Details

analyze530.0ms (6.2%)

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%	87.3%	12.7%	4
0%	87.3%	12.7%	5
0%	81.1%	18.9%	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)

sample2.4s (28.1%)

Results

1.0s	5979×	body	128	valid
606.0ms	698×	body	1024	valid
463.0ms	882×	body	512	valid
217.0ms	681×	body	256	valid
48.0ms	275×	body	128	invalid
21.0ms	16×	body	2048	valid

preprocess56.0ms (0.7%)

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 (0.5%)

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)

eval1.0ms (0%)

Compiler: Compiled 28 to 17 computations (39.3% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series74.0ms (0.9%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
33.0ms	z	@	0	(*.f64 z (log1p.f64 (neg.f64 y)))
17.0ms	t	@	0	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
11.0ms	x	@	0	(fma.f64 x (log.f64 y) (*.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	y	@	inf	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

714×	`prod-diff_binary64`
195×	`expm1-udef_binary64`
195×	`log1p-udef_binary64`
149×	`fma-neg_binary64`
119×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	227	33
2	2953	33

Stop Event

1×	node limit

Counts

3 → 81

Calls

Call 1

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

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

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

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

785×	`fma-def_binary64`
509×	`associate-+l+_binary64`
450×	`sub-neg_binary64`
404×	`unsub-neg_binary64`
303×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	2074
1	306	1875
2	953	1810
3	4080	1807

Stop Event

1×	node limit

Counts

189 → 162

Calls

Call 1

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

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

eval43.0ms (0.5%)

Compiler: Compiled 3140 to 1351 computations (57% saved)

prune242.0ms (2.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	156	6	162
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	156	7	163

Error

0.1b

Counts

163 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	33.5b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)
	40.0b	(-.f64 (/.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)))))) t)
	39.1b	(.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) 2) (.f64 t t)) (/.f64 1 (+.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) t)))
▶	9.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
	10.1b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) t)) 2) (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	36.0b	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) t)

Compiler

Compiled 329 to 182 computations (44.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
✓	0.2b	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))
✓	0.6b	(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)

series94.0ms (1.1%)

Counts

4 → 112

Calls

39 calls:

Time	Variable		Point	Expression
19.0ms	x	@	-inf	(fma.f64 x (log.f64 y) (*.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)
9.0ms	y	@	inf	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)
4.0ms	x	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3)

rewrite92.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

796×	`prod-diff_binary64`
220×	`log1p-udef_binary64`
127×	`add-sqr-sqrt_binary64`
124×	`pow1_binary64`
122×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
1	272	53
2	3136	53

Stop Event

1×	node limit

Counts

4 → 162

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

Outputs
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(log1p.f64 y))) t)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))))))

simplify217.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

795×	`fma-def_binary64`
496×	`associate-l_binary64`
212×	`*-commutative_binary64`
168×	`+-commutative_binary64`
134×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	545	17035
1	1877	14421

