Details

analyze627.0ms (12.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	93.6%	6.4%	6
0%	37.4%	62.6%	7
0%	34.3%	65.7%	8
0%	34.3%	65.7%	9
0%	32%	68%	10
2.3%	26.1%	71.5%	11
3.5%	24%	72.5%	12
5.3%	22.2%	72.5%	13
6.1%	20.7%	73.2%	14

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample2.6s (52.2%)

Results

1.3s	6281×	body	128	valid
462.0ms	844×	body	512	valid
461.0ms	512×	body	1024	valid
206.0ms	617×	body	256	valid
118.0ms	674×	body	128	invalid
2.0ms	2×	body	2048	valid

preprocess42.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

652×	`fma-neg_binary64`
494×	`+-commutative_binary64`
423×	`associate-+l-_binary64`
383×	`fma-def_binary64`
283×	`associate-+l+_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	168
1	111	161
2	293	161
3	919	161
4	2268	161
5	4942	161
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 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (-.f64 y 1) (log.f64 x)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 x)))) t)
(-.f64 (+.f64 (.f64 (-.f64 z 1) (log.f64 y)) (.f64 (-.f64 x 1) (log.f64 (-.f64 1 y)))) t)
(-.f64 (+.f64 (.f64 (-.f64 t 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) x)
(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 z)) (.f64 (-.f64 y 1) (log.f64 (-.f64 1 z)))) t)
(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 t)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 t)))) y)
(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 t 1) (log.f64 (-.f64 1 y)))) z)

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

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify37.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

576×	`fma-def_binary64`
542×	`fma-neg_binary64`
346×	`cancel-sign-sub-inv_binary64`
330×	`sub-neg_binary64`
258×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	31	23
2	65	23
3	167	23
4	373	23
5	1011	23
6	2426	23
7	4408	23
8	4882	23

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 36 to 25 computations (30.6% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t))
✓	0.1b	(fma.f64 (log.f64 y) (-.f64 1 x) t)

series78.0ms (1.6%)

Counts

2 → 84

Calls

21 calls:

Time	Variable		Point	Expression
24.0ms	y	@	0	(fma.f64 (log.f64 y) (-.f64 1 x) t)
24.0ms	y	@	-inf	(fma.f64 (log.f64 y) (-.f64 1 x) t)
7.0ms	y	@	inf	(fma.f64 (log.f64 y) (-.f64 1 x) t)
5.0ms	z	@	0	(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t))
3.0ms	x	@	0	(fma.f64 (log.f64 y) (-.f64 1 x) t)

rewrite48.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

496×	`prod-diff_binary64`
227×	`expm1-udef_binary64`
225×	`log1p-udef_binary64`
138×	`add-sqr-sqrt_binary64`
136×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	268	29
2	3401	29

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

Outputs

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

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

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-neg_binary64`
668×	`fma-def_binary64`
597×	`associate-+l+_binary64`
516×	`associate-+r+_binary64`
206×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1809
1	297	1656
2	1022	1472
3	4597	1472

Stop Event

1×	node limit

Counts

131 → 93

Calls

Call 1

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

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

eval36.0ms (0.7%)

Compiler: Compiled 2061 to 1279 computations (37.9% saved)

prune85.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	4	94

Error

0.1b

Counts

94 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	42.4b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2)))
✓	0.1b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t)))
▶	0.1b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (.f64 (log.f64 y) x)) (+.f64 t (log.f64 y)))))
	35.0b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t) 3))))

Compiler

Compiled 153 to 114 computations (25.5% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 (.f64 (log.f64 y) x)) (+.f64 t (log.f64 y)))
✓	0.0b	(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (.f64 (log.f64 y) x)) (+.f64 t (log.f64 y))))
✓	0.3b	(*.f64 (log.f64 y) x)

series32.0ms (0.7%)

Counts

3 → 70

Calls

27 calls:

Time	Variable		Point	Expression
16.0ms	x	@	0	(*.f64 (log.f64 y) x)
5.0ms	y	@	inf	(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (.f64 (log.f64 y) x)) (+.f64 t (log.f64 y))))
1.0ms	y	@	-inf	(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (.f64 (log.f64 y) x)) (+.f64 t (log.f64 y))))
1.0ms	x	@	inf	(*.f64 (log.f64 y) x)
1.0ms	y	@	-inf	(+.f64 (.f64 -1 (.f64 (log.f64 y) x)) (+.f64 t (log.f64 y)))

rewrite61.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

269×	`log1p-udef_binary64`
173×	`add-sqr-sqrt_binary64`
171×	`pow1_binary64`
170×	`*-un-lft-identity_binary64`
160×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	338	43
2	4677	43

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

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

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

Outputs

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

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

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

simplify57.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

470×	`+-commutative_binary64`
466×	`unsub-neg_binary64`
279×	`associate-+r-_binary64`
276×	`associate-+l-_binary64`
229×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	109	1893
1	384	1673
2	1517	1476
3	4175	1428

Stop Event

1×	node limit

Counts

154 → 133

Calls

Call 1

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

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

eval44.0ms (0.9%)

Compiler: Compiled 3280 to 1496 computations (54.4% saved)

prune164.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	133	4	137

Error

0.1b

Counts

137 → 4

Alt Table

Click to see full alt table

Status	Error	Program
	42.4b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (pow.f64 (sqrt.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t)) 2)))
▶	21.5b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))) (+.f64 t (log.f64 y)))))
✓	0.1b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t)))
	35.0b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t) 3))))

Compiler

Compiled 163 to 124 computations (23.9% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))) (+.f64 t (log.f64 y))))
✓	0.5b	(*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3))
✓	0.7b	(pow.f64 (log.f64 y) 3)
✓	40.7b	(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))

series38.0ms (0.8%)

Counts

4 → 104

Calls

27 calls:

Time	Variable		Point	Expression
24.0ms	x	@	-inf	(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))
1.0ms	x	@	0	(*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3))
1.0ms	y	@	0	(*.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3))
1.0ms	y	@	-inf	(pow.f64 (log.f64 y) 3)
1.0ms	y	@	0	(pow.f64 (log.f64 y) 3)

rewrite37.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

205×	`add-sqr-sqrt_binary64`
201×	`pow1_binary64`
198×	`*-un-lft-identity_binary64`
191×	`add-cbrt-cube_binary64`
191×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	47
1	431	44

Stop Event

1×	node limit

Counts

4 → 91

Calls

Call 1

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

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

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

479×	`+-commutative_binary64`
314×	`associate-l_binary64`
300×	`associate-r_binary64`
279×	`associate-+r-_binary64`
257×	`associate-+l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	2274
1	426	2076
2	1717	1913

Stop Event

1×	node limit

Counts

195 → 148

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

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

eval75.0ms (1.5%)

Compiler: Compiled 3730 to 1969 computations (47.2% saved)

prune218.0ms (4.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	145	3	148
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	146	6	152

Error

0.1b

Counts

152 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.5b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))) (+.f64 t (log.f64 y)))))
	35.0b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (cbrt.f64 (pow.f64 (fma.f64 (log.f64 y) (-.f64 1 x) t) 3))))
✓	21.5b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))) (+.f64 t (log.f64 y)))))
✓	0.1b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t)))
	33.8b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))) (+.f64 t (log.f64 y)))))
	30.4b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 (.f64 x (log.f64 y))) 2)) (+.f64 t (log.f64 y)))))

Compiler

Compiled 255 to 183 computations (28.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y)))
✓	0.4b	(*.f64 (cbrt.f64 x) (log.f64 y))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)

series14.0ms (0.3%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(*.f64 (cbrt.f64 x) (log.f64 y))
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	-inf	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (log.f64 y)))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 x) 2)
1.0ms	x	@	-inf	(cbrt.f64 x)

rewrite42.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

742×	`pow1_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
84×	`add-sqr-sqrt_binary64`
81×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	179	23
2	1969	23

