Details

analyze215.0ms (1.6%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	74.9%	0.1%	0%	25%	0%	6
8.3%	6.2%	68.6%	0.1%	0%	25%	0%	7
12.5%	9.4%	65.5%	0.1%	0%	25%	0%	8
28.1%	14%	35.9%	0.1%	12.5%	37.4%	0%	9
42.2%	21.1%	28.9%	0.1%	12.5%	37.4%	0%	10
49.2%	24.6%	25.4%	0.1%	12.5%	37.4%	0%	11
57.4%	28.7%	21.3%	0.1%	12.5%	37.4%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.4s (10.3%)

Results

1.3s	8255×	body	256	valid
4.0ms	34×	body	256	infinite
0.0ms	1×	body	512	valid

Bogosity

preprocess112.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

777×	`sub-neg_binary64`
518×	`neg-sub0_binary64`
375×	`+-commutative_binary64`
365×	`fma-def_binary64`
351×	`distribute-neg-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	72
1	75	72
2	242	64
3	1069	64
4	3186	64
5	4936	64
6	6454	64
7	7487	64
8	7748	64
9	7960	64
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify136.0ms (1%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-neg_binary64`
608×	`unsub-neg_binary64`
579×	`distribute-rgt-in_binary64`
435×	`sub-neg_binary64`
406×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	25	18
2	77	16
3	313	16
4	983	16
5	2897	16
6	4515	16
7	5009	16
8	5174	16
9	5201	16
10	5218	16
11	5528	16
12	6396	16
13	7994	16

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 26 to 15 computations (42.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
▶	0.1b	(+.f64 x (-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z)))

Compiler

Compiled 29 to 19 computations (34.5% saved)

localize25.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))
✓	0.1b	(fma.f64 (-.f64 y -1/2) (log.f64 y) z)

Compiler

Compiled 39 to 19 computations (51.3% saved)

series20.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	(fma.f64 (-.f64 y -1/2) (log.f64 y) z)
5.0ms	y	@	0	(fma.f64 (-.f64 y -1/2) (log.f64 y) z)
3.0ms	z	@	0	(fma.f64 (-.f64 y -1/2) (log.f64 y) z)
2.0ms	y	@	inf	(fma.f64 (-.f64 y -1/2) (log.f64 y) z)
1.0ms	y	@	-inf	(-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

497×	`prod-diff_binary64`
493×	`unpow-prod-down_binary64`
398×	`log-prod_binary64`
272×	`pow-prod-down_binary64`
260×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	180	23
2	2429	23

Stop Event

1×	node limit

Counts

2 → 142

Calls

Call 1

Inputs
(fma.f64 (-.f64 y -1/2) (log.f64 y) z)
(-.f64 y (fma.f64 (-.f64 y -1/2) (log.f64 y) z))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 z (.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) 1) z)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2) (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 2) 3) (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) 3) (pow.f64 z 3)) (+.f64 (pow.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) 2) (-.f64 (.f64 z z) (.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) z))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) 2) (.f64 z z)) (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) z))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 z) (exp.f64 (.f64 (+.f64 y 1/2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 z)) (exp.f64 (.f64 (+.f64 y 1/2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (+.f64 y 1/2) (log.f64 y))) (+.f64 1 (expm1.f64 z))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (neg.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (.f64 (neg.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (fma.f64 (neg.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2) (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (+.f64 (neg.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (fma.f64 -1 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2)) (cbrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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Outputs

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

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

839×	`fma-neg_binary64`
745×	`fma-def_binary64`
420×	`sub-neg_binary64`
374×	`distribute-rgt-in_binary64`
327×	`associate--l-_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	52	649
1	169	579
2	442	487
3	1257	487
4	3622	487
5	6568	487
6	7901	487

Stop Event

1×	node limit

Counts

190 → 169

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
✓	0.2b	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 48 to 25 computations (47.9% saved)

series6.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
1.0ms	x	@	-inf	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.0ms	x	@	inf	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.0ms	y	@	inf	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.0ms	y	@	0	(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite76.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

556×	`fma-def_binary64`
514×	`log-prod_binary64`
379×	`pow-prod-down_binary64`
302×	`fma-neg_binary64`
292×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	24
1	212	24
2	3192	24

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

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

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

simplify87.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

782×	`fma-neg_binary64`
694×	`fma-def_binary64`
613×	`unsub-neg_binary64`
510×	`sub-neg_binary64`
384×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	426
1	142	410
2	382	370
3	1091	370
4	3173	370
5	5654	370
6	7480	370

Stop Event

1×	node limit

Counts

132 → 117

Calls

Call 1

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

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

eval124.0ms (0.9%)

Compiler: Compiled 5963 to 3448 computations (42.2% saved)

prune95.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	274	12	286
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	276	12	288

Error

0.0b

Counts

288 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	23.3b	(-.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) z)
	25.0b	(+.f64 x (fma.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) (neg.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) y))
▶	1.6b	(+.f64 x (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2) 3) (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))
▶	19.6b	(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y) z)
	39.6b	(+.f64 x (-.f64 y (cbrt.f64 (pow.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z) 3))))
▶	28.7b	(-.f64 x z)
	39.6b	(+.f64 x (cbrt.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 3)))
▶	24.4b	(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
▶	16.9b	(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z)
	25.1b	(+.f64 x (-.f64 y (pow.f64 (sqrt.f64 (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 2)))
	29.2b	(+.f64 x (-.f64 y z))
	22.0b	(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)

Compiler

Compiled 380 to 260 computations (31.6% saved)

localize58.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))
✓	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2)
✓	0.6b	(cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))
✓	0.7b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2) 3)

Compiler

Compiled 133 to 78 computations (41.4% saved)

series88.0ms (0.7%)

Counts

4 → 80

Calls

24 calls:

Time	Variable		Point	Expression
17.0ms	y	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2) 3)
14.0ms	y	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2) 3)
9.0ms	z	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2) 3)
9.0ms	y	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2) 3)
8.0ms	z	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2) 3)

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`log-prod_binary64`
545×	`prod-diff_binary64`
348×	`pow2_binary64`
294×	`fma-def_binary64`
239×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	72
1	307	70
2	3605	70

Stop Event

1×	node limit

Counts

4 → 112

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2) 3)
(cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2)
(cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))

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

simplify433.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

961×	`fma-def_binary64`
553×	`distribute-rgt-in_binary64`
551×	`distribute-lft-in_binary64`
466×	`times-frac_binary64`
370×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	831	22399
1	3090	19684

Stop Event

1×	node limit

Counts

192 → 272

Calls

Call 1

Inputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2) 1/3))
(+.f64 (.f64 y (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y)))))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z)) 1/3)))))) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2) 1/3)))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)))))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 16)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2)))))) (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 14)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 4)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)))))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 16)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))))) (.f64 -2/9 (.f64 (.f64 (-.f64 1 (log.f64 y)) (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y)))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 7)) 1/9)))))) (+.f64 (.f64 y (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y)))))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z)) 1/3)))))) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2) 1/3))))
(+.f64 (.f64 (pow.f64 y 2) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)))))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 16)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2)))))) (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 14)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 4)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)))))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 16)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))))) (.f64 -2/9 (.f64 (.f64 (-.f64 1 (log.f64 y)) (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y)))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 7)) 1/9)))))) (+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y))))) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)))))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 16)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 4)) 1/9) (+.f64 (.f64 -2/9 (.f64 (.f64 (-.f64 1 (log.f64 y)) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 7)) 1/9))) (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 3))) (+.f64 (.f64 -1/27 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 3))) (.f64 -1/4374 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 3))))) (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9))))) (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -2/9 (.f64 (.f64 (-.f64 1 (log.f64 y)) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 7)) 1/9))) (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 3))) (+.f64 (.f64 -1/27 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 3))) (.f64 -1/4374 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 3))))) (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9)))))) (.f64 -4/9 (.f64 (.f64 (-.f64 1 (log.f64 y)) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)))))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 16)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 7)) 1/9))))) (.f64 -2/9 (.f64 (.f64 (-.f64 1 (log.f64 y)) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)))))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 16)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2)))))) (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 14)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 7)) 1/9))))))) (+.f64 (.f64 y (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y)))))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z)) 1/3)))))) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2) 1/3)))))
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(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) 1/9) z)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 7)) 1/9) (pow.f64 z 2))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) 1/3) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) 1/3))) (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) 1/3))) (pow.f64 z 3)))) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 1/3))))