Stop Event

1×	node limit

Counts

274 → 273

Calls

Call 1

Inputs
(*.f64 (log.f64 (+.f64 1 y)) z)
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (log.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (log.f64 y)))) x) (.f64 (log.f64 (+.f64 1 y)) z))
(+.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 (+.f64 1 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 (+.f64 1 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))) (.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4))) 1/9) (pow.f64 (log.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4))) 1/9) (pow.f64 (log.f64 y) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (log.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (log.f64 y)))) x) (*.f64 (log.f64 (+.f64 1 y)) z)))
(+.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 (+.f64 1 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 (+.f64 1 y)) z)) 1/9) (pow.f64 (log.f64 y) 2))) (.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/3) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4))) 1/9) (pow.f64 (log.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4))) 1/9) (pow.f64 (log.f64 y) 2))))))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (log.f64 y))) (.f64 2/3 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4)) 1/9) (log.f64 y)))) x) (+.f64 (.f64 (+.f64 (.f64 -1/3 (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (log.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (log.f64 y) 3))))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (log.f64 y) 3))) (+.f64 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/3) (+.f64 (.f64 -2/27 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 (log.f64 (+.f64 1 y)) z))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 (+.f64 1 y)) z)) 1/3) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (log.f64 y) 3))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))) 1/3) (pow.f64 (log.f64 y) 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 (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4))) 1/9) (pow.f64 (log.f64 y) 2))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 4) (pow.f64 z 4))) 1/9) (pow.f64 (log.f64 y) 2)))) (log.f64 y))))))) (pow.f64 x 3)) (*.f64 (log.f64 (+.f64 1 y)) z))))
(*.f64 (log.f64 y) x)
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 z (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9))) (.f64 2/3 (.f64 z (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))) y) (.f64 (log.f64 y) x))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 z (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9))) (.f64 2/3 (.f64 z (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))) y) (+.f64 (.f64 (log.f64 y) x) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)))) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/3)))) (pow.f64 (.f64 (log.f64 y) x) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9))) (.f64 1/3 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (*.f64 (log.f64 y) x)) 1/9))))))) (pow.f64 y 2))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 z (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9))) (.f64 2/3 (.f64 z (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))) y) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)))) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/9))) (+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)))) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/3)))) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9))) (+.f64 (.f64 (+.f64 (.f64 2/9 (.f64 (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)))) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 8) (pow.f64 x 8))) 1/9))) (.f64 2/3 (.f64 (-.f64 (.f64 1/3 z) (+.f64 (.f64 1/27 (.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)))) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/9))))) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/3)))) (pow.f64 (.f64 (log.f64 y) x) 1/3)) (.f64 1/3 (-.f64 (.f64 1/3 z) (+.f64 (.f64 1/27 (.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)))) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/9))))))))) (pow.f64 y 3)) (+.f64 (.f64 (log.f64 y) x) (.f64 (+.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)))) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/3)))) (pow.f64 (.f64 (log.f64 y) x) 1/3)) (+.f64 (.f64 2/9 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9))) (.f64 1/3 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9))))))) (pow.f64 y 2)))))
(+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))
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(pow.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))) 1/3)))) z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 2)) 1/9))) (.f64 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 1/3) (+.f64 (.f64 -1/9 (.f64 (.f64 z (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 8)) 1/9))) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 -1/3 z) (+.f64 (.f64 -1/3 (.f64 (.f64 z (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 5)) 1/9))) (+.f64 (.f64 -1/3 (.f64 (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))) 1/9)))) z) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 5)) 1/9))) (.f64 -1/27 (.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 2)) 1/3)))))) (pow.f64 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(log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))) 1/9)))) (pow.f64 y 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/3 (.f64 z (pow.f64 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 4) 1/9))) (.f64 -1/3 (.f64 z (pow.f64 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 4) 1/9)))) y)) (+.f64 (.f64 (/.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 4)) 1/9))) (.f64 2/3 (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))) 1/9)))) (pow.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))) 1/3)))) (pow.f64 y 2)) (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 1/3)) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))))))) t)
(-.f64 (*.f64 (log.f64 y) x) t)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (log.f64 (+.f64 1 y)) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9))) (.f64 1/3 (.f64 (log.f64 (+.f64 1 y)) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))) z) (.f64 (log.f64 y) x)) t)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9))) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))) (pow.f64 (.f64 (log.f64 y) x) 1/3)))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (log.f64 (+.f64 1 y)) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9))) (.f64 1/3 (.f64 (log.f64 (+.f64 1 y)) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))) z) (*.f64 (log.f64 y) x))) t)
(-.f64 (+.f64 (.f64 (+.f64 (.f64 -1/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9))) (+.f64 (.f64 2/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9))) (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))) (pow.f64 (.f64 (log.f64 y) x) 1/3)))) (pow.f64 z 2)) (+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (log.f64 (+.f64 1 y)) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9))) (.f64 1/3 (.f64 (log.f64 (+.f64 1 y)) (pow.f64 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4)) 1/9)))) z) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (.f64 1/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 4) (pow.f64 x 4))) 1/9)))) (log.f64 (+.f64 1 y))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/9))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (+.f64 (.f64 (+.f64 (.f64 -2/27 (/.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (.f64 (log.f64 y) x))) (.f64 -2/3 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/3)))) (pow.f64 (.f64 (log.f64 y) x) 1/3)) (.f64 -1/3 (+.f64 (.f64 1/27 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))))))) (pow.f64 z 3)) (*.f64 (log.f64 y) x)))) t)
(*.f64 -1 t)
(*.f64 -1 t)
(+.f64 (.f64 (log.f64 y) x) (.f64 (log.f64 (+.f64 1 y)) z))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z)))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z)))
(*.f64 -1 t)
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z)))
(+.f64 (.f64 -1 t) (+.f64 (.f64 (log.f64 y) x) (*.f64 (log.f64 (+.f64 1 y)) z)))

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

eval448.0ms (5.2%)

Compiler: Compiled 23162 to 14802 computations (36.1% saved)

prune470.0ms (5.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	269	4	273
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	271	9	280

