Metrics for Numeric.SpecFunctions:logGamma from math-functions-0.1.5.2, B

analyze109.0ms (1.2%)

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
50%	49.9%	49.9%	0.1%	0%	0%	0%	4
50%	49.9%	49.9%	0.1%	0%	0%	0%	5
50%	49.9%	49.9%	0.1%	0%	0%	0%	6
50%	49.9%	49.9%	0.1%	0%	0%	0%	7
50%	49.9%	49.9%	0.1%	0%	0%	0%	8
50%	49.9%	49.9%	0.1%	0%	0%	0%	9
75%	74.9%	25%	0.1%	0%	0%	0%	10
75%	74.9%	25%	0.1%	0%	0%	0%	11
75%	74.9%	25%	0.1%	0%	0%	0%	12

Compiler

Compiled 25 to 19 computations (24% saved)

sample1.3s (14.5%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess111.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

4328×	`fma-def`
694×	`associate-r`
620×	`distribute-rgt-out`
488×	`associate-l`
450×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	196
1	111	196
2	237	180
3	620	180
4	1409	180
5	2558	180
6	2923	180
7	3230	180
8	3854	180
9	4678	180
10	4701	180
11	6139	180
12	6139	180
0	3	3

Stop Event

1×	saturated
1×	saturated

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

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify40.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1444×	`fma-def`
172×	`associate-r`
156×	`distribute-rgt-out`
126×	`*-commutative`
122×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	41	49
2	76	45
3	182	45
4	388	45
5	680	45
6	935	45
7	1042	45
8	1316	45
9	1759	45
10	1823	45
11	1824	45

Stop Event

1×

saturated

Counts

1 → 6

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

eval2.0ms (0%)

Compiler: Compiled 111 to 75 computations (32.4% saved)

prune5.0ms (0.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	2	4	6
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	5	7

Accurracy

72.5%

Counts

7 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.4%	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
▶	67.0%	(+.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)))
▶	72.3%	(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
▶	72.4%	(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
▶	72.4%	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
▶	67.0%	(+.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)))
▶	72.3%	(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
▶	72.4%	(+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))

Compiler

Compiled 172 to 124 computations (27.9% saved)

localize316.0ms (3.6%)

Local Accuracy

Found 16 expressions with local accuracy:

New	Accuracy	Program
✓	99.9%	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓	99.7%	(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)
✓	99.5%	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	73.4%	(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓	99.8%	(*.f64 (+.f64 z 6012459259764103/1000000000000000) z)
✓	99.2%	(*.f64 z 692910599291889/10000000000000000)
✓	92.6%	(.f64 y (+.f64 (.f64 (+.f64 (*.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000))
✓	67.6%	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
✓	99.9%	(fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)
✓	99.9%	(/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000)))
✓	99.5%	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	72.7%	(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
✓	99.9%	(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
✓	99.5%	(fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)
✓	93.9%	(/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
✓	67.6%	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))

Compiler

Compiled 307 to 213 computations (30.6% saved)

series30.0ms (0.3%)

Counts

16 → 276

Calls

69 calls:

Time	Variable		Point	Expression
6.0ms	y	@	0	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
2.0ms	y	@	0	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
1.0ms	z	@	inf	(/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))
1.0ms	z	@	inf	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))
1.0ms	y	@	inf	(*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))

rewrite230.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`expm1-udef`
572×	`add-sqr-sqrt`
550×	`pow1`
550×	`*-un-lft-identity`
536×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	390
1	729	390
2	7940	390

Stop Event

1×	node limit

Counts

16 → 591

Calls

Call 1

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

Outputs
(+.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000) (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(+.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))) (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 11167812716741/40000000000000))
(+.f64 (.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(+.f64 (.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (*.f64 11167812716741/40000000000000 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))) 1)
(/.f64 y (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y))
(/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 1 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 1 (/.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(/.f64 (pow.f64 (cbrt.f64 y) 2) (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 y)))
(/.f64 (pow.f64 (cbrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (cbrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (sqrt.f64 y) (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 y)))
(/.f64 (sqrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (sqrt.f64 (.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))))
(/.f64 (neg.f64 y) (/.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (.f64 y (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000))))))
(/.f64 (.f64 y (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (*.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (.f64 (neg.f64 y) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000))))))
(/.f64 (.f64 (neg.f64 y) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (*.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) y) (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) 1) (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (neg.f64 y)) (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) y) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) 1) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y)))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (neg.f64 y)) (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (neg.f64 (*.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (neg.f64 y))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(/.f64 (/.f64 y (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))) (sqrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (/.f64 y 1) (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (sqrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))))
(/.f64 (.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (/.f64 y (pow.f64 (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) 2)) (cbrt.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))
(/.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) 2))) (cbrt.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 1)
(pow.f64 (cbrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 3)
(pow.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))) 2)
(pow.f64 (/.f64 (/.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000) y) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) -1)
(neg.f64 (/.f64 y (/.f64 (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(neg.f64 (/.f64 (*.f64 y (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (neg.f64 (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(sqrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))))))
(cbrt.f64 (pow.f64 (*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000))) 3))
(cbrt.f64 (*.f64 (pow.f64 y 3) (pow.f64 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) 3)))
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(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000))))))
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(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
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(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))

simplify516.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

1068×	`fma-def`
842×	`times-frac`
634×	`distribute-rgt-in`
612×	`distribute-lft-in`
464×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1034	34133
1	2711	33527

Stop Event

1×	node limit

Counts

867 → 660

Calls

Call 1

Inputs
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307332350656623/625000000000000
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(.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (-.f64 11167812716741/40000000000000 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))

