Details

analyze654.0ms (9.3%)

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%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
2.3%	24.2%	73.5%	11
3.5%	23%	73.5%	12
5.3%	21.2%	73.5%	13
6.1%	19.6%	74.3%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample4.5s (64.4%)

Results

2.9s	5978×	body	128	valid
686.0ms	765×	body	1024	valid
575.0ms	878×	body	512	valid
233.0ms	612×	body	256	valid
71.0ms	311×	body	128	invalid
27.0ms	23×	body	2048	valid

Compiler

Compiled 36 to 26 computations (27.8% saved)

preprocess71.0ms (1%)

Algorithm

2×	egg-herbie

Rules

535×	`fma-neg_binary64`
351×	`cancel-sign-sub-inv_binary64`
301×	`sub-neg_binary64`
265×	`distribute-rgt-in_binary64`
256×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	126
1	101	119
2	216	119
3	382	119
4	662	119
5	1095	119
6	2181	119
7	3682	119
8	4434	119
9	4693	119
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify40.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-neg_binary64`
312×	`fma-def_binary64`
173×	`distribute-rgt-in_binary64`
132×	`unsub-neg_binary64`
123×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	25	17
2	46	17
3	75	17
4	123	17
5	201	17
6	379	17
7	721	17
8	1279	17
9	2012	17
10	2697	17
11	2973	17
12	2989	17
13	2989	17

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

Outputs

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

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

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

prune3.0ms (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

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

Compiler

Compiled 58 to 37 computations (36.2% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (log1p.f64 (neg.f64 y)))
✓	0.2b	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

series66.0ms (0.9%)

Counts

2 → 60

Calls

15 calls:

Time	Variable		Point	Expression
34.0ms	z	@	0	(*.f64 z (log1p.f64 (neg.f64 y)))
13.0ms	x	@	0	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
9.0ms	y	@	inf	(*.f64 z (log1p.f64 (neg.f64 y)))
3.0ms	z	@	0	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
1.0ms	z	@	-inf	(*.f64 z (log1p.f64 (neg.f64 y)))

rewrite42.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
678×	`expm1-log1p-u_binary64`
677×	`log1p-expm1-u_binary64`
89×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	176	18
2	2106	18

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

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

Outputs

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

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

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

530×	`sub-neg_binary64`
464×	`fma-def_binary64`
380×	`distribute-neg-in_binary64`
274×	`associate--r+_binary64`
267×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1048
1	322	971
2	1017	923
3	3908	909

Stop Event

1×	node limit

Counts

98 → 88

Calls

Call 1

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

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

prune77.0ms (1.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	3	89

Error

0.1b

Counts

89 → 3

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
	11.8b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
	34.1b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)

Status

Error

Program

▶

0.1b

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

11.8b

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

34.1b

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

Compiler

Compiled 1701 to 800 computations (53% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

series68.0ms (1%)

Counts

2 → 44

Calls

15 calls:

Time	Variable		Point	Expression
28.0ms	x	@	0	(*.f64 (log.f64 y) x)
18.0ms	y	@	-inf	(*.f64 (log.f64 y) x)
11.0ms	y	@	0	(*.f64 (log.f64 y) x)
6.0ms	y	@	inf	(*.f64 (log.f64 y) x)
1.0ms	x	@	inf	(*.f64 (log.f64 y) x)

rewrite62.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

744×	`pow1_binary64`
678×	`expm1-log1p-u_binary64`
677×	`log1p-expm1-u_binary64`
89×	`add-sqr-sqrt_binary64`
87×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	176	18
2	2106	18

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

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

Outputs

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

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

simplify37.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

540×	`fma-neg_binary64`
384×	`sub-neg_binary64`
346×	`distribute-rgt-in_binary64`
313×	`distribute-neg-in_binary64`
286×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	751
1	230	708
2	719	621
3	2759	619

Stop Event

1×	node limit

Counts

82 → 68

Calls

Call 1

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

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

prune34.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	68	3	71

Error

0.1b

Counts

71 → 3

Alt Table

Status

Error

Program

✓

0.1b

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

▶

11.8b

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

34.1b

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

Compiler

Compiled 1238 to 546 computations (55.9% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (log1p.f64 y))
✓	0.2b	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
✓	0.5b	(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))
✓	0.7b	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)

series136.0ms (1.9%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)
30.0ms	z	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)
22.0ms	z	@	0	(*.f64 z (log1p.f64 y))
15.0ms	y	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)
8.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)

rewrite56.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

819×	`expm1-log1p-u_binary64`
818×	`log1p-expm1-u_binary64`
98×	`add-sqr-sqrt_binary64`
95×	`pow1_binary64`
93×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	221	44
2	2289	44