Error

0.0b

Counts

280 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	40.0b	(-.f64 (/.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)))))) t)
▶	9.7b	(-.f64 (.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))) t)
	39.1b	(.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) 2) (.f64 t t)) (/.f64 1 (+.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) t)))
✓	9.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
	10.1b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) t)) 2) (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))
	9.9b	(-.f64 (.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))))) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	33.5b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)
	36.0b	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) t)

Compiler

Compiled 454 to 236 computations (48% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series66.0ms (0.8%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))
4.0ms	z	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2)
4.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2)
4.0ms	y	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2)
4.0ms	y	@	-inf	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))

rewrite58.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

513×	`log-prod_binary64`
211×	`prod-diff_binary64`
198×	`expm1-udef_binary64`
198×	`log1p-udef_binary64`
185×	`pow3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	254	52
2	2735	52

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs

(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)

(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))) (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1/6) (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/6) 1/3) (pow.f64 (pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/6) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/9 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/9 (log.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))))))))))

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

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

simplify188.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
566×	`times-frac_binary64`
342×	`*-commutative_binary64`
205×	`+-commutative_binary64`
162×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	796	15443
1	2808	14642

Stop Event

1×	node limit

Counts

163 → 249

Calls

Call 1

Inputs
(pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/9)
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 8) (pow.f64 z 8))) 1/9) (.f64 (log.f64 y) x))) (pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/9))
(+.f64 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/9) (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)))) (.f64 -1/18 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))))) (pow.f64 x 2))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 8) (pow.f64 z 8))) 1/9) (.f64 (log.f64 y) x))) (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/9)))
(+.f64 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/9) (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)))) (.f64 -1/18 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))))) (pow.f64 x 2))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 8) (pow.f64 z 8))) 1/9) (.f64 (log.f64 y) x))) (+.f64 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/9) (.f64 (+.f64 (.f64 1/4374 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 z 3)))) (+.f64 (.f64 1/27 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 z 3)))) (.f64 -1/162 (/.f64 (pow.f64 (log.f64 y) 3) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 z 3)))))) (pow.f64 x 3))) (pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/9))))
(exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y)))))
(+.f64 (.f64 1/9 (/.f64 (.f64 (log.f64 (+.f64 1 y)) (.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y))))) z)) (.f64 (log.f64 y) x))) (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 (log.f64 y))))))
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(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (log.f64 (+.f64 1 y)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (log.f64 (+.f64 1 y)))))) 2) (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 (log.f64 (+.f64 1 y)))))) 2) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))))
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(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) 2)
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Outputs
(pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/9)
(.f64 (pow.f64 (.f64 (log1p.f64 y) z) 1/18) (pow.f64 (*.f64 (log1p.f64 y) z) 1/18))
(+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 8) (pow.f64 z 8))) 1/9) (.f64 (log.f64 y) x))) (pow.f64 (*.f64 (log.f64 (+.f64 1 y)) z) 1/9))
(fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log1p.f64 y) 8) (pow.f64 z 8))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log1p.f64 y) 8) (pow.f64 z 8))) 1/18)) (.f64 (log.f64 y) x)) (.f64 (pow.f64 (.f64 (log1p.f64 y) z) 1/18) (pow.f64 (.f64 (log1p.f64 y) z) 1/18)))
(+.f64 (.f64 (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/9) (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)))) (.f64 -1/18 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2))))) (pow.f64 x 2))) (+.f64 (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 8) (pow.f64 z 8))) 1/9) (.f64 (log.f64 y) x))) (pow.f64 (.f64 (log.f64 (+.f64 1 y)) z) 1/9)))