Outputs
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(*.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
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(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.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 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(/.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 y (/.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)))
(*.f64 279195317918525/3350343815022304 y)
(*.f64 y 279195317918525/3350343815022304)
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(fma.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (.f64 y 279195317918525/3350343815022304))
(+.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)))))
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(fma.f64 (+.f64 (.f64 y -14702013702633488474276834617/3507751149643189488093755458880) (.f64 -6012459259764103/3350343815022304 (.f64 y -155900051080628738716045985239/56124018394291031809500087342080))) (.f64 z z) (fma.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) (.f64 y 279195317918525/3350343815022304)))
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(fma.f64 -1 (.f64 (fma.f64 6012459259764103/3350343815022304 (-.f64 (.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (.f64 (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))) (.f64 (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 31250000000000/104698244219447)) (pow.f64 z 3)) (fma.f64 (-.f64 (.f64 y 692910599291889/33503438150223040) (fma.f64 272651677654809570312500000/10961722342634967150292985809 y (.f64 (.f64 y -155900051080628738716045985239/56124018394291031809500087342080) 6012459259764103/3350343815022304))) (.f64 z z) (fma.f64 279195317918525/3350343815022304 y (.f64 z (.f64 y -155900051080628738716045985239/56124018394291031809500087342080)))))
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(*.f64 692910599291889/10000000000000000 y)
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(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)) (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2)))
(*.f64 (cbrt.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)) (cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000) 2)))
(*.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (/.f64 1 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (*.f64 z 11167812716741/40000000000000))))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 11167812716741/40000000000000 z)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2) (+.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) -11167812716741/40000000000000))))
(.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (/.f64 1 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 11167812716741/40000000000000 z)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2) (+.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) -11167812716741/40000000000000))))
(/.f64 1 (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000) (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 11167812716741/40000000000000 z)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2) (+.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) -11167812716741/40000000000000))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (-.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 11167812716741/40000000000000 z)))))
(/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) (-.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 11167812716741/40000000000000))))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000) (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) -11167812716741/40000000000000))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000)) (neg.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 z 11167812716741/40000000000000))))))
(/.f64 (+.f64 (neg.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 3)) -1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (neg.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) (-.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) (.f64 11167812716741/40000000000000 z))))))
(.f64 1 (/.f64 (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 3) 1392850058529705972970166011484436857021/64000000000000000000000000000000000000000) (+.f64 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2) (+.f64 124720040876201995101661081/1600000000000000000000000000 (.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) -11167812716741/40000000000000)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2) -124720040876201995101661081/1600000000000000000000000000)) (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) 124720040876201995101661081/1600000000000000000000000000) (neg.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (*.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2)) (neg.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) -11167812716741/40000000000000)))
(/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000)) 2)) (-.f64 11167812716741/40000000000000 (.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000))))
(/.f64 (-.f64 124720040876201995101661081/1600000000000000000000000000 (pow.f64 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000)) 2)) (-.f64 11167812716741/40000000000000 (.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000))))
(pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 1)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (cbrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 3)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3) 1/3)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(pow.f64 (sqrt.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 2)
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(sqrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 2))
(fabs.f64 (fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000))
(log.f64 (exp.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(cbrt.f64 (pow.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) 3))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(expm1.f64 (log1p.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(exp.f64 (*.f64 (log.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)) 1))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)
(log1p.f64 (expm1.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)
(fma.f64 z (fma.f64 692910599291889/10000000000000000 z 307332350656623/625000000000000) 11167812716741/40000000000000)

eval671.0ms (7.6%)

Compiler: Compiled 21135 to 14809 computations (29.9% saved)

prune165.0ms (1.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	808	9	817
Fresh	0	0	0
Picked	3	1	4
Done	0	0	0
Total	811	10	821

Accurracy

100.0%

Counts

821 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	76.7%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
	67.7%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
	81.7%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	67.0%	(+.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)))
▶	77.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	78.0%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
	71.6%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶	81.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
▶	76.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	49.7%	x
▶	76.7%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
	67.7%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
	81.7%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	67.0%	(+.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)))
▶	77.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	78.0%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
	71.6%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶	81.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
▶	76.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	49.7%	x

Compiler

Compiled 408 to 302 computations (26% saved)

localize139.0ms (1.6%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	99.7%	(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
✓	99.7%	(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
✓	99.7%	(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
✓	96.2%	(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
✓	100.0%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	100.0%	(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
✓	99.8%	(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
✓	99.7%	(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
✓	100.0%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
✓	99.7%	(*.f64 279195317918525/3350343815022304 y)
✓	100.0%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
✓	99.9%	(/.f64 y 3350343815022304/279195317918525)
✓	100.0%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	99.9%	(/.f64 y 10000000000000000/692910599291889)

Compiler

Compiled 129 to 77 computations (40.3% saved)

series21.0ms (0.2%)

Counts

14 → 198

Calls

63 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
2.0ms	z	@	0	(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
2.0ms	y	@	0	(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
1.0ms	z	@	0	(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
1.0ms	y	@	0	(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))

rewrite189.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`add-sqr-sqrt`
570×	`add-exp-log`
570×	`add-log-exp`
570×	`pow1`
570×	`log1p-expm1-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	204
1	621	188

