Details

analyze141.0ms (1.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	87.3%	0.2%	12.5%	0%	0%	4
0%	0%	87.3%	0.2%	12.5%	0%	0%	5
0%	0%	81.1%	0.2%	18.7%	0%	0%	6
0%	0%	31.2%	0.2%	28.1%	40.5%	0%	7
0%	0%	31.2%	0.2%	28.1%	40.5%	0%	8
0%	0%	31.2%	0.2%	28.1%	40.5%	0%	9
0%	0%	28.1%	0.2%	31.2%	40.5%	0%	10
8.8%	2.3%	24.2%	0.2%	31.2%	42.1%	0%	11
13.2%	3.5%	23%	0.2%	31.2%	42.1%	0%	12

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample3.6s (26.5%)

Results

2.2s	6664×	body	256	valid
590.0ms	696×	body	1024	valid
459.0ms	872×	body	512	valid
131.0ms	507×	body	256	invalid
111.0ms	24×	body	2048	valid
7.0ms	45×	body	256	infinite

Bogosity

preprocess6.0ms (0%)

Algorithm

2×	egg-herbie

Rules

42×	`rational.json-simplify-1`
28×	`rational.json-simplify-48`
24×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	273
1	79	273
2	100	273
3	107	273
0	4	4

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

Inputs
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 y (log.f64 x)) (.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (+.f64 (.f64 z (log.f64 y)) (.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 t (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (+.f64 (.f64 x (log.f64 z)) (.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (+.f64 (.f64 x (log.f64 t)) (.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 t (log.f64 (-.f64 1 y)))) z)

Outputs
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(+.f64 (.f64 z (log.f64 (-.f64 1 y))) (-.f64 (.f64 x (log.f64 y)) t))
(+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 z (log.f64 (-.f64 1 y))) t))
(-.f64 (+.f64 (.f64 y (log.f64 x)) (.f64 z (log.f64 (-.f64 1 x)))) t)
(+.f64 (.f64 z (log.f64 (-.f64 1 x))) (-.f64 (.f64 y (log.f64 x)) t))
(+.f64 (.f64 y (log.f64 x)) (-.f64 (.f64 z (log.f64 (-.f64 1 x))) t))
(-.f64 (+.f64 (.f64 z (log.f64 y)) (.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) z) (.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 t (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) x)
(+.f64 (.f64 z (log.f64 (-.f64 1 y))) (-.f64 (.f64 (log.f64 y) t) x))
(-.f64 (+.f64 (.f64 x (log.f64 z)) (.f64 y (log.f64 (-.f64 1 z)))) t)
(+.f64 (.f64 y (log.f64 (-.f64 1 z))) (-.f64 (.f64 x (log.f64 z)) t))
(-.f64 (+.f64 (.f64 x (log.f64 t)) (.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 t (log.f64 (-.f64 1 y)))) z)
(+.f64 (.f64 (log.f64 (-.f64 1 y)) t) (-.f64 (.f64 x (log.f64 y)) z))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`rational.json-simplify-1`
4×	`rational.json-simplify-48`
4×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	39
1	20	39
2	23	39
3	24	39

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)

Outputs

(-.f64 (+.f64 (*.f64 x (log.f64 y)) (*.f64 z (log.f64 (-.f64 1 y)))) t)

(+.f64 (*.f64 z (log.f64 (-.f64 1 y))) (-.f64 (*.f64 x (log.f64 y)) t))

(+.f64 (*.f64 x (log.f64 y)) (-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t))

eval1.0ms (0%)

Compiler: Compiled 43 to 24 computations (44.2% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	1	3
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	2	4

Error

9.1b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.1b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)

Compiler

Compiled 17 to 12 computations (29.4% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
✓	0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
✓	0.3b	(*.f64 x (log.f64 y))
✓	6.4b	(log.f64 (-.f64 1 y))

Compiler

Compiled 52 to 27 computations (48.1% saved)

series102.0ms (0.8%)

Counts

4 → 84

Calls

24 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(*.f64 x (log.f64 y))
27.0ms	z	@	0	(*.f64 z (log.f64 (-.f64 1 y)))
11.0ms	y	@	0	(*.f64 x (log.f64 y))
9.0ms	y	@	-inf	(*.f64 x (log.f64 y))
8.0ms	y	@	0	(*.f64 z (log.f64 (-.f64 1 y)))

rewrite100.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`bool.json-1`
1632×	`bool.json-2`
1586×	`rational.json-1`
1586×	`rational.json-2`
1024×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	72
1	132	72
2	344	72
3	679	72
4	1375	72
5	3053	72
6	6343	72

Stop Event

1×	node limit

Counts

4 → 61

Calls

Call 1

Inputs
(log.f64 (-.f64 1 y))
(*.f64 x (log.f64 y))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (-.f64 1 y)) 1/2) (.f64 (log.f64 (-.f64 1 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (log.f64 (-.f64 1 y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (log.f64 (-.f64 1 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (-.f64 1 y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (-.f64 1 y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (-.f64 1 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (-.f64 1 y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log.f64 (-.f64 1 y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (-.f64 1 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (-.f64 1 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (-.f64 1 y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (-.f64 1 y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (-.f64 1 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 y)) 8)) (.f64 2 (*.f64 (log.f64 (-.f64 1 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f64 (-.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f64 (-.f64 1 y)) (log.f64 (-.f64 1 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (-.f64 1 y)) (log.f64 (-.f64 1 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (log.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 (log.f64 y) (/.f64 x 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (log.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 (log.f64 y) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 x (log.f64 y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 x (log.f64 y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 x (log.f64 y)) 8)) (.f64 2 (.f64 (.f64 x (log.f64 y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 x (log.f64 y)) (.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 x (log.f64 y)) (*.f64 x (log.f64 y)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (-.f64 1 y)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (log.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2)) (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (log.f64 (-.f64 1 y)) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (-.f64 1 y)) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (-.f64 1 y)) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (-.f64 1 y)) (.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (log.f64 (-.f64 1 y)) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (log.f64 (-.f64 1 y)) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (.f64 (log.f64 (-.f64 1 y)) z) 8)) (.f64 2 (.f64 (.f64 (log.f64 (-.f64 1 y)) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (log.f64 (-.f64 1 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (log.f64 (-.f64 1 y)) z) (.f64 (log.f64 (-.f64 1 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (log.f64 (-.f64 1 y)) z) (*.f64 (log.f64 (-.f64 1 y)) z))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2)) (.f64 (log.f64 y) (/.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (log.f64 (-.f64 1 y)) (+.f64 z z)) (.f64 (log.f64 y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (log.f64 y) (+.f64 x x)) (.f64 (log.f64 (-.f64 1 y)) (+.f64 z z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 8)) (.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)))))))

simplify306.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

2060×	`rational.json-simplify-41`
1638×	`rational.json-simplify-35`
1186×	`rational.json-simplify-46`
1092×	`rational.json-simplify-51`
892×	`rational.json-simplify-2`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	213	4417
1	470	4273
2	1109	4273
3	2204	4219
4	4033	4219
5	4525	4219
6	5000	4219
7	5441	4211
8	5959	4211

Stop Event

1×	node limit

Counts

145 → 224

Calls

Call 1

Inputs
(*.f64 -1 y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1 y))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (log.f64 y) x) (.f64 -1/3 (*.f64 (pow.f64 y 3) z)))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))))))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)))
(+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (.f64 -1 (/.f64 z y)))))
(+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (+.f64 (.f64 -1 (/.f64 z y)) (*.f64 -1/3 (/.f64 z (pow.f64 y 3)))))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(+.f64 (log.f64 (-.f64 1 y)) 0)
(+.f64 0 (log.f64 (-.f64 1 y)))
(+.f64 (.f64 (log.f64 (-.f64 1 y)) 1/2) (.f64 (log.f64 (-.f64 1 y)) 1/2))
(-.f64 (log.f64 (-.f64 1 y)) 0)
(*.f64 1 (log.f64 (-.f64 1 y)))
(*.f64 (log.f64 (-.f64 1 y)) 1)
(.f64 2 (.f64 (log.f64 (-.f64 1 y)) 1/2))
(*.f64 4 (/.f64 (log.f64 (-.f64 1 y)) 4))
(.f64 (.f64 (log.f64 (-.f64 1 y)) 2) 1/2)
(.f64 (.f64 (log.f64 (-.f64 1 y)) 4) 1/4)
(.f64 1/2 (.f64 (log.f64 (-.f64 1 y)) 2))
(.f64 (.f64 (log.f64 (-.f64 1 y)) 1/2) 2)
(.f64 1/4 (.f64 (log.f64 (-.f64 1 y)) 4))
(*.f64 (/.f64 (log.f64 (-.f64 1 y)) 4) 4)
(/.f64 (log.f64 (-.f64 1 y)) 1)
(/.f64 (*.f64 (log.f64 (-.f64 1 y)) 2) 2)
(/.f64 (*.f64 (log.f64 (-.f64 1 y)) 4) 4)
(/.f64 (*.f64 (log.f64 (-.f64 1 y)) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 y)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 y)) 8)) (.f64 2 (.f64 (log.f64 (-.f64 1 y)) 8))) 32)
(+.f64 (*.f64 x (log.f64 y)) 0)
(+.f64 0 (*.f64 x (log.f64 y)))
(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 (log.f64 y) (/.f64 x 2)))
(-.f64 (*.f64 x (log.f64 y)) 0)
(/.f64 (*.f64 x (log.f64 y)) 1)
(/.f64 (*.f64 (log.f64 y) (+.f64 x x)) 2)
(/.f64 (.f64 x (.f64 (log.f64 y) 4)) 4)
(/.f64 (.f64 (.f64 x (log.f64 y)) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 x (log.f64 y)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (log.f64 y)) 8)) (.f64 2 (.f64 (.f64 x (log.f64 y)) 8))) 32)
(+.f64 (*.f64 (log.f64 (-.f64 1 y)) z) 0)
(+.f64 0 (*.f64 (log.f64 (-.f64 1 y)) z))
(+.f64 (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2)) (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2)))
(-.f64 (*.f64 (log.f64 (-.f64 1 y)) z) 0)
(/.f64 (*.f64 (log.f64 (-.f64 1 y)) z) 1)
(/.f64 (*.f64 (log.f64 (-.f64 1 y)) (+.f64 z z)) 2)
(/.f64 (.f64 (log.f64 (-.f64 1 y)) (.f64 z 4)) 4)
(/.f64 (.f64 (.f64 (log.f64 (-.f64 1 y)) z) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (log.f64 (-.f64 1 y)) z) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (log.f64 (-.f64 1 y)) z) 8)) (.f64 2 (.f64 (.f64 (log.f64 (-.f64 1 y)) z) 8))) 32)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 0)
(.f64 1 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)))
(.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 1)
(.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 1/2))
(.f64 2 (+.f64 (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2)) (.f64 (log.f64 y) (/.f64 x 2))))
(.f64 2 (+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2))))
(.f64 4 (/.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 4))
(.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 2) 1/2)
(.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 2))
(.f64 1/2 (+.f64 (.f64 (log.f64 (-.f64 1 y)) (+.f64 z z)) (*.f64 (log.f64 y) (+.f64 x x))))
(.f64 1/2 (+.f64 (.f64 (log.f64 y) (+.f64 x x)) (*.f64 (log.f64 (-.f64 1 y)) (+.f64 z z))))
(.f64 1/4 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 4))
(.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 4) 4)
(/.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 1)
(/.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 8)) (.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 8))) 32)

Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y))
(+.f64 (.f64 -1 y) (.f64 -1/2 (pow.f64 y 2)))
(+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1 y) (*.f64 -1/3 (pow.f64 y 3))))
(+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2))))
(+.f64 (neg.f64 y) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1 y))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1 y) (.f64 -1/4 (pow.f64 y 4)))))
(+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (*.f64 -1/4 (pow.f64 y 4))))
(+.f64 (neg.f64 y) (+.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3))) (*.f64 -1/4 (pow.f64 y 4))))
(+.f64 (neg.f64 y) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3)))))
(+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))))
(+.f64 (neg.f64 y) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 y))) (-.f64 (log.f64 -1) (/.f64 1 y)))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 1 y))) (/.f64 1 y)))
(+.f64 (log.f64 -1) (-.f64 (/.f64 -1 y) (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2))))))
(-.f64 (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 y))) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 y))) (-.f64 (log.f64 -1) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 1 y))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (log.f64 (/.f64 1 y))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (.f64 1/3 (/.f64 1 (pow.f64 y 3)))))))
(*.f64 -1 (log.f64 (/.f64 -1 y)))
(neg.f64 (log.f64 (/.f64 -1 y)))
(-.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (/.f64 1 y))
(-.f64 (neg.f64 (/.f64 1 y)) (log.f64 (/.f64 -1 y)))
(-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 y)))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (*.f64 1/2 (/.f64 1 (pow.f64 y 2)))))
(-.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (*.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (/.f64 1 y) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (+.f64 (.f64 1/2 (/.f64 1 (pow.f64 y 2))) (+.f64 (/.f64 1 y) (.f64 1/3 (/.f64 1 (pow.f64 y 3))))))
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (log.f64 (/.f64 1 y)) (.f64 x -1))
(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (log.f64 (/.f64 1 y)) (.f64 x -1))
(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (log.f64 (/.f64 1 y)) (.f64 x -1))
(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (log.f64 (/.f64 1 y)) (.f64 x -1))
(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 x (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 -1 y)))))
(*.f64 x (+.f64 (log.f64 -1) (neg.f64 (log.f64 (/.f64 -1 y)))))
(.f64 -1 (.f64 y z))
(*.f64 z (neg.f64 y))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 y (neg.f64 z)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
(.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 (pow.f64 y 3) (.f64 z -1/3)) (.f64 -1/2 (.f64 (pow.f64 y 2) z))))
(+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (pow.f64 y 3) (*.f64 -1/3 z))))
(+.f64 (.f64 y (neg.f64 z)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (pow.f64 y 3) (*.f64 -1/3 z))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
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(+.f64 (.f64 (log.f64 (-.f64 1 y)) 1/2) (.f64 (log.f64 (-.f64 1 y)) 1/2))
(log.f64 (-.f64 1 y))
(-.f64 (log.f64 (-.f64 1 y)) 0)
(log.f64 (-.f64 1 y))
(*.f64 1 (log.f64 (-.f64 1 y)))
(log.f64 (-.f64 1 y))
(*.f64 (log.f64 (-.f64 1 y)) 1)
(log.f64 (-.f64 1 y))
(.f64 2 (.f64 (log.f64 (-.f64 1 y)) 1/2))
(log.f64 (-.f64 1 y))
(*.f64 4 (/.f64 (log.f64 (-.f64 1 y)) 4))
(log.f64 (-.f64 1 y))
(.f64 (.f64 (log.f64 (-.f64 1 y)) 2) 1/2)
(log.f64 (-.f64 1 y))
(.f64 (.f64 (log.f64 (-.f64 1 y)) 4) 1/4)
(log.f64 (-.f64 1 y))
(.f64 1/2 (.f64 (log.f64 (-.f64 1 y)) 2))
(log.f64 (-.f64 1 y))
(.f64 (.f64 (log.f64 (-.f64 1 y)) 1/2) 2)
(log.f64 (-.f64 1 y))
(.f64 1/4 (.f64 (log.f64 (-.f64 1 y)) 4))
(log.f64 (-.f64 1 y))
(*.f64 (/.f64 (log.f64 (-.f64 1 y)) 4) 4)
(log.f64 (-.f64 1 y))
(/.f64 (log.f64 (-.f64 1 y)) 1)
(log.f64 (-.f64 1 y))
(/.f64 (*.f64 (log.f64 (-.f64 1 y)) 2) 2)
(log.f64 (-.f64 1 y))
(/.f64 (*.f64 (log.f64 (-.f64 1 y)) 4) 4)
(log.f64 (-.f64 1 y))
(/.f64 (*.f64 (log.f64 (-.f64 1 y)) 8) 8)
(log.f64 (-.f64 1 y))
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 y)) 8)) 16)
(log.f64 (-.f64 1 y))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (-.f64 1 y)) 8)) (.f64 2 (.f64 (log.f64 (-.f64 1 y)) 8))) 32)
(log.f64 (-.f64 1 y))
(+.f64 (*.f64 x (log.f64 y)) 0)
(*.f64 (log.f64 y) x)
(+.f64 0 (*.f64 x (log.f64 y)))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 (log.f64 y) (/.f64 x 2)))
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 x (log.f64 y)) 0)
(*.f64 (log.f64 y) x)
(/.f64 (*.f64 x (log.f64 y)) 1)
(*.f64 (log.f64 y) x)
(/.f64 (*.f64 (log.f64 y) (+.f64 x x)) 2)
(*.f64 (log.f64 y) x)
(/.f64 (.f64 x (.f64 (log.f64 y) 4)) 4)
(*.f64 (log.f64 y) x)
(/.f64 (.f64 (.f64 x (log.f64 y)) 8) 8)
(*.f64 (log.f64 y) x)
(/.f64 (.f64 2 (.f64 (*.f64 x (log.f64 y)) 8)) 16)
(*.f64 (log.f64 y) x)
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 x (log.f64 y)) 8)) (.f64 2 (.f64 (.f64 x (log.f64 y)) 8))) 32)
(*.f64 (log.f64 y) x)
(+.f64 (*.f64 (log.f64 (-.f64 1 y)) z) 0)
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 0 (*.f64 (log.f64 (-.f64 1 y)) z))
(*.f64 z (log.f64 (-.f64 1 y)))
(+.f64 (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2)) (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2)))
(*.f64 z (log.f64 (-.f64 1 y)))
(-.f64 (*.f64 (log.f64 (-.f64 1 y)) z) 0)
(*.f64 z (log.f64 (-.f64 1 y)))
(/.f64 (*.f64 (log.f64 (-.f64 1 y)) z) 1)
(*.f64 z (log.f64 (-.f64 1 y)))
(/.f64 (*.f64 (log.f64 (-.f64 1 y)) (+.f64 z z)) 2)
(*.f64 z (log.f64 (-.f64 1 y)))
(/.f64 (.f64 (log.f64 (-.f64 1 y)) (.f64 z 4)) 4)
(*.f64 z (log.f64 (-.f64 1 y)))
(/.f64 (.f64 (.f64 (log.f64 (-.f64 1 y)) z) 8) 8)
(*.f64 z (log.f64 (-.f64 1 y)))
(/.f64 (.f64 2 (.f64 (*.f64 (log.f64 (-.f64 1 y)) z) 8)) 16)
(*.f64 z (log.f64 (-.f64 1 y)))
(/.f64 (+.f64 (.f64 2 (.f64 (.f64 (log.f64 (-.f64 1 y)) z) 8)) (.f64 2 (.f64 (.f64 (log.f64 (-.f64 1 y)) z) 8))) 32)
(*.f64 z (log.f64 (-.f64 1 y)))
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 0)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 1 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 1)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 1/2))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 2 (+.f64 (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2)) (.f64 (log.f64 y) (/.f64 x 2))))
(.f64 2 (+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 (log.f64 (-.f64 1 y)) (.f64 1/2 z))))
(.f64 2 (+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 1/2 (.f64 z (log.f64 (-.f64 1 y))))))
(.f64 2 (+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 z (.f64 1/2 (log.f64 (-.f64 1 y))))))
(.f64 2 (+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 (log.f64 (-.f64 1 y)) (.f64 z 1/2))))
(.f64 2 (+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 (log.f64 (-.f64 1 y)) (.f64 1/2 z))))
(.f64 2 (+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 1/2 (.f64 z (log.f64 (-.f64 1 y))))))
(.f64 2 (+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (.f64 z (.f64 1/2 (log.f64 (-.f64 1 y))))))
(.f64 4 (/.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 4))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 2) 1/2)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 4) 1/4)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 1/2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 2))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 1/2 (+.f64 (.f64 (log.f64 (-.f64 1 y)) (+.f64 z z)) (*.f64 (log.f64 y) (+.f64 x x))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 1/2 (+.f64 (.f64 (log.f64 y) (+.f64 x x)) (*.f64 (log.f64 (-.f64 1 y)) (+.f64 z z))))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 1/4 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 4))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 1/2) 2)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(.f64 (/.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 4) 4)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(/.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 1)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(/.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 2) 2)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(/.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 4) 4)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(/.f64 (.f64 (+.f64 (.f64 x (log.f64 y)) (*.f64 (log.f64 (-.f64 1 y)) z)) 8) 8)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 8)) 16)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 8)) (.f64 2 (.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 (log.f64 (-.f64 1 y)) z)) 8))) 32)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))

eval226.0ms (1.7%)

Compiler: Compiled 5350 to 3312 computations (38.1% saved)

prune116.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	218	6	224
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	219	6	225

Error

0.1b

Counts

225 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(-.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) t)
▶	0.2b	(-.f64 (+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x))) t)
▶	0.5b	(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
▶	0.1b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))) t)
	0.2b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))))) t)
▶	36.9b	(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)

Compiler

Compiled 262 to 190 computations (27.5% saved)

localize262.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))
✓	0.0b	(.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))
✓	0.1b	(*.f64 -1/3 (pow.f64 y 3))
	0.3b	(*.f64 x (log.f64 y))

Compiler

Compiled 163 to 111 computations (31.9% saved)

series5.0ms (0%)

Counts

3 → 30

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	z	@	0	(.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))
0.0ms	y	@	0	(*.f64 -1/3 (pow.f64 y 3))
0.0ms	z	@	inf	(.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))
0.0ms	y	@	inf	(.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))
0.0ms	z	@	-inf	(.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))

rewrite87.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`bool.json-1`
1504×	`bool.json-2`
1452×	`rational.json-1`
1452×	`rational.json-2`
1452×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	109
1	216	109
2	508	109
3	1042	109
4	2426	109
5	5474	109

Stop Event

1×	node limit

Counts

3 → 32

Calls

Call 1

Inputs
(*.f64 -1/3 (pow.f64 y 3))
(.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))
(+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))

Inputs

(*.f64 -1/3 (pow.f64 y 3))

(*.f64 z (+.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))

(+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 -1/3 (pow.f64 y 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (pow.f64 y 3) -1/6) (.f64 (pow.f64 y 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 -1/3 (pow.f64 y 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1/3 (pow.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 y 3) -2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 y 3) -4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (pow.f64 y 3) -4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 3) -4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 -1/3 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/3 (pow.f64 y 3)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 z (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4))))) 1/2)) (.f64 z (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4))))) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 z (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 z (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 z (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4))))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))) (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))) (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 y 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 3) -1/6) (*.f64 (pow.f64 y 3) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/3 (pow.f64 y 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (pow.f64 y 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 3) -2/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 3) -4/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 y 3) -4/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 3) -4/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 -1/3 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/3 (pow.f64 y 3)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4))))) 1/2)) (*.f64 z (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4))))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4))))) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (*.f64 4 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4))))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z (*.f64 4 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4)))))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 z (*.f64 4 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4))))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4)))))) (*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4)))))) (*.f64 z (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4)))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 4 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 4 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))))))))

simplify353.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

4310×	`rational.json-simplify-51`
2242×	`rational.json-simplify-35`
1950×	`rational.json-simplify-2`
1422×	`rational.json-simplify-53`
1318×	`rational.json-simplify-1`

Iterations

Useful iterations: 15 (0.0ms)

