Details

analyze163.0ms (1.5%)

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)

sample2.3s (21.9%)

Results

1.3s	6615×	body	256	valid
500.0ms	699×	body	1024	valid
373.0ms	921×	body	512	valid
100.0ms	488×	body	256	invalid
19.0ms	21×	body	2048	valid
5.0ms	27×	body	256	infinite

Bogosity

preprocess297.0ms (2.8%)

Algorithm

2×	egg-herbie

Rules

819×	`distribute-rgt-in_binary64`
723×	`sub-neg_binary64`
600×	`associate--r+_binary64`
535×	`fma-neg_binary64`
519×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	126
1	101	119
2	216	119
3	386	119
4	666	119
5	1102	119
6	2189	119
7	3695	119
8	4449	119
9	4708	119
10	5076	119
11	5755	119
12	6617	119
13	6617	119
14	6617	119
15	6617	119
16	6935	119
17	6963	119
18	6971	119
19	7202	119
0	4	4

Stop Event

1×	saturated
1×	node limit

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 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 x (log.f64 y) (fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (.f64 y (log.f64 x)) (.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log.f64 (-.f64 1 x)))) t)
(-.f64 (fma.f64 y (log.f64 x) (*.f64 z (log1p.f64 (neg.f64 x)))) t)
(fma.f64 y (log.f64 x) (fma.f64 z (log1p.f64 (neg.f64 x)) (neg.f64 t)))
(fma.f64 z (log1p.f64 (neg.f64 x)) (-.f64 (*.f64 y (log.f64 x)) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 x)) (*.f64 y (log.f64 x))) t)
(-.f64 (+.f64 (.f64 z (log.f64 y)) (.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 z (log.f64 y) (*.f64 x (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) z)) t)
(fma.f64 (log.f64 y) z (fma.f64 x (log1p.f64 (neg.f64 y)) (neg.f64 t)))
(-.f64 (+.f64 (.f64 t (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (fma.f64 t (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) x)
(-.f64 (fma.f64 (log.f64 y) t (*.f64 z (log1p.f64 (neg.f64 y)))) x)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 (log.f64 y) t) x))
(-.f64 (+.f64 (.f64 x (log.f64 z)) (.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log.f64 (-.f64 1 z)))) t)
(-.f64 (fma.f64 x (log.f64 z) (*.f64 y (log1p.f64 (neg.f64 z)))) t)
(-.f64 (fma.f64 y (log1p.f64 (neg.f64 z)) (*.f64 x (log.f64 z))) t)
(fma.f64 x (log.f64 z) (fma.f64 y (log1p.f64 (neg.f64 z)) (neg.f64 t)))
(-.f64 (+.f64 (.f64 x (log.f64 t)) (.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log.f64 (-.f64 1 t)))) y)
(-.f64 (fma.f64 x (log.f64 t) (*.f64 z (log1p.f64 (neg.f64 t)))) y)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 t)) (*.f64 x (log.f64 t))) y)
(fma.f64 z (log1p.f64 (neg.f64 t)) (fma.f64 x (log.f64 t) (neg.f64 y)))
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 t (log.f64 (-.f64 1 y)))) z)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log.f64 (-.f64 1 y)) t)) z)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log1p.f64 (neg.f64 y)) t)) z)
(fma.f64 x (log.f64 y) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) t) z))
(fma.f64 x (log.f64 y) (fma.f64 (log1p.f64 (neg.f64 y)) t (neg.f64 z)))
(fma.f64 (log1p.f64 (neg.f64 y)) t (fma.f64 x (log.f64 y) (neg.f64 z)))

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-neg_binary64`
314×	`fma-def_binary64`
173×	`distribute-rgt-in_binary64`
134×	`unsub-neg_binary64`
124×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	25	17
2	46	17
3	75	17
4	123	17
5	200	17
6	376	17
7	719	17
8	1278	17
9	2030	17
10	2713	17
11	2989	17
12	3005	17
13	3005	17

Stop Event

1×

saturated

Counts

1 → 2

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 (fma.f64 x (log.f64 y) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))

eval1.0ms (0%)

Compiler: Compiled 28 to 16 computations (42.9% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
▶	11.1b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)

Compiler

Compiled 32 to 22 computations (31.3% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
✓	0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
✓	0.3b	(*.f64 x (log.f64 y))
✓	6.1b	(log.f64 (-.f64 1 y))

Compiler

Compiled 52 to 27 computations (48.1% saved)

series137.0ms (1.3%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
45.0ms	z	@	0	(*.f64 z (log.f64 (-.f64 1 y)))
40.0ms	x	@	0	(*.f64 x (log.f64 y))
14.0ms	y	@	-inf	(*.f64 x (log.f64 y))
13.0ms	y	@	0	(*.f64 x (log.f64 y))
8.0ms	y	@	inf	(*.f64 x (log.f64 y))

rewrite129.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`fma-def_binary64`
685×	`log-prod_binary64`
349×	`fma-neg_binary64`
255×	`pow1/3_binary64`
253×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	278	36
2	3905	36

Stop Event

1×	node limit

Counts

4 → 226

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 2 (.f64 1/3 (log1p.f64 (neg.f64 y)))) (.f64 1/3 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (log1p.f64 (neg.f64 y))) (.f64 1/2 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 (pow.f64 y 3))) (log.f64 (/.f64 1 (+.f64 1 (fma.f64 y y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/3 (log1p.f64 (neg.f64 y))) (.f64 2 (.f64 1/3 (log1p.f64 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 (neg.f64 (.f64 y y))) (log.f64 (/.f64 1 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 1 (fma.f64 y y y)) (-.f64 1 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 1 y) (-.f64 1 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (neg.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 (pow.f64 y 3))) (log1p.f64 (fma.f64 y y y)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (neg.f64 (.f64 y y))) (log1p.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 1 (pow.f64 y 3)))) (log.f64 (neg.f64 (+.f64 1 (fma.f64 y y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (-.f64 1 (.f64 y y)))) (log.f64 (neg.f64 (+.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (neg.f64 y) 3))) (log.f64 (+.f64 1 (-.f64 (.f64 (neg.f64 y) (neg.f64 y)) (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (.f64 (neg.f64 y) (neg.f64 y)))) (log.f64 (-.f64 1 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log1p.f64 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log1p.f64 (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (log1p.f64 (neg.f64 y))) (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 2)) (cbrt.f64 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (log1p.f64 (neg.f64 y))) (sqrt.f64 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 3 (.f64 1/3 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/3 (.f64 3 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (neg.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (neg.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (neg.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 1 (fma.f64 y y y)) (-.f64 1 (pow.f64 y 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 (+.f64 1 y) (-.f64 1 (.f64 y y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (.f64 (neg.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (log1p.f64 (neg.f64 y))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 y x)) (cbrt.f64 (pow.f64 y x)))) (log.f64 (cbrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (*.f64 x (log.f64 y))) 1))))))
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x (log.f64 y)))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 x (log.f64 y)))) (sqrt.f64 t)) (+.f64 (neg.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) (.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) (.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (.f64 (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log1p.f64 (neg.f64 y)) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z) (fma.f64 x (log.f64 y) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (log.f64 y) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (cbrt.f64 (pow.f64 (log1p.f64 (neg.f64 y)) 2))) (cbrt.f64 (log1p.f64 (neg.f64 y))) (fma.f64 x (log.f64 y) (neg.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 z (sqrt.f64 (log1p.f64 (neg.f64 y)))) (sqrt.f64 (log1p.f64 (neg.f64 y))) (fma.f64 x (log.f64 y) (neg.f64 t)))))))

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-def_binary64`
618×	`sub-neg_binary64`
557×	`associate-+l+_binary64`
441×	`unsub-neg_binary64`
340×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	123	1637
1	380	1494
2	1232	1447
3	4956	1411

Stop Event

1×	node limit

Counts

322 → 312

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

Outputs
(*.f64 -1 y)
(neg.f64 y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (.f64 -1 y))
(fma.f64 -1/2 (*.f64 y y) (neg.f64 y))
(-.f64 (.f64 y (.f64 y -1/2)) y)
(+.f64 (.f64 -1/2 (pow.f64 y 2)) (+.f64 (.f64 -1/3 (pow.f64 y 3)) (*.f64 -1 y)))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y)))
(-.f64 (fma.f64 -1/2 (.f64 y y) (.f64 -1/3 (pow.f64 y 3))) y)
(-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)
(-.f64 (.f64 y (.f64 y (+.f64 (*.f64 y -1/3) -1/2))) 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))))
(fma.f64 -1/2 (*.f64 y y) (fma.f64 -1/4 (pow.f64 y 4) (fma.f64 -1/3 (pow.f64 y 3) (neg.f64 y))))
(fma.f64 -1/2 (.f64 y y) (-.f64 (fma.f64 -1/4 (pow.f64 y 4) (.f64 -1/3 (pow.f64 y 3))) y))
(fma.f64 -1/4 (pow.f64 y 4) (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y))
(-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y (+.f64 -1/3 (.f64 -1/4 y))))) y)
(+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))
(+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))
(+.f64 (log.f64 -1) (log.f64 y))
(-.f64 (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))) (/.f64 1 y))
(+.f64 (log.f64 -1) (-.f64 (neg.f64 (neg.f64 (log.f64 y))) (/.f64 1 y)))
(+.f64 (log.f64 -1) (+.f64 (log.f64 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) (neg.f64 (neg.f64 (log.f64 y)))) (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))))
(+.f64 (log.f64 -1) (-.f64 (log.f64 y) (+.f64 (/.f64 1 y) (/.f64 (/.f64 1/2 y) y))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 y) (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y)))))
(-.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 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (+.f64 (+.f64 (/.f64 1 y) (/.f64 1/2 (*.f64 y y))) (/.f64 1/3 (pow.f64 y 3))))
(+.f64 (log.f64 -1) (-.f64 (+.f64 (log.f64 y) (/.f64 -1 y)) (+.f64 (/.f64 (/.f64 1/2 y) y) (/.f64 1/3 (pow.f64 y 3)))))
(+.f64 (log.f64 -1) (+.f64 (log.f64 y) (+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 -1/3 (pow.f64 y 3)))))
(+.f64 (+.f64 (log.f64 -1) (log.f64 y)) (+.f64 (+.f64 (/.f64 -1 y) (/.f64 -1/2 (*.f64 y y))) (/.f64 -1/3 (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))
(fma.f64 -1 (log.f64 (/.f64 -1 y)) (/.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)))))
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(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (.f64 -1 (+.f64 (*.f64 (log.f64 (/.f64 -1 y)) z) (/.f64 z y))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))))) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))) t)
(-.f64 (fma.f64 (log.f64 y) x (fma.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))))) t)
(-.f64 (+.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))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (fma.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (.f64 (/.f64 z (.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)))) t)
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (.f64 (/.f64 z (.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
✓	0.0b	(-.f64 (*.f64 x (log.f64 y)) t)
	0.3b	(*.f64 x (log.f64 y))