Stop Event

1×	node limit

Counts

14 → 408

Calls

Call 1

Inputs
(/.f64 y 10000000000000000/692910599291889)
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(*.f64 279195317918525/3350343815022304 y)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))
(-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000))) 1)
(*.f64 y 692910599291889/10000000000000000)
(.f64 1 (.f64 y 692910599291889/10000000000000000))
(.f64 (pow.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)))
(*.f64 (neg.f64 y) -692910599291889/10000000000000000)
(pow.f64 (*.f64 y 692910599291889/10000000000000000) 1)
(pow.f64 (cbrt.f64 (*.f64 y 692910599291889/10000000000000000)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 692910599291889/10000000000000000)) 2)
(pow.f64 (/.f64 10000000000000000/692910599291889 y) -1)
(neg.f64 (/.f64 y -10000000000000000/692910599291889))
(sqrt.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))
(log.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))
(expm1.f64 (log1p.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (log.f64 (*.f64 y 692910599291889/10000000000000000)))
(exp.f64 (.f64 (log.f64 (.f64 y 692910599291889/10000000000000000)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (.f64 y 692910599291889/10000000000000000))) (/.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(*.f64 1 (fma.f64 y 692910599291889/10000000000000000 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2) (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(*.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (*.f64 y 692910599291889/10000000000000000) x)))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (/.f64 1 (-.f64 x (*.f64 y 692910599291889/10000000000000000))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (.f64 y 692910599291889/10000000000000000) x))) (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))))
(/.f64 1 (/.f64 (-.f64 x (.f64 y 692910599291889/10000000000000000)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (-.f64 x (.f64 y 692910599291889/10000000000000000)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000))) (neg.f64 (fma.f64 x x (.f64 (.f64 y 692910599291889/10000000000000000) (-.f64 (.f64 y 692910599291889/10000000000000000) x)))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000))) (neg.f64 (-.f64 x (.f64 y 692910599291889/10000000000000000))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (-.f64 (.f64 x x) (.f64 (.f64 y 692910599291889/10000000000000000) x))))
(/.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 x x)) (-.f64 (.f64 y 692910599291889/10000000000000000) x))
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 2)
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 2))
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x))))
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 x) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 x)) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 x)))
(fma.f64 y 692910599291889/10000000000000000 x)
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) x)
(fma.f64 1 x (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) x)
(-.f64 (exp.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304))) 1)
(*.f64 y 279195317918525/3350343815022304)
(*.f64 279195317918525/3350343815022304 y)
(.f64 1 (.f64 y 279195317918525/3350343815022304))
(.f64 (cbrt.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (cbrt.f64 (.f64 y 279195317918525/3350343815022304)))
(.f64 (sqrt.f64 (.f64 y 279195317918525/3350343815022304)) (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)))
(*.f64 (neg.f64 y) -279195317918525/3350343815022304)
(.f64 (.f64 279195317918525/3350343815022304 (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))
(.f64 (.f64 279195317918525/3350343815022304 (sqrt.f64 y)) (sqrt.f64 y))
(pow.f64 (*.f64 y 279195317918525/3350343815022304) 1)
(pow.f64 (cbrt.f64 (*.f64 y 279195317918525/3350343815022304)) 3)
(pow.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y 279195317918525/3350343815022304)) 2)
(pow.f64 (/.f64 3350343815022304/279195317918525 y) -1)
(neg.f64 (/.f64 y -3350343815022304/279195317918525))
(sqrt.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))
(log.f64 (pow.f64 (exp.f64 y) 279195317918525/3350343815022304))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y 279195317918525/3350343815022304))))
(cbrt.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))
(expm1.f64 (log1p.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (log.f64 (*.f64 y 279195317918525/3350343815022304)))
(exp.f64 (.f64 (log.f64 (.f64 y 279195317918525/3350343815022304)) 1))
(log1p.f64 (expm1.f64 (*.f64 y 279195317918525/3350343815022304)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 y 279195317918525/3350343815022304 x))) 1)
(-.f64 (/.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))))
(-.f64 (/.f64 (.f64 x x) (+.f64 x (.f64 -279195317918525/3350343815022304 y))) (/.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))
(*.f64 1 (fma.f64 y 279195317918525/3350343815022304 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2) (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(*.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)))
(.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (/.f64 1 (+.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (+.f64 x (.f64 -279195317918525/3350343815022304 y))))))
(.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (/.f64 1 (fma.f64 x x (.f64 (.f64 y 279195317918525/3350343815022304) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))))))
(.f64 (-.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x x)) (/.f64 1 (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))))
(.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (/.f64 1 (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))
(/.f64 1 (/.f64 (+.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (+.f64 x (.f64 -279195317918525/3350343815022304 y)))) (+.f64 (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))))
(/.f64 1 (/.f64 (fma.f64 x x (.f64 (.f64 y 279195317918525/3350343815022304) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))) (+.f64 (pow.f64 x 3) (*.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))))
(/.f64 1 (/.f64 (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)) (-.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x))))
(/.f64 1 (/.f64 (+.f64 x (.f64 -279195317918525/3350343815022304 y)) (-.f64 (.f64 x x) (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3)) (+.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y)))))
(/.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464)) (fma.f64 x x (.f64 (*.f64 y 279195317918525/3350343815022304) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))))
(/.f64 (-.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x)) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x)))
(/.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416)) (+.f64 x (.f64 -279195317918525/3350343815022304 y)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464) (pow.f64 x 3))) (neg.f64 (+.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (.f64 x (+.f64 x (*.f64 -279195317918525/3350343815022304 y))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (.f64 (pow.f64 y 3) 21763282164526655827658843929444325890953125/37606951580302195967838628608395321436655550464))) (neg.f64 (fma.f64 x x (.f64 (*.f64 y 279195317918525/3350343815022304) (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416) (*.f64 x x))) (neg.f64 (fma.f64 y 279195317918525/3350343815022304 (neg.f64 x))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (.f64 (.f64 y y) 77950025547626246938538175625/11224803678858206361900017468416))) (neg.f64 (+.f64 x (.f64 -279195317918525/3350343815022304 y))))
(pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 1)
(pow.f64 (cbrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 3)
(pow.f64 (pow.f64 (fma.f64 y 279195317918525/3350343815022304 x) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 y 279195317918525/3350343815022304 x)) 2)
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simplify281.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

982×	`fma-def`
710×	`associate-l`
696×	`associate-r`
424×	`associate-/r*`
420×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	875	14974
1	2240	14158

Stop Event

1×	node limit

Counts

606 → 496

Calls

Call 1

Inputs
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(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 692910599291889/10000000000000000 y)
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x
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x
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x
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x
x
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(*.f64 692910599291889/10000000000000000 y)
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(/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z)
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(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
10000000000000000/692910599291889
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(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
(-.f64 10000000000000000/692910599291889 (*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z)))
10000000000000000/692910599291889
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(pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 3)
(pow.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2)
(pow.f64 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)) 1/3)
(pow.f64 (*.f64 z 160041699537014921582740396107/2504069538682520235663395798110) -1)
(sqrt.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(cbrt.f64 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(exp.f64 (log.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 1))
(log1p.f64 (expm1.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))

Outputs
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(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(exp.f64 (*.f64 (log.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))) 1))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(log1p.f64 (expm1.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(fma.f64 1 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889)) 2) (cbrt.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889)) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(fma.f64 (sqrt.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889)) (sqrt.f64 (fma.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (pow.f64 z -2) 10000000000000000/692910599291889)) (/.f64 -2504069538682520235663395798110/160041699537014921582740396107 z))
(+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))
(-.f64 (exp.f64 (log1p.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))) 1)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 z))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 1 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2) (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(*.f64 -2504069538682520235663395798110/160041699537014921582740396107 (/.f64 1 (neg.f64 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z) 1)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (cbrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 3)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (sqrt.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 2)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(pow.f64 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)) 1/3)
(cbrt.f64 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)))
(pow.f64 (*.f64 z 160041699537014921582740396107/2504069538682520235663395798110) -1)
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(sqrt.f64 (/.f64 6270364254557689706852415151458915283848193496650003879572100/25613345590696162165292110140311348483404994348943260755449 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(cbrt.f64 (/.f64 15701428126281638947301330141368631288413274089051284127680697962118102326466829604788731000/4099203359163921159572197153495851503274837392436387720732033198926137404027538318637043 (pow.f64 z 3)))
(expm1.f64 (log1p.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(exp.f64 (log.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(exp.f64 (*.f64 (log.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)) 1))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)
(log1p.f64 (expm1.f64 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)))
(/.f64 2504069538682520235663395798110/160041699537014921582740396107 z)

eval194.0ms (2.2%)