Iter	Nodes	Cost
0	108	2516
1	247	2510
2	532	2510
3	1203	2470
4	3007	2466
5	4343	2466
6	4540	2466
7	4669	2466
8	4793	2466
9	4913	2466
10	5029	2466
11	6186	2466
12	6317	2466
13	6321	2466
14	6321	2466
15	6438	2448

Stop Event

1×	node limit

Counts

62 → 74

Calls

Call 1

Inputs
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(.f64 -1/4 (.f64 (pow.f64 y 4) z))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(.f64 -1/4 (.f64 (pow.f64 y 4) z))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(*.f64 -1/3 (pow.f64 y 3))
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(*.f64 -1/4 (pow.f64 y 4))
(*.f64 -1/4 (pow.f64 y 4))
(+.f64 (*.f64 -1/3 (pow.f64 y 3)) 0)
(+.f64 0 (*.f64 -1/3 (pow.f64 y 3)))
(+.f64 (.f64 (pow.f64 y 3) -1/6) (.f64 (pow.f64 y 3) -1/6))
(-.f64 (*.f64 -1/3 (pow.f64 y 3)) 0)
(/.f64 (*.f64 -1/3 (pow.f64 y 3)) 1)
(/.f64 (*.f64 (pow.f64 y 3) -2/3) 2)
(/.f64 (*.f64 (pow.f64 y 3) -4/3) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 y 3) -4/3)) 8)
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 y 3) -4/3))) 16)
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(.f64 4 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) 4))
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Outputs
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(+.f64 (.f64 -1/3 (.f64 (pow.f64 y 3) z)) (.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/4 (pow.f64 y 4)))))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/4 (pow.f64 y 4)))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))))
(.f64 z (+.f64 (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3))) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y)))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(*.f64 -1/3 (pow.f64 y 3))
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(*.f64 -1/4 (pow.f64 y 4))
(*.f64 -1/4 (pow.f64 y 4))
(+.f64 (*.f64 -1/3 (pow.f64 y 3)) 0)
(*.f64 -1/3 (pow.f64 y 3))
(+.f64 0 (*.f64 -1/3 (pow.f64 y 3)))
(*.f64 -1/3 (pow.f64 y 3))
(+.f64 (.f64 (pow.f64 y 3) -1/6) (.f64 (pow.f64 y 3) -1/6))
(*.f64 -1/3 (pow.f64 y 3))
(-.f64 (*.f64 -1/3 (pow.f64 y 3)) 0)
(*.f64 -1/3 (pow.f64 y 3))
(/.f64 (*.f64 -1/3 (pow.f64 y 3)) 1)
(*.f64 -1/3 (pow.f64 y 3))
(/.f64 (*.f64 (pow.f64 y 3) -2/3) 2)
(*.f64 -1/3 (pow.f64 y 3))
(/.f64 (*.f64 (pow.f64 y 3) -4/3) 4)
(*.f64 -1/3 (pow.f64 y 3))
(/.f64 (.f64 2 (.f64 (pow.f64 y 3) -4/3)) 8)
(*.f64 -1/3 (pow.f64 y 3))
(/.f64 (.f64 2 (.f64 2 (*.f64 (pow.f64 y 3) -4/3))) 16)
(*.f64 -1/3 (pow.f64 y 3))
(+.f64 (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))) 0)
(.f64 z (+.f64 (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3))) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y)))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(+.f64 0 (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))))
(.f64 z (+.f64 (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3))) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y)))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(+.f64 (.f64 z (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4))))) 1/2)) (.f64 z (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4))))) 1/2)))
(.f64 z (+.f64 (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3))) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y)))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(-.f64 (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))) 0)
(.f64 z (+.f64 (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3))) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y)))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(/.f64 (.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))) 1)
(.f64 z (+.f64 (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3))) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y)))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(/.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4))))) (+.f64 z z)) 2)
(.f64 z (+.f64 (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3))) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y)))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(/.f64 (.f64 z (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4))))))) 4)
(.f64 z (+.f64 (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3))) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y)))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(/.f64 (.f64 2 (.f64 z (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (.f64 -1/4 (pow.f64 y 4)))))))) 8)
(.f64 z (+.f64 (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3))) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y)))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(/.f64 (.f64 2 (.f64 2 (.f64 z (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/4 (pow.f64 y 4))))))))) 16)
(.f64 z (+.f64 (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3))) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y)))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (+.f64 (.f64 -1/2 (pow.f64 y 2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y))))
(-.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) 0)
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 2 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) 1/2))
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 4 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) 4))
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4))))
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 (.f64 2 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))) 1/2)
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))) 1/4)
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) 1/2) 2)
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))) 1)
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (.f64 2 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))) 2)
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))) 4)
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (.f64 2 (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))))) 8)
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 4 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))) 16)
(+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))

localize76.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
	6.4b	(log.f64 (-.f64 1 y))

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
✓	0.0b	(+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x))
✓	0.3b	(*.f64 (log.f64 y) x)

Compiler

Compiled 40 to 10 computations (75% saved)

series7.0ms (0%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
1.0ms	y	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x))
0.0ms	z	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x))
0.0ms	z	@	inf	(+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x))
0.0ms	y	@	inf	(+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1334×	`bool.json-1`
1334×	`bool.json-2`
1296×	`rational.json-1`
1296×	`rational.json-2`
1296×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	71
1	131	71
2	351	71
3	777	71
4	1751	71
5	4237	71

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(*.f64 (log.f64 y) x)
(+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x))
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (*.f64 x 1/2)) (*.f64 (log.f64 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 y) (*.f64 x 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 y) (*.f64 x 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 y) (*.f64 x 4)))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 y) (*.f64 x 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (neg.f64 z)) (-.f64 (*.f64 (log.f64 y) x) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 (log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (+.f64 (*.f64 (log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 (*.f64 y (neg.f64 z)) (+.f64 t -1)) (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 y (neg.f64 z)) t) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) t) (*.f64 y 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(log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t)) (+.f64 (*.f64 (log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t)))))))

simplify317.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2036×	`rational.json-simplify-35`
1210×	`rational.json-simplify-2`
962×	`rational.json-simplify-1`
900×	`rational.json-simplify-52`
852×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	145	4355
1	306	4303
2	761	4303
3	1824	4291
4	3590	4291
5	4973	4291
6	6155	4291
7	7064	4291
8	7664	4291

Stop Event

1×	node limit

Counts

155 → 111

Calls

Call 1

Inputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z)))
(+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z)))
(.f64 -1 (.f64 y z))
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(+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z)))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(.f64 -1 (.f64 y z))
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(.f64 -1 (.f64 y z))
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(.f64 -1 (.f64 y z))
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(*.f64 (log.f64 y) x)
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(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
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(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(.f64 -1 (.f64 y z))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))) t)
(.f64 -1 (.f64 y z))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(.f64 -1 (.f64 y z))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) t)
(.f64 -1 (.f64 y z))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 y z))) t)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 y z))) t)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 y z))) t)
(-.f64 (.f64 -1 (.f64 y z)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 y z))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 y z))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 y z))))
(*.f64 -1 t)
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(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 y z))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 y z))))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 y z))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 y z))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 y z))))
(+.f64 (*.f64 (log.f64 y) x) 0)
(+.f64 0 (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) (.f64 x 1/2)) (.f64 (log.f64 y) (.f64 x 1/2)))
(-.f64 (*.f64 (log.f64 y) x) 0)
(/.f64 (*.f64 (log.f64 y) x) 1)
(/.f64 (*.f64 (log.f64 y) (+.f64 x x)) 2)
(/.f64 (.f64 (log.f64 y) (.f64 x 4)) 4)
(/.f64 (.f64 2 (.f64 (log.f64 y) (*.f64 x 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (log.f64 y) (.f64 x 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 y) (.f64 x 4)))) (.f64 2 (.f64 2 (.f64 (log.f64 y) (.f64 x 4))))) 32)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 0)
(.f64 (+.f64 (.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 1)
(.f64 1 (+.f64 (.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))))
(.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 1/2))
(.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 2) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4))
(.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 2))
(.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 4))
(.f64 (/.f64 (+.f64 (.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4) 4)
(/.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 1)
(/.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 2) 2)
(/.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))) 4)))) 32)
(+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t))
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(+.f64 (+.f64 1 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t))) -1)
(+.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 1/2) (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 1/2))
(.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t)) 1)
(.f64 1 (+.f64 (.f64 (log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t)))
(.f64 -1 (-.f64 t (+.f64 (.f64 (log.f64 y) x) (*.f64 y (neg.f64 z)))))
(.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 1/2))
(.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 2) 1/2)
(.f64 (-.f64 t (+.f64 (.f64 (log.f64 y) x) (*.f64 y (neg.f64 z)))) -1)
(.f64 4 (/.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t)) 4))
(.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 4) 1/4)
(.f64 1/2 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 2))
(.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 1/2) 2)
(.f64 1/4 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 4))
(.f64 (/.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t)) 4) 4)
(/.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 1)
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(/.f64 (-.f64 t (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z)))) -1)
(/.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (*.f64 y (neg.f64 z)) t)) 4) 4)
(/.f64 (.f64 2 (-.f64 t (+.f64 (.f64 (log.f64 y) x) (*.f64 y (neg.f64 z))))) -2)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (-.f64 t (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z)))))) -4)
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(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 y (neg.f64 z)) t)) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 t (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z)))))) (neg.f64 (.f64 2 (-.f64 t (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z))))))) 4)
(neg.f64 (-.f64 t (+.f64 (.f64 (log.f64 y) x) (.f64 y (neg.f64 z)))))

Outputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
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(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
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(.f64 -1 (.f64 y z))
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(*.f64 (log.f64 y) x)
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(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
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(.f64 -1 (+.f64 (.f64 y z) (*.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 -1 (+.f64 (.f64 (log.f64 (/.f64 1 y)) x) (*.f64 y z)))
(neg.f64 (+.f64 (.f64 (log.f64 (/.f64 1 y)) x) (.f64 y z)))
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(.f64 -1 (+.f64 (.f64 y z) (*.f64 (log.f64 (/.f64 1 y)) x)))
(.f64 -1 (+.f64 (.f64 (log.f64 (/.f64 1 y)) x) (*.f64 y z)))
(neg.f64 (+.f64 (.f64 (log.f64 (/.f64 1 y)) x) (.f64 y z)))
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(.f64 -1 (+.f64 (.f64 (log.f64 (/.f64 1 y)) x) (*.f64 y z)))
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(.f64 -1 (.f64 y z))
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(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
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(*.f64 (log.f64 y) x)
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(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
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(-.f64 (*.f64 (log.f64 y) x) t)
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(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
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(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 y (neg.f64 z))) t)
(+.f64 (.f64 x (log.f64 y)) (-.f64 (neg.f64 t) (.f64 y z)))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
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(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 y (neg.f64 z))) t)
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(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 x (log.f64 y)) (-.f64 (.f64 y (neg.f64 z)) t))
(+.f64 (.f64 x (log.f64 y)) (-.f64 (neg.f64 (.f64 y z)) t))
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 y (neg.f64 z))) t)
(+.f64 (.f64 x (log.f64 y)) (-.f64 (neg.f64 t) (.f64 y z)))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(neg.f64 (*.f64 y z))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))) t)
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(.f64 -1 (.f64 y z))
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localize105.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) t)
✓	0.0b	(+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x))
✓	0.0b	(.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))
	0.3b	(*.f64 (log.f64 y) x)

Compiler

Compiled 76 to 41 computations (46.1% saved)

series6.0ms (0%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))
0.0ms	z	@	0	(.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))
0.0ms	z	@	inf	(+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x))
0.0ms	x	@	0	(+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x))
0.0ms	y	@	0	(.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))

rewrite146.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1340×	`rational.json-simplify-35`
1234×	`bool.json-1`
1234×	`bool.json-2`
1194×	`rational.json-1`
1194×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	125
1	178	125
2	438	125
3	908	125
4	2029	125
5	4434	125
6	7581	125

