Details

analyze802.0ms (9.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	81.1%	18.9%	6
0%	81.1%	18.9%	7
9.4%	68.6%	22%	8
14%	53%	32.9%	9
16.4%	50.7%	32.9%	10
24.6%	40.2%	35.3%	11
28.7%	30.2%	41.1%	12
30.7%	28.2%	41.1%	13
35.8%	21.7%	42.5%	14

Compiler

Compiled 41 to 24 computations (41.5% saved)

sample2.8s (31.9%)

Results

2.5s	7772×	body	256	valid
211.0ms	1289×	body	128	invalid
89.0ms	484×	body	128	valid

preprocess36.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

371×	`fma-def_binary64`
300×	`associate-/l*_binary64`
260×	`distribute-rgt-in_binary64`
256×	`times-frac_binary64`
255×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	208
1	165	200
2	545	200
3	1762	192
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 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 h) (sqrt.f64 (-.f64 (.f64 h h) (.f64 g g)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (.f64 h h) (.f64 g g)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 g)) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 g)) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 h)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 a a)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 h)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 a a)))))))

Outputs
(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 h) (sqrt.f64 (-.f64 (.f64 h h) (.f64 g g)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (.f64 h h) (.f64 g g)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (+.f64 (neg.f64 h) (sqrt.f64 (-.f64 (.f64 h h) (.f64 g g)))))) (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (.f64 h h) (.f64 g g)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 h h) (.f64 g g))) h))) (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 h) (sqrt.f64 (-.f64 (.f64 h h) (.f64 g g)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 h h) (.f64 g g))) h))) (cbrt.f64 (.f64 (+.f64 h (sqrt.f64 (-.f64 (.f64 h h) (.f64 g g)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 g)) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 g)) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 g) (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1/2 g) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 g) (-.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h))) a))) (cbrt.f64 (.f64 (/.f64 1/2 g) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 g) (-.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h))) a))) (cbrt.f64 (neg.f64 (.f64 (+.f64 a (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h)))) (/.f64 1/2 g)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 g) (-.f64 (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h))) a))) (cbrt.f64 (.f64 (+.f64 a (sqrt.f64 (-.f64 (.f64 a a) (.f64 h h)))) (/.f64 -1/2 g))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 h)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 a a)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 h)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 a a)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 h) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 a a)))))) (cbrt.f64 (.f64 (/.f64 1/2 h) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 a a)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 h) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 a a))) g))) (cbrt.f64 (.f64 (/.f64 1/2 h) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 a a)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 h) (-.f64 (sqrt.f64 (fma.f64 a (neg.f64 a) (.f64 g g))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (fma.f64 a (neg.f64 a) (.f64 g g)))) (/.f64 -1/2 h))))

Compiler

Compiled 43 to 26 computations (39.5% saved)

simplify30.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-neg_binary64`
355×	`fma-def_binary64`
203×	`distribute-rgt-in_binary64`
194×	`associate-/l*_binary64`
192×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	54	50
2	154	50
3	478	48
4	1279	48
5	2581	48
6	3823	48

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(+.f64 (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))) (cbrt.f64 (*.f64 (/.f64 1 (*.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (*.f64 g g) (*.f64 h h)))))))

Outputs
(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (+.f64 (neg.f64 g) (sqrt.f64 (fma.f64 g g (neg.f64 (.f64 h h))))))) (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (fma.f64 g g (neg.f64 (.f64 h h))))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))

eval1.0ms (0%)

Compiler: Compiled 71 to 34 computations (52.1% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

32.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))

Compiler

Compiled 34 to 18 computations (47.1% saved)

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	1.6b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	0.1b	(.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))
	0.1b	(.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g))
	0.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
✓	3.8b	(-.f64 (.f64 g g) (.f64 h h))
✓	4.6b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
✓	8.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
✓	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series37.0ms (0.4%)

Counts

4 → 60

Calls

30 calls:

Time	Variable		Point	Expression
5.0ms	h	@	0	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
3.0ms	g	@	0	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
3.0ms	h	@	inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
3.0ms	h	@	0	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
2.0ms	g	@	0	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))

rewrite49.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

205×	`add-sqr-sqrt_binary64`
198×	`*-un-lft-identity_binary64`
198×	`pow1_binary64`
190×	`add-cube-cbrt_binary64`
190×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	408	68

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
(-.f64 (.f64 g g) (.f64 h h))

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

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-def_binary64`
622×	`associate-/l*_binary64`
210×	`associate-r_binary64`
162×	`distribute-lft-in_binary64`
162×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2389
1	633	2172
2	2355	2125