Compiler: Compiled 9168 to 6404 computations (30.1% saved)

prune99.0ms (1.1%)

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	515	1	516
Fresh	0	4	4
Picked	0	5	5
Done	0	1	1
Total	515	11	526

Accurracy

100.0%

Counts

526 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	76.7%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶	67.7%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
▶	81.7%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	67.0%	(+.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)))
✓	77.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	78.0%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	71.6%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶	78.1%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	81.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	76.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	49.7%	x
✓	76.7%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶	67.7%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
▶	81.7%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	67.0%	(+.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)))
✓	77.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	78.0%	(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
▶	71.6%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
▶	78.1%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	81.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	76.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	49.7%	x

Compiler

Compiled 264 to 196 computations (25.8% saved)

localize138.0ms (1.6%)

Local Accuracy

Found 14 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
✓	100.0%	(+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)
✓	99.6%	(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
✓	99.2%	(*.f64 692910599291889/10000000000000000 y)
✓	100.0%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	99.2%	(*.f64 692910599291889/10000000000000000 y)
✓	100.0%	(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
✓	100.0%	(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
✓	99.9%	(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
✓	99.7%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓	100.0%	(+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))
✓	99.9%	(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z)
✓	99.8%	(/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)
✓	96.2%	(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))

Compiler

Compiled 132 to 83 computations (37.1% saved)

series18.0ms (0.2%)

Counts

14 → 132

Calls

72 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
1.0ms	y	@	0	(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
1.0ms	y	@	0	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
1.0ms	z	@	inf	(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
1.0ms	y	@	inf	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))

rewrite177.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`add-sqr-sqrt`
636×	`pow1`
636×	`*-un-lft-identity`
632×	`add-exp-log`
632×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	208
1	651	208

Stop Event

1×	node limit

Counts

14 → 352

Calls

Call 1

Inputs
(/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)))
(/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z)
(/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z)
(+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(*.f64 692910599291889/10000000000000000 y)
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(*.f64 692910599291889/10000000000000000 y)
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(+.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x)
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))) 1)
(*.f64 y (/.f64 1 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))
(*.f64 1 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))) 2) (cbrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))))
(*.f64 (sqrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))) (sqrt.f64 (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))))
(*.f64 (neg.f64 y) (/.f64 1 (neg.f64 (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 y) 2) 1) (/.f64 (cbrt.f64 y) (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))
(*.f64 (/.f64 (sqrt.f64 y) 1) (/.f64 (sqrt.f64 y) (+.f64 10000000000000000/692910599291889 (/.f64 (+.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) -2504069538682520235663395798110/160041699537014921582740396107) z))))
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(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))))
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 1))
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2) (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000))

simplify220.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

774×	`fma-def`
728×	`associate-r`
560×	`associate-l`
460×	`*-commutative`
368×	`associate-/l*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	864	12778
1	2075	12284

Stop Event

1×	node limit

Counts

484 → 518

Calls

Call 1

Inputs
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Outputs
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(exp.f64 (*.f64 (log.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 1))
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(log1p.f64 (expm1.f64 (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 155900051080628738716045985239/389750127738131234692690878125 z 3350343815022304/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 1 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 z 155900051080628738716045985239/389750127738131234692690878125)) 2) (cbrt.f64 (.f64 z 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(fma.f64 (sqrt.f64 (.f64 z 155900051080628738716045985239/389750127738131234692690878125)) (sqrt.f64 (.f64 z 155900051080628738716045985239/389750127738131234692690878125)) 3350343815022304/279195317918525)
(fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) x))) 1)
(+.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))) (/.f64 (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 2) (-.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)))))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 2)) (-.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))))
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(*.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) x)) 2) (cbrt.f64 (+.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) x)))
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(.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 2) (/.f64 (.f64 x y) (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))))))
(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 2)))
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(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 2)) (-.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))))
(/.f64 1 (/.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 2) (*.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))))) (+.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 3))))
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(/.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 3) (pow.f64 x 3)) (fma.f64 x (-.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))) (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 2)))
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 2)) (-.f64 x (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 3) (pow.f64 x 3))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (/.f64 y (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525)) 2) (/.f64 (*.f64 x y) (fma.f64 z 155900051080628738716045985239/389750127738131234692690878125 3350343815022304/279195317918525))))))
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(/.f64 1 (/.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (-.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2))))
(/.f64 (-.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (-.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(/.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(/.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (-.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) (.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))))
(.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (-.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) (.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (+.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (.f64 y 692910599291889/10000000000000000)))))
(/.f64 (-.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (-.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(/.f64 (-.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (-.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (-.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) (.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3))) (neg.f64 (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (-.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) (.f64 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))))
(.f64 1 (/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (+.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2))) (neg.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (neg.f64 (-.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))))
(/.f64 (+.f64 (neg.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000)) (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2)) (+.f64 (*.f64 y -692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))
(/.f64 (+.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3) (.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000)) (+.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) (-.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (.f64 y 692910599291889/10000000000000000)))))
(.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (/.f64 1 (+.f64 (pow.f64 (.f64 y 692910599291889/10000000000000000) 2) (-.f64 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 2) (.f64 (.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))))
(/.f64 (fma.f64 (pow.f64 y 3) 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) 3)) (+.f64 (.f64 (.f64 y y) 480125098611044764748221188321/100000000000000000000000000000000) (.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (-.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (.f64 y 692910599291889/10000000000000000)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) 3) (pow.f64 x 3)) (+.f64 (.f64 (fma.f64 y 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) (fma.f64 y 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y)))) (-.f64 (.f64 x x) (*.f64 (fma.f64 y 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 z y))) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3)) (fma.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (.f64 x (-.f64 x (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3)) (fma.f64 x (-.f64 x (.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (.f64 y (.f64 (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))))
(pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 1)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(pow.f64 (cbrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 3)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(pow.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3) 1/3)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(pow.f64 (sqrt.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 2)
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(sqrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2))
(fabs.f64 (fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x))
(log.f64 (exp.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)))))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(cbrt.f64 (pow.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 3))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(expm1.f64 (log1p.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(exp.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(exp.f64 (*.f64 (log.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))) 1))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(log1p.f64 (expm1.f64 (fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 y 692910599291889/10000000000000000 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 692910599291889/10000000000000000 y (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 1 (*.f64 y 692910599291889/10000000000000000) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 1 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) 2) (cbrt.f64 (.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) 2) (cbrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (sqrt.f64 (.f64 y 692910599291889/10000000000000000)) (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)
(fma.f64 (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (sqrt.f64 (fma.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z) x)) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) x)

eval189.0ms (2.2%)