Compiler

Compiled 36 to 10 computations (72.2% saved)

series13.0ms (0.1%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
3.0ms	t	@	0	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
2.0ms	z	@	0	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
2.0ms	x	@	0	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
1.0ms	z	@	inf	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
0.0ms	y	@	-inf	(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`prod-diff_binary64`
521×	`log-prod_binary64`
338×	`pow-prod-down_binary64`
303×	`fma-def_binary64`
280×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	228	24
2	2969	24

Stop Event

1×	node limit

Counts

2 → 144

Calls

Call 1

Inputs
(-.f64 (*.f64 x (log.f64 y)) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (log.f64 y)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (log.f64 y)) (.f64 (neg.f64 t) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (log.f64 y)) t) (fma.f64 (neg.f64 t) 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (log.f64 y)) t) (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (log.f64 y)) t) (+.f64 (neg.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (log.f64 y)) t) (fma.f64 -1 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 x (log.f64 y)) t) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 t) (.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (.f64 x (log.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 y x) (exp.f64 t))) 2)) (log.f64 (cbrt.f64 (/.f64 (pow.f64 y x) (exp.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 (pow.f64 y x) (exp.f64 t)))) (log.f64 (sqrt.f64 (/.f64 (pow.f64 y x) (exp.f64 t)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x (log.f64 y)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (.f64 x (log.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 x (log.f64 y)) t)) (pow.f64 (cbrt.f64 (-.f64 (.f64 x (log.f64 y)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 x (log.f64 y)) t)) 2) (cbrt.f64 (-.f64 (.f64 x (log.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (.f64 x (log.f64 y)) t)) (sqrt.f64 (-.f64 (.f64 x (log.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 t 3)) (/.f64 1 (fma.f64 t (fma.f64 x (log.f64 y) t) (pow.f64 (.f64 x (log.f64 y)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t)) (/.f64 1 (fma.f64 x (log.f64 y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 (.f64 x (log.f64 y))) (sqrt.f64 t)) (-.f64 (sqrt.f64 (.f64 x (log.f64 y))) (sqrt.f64 t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 t (fma.f64 x (log.f64 y) t) (pow.f64 (.f64 x (log.f64 y)) 2)) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 t 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x (log.f64 y) t) (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (log.f64 y)) 3) (pow.f64 t 3)) (fma.f64 t (fma.f64 x (log.f64 y) t) (pow.f64 (.f64 x (log.f64 y)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 x (log.f64 y)) 2) (.f64 t t)) (fma.f64 x (log.f64 y) t))))) (#(struct:change #<rule egg-rr> (2) ((x 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Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x (log.f64 y)) t) (*.f64 z (log1p.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (log1p.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 z (log1p.f64 y)) 1) (-.f64 (*.f64 x (log.f64 y)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2)) (cbrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) (sqrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) t) 3)) (+.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (-.f64 (pow.f64 (-.f64 (*.f64 x (log.f64 y)) t) 2) (*.f64 (*.f64 z (log1p.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2) (pow.f64 (-.f64 (*.f64 x (log.f64 y)) t) 2)) (-.f64 (*.f64 z (log1p.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (/.f64 (pow.f64 y x) (exp.f64 t)) (exp.f64 (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 y)) t))) (exp.f64 (*.f64 z (log1p.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 z (log1p.f64 y))) (+.f64 1 (expm1.f64 (-.f64 (*.f64 x (log.f64 y)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 z (log1p.f64 y) (-.f64 (*.f64 x (log.f64 y)) t))) 1))))))

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-def_binary64`
529×	`times-frac_binary64`
453×	`associate--r+_binary64`
409×	`associate-+l+_binary64`
386×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	1273
1	260	1191
2	814	1173
3	3485	1134
4	7947	1134

Stop Event

1×	node limit

Counts

228 → 182

Calls

Call 1

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

Outputs
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(+.f64 (.f64 -1 t) (.f64 (log.f64 y) x))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x)) t)
(-.f64 (fma.f64 -1 (.f64 y z) (.f64 (log.f64 y) x)) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z))) t)
(fma.f64 y (neg.f64 z) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 y z) t))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (*.f64 (log.f64 y) x))) t)
(-.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1 (.f64 y z) (.f64 (log.f64 y) x))) t)
(fma.f64 (.f64 -1/2 (.f64 y y)) z (-.f64 (fma.f64 (log.f64 y) x (*.f64 y (neg.f64 z))) t))
(-.f64 (fma.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y) (*.f64 (log.f64 y) x)) t)
(-.f64 (fma.f64 (log.f64 y) x (.f64 y (.f64 (+.f64 (*.f64 y -1/2) -1) z))) t)
(fma.f64 z (fma.f64 -1/2 (*.f64 y y) (neg.f64 y)) (fma.f64 (log.f64 y) x (neg.f64 t)))
(-.f64 (+.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))))) t)
(-.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1 (.f64 y z) (fma.f64 (log.f64 y) x (.f64 -1/3 (*.f64 z (pow.f64 y 3)))))) t)
(-.f64 (fma.f64 -1/2 (.f64 y (.f64 y z)) (-.f64 (fma.f64 (log.f64 y) x (.f64 z (.f64 -1/3 (pow.f64 y 3)))) (*.f64 y z))) t)
(-.f64 (fma.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y) (fma.f64 z (.f64 -1/3 (pow.f64 y 3)) (.f64 (log.f64 y) x))) t)
(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 z (-.f64 y (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)))) t))
(-.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))) t)
(-.f64 (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (neg.f64 (log.f64 y))) x)) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 y) (log.f64 -1)))) t)
(-.f64 (fma.f64 (log.f64 -1) z (*.f64 (log.f64 y) (+.f64 z x))) t)
(-.f64 (+.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)))) t)
(-.f64 (fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (neg.f64 (log.f64 y))) x))) t)
(-.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 z (+.f64 (log.f64 y) (log.f64 -1)))) (/.f64 z y)) t)
(-.f64 (fma.f64 (log.f64 -1) z (*.f64 (log.f64 y) (+.f64 z x))) (+.f64 (/.f64 z y) t))
(-.f64 (+.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))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (.f64 (neg.f64 (neg.f64 (log.f64 y))) x)))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 (log.f64 y) x (.f64 z (+.f64 (log.f64 y) (log.f64 -1)))) (/.f64 z y))) t)
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(-.f64 (+.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)))))) t)
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(+.f64 (.f64 (/.f64 z y) (+.f64 (/.f64 -1/3 (.f64 y y)) (+.f64 (/.f64 -1/2 y) -1))) (-.f64 (fma.f64 (log.f64 -1) z (*.f64 (log.f64 y) (+.f64 z x))) t))
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(-.f64 (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (*.f64 (neg.f64 (log.f64 (/.f64 -1 y))) z)) t)
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z)) t))
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 t)) (*.f64 (log.f64 (/.f64 -1 y)) z))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z))) t)
(-.f64 (fma.f64 (-.f64 (log.f64 y) (log.f64 -1)) z (*.f64 (log.f64 y) x)) t)
(-.f64 (+.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)))) t)
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(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))) t)
(fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (neg.f64 (+.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) t)))
(-.f64 (-.f64 (*.f64 (log.f64 y) x) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))) t)
(-.f64 (*.f64 (log.f64 y) x) (+.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) t))
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(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (+.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))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (fma.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) t)
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 (-.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))) t)))
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (.f64 (/.f64 z (.f64 y y)) (+.f64 -1/2 (/.f64 -1/3 y))) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (-.f64 (*.f64 (/.f64 (/.f64 z y) y) (+.f64 -1/2 (/.f64 -1/3 y))) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)

eval124.0ms (1.2%)

Compiler: Compiled 10002 to 3416 computations (65.8% saved)

prune100.0ms (0.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	499	14	513
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	501	14	515

Error

0.0b

Counts

515 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	11.6b	(-.f64 (*.f64 (log.f64 y) x) t)
	15.2b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 2)) (cbrt.f64 (.f64 x (log.f64 y))) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
	0.5b	(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
	34.7b	(-.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 3)) (.f64 z (log.f64 (-.f64 1 y)))) t)
▶	36.7b	(neg.f64 t)
	29.6b	(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (log.f64 y) (neg.f64 t)))
	51.4b	(*.f64 z (log1p.f64 (neg.f64 y)))
▶	0.6b	(fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
	0.5b	(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 y z) t))
▶	25.7b	(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
▶	0.1b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y))) t)
	33.1b	(fma.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
▶	37.1b	(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 y))) 2) (.f64 z (log.f64 (-.f64 1 y)))) t)
	0.6b	(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))

Compiler

Compiled 472 to 320 computations (32.2% saved)

localize26.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 69 to 34 computations (50.7% saved)

series8.0ms (0.1%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y))
1.0ms	y	@	inf	(.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y))
1.0ms	y	@	0	(.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y))
1.0ms	z	@	inf	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y)))
1.0ms	z	@	inf	(.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y))

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

684×	`log-prod_binary64`
587×	`fma-def_binary64`
346×	`pow2_binary64`
291×	`fma-neg_binary64`
237×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	32
1	260	32
2	3576	28

Stop Event

1×	node limit

Counts

2 → 93

Calls

Call 1

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

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 z (*.f64 y (fma.f64 y -1/2 -1)) (log.f64 (pow.f64 y x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (log.f64 (pow.f64 y x)) 2) (fma.f64 x (log.f64 y) (*.f64 (neg.f64 z) (*.f64 y (fma.f64 y -1/2 -1))))) (/.f64 (pow.f64 (*.f64 z (*.f64 y (fma.f64 y -1/2 -1))) 2) (fma.f64 x (log.f64 y) (*.f64 (neg.f64 z) (*.f64 y (fma.f64 y -1/2 -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 z (*.f64 y (fma.f64 y -1/2 -1)) (log.f64 (pow.f64 y x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 z (*.f64 y (fma.f64 y -1/2 -1)) (log.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 z (*.f64 y (fma.f64 y -1/2 -1)) (log.f64 (pow.f64 y x)))) (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (fma.f64 y -1/2 -1)) (log.f64 (pow.f64 y x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (*.f64 y (fma.f64 y -1/2 -1)) 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simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