(fma.f64 (.f64 (pow.f64 (.f64 (log1p.f64 y) z) 1/18) (pow.f64 (.f64 (log1p.f64 y) z) 1/18)) (.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 2) (.f64 (pow.f64 (log1p.f64 y) 2) (.f64 z z))) -4/81) (.f64 x x)) (fma.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log1p.f64 y) 8) (pow.f64 z 8))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log1p.f64 y) 8) (pow.f64 z 8))) 1/18)) (.f64 (log.f64 y) x)) (.f64 (pow.f64 (.f64 (log1p.f64 y) z) 1/18) (pow.f64 (.f64 (log1p.f64 y) z) 1/18))))
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(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2)
(+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2))
(fma.f64 2/9 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2) (log1p.f64 y)) (/.f64 (.f64 (log.f64 y) x) z)) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2))
(fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (*.f64 (/.f64 z (log.f64 y)) (/.f64 (log1p.f64 y) x))) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2))
(+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2) (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (log.f64 (+.f64 1 y)) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (log.f64 (+.f64 1 y)) 2))))) (pow.f64 z 2))) (+.f64 (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2))))
(fma.f64 2/9 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2) (log1p.f64 y)) (/.f64 (.f64 (log.f64 y) x) z)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2) (/.f64 (.f64 z z) (.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (pow.f64 (log1p.f64 y) 2)) -4/81))) (fma.f64 1/81 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2) (pow.f64 (log1p.f64 y) 2)) (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (.f64 z z))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2))))
(fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (.f64 (/.f64 z (log.f64 y)) (/.f64 (log1p.f64 y) x))) (fma.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (pow.f64 (log1p.f64 y) 2) (.f64 x x))) -4/81) z) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2) z)) (fma.f64 1/81 (.f64 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (pow.f64 (log1p.f64 y) 2) (.f64 x x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (*.f64 z z))) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2))))
(+.f64 (.f64 2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2) (.f64 (log.f64 y) x)) (.f64 (log.f64 (+.f64 1 y)) z))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -2/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2) (.f64 (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (log.f64 (+.f64 1 y)) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (log.f64 (+.f64 1 y)) 2)))) (.f64 (log.f64 y) x))) (log.f64 (+.f64 1 y)))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2) (+.f64 (.f64 1/162 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 (log.f64 (+.f64 1 y)) 3))) (+.f64 (.f64 -1/4374 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 (log.f64 (+.f64 1 y)) 3))) (.f64 -1/27 (/.f64 (.f64 (pow.f64 (log.f64 y) 3) (pow.f64 x 3)) (pow.f64 (log.f64 (+.f64 1 y)) 3)))))))) (pow.f64 z 3))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2) (+.f64 (.f64 -1/18 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (log.f64 (+.f64 1 y)) 2))) (.f64 1/162 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2)) (pow.f64 (log.f64 (+.f64 1 y)) 2))))) (pow.f64 z 2))) (+.f64 (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (.f64 -1 (log.f64 (/.f64 -1 z)))))) 2) (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (.f64 -1 (log.f64 (+.f64 1 y)))) (*.f64 -1 (log.f64 (/.f64 -1 z)))))) 2)))))
(fma.f64 2/9 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2) (log1p.f64 y)) (/.f64 (.f64 (log.f64 y) x) z)) (fma.f64 -1 (/.f64 (fma.f64 -2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2) (/.f64 (log1p.f64 y) (.f64 (.f64 (log.f64 y) x) (.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (pow.f64 (log1p.f64 y) 2)) -4/81)))) (.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2) (fma.f64 1/162 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 (log1p.f64 y) 3) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 (log1p.f64 y) 3) (pow.f64 x 3))) -163/4374))))) (pow.f64 z 3)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2) (/.f64 (.f64 z z) (.f64 (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (pow.f64 (log1p.f64 y) 2)) -4/81))) (fma.f64 1/81 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2) (pow.f64 (log1p.f64 y) 2)) (/.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) (.f64 z z))) (pow.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (neg.f64 (log1p.f64 y))) (neg.f64 (log.f64 (/.f64 -1 z))))) 2)))))
(fma.f64 2/9 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (.f64 (/.f64 z (log.f64 y)) (/.f64 (log1p.f64 y) x))) (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (pow.f64 (log1p.f64 y) 2) (.f64 x x))) -4/81) z) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2) z)) (fma.f64 1/81 (.f64 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (pow.f64 (log1p.f64 y) 2) (.f64 x x))) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (.f64 z z))) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2))) (/.f64 (fma.f64 2 (.f64 (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2) (fma.f64 1/162 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 (log1p.f64 y) 3) (pow.f64 x 3))) (.f64 (/.f64 (pow.f64 (log.f64 y) 3) (/.f64 (pow.f64 (log1p.f64 y) 3) (pow.f64 x 3))) -163/4374))) (/.f64 (.f64 -2/9 (.f64 (.f64 (.f64 (log.f64 y) x) (.f64 (/.f64 (pow.f64 (log.f64 y) 2) (/.f64 (pow.f64 (log1p.f64 y) 2) (*.f64 x x))) -4/81)) (pow.f64 (pow.f64 (exp.f64 1/9) (-.f64 (log.f64 (neg.f64 (log1p.f64 y))) (log.f64 (/.f64 -1 z)))) 2))) (log1p.f64 y))) (pow.f64 z 3))))

eval757.0ms (8.8%)

Compiler: Compiled 52405 to 27978 computations (46.6% saved)

prune1.1s (12.7%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	521	5	526
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	522	13	535