Compiler: Compiled 9203 to 6159 computations (33.1% saved)

prune92.0ms (1.1%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	530	2	532
Fresh	0	1	1
Picked	2	2	4
Done	1	5	6
Total	533	10	543

Accurracy

100.0%

Counts

543 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	23.9%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓	76.7%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶	30.7%	(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
✓	81.7%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	67.0%	(+.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)))
✓	77.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	78.1%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	81.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	76.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	49.7%	x
▶	23.9%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓	76.7%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
▶	30.7%	(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
✓	81.7%	(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
✓	67.0%	(+.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)))
✓	77.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	78.1%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	81.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	76.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	49.7%	x

Compiler

Compiled 232 to 174 computations (25% saved)

localize57.0ms (0.6%)

Local Accuracy

Found 7 expressions with local accuracy:

New	Accuracy	Program
	100.0%	(+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)
	99.9%	(*.f64 155900051080628738716045985239/389750127738131234692690878125 z)
	99.7%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
✓	100.0%	(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
✓	99.7%	(*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
✓	99.6%	(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
	99.2%	(*.f64 692910599291889/10000000000000000 y)

Compiler

Compiled 47 to 32 computations (31.9% saved)

series8.0ms (0.1%)

Counts

3 → 48

Calls

15 calls:

Time	Variable		Point	Expression
7.0ms	z	@	0	(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
0.0ms	y	@	inf	(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
0.0ms	z	@	inf	(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
0.0ms	z	@	-inf	(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)
0.0ms	y	@	0	(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))

rewrite102.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1038×	`log-prod`
704×	`prod-exp`
688×	`fma-def`
660×	`pow-prod-down`
474×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	222	39
2	2925	39

Stop Event

1×	node limit

Counts

3 → 145

Calls

Call 1

Inputs

(/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)

(*.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))

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

Outputs
(+.f64 0 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1)
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))
(*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 1)
(*.f64 1 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))
(.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (cbrt.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (.f64 z z))))
(.f64 (cbrt.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (.f64 z z))) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(*.f64 -751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 (neg.f64 z)))
(*.f64 (/.f64 1 z) 751220861604756070699018739433/10000000000000000000000000000000)
(pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 1)
(pow.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 3)
(pow.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)) 1/2)
(pow.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 2)
(pow.f64 (*.f64 z 10000000000000000000000000000000/751220861604756070699018739433) -1)
(pow.f64 (/.f64 (*.f64 z 10000000000000000000000000000000/751220861604756070699018739433) 1) -1)
(sqrt.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z)))
(log.f64 (exp.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(cbrt.f64 (pow.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 3))
(expm1.f64 (log1p.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(exp.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(exp.f64 (*.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2))
(exp.f64 (.f64 (log.f64 (.f64 z 10000000000000000000000000000000/751220861604756070699018739433)) -1))
(log1p.f64 (expm1.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 0 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))) 1)
(/.f64 y (*.f64 z 10000000000000000000000000000000/751220861604756070699018739433))
(/.f64 1 (/.f64 z (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)))
(/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) z)
(/.f64 (neg.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) (neg.f64 z))
(/.f64 (*.f64 y -751220861604756070699018739433/10000000000000000000000000000000) (neg.f64 z))
(/.f64 (*.f64 -751220861604756070699018739433/10000000000000000000000000000000 y) (neg.f64 z))
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) 1) z)
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
(/.f64 (/.f64 (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y) (sqrt.f64 z)) (sqrt.f64 z))
(pow.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 1)
(pow.f64 (cbrt.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y)) 3)
(pow.f64 (pow.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y)) 2)
(pow.f64 (/.f64 z (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) -1)
(sqrt.f64 (pow.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 2))
(log.f64 (pow.f64 (exp.f64 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 3))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y)))
(exp.f64 (log.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y)) 3) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))) 2))
(exp.f64 (+.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (*.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1) (log.f64 y)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1) (.f64 (log.f64 y) 1)))
(exp.f64 (+.f64 (log.f64 y) (*.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 y) 1) (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(exp.f64 (+.f64 (.f64 (log.f64 y) 1) (.f64 (log.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) 1)))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))) 1)
(-.f64 (/.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))) (/.f64 (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 2) (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(.f64 (.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)) 1)
(.f64 1 (.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))
(.f64 (cbrt.f64 (.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))) (pow.f64 (cbrt.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))) 2))
(.f64 (pow.f64 (cbrt.f64 (.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))) 2) (cbrt.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
(.f64 (sqrt.f64 (.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))) (sqrt.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
(.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 3)) (/.f64 1 (fma.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y (neg.f64 (.f64 y 692910599291889/10000000000000000))) (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)))))
(.f64 (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 2)) (/.f64 1 (*.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y (neg.f64 (.f64 y 692910599291889/10000000000000000))) (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y))) (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 3))))
(/.f64 1 (/.f64 (.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 2))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 3)) (fma.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y (neg.f64 (.f64 y 692910599291889/10000000000000000))) (.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y))))
(/.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 3)) (+.f64 (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 2) (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (/.f64 (.f64 (.f64 y 692910599291889/10000000000000000) (*.f64 751220861604756070699018739433/10000000000000000000000000000000 y)) z))))
(/.f64 (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 2)) (.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(/.f64 (neg.f64 (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 3))) (neg.f64 (fma.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y (neg.f64 (.f64 y 692910599291889/10000000000000000))) (.f64 480125098611044764748221188321/100000000000000000000000000000000 (*.f64 y y)))))
(/.f64 (neg.f64 (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 2))) (neg.f64 (.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 2) (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y))) (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y (neg.f64 (.f64 y 692910599291889/10000000000000000))))
(pow.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)) 1)
(pow.f64 (cbrt.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))) 3)
(pow.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) (fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y (neg.f64 (.f64 y 692910599291889/10000000000000000))) (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y))) (fma.f64 332683769813656330865983273121589448716828369/1000000000000000000000000000000000000000000000000 (pow.f64 y 3) (pow.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 3))) -1)
(pow.f64 (/.f64 (.f64 y (-.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (-.f64 (.f64 480125098611044764748221188321/100000000000000000000000000000000 (.f64 y y)) (pow.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 2))) -1)
(sqrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)) 2))
(log.f64 (pow.f64 (exp.f64 y) (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (+.f64 1 (expm1.f64 (.f64 y 692910599291889/10000000000000000)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))) (pow.f64 (exp.f64 y) 692910599291889/10000000000000000)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))) (+.f64 1 (expm1.f64 (*.f64 y 692910599291889/10000000000000000)))))
(log.f64 (.f64 (pow.f64 (exp.f64 y) 692910599291889/10000000000000000) (+.f64 1 (expm1.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y 692910599291889/10000000000000000))) (pow.f64 (exp.f64 y) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 y 692910599291889/10000000000000000))) (+.f64 1 (expm1.f64 (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y)))))
(cbrt.f64 (pow.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)) 3))
(expm1.f64 (log1p.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
(exp.f64 (log.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))))
(exp.f64 (.f64 (log.f64 (.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000)))) 1/3))
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(fma.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y (*.f64 y 692910599291889/10000000000000000))
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(fma.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) 1 (.f64 y 692910599291889/10000000000000000))
(fma.f64 692910599291889/10000000000000000 y (*.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))
(fma.f64 (.f64 y 692910599291889/10000000000000000) 1 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))
(fma.f64 1 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y) (.f64 y 692910599291889/10000000000000000))
(fma.f64 1 (.f64 y 692910599291889/10000000000000000) (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) y))
(fma.f64 (cbrt.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (.f64 z z))) (.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) y) (*.f64 y 692910599291889/10000000000000000))
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(fma.f64 (/.f64 y 1) (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (*.f64 y 692910599291889/10000000000000000))
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(fma.f64 (.f64 y (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (.f64 y 692910599291889/10000000000000000))