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)
(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))
(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
(*.f64 z (log1p.f64 y))

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

simplify105.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

415×	`fma-neg_binary64`
332×	`associate-r_binary64`
322×	`sub-neg_binary64`
289×	`fma-def_binary64`
261×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	4658
1	1107	4493
2	4223	4445

Stop Event

1×	node limit

Counts

195 → 180

Calls

Call 1

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

Outputs
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18)) (.f64 (log.f64 y) x) (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18)) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18)) (.f64 (log.f64 y) x) (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18)) (*.f64 (log.f64 y) x)))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18)) (.f64 (log.f64 y) x) (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18)) (*.f64 (log.f64 y) x)))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 (.f64 y z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))
(fma.f64 (log.f64 y) x (.f64 y (.f64 z (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)))))
(fma.f64 (log.f64 y) x (.f64 z (.f64 y (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (*.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)))))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 (.f64 y z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9))) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(+.f64 (fma.f64 (log.f64 y) x (.f64 y (.f64 z (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18))))) (.f64 -1/2 (.f64 z (.f64 y y))))
(fma.f64 (log.f64 y) x (fma.f64 (.f64 y z) (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) (.f64 (.f64 y (*.f64 y z)) -1/2)))
(fma.f64 (log.f64 y) x (fma.f64 z (.f64 y (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18))) (.f64 (.f64 y (*.f64 y z)) -1/2)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 (.f64 y z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)) (.f64 1/3 (.f64 (pow.f64 y 3) z)))) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(+.f64 (fma.f64 (log.f64 y) x (fma.f64 (.f64 y z) (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) (.f64 1/3 (.f64 z (pow.f64 y 3))))) (.f64 -1/2 (.f64 z (*.f64 y y))))
(+.f64 (fma.f64 (log.f64 y) x (.f64 z (.f64 y (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18))))) (.f64 z (-.f64 (.f64 1/3 (pow.f64 y 3)) (.f64 1/2 (*.f64 y y)))))
(.f64 -1 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (*.f64 (log.f64 (/.f64 1 y)) x)))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (+.f64 z x)))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 (+.f64 z x)))
(*.f64 (log.f64 y) (+.f64 z x))
(-.f64 (.f64 (/.f64 z y) (.f64 (pow.f64 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 4) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)))
(fma.f64 (/.f64 z y) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18) (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (neg.f64 (*.f64 (neg.f64 (log.f64 y)) (+.f64 z x))))
(+.f64 (.f64 (/.f64 z y) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18) (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (.f64 (log.f64 y) (+.f64 z x)))
(fma.f64 (/.f64 z y) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18) (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18)) (cbrt.f64 (.f64 -1 (cbrt.f64 -1)))) (.f64 (log.f64 y) (+.f64 z x)))
(-.f64 (.f64 (/.f64 z y) (.f64 (pow.f64 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 4) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (+.f64 (.f64 1/2 (/.f64 z (pow.f64 y 2))) (*.f64 (log.f64 (/.f64 1 y)) x))))