531×	`distribute-rgt-neg-in_binary64`
501×	`fma-neg_binary64`
427×	`distribute-lft-neg-in_binary64`
411×	`associate-l_binary64`
367×	`associate--r-_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	877
1	92	876
2	218	876
3	632	776
4	1751	776
5	5111	776

Stop Event

1×	node limit

Counts

153 → 108

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

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

localize3.0ms (0%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (log1p.f64 (neg.f64 y)))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series13.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	z	@	0	(*.f64 z (log1p.f64 (neg.f64 y)))
1.0ms	z	@	inf	(*.f64 z (log1p.f64 (neg.f64 y)))
0.0ms	z	@	-inf	(*.f64 z (log1p.f64 (neg.f64 y)))
0.0ms	y	@	0	(*.f64 z (log1p.f64 (neg.f64 y)))
0.0ms	y	@	inf	(*.f64 z (log1p.f64 (neg.f64 y)))

rewrite47.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`pow1_binary64`
449×	`add-sqr-sqrt_binary64`
443×	`*-un-lft-identity_binary64`
430×	`add-log-exp_binary64`
429×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	119	6
2	1439	6

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 z (log1p.f64 (neg.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 z (log1p.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (log1p.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (log1p.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (log1p.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 y 1) z))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (log1p.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (log1p.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (log1p.f64 y))))))))

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-neg-in_binary64`
593×	`times-frac_binary64`
412×	`fma-neg_binary64`
390×	`associate-l_binary64`
343×	`sub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	401
1	166	356
2	482	335
3	1542	329
4	5420	329

Stop Event

1×	node limit

Counts

35 → 37

Calls

Call 1

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

Outputs
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(.f64 -1 (.f64 y z))
(neg.f64 (*.f64 z y))
(*.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)))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (neg.f64 (*.f64 z y)))
(.f64 z (+.f64 (neg.f64 y) (.f64 -1/2 (*.f64 y y))))
(.f64 z (.f64 y (+.f64 -1 (*.f64 y -1/2))))
(.f64 z (fma.f64 y (.f64 y -1/2) (neg.f64 y)))
(+.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))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1 (.f64 z y) (.f64 -1/3 (*.f64 z (pow.f64 y 3)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (.f64 z (+.f64 (neg.f64 y) (.f64 -1/3 (pow.f64 y 3)))))
(.f64 z (+.f64 (.f64 -1/3 (pow.f64 y 3)) (.f64 y (+.f64 -1 (.f64 y -1/2)))))
(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(+.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)))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/4 (.f64 z (pow.f64 y 4)) (fma.f64 -1 (.f64 z y) (.f64 -1/3 (.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1/4 (.f64 z (pow.f64 y 4)) (.f64 z (+.f64 (neg.f64 y) (*.f64 -1/3 (pow.f64 y 3))))))
(.f64 z (+.f64 (-.f64 (.f64 -1/3 (pow.f64 y 3)) y) (fma.f64 -1/2 (.f64 y y) (.f64 -1/4 (pow.f64 y 4)))))
(.f64 z (+.f64 (.f64 -1/4 (pow.f64 y 4)) (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (*.f64 y -1/3))) y)))
(.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 z (+.f64 (log.f64 -1) (log.f64 y)))
(+.f64 (.f64 -1 (/.f64 z y)) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y))))))
(fma.f64 -1 (/.f64 z y) (*.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (neg.f64 z) 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)))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (neg.f64 z) y)))
(fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 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))))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y))))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (/.f64 (.f64 z -1/3) (pow.f64 y 3))) (/.f64 z y)))
(+.f64 (.f64 z (+.f64 (log.f64 -1) (log.f64 y))) (-.f64 (.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)) (/.f64 z y)))
(fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (+.f64 (log.f64 -1) (log.f64 y)) (*.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)))))
(.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z))
(neg.f64 (*.f64 z (log.f64 (/.f64 -1 y))))
(*.f64 z (neg.f64 (log.f64 (/.f64 -1 y))))
(*.f64 z (-.f64 (log.f64 y) (log.f64 -1)))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z)) (*.f64 -1 (/.f64 z y)))
(fma.f64 -1 (*.f64 z (log.f64 (/.f64 -1 y))) (neg.f64 (/.f64 z y)))
(neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))
(*.f64 z (-.f64 (/.f64 -1 y) (log.f64 (/.f64 -1 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))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (.f64 z (log.f64 (/.f64 -1 y))) (neg.f64 (/.f64 z y))))
(fma.f64 -1/2 (/.f64 z (*.f64 y y)) (neg.f64 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))))
(-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (.f64 z (log.f64 (/.f64 -1 y))))
(fma.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y)) (*.f64 z (-.f64 (log.f64 y) (log.f64 -1))))
(+.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))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (*.f64 -1/3 (/.f64 z (pow.f64 y 3))))))
(fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (/.f64 (.f64 z -1/3) (pow.f64 y 3))))
(fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (.f64 (/.f64 z (.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2)))
(-.f64 (/.f64 (.f64 z (+.f64 -1/2 (/.f64 -1/3 y))) (.f64 y y)) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))
(-.f64 (*.f64 (/.f64 z y) (/.f64 (+.f64 -1/2 (/.f64 -1/3 y)) y)) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)))

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (*.f64 x (log.f64 y)))
✓	0.2b	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
	0.3b	(*.f64 x (log.f64 y))
	6.1b	(log.f64 (-.f64 1 y))

Compiler

Compiled 71 to 35 computations (50.7% saved)

series10.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`pow1_binary64`
540×	`add-log-exp_binary64`
540×	`log1p-expm1-u_binary64`
540×	`expm1-log1p-u_binary64`
527×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	161	14
2	1545	14

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 2)
(sqrt.f64 (*.f64 x (log.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (*.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (pow.f64 (*.f64 x (log.f64 y)) 1/4)) (pow.f64 (*.f64 x (log.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y)))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 x (log.f64 y))) (sqrt.f64 x)) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (log.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (*.f64 x (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (log.f64 y))) (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) (cbrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) (pow.f64 (*.f64 x (log.f64 y)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 x (log.f64 y))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (log.f64 y)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 x (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (log.f64 y)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 x (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (log.f64 y)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 x (log.f64 y)))))))))

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

717×	`unswap-sqr_binary64`
337×	`unsub-neg_binary64`
317×	`fma-neg_binary64`
315×	`fma-def_binary64`
304×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	196
1	45	196
2	84	196
3	206	196
4	723	196
5	2782	196
6	5445	196
7	6735	196

Stop Event

1×	node limit

Counts

74 → 56

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
✓	0.3b	(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

Compiler

Compiled 58 to 20 computations (65.5% saved)

series20.0ms (0.2%)

Counts

4 → 51

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))
2.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
2.0ms	z	@	0	(fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
2.0ms	t	@	0	(fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
1.0ms	x	@	0	(fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))

rewrite78.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`prod-diff_binary64`
673×	`log-prod_binary64`
332×	`fma-def_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	47
1	310	37
2	3813	35

Stop Event

1×	node limit

Counts

4 → 96

Calls

Call 1

Inputs
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))
(fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x))) (cbrt.f64 (exp.f64 (cbrt.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 1/6) (.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2))))) (log.f64 (cbrt.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 x (cbrt.f64 x)) (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (.f64 x x) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (log.f64 y)) (.f64 2/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (+.f64 (log.f64 (log.f64 y)) (.f64 2/3 (log.f64 x))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (.f64 (log1p.f64 y) z) t) (.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 (log1p.f64 y) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (log.f64 y) x) 1) (-.f64 (.f64 (log1p.f64 y) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t))) (cbrt.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)) 2) (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)) (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 3) (pow.f64 (-.f64 (.f64 (log1p.f64 y) z) t) 3)) (fma.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 y) x) (-.f64 (pow.f64 (-.f64 (.f64 (log1p.f64 y) z) t) 2) (.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 (log1p.f64 y) z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 y) x)) (pow.f64 (-.f64 (.f64 (log1p.f64 y) z) t) 2)) (-.f64 (.f64 (log.f64 y) x) (-.f64 (.f64 (log1p.f64 y) z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (-.f64 (.f64 (log1p.f64 y) z) t)) (exp.f64 (.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (-.f64 (.f64 (log1p.f64 y) z) t))) (exp.f64 (.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (log.f64 y) x)) (+.f64 1 (expm1.f64 (-.f64 (.f64 (log1p.f64 y) z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 y) z)) t)) 1))))))

simplify155.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-def_binary64`
447×	`associate--r+_binary64`
437×	`times-frac_binary64`
421×	`associate-+l+_binary64`
392×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1046
1	308	883
2	999	865
3	4013	828
4	7825	828