simplify114.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1232×	`unswap-sqr`
890×	`associate-/r*`
542×	`log-prod`
412×	`cancel-sign-sub-inv`
374×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	333	3887
1	786	3775
2	2676	3713

Stop Event

1×	node limit

Counts

193 → 167

Calls

Call 1

Inputs
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
(*.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z))
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(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 1 z))))
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Outputs
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(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(fma.f64 (.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) (sqrt.f64 y)) (sqrt.f64 y) (.f64 y 692910599291889/10000000000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(fma.f64 (.f64 y (cbrt.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (.f64 z z)))) (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (*.f64 y 692910599291889/10000000000000000))
(fma.f64 (cbrt.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (.f64 z z))) (.f64 y (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (*.f64 y 692910599291889/10000000000000000))
(.f64 y (+.f64 692910599291889/10000000000000000 (.f64 (cbrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (cbrt.f64 (/.f64 564332782910192073616717363631302375546337414698500349161489/100000000000000000000000000000000000000000000000000000000000000 (*.f64 z z))))))
(fma.f64 (.f64 y (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z))) (sqrt.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)) (.f64 y 692910599291889/10000000000000000))
(*.f64 y (+.f64 692910599291889/10000000000000000 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))

eval92.0ms (1%)

Compiler: Compiled 3977 to 2855 computations (28.2% saved)

prune54.0ms (0.6%)

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	285	4	289
Fresh	0	1	1
Picked	1	1	2
Done	1	6	7
Total	287	12	299

Accurracy

100.0%

Counts

299 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	23.9%	(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
	29.2%	(/.f64 y 3350343815022304/279195317918525)
✓	76.7%	(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
✓	67.0%	(+.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)))
✓	77.8%	(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
✓	78.1%	(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
✓	81.9%	(+.f64 x (/.f64 y 10000000000000000/692910599291889))
✓	76.7%	(+.f64 x (/.f64 y 3350343815022304/279195317918525))
	30.7%	(*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
	29.1%	(*.f64 y 279195317918525/3350343815022304)
	34.7%	(*.f64 y 692910599291889/10000000000000000)
	49.7%	x

Compiler

Compiled 311 to 220 computations (29.3% saved)

regimes160.0ms (1.8%)

Counts

20 → 2

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(*.f64 y 279195317918525/3350343815022304)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.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 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000)))
(+.f64 x (/.f64 y (/.f64 (fma.f64 (+.f64 z 6012459259764103/1000000000000000) z 104698244219447/31250000000000) (fma.f64 (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) z 11167812716741/40000000000000))))
(fma.f64 y (/.f64 (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000) (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) x)

Outputs

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

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

Calls

5 calls:

53.0ms	x
42.0ms	y
26.0ms	z
17.0ms	(/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000))
17.0ms	(+.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

Accuracy	Segments	Branch
88.1%	6	`x`
88.9%	4	`y`
99.9%	3	`z`
99.8%	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)))`
99.8%	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 245 to 169 computations (31% saved)

regimes71.0ms (0.8%)

Counts

17 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(*.f64 y 279195317918525/3350343815022304)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.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 y 10000000000000000/692910599291889))

(+.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 y 10000000000000000/692910599291889))

Calls

3 calls:

23.0ms

22.0ms

(/.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

Accuracy	Segments	Branch
99.8%	3	`z`
99.7%	3	`(+.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)))`
99.7%	3	`(/.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 184 to 128 computations (30.4% saved)

regimes27.0ms (0.3%)

Counts

16 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(*.f64 y 279195317918525/3350343815022304)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))
(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))
(+.f64 x (/.f64 y (-.f64 (+.f64 10000000000000000/692910599291889 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 (*.f64 z z))) (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))

Outputs

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

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

(+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))

Calls

1 calls:

23.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`z`

Compiler

Compiled 117 to 78 computations (33.3% saved)

regimes24.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(*.f64 y 279195317918525/3350343815022304)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))
(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))
(+.f64 (.f64 692910599291889/10000000000000000 y) (.f64 y (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z)))
(+.f64 (.f64 692910599291889/10000000000000000 y) (+.f64 (.f64 751220861604756070699018739433/10000000000000000000000000000000 (/.f64 y z)) x))

Outputs

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

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

(+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))

Calls

1 calls:

21.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`z`

Compiler

Compiled 89 to 59 computations (33.7% saved)

regimes21.0ms (0.2%)

Counts

11 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(*.f64 y 279195317918525/3350343815022304)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))
(+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525)))