Stop Event

1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 -1 g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 -1 g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (.f64 -1 (.f64 (sqrt.f64 -1) h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (.f64 1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 g 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))) (.f64 1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
(.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 1/2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 1/2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9)))))) (.f64 (pow.f64 g 3) (cbrt.f64 1/2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2)))))
(.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 -1/2))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (+.f64 (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (pow.f64 g 2))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))))) (.f64 1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/3))) (.f64 (cbrt.f64 -1/2) (pow.f64 g 3))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (+.f64 (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (pow.f64 g 2))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3))))))
(.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (+.f64 (.f64 -1/18 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 11))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (.f64 (-.f64 (.f64 1/216 (/.f64 1 (.f64 a (.f64 (pow.f64 (cbrt.f64 2) 6) (pow.f64 g 5))))) (.f64 13/144 (/.f64 1 (.f64 a (pow.f64 g 5))))) (pow.f64 h 6))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 g 2)) 1/3))) (+.f64 (.f64 -1/18 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 11))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))))
(*.f64 -1 (pow.f64 h 2))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(pow.f64 g 2)
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(pow.f64 g 2)
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(pow.f64 g 2)
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(*.f64 -1 (pow.f64 h 2))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(*.f64 -1 (pow.f64 h 2))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))

Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (*.f64 (sqrt.f64 -1) h))
(fma.f64 (sqrt.f64 -1) h (.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h))))
(fma.f64 (/.f64 1/2 h) (/.f64 (.f64 g g) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (.f64 (sqrt.f64 -1) h)))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))))))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 g (/.f64 (.f64 (sqrt.f64 -1) h) g)) (.f64 (/.f64 -1/8 (pow.f64 h 3)) (/.f64 (pow.f64 g 4) (neg.f64 (sqrt.f64 -1))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (.f64 1/16 (/.f64 (pow.f64 g 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (/.f64 g (/.f64 (.f64 (sqrt.f64 -1) h) g)) (fma.f64 (sqrt.f64 -1) h (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (*.f64 (/.f64 1/16 (pow.f64 h 5)) (/.f64 (pow.f64 g 6) (pow.f64 (sqrt.f64 -1) 5))))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) g)
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) g)
(fma.f64 (/.f64 -1/2 g) (*.f64 h h) g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 h h) g) g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
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g
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(*.f64 (cbrt.f64 (/.f64 h (/.f64 a (sqrt.f64 -1)))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 -1) a) h)) (cbrt.f64 1/2))
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(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (+.f64 (.f64 -1/18 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 11))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))))
(fma.f64 -1/6 (.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 h h))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 g 5) a)))) (fma.f64 -1/18 (.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 h 4))) (cbrt.f64 (/.f64 1 (.f64 a (pow.f64 g 11))))) (.f64 (cbrt.f64 (/.f64 g a)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 g 5) a)))) (fma.f64 (cbrt.f64 (/.f64 g a)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (.f64 -1/18 (.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 h 4)) (cbrt.f64 (/.f64 1 (*.f64 a (pow.f64 g 11))))))))
(fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))) (fma.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 g 5) a))) -1/6) (.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 11))) (.f64 -1/18 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 h 4))))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (.f64 (-.f64 (.f64 1/216 (/.f64 1 (.f64 a (.f64 (pow.f64 (cbrt.f64 2) 6) (pow.f64 g 5))))) (.f64 13/144 (/.f64 1 (.f64 a (pow.f64 g 5))))) (pow.f64 h 6))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 g 2)) 1/3))) (+.f64 (.f64 -1/18 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 11))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))))
(fma.f64 -1/6 (.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 h h))) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 g 5) a)))) (fma.f64 1/3 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (.f64 (pow.f64 h 6) (-.f64 (/.f64 1/216 (.f64 a (.f64 (pow.f64 g 5) (pow.f64 (cbrt.f64 2) 6)))) (/.f64 13/144 (.f64 (pow.f64 g 5) a))))) (pow.f64 (cbrt.f64 2) 2)) (cbrt.f64 (/.f64 (.f64 a a) (.f64 g g)))) (fma.f64 -1/18 (.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 h 4))) (cbrt.f64 (/.f64 1 (.f64 a (pow.f64 g 11))))) (.f64 (cbrt.f64 (/.f64 g a)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 g 5) a)))) (fma.f64 1/3 (/.f64 (.f64 (pow.f64 h 6) (.f64 (cbrt.f64 -1/2) (+.f64 (/.f64 (/.f64 1/216 (.f64 4 a)) (pow.f64 g 5)) (/.f64 -13/144 (.f64 (pow.f64 g 5) a))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (cbrt.f64 (/.f64 (/.f64 (.f64 a a) g) g)))) (fma.f64 (cbrt.f64 (/.f64 g a)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (.f64 -1/18 (.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 h 4)) (cbrt.f64 (/.f64 1 (.f64 a (pow.f64 g 11)))))))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 g 5) a)))) (fma.f64 (cbrt.f64 (.f64 (/.f64 a (.f64 g g)) a)) (.f64 (/.f64 (.f64 1/3 (cbrt.f64 -1/2)) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 h 6))) (+.f64 (/.f64 1/216 (.f64 4 (.f64 (pow.f64 g 5) a))) (/.f64 -13/144 (.f64 (pow.f64 g 5) a)))) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))) (.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 11))) (.f64 -1/18 (*.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 h 4)))))))
(*.f64 -1 (pow.f64 h 2))
(neg.f64 (*.f64 h h))
(*.f64 h (neg.f64 h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(pow.f64 g 2)
(*.f64 g g)
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(pow.f64 g 2)
(*.f64 g g)
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(pow.f64 g 2)
(*.f64 g g)
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 -1 (pow.f64 h 2))
(neg.f64 (*.f64 h h))
(*.f64 h (neg.f64 h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 -1 (pow.f64 h 2))
(neg.f64 (*.f64 h h))
(*.f64 h (neg.f64 h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))
(+.f64 (pow.f64 g 2) (*.f64 -1 (pow.f64 h 2)))
(+.f64 (.f64 g g) (neg.f64 (.f64 h h)))
(-.f64 (.f64 g g) (.f64 h h))