Outputs
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2) 1/3))
(*.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)))
(cbrt.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2))
(+.f64 (.f64 y (+.f64 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y)))))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z)) 1/3)))))) (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2) 1/3)))
(fma.f64 y (fma.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2) 1/18)) (.f64 -2/9 (+.f64 (.f64 (-.f64 1 (log.f64 y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 5)) 1/18))) (.f64 (-.f64 1 (log.f64 y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 5)) 1/18))))) (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (cbrt.f64 (/.f64 1 (fma.f64 1/2 (log.f64 y) z)))))) (*.f64 1 (cbrt.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2))))
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(+.f64 (pow.f64 (pow.f64 z 2) 1/9) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/9) (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))))
(+.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (.f64 -2/9 (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18)))))
(fma.f64 -2/9 (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18))) (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)))
(+.f64 (pow.f64 (pow.f64 z 2) 1/9) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/9) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))))) (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/9) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (.f64 2 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/9))))))
(+.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (fma.f64 -2/9 (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18))) (fma.f64 1/81 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18))) (.f64 2 (.f64 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) -4/81) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18)))))))
(fma.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18) (fma.f64 -2/9 (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18))) (fma.f64 2 (.f64 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) -4/81) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18))) (.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18))) (pow.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) 2)))))
(+.f64 (pow.f64 (pow.f64 z 2) 1/9) (+.f64 (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/9) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))))) (+.f64 (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/9) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (+.f64 (.f64 1/27 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)) (+.f64 (.f64 1/4374 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)) (.f64 -1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)))))) (.f64 2/9 (.f64 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y)))) (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9)))) (pow.f64 z 3))) (.f64 2 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/9)))))))
(+.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (fma.f64 -2/9 (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18))) (fma.f64 1/81 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (fma.f64 1/27 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 3) (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 3) -13/2187))) (.f64 2/9 (.f64 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) -4/81) (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)))))) (pow.f64 z 3)) (.f64 2 (.f64 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) -4/81) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18))))))))
(fma.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18) (fma.f64 -2/9 (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 7)) 1/18))) (fma.f64 1/81 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18))) (-.f64 (.f64 2 (.f64 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) -4/81) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18)))) (/.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 3) 68/2187)) (.f64 (.f64 2/9 (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) -4/81))) (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)))) (pow.f64 z 3))))))
(.f64 (pow.f64 (.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)) 1/3) (cbrt.f64 -1))
(*.f64 (cbrt.f64 -1) (cbrt.f64 (fma.f64 1/2 (log.f64 y) z)))
(+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z)) 1/3) (cbrt.f64 -1)) (.f64 1/3 (.f64 (.f64 (-.f64 1 (log.f64 y)) y) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (log.f64 y) z)) (cbrt.f64 -1) (.f64 1/3 (.f64 (-.f64 1 (log.f64 y)) (.f64 y (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))))
(fma.f64 1/3 (.f64 (.f64 (.f64 y (-.f64 1 (log.f64 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (fma.f64 1/2 (log.f64 y) z))))
(+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z)) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 y 2)) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (.f64 1/3 (.f64 (.f64 (-.f64 1 (log.f64 y)) y) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3))))))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (log.f64 y) z)) (cbrt.f64 -1) (fma.f64 -1/9 (.f64 (.f64 (.f64 y y) (pow.f64 (-.f64 1 (log.f64 y)) 2)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (.f64 1/3 (.f64 (-.f64 1 (log.f64 y)) (.f64 y (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 (fma.f64 1/2 (log.f64 y) z)) (fma.f64 1/3 (.f64 (.f64 (.f64 y (-.f64 1 (log.f64 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (.f64 -1/9 (.f64 (.f64 y y) (pow.f64 (-.f64 1 (log.f64 y)) 2))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)))))))
(+.f64 (.f64 (pow.f64 (.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z)) 1/3) (cbrt.f64 -1)) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/3) (/.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 1/27 (.f64 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/3))) (.f64 -2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/3)))))) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/9 (.f64 (.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 y 2)) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 7)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7)) 1/3)))) (.f64 1/3 (.f64 (.f64 (-.f64 1 (log.f64 y)) y) (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3)))))))
(fma.f64 (cbrt.f64 (fma.f64 1/2 (log.f64 y) z)) (cbrt.f64 -1) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2))) (/.f64 (.f64 (pow.f64 y 3) (fma.f64 1/27 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2))) (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (cbrt.f64 -1) 2))) (.f64 -2/9 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2))) (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (cbrt.f64 -1) 2)))))) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1/9 (.f64 (.f64 (.f64 y y) (pow.f64 (-.f64 1 (log.f64 y)) 2)) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))) (.f64 1/3 (.f64 (-.f64 1 (log.f64 y)) (.f64 y (.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))))))))
(fma.f64 (cbrt.f64 -1) (cbrt.f64 (fma.f64 1/2 (log.f64 y) z)) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2))) (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 -1) 2)) (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2))) (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (cbrt.f64 -1) 2))) -5/27))) (fma.f64 1/3 (.f64 (.f64 (.f64 y (-.f64 1 (log.f64 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 2)) 1/18))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (.f64 (.f64 -1/9 (.f64 (.f64 y y) (pow.f64 (-.f64 1 (log.f64 y)) 2))) (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 7)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 7))))))))
(pow.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/3)
(cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) 1/9) z)) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 1/3))
(fma.f64 -1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2)) 1/18))) (cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) 1/9) z)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 7)) 1/9) (pow.f64 z 2))) (pow.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) 1/3)))
(fma.f64 -1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 7)) 1/18))) (cbrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))))))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) 1/9) z)) (+.f64 (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 7)) 1/9) (pow.f64 z 2))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) 1/3) (.f64 (+.f64 (.f64 2/9 (.f64 (pow.f64 (pow.f64 1 4) 1/9) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) 1/3))) (.f64 -1/27 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) 1/3))) (pow.f64 z 3)))) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 1/3))))
(fma.f64 -1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 7)) 1/18))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2))) (.f64 (pow.f64 z 3) (+.f64 (.f64 2/9 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2)))) (.f64 -1/27 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2))))))) (cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))))))
(fma.f64 -1/3 (.f64 z (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2)) 1/18))) (fma.f64 -1/9 (.f64 (.f64 z z) (.f64 (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 7)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 7)) 1/18))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2))) (.f64 (pow.f64 z 3) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2))) 5/27))) (cbrt.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))))))

localize4.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))
✓	0.2b	(-.f64 y (*.f64 y (log.f64 y)))
✓	0.3b	(*.f64 y (log.f64 y))

Compiler

Compiled 25 to 7 computations (72% saved)

series53.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
32.0ms	y	@	0	(*.f64 y (log.f64 y))
9.0ms	y	@	-inf	(*.f64 y (log.f64 y))
6.0ms	y	@	inf	(*.f64 y (log.f64 y))
3.0ms	y	@	0	(-.f64 y (*.f64 y (log.f64 y)))
0.0ms	x	@	0	(+.f64 x (-.f64 y (*.f64 y (log.f64 y))))

rewrite94.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

428×	`log-prod_binary64`
426×	`fma-def_binary64`
337×	`prod-exp_binary64`
308×	`exp-prod_binary64`
305×	`pow-prod-down_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	27
1	162	27
2	2497	25

Stop Event

1×	node limit

Counts

3 → 210

Calls

Call 1

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

Outputs

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simplify207.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2228×	`fma-neg_binary64`
535×	`unsub-neg_binary64`
497×	`distribute-rgt-in_binary64`
456×	`fma-def_binary64`
427×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	434
1	90	366
2	182	366
3	532	366
4	1026	366
5	2418	366
6	3960	366
7	4590	366
8	4839	366
9	4892	366
10	4909	366
11	4911	366
12	5325	366
13	5747	366
14	5883	366
15	6009	366
16	6093	366
17	6093	366

Stop Event

1×	node limit

Counts

254 → 221

Calls

Call 1

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

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

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
✓	0.2b	(*.f64 (+.f64 1/2 y) (log.f64 y))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`pow1_binary64`
867×	`add-log-exp_binary64`
867×	`log1p-expm1-u_binary64`
867×	`expm1-log1p-u_binary64`
853×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	21
1	161	21
2	2286	21

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

Outputs

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

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

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

675×	`unsub-neg_binary64`
612×	`sub-neg_binary64`
473×	`fma-def_binary64`
382×	`fma-neg_binary64`
374×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	274
1	113	258
2	290	258
3	772	213
4	1955	213
5	4637	213
6	6599	213
7	7539	213
8	7855	213

Stop Event

1×	node limit

Counts

80 → 72

Calls

Call 1

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

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

localize35.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (fma.f64 y y -1/4) (log.f64 y))
✓	0.1b	(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y)
✓	18.2b	(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))

Compiler

Compiled 80 to 43 computations (46.3% saved)

series13.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
2.0ms	y	@	-inf	(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
2.0ms	x	@	0	(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y)
1.0ms	y	@	inf	(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
1.0ms	y	@	-inf	(*.f64 (fma.f64 y y -1/4) (log.f64 y))

rewrite109.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

688×	`log-prod_binary64`
620×	`fma-def_binary64`
334×	`fma-neg_binary64`
256×	`expm1-udef_binary64`
256×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	48
1	278	34
2	4159	34

Stop Event

1×	node limit

Counts

3 → 134

Calls

Call 1

Inputs
(/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))
(+.f64 (-.f64 x (/.f64 (*.f64 (fma.f64 y y -1/4) (log.f64 y)) (+.f64 y -1/2))) y)
(*.f64 (fma.f64 y y -1/4) (log.f64 y))

Outputs

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

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

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

681×	`times-frac_binary64`
550×	`unsub-neg_binary64`
484×	`div-sub_binary64`
337×	`sub-neg_binary64`
252×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	701
1	199	621
2	550	601
3	1723	591
4	4851	591

Stop Event

1×	node limit

Counts

182 → 167

Calls

Call 1

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

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

eval1.8s (13.5%)

Compiler: Compiled 46509 to 33342 computations (28.3% saved)

prune141.0ms (1.1%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	767	18	785
Fresh	6	1	7
Picked	1	0	1
Done	2	2	4
Total	776	21	797

Error

Counts

797 → 21

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.6b	(+.f64 x (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2)) (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))
▶	34.5b	(+.f64 x (fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) y))
	24.4b	(+.f64 x (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y)))))
	22.8b	(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
	39.0b	(-.f64 (cbrt.f64 (pow.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) 3)) z)
	24.7b	(+.f64 x (fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) y))
▶	19.3b	(-.f64 (+.f64 (-.f64 x (.f64 (log.f64 y) (.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))) y) z)
	39.2b	(-.f64 (-.f64 y (*.f64 1/2 (log.f64 y))) z)
	18.3b	(+.f64 x (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2) 3) (cbrt.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))))))
	2.3b	(+.f64 x (.f64 (pow.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) 2) (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))) 2) 3) (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))))
✓	28.7b	(-.f64 x z)
	38.3b	(-.f64 (*.f64 (log.f64 y) -1/2) z)
	40.9b	(-.f64 y (*.f64 y (log.f64 y)))
	34.5b	(+.f64 x (-.f64 y (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)))
	46.6b	(-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (fma.f64 y y -1/4) (sqrt.f64 (+.f64 y -1/2))) (/.f64 (log.f64 y) (sqrt.f64 (+.f64 y -1/2))))) y) z)
✓	16.9b	(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z)
▶	29.2b	(+.f64 x (-.f64 y z))
	23.3b	(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
	24.3b	(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
	46.2b	x
▶	22.0b	(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)