Stop Event

1×	node limit

Counts

147 → 135

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 -1 (.f64 (pow.f64 (*.f64 1 (pow.f64 x 2)) 1/3) (log.f64 (/.f64 1 y))))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)) t)
(-.f64 (.f64 1 (.f64 x (log.f64 y))) t)
(-.f64 (*.f64 x (log.f64 y)) t)
(fma.f64 x (log.f64 y) (neg.f64 t))
(-.f64 (+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))) t)
(-.f64 (fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 x (log.f64 y)))) t)
(-.f64 (-.f64 (.f64 x (log.f64 y)) (.f64 y z)) t)
(-.f64 (.f64 x (log.f64 y)) (+.f64 (.f64 y z) t))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)))) t)
(-.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1 (.f64 y z) (.f64 1 (*.f64 x (log.f64 y))))) t)
(-.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) (-.f64 (.f64 x (log.f64 y)) (.f64 y z))) t)
(fma.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y) (fma.f64 x (log.f64 y) (neg.f64 t)))
(-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 -1 (.f64 y z)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 y 3) z)) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))) t)
(-.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) (fma.f64 -1 (.f64 y z) (fma.f64 -1/3 (.f64 z (pow.f64 y 3)) (.f64 1 (.f64 x (log.f64 y)))))) t)
(-.f64 (fma.f64 -1/2 (.f64 z (.f64 y y)) (-.f64 (fma.f64 (log.f64 y) x (.f64 -1/3 (.f64 z (pow.f64 y 3)))) (*.f64 y z))) t)
(-.f64 (fma.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y) (fma.f64 x (log.f64 y) (.f64 z (.f64 -1/3 (pow.f64 y 3))))) t)
(-.f64 (fma.f64 z (.f64 y (.f64 y -1/2)) (fma.f64 z (-.f64 (.f64 -1/3 (pow.f64 y 3)) y) (.f64 x (log.f64 y)))) t)
(-.f64 (+.f64 (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 (/.f64 1 y)) x)))) t)
(-.f64 (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (.f64 -1 (.f64 x (neg.f64 (log.f64 y))))) t)
(-.f64 (fma.f64 z (+.f64 (log.f64 y) (log.f64 -1)) (*.f64 x (log.f64 y))) t)
(-.f64 (fma.f64 (log.f64 -1) z (*.f64 (log.f64 y) (+.f64 z x))) t)
(-.f64 (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 y)) x))) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))) t)
(-.f64 (fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (.f64 -1 (.f64 x (neg.f64 (log.f64 y)))))) t)
(-.f64 (-.f64 (fma.f64 z (+.f64 (log.f64 y) (log.f64 -1)) (*.f64 x (log.f64 y))) (/.f64 z y)) t)
(-.f64 (fma.f64 (log.f64 -1) z (*.f64 (log.f64 y) (+.f64 z x))) (+.f64 (/.f64 z y) t))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 z y)) (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 y)) x))) (.f64 z (+.f64 (log.f64 -1) (*.f64 -1 (log.f64 (/.f64 1 y)))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (.f64 -1 (*.f64 x (neg.f64 (log.f64 y))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 z (+.f64 (log.f64 y) (log.f64 -1)) (.f64 x (log.f64 y))) (/.f64 z y))) t)
(+.f64 (fma.f64 (log.f64 -1) z (.f64 (log.f64 y) (+.f64 z x))) (-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) t))
(-.f64 (+.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 -1 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 (/.f64 1 y)) x))) (.f64 z (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y))))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 -1 (/.f64 z y) (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))) (.f64 -1 (*.f64 x (neg.f64 (log.f64 y)))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (+.f64 (log.f64 y) (log.f64 -1)) (.f64 x (log.f64 y)))) (/.f64 z y))) t)
(+.f64 (fma.f64 -1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 (log.f64 -1) z (.f64 (log.f64 y) (+.f64 z x)))) (-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) t))
(-.f64 (+.f64 (-.f64 (fma.f64 (log.f64 -1) z (.f64 (log.f64 y) (+.f64 z x))) (/.f64 z y)) (.f64 (/.f64 z (*.f64 y y)) (+.f64 (/.f64 -1/3 y) -1/2))) t)
(-.f64 (+.f64 (.f64 (pow.f64 1 1/3) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)) (.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (fma.f64 1 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (.f64 (neg.f64 (log.f64 (/.f64 -1 y))) z)) t)
(-.f64 (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z))) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z))) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 z))) t)
(-.f64 (+.f64 (.f64 (pow.f64 1 1/3) (.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)))) t)
(-.f64 (fma.f64 1 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (fma.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z) (neg.f64 (/.f64 z y)))) t)
(-.f64 (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x (neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))) t)
(-.f64 (-.f64 (*.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))) t)
(-.f64 (fma.f64 x (log.f64 y) (neg.f64 t)) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 (pow.f64 1 1/3) (.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))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 1 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (fma.f64 -1 (*.f64 (log.f64 (/.f64 -1 y)) z) (neg.f64 (/.f64 z y))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (*.f64 y y)) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x (neg.f64 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))))) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (fma.f64 x (log.f64 y) (-.f64 (.f64 (/.f64 z y) (+.f64 -1 (/.f64 -1/2 y))) (.f64 (log.f64 (/.f64 -1 y)) z))) t)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 (pow.f64 1 1/3) (.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))))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 1 (.f64 x (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1))) (fma.f64 -1 (.f64 (log.f64 (/.f64 -1 y)) z) (fma.f64 -1 (/.f64 z y) (/.f64 (.f64 -1/3 z) (pow.f64 y 3)))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) x (fma.f64 -1 (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)) (.f64 -1/3 (/.f64 z (pow.f64 y 3)))))) t)
(-.f64 (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1/2 (/.f64 z (.f64 y y)) (-.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y))))) t)
(-.f64 (fma.f64 x (log.f64 y) (-.f64 (.f64 (/.f64 z (.f64 y y)) (+.f64 -1/2 (/.f64 -1/3 y))) (fma.f64 (log.f64 (/.f64 -1 y)) z (/.f64 z y)))) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(fma.f64 z (log.f64 (-.f64 1 y)) (neg.f64 t))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(fma.f64 z (log.f64 (-.f64 1 y)) (neg.f64 t))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(fma.f64 z (log.f64 (-.f64 1 y)) (neg.f64 t))
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x)) t)
(-.f64 (.f64 1 (.f64 x (log.f64 y))) t)
(-.f64 (*.f64 x (log.f64 y)) t)
(fma.f64 x (log.f64 y) (neg.f64 t))
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(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(-.f64 (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t)
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(-.f64 (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t)
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t)
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(-.f64 (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t)
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(-.f64 (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t)
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(*.f64 z (log.f64 (-.f64 1 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) x))) t)
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(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
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(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
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(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))

eval282.0ms (2.6%)

Compiler: Compiled 9363 to 4429 computations (52.7% saved)

prune208.0ms (1.9%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	446	15	461
Fresh	6	3	9
Picked	1	0	1
Done	2	2	4
Total	455	20	475

Error

0.0b

Counts

475 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	15.2b	(fma.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
	25.7b	(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
	37.2b	(-.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (log.f64 y)) 1/4) 2) 2) (.f64 z (log.f64 (-.f64 1 y)))) t)
	11.5b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
	51.4b	(*.f64 z (log1p.f64 (neg.f64 y)))
▶	15.0b	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
▶	26.0b	(-.f64 (*.f64 y (neg.f64 z)) t)
	15.2b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 2)) (cbrt.f64 (.f64 x (log.f64 y))) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
	24.4b	(-.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 3)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y))) t)
	29.6b	(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (log.f64 y) (neg.f64 t)))
✓	36.7b	(neg.f64 t)
	0.7b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
✓	0.1b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y))) t)
	37.2b	(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (.f64 x (log.f64 y)))) (cbrt.f64 (sqrt.f64 (.f64 x (log.f64 y))))) (.f64 z (log.f64 (-.f64 1 y)))) t)
	31.3b	(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 y))) 2) (.f64 z (neg.f64 y))) t)
	38.1b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
▶	0.5b	(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 y z) t))
	11.5b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
▶	16.2b	(-.f64 (+.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 y))) 1) (.f64 z (log.f64 (-.f64 1 y)))) t)
	11.6b	(-.f64 (*.f64 (log.f64 y) x) t)

Compiler

Compiled 740 to 504 computations (31.9% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 32 to 9 computations (71.9% saved)

series2.0ms (0%)

Counts

1 → 8

Calls

6 calls:

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

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

435×	`pow1_binary64`
414×	`add-sqr-sqrt_binary64`
409×	`*-un-lft-identity_binary64`
397×	`add-log-exp_binary64`
397×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	95	6
2	1101	6

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y x)) (cbrt.f64 (pow.f64 y x)))) (log.f64 (cbrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))))

simplify193.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

3199×	`fma-neg_binary64`
757×	`fma-def_binary64`
388×	`associate--r-_binary64`
351×	`unsub-neg_binary64`
304×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	32	80
2	62	48
3	140	48
4	280	48
5	712	48
6	1977	48
7	3019	48
8	3650	48
9	3696	48
10	3714	48
11	3716	48
12	6134	48
13	6746	48
14	7012	48
15	7099	48
16	7113	48
17	7117	48
18	7251	48
19	7259	48

Stop Event

1×	node limit

Counts

22 → 17

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)

Outputs
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) x))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 x))
(*.f64 x (log.f64 y))

localize8.0ms (0.1%)

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

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
	0.3b	(*.f64 x (log.f64 y))
✓	3.2b	(-.f64 (+.f64 1 (*.f64 x (log.f64 y))) 1)
	6.1b	(log.f64 (-.f64 1 y))

Compiler

Compiled 74 to 41 computations (44.6% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite61.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`pow1_binary64`
758×	`add-log-exp_binary64`
758×	`log1p-expm1-u_binary64`
758×	`expm1-log1p-u_binary64`
745×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	171	6
2	2330	6

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 x (log.f64 y) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 x (log.f64 y) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 y x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (log.f64 y) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (pow.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (pow.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (pow.f64 y x))) (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (pow.f64 y x))) 2) (cbrt.f64 (log.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (pow.f64 y x))) (sqrt.f64 (log.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 2) (+.f64 (log.f64 (pow.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 2) -1) (/.f64 1 (+.f64 (log.f64 (pow.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 x (log.f64 y) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 x (log.f64 y) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 2) (+.f64 (log.f64 (pow.f64 y x)) 2)) (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (log.f64 (pow.f64 y x)) 2) (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 2) (+.f64 (log.f64 (pow.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 2) (-.f64 1 (*.f64 (fma.f64 x (log.f64 y) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 2) -1) (+.f64 (log.f64 (pow.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 2) -1) (-.f64 (fma.f64 x (log.f64 y) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 2) (+.f64 (log.f64 (pow.f64 y x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (log.f64 y) 1) 2) -1)) (neg.f64 (+.f64 (log.f64 (pow.f64 y x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 x (log.f64 y) -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 x (log.f64 y) -1) (fma.f64 x (log.f64 y) -1)) (fma.f64 x (log.f64 y) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 x (log.f64 y) -1) (fma.f64 x (log.f64 y) -1))) (-.f64 1 (fma.f64 x (log.f64 y) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (pow.f64 y x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (pow.f64 y x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (pow.f64 y x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (pow.f64 y x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 (pow.f64 y x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (pow.f64 y x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (log.f64 y) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) 1)) 2) (cbrt.f64 (fma.f64 x (log.f64 y) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (log.f64 y) 1)) (sqrt.f64 (fma.f64 x (log.f64 y) 1)) -1)))))

simplify205.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

3199×	`fma-neg_binary64`
757×	`fma-def_binary64`
390×	`associate--r-_binary64`
351×	`unsub-neg_binary64`
304×	`sub-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	144
1	34	144
2	61	144
3	137	144
4	277	144
5	740	144
6	1995	144
7	3037	144
8	3664	144
9	3710	144
10	3728	144
11	3730	144
12	6149	144
13	6760	144
14	7026	144
15	7113	144
16	7127	144
17	7131	144
18	7266	144
19	7274	144