Error

0.0b

Counts

535 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	10.0b	(-.f64 (.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 (.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)) 2))) t)
	39.1b	(.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) 2) (.f64 t t)) (/.f64 1 (+.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) t)))
✓	9.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
▶	9.6b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.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))) t)
	10.1b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) t)) 2) (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))
	25.3b	(-.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) 1/18) (pow.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) 1/18)) (.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))) t)
	9.9b	(-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))))) 3) 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))) t)
	9.8b	(-.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))))) 2))) 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))) t)
	9.9b	(-.f64 (.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))))) t)
	33.5b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)
✓	9.7b	(-.f64 (.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))) t)
	36.0b	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) t)

Compiler

Compiled 821 to 421 computations (48.7% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2))
	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))))
✓	0.6b	(cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y))))
	0.6b	(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))))

series45.0ms (0.5%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
12.0ms	y	@	inf	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2))
5.0ms	y	@	-inf	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2))
4.0ms	z	@	inf	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2))
4.0ms	x	@	0	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2))
3.0ms	y	@	0	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (*.f64 x (log.f64 y)))) 2))

rewrite48.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`expm1-log1p-u_binary64`
883×	`log1p-expm1-u_binary64`
110×	`add-sqr-sqrt_binary64`
109×	`pow1_binary64`
107×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	232	33
2	2541	33

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

592×	`fma-def_binary64`
386×	`times-frac_binary64`
342×	`associate-/r*_binary64`
265×	`associate-/l*_binary64`
236×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	549	8824
1	1930	7758

Stop Event

1×	node limit

Counts

99 → 151

Calls

Call 1

Inputs
(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))))
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.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 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 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.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 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 -1/3 (.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))) (pow.f64 z 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))))))
(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 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 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 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 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 1/3 (.f64 (.f64 (pow.f64 y 3) (-.f64 (.f64 1/3 z) (+.f64 (.f64 1/27 (.f64 (pow.f64 z 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9)))) z) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/9)))))) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))))))
(pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 1/3) (.f64 1/3 (.f64 (/.f64 z y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/9))))
(+.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))) 1/9) (pow.f64 z 2)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/3))) (.f64 1/3 (.f64 (/.f64 z y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (*.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/9)))))
(+.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 1/3 z) (+.f64 (.f64 1/27 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/3) (pow.f64 z 3))) (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 5)) 1/9) (.f64 z (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))) 1/9) (pow.f64 z 2))))))))) (pow.f64 y 3)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x)))) 1/9) (pow.f64 z 2)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/3))) (.f64 1/3 (.f64 (/.f64 z y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/9))))))
(pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 1/3)
(+.f64 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 1/3) (.f64 1/3 (.f64 (/.f64 z y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 2)) 1/9))))
(+.f64 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 1/3) (+.f64 (.f64 1/3 (.f64 (/.f64 z y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 2)) 1/9))) (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z))) 1/9)))) (pow.f64 y 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) x) (.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) z)) 2)) 1/3)))))
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(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -4/2187 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 z 3)) (pow.f64 (log.f64 y) 3))) (+.f64 (.f64 -1/81 (/.f64 (.f64 (log.f64 (+.f64 1 y)) (.f64 (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (log.f64 y) 2))) (.f64 2 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (log.f64 y) 2)))) z)) (log.f64 y))) (.f64 1/54 (+.f64 (.f64 12 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 z 3)) (pow.f64 (log.f64 y) 3))) (.f64 -16 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 z 3)) (pow.f64 (log.f64 y) 3)))))))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2/81 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (log.f64 y) 2))) (.f64 1/18 (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (log.f64 y) 2))) (.f64 2 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (log.f64 y) 2)))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x))))))) (pow.f64 x 2)) (.f64 2/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x)))))) (.f64 (log.f64 (+.f64 1 y)) z)) (.f64 (log.f64 y) x))))))