Compiler

Compiled 701 to 472 computations (32.7% saved)

localize78.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))
	0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 2)
	0.6b	(cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))
✓	0.9b	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 4)

Compiler

Compiled 182 to 107 computations (41.2% saved)

series12.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 4)
2.0ms	y	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 4)
2.0ms	z	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 4)
2.0ms	y	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 4)
2.0ms	z	@	inf	(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 4)

rewrite66.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`prod-diff_binary64`
526×	`log-prod_binary64`
319×	`pow2_binary64`
275×	`fma-def_binary64`
222×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	259	20
2	3224	19

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)))) 4)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 4) (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8)) (cbrt.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 16)) (cbrt.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) 8) (cbrt.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 16))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (pow.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z)) 1/18) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 4/3 (log.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 4/3 (log.f64 (cbrt.f64 (-.f64 y (fma.f64 (+.f64 y 1/2) (log.f64 y) z))))) 1))))))

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-r_binary64`
456×	`associate-l_binary64`
393×	`fma-def_binary64`
358×	`*-commutative_binary64`
278×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	409	6805
1	1407	5950
2	6579	5479

Stop Event

1×	node limit

Counts

42 → 66

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4) 1/9)
(+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 4) 1/9) (.f64 (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y))))) y))
(+.f64 (.f64 (+.f64 (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 14)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)))))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 16)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))))))) (pow.f64 y 2)) (+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 4) 1/9) (.f64 (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y))))) y)))
(+.f64 (.f64 (+.f64 (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 14)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)))))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 16)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))))))) (pow.f64 y 2)) (+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 4) 1/9) (+.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y))))) y) (.f64 (pow.f64 y 3) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -2/9 (.f64 (.f64 (-.f64 1 (log.f64 y)) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 7)) 1/9))) (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 3))) (+.f64 (.f64 -1/27 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 3))) (.f64 -1/4374 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 3) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 3))))) (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9)))))) (.f64 -4/9 (.f64 (.f64 (-.f64 1 (log.f64 y)) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)) 1/9) (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2))) (.f64 1/162 (/.f64 (pow.f64 (-.f64 1 (log.f64 y)) 2) (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 2)))))) (.f64 1/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 16)) 1/9) (pow.f64 (-.f64 1 (log.f64 y)) 2))))) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 7)) 1/9))))))))
(pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 4)
(+.f64 (.f64 -4/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 4) (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z)) (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (*.f64 -1 (log.f64 (/.f64 1 y)))))) 4))
(+.f64 (.f64 -4/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 4) (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z)) (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2) (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2)) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2))) (.f64 1/162 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)) (pow.f64 y 2))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 4) (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2)) (.f64 (pow.f64 y 2) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 4))))
(+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -2/9 (/.f64 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2))) (.f64 1/162 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2) (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z))) (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))) (.f64 2 (.f64 (+.f64 (.f64 1/162 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 3) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 3))) (+.f64 (.f64 -1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 3) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 3))) (.f64 -1/4374 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 3) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 3))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)) (pow.f64 y 3))) (+.f64 (.f64 -4/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 4) (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z)) (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))))) (+.f64 (.f64 -4/9 (/.f64 (.f64 (+.f64 (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2) (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2)) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2))) (.f64 1/162 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2) (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z))) (.f64 (pow.f64 y 3) (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2) (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2)) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2))) (.f64 2 (.f64 (+.f64 (.f64 -1/18 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2))) (.f64 1/162 (/.f64 (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 2)) (pow.f64 y 2))) (+.f64 (.f64 4/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 4) (pow.f64 (+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) z) 2)) (.f64 (pow.f64 y 2) (pow.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (log.f64 (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (log.f64 (/.f64 1 y)))))) 4))))))
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(+.f64 (.f64 -4/9 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 4) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y)))) z)) (+.f64 (.f64 -4/9 (/.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 2) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (.f64 2 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 2) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))))) (pow.f64 z 3))) (+.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 4) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/81 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 2) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (.f64 2 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 2)))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 2)) (pow.f64 z 2))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 2) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y)))))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 2) (+.f64 (.f64 -1/4374 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)) (+.f64 (.f64 -1/27 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3))))))) (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 2)) (pow.f64 z 3))) (.f64 4/81 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/9 (+.f64 (.f64 -1 (log.f64 (/.f64 1 z))) (log.f64 -1)))) 4) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (pow.f64 z 2))))))))
(pow.f64 (pow.f64 z 4) 1/9)
(+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))))) (pow.f64 (pow.f64 z 4) 1/9))
(+.f64 (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/9) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))))) (+.f64 (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/9) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9))) (.f64 1/81 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (pow.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) 2)))))) (pow.f64 (pow.f64 z 4) 1/9))))
(+.f64 (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/9) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))))) (+.f64 (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/9) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9))) (.f64 1/81 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)))))) (+.f64 (pow.f64 (pow.f64 z 4) 1/9) (.f64 -1 (/.f64 (+.f64 (.f64 4/9 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9))) (.f64 1/81 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))))))) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (+.f64 (.f64 1/4374 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)) (+.f64 (.f64 1/27 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)) (.f64 -1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)))))) (.f64 2/9 (.f64 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y)))) (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/9))))))) (pow.f64 z 3)))))))

Outputs
(pow.f64 (pow.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 4) 1/9)
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 4) 1/18))
(+.f64 (pow.f64 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 4) 1/9) (.f64 (+.f64 (.f64 -2/9 (.f64 (-.f64 1 (log.f64 y)) (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9))) (.f64 -2/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) 5)) 1/9) (-.f64 1 (log.f64 y))))) y))
(+.f64 (.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 4) 1/18)) (.f64 y (.f64 -2/9 (+.f64 (.f64 (-.f64 1 (log.f64 y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 5)) 1/18))) (.f64 (-.f64 1 (log.f64 y)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 5)) 1/18)))))))
(fma.f64 y (.f64 (.f64 (-.f64 1 (log.f64 y)) (.f64 (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 5)) 1/18))) -4/9) (.f64 (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 4) 1/18) (pow.f64 (pow.f64 (fma.f64 1/2 (log.f64 y) z) 4) 1/18)))
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(fma.f64 4/81 (.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/18))) (fma.f64 -4/9 (.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18))) (fma.f64 2 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18)) (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (+.f64 (.f64 1/81 (pow.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) 2)) (.f64 2 (.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) 2) -4/81))))) (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18)))))
(+.f64 (.f64 4/81 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/9) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (+.f64 (.f64 -4/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/9) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))))) (+.f64 (.f64 2 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/9) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9))) (.f64 1/81 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)))))) (+.f64 (pow.f64 (pow.f64 z 4) 1/9) (.f64 -1 (/.f64 (+.f64 (.f64 4/9 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9))) (.f64 1/81 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))))))) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (+.f64 (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 z 2)) 1/9) (+.f64 (.f64 1/4374 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)) (+.f64 (.f64 1/27 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)) (.f64 -1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 3)))))) (.f64 2/9 (.f64 (.f64 (+.f64 (.f64 -1/18 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2)) (.f64 1/162 (pow.f64 (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y))) 2))) (-.f64 y (.f64 (+.f64 1/2 y) (log.f64 y)))) (pow.f64 (*.f64 1 (pow.f64 z 2)) 1/9))))))) (pow.f64 z 3)))))))
(fma.f64 4/81 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/18))) (fma.f64 -4/9 (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18))) (+.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18)) (fma.f64 2 (.f64 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) -4/81) (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18))) (.f64 1/81 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)))))) (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18))) (neg.f64 (/.f64 (fma.f64 4/9 (.f64 (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y)))) (fma.f64 2 (.f64 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) -4/81) (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18))) (.f64 1/81 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)))))) (.f64 (.f64 2 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18))) (fma.f64 2 (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (fma.f64 1/4374 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 3) (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 3) 5/162))) (.f64 2/9 (.f64 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) -4/81) (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)))))))) (pow.f64 z 3))))))
(fma.f64 4/81 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/18))) (fma.f64 -4/9 (.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18))) (-.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18)) (fma.f64 2 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) (.f64 -4/81 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)))) (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 2) (.f64 1/81 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)))))) (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18))) (/.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (fma.f64 2 (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 3) 68/2187)) (.f64 (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 3) -4/81) (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) 2/9)))) (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (.f64 (+.f64 (.f64 (.f64 1/81 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18))) (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 3)) (.f64 2 (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (.f64 (pow.f64 (-.f64 y (.f64 (log.f64 y) (+.f64 1/2 y))) 3) -4/81)))) 4/9))) (pow.f64 z 3)))))
(-.f64 (fma.f64 4/81 (.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) 2) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 14)) 1/18))) (fma.f64 -4/9 (.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) (.f64 (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 5)) 1/18))) (fma.f64 2 (.f64 (.f64 (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18) (pow.f64 (/.f64 1 (pow.f64 z 16)) 1/18)) (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (+.f64 (.f64 1/81 (pow.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) 2)) (.f64 2 (.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) 2) -4/81))))) (.f64 (pow.f64 (pow.f64 z 4) 1/18) (pow.f64 (pow.f64 z 4) 1/18))))) (/.f64 (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (+.f64 (.f64 4/9 (.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (+.f64 (.f64 1/81 (pow.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) 2)) (.f64 2 (.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) 2) -4/81)))))) (.f64 2 (.f64 (.f64 (pow.f64 (.f64 z z) 1/18) (pow.f64 (.f64 z z) 1/18)) (+.f64 (.f64 2 (.f64 (pow.f64 (+.f64 y (.f64 (log.f64 y) (-.f64 -1/2 y))) 3) 68/2187)) (.f64 2/9 (.f64 (pow.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))) 3) -4/81))))))) (pow.f64 z 3)))

localize5.0ms (0%)