Stop Event

1×	node limit

Counts

71 → 49

Calls

Call 1

Inputs
(*.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)

Outputs
(*.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 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x)
(*.f64 (log.f64 y) x)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
✓	0.3b	(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
	0.6b	(cbrt.f64 x)
✓	30.7b	(cbrt.f64 (*.f64 x x))

Compiler

Compiled 60 to 14 computations (76.7% saved)

series13.0ms (0.1%)

Counts

3 → 51

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	t	@	0	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
2.0ms	y	@	0	(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
1.0ms	z	@	0	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
1.0ms	x	@	-inf	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
0.0ms	y	@	inf	(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

837×	`prod-diff_binary64`
684×	`log-prod_binary64`
337×	`fma-def_binary64`
247×	`expm1-udef_binary64`
247×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	304	34
2	3796	32

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 x x))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x 4))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x 4)) 1/3) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2/3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2/3 (log.f64 x)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2))))) (log.f64 (cbrt.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))) (log.f64 (sqrt.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (log.f64 y)) (*.f64 2/3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (log.f64 y)) (*.f64 2/3 (log.f64 x))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (log1p.f64 y) z) t) (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 y) x) (-.f64 (*.f64 (log1p.f64 y) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) x) 1) (-.f64 (*.f64 (log1p.f64 y) z) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) (neg.f64 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t))) (cbrt.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)) (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)) 2) (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)) (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) (pow.f64 (-.f64 (*.f64 (log1p.f64 y) z) t) 3)) (fma.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x) (-.f64 (pow.f64 (-.f64 (*.f64 (log1p.f64 y) z) t) 2) (*.f64 (*.f64 (log.f64 y) x) (-.f64 (*.f64 (log1p.f64 y) z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x) (neg.f64 (pow.f64 (-.f64 (*.f64 (log1p.f64 y) z) t) 2))) (-.f64 (*.f64 (log.f64 y) x) (-.f64 (*.f64 (log1p.f64 y) z) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (-.f64 (*.f64 (log1p.f64 y) z) t)) (exp.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (-.f64 (*.f64 (log1p.f64 y) z) t))) (exp.f64 (*.f64 (log.f64 y) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (log.f64 y) x)) (+.f64 1 (expm1.f64 (-.f64 (*.f64 (log1p.f64 y) z) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z)) t)) 1))))))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

674×	`fma-def_binary64`
447×	`associate--r+_binary64`
437×	`times-frac_binary64`
421×	`associate-+l+_binary64`
392×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1046
1	308	883
2	999	865
3	4013	828
4	7825	828

Stop Event

1×	node limit

Counts

128 → 116

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
(.f64 (pow.f64 (.f64 1 (pow.f64 x 2)) 1/3) (log.f64 y))
(.f64 (cbrt.f64 (.f64 x x)) (log.f64 y))
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(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 z (log.f64 (-.f64 1 y))) (.f64 (pow.f64 1 1/3) (.f64 (log.f64 y) x))))
(-.f64 (fma.f64 z (log.f64 (-.f64 1 y)) (.f64 1 (.f64 x (log.f64 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (fma.f64 x (log.f64 y) (neg.f64 t)))

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (pow.f64 (log.f64 y) 3) (.f64 x x))
	0.6b	(cbrt.f64 x)
✓	0.7b	(pow.f64 (log.f64 y) 3)
✓	30.8b	(cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 x x)))

Compiler

Compiled 73 to 26 computations (64.4% saved)

series11.0ms (0.1%)

Counts

3 → 44

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 x x)))
1.0ms	x	@	0	(cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 x x)))
1.0ms	y	@	-inf	(pow.f64 (log.f64 y) 3)
1.0ms	x	@	0	(.f64 (pow.f64 (log.f64 y) 3) (.f64 x x))
1.0ms	y	@	0	(pow.f64 (log.f64 y) 3)

rewrite69.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

756×	`pow1_binary64`
703×	`add-log-exp_binary64`
703×	`log1p-expm1-u_binary64`
703×	`expm1-log1p-u_binary64`
683×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	185	29
2	2026	29

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 x x)))
(pow.f64 (log.f64 y) 3)
(.f64 (pow.f64 (log.f64 y) 3) (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3/2))) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (pow.f64 x 4))) 1/3) (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (pow.f64 (log.f64 y) 3/2)) 1/3) (pow.f64 (*.f64 x (pow.f64 (log.f64 y) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 3) x) 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 y) 2) (cbrt.f64 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (log.f64 y) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (pow.f64 (log.f64 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (log.f64 y) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 2) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (log.f64 y) 3/2) (pow.f64 (log.f64 y) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) 3) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (log.f64 y)) 3) (pow.f64 (sqrt.f64 (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 y) 2) 1) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (log.f64 y) 2) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log.f64 y) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (log.f64 y) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (log.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (pow.f64 (log.f64 y) 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (log.f64 y) 6) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (log.f64 y) 3)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 y) 3) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (log.f64 y) 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x))))))))

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

493×	`neg-sub0_binary64`
478×	`neg-mul-1_binary64`
359×	`associate-+l+_binary64`
349×	`distribute-rgt-neg-in_binary64`
334×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	500
1	91	500
2	313	468
3	1399	468
4	3810	468
5	7149	468

Stop Event

1×	node limit

Counts

100 → 67

Calls

Call 1

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

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

eval294.0ms (2.7%)

Compiler: Compiled 8953 to 4027 computations (55% saved)

prune134.0ms (1.3%)

Pruning

20 alts after pruning (14 fresh and 6 done)

	Pruned	Kept	Total
New	413	8	421
Fresh	7	6	13
Picked	0	1	1
Done	1	5	6
Total	421	20	441

Error

0.0b

Counts

441 → 20

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.2b	(fma.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
	51.4b	(*.f64 z (log1p.f64 (neg.f64 y)))
▶	25.7b	(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
	37.2b	(-.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (log.f64 y)) 1/4) 2) 2) (.f64 z (log.f64 (-.f64 1 y)))) t)
✓	0.5b	(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 y z) t))
▶	38.1b	(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
	31.3b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 y) x)) 2) (+.f64 (.f64 y z) t))
✓	15.0b	(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
✓	26.0b	(-.f64 (*.f64 y (neg.f64 z)) t)
	15.2b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 2)) (cbrt.f64 (.f64 x (log.f64 y))) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
✓	36.7b	(neg.f64 t)
▶	29.6b	(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (log.f64 y) (neg.f64 t)))
✓	0.1b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y))) t)
▶	0.7b	(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
	11.5b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
▶	6.0b	(-.f64 (-.f64 (+.f64 1 (.f64 (log.f64 y) x)) 1) (+.f64 (.f64 y z) t))
	0.7b	(fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
	11.5b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
	11.6b	(-.f64 (*.f64 (log.f64 y) x) t)
	24.6b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) x) 3)) (+.f64 (.f64 y z) t))

Compiler

Compiled 638 to 442 computations (30.7% saved)

localize108.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.5b	(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))
	0.6b	(cbrt.f64 x)
✓	0.6b	(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3)

Compiler

Compiled 80 to 34 computations (57.5% saved)

series130.0ms (1.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
62.0ms	x	@	inf	(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3)
28.0ms	y	@	0	(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3)
21.0ms	x	@	0	(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3)
8.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3)
5.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3)

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
728×	`add-log-exp_binary64`
727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
709×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	224	24
2	2161	24

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3)
(cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y)))) (*.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y)))) (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) 2) 3) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y)))) 3) (pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (cbrt.f64 x)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2) 1) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2) (cbrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y))))) (cbrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x (cbrt.f64 x)) (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (log.f64 y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log.f64 y) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (pow.f64 (cbrt.f64 x) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 y)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y)))) (cbrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y))) 1/3) (pow.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 x) (sqrt.f64 (log.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y)))))))))

simplify143.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

984×	`fma-def_binary64`
641×	`unswap-sqr_binary64`
390×	`unsub-neg_binary64`
327×	`neg-sub0_binary64`
327×	`neg-mul-1_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	980
1	120	908
2	300	908
3	957	908
4	1884	764
5	4224	764
6	7230	764

Stop Event

1×	node limit

Counts

102 → 67

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 -1 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (log.f64 (/.f64 1 y)) (pow.f64 (pow.f64 x 2) 1/3))))
(.f64 -1 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (log.f64 (/.f64 1 y)) (pow.f64 (pow.f64 x 2) 1/3))))
(.f64 -1 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (log.f64 (/.f64 1 y)) (pow.f64 (pow.f64 x 2) 1/3))))
(.f64 -1 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (log.f64 (/.f64 1 y)) (pow.f64 (pow.f64 x 2) 1/3))))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3))

Outputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (log.f64 y) (.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (log.f64 y) (.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (log.f64 y) (.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (cbrt.f64 (.f64 x x)) (.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 -1) 2))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (log.f64 y) (.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 -1) 2)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (log.f64 y) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 -1 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (log.f64 (/.f64 1 y)) (pow.f64 (pow.f64 x 2) 1/3))))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 -1 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (log.f64 (/.f64 1 y)) (pow.f64 (pow.f64 x 2) 1/3))))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 -1 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (log.f64 (/.f64 1 y)) (pow.f64 (pow.f64 x 2) 1/3))))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 -1 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (*.f64 (log.f64 (/.f64 1 y)) (pow.f64 (pow.f64 x 2) 1/3))))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (pow.f64 (pow.f64 x 2) 1/3)))
(.f64 1 (.f64 (log.f64 y) (cbrt.f64 (*.f64 x x))))
(.f64 (log.f64 y) (cbrt.f64 (.f64 x x)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (log.f64 y)) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 -1) 2))))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (log.f64 y) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))))
(.f64 (cbrt.f64 -1) (.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (cbrt.f64 -1) (.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))))
(.f64 (cbrt.f64 -1) (.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (cbrt.f64 -1) (.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))))
(.f64 (cbrt.f64 -1) (.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (cbrt.f64 -1) (.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (*.f64 (cbrt.f64 -1) (pow.f64 (log.f64 (/.f64 1 y)) 1/3)))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (*.f64 (cbrt.f64 -1) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (cbrt.f64 (neg.f64 (log.f64 y))) (.f64 (cbrt.f64 -1) (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18))))
(.f64 (cbrt.f64 -1) (.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (*.f64 x x) 1/18)) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (cbrt.f64 -1) (.f64 (pow.f64 (pow.f64 (*.f64 x x) 1/36) 4) (cbrt.f64 (neg.f64 (log.f64 y)))))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (.f64 (pow.f64 1 4) (pow.f64 x 2)) 1/9) (pow.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) 1/3))
(.f64 (.f64 (pow.f64 (.f64 x x) 1/18) (pow.f64 (.f64 x x) 1/18)) (cbrt.f64 (log.f64 y)))
(.f64 (pow.f64 (pow.f64 (.f64 x x) 1/36) 4) (cbrt.f64 (log.f64 y)))

localize23.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
✓	0.0b	(.f64 (.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))
✓	0.4b	(*.f64 y -1/3)