Outputs
(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 1/3 (.f64 (log1p.f64 y) (.f64 z (.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))))))
(fma.f64 (.f64 1/3 (.f64 (log1p.f64 y) z)) (.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)))
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.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 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)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (log1p.f64 y) 2) (.f64 z z)) (.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 1/3 (.f64 (log1p.f64 y) (.f64 z (.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 (cbrt.f64 (.f64 (log.f64 y) x)) (fma.f64 1/3 (.f64 (log1p.f64 y) (.f64 z (.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 (pow.f64 (log1p.f64 y) 2) (.f64 z z))) (.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 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.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 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 -1/3 (.f64 (.f64 (+.f64 (.f64 1/27 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3)))) (pow.f64 z 3)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 1/3))))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (log1p.f64 y) 2) (.f64 z z)) (.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))) (fma.f64 1/3 (.f64 (log1p.f64 y) (.f64 z (.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 -1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 (.f64 (.f64 (pow.f64 (log1p.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))) -5/27) (pow.f64 z 3)))))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (fma.f64 -1/9 (.f64 (.f64 (pow.f64 (log1p.f64 y) 2) (.f64 z z)) (.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))) (fma.f64 1/3 (.f64 (log1p.f64 y) (.f64 z (.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 -1/3 (.f64 (.f64 (.f64 (pow.f64 (log1p.f64 y) 3) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))))) -5/27) (pow.f64 z 3))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x))))))))
(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 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 1/3 (.f64 y (.f64 z (.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))))))
(fma.f64 (.f64 1/3 (.f64 y z)) (.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)))
(+.f64 (pow.f64 (.f64 (log.f64 y) x) 1/3) (+.f64 (.f64 1/3 (.f64 (.f64 (pow.f64 y 2) (-.f64 (.f64 -1/2 z) (.f64 1/3 (.f64 (pow.f64 z 2) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/9))))) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (pow.f64 x 2))) 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 (cbrt.f64 (.f64 (log.f64 y) x)) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 (.f64 y y) (-.f64 (.f64 z -1/2) (.f64 1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18))))))) (.f64 y (.f64 z (.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)))))))
(fma.f64 1/3 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 (.f64 y y) (fma.f64 z -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18)))))) (.f64 y (.f64 z (.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)))
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(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 (.f64 y y) (-.f64 (.f64 z -1/2) (.f64 1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18))))))) (.f64 1/3 (+.f64 (.f64 y (.f64 z (.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 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 (pow.f64 y 3) (-.f64 (.f64 1/3 z) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (pow.f64 z 3)) (.f64 2/3 (.f64 (-.f64 (.f64 z -1/2) (.f64 1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18))))) (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/18)))))))))))))
(+.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (.f64 1/3 (+.f64 (fma.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 (.f64 y y) (fma.f64 z -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18)))))) (.f64 y (.f64 z (.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 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)))) (.f64 (pow.f64 y 3) (-.f64 (.f64 1/3 z) (fma.f64 2/3 (.f64 (fma.f64 z -1/2 (.f64 -1/3 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18) (pow.f64 (/.f64 1 (.f64 (log.f64 y) x)) 1/18))))) (.f64 z (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 5) (pow.f64 x 5))) 1/18)))) (.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (log.f64 y) 2) (*.f64 x x)))) (pow.f64 z 3))))))))))
(pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 1/3)
(cbrt.f64 (fma.f64 -1 (.f64 z (neg.f64 (log.f64 y))) (neg.f64 (.f64 x (neg.f64 (log.f64 y))))))
(cbrt.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 x z)))
(+.f64 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 1/3) (.f64 1/3 (.f64 (/.f64 z y) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) z)) (.f64 -1 (.f64 (log.f64 (/.f64 1 y)) x))) 2)) 1/9))))