Compiler: Compiled 14 to 5 computations (64.3% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 27 to 14 computations (48.1% saved)

series3.0ms (0%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(-.f64 x (*.f64 1/2 (log.f64 y)))
0.0ms	y	@	inf	(-.f64 x (*.f64 1/2 (log.f64 y)))
0.0ms	x	@	0	(-.f64 x (*.f64 1/2 (log.f64 y)))
0.0ms	y	@	0	(-.f64 x (*.f64 1/2 (log.f64 y)))
0.0ms	x	@	inf	(-.f64 x (*.f64 1/2 (log.f64 y)))

rewrite61.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

769×	`pow1_binary64`
716×	`add-log-exp_binary64`
716×	`log1p-expm1-u_binary64`
716×	`expm1-log1p-u_binary64`
702×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	152	8
2	1991	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify273.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1205×	`distribute-rgt-in_binary64`
608×	`fma-def_binary64`
462×	`unsub-neg_binary64`
460×	`fma-neg_binary64`
376×	`distribute-neg-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	127
1	52	127
2	113	127
3	247	127
4	549	127
5	1223	127
6	3480	127
7	4904	127
8	5613	127
9	5886	127
10	5992	127
11	6029	127
12	6033	127
13	6124	127
14	6262	127
15	6382	127
16	6426	127
17	6450	127
18	6468	127
19	6476	127
20	6476	127
21	6476	127
22	6821	127

Stop Event

1×	node limit

Counts

57 → 43

Calls

Call 1

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

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

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (+.f64 y -1/2))
✓	0.1b	(+.f64 (-.f64 x (.f64 (log.f64 y) (.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))) y)
✓	0.2b	(.f64 (log.f64 y) (.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))
✓	18.0b	(*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))

Compiler

Compiled 97 to 60 computations (38.1% saved)

series6.0ms (0%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))
1.0ms	y	@	-inf	(*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))
0.0ms	y	@	inf	(*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))
0.0ms	y	@	inf	(/.f64 1 (+.f64 y -1/2))
0.0ms	y	@	-inf	(+.f64 (-.f64 x (.f64 (log.f64 y) (.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))) y)

rewrite96.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`log-prod_binary64`
632×	`fma-def_binary64`
351×	`fma-neg_binary64`
274×	`expm1-udef_binary64`
274×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	56
1	317	35
2	4484	35

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(*.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2)))
(.f64 (log.f64 y) (.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))
(+.f64 (-.f64 x (.f64 (log.f64 y) (.f64 (fma.f64 y y -1/4) (/.f64 1 (+.f64 y -1/2))))) y)
(/.f64 1 (+.f64 y -1/2))

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

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

847×	`times-frac_binary64`
478×	`unsub-neg_binary64`
367×	`div-sub_binary64`
327×	`sub-neg_binary64`
259×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	781
1	243	723
2	623	703
3	1949	691
4	5459	691

Stop Event

1×	node limit

Counts

213 → 194

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f64 (log.f64 y))
✓	0.2b	(*.f64 (neg.f64 y) (sqrt.f64 (log.f64 y)))
✓	0.2b	(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) y)

Compiler

Compiled 42 to 9 computations (78.6% saved)

series28.0ms (0.2%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
24.0ms	y	@	inf	(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) y)
1.0ms	y	@	0	(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) y)
1.0ms	y	@	-inf	(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) y)
0.0ms	y	@	inf	(*.f64 (neg.f64 y) (sqrt.f64 (log.f64 y)))
0.0ms	y	@	-inf	(*.f64 (neg.f64 y) (sqrt.f64 (log.f64 y)))

rewrite63.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

571×	`pow1_binary64`
527×	`add-log-exp_binary64`
526×	`log1p-expm1-u_binary64`
526×	`expm1-log1p-u_binary64`
514×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	33
1	142	22
2	1784	22

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(fma.f64 (*.f64 (neg.f64 y) (sqrt.f64 (log.f64 y))) (sqrt.f64 (log.f64 y)) y)
(*.f64 (neg.f64 y) (sqrt.f64 (log.f64 y)))
(sqrt.f64 (log.f64 y))

Outputs

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

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

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

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
415×	`cube-prod_binary64`
333×	`fma-neg_binary64`
312×	`associate-l_binary64`
294×	`unsub-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	36	352
1	98	288
2	271	288
3	761	288
4	2261	288
5	4731	288
6	5487	288
7	6089	288
8	6957	288

Stop Event

1×	node limit

Counts

86 → 63

Calls

Call 1

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

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

eval892.0ms (6.8%)

Compiler: Compiled 46963 to 32754 computations (30.3% saved)

prune143.0ms (1.1%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	758	6	764
Fresh	4	10	14
Picked	1	0	1
Done	2	4	6
Total	765	20	785

Error

Counts

785 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.3b	(-.f64 (+.f64 (-.f64 x (.f64 (log.f64 y) (+.f64 (.f64 (/.f64 1 (+.f64 y -1/2)) (.f64 y y)) (.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))) y) z)
▶	40.9b	(-.f64 y (*.f64 y (log.f64 y)))
	24.4b	(+.f64 x (fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y)))))
	23.3b	(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
	22.8b	(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
	24.7b	(+.f64 x (fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) y))
	46.2b	x
▶	0.4b	(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2))) y) z)
✓	28.7b	(-.f64 x z)
	38.3b	(-.f64 (*.f64 (log.f64 y) -1/2) z)
▶	0.6b	(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3))) y) z)
	34.5b	(+.f64 x (-.f64 y (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2)))
	46.6b	(-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (fma.f64 y y -1/4) (sqrt.f64 (+.f64 y -1/2))) (/.f64 (log.f64 y) (sqrt.f64 (+.f64 y -1/2))))) y) z)
✓	16.9b	(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z)
	34.6b	(+.f64 x (fma.f64 (*.f64 (neg.f64 y) (pow.f64 (pow.f64 (log.f64 y) 3/2) 1/3)) (sqrt.f64 (log.f64 y)) y))
▶	39.2b	(-.f64 (-.f64 y (*.f64 1/2 (log.f64 y))) z)
✓	29.2b	(+.f64 x (-.f64 y z))
	19.3b	(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (/.f64 (fma.f64 y y -1/4) (+.f64 y -1/2)))) y) z)
	24.3b	(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
✓	22.0b	(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)

Compiler

Compiled 542 to 371 computations (31.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 y 1/2))
✓	0.1b	(+.f64 (-.f64 x (*.f64 (log.f64 y) (pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2))) y)
✓	0.2b	(*.f64 (log.f64 y) (pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2))
✓	0.7b	(pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2)

Compiler

Compiled 71 to 46 computations (35.2% saved)

series9.0ms (0.1%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2)
1.0ms	y	@	0	(sqrt.f64 (+.f64 y 1/2))
1.0ms	y	@	inf	(pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2)
1.0ms	y	@	-inf	(pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2)
0.0ms	y	@	inf	(sqrt.f64 (+.f64 y 1/2))

rewrite87.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`fma-def_binary64`
572×	`log-prod_binary64`
329×	`pow2_binary64`
308×	`fma-neg_binary64`
226×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	278	34
2	3611	34

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

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

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

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

897×	`times-frac_binary64`
533×	`associate-/l*_binary64`
371×	`associate-+l+_binary64`
351×	`associate-/r*_binary64`
277×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	549
1	265	505
2	835	461
3	2787	452

Stop Event

1×	node limit

Counts

207 → 196

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 1/2) 2)
(+.f64 y (pow.f64 (sqrt.f64 1/2) 2))
(+.f64 y (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/2) 3)) 2)))))) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 y (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/2) 3)) 2)))))) (pow.f64 (sqrt.f64 1/2) 2)))
(*.f64 1/2 (log.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 1/2 (/.f64 y (sqrt.f64 1/2)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2))))))

Outputs
(pow.f64 (sqrt.f64 1/2) 2)
1/2
(+.f64 y (pow.f64 (sqrt.f64 1/2) 2))
(+.f64 (pow.f64 (sqrt.f64 1/2) 2) y)
(+.f64 1/2 y)
(+.f64 y (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/2) 3)) 2)))))) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (pow.f64 (sqrt.f64 1/2) 2) y)
(+.f64 1/2 y)
(+.f64 y (+.f64 (.f64 (pow.f64 y 4) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (.f64 -1 (+.f64 (*.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 1/2) 6))) (pow.f64 (/.f64 -1/8 (pow.f64 (sqrt.f64 1/2) 3)) 2)))))) (pow.f64 (sqrt.f64 1/2) 2)))
(+.f64 (pow.f64 (sqrt.f64 1/2) 2) y)
(+.f64 1/2 y)
(*.f64 1/2 (log.f64 y))
(log.f64 (sqrt.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(*.f64 (log.f64 y) (-.f64 y -1/2))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(+.f64 x (*.f64 -1/2 (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) -1/2 x)
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(+.f64 x (fma.f64 (log.f64 y) (-.f64 -1/2 y) y))
(sqrt.f64 1/2)
(+.f64 (sqrt.f64 1/2) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2))))
(fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2))
(+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (.f64 1/2 (/.f64 y (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (.f64 y y) (pow.f64 (sqrt.f64 1/2) 3)) (.f64 1/2 (/.f64 y (sqrt.f64 1/2)))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 (.f64 y y) (sqrt.f64 1/2)))))
(fma.f64 -1/4 (/.f64 y (/.f64 (sqrt.f64 1/2) y)) (fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2)))
(+.f64 (sqrt.f64 1/2) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 1/2 (/.f64 y -4))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5))) (+.f64 (sqrt.f64 1/2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 y 2) (pow.f64 (sqrt.f64 1/2) 3))) (*.f64 1/2 (/.f64 y (sqrt.f64 1/2))))))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (+.f64 (sqrt.f64 1/2) (fma.f64 -1/8 (/.f64 (.f64 y y) (pow.f64 (sqrt.f64 1/2) 3)) (.f64 1/2 (/.f64 y (sqrt.f64 1/2))))))
(+.f64 (fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (.f64 -1/4 (/.f64 (.f64 y y) (sqrt.f64 1/2)))) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (sqrt.f64 1/2)))
(fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (fma.f64 -1/4 (/.f64 y (/.f64 (sqrt.f64 1/2) y)) (fma.f64 1/2 (/.f64 y (sqrt.f64 1/2)) (sqrt.f64 1/2))))
(+.f64 (sqrt.f64 1/2) (fma.f64 1/16 (/.f64 (pow.f64 y 3) (pow.f64 (sqrt.f64 1/2) 5)) (*.f64 (/.f64 y (sqrt.f64 1/2)) (+.f64 1/2 (/.f64 y -4)))))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.2b	(-.f64 y (*.f64 y (log.f64 y)))
	0.3b	(*.f64 y (log.f64 y))