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

Inputs

(*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))))

(+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x))

(-.f64 (+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) t)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (-.f64 (*.f64 (log.f64 y) x) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (-.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (-.f64 (*.f64 (log.f64 y) x) t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (-.f64 (*.f64 (log.f64 y) x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 (log.f64 y) x) (+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (-.f64 1 t))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) t) 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(*.f64 (log.f64 y) x) t))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (-.f64 (*.f64 (log.f64 y) x) t)) (+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (-.f64 (*.f64 (log.f64 y) x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (-.f64 (*.f64 (log.f64 y) x) t)) (+.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (-.f64 (*.f64 (log.f64 y) x) t)))))))

simplify558.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

1954×	`rational.json-simplify-2`
1944×	`rational.json-simplify-1`
1896×	`rational.json-simplify-35`
772×	`rational.json-simplify-41`
724×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	7328
1	341	7132
2	714	7132
3	1640	6642
4	3557	6642
5	4432	6642
6	5193	6642
7	5803	6642
8	6526	6642
9	6817	6642
10	7822	6642

Stop Event

1×	node limit

Counts

168 → 119

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
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(*.f64 (log.f64 y) x)
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(+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
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(+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))
(*.f64 (log.f64 y) x)
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(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
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(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 y z))))
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))
(*.f64 (log.f64 y) x)
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(+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))
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(*.f64 (log.f64 y) x)
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(*.f64 (log.f64 y) x)
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(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)))
(*.f64 -1 t)
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(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)))
(*.f64 -1 t)
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(.f64 1/2 (.f64 2 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x))))
(.f64 (.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) 1/2) 2)
(/.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) 1)
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(.f64 -1 (-.f64 t (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (.f64 (log.f64 y) x))))
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(.f64 (-.f64 t (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (.f64 (log.f64 y) x))) -1)
(.f64 4 (/.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (-.f64 (.f64 (log.f64 y) x) t)) 4))
(.f64 (.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (-.f64 (*.f64 (log.f64 y) x) t)) 4) 1/4)
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(.f64 1/2 (-.f64 (.f64 2 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x))) (+.f64 t t)))
(.f64 (.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (-.f64 (*.f64 (log.f64 y) x) t)) 1/2) 2)
(/.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (-.f64 (*.f64 (log.f64 y) x) t)) 1)
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(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (-.f64 (.f64 (log.f64 y) x) t)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (-.f64 (.f64 (log.f64 y) x) t)) 4)))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 t (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (.f64 (log.f64 y) x))))) (neg.f64 (.f64 2 (-.f64 t (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (.f64 (log.f64 y) x)))))) 4)
(neg.f64 (-.f64 t (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x))))

Outputs
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(.f64 -1 (.f64 y z))
(.f64 y (.f64 z -1))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
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(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
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(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
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(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
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(+.f64 (+.f64 (.f64 y (.f64 z -1)) (.f64 (log.f64 y) x)) (-.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) z)) t))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y (neg.f64 z)) (-.f64 (.f64 (log.f64 y) x) t)))
(+.f64 (.f64 y (neg.f64 z)) (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) t)))
(+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y))) t))
(neg.f64 (-.f64 t (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x))))
(+.f64 (+.f64 (.f64 y (.f64 z -1)) (.f64 (log.f64 y) x)) (-.f64 (.f64 -1/2 (*.f64 (pow.f64 y 2) z)) t))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y (neg.f64 z)) (-.f64 (.f64 (log.f64 y) x) t)))
(+.f64 (.f64 y (neg.f64 z)) (+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) t)))
(+.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 z (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y))) t))

localize99.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -1/2 (.f64 (pow.f64 y 2) z))
✓	0.0b	(+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x)))
	0.3b	(*.f64 (log.f64 y) x)
✓	6.3b	(*.f64 (pow.f64 y 2) z)

Compiler

Compiled 85 to 41 computations (51.8% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x)))
0.0ms	y	@	0	(*.f64 (pow.f64 y 2) z)
0.0ms	x	@	0	(+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x)))
0.0ms	z	@	-inf	(+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x)))
0.0ms	y	@	inf	(*.f64 (pow.f64 y 2) z)

rewrite111.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2040×	`bool.json-1`
1248×	`rational.json-simplify-35`
1238×	`bool.json-2`
1198×	`rational.json-1`
1198×	`rational.json-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	83
1	172	83
2	438	77
3	924	77
4	2047	77
5	4514	77
6	7648	77

Stop Event

1×	node limit

Counts

3 → 36

Calls

Call 1

Inputs
(*.f64 (pow.f64 y 2) z)
(+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 y 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) (*.f64 z 1/2)) (*.f64 (pow.f64 y 2) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 y 2) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) (+.f64 z z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z 4)))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 y 2) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 y 2) z) (*.f64 (pow.f64 y 2) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 y 2) z) (*.f64 (pow.f64 y 2) z))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) (+.f64 (*.f64 (log.f64 y) x) (*.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) (*.f64 z -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) (*.f64 z -1/4)) (*.f64 (pow.f64 y 2) (*.f64 z -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (pow.f64 y 2) (*.f64 z -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) (*.f64 z -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) (neg.f64 z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) (*.f64 z -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z -2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z -2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z -2)))) (*.f64 2 (*.f64 2 (*.f64 (pow.f64 y 2) (*.f64 z -2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 y 2) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (pow.f64 y 2) (*.f64 z -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (pow.f64 y 2) (*.f64 z -1/2)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (pow.f64 y 2) (*.f64 z -1/2)) (*.f64 (pow.f64 y 2) (*.f64 z -1/2)))))))

simplify384.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

2154×	`rational.json-simplify-2`
1782×	`rational.json-simplify-1`
1738×	`rational.json-simplify-35`
1032×	`rational.json-simplify-48`
1020×	`rational.json-simplify-45`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	2440
1	277	2428
2	584	2408
3	1364	2408
4	2765	2408
5	3645	2408
6	4105	2408
7	4482	2408
8	4744	2408
9	4958	2408
10	4978	2408
11	5425	2408
12	6084	2408
13	7193	2408

Stop Event

1×	node limit

Counts

72 → 64

Calls

Call 1

Inputs
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y)) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y)) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y)) z))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(+.f64 (.f64 (log.f64 y) x) (.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y)) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y)) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y)) z))
(.f64 -1 (.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 (+.f64 y (.f64 1/2 (pow.f64 y 2))) z)))
(+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 (+.f64 y (.f64 1/2 (pow.f64 y 2))) z)))
(+.f64 (.f64 (log.f64 y) x) (.f64 -1 (.f64 (+.f64 y (.f64 1/2 (pow.f64 y 2))) z)))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 y z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 -1 (.f64 y z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 (log.f64 y) x) (.f64 -1 (*.f64 y z))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)))
(+.f64 (*.f64 (pow.f64 y 2) z) 0)
(+.f64 0 (*.f64 (pow.f64 y 2) z))
(+.f64 (.f64 (pow.f64 y 2) (.f64 z 1/2)) (.f64 (pow.f64 y 2) (.f64 z 1/2)))
(-.f64 (*.f64 (pow.f64 y 2) z) 0)
(/.f64 (*.f64 (pow.f64 y 2) z) 1)
(/.f64 (*.f64 (pow.f64 y 2) (+.f64 z z)) 2)
(/.f64 (.f64 (pow.f64 y 2) (.f64 z 4)) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 y 2) (*.f64 z 4))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 z 4)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 z 4)))) (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 z 4))))) 32)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 0)
(.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 1/2))
(.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 2) -1/2)))) 1)
(.f64 1 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 2) -1/2)))))
(.f64 (.f64 2 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2))))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 2) -1/2)))) 4))
(.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 4) 1/4)
(.f64 1/2 (.f64 2 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2))))))
(.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 1/2) 2)
(/.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 2) -1/2))))) 2)
(/.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 2) -1/2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (*.f64 (pow.f64 y 2) -1/2)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 2) -1/2)))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 2) -1/2)))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (+.f64 (neg.f64 y) (.f64 (pow.f64 y 2) -1/2)))) 4)))) 32)
(+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) 0)
(+.f64 0 (.f64 (pow.f64 y 2) (.f64 z -1/2)))
(+.f64 (.f64 (pow.f64 y 2) (.f64 z -1/4)) (.f64 (pow.f64 y 2) (.f64 z -1/4)))
(-.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) 0)
(/.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) 1)
(/.f64 (*.f64 (pow.f64 y 2) (neg.f64 z)) 2)
(/.f64 (.f64 (pow.f64 y 2) (.f64 z -2)) 4)
(/.f64 (.f64 2 (.f64 (pow.f64 y 2) (*.f64 z -2))) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 z -2)))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 z -2)))) (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 z -2))))) 32)
(neg.f64 (.f64 (pow.f64 y 2) (.f64 z 1/2)))

Outputs
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y)) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)) z))
(+.f64 (.f64 (log.f64 y) x) (.f64 (neg.f64 z) (+.f64 y (/.f64 (pow.f64 y 2) 2))))
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(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(/.f64 (.f64 (pow.f64 y 2) (.f64 z -1/2)) 1)
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(/.f64 (*.f64 (pow.f64 y 2) (neg.f64 z)) 2)
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(/.f64 (.f64 (pow.f64 y 2) (.f64 z -2)) 4)
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(/.f64 (.f64 2 (.f64 (pow.f64 y 2) (*.f64 z -2))) 8)
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(/.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 z -2)))) 16)
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 z -2)))) (.f64 2 (.f64 2 (.f64 (pow.f64 y 2) (.f64 z -2))))) 32)
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(neg.f64 (.f64 (pow.f64 y 2) (.f64 z 1/2)))
(.f64 (pow.f64 y 2) (.f64 -1/2 z))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))

eval383.0ms (2.9%)

Compiler: Compiled 11021 to 6371 computations (42.2% saved)

prune239.0ms (1.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	534	7	541
Fresh	1	0	1
Picked	1	0	1
Done	2	2	4
Total	538	9	547

Error

0.1b

Counts

547 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
▶	28.6b	(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z))) t)
▶	28.6b	(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t)
▶	9.9b	(-.f64 (*.f64 (log.f64 y) x) t)
	28.5b	(-.f64 (.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))))) t)
	28.5b	(-.f64 (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) t)
▶	28.9b	(-.f64 (*.f64 z (neg.f64 y)) t)
✓	36.9b	(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
▶	37.6b	(neg.f64 t)

Compiler

Compiled 245 to 183 computations (25.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (log.f64 y) x) t)
	0.3b	(*.f64 (log.f64 y) x)

Compiler

Compiled 19 to 7 computations (63.2% saved)

series1.0ms (0%)

Counts

1 → 32

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(-.f64 (*.f64 (log.f64 y) x) t)
0.0ms	y	@	-inf	(-.f64 (*.f64 (log.f64 y) x) t)
0.0ms	y	@	inf	(-.f64 (*.f64 (log.f64 y) x) t)
0.0ms	x	@	0	(-.f64 (*.f64 (log.f64 y) x) t)
0.0ms	t	@	inf	(-.f64 (*.f64 (log.f64 y) x) t)

rewrite108.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

2026×	`bool.json-1`
1464×	`rational.json-simplify-35`
1246×	`bool.json-2`
1204×	`rational.json-1`
1204×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	87	17
2	234	17
3	492	17
4	1014	17
5	2247	17
6	4715	17
7	7915	17