(fma.f64 (/.f64 z y) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18) (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (neg.f64 (+.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) (.f64 1/2 (/.f64 z (*.f64 y y))))))
(-.f64 (.f64 (/.f64 z y) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18) (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (fma.f64 (neg.f64 (log.f64 y)) (+.f64 z x) (.f64 1/2 (/.f64 z (*.f64 y y)))))
(fma.f64 (.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18) (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18)) (.f64 (cbrt.f64 (.f64 -1 (cbrt.f64 -1))) (/.f64 z y)) (-.f64 (.f64 (log.f64 y) (+.f64 z x)) (.f64 1/2 (/.f64 z (.f64 y y)))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 z (pow.f64 y 3))) (.f64 (/.f64 z y) (.f64 (pow.f64 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 4) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (.f64 4/81 (.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 2)) 1/3))) (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (+.f64 (.f64 1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 4/81 (.f64 (/.f64 (.f64 (cbrt.f64 -1) (pow.f64 z 3)) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 2)) 1/3))) (.f64 (log.f64 (/.f64 1 y)) x))))))
(-.f64 (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (.f64 (/.f64 z y) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18) (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))))) (fma.f64 4/81 (.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 2)))) (fma.f64 z (neg.f64 (log.f64 y)) (fma.f64 1/2 (/.f64 z (.f64 y y)) (fma.f64 4/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 2))) (/.f64 (cbrt.f64 -1) (/.f64 (pow.f64 y 3) (pow.f64 z 3)))) (.f64 x (neg.f64 (log.f64 y))))))))
(-.f64 (fma.f64 (/.f64 z y) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18) (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) (.f64 1/3 (/.f64 z (pow.f64 y 3)))) (fma.f64 4/81 (.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 2)))) (+.f64 (fma.f64 (neg.f64 (log.f64 y)) (+.f64 z x) (.f64 1/2 (/.f64 z (.f64 y y)))) (.f64 4/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 2))) (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 y 3)) (pow.f64 z 3)))))))
(-.f64 (fma.f64 (/.f64 z y) (.f64 (.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18) (pow.f64 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 4) 1/18)) (cbrt.f64 (.f64 -1 (cbrt.f64 -1)))) (.f64 1/3 (/.f64 z (pow.f64 y 3)))) (fma.f64 4/81 (.f64 (/.f64 (pow.f64 (/.f64 z y) 3) (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 2)))) (-.f64 (fma.f64 1/2 (/.f64 z (.f64 y y)) (.f64 4/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) 2))) (.f64 (/.f64 (cbrt.f64 -1) (pow.f64 y 3)) (pow.f64 z 3))))) (.f64 (log.f64 y) (+.f64 z x)))))
(-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z)))
(-.f64 (fma.f64 z (log.f64 -1) (.f64 x (log.f64 -1))) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 x z)))
(-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x)))
(fma.f64 (log.f64 -1) (+.f64 z x) (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x))))
(-.f64 (+.f64 (.f64 z (log.f64 -1)) (+.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 4) 1/9) (/.f64 z y)) (.f64 (log.f64 -1) x))) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (/.f64 -1 y)) z)))
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(-.f64 (+.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (/.f64 z y) (.f64 (pow.f64 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 4) 1/18)))) (+.f64 (.f64 1/2 (/.f64 z (.f64 y y))) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))))
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(+.f64 (fma.f64 (log.f64 y) x (.f64 y z)) (.f64 z (-.f64 (.f64 1/3 (pow.f64 y 3)) (.f64 1/2 (*.f64 y y)))))