Compiler

Compiled 68 to 39 computations (42.6% saved)

series7.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	z	@	0	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
1.0ms	y	@	inf	(.f64 (.f64 y y) (+.f64 -1/2 (*.f64 y -1/3)))
1.0ms	y	@	0	(*.f64 y -1/3)
1.0ms	y	@	inf	(*.f64 y -1/3)
1.0ms	z	@	inf	(.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))

rewrite88.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

611×	`log-prod_binary64`
529×	`fma-def_binary64`
443×	`pow-prod-down_binary64`
324×	`pow2_binary64`
235×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	251	32
2	3513	32

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) y)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) y))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/3) y))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y -1/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y -1/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y -1/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 y -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/27 (pow.f64 y 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y -1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/3) y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/27 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y -1/3)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (*.f64 y -1/2)) 1) (*.f64 (*.f64 -1/3 (pow.f64 y 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (fma.f64 y -1/3 -1/2)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (fma.f64 y -1/3 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (fma.f64 y -1/3 -1/2))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 y) (*.f64 y (fma.f64 y -1/3 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 y -1/2)) 3) (pow.f64 (*.f64 -1/3 (pow.f64 y 3)) 3)) (+.f64 (pow.f64 (*.f64 y (*.f64 y -1/2)) 2) (-.f64 (pow.f64 (*.f64 -1/3 (pow.f64 y 3)) 2) (*.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 -1/3 (pow.f64 y 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 y (*.f64 y -1/2)) 2) (pow.f64 (*.f64 -1/3 (pow.f64 y 3)) 2)) (-.f64 (*.f64 y (*.f64 y -1/2)) (*.f64 -1/3 (pow.f64 y 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -1/27 (pow.f64 y 3) -1/8) (*.f64 y y)) (fma.f64 (*.f64 y -1/3) (fma.f64 y -1/3 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/4 (pow.f64 (*.f64 y -1/3) 2)) (*.f64 y y)) (-.f64 -1/2 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y y) (fma.f64 -1/27 (pow.f64 y 3) -1/8)) (fma.f64 (*.f64 y -1/3) (fma.f64 y -1/3 1/2) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 y y) (-.f64 1/4 (pow.f64 (*.f64 y -1/3) 2))) (-.f64 -1/2 (*.f64 y -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) (*.f64 y (fma.f64 y -1/3 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 -1/3 (pow.f64 y 3))) (exp.f64 (*.f64 y (*.f64 y -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 y (*.f64 y -1/3)) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 y -1/2) (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 y (*.f64 -1/3 (*.f64 y y)) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/3 (pow.f64 y 3) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y -1/3) (*.f64 y y) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) (*.f64 y -1/3) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y y) -1/2 (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1/2 (*.f64 y y) (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 y (*.f64 y -1/2)) (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -1/3 (pow.f64 y 3)) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 y) y) (*.f64 (pow.f64 (cbrt.f64 y) 2) -1/2) (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 y) y) (*.f64 (pow.f64 (cbrt.f64 y) 2) (*.f64 y -1/3)) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y -1/3)) 2) (*.f64 (cbrt.f64 (*.f64 y -1/3)) (*.f64 y y)) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y -1/3)) (*.f64 (sqrt.f64 (*.f64 y -1/3)) (*.f64 y y)) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 y 3) -1/3 (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 y -1/2)) 1 (*.f64 (*.f64 -1/3 (pow.f64 y 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 y (*.f64 y -1/2))) 2) (cbrt.f64 (*.f64 y (*.f64 y -1/2))) (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -1/3 (pow.f64 y 3))) 2) (cbrt.f64 (*.f64 -1/3 (pow.f64 y 3))) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 y (*.f64 y -1/2))) (sqrt.f64 (*.f64 y (*.f64 y -1/2))) (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (sqrt.f64 (*.f64 y -1/3))) (*.f64 y (sqrt.f64 (*.f64 y -1/3))) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -1/3) y) y (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 y) y (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1/2 (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) 2) (*.f64 -1/3 (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) -1/3) y (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (*.f64 y (cbrt.f64 (*.f64 y -1/3))) 2) (cbrt.f64 (*.f64 y -1/3)) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y y) (sqrt.f64 (*.f64 y -1/3))) (sqrt.f64 (*.f64 y -1/3)) (*.f64 y (*.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 y -1/3) (*.f64 (cbrt.f64 y) y)) (pow.f64 (cbrt.f64 y) 2) (*.f64 y (*.f64 y -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) z) (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 z (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2)))) (*.f64 z (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 z) (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 z) (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 6) (pow.f64 y 3)) z) (fma.f64 y (fma.f64 y (*.f64 y (fma.f64 y -1/3 -1/2)) y) (pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 4) (*.f64 y y)) z) (fma.f64 y (*.f64 y (fma.f64 y -1/3 -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 6) (pow.f64 y 3))) (fma.f64 y (fma.f64 y (*.f64 y (fma.f64 y -1/3 -1/2)) y) (pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 z (-.f64 (pow.f64 (*.f64 y (sqrt.f64 (fma.f64 y -1/3 -1/2))) 4) (*.f64 y y))) (fma.f64 y (*.f64 y (fma.f64 y -1/3 -1/2)) y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 z) (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 z (-.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) y))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) z (*.f64 (neg.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 z (*.f64 y (*.f64 y (fma.f64 y -1/3 -1/2))) (*.f64 z (neg.f64 y)))))))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

513×	`distribute-rgt-out_binary64`
407×	`cancel-sign-sub-inv_binary64`
390×	`distribute-rgt-neg-in_binary64`
388×	`fma-neg_binary64`
337×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	583
1	74	543
2	185	541
3	563	503
4	2182	503
5	5537	503

Stop Event

1×	node limit

Counts

144 → 113

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (-.f64 (+.f64 1 (.f64 (log.f64 y) x)) 1) (+.f64 (.f64 y z) t))
	0.3b	(*.f64 (log.f64 y) x)
✓	3.2b	(-.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)

Compiler

Compiled 51 to 20 computations (60.8% saved)

series13.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	y	@	-inf	(-.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)
1.0ms	z	@	-inf	(-.f64 (-.f64 (+.f64 1 (.f64 (log.f64 y) x)) 1) (+.f64 (.f64 y z) t))
1.0ms	t	@	0	(-.f64 (-.f64 (+.f64 1 (.f64 (log.f64 y) x)) 1) (+.f64 (.f64 y z) t))
1.0ms	z	@	0	(-.f64 (-.f64 (+.f64 1 (.f64 (log.f64 y) x)) 1) (+.f64 (.f64 y z) t))
1.0ms	z	@	inf	(-.f64 (-.f64 (+.f64 1 (.f64 (log.f64 y) x)) 1) (+.f64 (.f64 y z) t))

rewrite148.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

666×	`log-prod_binary64`
571×	`fma-neg_binary64`
250×	`expm1-udef_binary64`
250×	`log1p-udef_binary64`
199×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	295	19
2	4541	19

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (log.f64 y) x -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (log.f64 y) x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) x 1) -1)))) (#(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 -1 (fma.f64 (log.f64 y) x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log.f64 y) x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y x)) (cbrt.f64 (pow.f64 y x)))) (log.f64 (cbrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 y x))) (log.f64 (sqrt.f64 (pow.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (log.f64 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (log.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 2) (cbrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (*.f64 (cbrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 y)) (*.f64 (sqrt.f64 (log.f64 y)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 (log1p.f64 (*.f64 (log.f64 y) x)) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (+.f64 (*.f64 (log.f64 y) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) -1) (/.f64 1 (+.f64 (*.f64 (log.f64 y) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 (log.f64 y) x 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (log.f64 y) x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 (log.f64 y) x 1) 2) (+.f64 (*.f64 (log.f64 y) x) 2)) (expm1.f64 (*.f64 (log1p.f64 (*.f64 (log.f64 y) x)) 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(2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (*.f64 (log.f64 y) x) (fma.f64 (log.f64 y) x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 (log.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (log.f64 y) x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (log.f64 y) x 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 (log.f64 y) x 1)) (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x 1)) 2) (cbrt.f64 (fma.f64 (log.f64 y) x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (log.f64 y) x 1)) 2) (*.f64 (cbrt.f64 (fma.f64 (log.f64 y) x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) x 1)) (sqrt.f64 (fma.f64 (log.f64 y) x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (log.f64 y) x 1)) (*.f64 (sqrt.f64 (fma.f64 (log.f64 y) x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (pow.f64 (*.f64 (log.f64 y) x) 3)) (/.f64 1 (+.f64 1 (*.f64 (*.f64 (log.f64 y) x) (fma.f64 (log.f64 y) x -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (pow.f64 (*.f64 (log.f64 y) x) 2)) (/.f64 1 (-.f64 1 (*.f64 (log.f64 y) x))) -1)))))

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

simplify279.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

3809×	`fma-def_binary64`
750×	`distribute-rgt-in_binary64`
614×	`unsub-neg_binary64`
597×	`distribute-lft-in_binary64`
528×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	763
1	104	691
2	216	691
3	555	691
4	1248	691
5	2589	691
6	4660	691
7	5254	691
8	5521	691
9	5599	691
10	5618	691
11	5621	691
12	5809	691
13	6943	691
14	7277	691
15	7365	691
16	7407	691
17	7427	691
18	7665	691
19	7785	691
20	7821	691

Stop Event

1×	node limit

Counts

241 → 187

Calls

Call 1

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

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
✓	0.2b	(*.f64 (log.f64 y) (sqrt.f64 x))
✓	0.2b	(.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
	6.1b	(log.f64 (-.f64 1 y))

Compiler

Compiled 71 to 29 computations (59.2% saved)

series7.0ms (0.1%)

Counts

2 → 32

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 (log.f64 y) (sqrt.f64 x))
1.0ms	x	@	-inf	(.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
1.0ms	x	@	0	(*.f64 (log.f64 y) (sqrt.f64 x))
1.0ms	x	@	-inf	(*.f64 (log.f64 y) (sqrt.f64 x))
1.0ms	y	@	0	(*.f64 (log.f64 y) (sqrt.f64 x))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