Compiler

Compiled 16 to 6 computations (62.5% saved)

localize12.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite56.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
638×	`add-log-exp_binary64`
638×	`log1p-expm1-u_binary64`
638×	`expm1-log1p-u_binary64`
626×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	133	8
2	1776	8

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

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

simplify179.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1183×	`associate--r-_binary64`
569×	`unsub-neg_binary64`
445×	`distribute-rgt-in_binary64`
427×	`distribute-neg-in_binary64`
348×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	89
1	43	71
2	82	71
3	158	71
4	337	71
5	824	71
6	2570	71
7	3901	71
8	4887	71
9	5485	71
10	5571	71
11	5636	71
12	5662	71
13	5951	71
14	6407	71
15	6575	71
16	6631	71
17	6669	71
18	6677	71
19	6677	71

Stop Event

1×	node limit

Counts

49 → 43

Calls

Call 1

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

Outputs
(*.f64 -1/2 (log.f64 y))
(+.f64 y (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) y)
(+.f64 y (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) y)
(+.f64 y (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) y)
y
(+.f64 y (*.f64 1/2 (log.f64 (/.f64 1 y))))
(+.f64 y (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) y)
(+.f64 y (*.f64 1/2 (log.f64 (/.f64 1 y))))
(+.f64 y (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) y)
(+.f64 y (*.f64 1/2 (log.f64 (/.f64 1 y))))
(+.f64 y (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) y)
y
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(+.f64 y (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) y)
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(+.f64 y (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) y)
(+.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(+.f64 y (*.f64 -1/2 (log.f64 y)))
(fma.f64 -1/2 (log.f64 y) y)

localize312.0ms (2.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (+.f64 y -1/2))
✓	0.1b	(+.f64 (-.f64 x (.f64 (log.f64 y) (+.f64 (.f64 (/.f64 1 (+.f64 y -1/2)) (.f64 y y)) (.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))) y)
✓	0.2b	(.f64 (log.f64 y) (+.f64 (.f64 (/.f64 1 (+.f64 y -1/2)) (.f64 y y)) (.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))
✓	18.0b	(.f64 (/.f64 1 (+.f64 y -1/2)) (.f64 y y))

Compiler

Compiled 147 to 95 computations (35.4% saved)

series12.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(+.f64 (-.f64 x (.f64 (log.f64 y) (+.f64 (.f64 (/.f64 1 (+.f64 y -1/2)) (.f64 y y)) (.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))) y)
2.0ms	y	@	inf	(.f64 (log.f64 y) (+.f64 (.f64 (/.f64 1 (+.f64 y -1/2)) (.f64 y y)) (.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))
2.0ms	y	@	-inf	(.f64 (log.f64 y) (+.f64 (.f64 (/.f64 1 (+.f64 y -1/2)) (.f64 y y)) (.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))
1.0ms	y	@	0	(.f64 (log.f64 y) (+.f64 (.f64 (/.f64 1 (+.f64 y -1/2)) (.f64 y y)) (.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))
1.0ms	y	@	0	(.f64 (/.f64 1 (+.f64 y -1/2)) (.f64 y y))

rewrite127.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

591×	`fma-neg_binary64`
323×	`expm1-udef_binary64`
323×	`log1p-udef_binary64`
258×	`log-pow_binary64`
194×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	58
1	375	34
2	5731	34

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs

(*.f64 (/.f64 1 (+.f64 y -1/2)) (*.f64 y y))

(*.f64 (log.f64 y) (+.f64 (*.f64 (/.f64 1 (+.f64 y -1/2)) (*.f64 y y)) (*.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))

(+.f64 (-.f64 x (*.f64 (log.f64 y) (+.f64 (*.f64 (/.f64 1 (+.f64 y -1/2)) (*.f64 y y)) (*.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))) y)

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2)) (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y))) (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y))) 1) (*.f64 (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y))) 3) (pow.f64 (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2)) 3)) (+.f64 (*.f64 (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y))) (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y)))) (-.f64 (*.f64 (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2)) (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2))) (*.f64 (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y))) (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y))) (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y)))) (*.f64 (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2)) (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2)))) (-.f64 (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y))) (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y -1/2))) 3) (/.f64 -1/64 (pow.f64 (+.f64 y -1/2) 3))) (log.f64 y)) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 y -1/2) -2) (pow.f64 y 4)) (*.f64 (pow.f64 (+.f64 y -1/2) -2) 1/16)) (/.f64 (*.f64 (*.f64 y y) -1/4) (pow.f64 (+.f64 y -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 y 1/2) (/.f64 (fma.f64 y y 1/4) (+.f64 y -1/2))) (log.f64 y)) (/.f64 (fma.f64 y y 1/4) (+.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y -1/2))) 3) (/.f64 -1/64 (pow.f64 (+.f64 y -1/2) 3)))) (-.f64 (+.f64 (*.f64 (pow.f64 (+.f64 y -1/2) -2) (pow.f64 y 4)) (*.f64 (pow.f64 (+.f64 y -1/2) -2) 1/16)) (/.f64 (*.f64 (*.f64 y y) -1/4) (pow.f64 (+.f64 y -1/2) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (/.f64 (fma.f64 y y 1/4) (+.f64 y -1/2)))) (/.f64 (fma.f64 y y 1/4) (+.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 y (+.f64 y 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2))) (exp.f64 (*.f64 (/.f64 y (+.f64 y -1/2)) (*.f64 y (log.f64 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (pow.f64 y (+.f64 y 1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (log.f64 y) (+.f64 y 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 y (/.f64 y (+.f64 y -1/2))) (log.f64 y) (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log.f64 y) (*.f64 y (/.f64 y (+.f64 y -1/2))) (/.f64 (*.f64 -1/4 (log.f64 y)) (+.f64 y -1/2)))))))

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

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

373×	`+-commutative_binary64`
308×	`associate--l-_binary64`
302×	`fma-def_binary64`
296×	`sub-neg_binary64`
290×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	741
1	237	725
2	601	682
3	1887	670
4	4585	670

Stop Event

1×	node limit

Counts

149 → 139

Calls

Call 1

Inputs
(*.f64 -2 (pow.f64 y 2))
(+.f64 (.f64 -2 (pow.f64 y 2)) (.f64 -4 (pow.f64 y 3)))
(+.f64 (.f64 -8 (pow.f64 y 4)) (+.f64 (.f64 -2 (pow.f64 y 2)) (*.f64 -4 (pow.f64 y 3))))
(+.f64 (.f64 -8 (pow.f64 y 4)) (+.f64 (.f64 -16 (pow.f64 y 5)) (+.f64 (.f64 -2 (pow.f64 y 2)) (.f64 -4 (pow.f64 y 3)))))
y
(+.f64 1/2 y)
(+.f64 1/2 (+.f64 y (*.f64 1/4 (/.f64 1 y))))
(+.f64 1/2 (+.f64 y (+.f64 (.f64 1/4 (/.f64 1 y)) (.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
y
(+.f64 1/2 y)
(+.f64 1/2 (+.f64 y (*.f64 1/4 (/.f64 1 y))))
(+.f64 1/2 (+.f64 y (+.f64 (.f64 1/4 (/.f64 1 y)) (.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(*.f64 1/2 (log.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(-.f64 y (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
x
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
x
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))