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(-.f64 (*.f64 (log.f64 y) x) t)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log.f64 y) x) t) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (*.f64 (log.f64 y) x) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (*.f64 (log.f64 y) x) t) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 t) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (*.f64 (log.f64 y) x) (-.f64 1 t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) x) (-.f64 1 t)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1/2) (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (*.f64 (log.f64 y) (/.f64 x 2)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 t) (+.f64 (*.f64 (log.f64 y) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (-.f64 (neg.f64 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (*.f64 (log.f64 y) x) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 t (*.f64 (log.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (*.f64 (log.f64 y) x) t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (*.f64 (log.f64 y) x) 4) (/.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 t (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (log.f64 y) (*.f64 x 4)) (*.f64 t 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (*.f64 (log.f64 y) x) t) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 t (*.f64 (log.f64 y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 t (*.f64 (log.f64 y) x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 t (*.f64 (log.f64 y) x)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 t (*.f64 (log.f64 y) x)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 t (*.f64 (log.f64 y) x)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (*.f64 (log.f64 y) x) t) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 t (*.f64 (log.f64 y) x)) 4)) (neg.f64 (*.f64 (-.f64 t (*.f64 (log.f64 y) x)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 t (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (*.f64 (log.f64 y) x) t)))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (*.f64 (log.f64 y) x) t) (-.f64 (*.f64 (log.f64 y) x) t))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (*.f64 (log.f64 y) x) t) (-.f64 (*.f64 (log.f64 y) x) t))))))

simplify438.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

2754×	`rational.json-simplify-35`
2066×	`rational.json-simplify-2`
1210×	`rational.json-simplify-1`
946×	`rational.json-simplify-52`
938×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	110	1597
1	235	1581
2	528	1353
3	1286	1353
4	2275	1353
5	3487	1353
6	4528	1353
7	5121	1353
8	6123	1353
9	6334	1353
10	6522	1353
11	6704	1353
12	7381	1353
13	7386	1353
14	7474	1353
15	7474	1353
16	7654	1353
17	7834	1353

Stop Event

1×	node limit

Counts

73 → 55

Calls

Call 1

Inputs
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 (log.f64 y) x) (neg.f64 t))
(+.f64 (-.f64 (*.f64 (log.f64 y) x) t) 0)
(+.f64 0 (-.f64 (*.f64 (log.f64 y) x) t))
(+.f64 1 (+.f64 (-.f64 (*.f64 (log.f64 y) x) t) -1))
(+.f64 (neg.f64 t) (*.f64 (log.f64 y) x))
(+.f64 -1 (+.f64 (*.f64 (log.f64 y) x) (-.f64 1 t)))
(+.f64 (+.f64 (*.f64 (log.f64 y) x) (-.f64 1 t)) -1)
(+.f64 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 1/2) (.f64 (-.f64 (.f64 (log.f64 y) x) t) 1/2))
(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
(+.f64 (-.f64 1 t) (+.f64 (*.f64 (log.f64 y) x) -1))
(+.f64 -2 (+.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2))
(+.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (-.f64 (neg.f64 t) 1))
(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2) -2)
(.f64 (-.f64 (.f64 (log.f64 y) x) t) 1)
(.f64 1 (-.f64 (.f64 (log.f64 y) x) t))
(.f64 2 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1/2))
(.f64 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2) 1/2)
(.f64 (-.f64 t (.f64 (log.f64 y) x)) -1)
(.f64 4 (/.f64 (-.f64 (.f64 (log.f64 y) x) t) 4))
(.f64 4 (-.f64 (/.f64 (.f64 (log.f64 y) x) 4) (/.f64 t 4)))
(.f64 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 4) 1/4)
(.f64 -1 (-.f64 t (.f64 (log.f64 y) x)))
(.f64 1/2 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2))
(.f64 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 4))
(.f64 1/4 (-.f64 (.f64 (log.f64 y) (.f64 x 4)) (.f64 t 4)))
(.f64 (/.f64 (-.f64 (.f64 (log.f64 y) x) t) 4) 4)
(/.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1)
(/.f64 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 2) 2)
(/.f64 (-.f64 t (*.f64 (log.f64 y) x)) -1)
(/.f64 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 4) 4)
(/.f64 (.f64 2 (-.f64 t (.f64 (log.f64 y) x))) -2)
(/.f64 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 8) 8)
(/.f64 (.f64 (-.f64 t (.f64 (log.f64 y) x)) 4) -4)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 8)) 16)
(/.f64 (.f64 2 (.f64 (-.f64 t (*.f64 (log.f64 y) x)) 4)) -8)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 8))) 32)
(/.f64 (neg.f64 (.f64 (-.f64 t (.f64 (log.f64 y) x)) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 t (.f64 (log.f64 y) x)) 4)) (neg.f64 (.f64 (-.f64 t (.f64 (log.f64 y) x)) 4))) 8)
(neg.f64 (-.f64 t (*.f64 (log.f64 y) x)))

Outputs
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 x)) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) t)
(-.f64 (*.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1))) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) t)
(-.f64 (*.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1))) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) t)
(-.f64 (*.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1))) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 x (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) t)
(-.f64 (*.f64 x (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1))) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(*.f64 (log.f64 y) x)
(*.f64 x (log.f64 y))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (*.f64 (log.f64 y) x) (neg.f64 t))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (-.f64 (*.f64 (log.f64 y) x) t) 0)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 0 (-.f64 (*.f64 (log.f64 y) x) t))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 1 (+.f64 (-.f64 (*.f64 (log.f64 y) x) t) -1))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (neg.f64 t) (*.f64 (log.f64 y) x))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 -1 (+.f64 (*.f64 (log.f64 y) x) (-.f64 1 t)))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (+.f64 (*.f64 (log.f64 y) x) (-.f64 1 t)) -1)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 1/2) (.f64 (-.f64 (.f64 (log.f64 y) x) t) 1/2))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
(+.f64 (-.f64 1 t) (+.f64 (*.f64 (log.f64 y) x) -1))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 -2 (+.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (+.f64 (*.f64 (log.f64 y) x) 1) (-.f64 (neg.f64 t) 1))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(+.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2) -2)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 (-.f64 (.f64 (log.f64 y) x) t) 1)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 1 (-.f64 (.f64 (log.f64 y) x) t))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 2 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1/2))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2) 1/2)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 (-.f64 t (.f64 (log.f64 y) x)) -1)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 4 (/.f64 (-.f64 (.f64 (log.f64 y) x) t) 4))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 4 (-.f64 (/.f64 (.f64 (log.f64 y) x) 4) (/.f64 t 4)))
(.f64 4 (-.f64 (.f64 x (/.f64 (log.f64 y) 4)) (/.f64 t 4)))
(.f64 4 (-.f64 (.f64 (log.f64 y) (/.f64 x 4)) (/.f64 t 4)))
(.f64 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 4) 1/4)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 -1 (-.f64 t (.f64 (log.f64 y) x)))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 1/2 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 2))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1/2) 2)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 1/4 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 4))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 1/4 (-.f64 (.f64 (log.f64 y) (.f64 x 4)) (.f64 t 4)))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(.f64 (/.f64 (-.f64 (.f64 (log.f64 y) x) t) 4) 4)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (-.f64 (*.f64 (log.f64 y) x) t) 1)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 2) 2)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (-.f64 t (*.f64 (log.f64 y) x)) -1)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 4) 4)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (.f64 2 (-.f64 t (.f64 (log.f64 y) x))) -2)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 8) 8)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (.f64 (-.f64 t (.f64 (log.f64 y) x)) 4) -4)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 (log.f64 y) x) t) 8)) 16)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (.f64 2 (.f64 (-.f64 t (*.f64 (log.f64 y) x)) 4)) -8)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 8))) 32)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (neg.f64 (.f64 (-.f64 t (.f64 (log.f64 y) x)) 4)) 4)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (.f64 (log.f64 y) x) t) 8)))) 64)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 t (.f64 (log.f64 y) x)) 4)) (neg.f64 (.f64 (-.f64 t (.f64 (log.f64 y) x)) 4))) 8)
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)
(neg.f64 (-.f64 t (*.f64 (log.f64 y) x)))
(+.f64 (*.f64 x (log.f64 y)) (neg.f64 t))
(-.f64 (*.f64 x (log.f64 y)) t)

localize4.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.1%)

Compiler: Compiled 19 to 7 computations (63.2% saved)

localize106.0ms (0.8%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -1/2 (pow.f64 y 2))
✓	0.0b	(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)

Compiler

Compiled 44 to 30 computations (31.8% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	inf	(*.f64 -1/2 (pow.f64 y 2))
0.0ms	y	@	0	(*.f64 -1/2 (pow.f64 y 2))
0.0ms	y	@	0	(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
0.0ms	y	@	inf	(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
0.0ms	y	@	-inf	(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)

rewrite82.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`rational.json-simplify-35`
1284×	`bool.json-1`
1284×	`bool.json-2`
1232×	`rational.json-1`
1232×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	97	38
2	247	38
3	500	38
4	1030	38
5	2273	38
6	4801	38

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z)
(*.f64 -1/2 (pow.f64 y 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) (*.f64 z 1/2)) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) (*.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/2 (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -1/2 (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (-.f64 1 (*.f64 (pow.f64 y 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 y 2) -1/4) (*.f64 (pow.f64 y 2) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 -1/2 (pow.f64 y 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (pow.f64 y 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 y 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (pow.f64 y 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (pow.f64 y 2)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 y 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) -2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 y 2)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 y 2) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (neg.f64 (pow.f64 y 2)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 y 2)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 y 2)) 4))) (*.f64 2 (*.f64 2 (*.f64 (neg.f64 (pow.f64 y 2)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (pow.f64 y 2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 -1/2 (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/2 (pow.f64 y 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/2 (pow.f64 y 2)))))))

simplify378.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

3974×	`rational.json-simplify-41`
2886×	`rational.json-simplify-35`
2526×	`rational.json-simplify-2`
2160×	`rational.json-simplify-53`
654×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	1012
1	181	970
2	380	970
3	1173	770
4	2474	770
5	3492	770
6	4273	770
7	4481	770
8	4678	770
9	4883	770
10	5062	770
11	5752	770
12	6312	770
13	6351	770
14	6351	770
15	6525	770
16	6699	770
17	6873	770

Stop Event

1×	node limit

Counts

40 → 39

Calls

Call 1

Inputs
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 0)
(+.f64 0 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) (.f64 z 1/2)) (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) (.f64 z 1/2)))
(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 0)
(/.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 1)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z)) 2)
(/.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) (*.f64 z 4)) 4)
(/.f64 (.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 8) 8)
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 8)))) 64)
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) 0)
(+.f64 0 (*.f64 -1/2 (pow.f64 y 2)))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 y 2) 1/2)))
(+.f64 (.f64 (pow.f64 y 2) -1/4) (.f64 (pow.f64 y 2) -1/4))
(-.f64 (*.f64 -1/2 (pow.f64 y 2)) 0)
(-.f64 0 (*.f64 (pow.f64 y 2) 1/2))
(/.f64 (pow.f64 y 2) -2)
(/.f64 (*.f64 -1/2 (pow.f64 y 2)) 1)
(/.f64 (*.f64 2 (pow.f64 y 2)) -4)
(/.f64 (neg.f64 (pow.f64 y 2)) 2)
(/.f64 (*.f64 (pow.f64 y 2) -2) 4)
(/.f64 (*.f64 (neg.f64 (pow.f64 y 2)) 4) 8)
(/.f64 (*.f64 (pow.f64 y 2) 1/2) -1)
(/.f64 (.f64 2 (.f64 (neg.f64 (pow.f64 y 2)) 4)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (neg.f64 (pow.f64 y 2)) 4))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (pow.f64 y 2)) 4))) (.f64 2 (.f64 2 (.f64 (neg.f64 (pow.f64 y 2)) 4)))) 64)
(neg.f64 (*.f64 (pow.f64 y 2) 1/2))