(+.f64 (cbrt.f64 (fma.f64 -1 (.f64 z (neg.f64 (log.f64 y))) (neg.f64 (.f64 x (neg.f64 (log.f64 y)))))) (.f64 1/3 (.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 z (neg.f64 (log.f64 y))) (neg.f64 (.f64 x (neg.f64 (log.f64 y))))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 -1 (.f64 z (neg.f64 (log.f64 y))) (neg.f64 (*.f64 x (neg.f64 (log.f64 y))))) 2)) 1/18)))))
(fma.f64 1/3 (.f64 (/.f64 z y) (.f64 (pow.f64 (/.f64 1 (pow.f64 (.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 x z)) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 x z)) 2)) 1/18))) (cbrt.f64 (*.f64 (neg.f64 (neg.f64 (log.f64 y))) (+.f64 x z))))
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(+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 2/9 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x))))) (log.f64 y)) (/.f64 (.f64 (log1p.f64 y) z) x))) (/.f64 (fma.f64 2/81 (/.f64 (pow.f64 (log1p.f64 y) 2) (/.f64 (pow.f64 (log.f64 y) 2) (.f64 z z))) (.f64 1/18 (.f64 (/.f64 (pow.f64 (log1p.f64 y) 2) (/.f64 (pow.f64 (log.f64 y) 2) (.f64 z z))) -2))) (/.f64 (.f64 x x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (*.f64 -2 (log.f64 (/.f64 -1 x)))))))))
(+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 (pow.f64 (log.f64 y) 2)))) (fma.f64 2/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 (pow.f64 (log.f64 y) 2)))) (.f64 (/.f64 (log.f64 y) (log1p.f64 y)) (/.f64 x z))) (.f64 (/.f64 (fma.f64 1/18 (.f64 (/.f64 (.f64 z z) (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log1p.f64 y) 2))) -2) (.f64 2/81 (/.f64 (.f64 z z) (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log1p.f64 y) 2))))) x) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 (pow.f64 (log.f64 y) 2)))) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 -4/2187 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 z 3)) (pow.f64 (log.f64 y) 3))) (+.f64 (.f64 -1/81 (/.f64 (.f64 (log.f64 (+.f64 1 y)) (.f64 (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (log.f64 y) 2))) (.f64 2 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (log.f64 y) 2)))) z)) (log.f64 y))) (.f64 1/54 (+.f64 (.f64 12 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 z 3)) (pow.f64 (log.f64 y) 3))) (.f64 -16 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 3) (pow.f64 z 3)) (pow.f64 (log.f64 y) 3)))))))) (pow.f64 x 3))) (+.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x)))))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2/81 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (log.f64 y) 2))) (.f64 1/18 (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (log.f64 y) 2))) (.f64 2 (/.f64 (.f64 (pow.f64 (log.f64 (+.f64 1 y)) 2) (pow.f64 z 2)) (pow.f64 (log.f64 y) 2)))))) (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x))))))) (pow.f64 x 2)) (.f64 2/9 (/.f64 (.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x)))))) (.f64 (log.f64 (+.f64 1 y)) z)) (.f64 (log.f64 y) x))))))
(fma.f64 -1 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x))))) (/.f64 (pow.f64 x 3) (fma.f64 -4/2187 (/.f64 (pow.f64 (log1p.f64 y) 3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 z 3))) (fma.f64 -1/81 (/.f64 (log1p.f64 y) (/.f64 (log.f64 y) (.f64 z (.f64 (/.f64 (pow.f64 (log1p.f64 y) 2) (/.f64 (pow.f64 (log.f64 y) 2) (.f64 z z))) -2)))) (.f64 1/54 (.f64 (/.f64 (pow.f64 (log1p.f64 y) 3) (/.f64 (pow.f64 (log.f64 y) 3) (pow.f64 z 3))) -4)))))) (+.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x))))) (+.f64 (.f64 2/9 (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (.f64 -2 (log.f64 (/.f64 -1 x))))) (log.f64 y)) (/.f64 (.f64 (log1p.f64 y) z) x))) (/.f64 (fma.f64 2/81 (/.f64 (pow.f64 (log1p.f64 y) 2) (/.f64 (pow.f64 (log.f64 y) 2) (.f64 z z))) (.f64 1/18 (.f64 (/.f64 (pow.f64 (log1p.f64 y) 2) (/.f64 (pow.f64 (log.f64 y) 2) (.f64 z z))) -2))) (/.f64 (.f64 x x) (pow.f64 (exp.f64 1/9) (+.f64 (log.f64 (pow.f64 (log.f64 y) 2)) (*.f64 -2 (log.f64 (/.f64 -1 x))))))))))
(-.f64 (+.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 (pow.f64 (log.f64 y) 2)))) (fma.f64 2/9 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 (pow.f64 (log.f64 y) 2)))) (.f64 (/.f64 (log.f64 y) (log1p.f64 y)) (/.f64 x z))) (.f64 (/.f64 (fma.f64 1/18 (.f64 (/.f64 (.f64 z z) (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log1p.f64 y) 2))) -2) (.f64 2/81 (/.f64 (.f64 z z) (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log1p.f64 y) 2))))) x) (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 (pow.f64 (log.f64 y) 2)))) x)))) (.f64 (/.f64 (pow.f64 (exp.f64 1/9) (fma.f64 -2 (log.f64 (/.f64 -1 x)) (log.f64 (pow.f64 (log.f64 y) 2)))) (pow.f64 x 3)) (fma.f64 -4/2187 (.f64 (/.f64 (pow.f64 (log1p.f64 y) 3) (pow.f64 (log.f64 y) 3)) (pow.f64 z 3)) (fma.f64 1/54 (.f64 (.f64 (/.f64 (pow.f64 (log1p.f64 y) 3) (pow.f64 (log.f64 y) 3)) (pow.f64 z 3)) -4) (.f64 -1/81 (.f64 (/.f64 (log1p.f64 y) (log.f64 y)) (.f64 z (.f64 (/.f64 (*.f64 z z) (/.f64 (pow.f64 (log.f64 y) 2) (pow.f64 (log1p.f64 y) 2))) -2))))))))