(.f64 -1 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (*.f64 x (log.f64 (/.f64 1 y)))))
(neg.f64 (*.f64 (neg.f64 (log.f64 y)) (+.f64 z x)))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 (+.f64 z x)))
(*.f64 (log.f64 y) (+.f64 z x))
(-.f64 (/.f64 z y) (+.f64 (.f64 x (log.f64 (/.f64 1 y))) (.f64 z (log.f64 (/.f64 1 y)))))
(-.f64 (/.f64 z y) (*.f64 (neg.f64 (log.f64 y)) (+.f64 z x)))
(+.f64 (/.f64 z y) (*.f64 (log.f64 y) (+.f64 z x)))
(-.f64 (/.f64 z y) (+.f64 (.f64 x (log.f64 (/.f64 1 y))) (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (*.f64 1/2 (/.f64 z (pow.f64 y 2))))))
(-.f64 (/.f64 z y) (+.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) (.f64 1/2 (/.f64 z (*.f64 y y)))))
(-.f64 (/.f64 z y) (fma.f64 (neg.f64 (log.f64 y)) (+.f64 z x) (.f64 1/2 (/.f64 z (.f64 y y)))))
(+.f64 (/.f64 z y) (-.f64 (.f64 (log.f64 y) (+.f64 z x)) (.f64 1/2 (/.f64 z (*.f64 y y)))))
(-.f64 (+.f64 (/.f64 z y) (.f64 1/3 (/.f64 z (pow.f64 y 3)))) (+.f64 (.f64 x (log.f64 (/.f64 1 y))) (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 1/2 (/.f64 z (pow.f64 y 2))))))
(+.f64 (/.f64 z y) (-.f64 (/.f64 (.f64 1/3 z) (pow.f64 y 3)) (+.f64 (.f64 (neg.f64 (log.f64 y)) (+.f64 z x)) (.f64 1/2 (/.f64 z (.f64 y y))))))
(-.f64 (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (/.f64 z y)) (fma.f64 (neg.f64 (log.f64 y)) (+.f64 z x) (.f64 1/2 (/.f64 z (.f64 y y)))))
(+.f64 (/.f64 z y) (-.f64 (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (.f64 (log.f64 y) (+.f64 z x))) (.f64 1/2 (/.f64 z (*.f64 y y)))))
(-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z)))
(-.f64 (fma.f64 z (log.f64 -1) (.f64 x (log.f64 -1))) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 x z)))
(-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x)))
(fma.f64 (log.f64 -1) (+.f64 z x) (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x))))
(-.f64 (+.f64 (/.f64 z y) (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x))) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z)))
(+.f64 (/.f64 z y) (-.f64 (fma.f64 z (log.f64 -1) (.f64 x (log.f64 -1))) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 x z))))
(-.f64 (+.f64 (/.f64 z y) (.f64 (log.f64 -1) (+.f64 z x))) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x)))
(+.f64 (/.f64 z y) (fma.f64 (log.f64 -1) (+.f64 z x) (*.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))))
(-.f64 (+.f64 (/.f64 z y) (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x))) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 (.f64 1/2 (/.f64 z (pow.f64 y 2))) (*.f64 (log.f64 (/.f64 -1 y)) z))))
(+.f64 (/.f64 z y) (-.f64 (fma.f64 z (log.f64 -1) (.f64 x (log.f64 -1))) (fma.f64 (log.f64 (/.f64 -1 y)) x (fma.f64 1/2 (/.f64 z (.f64 y y)) (*.f64 z (log.f64 (/.f64 -1 y)))))))
(-.f64 (+.f64 (/.f64 z y) (.f64 (log.f64 -1) (+.f64 z x))) (+.f64 (.f64 1/2 (/.f64 z (.f64 y y))) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))))
(-.f64 (+.f64 (/.f64 z y) (+.f64 (.f64 1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)))) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 (.f64 1/2 (/.f64 z (pow.f64 y 2))) (.f64 (log.f64 (/.f64 -1 y)) z))))
(-.f64 (+.f64 (/.f64 z y) (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (fma.f64 z (log.f64 -1) (.f64 x (log.f64 -1))))) (fma.f64 (log.f64 (/.f64 -1 y)) x (fma.f64 1/2 (/.f64 z (.f64 y y)) (*.f64 z (log.f64 (/.f64 -1 y))))))
(+.f64 (/.f64 z y) (-.f64 (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (.f64 (log.f64 -1) (+.f64 z x))) (+.f64 (.f64 1/2 (/.f64 z (.f64 y y))) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x)))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (log.f64 y) x (*.f64 (log1p.f64 y) z))
(fma.f64 (log1p.f64 y) z (*.f64 (log.f64 y) x))