614×	`pow1_binary64`
563×	`add-log-exp_binary64`
563×	`log1p-expm1-u_binary64`
563×	`expm1-log1p-u_binary64`
549×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	136	14
2	1596	14

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (log.f64 y) (sqrt.f64 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (log.f64 y) (sqrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (sqrt.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (sqrt.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (pow.f64 (log.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (sqrt.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (sqrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (sqrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) (sqrt.f64 x))))))))

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

563×	`unsub-neg_binary64`
461×	`fma-def_binary64`
363×	`fma-neg_binary64`
302×	`distribute-rgt-in_binary64`
300×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	26	240
1	59	240
2	150	208
3	351	208
4	1117	208
5	3577	208
6	6107	208
7	7445	208

Stop Event

1×	node limit

Counts

54 → 29

Calls

Call 1

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

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

localize17.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (log.f64 y) (neg.f64 t)))
✓	0.1b	(fma.f64 x (log.f64 y) (neg.f64 t))
✓	0.1b	(*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z))

Compiler

Compiled 46 to 12 computations (73.9% saved)

series17.0ms (0.2%)

Counts

3 → 85

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	(*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z))
1.0ms	z	@	-inf	(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (log.f64 y) (neg.f64 t)))
1.0ms	z	@	inf	(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (log.f64 y) (neg.f64 t)))
1.0ms	z	@	-inf	(*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z))
1.0ms	z	@	0	(*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z))

rewrite87.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`log-prod_binary64`
340×	`pow-prod-down_binary64`
319×	`prod-diff_binary64`
281×	`pow2_binary64`
209×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	43
1	257	30
2	3119	28

Stop Event

1×	node limit

Counts

3 → 139

Calls

Call 1

Inputs
(*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z))
(fma.f64 x (log.f64 y) (neg.f64 t))
(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (log.f64 y) (neg.f64 t)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (log1p.f64 y) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 y 1) (sqrt.f64 z))) 2)) (log.f64 (cbrt.f64 (pow.f64 (+.f64 y 1) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (+.f64 y 1) (sqrt.f64 z)))) (log.f64 (sqrt.f64 (pow.f64 (+.f64 y 1) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 z (pow.f64 (log1p.f64 y) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 z (pow.f64 (log1p.f64 y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 y 1) (sqrt.f64 z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (log1p.f64 y) (sqrt.f64 z))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 t (*.f64 x (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) t) (fma.f64 -1 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) t) (fma.f64 1 t t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) t) (fma.f64 t 1 t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) t) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 t) 2)) (cbrt.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) t) (fma.f64 (neg.f64 (cbrt.f64 t)) (pow.f64 (cbrt.f64 t) 2) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) t) (fma.f64 (neg.f64 (sqrt.f64 t)) (sqrt.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) t) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 t))) (sqrt.f64 t) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) t) (fma.f64 t -1 t))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (log.f64 y) t) (*.f64 (log1p.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log1p.f64 y) z) (fma.f64 x (log.f64 y) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log1p.f64 y) z) 1) (fma.f64 x (log.f64 y) t))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (log1p.f64 y) z (*.f64 x (log.f64 y))) t)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))) (pow.f64 (cbrt.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))) 2) (cbrt.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))) (sqrt.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 y) z) 3) (pow.f64 (fma.f64 x (log.f64 y) t) 3)) (+.f64 (pow.f64 (*.f64 (log1p.f64 y) z) 2) (-.f64 (pow.f64 (fma.f64 x (log.f64 y) t) 2) (*.f64 (*.f64 (log1p.f64 y) z) (fma.f64 x (log.f64 y) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 y) z) 2) (pow.f64 (fma.f64 x (log.f64 y) t) 2)) (-.f64 (*.f64 (log1p.f64 y) z) (fma.f64 x (log.f64 y) t)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (*.f64 (pow.f64 y x) (exp.f64 t)) (pow.f64 (+.f64 y 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 y) t))) (pow.f64 (+.f64 y 1) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (+.f64 y 1) z) (+.f64 1 (expm1.f64 (fma.f64 x (log.f64 y) t)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (log1p.f64 y) z (fma.f64 x (log.f64 y) t))) 1) 1))))))

simplify84.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

510×	`associate-+l+_binary64`
500×	`sub-neg_binary64`
483×	`unsub-neg_binary64`
354×	`associate-+r+_binary64`
341×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	1483
1	390	1323
2	1312	1284
3	4752	1243

Stop Event

1×	node limit

Counts

224 → 200

Calls

Call 1

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

Outputs
(.f64 -1 (.f64 y (sqrt.f64 z)))
(neg.f64 (*.f64 y (sqrt.f64 z)))
(*.f64 y (neg.f64 (sqrt.f64 z)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (.f64 -1 (.f64 y (sqrt.f64 z))))
(fma.f64 -1/2 (.f64 (sqrt.f64 z) (.f64 y y)) (neg.f64 (*.f64 y (sqrt.f64 z))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 -1/2 (*.f64 y y)) (neg.f64 y)))
(.f64 (sqrt.f64 z) (-.f64 (.f64 y (*.f64 y -1/2)) y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (.f64 -1 (.f64 y (sqrt.f64 z))) (.f64 -1/3 (.f64 (pow.f64 y 3) (sqrt.f64 z)))))
(fma.f64 -1/2 (.f64 (sqrt.f64 z) (.f64 y y)) (fma.f64 -1 (.f64 y (sqrt.f64 z)) (.f64 (*.f64 -1/3 (pow.f64 y 3)) (sqrt.f64 z))))
(fma.f64 -1/2 (.f64 y (.f64 y (sqrt.f64 z))) (.f64 (sqrt.f64 z) (+.f64 (neg.f64 y) (.f64 -1/3 (pow.f64 y 3)))))
(.f64 (sqrt.f64 z) (+.f64 (.f64 y (.f64 y -1/2)) (-.f64 (.f64 -1/3 (pow.f64 y 3)) y)))
(.f64 (sqrt.f64 z) (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 y 2) (sqrt.f64 z))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 y 4) (sqrt.f64 z))) (+.f64 (.f64 -1 (.f64 y (sqrt.f64 z))) (.f64 -1/3 (.f64 (pow.f64 y 3) (sqrt.f64 z))))))
(fma.f64 -1/2 (.f64 (sqrt.f64 z) (.f64 y y)) (fma.f64 -1/4 (.f64 (sqrt.f64 z) (pow.f64 y 4)) (fma.f64 -1 (.f64 y (sqrt.f64 z)) (.f64 (.f64 -1/3 (pow.f64 y 3)) (sqrt.f64 z)))))
(+.f64 (.f64 (sqrt.f64 z) (+.f64 (neg.f64 y) (.f64 -1/3 (pow.f64 y 3)))) (.f64 (sqrt.f64 z) (+.f64 (.f64 -1/2 (.f64 y y)) (.f64 -1/4 (pow.f64 y 4)))))
(.f64 (sqrt.f64 z) (+.f64 (-.f64 (.f64 -1/3 (pow.f64 y 3)) y) (+.f64 (.f64 y (.f64 y -1/2)) (*.f64 -1/4 (pow.f64 y 4)))))
(.f64 (sqrt.f64 z) (+.f64 (log.f64 -1) (.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 (sqrt.f64 z) (+.f64 (log.f64 -1) (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 (sqrt.f64 z) (+.f64 (log.f64 -1) (log.f64 y)))
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(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 (fma.f64 -1 (log.f64 (/.f64 -1 y)) (log.f64 -1)) x (fma.f64 -1 (.f64 z (log.f64 (/.f64 -1 y))) (fma.f64 -1 (/.f64 z y) (/.f64 (*.f64 -1/3 z) (pow.f64 y 3)))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (fma.f64 -1 (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y)) (/.f64 (.f64 z -1/3) (pow.f64 y 3))))) t)
(-.f64 (fma.f64 -1/2 (/.f64 z (.f64 y y)) (fma.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) (-.f64 (.f64 -1/3 (/.f64 z (pow.f64 y 3))) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))))) t)
(+.f64 (-.f64 (.f64 (log.f64 y) x) t) (-.f64 (.f64 (/.f64 z (*.f64 y y)) (+.f64 -1/2 (/.f64 -1/3 y))) (fma.f64 z (log.f64 (/.f64 -1 y)) (/.f64 z y))))
(-.f64 (*.f64 (log.f64 y) x) t)
(fma.f64 (log.f64 y) x (neg.f64 t))
(-.f64 (*.f64 z (log.f64 (-.f64 1 y))) t)
(fma.f64 z (log.f64 (-.f64 1 y)) (neg.f64 t))
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (neg.f64 t))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(*.f64 (log.f64 y) x)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 (log.f64 y) x) (.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y))))
(fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(*.f64 -1 t)
(neg.f64 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 z (log.f64 (-.f64 1 y)))))
(-.f64 (fma.f64 (log.f64 y) x (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (log.f64 y) x (-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t))
(-.f64 (fma.f64 z (log1p.f64 (neg.f64 y)) (*.f64 (log.f64 y) x)) t)

eval317.0ms (3%)

Compiler: Compiled 17154 to 7049 computations (58.9% saved)

prune234.0ms (2.2%)

Pruning

22 alts after pruning (16 fresh and 6 done)

	Pruned	Kept	Total
New	775	12	787
Fresh	5	4	9
Picked	1	0	1
Done	4	6	10
Total	785	22	807

Error

0.0b

Counts

807 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	15.2b	(fma.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
	0.9b	(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (+.f64 (*.f64 y z) t))
	51.4b	(*.f64 z (log1p.f64 (neg.f64 y)))
✓	25.7b	(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
	25.7b	(-.f64 (.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y)) t)
	0.6b	(fma.f64 (.f64 (.f64 (log.f64 y) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
	38.3b	(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (sqrt.f64 x))) 3) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
	31.3b	(-.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 y) x)) 2) (+.f64 (.f64 y z) t))
✓	26.0b	(-.f64 (*.f64 y (neg.f64 z)) t)
	15.2b	(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 2)) (cbrt.f64 (.f64 x (log.f64 y))) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
	24.6b	(-.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) x) 3)) (+.f64 (.f64 y z) t))
	0.7b	(fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
	33.2b	(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (*.f64 y z) t))
✓	0.1b	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y))) t)
	43.4b	(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (neg.f64 t))
	0.9b	(-.f64 (.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (+.f64 (*.f64 y z) t))
	26.4b	(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
✓	6.0b	(-.f64 (-.f64 (+.f64 1 (.f64 (log.f64 y) x)) 1) (+.f64 (.f64 y z) t))
✓	36.7b	(neg.f64 t)
	51.7b	(*.f64 z (neg.f64 y))
	11.6b	(-.f64 (*.f64 (log.f64 y) x) t)
	0.9b	(-.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (+.f64 (*.f64 y z) t))