Outputs
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 z (pow.f64 y 2)))
(.f64 z (.f64 -1/2 (pow.f64 y 2)))
(.f64 (pow.f64 y 2) (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(.f64 -1/2 (.f64 z (pow.f64 y 2)))
(.f64 z (.f64 -1/2 (pow.f64 y 2)))
(.f64 (pow.f64 y 2) (.f64 z -1/2))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 0)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 0 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) (.f64 z 1/2)) (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) (.f64 z 1/2)))
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 0)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(/.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 1)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z)) 2)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(/.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) (*.f64 z 4)) 4)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(/.f64 (.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 8) 8)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(/.f64 (.f64 2 (.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 8)) 16)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 (*.f64 -1/2 (pow.f64 y 2)) y) z) 8))) 32)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) 8)))) 64)
(+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/2 (.f64 z (pow.f64 y 2))))
(+.f64 (.f64 y (neg.f64 z)) (.f64 z (*.f64 -1/2 (pow.f64 y 2))))
(.f64 z (-.f64 (.f64 -1/2 (pow.f64 y 2)) y))
(+.f64 (*.f64 -1/2 (pow.f64 y 2)) 0)
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 0 (*.f64 -1/2 (pow.f64 y 2)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 -1 (-.f64 1 (*.f64 (pow.f64 y 2) 1/2)))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (.f64 (pow.f64 y 2) -1/4) (.f64 (pow.f64 y 2) -1/4))
(*.f64 -1/2 (pow.f64 y 2))
(-.f64 (*.f64 -1/2 (pow.f64 y 2)) 0)
(*.f64 -1/2 (pow.f64 y 2))
(-.f64 0 (*.f64 (pow.f64 y 2) 1/2))
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (pow.f64 y 2) -2)
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (*.f64 -1/2 (pow.f64 y 2)) 1)
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (*.f64 2 (pow.f64 y 2)) -4)
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (neg.f64 (pow.f64 y 2)) 2)
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (*.f64 (pow.f64 y 2) -2) 4)
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (*.f64 (neg.f64 (pow.f64 y 2)) 4) 8)
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (*.f64 (pow.f64 y 2) 1/2) -1)
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (.f64 2 (.f64 (neg.f64 (pow.f64 y 2)) 4)) 16)
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (.f64 2 (.f64 2 (*.f64 (neg.f64 (pow.f64 y 2)) 4))) 32)
(*.f64 -1/2 (pow.f64 y 2))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (neg.f64 (pow.f64 y 2)) 4))) (.f64 2 (.f64 2 (.f64 (neg.f64 (pow.f64 y 2)) 4)))) 64)
(*.f64 -1/2 (pow.f64 y 2))
(neg.f64 (*.f64 (pow.f64 y 2) 1/2))
(*.f64 -1/2 (pow.f64 y 2))

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(.f64 -1/2 (.f64 (pow.f64 y 2) z))
✓	0.0b	(+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
	6.3b	(*.f64 (pow.f64 y 2) z)

Compiler

Compiled 56 to 31 computations (44.6% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
0.0ms	z	@	inf	(+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
0.0ms	y	@	0	(+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
0.0ms	z	@	-inf	(+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z)))
0.0ms	y	@	-inf	(+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z)))

rewrite95.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1766×	`bool.json-1`
1766×	`bool.json-2`
1722×	`rational.json-1`
1146×	`rational.json-simplify-2`
1084×	`bool.json-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	132	35
2	344	29
3	722	29
4	1552	29
5	3600	29
6	6970	29

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (*.f64 z y) (*.f64 (pow.f64 y 2) (*.f64 z 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 z z) (*.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 z) (+.f64 y (*.f64 (pow.f64 y 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) z)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 z 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z 1/2) (*.f64 2 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 1/2) (+.f64 z z))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 z y) (*.f64 (pow.f64 y 2) (*.f64 z 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (*.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))))))))

simplify453.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

3680×	`rational.json-simplify-35`
3012×	`rational.json-simplify-49`
1960×	`rational.json-simplify-2`
974×	`rational.json-simplify-1`
734×	`rational.json-simplify-53`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	1441
1	159	1441
2	343	1441
3	1005	1441
4	1888	1441
5	2798	1441
6	3323	1441
7	3503	1441
8	3637	1441
9	3747	1441
10	3854	1441
11	3950	1441
12	4045	1441
13	4140	1441
14	4235	1441
15	4330	1441
16	4425	1441
17	4425	1441
18	6394	1441
19	6403	1441
20	6632	1441
21	6827	1441
22	7013	1441
23	7199	1441

Stop Event

1×	node limit

Counts

51 → 36

Calls

Call 1

Inputs
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 -1 (.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(.f64 -1 (.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(.f64 -1 (.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(.f64 -1 (.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(-.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 0)
(.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))
(.f64 2 (.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 2)))
(.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 1)
(.f64 1 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))))
(.f64 -1 (+.f64 (.f64 z y) (.f64 (pow.f64 y 2) (.f64 z 1/2))))
(.f64 (+.f64 z z) (.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 1/2))
(.f64 (.f64 2 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))) 1/2)
(.f64 (neg.f64 z) (+.f64 y (.f64 (pow.f64 y 2) 1/2)))
(.f64 4 (/.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4))
(.f64 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 4) 1/4)
(.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) z)
(.f64 (.f64 2 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (.f64 z 1/2))
(.f64 1/2 (.f64 2 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))))
(.f64 (.f64 z 1/2) (.f64 2 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))))
(.f64 (.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 2)) 2)
(.f64 (.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 1/2) (+.f64 z z))
(.f64 1/4 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 4))
(.f64 (/.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4) 4)
(.f64 (+.f64 (.f64 z y) (.f64 (pow.f64 y 2) (.f64 z 1/2))) -1)
(.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(/.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 1)
(/.f64 (.f64 2 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))))) 2)
(/.f64 (.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4) 4)
(/.f64 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 4)))) 32)

Outputs
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1 y)) z)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 -1 (.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2))))
(.f64 -1 (.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2))))
(.f64 -1 (.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2))))
(.f64 -1 (.f64 (+.f64 y (*.f64 1/2 (pow.f64 y 2))) z))
(.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2))))
(.f64 -1 (.f64 y z))
(*.f64 y (neg.f64 z))
(*.f64 z (neg.f64 y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 -1/2 (.f64 (pow.f64 y 2) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(-.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 0)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 2 (.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 2)))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 1)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 1 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 -1 (+.f64 (.f64 z y) (.f64 (pow.f64 y 2) (.f64 z 1/2))))
(.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2))))
(.f64 (+.f64 z z) (.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 1/2))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (.f64 2 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))) 1/2)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (neg.f64 z) (+.f64 y (.f64 (pow.f64 y 2) 1/2)))
(.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2))))
(.f64 4 (/.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 4) 1/4)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) z)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (.f64 2 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (.f64 z 1/2))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 1/2 (.f64 2 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (.f64 z 1/2) (.f64 2 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (.f64 z (/.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 2)) 2)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (.f64 (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))) 1/2) (+.f64 z z))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 1/4 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 4))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (/.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4) 4)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(.f64 (+.f64 (.f64 z y) (.f64 (pow.f64 y 2) (.f64 z 1/2))) -1)
(.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2))))
(.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2)) (neg.f64 z))
(.f64 z (neg.f64 (+.f64 y (.f64 (pow.f64 y 2) 1/2))))
(/.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 1)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(/.f64 (.f64 2 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2))))) 2)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(/.f64 (.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4) 4)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(/.f64 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 4)) 8)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/2 (pow.f64 y 2)))) 4))) 16)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) 4)))) 32)
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (neg.f64 y)))

eval41.0ms (0.3%)

Compiler: Compiled 2231 to 1349 computations (39.5% saved)

prune31.0ms (0.2%)

Pruning

11 alts after pruning (4 fresh and 7 done)

	Pruned	Kept	Total
New	165	2	167
Fresh	0	2	2
Picked	0	1	1
Done	0	6	6
Total	165	11	176

Error

0.1b

Counts

176 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
✓	28.6b	(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z))) t)
✓	28.6b	(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t)
✓	9.9b	(-.f64 (*.f64 (log.f64 y) x) t)
▶	28.5b	(-.f64 (.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))))) t)
▶	28.5b	(-.f64 (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) t)
✓	28.9b	(-.f64 (*.f64 z (neg.f64 y)) t)
✓	36.9b	(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
▶	9.9b	(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
▶	35.1b	(*.f64 (log.f64 y) x)
✓	37.6b	(neg.f64 t)

Compiler

Compiled 163 to 120 computations (26.4% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.3b	(*.f64 (log.f64 y) x)

Compiler

Compiled 12 to 6 computations (50% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 (log.f64 y) (/.f64 x 2)) t)
✓	0.0b	(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
✓	0.3b	(*.f64 (log.f64 y) (/.f64 x 2))

Compiler

Compiled 42 to 23 computations (45.2% saved)

series5.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
0.0ms	y	@	0	(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
0.0ms	y	@	-inf	(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
0.0ms	y	@	0	(*.f64 (log.f64 y) (/.f64 x 2))
0.0ms	y	@	-inf	(*.f64 (log.f64 y) (/.f64 x 2))

rewrite97.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`bool.json-1`
1596×	`bool.json-2`
1546×	`rational.json-1`
1546×	`rational.json-2`
1546×	`rational.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	85
1	119	85
2	316	85
3	652	85
4	1370	61
5	3095	61
6	6162	61

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(*.f64 (log.f64 y) (/.f64 x 2))
(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
(-.f64 (*.f64 (log.f64 y) (/.f64 x 2)) t)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) (*.f64 x 1/4)) (*.f64 (log.f64 y) (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (log.f64 y) (*.f64 x 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (*.f64 x 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (+.f64 x x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 4 (*.f64 (log.f64 y) x)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 4 (*.f64 (log.f64 y) x))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 4 (*.f64 (log.f64 y) x))) (*.f64 2 (*.f64 4 (*.f64 (log.f64 y) x)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (log.f64 y) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (log.f64 y) (*.f64 x 1/2)) (*.f64 (log.f64 y) (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (log.f64 y) (*.f64 x 1/2)) (*.f64 (log.f64 y) (*.f64 x 1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (-.f64 (*.f64 (log.f64 y) x) (+.f64 t t)) (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (-.f64 (*.f64 (log.f64 y) x) (+.f64 t t)) (*.f64 (log.f64 y) x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)))))))

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simplify327.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

2174×	`rational.json-simplify-2`
2124×	`rational.json-simplify-35`
1586×	`rational.json-simplify-1`
934×	`rational.json-simplify-48`
716×	`rational.json-simplify-52`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	146	3357
1	294	3325
2	644	3325
3	1370	3325
4	2870	3325
5	3775	3325
6	4394	3325
7	5014	3325
8	5879	3325
9	6280	3325
10	6710	3325
11	6864	3325
12	7450	3325
13	7917	3325