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(*.f64 y z)
(-.f64 (.f64 y z) (.f64 1/2 (*.f64 (pow.f64 y 2) z)))
(+.f64 (.f64 y z) (.f64 -1/2 (.f64 z (.f64 y y))))
(.f64 z (-.f64 y (.f64 1/2 (*.f64 y y))))
(-.f64 (+.f64 (.f64 y z) (.f64 1/3 (.f64 (pow.f64 y 3) z))) (.f64 1/2 (*.f64 (pow.f64 y 2) z)))
(+.f64 (fma.f64 y z (.f64 1/3 (.f64 z (pow.f64 y 3)))) (.f64 -1/2 (.f64 z (*.f64 y y))))
(fma.f64 y z (.f64 z (-.f64 (.f64 1/3 (pow.f64 y 3)) (.f64 1/2 (.f64 y y)))))
(fma.f64 z (+.f64 (.f64 1/3 (pow.f64 y 3)) y) (.f64 (.f64 y (.f64 y z)) -1/2))
(-.f64 (+.f64 (.f64 y z) (.f64 1/3 (.f64 (pow.f64 y 3) z))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 1/4 (*.f64 (pow.f64 y 4) z))))
(-.f64 (fma.f64 y z (.f64 1/3 (.f64 z (pow.f64 y 3)))) (fma.f64 1/2 (.f64 z (.f64 y y)) (.f64 1/4 (.f64 z (pow.f64 y 4)))))
(-.f64 (.f64 z (+.f64 (.f64 1/3 (pow.f64 y 3)) y)) (.f64 z (+.f64 (.f64 1/2 (.f64 y y)) (.f64 1/4 (pow.f64 y 4)))))
(.f64 -1 (.f64 z (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 z (neg.f64 (log.f64 y))))
(*.f64 (neg.f64 (log.f64 y)) (neg.f64 z))
(*.f64 z (log.f64 y))
(-.f64 (/.f64 z y) (*.f64 z (log.f64 (/.f64 1 y))))
(-.f64 (/.f64 z y) (*.f64 z (neg.f64 (log.f64 y))))
(+.f64 (/.f64 z y) (*.f64 (log.f64 y) z))
(+.f64 (/.f64 z y) (*.f64 z (log.f64 y)))
(-.f64 (/.f64 z y) (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 1/2 (/.f64 z (pow.f64 y 2)))))
(-.f64 (/.f64 z y) (fma.f64 z (neg.f64 (log.f64 y)) (.f64 1/2 (/.f64 z (.f64 y y)))))
(+.f64 (+.f64 (/.f64 z y) (.f64 (log.f64 y) z)) (.f64 -1/2 (/.f64 z (*.f64 y y))))
(+.f64 (/.f64 z y) (-.f64 (.f64 z (log.f64 y)) (.f64 1/2 (/.f64 z (*.f64 y y)))))
(-.f64 (+.f64 (/.f64 z y) (.f64 1/3 (/.f64 z (pow.f64 y 3)))) (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (*.f64 1/2 (/.f64 z (pow.f64 y 2)))))
(-.f64 (+.f64 (/.f64 z y) (/.f64 (.f64 1/3 z) (pow.f64 y 3))) (fma.f64 z (neg.f64 (log.f64 y)) (.f64 1/2 (/.f64 z (*.f64 y y)))))
(-.f64 (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (/.f64 z y)) (fma.f64 z (neg.f64 (log.f64 y)) (.f64 1/2 (/.f64 z (.f64 y y)))))
(+.f64 (-.f64 (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (/.f64 z y)) (.f64 1/2 (/.f64 z (.f64 y y)))) (*.f64 z (log.f64 y)))
(*.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))) z)
(*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y))))
(*.f64 z (+.f64 0 (log.f64 y)))
(-.f64 (+.f64 (/.f64 z y) (.f64 z (log.f64 -1))) (.f64 (log.f64 (/.f64 -1 y)) z))
(+.f64 (/.f64 z y) (-.f64 (.f64 z (log.f64 -1)) (.f64 z (log.f64 (/.f64 -1 y)))))
(+.f64 (/.f64 z y) (*.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(+.f64 (/.f64 z y) (*.f64 z (+.f64 0 (log.f64 y))))
(-.f64 (+.f64 (/.f64 z y) (.f64 z (log.f64 -1))) (+.f64 (.f64 1/2 (/.f64 z (pow.f64 y 2))) (*.f64 (log.f64 (/.f64 -1 y)) z)))
(-.f64 (+.f64 (/.f64 z y) (.f64 z (log.f64 -1))) (fma.f64 1/2 (/.f64 z (.f64 y y)) (*.f64 z (log.f64 (/.f64 -1 y)))))
(-.f64 (fma.f64 z (log.f64 -1) (/.f64 z y)) (fma.f64 z (log.f64 (/.f64 -1 y)) (.f64 1/2 (/.f64 z (.f64 y y)))))
(-.f64 (+.f64 (/.f64 z y) (.f64 z (+.f64 0 (log.f64 y)))) (.f64 1/2 (/.f64 z (*.f64 y y))))
(-.f64 (+.f64 (/.f64 z y) (+.f64 (.f64 1/3 (/.f64 z (pow.f64 y 3))) (.f64 z (log.f64 -1)))) (+.f64 (.f64 1/2 (/.f64 z (pow.f64 y 2))) (.f64 (log.f64 (/.f64 -1 y)) z)))
(+.f64 (/.f64 z y) (-.f64 (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (.f64 z (log.f64 -1))) (fma.f64 1/2 (/.f64 z (.f64 y y)) (*.f64 z (log.f64 (/.f64 -1 y))))))
(+.f64 (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (/.f64 z y)) (-.f64 (.f64 z (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))) (.f64 1/2 (/.f64 z (*.f64 y y)))))
(+.f64 (fma.f64 1/3 (/.f64 z (pow.f64 y 3)) (/.f64 z y)) (-.f64 (.f64 z (+.f64 0 (log.f64 y))) (.f64 1/2 (/.f64 z (*.f64 y y)))))