Outputs
(*.f64 -2 (pow.f64 y 2))
(.f64 -2 (.f64 y y))
(+.f64 (.f64 -2 (pow.f64 y 2)) (.f64 -4 (pow.f64 y 3)))
(fma.f64 -2 (.f64 y y) (.f64 -4 (pow.f64 y 3)))
(.f64 (.f64 y y) (+.f64 -2 (*.f64 y -4)))
(+.f64 (.f64 -8 (pow.f64 y 4)) (+.f64 (.f64 -2 (pow.f64 y 2)) (*.f64 -4 (pow.f64 y 3))))
(fma.f64 -8 (pow.f64 y 4) (fma.f64 -2 (.f64 y y) (.f64 -4 (pow.f64 y 3))))
(fma.f64 -8 (pow.f64 y 4) (.f64 (.f64 y y) (+.f64 -2 (*.f64 y -4))))
(.f64 (.f64 y y) (+.f64 (.f64 y (+.f64 -4 (.f64 y -8))) -2))
(.f64 (.f64 y y) (+.f64 -2 (.f64 y (+.f64 -4 (.f64 y -8)))))
(+.f64 (.f64 -8 (pow.f64 y 4)) (+.f64 (.f64 -16 (pow.f64 y 5)) (+.f64 (.f64 -2 (pow.f64 y 2)) (.f64 -4 (pow.f64 y 3)))))
(fma.f64 -8 (pow.f64 y 4) (fma.f64 -16 (pow.f64 y 5) (fma.f64 -2 (.f64 y y) (.f64 -4 (pow.f64 y 3)))))
(fma.f64 -8 (pow.f64 y 4) (fma.f64 -16 (pow.f64 y 5) (.f64 (.f64 y y) (+.f64 -2 (*.f64 y -4)))))
(fma.f64 -16 (pow.f64 y 5) (.f64 (.f64 y y) (+.f64 (.f64 y (+.f64 -4 (.f64 y -8))) -2)))
(fma.f64 -16 (pow.f64 y 5) (.f64 (.f64 y y) (+.f64 -2 (.f64 y (+.f64 -4 (.f64 y -8))))))
y
(+.f64 1/2 y)
(+.f64 y 1/2)
(+.f64 1/2 (+.f64 y (*.f64 1/4 (/.f64 1 y))))
(+.f64 (+.f64 y 1/2) (/.f64 1/4 y))
(+.f64 y (+.f64 1/2 (/.f64 1/4 y)))
(+.f64 1/2 (+.f64 y (+.f64 (.f64 1/4 (/.f64 1 y)) (.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 y 1/2) (+.f64 (/.f64 1/4 y) (/.f64 1/8 (*.f64 y y))))
(+.f64 1/2 (+.f64 (/.f64 1/4 y) (+.f64 y (/.f64 1/8 (*.f64 y y)))))
(+.f64 (/.f64 1/4 y) (+.f64 y (+.f64 1/2 (/.f64 1/8 (*.f64 y y)))))
(+.f64 y (+.f64 (/.f64 1/4 y) (+.f64 1/2 (/.f64 1/8 (*.f64 y y)))))
y
(+.f64 1/2 y)
(+.f64 y 1/2)
(+.f64 1/2 (+.f64 y (*.f64 1/4 (/.f64 1 y))))
(+.f64 (+.f64 y 1/2) (/.f64 1/4 y))
(+.f64 y (+.f64 1/2 (/.f64 1/4 y)))
(+.f64 1/2 (+.f64 y (+.f64 (.f64 1/4 (/.f64 1 y)) (.f64 1/8 (/.f64 1 (pow.f64 y 2))))))
(+.f64 (+.f64 y 1/2) (+.f64 (/.f64 1/4 y) (/.f64 1/8 (*.f64 y y))))
(+.f64 1/2 (+.f64 (/.f64 1/4 y) (+.f64 y (/.f64 1/8 (*.f64 y y)))))
(+.f64 (/.f64 1/4 y) (+.f64 y (+.f64 1/2 (/.f64 1/8 (*.f64 y y)))))
(+.f64 y (+.f64 (/.f64 1/4 y) (+.f64 1/2 (/.f64 1/8 (*.f64 y y)))))
(*.f64 1/2 (log.f64 y))
(log.f64 (sqrt.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 y 1/2))
(*.f64 (+.f64 y 1/2) (log.f64 y))
(-.f64 y (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 y (.f64 (log.f64 y) (-.f64 (/.f64 (.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2)))))
(-.f64 y (*.f64 (log.f64 y) (+.f64 (/.f64 y (/.f64 (+.f64 y -1/2) y)) (/.f64 -1/4 (+.f64 y -1/2)))))
(fma.f64 (log.f64 y) (-.f64 (/.f64 1/4 (+.f64 y -1/2)) (/.f64 y (/.f64 (+.f64 y -1/2) y))) y)
(-.f64 y (*.f64 (log.f64 y) (fma.f64 (/.f64 y (+.f64 y -1/2)) y (/.f64 -1/4 (+.f64 y -1/2)))))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (log.f64 y) (-.f64 (/.f64 (.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 (/.f64 y (/.f64 (+.f64 y -1/2) y)) (/.f64 -1/4 (+.f64 y -1/2)))))
(fma.f64 (log.f64 y) (-.f64 (/.f64 1/4 (+.f64 y -1/2)) (/.f64 y (/.f64 (+.f64 y -1/2) y))) (+.f64 y x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (fma.f64 (/.f64 y (+.f64 y -1/2)) y (/.f64 -1/4 (+.f64 y -1/2))))))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (log.f64 y) (-.f64 (/.f64 (.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 (/.f64 y (/.f64 (+.f64 y -1/2) y)) (/.f64 -1/4 (+.f64 y -1/2)))))
(fma.f64 (log.f64 y) (-.f64 (/.f64 1/4 (+.f64 y -1/2)) (/.f64 y (/.f64 (+.f64 y -1/2) y))) (+.f64 y x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (fma.f64 (/.f64 y (+.f64 y -1/2)) y (/.f64 -1/4 (+.f64 y -1/2))))))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (log.f64 y) (-.f64 (/.f64 (.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 (/.f64 y (/.f64 (+.f64 y -1/2) y)) (/.f64 -1/4 (+.f64 y -1/2)))))
(fma.f64 (log.f64 y) (-.f64 (/.f64 1/4 (+.f64 y -1/2)) (/.f64 y (/.f64 (+.f64 y -1/2) y))) (+.f64 y x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (fma.f64 (/.f64 y (+.f64 y -1/2)) y (/.f64 -1/4 (+.f64 y -1/2))))))
x
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (log.f64 y) (-.f64 (/.f64 (.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 (/.f64 y (/.f64 (+.f64 y -1/2) y)) (/.f64 -1/4 (+.f64 y -1/2)))))
(fma.f64 (log.f64 y) (-.f64 (/.f64 1/4 (+.f64 y -1/2)) (/.f64 y (/.f64 (+.f64 y -1/2) y))) (+.f64 y x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (fma.f64 (/.f64 y (+.f64 y -1/2)) y (/.f64 -1/4 (+.f64 y -1/2))))))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (log.f64 y) (-.f64 (/.f64 (.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 (/.f64 y (/.f64 (+.f64 y -1/2) y)) (/.f64 -1/4 (+.f64 y -1/2)))))
(fma.f64 (log.f64 y) (-.f64 (/.f64 1/4 (+.f64 y -1/2)) (/.f64 y (/.f64 (+.f64 y -1/2) y))) (+.f64 y x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (fma.f64 (/.f64 y (+.f64 y -1/2)) y (/.f64 -1/4 (+.f64 y -1/2))))))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (log.f64 y) (-.f64 (/.f64 (.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 (/.f64 y (/.f64 (+.f64 y -1/2) y)) (/.f64 -1/4 (+.f64 y -1/2)))))
(fma.f64 (log.f64 y) (-.f64 (/.f64 1/4 (+.f64 y -1/2)) (/.f64 y (/.f64 (+.f64 y -1/2) y))) (+.f64 y x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (fma.f64 (/.f64 y (+.f64 y -1/2)) y (/.f64 -1/4 (+.f64 y -1/2))))))
x
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (log.f64 y) (-.f64 (/.f64 (.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 (/.f64 y (/.f64 (+.f64 y -1/2) y)) (/.f64 -1/4 (+.f64 y -1/2)))))
(fma.f64 (log.f64 y) (-.f64 (/.f64 1/4 (+.f64 y -1/2)) (/.f64 y (/.f64 (+.f64 y -1/2) y))) (+.f64 y x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (fma.f64 (/.f64 y (+.f64 y -1/2)) y (/.f64 -1/4 (+.f64 y -1/2))))))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (log.f64 y) (-.f64 (/.f64 (.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 (/.f64 y (/.f64 (+.f64 y -1/2) y)) (/.f64 -1/4 (+.f64 y -1/2)))))
(fma.f64 (log.f64 y) (-.f64 (/.f64 1/4 (+.f64 y -1/2)) (/.f64 y (/.f64 (+.f64 y -1/2) y))) (+.f64 y x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (fma.f64 (/.f64 y (+.f64 y -1/2)) y (/.f64 -1/4 (+.f64 y -1/2))))))
(-.f64 (+.f64 y x) (.f64 (-.f64 (/.f64 (pow.f64 y 2) (-.f64 y 1/2)) (.f64 1/4 (/.f64 1 (-.f64 y 1/2)))) (log.f64 y)))
(-.f64 (+.f64 y x) (.f64 (log.f64 y) (-.f64 (/.f64 (.f64 y y) (+.f64 y -1/2)) (/.f64 1/4 (+.f64 y -1/2)))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 (/.f64 y (/.f64 (+.f64 y -1/2) y)) (/.f64 -1/4 (+.f64 y -1/2)))))
(fma.f64 (log.f64 y) (-.f64 (/.f64 1/4 (+.f64 y -1/2)) (/.f64 y (/.f64 (+.f64 y -1/2) y))) (+.f64 y x))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (fma.f64 (/.f64 y (+.f64 y -1/2)) y (/.f64 -1/4 (+.f64 y -1/2))))))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(+.f64 x (*.f64 -1/2 (log.f64 y)))
(+.f64 x (*.f64 (log.f64 y) -1/2))
(fma.f64 (log.f64 y) -1/2 x)
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (fma.f64 (-.f64 1 (log.f64 y)) y x) (*.f64 -1/2 (log.f64 y)))
(+.f64 (fma.f64 y (-.f64 1 (log.f64 y)) x) (*.f64 (log.f64 y) -1/2))
(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (log.f64 y) -1/2 x))
(+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y))))

localize75.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 (-.f64 x (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3))) y)
✓	0.2b	(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3))
✓	0.3b	(cbrt.f64 (+.f64 y 1/2))
✓	0.9b	(pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3)

Compiler

Compiled 71 to 46 computations (35.2% saved)

series11.0ms (0.1%)

