 x (.f64 (.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000))
(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))
(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
(+.f64 x (/.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) (/.f64 1 y)))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 x (.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))
(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000) y)))
(+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))))
(+.f64 x (/.f64 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) (/.f64 1 y)))

Outputs

(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))

(+.f64 x (*.f64 y (/.f64 (+.f64 (*.f64 z (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (*.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))

(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))

Calls

5 calls:

207.0ms	x
130.0ms	y
32.0ms	z
21.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
21.0ms	(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))

Results

Error	Segments	Branch
9.3b	3	`x`
8.8b	3	`y`
0.1b	3	`z`
0.1b	2	`(+.f64 x (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))`
0.1b	2	`(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))`

Compiler

Compiled 345 to 246 computations (28.7% saved)

bsearch36.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	10409479116.746346	3.1274165756658313e+24
21.0ms	-7.0152050582269435e+44	-1.8050477436902068e+37

Results

30.0ms

240×

body

256

valid

Compiler

Compiled 570 to 443 computations (22.3% saved)

regimes203.0ms (0.9%)

Counts

19 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
(+.f64 x (.f64 (.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000))
(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))
(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))
(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))
(+.f64 x (/.f64 (neg.f64 y) (-.f64 (*.f64 z -155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)))
(+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z)))))
(+.f64 x (/.f64 (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)) (/.f64 1 y)))
(+.f64 x (/.f64 (.f64 y 11167812716741/40000000000000) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)))
(+.f64 x (.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (/.f64 y (+.f64 (.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))

Outputs

(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))

(+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (*.f64 -155900051080628738716045985239/389750127738131234692690878125 z))))

(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))

Calls

3 calls:

163.0ms	y
26.0ms	z
9.0ms	x

Results

Error	Segments	Branch
11.4b	1	`x`
10.1b	3	`y`
0.2b	3	`z`

Compiler

Compiled 170 to 118 computations (30.6% saved)

bsearch297.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	4.0214064007762976e-5	2.8817025706291677
276.0ms	-21070290768614.324	-71733724216.83139

Results

292.0ms

272×

body

256

valid

Compiler

Compiled 472 to 363 computations (23.1% saved)

regimes159.0ms (0.7%)

Counts

13 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
(+.f64 x (.f64 (.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000))
(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))
(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))
(+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 z -155900051080628738716045985239/56124018394291031809500087342080))))

Outputs

(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))

(+.f64 x (*.f64 y (+.f64 279195317918525/3350343815022304 (*.f64 -155900051080628738716045985239/56124018394291031809500087342080 z))))

(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))

Calls

3 calls:

116.0ms	x
21.0ms	z
20.0ms	y

Results

Error	Segments	Branch
11.4b	1	`x`
10.1b	3	`y`
0.2b	3	`z`

Compiler

Compiled 97 to 67 computations (30.9% saved)

bsearch168.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
150.0ms	4.0214064007762976e-5	2.8817025706291677
18.0ms	-21070290768614.324	-71733724216.83139

Results

163.0ms

272×

body

256

valid

Compiler

Compiled 472 to 363 computations (23.1% saved)

regimes45.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
(+.f64 x (.f64 (.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000))
(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))
(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))
(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))

Outputs

(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))

(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))

(+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))

Calls

3 calls:

18.0ms	z
18.0ms	y
7.0ms	x

Results

Error	Segments	Branch
11.4b	1	`x`
10.1b	3	`y`
0.3b	3	`z`

Compiler

Compiled 79 to 55 computations (30.4% saved)

bsearch40.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	4.0214064007762976e-5	2.8817025706291677
19.0ms	-21070290768614.324	-71733724216.83139