Outputs

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

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

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

Calls

1 calls:

18.0ms

Results

Accuracy	Segments	Branch
99.6%	3	`z`

Compiler

Compiled 60 to 40 computations (33.3% saved)

regimes18.0ms (0.2%)

Counts

10 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)
(*.f64 y 279195317918525/3350343815022304)
(/.f64 y 3350343815022304/279195317918525)
(+.f64 x (/.f64 y 3350343815022304/279195317918525))
(+.f64 x (/.f64 y 10000000000000000/692910599291889))
(+.f64 (*.f64 692910599291889/10000000000000000 y) x)
(+.f64 (*.f64 279195317918525/3350343815022304 y) x)
(*.f64 y (+.f64 (/.f64 751220861604756070699018739433/10000000000000000000000000000000 z) 692910599291889/10000000000000000))
(/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))

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

Calls

1 calls:

16.0ms

Results

Accuracy	Segments	Branch
99.5%	3	`z`

Compiler

Compiled 51 to 34 computations (33.3% saved)

regimes46.0ms (0.5%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

30.0ms	z
10.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
76.7%	1	`x`
79.8%	2	`y`
84.5%	8	`z`

Compiler

Compiled 30 to 21 computations (30% saved)

regimes94.0ms (1.1%)

Counts

4 → 7

Calls

Call 1

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

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

Calls

3 calls:

53.0ms	z
24.0ms	y
16.0ms	x

Results

Accuracy	Segments	Branch
69.1%	14	`z`
63.8%	3	`x`
72.7%	7	`y`

Compiler

Compiled 25 to 18 computations (28% saved)

regimes32.0ms (0.4%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(*.f64 y 692910599291889/10000000000000000)

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

Calls

2 calls:

22.0ms	y
10.0ms	x

Results

Accuracy	Segments	Branch
63.8%	3	`x`
69.9%	7	`y`

Compiler

Compiled 15 to 11 computations (26.7% saved)

regimes6.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
x

Outputs
x

Calls

2 calls:

4.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
49.7%	1	`y`
49.7%	1	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	6.028945907849704e+300	+inf

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch49.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
45.0ms	8.605405743697515	2293711.047508828
4.0ms	-4.3144438784418593e+24	-2.0343459221417432e+21

Results

46.0ms

176×

body

256

valid

Compiler

Compiled 404 to 309 computations (23.5% saved)

bsearch39.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.368151070963872e-15	6.550346674037944e-12
20.0ms	-71912600855973495000.0	-47444842390095550.0

Results

35.0ms

256×

body

256

valid

Compiler

Compiled 446 to 343 computations (23.1% saved)

bsearch37.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
19.0ms	4.368151070963872e-15	6.550346674037944e-12
18.0ms	-71912600855973495000.0	-47444842390095550.0

Results

33.0ms

256×

body

256

valid

Compiler

Compiled 414 to 319 computations (22.9% saved)

bsearch57.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	4.368151070963872e-15	6.550346674037944e-12
18.0ms	-71912600855973495000.0	-47444842390095550.0

Results

53.0ms

256×

body

256

valid

Compiler

Compiled 382 to 295 computations (22.8% saved)

bsearch173.0ms (2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	4.368151070963872e-15	6.550346674037944e-12
143.0ms	-71912600855973495000.0	-47444842390095550.0

Results

169.0ms

256×

body

256

valid

Compiler

Compiled 318 to 247 computations (22.3% saved)

bsearch17.0ms (0.2%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-2.0070787468441564e+89	-9.824969229582059e+86

Results

15.0ms

112×

body

256

valid

Compiler

Compiled 142 to 114 computations (19.7% saved)

bsearch127.0ms (1.4%)

Algorithm

6×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
43.0ms	2.1440940269150974e+51	6.714275642596983e+52
18.0ms	1.7628544102489274e+31	1.3086575129863158e+35
17.0ms	15283030914782.41	1543946199757813.8
16.0ms	2.5351467791722026e-38	4.870995845910971e-36
14.0ms	3.0016091212791192e-52	2.112685561596885e-51
18.0ms	-5.4860175624924785e-12	-2.2597158116644076e-16

Results

90.0ms

688×

body

256

valid

Compiler

Compiled 546 to 453 computations (17% saved)

bsearch46.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
18.0ms	3.1190422917633857e+57	1.5131901014354021e+61
28.0ms	-2.9920210385207515e+40	-1.3922214664350495e+23

Results

42.0ms

288×

body

256

valid

Compiler

Compiled 246 to 203 computations (17.5% saved)

simplify22.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

34×	`+-commutative`
20×	`*-commutative`
8×	`sub-neg`
8×	`if-if-or-not`
4×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	104	654
1	142	654
2	151	654
3	155	654
4	157	654

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600) (+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 z -49999999999999995805696) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2250000) (+.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 y 10000000000000000/692910599291889))))
(if (<=.f64 z -48000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2011652563838743/309485009821345068724781056) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))))
(if (<=.f64 z -48000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2011652563838743/309485009821345068724781056) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -48000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2011652563838743/309485009821345068724781056) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 z -48000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2011652563838743/309485009821345068724781056) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (<=.f64 y -199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504) (*.f64 y 692910599291889/10000000000000000) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 y -4085202129641755/1237940039285380274899124224) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 y 7076986000127043/3369993333393829974333376885877453834204643052817571560137951281152) x (if (<=.f64 y 4190417494555165/11972621413014756705924586149611790497021399392059392) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 y 820000000000000) x (if (<=.f64 y 45000000000000000433189155934044160) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 y 65999999999999999552582612507867446446472757168308224) x (.f64 y 279195317918525/3350343815022304)))))))
(if (<=.f64 x -140000000000000008388608) x (if (<=.f64 x 3200000000000000294089072260588103618689102710901905031168) (*.f64 y 692910599291889/10000000000000000) x))
x