Counts

4 → 44

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	y	@	0	(pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3)
1.0ms	y	@	inf	(pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3)
1.0ms	y	@	-inf	(pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3)
1.0ms	y	@	0	(cbrt.f64 (+.f64 y 1/2))
0.0ms	y	@	-inf	(*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3))

rewrite92.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

586×	`log-prod_binary64`
584×	`fma-def_binary64`
333×	`pow2_binary64`
311×	`fma-neg_binary64`
228×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	281	34
2	3691	34

Stop Event

1×	node limit

Counts

4 → 162

Calls

Call 1

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

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

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
485×	`associate-r_binary64`
484×	`associate-l_binary64`
392×	`distribute-rgt-out_binary64`
288×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	124	826
1	412	749
2	1328	676
3	6033	634

Stop Event

1×	node limit

Counts

206 → 198

Calls

Call 1

Inputs
1/2
(+.f64 1/2 (.f64 y (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))
(+.f64 1/2 (+.f64 (.f64 y (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -4/27 (pow.f64 1 1/3)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/3 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))))) (+.f64 1/2 (+.f64 (.f64 y (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))))))
(cbrt.f64 1/2)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (cbrt.f64 1/2))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (+.f64 (cbrt.f64 1/2) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (+.f64 (cbrt.f64 1/2) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (pow.f64 y 3)) (pow.f64 (cbrt.f64 1/2) 2))) (.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2))))))
(*.f64 1/2 (log.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))

Outputs
1/2
(+.f64 1/2 (.f64 y (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 1/3 (pow.f64 (*.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))
(+.f64 1/2 (.f64 y (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) 1)))
(fma.f64 y (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) 1/2)
(fma.f64 y (cbrt.f64 (*.f64 1/2 (cbrt.f64 1/2))) 1/2)
(+.f64 1/2 (+.f64 (.f64 y (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))))))))
(+.f64 1/2 (fma.f64 y (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) 1) (.f64 (.f64 y y) (fma.f64 2/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9)))))))
(+.f64 1/2 (fma.f64 (.f64 y y) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (.f64 -1/9 (cbrt.f64 1/2))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/9)) (*.f64 y (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)))))
(fma.f64 y (cbrt.f64 (.f64 1/2 (cbrt.f64 1/2))) (fma.f64 y (.f64 y (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/9 (.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (.f64 (cbrt.f64 1/2) -1/9)))) 1/2))
(+.f64 (.f64 (pow.f64 y 3) (+.f64 (.f64 (cbrt.f64 1/2) (+.f64 (.f64 -4/27 (pow.f64 1 1/3)) (.f64 -2/3 (/.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))))) (+.f64 (.f64 -2/27 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (+.f64 (.f64 -1/3 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))))) (+.f64 1/2 (+.f64 (.f64 y (+.f64 (.f64 2/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 1/3 (pow.f64 (.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)))) (.f64 (pow.f64 y 2) (+.f64 (.f64 2/9 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)) (+.f64 (.f64 -1/9 (pow.f64 (/.f64 1 (cbrt.f64 1/2)) 1/3)) (.f64 (cbrt.f64 1/2) (+.f64 (.f64 1/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3)) (.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4)) 1/3))))))))))
(fma.f64 (pow.f64 y 3) (fma.f64 (cbrt.f64 1/2) (+.f64 -4/27 (.f64 -2/3 (/.f64 (fma.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 1/27 (pow.f64 (cbrt.f64 1/2) 2))) (cbrt.f64 1/2)))) (fma.f64 -2/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (fma.f64 -1/3 (fma.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 1/27 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9))))) (+.f64 1/2 (fma.f64 y (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)) 1) (.f64 (.f64 y y) (fma.f64 2/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (fma.f64 -1/9 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) (.f64 (cbrt.f64 1/2) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) -1/9))))))))
(+.f64 (fma.f64 (.f64 y y) (+.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (.f64 -1/9 (cbrt.f64 1/2))) (.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/9)) (.f64 y (cbrt.f64 (pow.f64 (cbrt.f64 1/2) 4)))) (fma.f64 (pow.f64 y 3) (+.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 4))) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))))) (.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/27) -1/3)) (fma.f64 (cbrt.f64 1/2) (fma.f64 -2/3 (/.f64 (.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/27) (cbrt.f64 1/2)) -4/27) (/.f64 -2/27 (pow.f64 (cbrt.f64 1/2) 2)))) 1/2))
(fma.f64 (pow.f64 y 3) (fma.f64 (cbrt.f64 1/2) (fma.f64 -2/3 (/.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 1/2)) -4/27) (fma.f64 (/.f64 -5/27 (pow.f64 (cbrt.f64 1/2) 2)) -1/3 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/27) (/.f64 -2/27 (pow.f64 (cbrt.f64 1/2) 2))))) (fma.f64 y (cbrt.f64 (.f64 1/2 (cbrt.f64 1/2))) (fma.f64 y (.f64 y (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/9 (.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) -1/9)))) 1/2)))
(fma.f64 (pow.f64 y 3) (fma.f64 (cbrt.f64 1/2) 8/81 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2))) (.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) -1/27) (/.f64 -1/81 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 y (cbrt.f64 (.f64 1/2 (cbrt.f64 1/2))) (fma.f64 y (.f64 y (fma.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 1/2))) 1/9 (.f64 (cbrt.f64 (/.f64 2 (cbrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) -1/9)))) 1/2)))
(cbrt.f64 1/2)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (cbrt.f64 1/2))
(fma.f64 1/3 (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))
(fma.f64 y (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (+.f64 (cbrt.f64 1/2) (.f64 -1/9 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2)))))
(+.f64 (fma.f64 1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)) (.f64 -1/9 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))))
(fma.f64 1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 -1/9 (.f64 y (*.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (cbrt.f64 1/2)))
(fma.f64 (.f64 y y) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (fma.f64 y (*.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) 1/3) y)) (+.f64 (cbrt.f64 1/2) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 -2/9 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (.f64 1/27 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (pow.f64 y 3)) (pow.f64 (cbrt.f64 1/2) 2))) (.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)) 1/3) (pow.f64 y 2))))))
(+.f64 (fma.f64 1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)) (fma.f64 -1/3 (/.f64 (fma.f64 -2/9 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 1/27 (pow.f64 (cbrt.f64 1/2) 2))) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 y 3))) (.f64 -1/9 (.f64 (.f64 y y) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))))))
(+.f64 (fma.f64 1/3 (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (cbrt.f64 1/2)) (fma.f64 -1/9 (.f64 y (.f64 y (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))))) (/.f64 (.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)) -5/27) -1/3) (/.f64 (pow.f64 (cbrt.f64 1/2) 2) (pow.f64 y 3)))))
(fma.f64 y (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 (.f64 y y) (.f64 -1/9 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7)))) (fma.f64 -1/3 (.f64 (/.f64 (pow.f64 y 3) (pow.f64 (cbrt.f64 1/2) 2)) (/.f64 -5/27 (pow.f64 (cbrt.f64 1/2) 2))) (cbrt.f64 1/2))))
(+.f64 (cbrt.f64 1/2) (fma.f64 y (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 2)))) (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 1/2) 7))) (.f64 y (.f64 y -1/9)) (.f64 (/.f64 (pow.f64 y 3) (cbrt.f64 1/2)) 10/81))))
(*.f64 1/2 (log.f64 y))
(log.f64 (sqrt.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(neg.f64 (*.f64 y (neg.f64 (log.f64 y))))
(*.f64 y (log.f64 y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) (.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) y)
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
x
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(+.f64 x (*.f64 -1/2 (log.f64 y)))
(fma.f64 (log.f64 y) -1/2 x)
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(*.f64 y (-.f64 1 (neg.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(fma.f64 (log.f64 y) (neg.f64 y) y)
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 y x) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 1/2 y))))
(fma.f64 (log.f64 y) (-.f64 -1/2 y) (+.f64 y x))

eval543.0ms (4.1%)

Compiler: Compiled 16339 to 9688 computations (40.7% saved)

prune222.0ms (1.7%)

Pruning

22 alts after pruning (15 fresh and 7 done)

	Pruned	Kept	Total
New	789	10	799
Fresh	6	5	11
Picked	0	1	1
Done	2	6	8
Total	797	22	819

Error

Counts

819 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	27.5b	(-.f64 (+.f64 (-.f64 x (.f64 (log.f64 y) (+.f64 (pow.f64 (/.f64 y (sqrt.f64 (+.f64 y -1/2))) 2) (.f64 (/.f64 1 (+.f64 y -1/2)) -1/4)))) y) z)
✓	40.9b	(-.f64 y (*.f64 y (log.f64 y)))
	23.3b	(-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)
	41.9b	(-.f64 y (pow.f64 (sqrt.f64 (*.f64 y (log.f64 y))) 2))
	0.6b	(-.f64 (+.f64 (-.f64 x (.f64 (log.f64 y) (.f64 (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 2) (cbrt.f64 (+.f64 y 1/2))))) y) z)
	19.6b	(-.f64 (+.f64 (-.f64 x (.f64 (log.f64 y) (+.f64 (.f64 (/.f64 1 (+.f64 y -1/2)) (.f64 y y)) (.f64 -2 -1/4)))) y) z)
	22.8b	(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) -1/4) (+.f64 y -1/2))) y) z)
	19.3b	(-.f64 (+.f64 (-.f64 x (.f64 (log.f64 y) (/.f64 (-.f64 1/4 (.f64 y y)) (-.f64 1/2 y)))) y) z)
	41.2b	(fma.f64 (*.f64 (neg.f64 y) (pow.f64 (cbrt.f64 (log.f64 y)) 2)) (cbrt.f64 (log.f64 y)) y)
	40.9b	(fma.f64 y (-.f64 1 (log.f64 y)) (fma.f64 (neg.f64 y) (log.f64 y) (*.f64 y (log.f64 y))))
	45.3b	(-.f64 y z)
	46.2b	x
✓	0.4b	(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (pow.f64 (sqrt.f64 (+.f64 y 1/2)) 2))) y) z)
✓	28.7b	(-.f64 x z)
	38.3b	(-.f64 (*.f64 (log.f64 y) -1/2) z)
✓	0.6b	(-.f64 (+.f64 (-.f64 x (*.f64 (log.f64 y) (pow.f64 (cbrt.f64 (+.f64 y 1/2)) 3))) y) z)
✓	22.0b	(-.f64 (-.f64 x (*.f64 1/2 (log.f64 y))) z)
	40.9b	(*.f64 (-.f64 1 (log.f64 y)) y)
	46.6b	(-.f64 (+.f64 (-.f64 x (*.f64 (/.f64 (fma.f64 y y -1/4) (sqrt.f64 (+.f64 y -1/2))) (/.f64 (log.f64 y) (sqrt.f64 (+.f64 y -1/2))))) y) z)
✓	16.9b	(-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z)
✓	39.2b	(-.f64 (-.f64 y (*.f64 1/2 (log.f64 y))) z)
	24.3b	(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)