Results

36.0ms

272×

body

256

valid

Compiler

Compiled 421 to 329 computations (21.9% saved)

regimes43.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
(+.f64 x (.f64 (.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000))
(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
(+.f64 x (/.f64 692910599291889/10000000000000000 (/.f64 1 y)))
(+.f64 x (/.f64 279195317918525/3350343815022304 (/.f64 1 y)))
(+.f64 x (/.f64 (*.f64 y 11167812716741/40000000000000) 104698244219447/31250000000000))

Outputs
(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
(+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))

Calls

3 calls:

19.0ms	z
16.0ms	y
6.0ms	x

Results

Error	Segments	Branch
11.4b	1	`x`
10.1b	3	`y`
0.5b	3	`z`

Compiler

Compiled 70 to 49 computations (30% saved)

bsearch41.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	4.0214064007762976e-5	2.8817025706291677
21.0ms	-21070290768614.324	-71733724216.83139

Results

37.0ms

272×

body

256

valid

Compiler

Compiled 387 to 312 computations (19.4% saved)

regimes33.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
(+.f64 x (.f64 (.f64 y 62500000000000/104698244219447) 11167812716741/80000000000000))

Outputs
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))

Calls

3 calls:

14.0ms	z
13.0ms	y
5.0ms	x

Results

Error	Segments	Branch
11.4b	1	`x`
10.1b	3	`y`
0.6b	3	`z`

Compiler

Compiled 42 to 29 computations (31% saved)

bsearch38.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	4.0214064007762976e-5	2.8817025706291677
17.0ms	-21070290768614.324	-71733724216.83139

Results

34.0ms

272×

body

256

valid

Compiler

Compiled 353 to 278 computations (21.2% saved)

regimes88.0ms (0.4%)

Counts

4 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))

Outputs
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(+.f64 x (*.f64 y 279195317918525/3350343815022304))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))

Calls

3 calls:

70.0ms	z
13.0ms	y
4.0ms	x

Results

Error	Segments	Branch
11.4b	1	`x`
10.2b	3	`y`
0.6b	3	`z`

Compiler

Compiled 29 to 20 computations (31% saved)

bsearch116.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	4.0214064007762976e-5	2.8817025706291677
96.0ms	-21070290768614.324	-71733724216.83139

Results

112.0ms

272×

body

256

valid

Compiler

Compiled 336 to 261 computations (22.3% saved)

regimes13.0ms (0.1%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(+.f64 x (*.f64 y 692910599291889/10000000000000000))

Outputs
(+.f64 x (*.f64 y 692910599291889/10000000000000000))

Calls

3 calls:

5.0ms	z
4.0ms	x
3.0ms	y

Results

Error	Segments	Branch
15.0b	1	`x`
15.0b	1	`y`
15.0b	1	`z`

Compiler

Compiled 24 to 17 computations (29.2% saved)

regimes35.0ms (0.2%)

Accuracy

Total -36.6b remaining (-145.8%)

Threshold costs -36.6b (-145.8%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)

Outputs
x
(*.f64 y 692910599291889/10000000000000000)
x

Calls

3 calls:

13.0ms	z
11.0ms	x
11.0ms	y

Results

Error	Segments	Branch
25.1b	3	`x`
26.4b	3	`y`
28.2b	5	`z`

Compiler

Compiled 19 to 14 computations (26.3% saved)

bsearch42.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	7.780117504263804e-116	8.637690141987824e-109
22.0ms	-8.516429354277381e-135	-8.53139266824685e-154

Results

38.0ms

304×

body

256

valid

Compiler

Compiled 258 to 213 computations (17.4% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	910

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 z -20999999999999998904649121792) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4)) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))) (+.f64 x (.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))))
(if (<=.f64 z -20999999999999998904649121792) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4)) (if (<=.f64 z 15000000000000000) (+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))) (+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))))
(if (<=.f64 z -1400000000000000006262269391341638123520) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4)) (if (<=.f64 z 10000000000000000) (+.f64 x (.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525)) (+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4)) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525)) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525)) (+.f64 x (.f64 y 692910599291889/10000000000000000))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (.f64 y 279195317918525/3350343815022304)) (+.f64 x (*.f64 y 692910599291889/10000000000000000))))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(if (<=.f64 x -2196735251241795/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) x (if (<=.f64 x 8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (*.f64 y 692910599291889/10000000000000000) x))
x