Stop Event

1×	node limit

Counts

159 → 94

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 -1/2 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1/2 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1/2 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 -1/2 (.f64 (log.f64 (/.f64 1 y)) x))
(.f64 1/2 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 1/2 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 1/2 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 1/2 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(*.f64 -1 t)
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(*.f64 (log.f64 y) x)
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(*.f64 (log.f64 y) x)
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(*.f64 (log.f64 y) x)
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(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 -1 t)
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(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(*.f64 -1 t)
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(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(-.f64 (.f64 -1/2 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1/2 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1/2 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 -1/2 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (.f64 1/2 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) t)
(-.f64 (.f64 1/2 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) t)
(-.f64 (.f64 1/2 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) t)
(-.f64 (.f64 1/2 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) t)
(*.f64 -1 t)
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(.f64 1/2 (.f64 (log.f64 y) x))
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(.f64 1/2 (.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (.f64 1/2 (*.f64 (log.f64 y) x)))
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(.f64 1/2 (.f64 (log.f64 y) x))
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(*.f64 -1 t)
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(*.f64 -1 t)
(+.f64 (.f64 -1 t) (.f64 1/2 (*.f64 (log.f64 y) x)))
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(+.f64 (.f64 (log.f64 y) (.f64 x 1/2)) 0)
(+.f64 0 (.f64 (log.f64 y) (.f64 x 1/2)))
(+.f64 (.f64 (log.f64 y) (.f64 x 1/4)) (.f64 (log.f64 y) (.f64 x 1/4)))
(-.f64 (.f64 (log.f64 y) (.f64 x 1/2)) 0)
(/.f64 (.f64 (log.f64 y) (.f64 x 1/2)) 1)
(/.f64 (*.f64 (log.f64 y) x) 2)
(/.f64 (*.f64 (log.f64 y) (+.f64 x x)) 4)
(/.f64 (.f64 4 (.f64 (log.f64 y) x)) 8)
(/.f64 (.f64 2 (.f64 4 (*.f64 (log.f64 y) x))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 4 (.f64 (log.f64 y) x))) (.f64 2 (.f64 4 (.f64 (log.f64 y) x)))) 32)
(-.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 0)
(.f64 2 (.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 1/2))
(.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 1)
(.f64 1 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)))
(.f64 4 (/.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4))
(.f64 (.f64 2 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t))) 1/2)
(.f64 1/2 (.f64 2 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t))))
(.f64 1/2 (+.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)) (*.f64 (log.f64 y) x)))
(.f64 (.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4) 1/4)
(.f64 1/4 (.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4))
(.f64 (.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 1/2) 2)
(.f64 (/.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4) 4)
(.f64 (+.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)) (*.f64 (log.f64 y) x)) 1/2)
(/.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t))) 2)
(/.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4) 4)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4)))) 32)
(+.f64 (.f64 (log.f64 y) (.f64 x 1/2)) (neg.f64 t))
(+.f64 (-.f64 (.f64 (log.f64 y) (.f64 x 1/2)) t) 0)
(+.f64 0 (-.f64 (.f64 (log.f64 y) (.f64 x 1/2)) t))
(+.f64 (neg.f64 t) (.f64 (log.f64 y) (.f64 x 1/2)))
(+.f64 -1 (+.f64 (.f64 (log.f64 y) (.f64 x 1/2)) (-.f64 1 t)))
(+.f64 (+.f64 (.f64 (log.f64 y) (.f64 x 1/2)) (-.f64 1 t)) -1)
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(.f64 2 (-.f64 (.f64 (log.f64 y) (.f64 x 1/4)) (.f64 t 1/2)))
(.f64 (-.f64 (.f64 (log.f64 y) (*.f64 x 1/2)) t) 1)
(.f64 1 (-.f64 (.f64 (log.f64 y) (*.f64 x 1/2)) t))
(.f64 4 (/.f64 (-.f64 (.f64 (log.f64 y) (*.f64 x 1/2)) t) 4))
(.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)) 1/2)
(.f64 (-.f64 t (.f64 (log.f64 y) (*.f64 x 1/2))) -1)
(.f64 1/2 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)))
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(.f64 1/4 (.f64 2 (-.f64 (*.f64 (log.f64 y) x) (+.f64 t t))))
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Outputs
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(.f64 1/2 (.f64 (log.f64 y) x))
(.f64 1/2 (.f64 (log.f64 y) x))
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(.f64 (log.f64 (/.f64 1 y)) (.f64 x -1/2))
(.f64 -1/2 (.f64 x (log.f64 (/.f64 1 y))))
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(.f64 (log.f64 (/.f64 1 y)) (.f64 x -1/2))
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(.f64 1/2 (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x))
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(-.f64 (*.f64 (log.f64 y) x) t)
(.f64 1/2 (.f64 2 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t))))
(-.f64 (*.f64 (log.f64 y) x) t)
(.f64 1/2 (+.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)) (*.f64 (log.f64 y) x)))
(-.f64 (*.f64 (log.f64 y) x) t)
(.f64 (.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4) 1/4)
(-.f64 (*.f64 (log.f64 y) x) t)
(.f64 1/4 (.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4))
(-.f64 (*.f64 (log.f64 y) x) t)
(.f64 (.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 1/2) 2)
(-.f64 (*.f64 (log.f64 y) x) t)
(.f64 (/.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4) 4)
(-.f64 (*.f64 (log.f64 y) x) t)
(.f64 (+.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)) (*.f64 (log.f64 y) x)) 1/2)
(-.f64 (*.f64 (log.f64 y) x) t)
(/.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 1)
(-.f64 (*.f64 (log.f64 y) x) t)
(/.f64 (.f64 2 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t))) 2)
(-.f64 (*.f64 (log.f64 y) x) t)
(/.f64 (.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4) 4)
(-.f64 (*.f64 (log.f64 y) x) t)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (log.f64 y) x) (neg.f64 t)) 4)) 8)
(-.f64 (*.f64 (log.f64 y) x) t)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4))) 16)
(-.f64 (*.f64 (log.f64 y) x) t)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (log.f64 y) x) (neg.f64 t)) 4)))) 32)
(-.f64 (*.f64 (log.f64 y) x) t)
(+.f64 (.f64 (log.f64 y) (.f64 x 1/2)) (neg.f64 t))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(+.f64 (-.f64 (.f64 (log.f64 y) (.f64 x 1/2)) t) 0)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(+.f64 0 (-.f64 (.f64 (log.f64 y) (.f64 x 1/2)) t))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(+.f64 (neg.f64 t) (.f64 (log.f64 y) (.f64 x 1/2)))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(+.f64 -1 (+.f64 (.f64 (log.f64 y) (.f64 x 1/2)) (-.f64 1 t)))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(+.f64 (+.f64 (.f64 (log.f64 y) (.f64 x 1/2)) (-.f64 1 t)) -1)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(+.f64 (/.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)) 4) (/.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)) 4))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 2 (/.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)) 4))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 2 (-.f64 (.f64 (log.f64 y) (.f64 x 1/4)) (.f64 t 1/2)))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 (-.f64 (.f64 (log.f64 y) (*.f64 x 1/2)) t) 1)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 1 (-.f64 (.f64 (log.f64 y) (*.f64 x 1/2)) t))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 4 (/.f64 (-.f64 (.f64 (log.f64 y) (*.f64 x 1/2)) t) 4))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)) 1/2)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 (-.f64 t (.f64 (log.f64 y) (*.f64 x 1/2))) -1)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 1/2 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 (.f64 2 (-.f64 (*.f64 (log.f64 y) x) (+.f64 t t))) 1/4)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 1/4 (.f64 2 (-.f64 (*.f64 (log.f64 y) x) (+.f64 t t))))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 1/4 (-.f64 (.f64 (log.f64 y) (+.f64 x x)) (*.f64 t 4)))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 -1 (-.f64 t (.f64 (log.f64 y) (*.f64 x 1/2))))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 (/.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)) 4) 2)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(.f64 (/.f64 (-.f64 (.f64 (log.f64 y) (*.f64 x 1/2)) t) 4) 4)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (-.f64 (.f64 (log.f64 y) (.f64 x 1/2)) t) 1)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (-.f64 (*.f64 (log.f64 y) x) (+.f64 t t)) 2)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (-.f64 t (.f64 (log.f64 y) (.f64 x 1/2))) -1)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (.f64 2 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t))) 4)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (.f64 2 (.f64 2 (-.f64 (*.f64 (log.f64 y) x) (+.f64 t t)))) 8)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (.f64 2 (-.f64 t (.f64 (log.f64 y) (*.f64 x 1/2)))) -2)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t))))) 16)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (.f64 2 (.f64 2 (-.f64 t (.f64 (log.f64 y) (.f64 x 1/2))))) -4)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (neg.f64 (.f64 2 (-.f64 t (.f64 (log.f64 y) (*.f64 x 1/2))))) 2)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t))))) (.f64 2 (.f64 2 (.f64 2 (-.f64 (.f64 (log.f64 y) x) (+.f64 t t)))))) 32)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 t (.f64 (log.f64 y) (.f64 x 1/2))))) (neg.f64 (.f64 2 (-.f64 t (.f64 (log.f64 y) (.f64 x 1/2)))))) 4)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(/.f64 (/.f64 (.f64 2 (.f64 2 (-.f64 t (.f64 (log.f64 y) (.f64 x 1/2))))) -1) 4)
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)
(neg.f64 (-.f64 t (.f64 (log.f64 y) (.f64 x 1/2))))
(-.f64 (.f64 1/2 (.f64 (log.f64 y) x)) t)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -1/2 (pow.f64 y 2))
✓	0.0b	(+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))
✓	0.0b	(.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))
	0.1b	(*.f64 -1/3 (pow.f64 y 3))

Compiler

Compiled 88 to 63 computations (28.4% saved)

series2.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	z	@	0	(.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))
0.0ms	z	@	inf	(.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))
0.0ms	z	@	-inf	(.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))
0.0ms	y	@	inf	(.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))
0.0ms	y	@	0	(.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))

rewrite103.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1744×	`bool.json-1`
1744×	`bool.json-2`
1692×	`rational.json-1`
1150×	`rational.json-simplify-35`
1122×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	78
1	169	78
2	410	78
3	820	78
4	1846	78
5	4041	78
6	6973	78

Stop Event

1×	node limit

Counts

2 → 27

Calls

Call 1

Inputs
(.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 z 1/2)) (*.f64 (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 z 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 z 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 z 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 z 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 z 4)))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))) (*.f64 z 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) (*.f64 z (+.f64 (neg.f64 y) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) (+.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))))))

simplify304.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

3644×	`rational.json-simplify-41`
2482×	`rational.json-simplify-49`
2084×	`rational.json-simplify-2`
2012×	`rational.json-simplify-35`
1546×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	2371
1	177	2355
2	412	2355
3	925	2301
4	1816	2301
5	2495	2301
6	2873	2301
7	3363	2301
8	3487	2301
9	3603	2301
10	3718	2301
11	3833	2301
12	4287	2301
13	4641	2301
14	5026	2301
15	5026	2301

Stop Event

1×	node limit

Counts

63 → 56

Calls

Call 1

Inputs
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z)
(.f64 -1 (.f64 y z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1 (.f64 y z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(.f64 -1/3 (.f64 (pow.f64 y 3) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(.f64 -1/3 (.f64 (pow.f64 y 3) z))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 -1/3 (.f64 (pow.f64 y 3) z))))
(*.f64 -1/2 (pow.f64 y 2))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(*.f64 -1/3 (pow.f64 y 3))
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(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))) (.f64 z 4)))) (.f64 2 (.f64 2 (.f64 (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))) (.f64 z 4))))) 32)
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (+.f64 (*.f64 -1/2 (pow.f64 y 2)) (neg.f64 y))))
(.f64 z (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3)))))
(-.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2))) 0)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 2 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2))) 1/2))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 1 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 (.f64 2 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))) 1/2)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 4 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2))) 4) 1/4)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 1/2 (.f64 2 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2))) 1/2) 2)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 1/4 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2))) 4))
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(.f64 (/.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4) 4)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2))) 1)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (.f64 2 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2)))) 2)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4) 4)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2))) 4)) 8)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))) 4))) 16)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2))) 4))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2))) 4)))) 32)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1/3 (pow.f64 y 3)))

localize108.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -1/2 (pow.f64 y 2))
	0.0b	(+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))
	0.0b	(.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4)))))
	0.1b	(*.f64 -1/3 (pow.f64 y 3))

Compiler

Compiled 124 to 91 computations (26.6% saved)

eval180.0ms (1.3%)

Compiler: Compiled 5898 to 3906 computations (33.8% saved)

prune139.0ms (1%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	301	2	303
Fresh	0	0	0
Picked	1	0	1
Done	1	9	10
Total	303	11	314