Compiler

Compiled 322 to 226 computations (29.8% saved)

regimes229.0ms (1.7%)

Counts

48 → 1

Calls

Call 1

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

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

Calls

5 calls:

63.0ms	x
61.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
29.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
28.0ms	z
24.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)`
0.1b	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)`

Compiler

Compiled 737 to 391 computations (46.9% saved)

regimes347.0ms (2.6%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

3 calls:

158.0ms	x
112.0ms	y
68.0ms	z

Results

Error	Segments	Branch
4.1b	3	`x`
4.1b	3	`y`
9.7b	4	`z`

Compiler

Compiled 131 to 56 computations (57.3% saved)

bsearch156.0ms (1.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	1.551563978904612e+117	1.245877456543719e+118
96.0ms	4.603944872430898e+46	5.052589012328718e+48

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes399.0ms (3%)

Counts

16 → 3

Calls

Call 1

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

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

Calls

3 calls:

258.0ms	z
99.0ms	x
35.0ms	y

Results

Error	Segments	Branch
4.1b	3	`x`
4.1b	3	`y`
9.7b	4	`z`

Compiler

Compiled 119 to 47 computations (60.5% saved)

bsearch230.0ms (1.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
149.0ms	1.551563978904612e+117	1.245877456543719e+118
80.0ms	4.603944872430898e+46	5.052589012328718e+48

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes363.0ms (2.8%)

Counts

15 → 3

Calls

Call 1

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

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

Calls

3 calls:

155.0ms	z
94.0ms	y
51.0ms	x

Results

Error	Segments	Branch
10.6b	3	`x`
4.1b	3	`y`
11.5b	3	`z`

Compiler

Compiled 109 to 42 computations (61.5% saved)

bsearch134.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
86.0ms	1.551563978904612e+117	1.245877456543719e+118
47.0ms	4.603944872430898e+46	5.052589012328718e+48

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes243.0ms (1.9%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

3 calls:

93.0ms	y
88.0ms	x
54.0ms	z

Results

Error	Segments	Branch
10.6b	3	`x`
10.5b	3	`y`
11.5b	3	`z`

Compiler

Compiled 85 to 33 computations (61.2% saved)

bsearch103.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
51.0ms	1.551563978904612e+117	1.245877456543719e+118
48.0ms	4.603944872430898e+46	5.052589012328718e+48

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes172.0ms (1.3%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

122.0ms	z
30.0ms	x
17.0ms	y

Results

Error	Segments	Branch
11.2b	3	`x`
12.3b	2	`y`
19.1b	6	`z`

Compiler

Compiled 77 to 29 computations (62.3% saved)

bsearch301.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
263.0ms	6.418773683347528e+124	1.428820364036524e+125
38.0ms	-3.384049799603134e+158	-2.652235196692009e+158

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes125.0ms (1%)

Counts

7 → 2

Calls

Call 1

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

Outputs
(-.f64 x z)
(*.f64 (-.f64 1 (log.f64 y)) y)

Calls

3 calls:

59.0ms	x
43.0ms	z
21.0ms	y

Results

Error	Segments	Branch
18.0b	8	`x`
16.8b	2	`y`
20.7b	5	`z`

Compiler

Compiled 45 to 24 computations (46.7% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	1.1066857891356377e+86	4.8658105502249535e+86

Compiler

Compiled 21 to 15 computations (28.6% saved)

regimes15.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

Inputs
x
(-.f64 y z)
(-.f64 x z)
(+.f64 x (-.f64 y z))

Outputs
(-.f64 x z)

Calls

3 calls:

5.0ms	z
4.0ms	x
4.0ms	y

Results

Error	Segments	Branch
28.7b	1	`x`
28.7b	1	`y`
28.7b	1	`z`

Compiler

Compiled 27 to 15 computations (44.4% saved)

regimes52.0ms (0.4%)

Accuracy

Total -29.8b remaining (-90.4%)

Threshold costs -29.8b (-90.4%)

Counts

2 → 3

Calls

Call 1

Inputs
x
(-.f64 y z)

Outputs
x
(-.f64 y z)
x

Calls

3 calls:

19.0ms	y
18.0ms	z
14.0ms	x

Results

Error	Segments	Branch
32.9b	3	`x`
40.1b	5	`y`
33.2b	5	`z`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch51.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	5.291051152018933e+59	1.4984517381208929e+72
26.0ms	-2.6084773256311196e+182	-1.0430631811433704e+178

Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

26×	`+-commutative_binary64`
22×	`sub-neg_binary64`
14×	`*-commutative_binary64`
13×	`cancel-sign-sub-inv_binary64`
9×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	62	287
1	114	285
2	163	285
3	187	285
4	197	285

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (-.f64 x (.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (-.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (-.f64 x (.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (-.f64 x (.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (+.f64 x (-.f64 y z)) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (-.f64 (-.f64 y (.f64 y (log.f64 y))) z)))
(if (<=.f64 x -338404979960313418753326696251416426137923673512225746823833134224328908765396399010297616937773421745429471778137324254948710932159222113198279205595683749888) (-.f64 x z) (if (<=.f64 x 64187736833475278558618369864243137371805340807546853125657760848626053605079465949324222283047691203063711016214032724000768) (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) (-.f64 x z)))
(if (<=.f64 y 110668578913563771624361211438122884251641655287069761736468788803469612071079148257280) (-.f64 x z) (*.f64 (-.f64 1 (log.f64 y)) y))
(-.f64 x z)
(if (<=.f64 x -260847732563111957773042027328221410608333189861330539399274058168172358360062903875951914079994396029424047989990035881258311754595703451628613351857528690720995188214919839937986560) x (if (<=.f64 x 529105115201893296494299528039782674006149533638201937231872) (-.f64 y z) x))
x

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 y (-.f64 x (*.f64 (log.f64 y) (+.f64 y 1/2)))) z)
(-.f64 (+.f64 y (+.f64 x (*.f64 (log.f64 y) (-.f64 -1/2 y)))) z)
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (-.f64 x (.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (-.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (+.f64 x (.f64 -1/2 (log.f64 y))) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (-.f64 (*.f64 y (-.f64 1 (neg.f64 (log.f64 (/.f64 1 y))))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (+.f64 x (.f64 (log.f64 y) -1/2)) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (-.f64 (*.f64 y (+.f64 1 (log.f64 (/.f64 1 y)))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (-.f64 x (.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (-.f64 (-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (+.f64 x (.f64 -1/2 (log.f64 y))) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (+.f64 x (.f64 (log.f64 y) -1/2)) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (-.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (-.f64 x (.f64 1/2 (log.f64 y))) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (+.f64 x (.f64 -1/2 (log.f64 y))) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (-.f64 (+.f64 x (.f64 (log.f64 y) -1/2)) z) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (+.f64 x (-.f64 y z)) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (-.f64 (-.f64 y (.f64 y (log.f64 y))) z)))
(if (<=.f64 y 46039448724308976013052351306449213434925940736) (+.f64 x (-.f64 y z)) (if (<=.f64 y 1551563978904612067980415951940326287686355496645709330553811654540864468543005065908041091303761188226286545365106688) (+.f64 x (.f64 y (-.f64 1 (log.f64 y)))) (-.f64 (-.f64 y (.f64 y (log.f64 y))) z)))
(if (<=.f64 x -338404979960313418753326696251416426137923673512225746823833134224328908765396399010297616937773421745429471778137324254948710932159222113198279205595683749888) (-.f64 x z) (if (<=.f64 x 64187736833475278558618369864243137371805340807546853125657760848626053605079465949324222283047691203063711016214032724000768) (-.f64 (-.f64 y (*.f64 y (log.f64 y))) z) (-.f64 x z)))
(if (<=.f64 y 110668578913563771624361211438122884251641655287069761736468788803469612071079148257280) (-.f64 x z) (*.f64 (-.f64 1 (log.f64 y)) y))
(if (<=.f64 y 110668578913563771624361211438122884251641655287069761736468788803469612071079148257280) (-.f64 x z) (*.f64 y (-.f64 1 (log.f64 y))))
(-.f64 x z)
(if (<=.f64 x -260847732563111957773042027328221410608333189861330539399274058168172358360062903875951914079994396029424047989990035881258311754595703451628613351857528690720995188214919839937986560) x (if (<=.f64 x 529105115201893296494299528039782674006149533638201937231872) (-.f64 y z) x))
x

Compiler

Compiled 223 to 140 computations (37.2% saved)

soundness0.0ms (0%)

end160.0ms (1.2%)

Compiler: Compiled 196 to 98 computations (50% saved)