eval488.0ms (5.7%)

Compiler: Compiled 35239 to 19213 computations (45.5% saved)

prune682.0ms (8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	365	3	368
Fresh	2	7	9
Picked	0	1	1
Done	0	3	3
Total	367	14	381

Error

0.0b

Counts

381 → 14

Alt Table

Click to see full alt table

Status	Error	Program
	9.6b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))) 2)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))))) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))) t)
	10.1b	(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) t)) 2) (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))
	9.7b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))) 2)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))))) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))) t)
	9.8b	(-.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))))) 2))) 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))) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	10.0b	(-.f64 (.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 (.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)) 2))) t)
✓	9.6b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
✓	9.6b	(-.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.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))) t)
	10.9b	(-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))) 2) 1/3) (.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))) t)
	25.3b	(-.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) 1/18) (pow.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) 1/18)) (.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))) t)
	9.9b	(-.f64 (.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))))) t)
	33.5b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)
✓	9.7b	(-.f64 (.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))) t)
	36.0b	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) t)

Compiler

Compiled 514 to 261 computations (49.2% saved)

regimes81.0ms (0.9%)

Accuracy

Total -56.8b remaining (-45448.2%)

Threshold costs -56.8b (-45448.2%)

Counts

20 → 1

Calls

Call 1

Inputs
(-.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))) 2)) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))))) 3)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))) t)
(-.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))) 2)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))))) 2)) (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2))) t)
(-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))) 2) 1/3) (.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))) t)
(-.f64 (.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 (.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)) 2))) t)
(-.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.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))) t)
(-.f64 (.f64 (.f64 (pow.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) 1/18) (pow.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x)) 1/18)) (.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))) t)
(-.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))))) 3) 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))) t)
(-.f64 (.f64 (pow.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y))))) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 z (log1p.f64 y) (.f64 x (log.f64 y)))))) 2))) 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))) t)
(-.f64 (/.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)))))) t)
(-.f64 (.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))) t)
(-.f64 (.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))))) t)
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)
(-.f64 (cbrt.f64 (pow.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) 3)) t)
(-.f64 (/.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)))))) t)
(.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) 2) (.f64 t t)) (/.f64 1 (+.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) t)))
(-.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 3) t)
(.f64 (pow.f64 (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 y))) t)) 2) (cbrt.f64 (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y))) t)))
(-.f64 (pow.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 y)))) 2) t)
(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)

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

Results

Time	Error	Segments	Branch
10.0ms	0.1b	1	`x`
12.0ms	0.1b	1	`y`
11.0ms	0.1b	1	`z`
11.0ms	0.1b	1	`t`
11.0ms	0.1b	1	`(-.f64 (+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y)))) t)`
12.0ms	0.1b	1	`(+.f64 (.f64 x (log.f64 y)) (.f64 z (log.f64 (-.f64 1 y))))`

Compiler

Compiled 691 to 220 computations (68.2% saved)

simplify2.0ms (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 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)

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

end17.0ms (0.2%)

Stop Event

1×

fuel

Compiler

Compiled 30 to 20 computations (33.3% saved)

Details

analyze530.0ms (6.2%)

sample2.4s (28.1%)

preprocess56.0ms (0.7%)

simplify40.0ms (0.5%)

eval1.0ms (0%)

prune2.0ms (0%)

localize9.0ms (0.1%)

series74.0ms (0.9%)

rewrite52.0ms (0.6%)

simplify76.0ms (0.9%)

eval43.0ms (0.5%)

prune242.0ms (2.8%)

localize14.0ms (0.2%)

series94.0ms (1.1%)

rewrite92.0ms (1.1%)

simplify217.0ms (2.5%)

eval448.0ms (5.2%)

prune470.0ms (5.5%)

localize17.0ms (0.2%)

series66.0ms (0.8%)

rewrite58.0ms (0.7%)

simplify188.0ms (2.2%)

eval757.0ms (8.8%)

prune1.1s (12.7%)

localize24.0ms (0.3%)

series45.0ms (0.5%)

rewrite48.0ms (0.6%)

simplify140.0ms (1.6%)

eval488.0ms (5.7%)

prune682.0ms (8%)

regimes81.0ms (0.9%)

simplify2.0ms (0%)

end17.0ms (0.2%)

Profiling