Error

0.1b

Counts

314 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.5b	(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
✓	28.6b	(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z))) t)
	28.5b	(-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z) t)
	28.5b	(-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z) t)
✓	28.6b	(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t)
✓	9.9b	(-.f64 (*.f64 (log.f64 y) x) t)
✓	28.9b	(-.f64 (*.f64 z (neg.f64 y)) t)
✓	36.9b	(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
✓	9.9b	(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
✓	35.1b	(*.f64 (log.f64 y) x)
✓	37.6b	(neg.f64 t)

Compiler

Compiled 161 to 118 computations (26.7% saved)

regimes1.0s (7.7%)

Counts

18 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
(-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z) t)
(-.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) t)
(-.f64 (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x))) t)
(-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))))) t)
(-.f64 (.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))) t)

Outputs
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))) t)

Calls

6 calls:

75.0ms	x
10.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
10.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
10.0ms	z
10.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`t`
0.1b	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)`
0.1b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`

Compiler

Compiled 316 to 191 computations (39.6% saved)

regimes424.0ms (3.2%)

Counts

17 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
(-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z) t)
(-.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) t)
(-.f64 (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x))) t)
(-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))))) t)
(-.f64 (.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/4 (pow.f64 y 4))))) t)

Outputs
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))))) t)

Calls

6 calls:

369.0ms	z
12.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
9.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
9.0ms	t
9.0ms	x

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`t`
0.2b	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)`
0.2b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`

Compiler

Compiled 287 to 173 computations (39.7% saved)

regimes55.0ms (0.4%)

Counts

15 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
(-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z) t)
(-.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) t)
(-.f64 (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x))) t)
(-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/4 (pow.f64 y 4)) (.f64 -1/3 (pow.f64 y 3)))) y) z) t)

Outputs
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x))) t)

Calls

6 calls:

9.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
9.0ms	z
8.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
8.0ms	x
8.0ms	y

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`t`
0.2b	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)`
0.2b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`

Compiler

Compiled 240 to 143 computations (40.4% saved)

regimes141.0ms (1.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
(-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z) t)
(-.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) t)
(-.f64 (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/2 (pow.f64 y 2))))) t)

Outputs
(-.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) t)

Calls

6 calls:

97.0ms	z
9.0ms	x
8.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
8.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
8.0ms	t

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`z`
0.2b	1	`t`
0.2b	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)`
0.2b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`

Compiler

Compiled 198 to 118 computations (40.4% saved)

regimes98.0ms (0.7%)

Counts

11 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 -1/2 (*.f64 (pow.f64 y 2) z))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(+.f64 (.f64 (log.f64 y) (/.f64 x 2)) (-.f64 (.f64 (log.f64 y) (/.f64 x 2)) t))
(-.f64 (.f64 (-.f64 (+.f64 (.f64 -1/2 (pow.f64 y 2)) (*.f64 -1/3 (pow.f64 y 3))) y) z) t)

Outputs
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)

Calls

6 calls:

59.0ms	z
7.0ms	x
7.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
7.0ms	t
7.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`z`
0.5b	1	`t`
0.5b	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)`
0.5b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`

Compiler

Compiled 163 to 98 computations (39.9% saved)

regimes56.0ms (0.4%)

Counts

6 → 3

Calls

Call 1

Inputs
(neg.f64 t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t)

Outputs
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t)
(-.f64 (*.f64 (log.f64 y) x) t)

Calls

4 calls:

23.0ms	y
18.0ms	x
9.0ms	z
5.0ms	t

Results

Error	Segments	Branch
4.6b	3	`x`
7.8b	5	`y`
7.7b	2	`z`
9.9b	1	`t`

Compiler

Compiled 61 to 39 computations (36.1% saved)

bsearch106.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	1.489328809738951e-77	6.854758863692436e-77
84.0ms	-1.2057083422084702e-165	-3.503994045143745e-166

Results

83.0ms	126×	body	256	valid
11.0ms	21×	body	1024	valid
8.0ms	28×	body	512	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 321 to 238 computations (25.9% saved)

regimes138.0ms (1%)

Counts

5 → 3

Calls

Call 1

Inputs
(neg.f64 t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)

Outputs
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(-.f64 (*.f64 (log.f64 y) x) t)

Calls

4 calls:

98.0ms	t
19.0ms	x
12.0ms	y
8.0ms	z

Results

Error	Segments	Branch
4.7b	3	`x`
8.8b	3	`y`
7.8b	2	`z`
9.9b	1	`t`

Compiler

Compiled 50 to 32 computations (36% saved)

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
27.0ms	1.489328809738951e-77	6.854758863692436e-77
24.0ms	-1.2057083422084702e-165	-3.503994045143745e-166

Results

20.0ms	121×	body	256	valid
17.0ms	23×	body	1024	valid
10.0ms	30×	body	512	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 266 to 194 computations (27.1% saved)

regimes91.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

Inputs
(neg.f64 t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(*.f64 (log.f64 y) x)

Outputs
(*.f64 (log.f64 y) x)
(-.f64 (*.f64 z (neg.f64 y)) t)
(*.f64 (log.f64 y) x)

Calls

4 calls:

33.0ms	z
21.0ms	t
19.0ms	y
16.0ms	x

Results

Error	Segments	Branch
13.8b	3	`x`
23.1b	6	`y`
20.6b	9	`z`
17.8b	5	`t`

Compiler

Compiled 36 to 26 computations (27.8% saved)

bsearch53.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	2.3127756076509936e-28	2.5799374525239702e-21
16.0ms	-2.6939325362312745e+29	-6.858260992467769e+28

Results

28.0ms	175×	body	256	valid
13.0ms	23×	body	1024	valid
8.0ms	26×	body	512	valid

Compiler

Compiled 304 to 228 computations (25% saved)

regimes14.0ms (0.1%)

Accuracy

Total -8.8b remaining (-30.5%)

Threshold costs -8.8b (-30.5%)

Counts

2 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(-.f64 (*.f64 z (neg.f64 y)) t)

Outputs
(-.f64 (*.f64 z (neg.f64 y)) t)

Calls

4 calls:

4.0ms	z
3.0ms	t
3.0ms	y
3.0ms	x

Results

Error	Segments	Branch
28.9b	1	`x`
28.9b	1	`y`
28.9b	1	`z`
28.9b	1	`t`

Compiler

Compiled 32 to 24 computations (25% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	528

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))))) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x))) t)
(-.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
(if (<=.f64 x -622427335332149/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (-.f64 (.f64 (log.f64 y) x) t) (if (<=.f64 x 2477035747222735/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t) (-.f64 (.f64 (log.f64 y) x) t)))
(if (<=.f64 x -4149515568880993/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (-.f64 (.f64 (log.f64 y) x) t) (if (<=.f64 x 8447995601054381/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (-.f64 (.f64 z (neg.f64 y)) t) (-.f64 (*.f64 (log.f64 y) x) t)))
(if (<=.f64 x -230000000000000010202963247104) (.f64 (log.f64 y) x) (if (<=.f64 x 3083808950221005/10633823966279326983230456482242756608) (-.f64 (.f64 z (neg.f64 y)) t) (*.f64 (log.f64 y) x)))
(-.f64 (*.f64 z (neg.f64 y)) t)
(neg.f64 t)

Outputs
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2))) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1/4 (pow.f64 y 4)))))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (+.f64 (neg.f64 y) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 -1/2 (pow.f64 y 2)))))) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (.f64 (log.f64 y) x))) t)
(-.f64 (+.f64 (.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (pow.f64 y 2)))) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 z (neg.f64 y)) (.f64 (log.f64 y) x)) t)
(if (<=.f64 x -622427335332149/518689446110124119814050982961395143876555779030304612499457166211331601426613518299963381118387974286024735826412598647799393884426471913485859354264245460882647725425188690460672) (-.f64 (.f64 (log.f64 y) x) t) (if (<=.f64 x 2477035747222735/130370302485407109521180524058200202307293977194619920040712988758680403184853549195737432064) (-.f64 (.f64 (-.f64 (.f64 -1/2 (pow.f64 y 2)) y) z) t) (-.f64 (.f64 (log.f64 y) x) t)))
(if (<=.f64 x -4149515568880993/4149515568880992958512407863691161151012446232242436899995657329690652811412908146399707048947103794288197886611300789182395151075411775307886874834113963687061181803401509523685376) (-.f64 (.f64 (log.f64 y) x) t) (if (<=.f64 x 8447995601054381/521481209941628438084722096232800809229175908778479680162851955034721612739414196782949728256) (-.f64 (.f64 z (neg.f64 y)) t) (-.f64 (*.f64 (log.f64 y) x) t)))
(if (<=.f64 x -230000000000000010202963247104) (.f64 (log.f64 y) x) (if (<=.f64 x 3083808950221005/10633823966279326983230456482242756608) (-.f64 (.f64 z (neg.f64 y)) t) (*.f64 (log.f64 y) x)))
(-.f64 (*.f64 z (neg.f64 y)) t)
(neg.f64 t)

Compiler

Compiled 226 to 149 computations (34.1% saved)

soundness162.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

2060×	`rational.json-simplify-41`
1638×	`rational.json-simplify-35`
1186×	`rational.json-simplify-46`
1092×	`rational.json-simplify-51`
892×	`rational.json-simplify-2`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	213	4417
1	470	4273
2	1109	4273
3	2204	4219
4	4033	4219
5	4525	4219
6	5000	4219
7	5441	4211
8	5959	4211

Stop Event

1×	node limit

Compiler

Compiled 243 to 165 computations (32.1% saved)

end81.0ms (0.6%)

Compiler: Compiled 190 to 86 computations (54.7% saved)

Details

analyze141.0ms (1.1%)

sample3.6s (26.5%)

preprocess6.0ms (0%)

simplify11.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize22.0ms (0.2%)

series102.0ms (0.8%)

rewrite100.0ms (0.7%)

simplify306.0ms (2.3%)

eval226.0ms (1.7%)

prune116.0ms (0.9%)

localize262.0ms (2%)

series5.0ms (0%)

rewrite87.0ms (0.6%)

simplify353.0ms (2.6%)

localize76.0ms (0.6%)

localize12.0ms (0.1%)

series7.0ms (0%)

rewrite76.0ms (0.6%)

simplify317.0ms (2.4%)

localize105.0ms (0.8%)

series6.0ms (0%)

rewrite146.0ms (1.1%)

simplify558.0ms (4.2%)

localize99.0ms (0.7%)

series4.0ms (0%)

rewrite111.0ms (0.8%)

simplify384.0ms (2.9%)

eval383.0ms (2.9%)

prune239.0ms (1.8%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite108.0ms (0.8%)

simplify438.0ms (3.3%)

localize4.0ms (0%)

localize7.0ms (0.1%)

localize106.0ms (0.8%)

series1.0ms (0%)

rewrite82.0ms (0.6%)

simplify378.0ms (2.8%)

localize21.0ms (0.2%)

series1.0ms (0%)

rewrite95.0ms (0.7%)

simplify453.0ms (3.4%)

eval41.0ms (0.3%)

prune31.0ms (0.2%)

localize6.0ms (0%)

localize16.0ms (0.1%)

series5.0ms (0%)

rewrite97.0ms (0.7%)

simplify327.0ms (2.4%)

localize33.0ms (0.2%)

series2.0ms (0%)

rewrite103.0ms (0.8%)

simplify304.0ms (2.3%)

localize108.0ms (0.8%)

eval180.0ms (1.3%)

prune139.0ms (1%)

regimes1.0s (7.7%)

regimes424.0ms (3.2%)

regimes55.0ms (0.4%)

regimes141.0ms (1.1%)

regimes98.0ms (0.7%)

regimes56.0ms (0.4%)

bsearch106.0ms (0.8%)

regimes138.0ms (1%)

bsearch51.0ms (0.4%)

regimes91.0ms (0.7%)

bsearch53.0ms (0.4%)

regimes14.0ms (0.1%)

simplify8.0ms (0.1%)

soundness162.0ms (1.2%)

end81.0ms (0.6%)

Profiling