Compiler

Compiled 372 to 251 computations (32.5% saved)

regimes717.0ms (6.7%)

Counts

51 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(-.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 (.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y)) t)
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 y z) t))
(-.f64 (-.f64 (+.f64 1 (.f64 (log.f64 y) x)) 1) (+.f64 (.f64 y z) t))
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 y))) 1) (.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) x) 3)) (+.f64 (.f64 y z) t))
(-.f64 (pow.f64 (sqrt.f64 (.f64 (log.f64 y) x)) 2) (+.f64 (.f64 y z) t))
(-.f64 (cbrt.f64 (pow.f64 (.f64 (log.f64 y) x) 3)) (+.f64 (.f64 y z) t))
(-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (*.f64 y z) t))
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 y))) 2) (.f64 z (neg.f64 y))) t)
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 3)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y))) t)
(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (neg.f64 t))
(-.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (+.f64 (*.f64 y z) t))
(-.f64 (.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) (+.f64 (*.f64 y z) t))
(-.f64 (+.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 3)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (pow.f64 (sqrt.f64 (.f64 x (log.f64 y))) 2) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
(-.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (+.f64 (*.f64 y z) t))
(fma.f64 (.f64 (log.f64 y) (cbrt.f64 (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (pow.f64 (pow.f64 (pow.f64 (.f64 x (log.f64 y)) 1/4) 2) 2) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y))) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (*.f64 (log1p.f64 (neg.f64 y)) (sqrt.f64 z)) (sqrt.f64 z) (fma.f64 x (log.f64 y) (neg.f64 t)))
(fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y)) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
(fma.f64 (.f64 (.f64 (log.f64 y) (cbrt.f64 x)) (cbrt.f64 x)) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 3) (.f64 x x))) (cbrt.f64 x) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (.f64 (log.f64 y) (sqrt.f64 x))) 3) (sqrt.f64 x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x)) (*.f64 z (log.f64 (-.f64 1 y)))) t)
(fma.f64 (pow.f64 (cbrt.f64 (log.f64 y)) 2) (.f64 (cbrt.f64 (log.f64 y)) x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
(fma.f64 (cbrt.f64 (pow.f64 (.f64 x (log.f64 y)) 2)) (cbrt.f64 (.f64 x (log.f64 y))) (-.f64 (*.f64 (log1p.f64 (neg.f64 y)) z) t))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
(fma.f64 (.f64 (log.f64 y) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) 3)) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 x) 2) (log.f64 y))) 3) (cbrt.f64 x) (-.f64 (.f64 (log1p.f64 (neg.f64 y)) z) t))
(-.f64 (+.f64 (.f64 (.f64 (sqrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (.f64 x (log.f64 y)))) (cbrt.f64 (sqrt.f64 (.f64 x (log.f64 y))))) (.f64 z (log.f64 (-.f64 1 y)))) t)

Outputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))

Calls

7 calls:

168.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
109.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
104.0ms	x
101.0ms	t
69.0ms	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))))`
0.1b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`

Compiler

Compiled 790 to 307 computations (61.1% saved)

regimes183.0ms (1.7%)

Counts

18 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(-.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 (.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y)) t)
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 y z) t))
(-.f64 (-.f64 (+.f64 1 (.f64 (log.f64 y) x)) 1) (+.f64 (.f64 y z) t))
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (-.f64 (+.f64 1 (.f64 x (log.f64 y))) 1) (.f64 z (log.f64 (-.f64 1 y)))) t)

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

Calls

7 calls:

45.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
23.0ms	t
23.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))
22.0ms	z
21.0ms	(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)

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))))`
0.1b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`

Compiler

Compiled 227 to 114 computations (49.8% saved)

regimes88.0ms (0.8%)

Counts

15 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(-.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 (.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y)) t)
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))
(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 y z) t))
(-.f64 (-.f64 (+.f64 1 (.f64 (log.f64 y) x)) 1) (+.f64 (.f64 y z) t))

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

Calls

4 calls:

27.0ms	x
18.0ms	t
18.0ms	z
17.0ms	y

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`y`
0.5b	1	`z`
0.5b	1	`t`

Compiler

Compiled 134 to 56 computations (58.2% saved)

regimes385.0ms (3.6%)

Counts

13 → 3

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(-.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 (.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y)) t)
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (*.f64 z (log1p.f64 (neg.f64 y))) t)
(-.f64 (.f64 (log.f64 y) x) (.f64 y z))

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

Calls

4 calls:

116.0ms	y
97.0ms	z
63.0ms	t
58.0ms	x

Results

Error	Segments	Branch
5.2b	3	`x`
9.0b	4	`y`
7.1b	3	`z`
5.5b	3	`t`

Compiler

Compiled 110 to 49 computations (55.5% saved)

bsearch176.0ms (1.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
106.0ms	1.9915122738269939e-144	2.5984427008221868e-142
69.0ms	-2.690339324526891e-176	-2.4466106302383978e-178

Compiler

Compiled 24 to 18 computations (25% saved)

regimes57.0ms (0.5%)

Counts

8 → 1

Calls

Call 1

Inputs
(neg.f64 t)
(*.f64 z (neg.f64 y))
(-.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 (.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y)) t)
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))
(*.f64 z (log1p.f64 (neg.f64 y)))

Outputs
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)

Calls

4 calls:

15.0ms	z
13.0ms	x
13.0ms	t
12.0ms	y

Results

Error	Segments	Branch
25.7b	1	`x`
25.7b	1	`y`
25.7b	1	`z`
25.7b	1	`t`

Compiler

Compiled 77 to 43 computations (44.2% saved)

regimes42.0ms (0.4%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	x
10.0ms	t
9.0ms	z
9.0ms	y

Results

Error	Segments	Branch
25.7b	1	`x`
25.7b	1	`y`
25.7b	1	`z`
25.7b	1	`t`

Compiler

Compiled 47 to 32 computations (31.9% saved)

regimes40.0ms (0.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	z
11.0ms	x
8.0ms	t
8.0ms	y

Results

Error	Segments	Branch
26.0b	1	`x`
26.0b	1	`y`
26.0b	1	`z`
26.0b	1	`t`

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes111.0ms (1%)

Accuracy

Total -31.4b remaining (-101.3%)

Threshold costs -31.4b (-101.3%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

4 calls:

35.0ms	y
30.0ms	t
21.0ms	z
21.0ms	x

Results

Error	Segments	Branch
35.2b	3	`x`
33.5b	5	`y`
32.1b	3	`z`
31.0b	3	`t`

Compiler

Compiled 30 to 23 computations (23.3% saved)

bsearch208.0ms (1.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
107.0ms	2.4163460429369672e-42	2.7930690256398942e-33
101.0ms	-2.324160444056339e-21	-7.496017494360166e-26

Compiler

Compiled 24 to 18 computations (25% saved)

simplify23.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`+-commutative_binary64`
15×	`*-commutative_binary64`
14×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	182
1	85	182
2	103	182
3	111	182
4	113	182

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y))) t)
(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 y z) t))
(if (<=.f64 x -7671570880879843/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) (-.f64 (.f64 (log.f64 y) x) t) (if (<=.f64 x 218741260759823/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t) (-.f64 (.f64 (log.f64 y) x) t)))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(-.f64 (.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y)) t)
(-.f64 (*.f64 y (neg.f64 z)) t)
(if (<=.f64 t -6178678257871175/2658455991569831745807614120560689152) (neg.f64 t) (if (<=.f64 t 1895956242426797/784637716923335095479473677900958302012794430558004314112) (*.f64 z (neg.f64 y)) (neg.f64 t)))
(neg.f64 t)

Outputs
(fma.f64 z (log1p.f64 (neg.f64 y)) (-.f64 (*.f64 x (log.f64 y)) t))
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y))) t)
(-.f64 (+.f64 (.f64 z (-.f64 (.f64 y (.f64 y -1/2)) y)) (.f64 x (log.f64 y))) t)
(-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 y z) t))
(-.f64 (.f64 x (log.f64 y)) (+.f64 t (.f64 z y)))
(if (<=.f64 x -7671570880879843/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) (-.f64 (.f64 (log.f64 y) x) t) (if (<=.f64 x 218741260759823/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t) (-.f64 (.f64 (log.f64 y) x) t)))
(if (<=.f64 x -7671570880879843/285152538601387201165073225356268207805826781703034995661199532368704697950542336656619550707335712486165144348349650456918044045085964874890791332482638386765749667147516559380179637015412736) (-.f64 (.f64 x (log.f64 y)) t) (if (<=.f64 x 218741260759823/109836762562089755439710412785302291476310964802292886550311415346968690934362496833960954250583272879636740982263693728593951807995466301001184452657840914432) (-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t) (-.f64 (.f64 x (log.f64 y)) t)))
(-.f64 (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 -1/2 (.f64 y -1/3))) y)) t)
(-.f64 (.f64 z (-.f64 (.f64 y (*.f64 y -1/2)) y)) t)
(-.f64 (*.f64 y (neg.f64 z)) t)
(-.f64 (*.f64 z (neg.f64 y)) t)
(if (<=.f64 t -6178678257871175/2658455991569831745807614120560689152) (neg.f64 t) (if (<=.f64 t 1895956242426797/784637716923335095479473677900958302012794430558004314112) (*.f64 z (neg.f64 y)) (neg.f64 t)))
(neg.f64 t)

Compiler

Compiled 158 to 102 computations (35.4% saved)

soundness231.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-neg_binary64`
314×	`fma-def_binary64`
173×	`distribute-rgt-in_binary64`
134×	`unsub-neg_binary64`
124×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	25	17
2	46	17
3	75	17
4	123	17
5	200	17
6	376	17
7	719	17
8	1278	17
9	2030	17
10	2713	17
11	2989	17
12	3005	17
13	3005	17

Stop Event

1×

saturated

Compiler

Compiled 136 to 96 computations (29.4% saved)

end71.0ms (0.7%)

Compiler: Compiled 126 to 58 computations (54% saved)