prune224.0ms (3.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	178	5	183

Error

0.1b

Counts

183 → 5

Alt Table

Status	Error	Program
✓	11.8b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
▶	11.9b	(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)) 3) t)
✓	0.1b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
	12.3b	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 3) 3) t)
	34.1b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)

Compiler

Compiled 7006 to 4111 computations (41.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))
✓	0.5b	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3))
	0.7b	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)
✓	0.7b	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)) 3)

series8.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3))
1.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3))
0.0ms	y	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)) 3)
0.0ms	y	@	0	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3))
0.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)) 3)

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`expm1-log1p-u_binary64`
820×	`log1p-expm1-u_binary64`
100×	`add-sqr-sqrt_binary64`
97×	`pow1_binary64`
95×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	264	26
2	2332	26

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)) 3)
(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3))

Outputs

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

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

simplify105.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

470×	`unswap-sqr_binary64`
323×	`associate-r_binary64`
318×	`fma-neg_binary64`
253×	`associate-l_binary64`
234×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	3874
1	931	3610
2	3634	3599

Stop Event

1×	node limit

Counts

89 → 116

Calls

Call 1

Inputs
(*.f64 (log.f64 (+.f64 1 y)) z)
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 (.f64 y z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (.f64 (.f64 y z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9))) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 (.f64 y z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)) (.f64 1/3 (.f64 (pow.f64 y 3) z)))) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
(.f64 -1 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (*.f64 (log.f64 (/.f64 1 y)) x)))
(-.f64 (.f64 (/.f64 z y) (.f64 (pow.f64 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 4) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)))
(-.f64 (.f64 (/.f64 z y) (.f64 (pow.f64 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 4) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (+.f64 (.f64 1/2 (/.f64 z (pow.f64 y 2))) (*.f64 (log.f64 (/.f64 1 y)) x))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 z (pow.f64 y 3))) (.f64 (/.f64 z y) (.f64 (pow.f64 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 4) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) (+.f64 (.f64 4/81 (.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 2)) 1/3))) (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (+.f64 (.f64 1/2 (/.f64 z (pow.f64 y 2))) (+.f64 (.f64 4/81 (.f64 (/.f64 (.f64 (cbrt.f64 -1) (pow.f64 z 3)) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 2)) 1/3))) (.f64 (log.f64 (/.f64 1 y)) x))))))
(-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z)))
(-.f64 (+.f64 (.f64 z (log.f64 -1)) (+.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 4) 1/9) (/.f64 z y)) (.f64 (log.f64 -1) x))) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (*.f64 (log.f64 (/.f64 -1 y)) z)))
(-.f64 (+.f64 (.f64 z (log.f64 -1)) (+.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 4) 1/9) (/.f64 z y)) (.f64 (log.f64 -1) x))) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 (.f64 1/2 (/.f64 z (pow.f64 y 2))) (.f64 (log.f64 (/.f64 -1 y)) z))))
(-.f64 (+.f64 (.f64 1/3 (/.f64 z (pow.f64 y 3))) (+.f64 (.f64 z (log.f64 -1)) (+.f64 (.f64 (pow.f64 (pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 4) 1/9) (/.f64 z y)) (.f64 (log.f64 -1) x)))) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (+.f64 (.f64 1/2 (/.f64 z (pow.f64 y 2))) (*.f64 (log.f64 (/.f64 -1 y)) z))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 (.f64 (log.f64 (+.f64 1 y)) z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))
(+.f64 (.f64 (log.f64 y) x) (.f64 (.f64 (log.f64 (+.f64 1 y)) z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))
(+.f64 (.f64 (log.f64 y) x) (.f64 (.f64 (log.f64 (+.f64 1 y)) z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))
(pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/3)
(+.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/9) (*.f64 (log.f64 y) x))))
(-.f64 (+.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/9) (.f64 (log.f64 y) x)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 7) (pow.f64 z 7))) 1/9) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(-.f64 (+.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/9) (.f64 (log.f64 y) x))) (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4))) 1/3) (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)))))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 7) (pow.f64 z 7))) 1/9) (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)))))
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9))))
(-.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9)))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/9))) (.f64 1/6 (.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))))
(-.f64 (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 3) (pow.f64 z 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 11) (pow.f64 x 11))) 1/9))) (+.f64 (.f64 5/81 (.f64 (.f64 (pow.f64 y 3) (pow.f64 z 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/3))) (+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 y z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9))) (.f64 1/9 (.f64 (.f64 (pow.f64 y 3) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))))))) (+.f64 (.f64 1/9 (.f64 (.f64 (pow.f64 y 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/9))) (.f64 1/6 (.f64 (.f64 (pow.f64 y 2) z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))))
(.f64 (cbrt.f64 -1) (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (*.f64 (log.f64 (/.f64 1 y)) x)) 1/3))
(+.f64 (.f64 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 2)) 1/9)))))
(-.f64 (+.f64 (.f64 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))) (+.f64 (.f64 1/6 (.f64 (/.f64 z (.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 2)) 1/3))) (.f64 1/9 (.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3))))))
(-.f64 (+.f64 (.f64 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 1/9 (.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 3)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 11)) 1/3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 11)) 1/9)))) (+.f64 (.f64 5/81 (.f64 (/.f64 (pow.f64 z 3) (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 4))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 4)) 1/3))) (+.f64 (.f64 1/9 (.f64 (/.f64 z (.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 2)) 1/3))) (.f64 1/3 (.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))))) (+.f64 (.f64 1/9 (.f64 (/.f64 (pow.f64 z 2) (pow.f64 y 2)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (.f64 (log.f64 (/.f64 1 y)) x)) 7)) 1/9)))) (.f64 1/6 (.f64 (/.f64 z (.f64 (pow.f64 y 2) (pow.f64 (cbrt.f64 -1) 2))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (*.f64 (log.f64 (/.f64 1 y)) x)) 2)) 1/3)))))
(pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 2)) 1/9) (/.f64 z y))) (pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 1/3))
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 2)) 1/9) (/.f64 z y))) (pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 1/3)) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 2)) 1/3) (/.f64 z (pow.f64 y 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (+.f64 (.f64 z (log.f64 -1)) (.f64 (log.f64 -1) x)) (+.f64 (.f64 (log.f64 (/.f64 -1 y)) x) (.f64 (log.f64 (/.f64 -1 y)) z))) 7)) 1/9) (/.f64 (pow.f64 z 2) (pow.f64 y 2))))))
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(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (.f64 1/3 (.f64 (.f64 (log.f64 (+.f64 1 y)) z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9))))
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Outputs
(*.f64 (log.f64 (+.f64 1 y)) z)
(*.f64 (log1p.f64 y) z)
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18)) (.f64 (log.f64 y) x) (*.f64 (log1p.f64 y) z))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18)) (.f64 (log.f64 y) x) (*.f64 (log1p.f64 y) z))
(+.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))
(fma.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log1p.f64 y) 4) (pow.f64 z 4)) 1/18)) (.f64 (log.f64 y) x) (*.f64 (log1p.f64 y) z))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (log.f64 y) x) (.f64 (.f64 y z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))
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(fma.f64 (.f64 y z) (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) (*.f64 (log.f64 y) x))
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(fma.f64 (log.f64 y) x (fma.f64 (.f64 y z) (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/18)) (.f64 (.f64 y (*.f64 y z)) -1/2)))
(-.f64 (+.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 (.f64 y z) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)) (.f64 1/3 (.f64 (pow.f64 y 3) z)))) (.f64 1/2 (.f64 (pow.f64 y 2) z)))
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(.f64 -1 (+.f64 (.f64 z (log.f64 (/.f64 1 y))) (*.f64 (log.f64 (/.f64 1 y)) x)))
(neg.f64 (fma.f64 z (neg.f64 (log.f64 y)) (*.f64 x (neg.f64 (log.f64 y)))))
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(-.f64 (fma.f64 1/9 (.f64 (/.f64 z (/.f64 (pow.f64 y 3) z)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))) 11)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))) 11)) 1/18))) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))) 4))) (/.f64 (pow.f64 z 3) (pow.f64 y 3))) (fma.f64 1/3 (.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))) 2)) 1/18))) (fma.f64 (.f64 1/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))) 2)))) (/.f64 z (pow.f64 y 3)) (cbrt.f64 (-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x)))))))) (fma.f64 1/9 (.f64 (.f64 (/.f64 z y) (/.f64 z y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))) 7)) 1/18))) (.f64 1/6 (.f64 (/.f64 z (.f64 y y)) (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (.f64 (log.f64 -1) (+.f64 z x)) (.f64 (log.f64 (/.f64 -1 y)) (+.f64 z x))) 2)))))))
(-.f64 (fma.f64 1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 11)) 1/18) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 11)) 1/18) (/.f64 z (/.f64 (pow.f64 y 3) z)))) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 4))) (pow.f64 (/.f64 z y) 3)) (fma.f64 1/3 (.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 2)) 1/18))) (fma.f64 1/9 (.f64 (/.f64 z (pow.f64 y 3)) (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 2)))) (cbrt.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x))))))))) (fma.f64 1/9 (.f64 (.f64 (/.f64 z y) (/.f64 z y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 7)) 1/18))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 (log.f64 -1) (+.f64 z x) (.f64 (log.f64 (/.f64 -1 y)) (neg.f64 (+.f64 z x)))) 2))) (.f64 (/.f64 z (.f64 y y)) 1/6))))
(pow.f64 (*.f64 (log.f64 y) x) 1/3)
(cbrt.f64 (*.f64 (log.f64 y) x))
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (.f64 1/3 (.f64 (.f64 (log.f64 (+.f64 1 y)) z) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (.f64 (.f64 1/3 (.f64 (log1p.f64 y) z)) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (.f64 x x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (*.f64 x x)) 1/18))))
(fma.f64 1/3 (.f64 z (.f64 (log1p.f64 y) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)))) (cbrt.f64 (.f64 (log.f64 y) x)))
(fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (.f64 (log1p.f64 y) z))) (cbrt.f64 (.f64 (log.f64 y) x)))
(-.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (.f64 1/3 (.f64 (.f64 (log.f64 (+.f64 1 y)) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9)))) (.f64 1/9 (.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/9))))
(-.f64 (+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (.f64 (.f64 1/3 (.f64 (log1p.f64 y) z)) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (.f64 x x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (.f64 x x)) 1/18)))) (.f64 (.f64 1/9 (.f64 (.f64 z z) (pow.f64 (log1p.f64 y) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (fma.f64 (.f64 (.f64 z 1/3) (log1p.f64 y)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)) (.f64 (.f64 -1/9 (.f64 (.f64 z z) (pow.f64 (log1p.f64 y) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18)))))
(+.f64 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (.f64 (log1p.f64 y) z))) (cbrt.f64 (.f64 (log.f64 y) x))) (.f64 (.f64 -1/9 (.f64 z (.f64 z (pow.f64 (log1p.f64 y) 2)))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18))))
(-.f64 (+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.f64 5/81 (.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 z 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/3))) (.f64 1/3 (.f64 (.f64 (log.f64 (+.f64 1 y)) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9))))) (.f64 1/9 (.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/9))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (-.f64 (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (.f64 (pow.f64 z 3) (pow.f64 (log1p.f64 y) 3))) (.f64 (.f64 1/3 (.f64 (log1p.f64 y) z)) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (.f64 x x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (log.f64 y) 2)) (.f64 x x)) 1/18)))) (.f64 (.f64 1/9 (.f64 (.f64 z z) (pow.f64 (log1p.f64 y) 2))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18)))))
(+.f64 (fma.f64 1/3 (.f64 z (.f64 (log1p.f64 y) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18)))) (.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (.f64 (pow.f64 z 3) (pow.f64 (log1p.f64 y) 3))))) (-.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (.f64 1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (log1p.f64 y) 2) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18)))))))
(+.f64 (fma.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) 1/18) (.f64 (log1p.f64 y) z))) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)))) (.f64 (.f64 5/81 (pow.f64 z 3)) (pow.f64 (log1p.f64 y) 3)))) (+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (.f64 (.f64 -1/9 (.f64 z (.f64 z (pow.f64 (log1p.f64 y) 2)))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 7) (pow.f64 x 7))) 1/18)))))