Stop Event

1×	node limit

Counts

4 → 72

Calls

Call 1

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

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

simplify29.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

381×	`fma-def_binary64`
265×	`distribute-rgt-in_binary64`
262×	`associate--r+_binary64`
244×	`distribute-neg-in_binary64`
226×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	240
1	52	240
2	117	240
3	326	240
4	975	240
5	2766	240

Stop Event

1×	node limit

Counts

108 → 79

Calls

Call 1

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

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

eval46.0ms (0.9%)

Compiler: Compiled 2798 to 1291 computations (53.9% saved)

prune251.0ms (5.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	99	3	102
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	101	7	108

Error

0.0b

Counts

108 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	21.5b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (log.f64 y) 3)))) (+.f64 t (log.f64 y)))))
✓	0.1b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (fma.f64 (log.f64 y) (-.f64 1 x) t)))
	0.7b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))) (+.f64 t (log.f64 y)))))
	30.4b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (pow.f64 (sqrt.f64 (.f64 x (log.f64 y))) 2)) (+.f64 t (log.f64 y)))))
	33.8b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (log.f64 y)))) (+.f64 t (log.f64 y)))))
✓	0.5b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (log.f64 y)))) (+.f64 t (log.f64 y)))))
	0.6b	(neg.f64 (fma.f64 (log1p.f64 (neg.f64 y)) (-.f64 1 z) (+.f64 (.f64 -1 (.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 x (pow.f64 (log.f64 y) 3))))) (+.f64 t (log.f64 y)))))

Compiler

Compiled 192 to 138 computations (28.1% saved)

regimes84.0ms (1.7%)

Accuracy

Total -63.9b remaining (-60581.5%)

Threshold costs -63.9b (-60581.5%)

Counts

12 → 1

Calls

Call 1

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

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

Results

Time	Error	Segments	Branch
8.0ms	0.1b	1	`x`
7.0ms	0.1b	1	`y`
8.0ms	0.1b	1	`z`
7.0ms	0.1b	1	`t`
28.0ms	0.1b	1	`(-.f64 (+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y)))) t)`
8.0ms	0.1b	1	`(+.f64 (.f64 (-.f64 x 1) (log.f64 y)) (.f64 (-.f64 z 1) (log.f64 (-.f64 1 y))))`
6.0ms	0.1b	1	`(-.f64 x 1)`
5.0ms	0.1b	1	`(-.f64 z 1)`

Compiler

Compiled 336 to 195 computations (42% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
7×	`*-commutative_binary64`
7×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	29
1	30	27
2	45	27
3	54	27
4	60	27
5	62	27

Stop Event

1×

saturated

Calls

Call 1

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

Outputs

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

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

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

end19.0ms (0.4%)

Stop Event

1×

fuel

Compiler

Compiled 42 to 28 computations (33.3% saved)

Details

analyze627.0ms (12.8%)

sample2.6s (52.2%)

preprocess42.0ms (0.9%)

simplify37.0ms (0.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize11.0ms (0.2%)

series78.0ms (1.6%)

rewrite48.0ms (1%)

simplify59.0ms (1.2%)

eval36.0ms (0.7%)

prune85.0ms (1.7%)

localize14.0ms (0.3%)

series32.0ms (0.7%)

rewrite61.0ms (1.3%)

simplify57.0ms (1.2%)

eval44.0ms (0.9%)

prune164.0ms (3.3%)

localize18.0ms (0.4%)

series38.0ms (0.8%)

rewrite37.0ms (0.8%)

simplify51.0ms (1%)

eval75.0ms (1.5%)

prune218.0ms (4.4%)

localize17.0ms (0.3%)

series14.0ms (0.3%)

rewrite42.0ms (0.9%)

simplify29.0ms (0.6%)

eval46.0ms (0.9%)

prune251.0ms (5.1%)

regimes84.0ms (1.7%)

simplify3.0ms (0.1%)

end19.0ms (0.4%)

Profiling