Outputs
(if (<=.f64 z -20999999999999998904649121792) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4)) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))) (+.f64 x (.f64 y (-.f64 (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))) (*.f64 4046220386999211718548694042263781576003973599/10000000000000000000000000000000000000000000000 (/.f64 1 (pow.f64 z 2))))))))
(if (<=.f64 z -20999999999999998904649121792) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4)) (if (<=.f64 z 15000000000000000) (+.f64 x (/.f64 (neg.f64 y) (/.f64 -1 (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000))))) (+.f64 x (*.f64 (/.f64 y 40000000000000000/692910599291889) 4))))
(if (<=.f64 z -1400000000000000006262269391341638123520) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4)) (if (<=.f64 z 10000000000000000) (+.f64 x (.f64 y (/.f64 (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)))) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (/.f64 y (-.f64 3350343815022304/279195317918525 (.f64 -155900051080628738716045985239/389750127738131234692690878125 z)))) (+.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (.f64 y (+.f64 279195317918525/3350343815022304 (.f64 -155900051080628738716045985239/56124018394291031809500087342080 z)))) (+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525)) (+.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4)) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525)) (+.f64 x (.f64 (/.f64 y 40000000000000000/692910599291889) 4))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (/.f64 (neg.f64 y) -3350343815022304/279195317918525)) (+.f64 x (.f64 y 692910599291889/10000000000000000))))
(if (<=.f64 z -72000000000) (+.f64 x (.f64 y 692910599291889/10000000000000000)) (if (<=.f64 z 6417629469002957/2251799813685248) (+.f64 x (.f64 y 279195317918525/3350343815022304)) (+.f64 x (*.f64 y 692910599291889/10000000000000000))))
(+.f64 x (*.f64 y 692910599291889/10000000000000000))
(if (<=.f64 x -2196735251241795/878694100496718043517683302282418331810487718418343092402491322775749527474899974671687634004666183037093927858109549828751614463963730408009475621262727315456) x (if (<=.f64 x 8799977056535789/676921312041214565326761275425557544784286395355423968547480366360991530225982818124993751490268451683933401113623918903558144) (*.f64 y 692910599291889/10000000000000000) x))
x

Compiler

Compiled 379 to 277 computations (26.9% saved)

soundness525.0ms (2.2%)

Algorithm

3×	egg-herbie

Rules

4974×	`rational.json-simplify-41`
4974×	`rational.json-simplify-41`
4974×	`rational.json-simplify-41`
1888×	`rational.json-simplify-35`
1888×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	61
1	34	61
2	49	61
3	83	61
4	169	61
5	412	61
6	581	61
7	654	61
8	843	61
9	1438	61
10	1945	61
11	2279	61
12	2585	61
13	2810	61
14	3035	61
15	3260	61
16	3485	61
17	3710	61
18	3935	61
19	3935	61
0	20	61
1	34	61
2	49	61
3	83	61
4	169	61
5	412	61
6	581	61
7	654	61
8	843	61
9	1438	61
10	1945	61
11	2279	61
12	2585	61
13	2810	61
14	3035	61
15	3260	61
16	3485	61
17	3710	61
18	3935	61
19	3935	61
0	20	61
1	34	61
2	49	61
3	83	61
4	169	61
5	412	61
6	581	61
7	654	61
8	843	61
9	1438	61
10	1945	61
11	2279	61
12	2585	61
13	2810	61
14	3035	61
15	3260	61
16	3485	61
17	3710	61
18	3935	61
19	3935	61

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 303 to 219 computations (27.7% saved)

end580.0ms (2.5%)

Compiler: Compiled 346 to 240 computations (30.6% saved)