prune278.0ms (4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	232	5	237

Error

0.1b

Counts

237 → 5

Alt Table

Status	Error	Program
✓	11.8b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
✓	11.9b	(-.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)) 3) t)
✓	0.1b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
	12.3b	(-.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 3) 3) t)
	34.1b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)

Compiler

Compiled 11297 to 6811 computations (39.7% saved)

regimes187.0ms (2.7%)

Accuracy

Total 0.0b remaining (23.7%)

Threshold costs 0.0b (23.7%)

Counts

32 → 1

Compiler

Compiled 487 to 184 computations (62.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	18	17
2	23	17
3	26	17
4	27	17

Stop Event

1×

saturated

Calls

Call 1

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

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

end105.0ms (1.5%)

Stop Event

1×

fuel

Compiler

Compiled 119 to 84 computations (29.4% saved)

Details

analyze654.0ms (9.3%)

sample4.5s (64.4%)

preprocess71.0ms (1%)

simplify40.0ms (0.6%)

prune3.0ms (0%)

localize10.0ms (0.1%)

series66.0ms (0.9%)

rewrite42.0ms (0.6%)

simplify45.0ms (0.6%)

prune77.0ms (1.1%)

localize9.0ms (0.1%)

series68.0ms (1%)

rewrite62.0ms (0.9%)

simplify37.0ms (0.5%)

prune34.0ms (0.5%)

localize14.0ms (0.2%)

series136.0ms (1.9%)

rewrite56.0ms (0.8%)

simplify105.0ms (1.5%)

prune224.0ms (3.2%)

localize15.0ms (0.2%)

series8.0ms (0.1%)

rewrite48.0ms (0.7%)

simplify105.0ms (1.5%)

prune278.0ms (4%)

regimes187.0ms (2.7%)

simplify3.0ms (0%)

end105.0ms (1.5%)

Profiling