Outputs
(if (<=.f64 (/.f64 (.f64 y (+.f64 (.f64 (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000) z) 11167812716741/40000000000000)) (+.f64 (.f64 (+.f64 z 6012459259764103/1000000000000000) z) 104698244219447/31250000000000)) 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600) (+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 (/.f64 (.f64 y (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) 10000000000000000525047602552044202487044685811081591549158541155118024579889081957863713750804478640437044438328838781769425232353604305756447921847867069828483872009265758037378302337947880900593689532349707999450811190389676408800746527427801424945792587888200568428381156694721963868654594005401600) (+.f64 x (*.f64 (/.f64 y (fma.f64 z (+.f64 z 6012459259764103/1000000000000000) 104698244219447/31250000000000)) (fma.f64 z (fma.f64 z 692910599291889/10000000000000000 307332350656623/625000000000000) 11167812716741/40000000000000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)))
(if (<=.f64 z -49999999999999995805696) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2250000) (+.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 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -49999999999999995805696) (not (<=.f64 z 2250000))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 (/.f64 (.f64 y (+.f64 (.f64 z (+.f64 (.f64 z 692910599291889/10000000000000000) 307332350656623/625000000000000)) 11167812716741/40000000000000)) (+.f64 (.f64 z (+.f64 z 6012459259764103/1000000000000000)) 104698244219447/31250000000000)) x))
(if (<=.f64 z -48000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2011652563838743/309485009821345068724781056) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))))
(if (<=.f64 z -48000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2011652563838743/309485009821345068724781056) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (+.f64 10000000000000000/692910599291889 (/.f64 (-.f64 (/.f64 11226672587109583001949750908131634462275825760/110894589937885443621994424373863149572276123 z) 2504069538682520235663395798110/160041699537014921582740396107) z))))))
(if (<=.f64 z -48000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2011652563838743/309485009821345068724781056) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -48000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2011652563838743/309485009821345068724781056) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y (-.f64 10000000000000000/692910599291889 (/.f64 2504069538682520235663395798110/160041699537014921582740396107 z))))))
(if (<=.f64 z -48000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2011652563838743/309485009821345068724781056) (+.f64 x (/.f64 y (+.f64 (*.f64 155900051080628738716045985239/389750127738131234692690878125 z) 3350343815022304/279195317918525))) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -48000000000000000) (not (<=.f64 z 2011652563838743/309485009821345068724781056))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y (+.f64 (*.f64 z 155900051080628738716045985239/389750127738131234692690878125) 3350343815022304/279195317918525))))
(if (<=.f64 z -48000000000000000) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (if (<=.f64 z 2011652563838743/309485009821345068724781056) (+.f64 x (/.f64 y 3350343815022304/279195317918525)) (+.f64 x (/.f64 y 10000000000000000/692910599291889))))
(if (or (<=.f64 z -48000000000000000) (not (<=.f64 z 2011652563838743/309485009821345068724781056))) (+.f64 x (/.f64 y 10000000000000000/692910599291889)) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 y -199999999999999998950733150383609864631589220901364351243883389463816617076615690273685504) (*.f64 y 692910599291889/10000000000000000) (+.f64 x (/.f64 y 3350343815022304/279195317918525)))
(if (<=.f64 y -4085202129641755/1237940039285380274899124224) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 y 7076986000127043/3369993333393829974333376885877453834204643052817571560137951281152) x (if (<=.f64 y 4190417494555165/11972621413014756705924586149611790497021399392059392) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 y 820000000000000) x (if (<=.f64 y 45000000000000000433189155934044160) (.f64 y 692910599291889/10000000000000000) (if (<=.f64 y 65999999999999999552582612507867446446472757168308224) x (.f64 y 279195317918525/3350343815022304)))))))
(if (<=.f64 x -140000000000000008388608) x (if (<=.f64 x 3200000000000000294089072260588103618689102710901905031168) (*.f64 y 692910599291889/10000000000000000) x))
x

Compiler

Compiled 283 to 203 computations (28.3% saved)

soundness1.8s (20.5%)

Rules

1444×	`fma-def`
1444×	`fma-def`
1444×	`fma-def`
1232×	`unswap-sqr`
1068×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	49
1	41	49
2	76	45
3	182	45
4	388	45
5	680	45
6	935	45
7	1042	45
8	1316	45
9	1759	45
10	1823	45
11	1824	45
0	20	49
1	41	49
2	76	45
3	182	45
4	388	45
5	680	45
6	935	45
7	1042	45
8	1316	45
9	1759	45
10	1823	45
11	1824	45
0	864	12778
1	2075	12284
0	333	3887
1	786	3775
2	2676	3713
0	864	12778
1	2075	12284
0	1034	34133
1	2711	33527
0	1034	34133
1	2711	33527
0	25	204
1	621	188
0	20	49
1	41	49
2	76	45
3	182	45
4	388	45
5	680	45
6	935	45
7	1042	45
8	1316	45
9	1759	45
10	1823	45
11	1824	45

Stop Event

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

Compiler

Compiled 682 to 482 computations (29.3% saved)

end258.0ms (2.9%)

Compiler: Compiled 696 to 482 computations (30.7% saved)

analyze109.0ms (1.2%)

sample1.3s (14.5%)

preprocess111.0ms (1.3%)

simplify40.0ms (0.5%)

eval2.0ms (0%)

prune5.0ms (0.1%)

localize316.0ms (3.6%)

series30.0ms (0.3%)

rewrite230.0ms (2.6%)

simplify516.0ms (5.9%)

eval671.0ms (7.6%)

prune165.0ms (1.9%)

localize139.0ms (1.6%)

series21.0ms (0.2%)

rewrite189.0ms (2.2%)

simplify281.0ms (3.2%)

eval194.0ms (2.2%)

prune99.0ms (1.1%)

localize138.0ms (1.6%)

series18.0ms (0.2%)

rewrite177.0ms (2%)

simplify220.0ms (2.5%)

eval189.0ms (2.2%)

prune92.0ms (1.1%)

localize57.0ms (0.6%)

series8.0ms (0.1%)

rewrite102.0ms (1.2%)

simplify114.0ms (1.3%)

eval92.0ms (1%)

prune54.0ms (0.6%)

regimes160.0ms (1.8%)

regimes71.0ms (0.8%)

regimes27.0ms (0.3%)

regimes24.0ms (0.3%)

regimes21.0ms (0.2%)

regimes18.0ms (0.2%)

regimes46.0ms (0.5%)

regimes94.0ms (1.1%)

regimes32.0ms (0.4%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch49.0ms (0.6%)

bsearch39.0ms (0.4%)

bsearch37.0ms (0.4%)

bsearch57.0ms (0.6%)

bsearch173.0ms (2%)

bsearch17.0ms (0.2%)

bsearch127.0ms (1.4%)

bsearch46.0ms (0.5%)

simplify22.0ms (0.3%)

soundness1.8s (20.5%)

end258.0ms (2.9%)

Profiling