eval170.0ms (1.9%)

Compiler: Compiled 12673 to 6127 computations (51.7% saved)

prune76.0ms (0.9%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	271	21	292
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	271	22	293

Error

28.8b

Counts

293 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	33.4b	(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	53.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
▶	46.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	44.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	47.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	32.7b	(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)))) 3) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
	47.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
▶	45.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
	40.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (.f64 h h))) 1/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	37.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
▶	45.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
	30.5b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	39.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	39.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) (/.f64 -1/2 a))))
	43.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
▶	42.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
✓	32.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
▶	30.5b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	44.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	31.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	55.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))

Compiler

Compiled 1498 to 904 computations (39.7% saved)

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))
	0.2b	(.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a)))
	0.1b	(.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))
	0.0b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
✓	2.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
	4.6b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	h	@	0	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
0.0ms	g	@	0	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
0.0ms	g	@	inf	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
0.0ms	h	@	-inf	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
0.0ms	g	@	-inf	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)

rewrite52.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`fma-def_binary64`
325×	`fma-neg_binary64`
166×	`expm1-udef_binary64`
166×	`log1p-udef_binary64`
142×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	190	15
2	2875	14

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) (neg.f64 g))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) (.f64 (neg.f64 g) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) (fma.f64 (neg.f64 g) 1 g))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) (fma.f64 (neg.f64 (cbrt.f64 g)) (cbrt.f64 (.f64 g g)) g))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) (+.f64 (neg.f64 g) g))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 g) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))))) (#(struct:change #<rule 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Outputs

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

simplify41.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

585×	`fma-neg_binary64`
490×	`times-frac_binary64`
350×	`fma-def_binary64`
282×	`unswap-sqr_binary64`
275×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	616
1	263	601
2	831	587
3	4178	587

Stop Event

1×	node limit

Counts

120 → 129

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g))))
(*.f64 -1/2 (/.f64 (pow.f64 h 2) g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 h 8)) (pow.f64 (.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7))) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 -2 g)
(+.f64 (.f64 -2 g) (.f64 1/2 (/.f64 (pow.f64 h 2) g)))
(+.f64 (.f64 -2 g) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 -2 g) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 -1/2 (/.f64 (pow.f64 h 2) g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 g 6))) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2)) (pow.f64 h 8)) g)) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g))))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (*.f64 -1 g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (*.f64 -1 g)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 (.f64 -1 g) (.f64 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))

Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g))
(fma.f64 (sqrt.f64 -1) h (neg.f64 g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g)))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h (neg.f64 g)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g))))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (neg.f64 g))))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (.f64 (sqrt.f64 -1) h)) g))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (*.f64 (sqrt.f64 -1) h))) g)
(*.f64 -1/2 (/.f64 (pow.f64 h 2) g))
(.f64 -1/2 (/.f64 (.f64 h h) g))
(*.f64 -1/2 (/.f64 h (/.f64 g h)))
(.f64 -1/2 (.f64 (/.f64 h g) h))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (/.f64 (.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3)))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (/.f64 h (/.f64 g h))))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (.f64 -1/2 (.f64 (/.f64 h g) h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (/.f64 (.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)))))
(fma.f64 -1/2 (.f64 (/.f64 h g) h) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 h 8)) (pow.f64 (.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7))) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (pow.f64 h 8) (pow.f64 (.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7)) (/.f64 (*.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (.f64 -1/2 (/.f64 (fma.f64 1/16 (pow.f64 h 8) (.f64 (pow.f64 h 8) 1/64)) (pow.f64 g 7))))))
(fma.f64 -1/2 (.f64 (/.f64 h g) h) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (/.f64 -1/2 (/.f64 (pow.f64 g 7) (.f64 (pow.f64 h 8) 5/64))))))
(*.f64 -2 g)
(*.f64 g -2)
(+.f64 (.f64 -2 g) (.f64 1/2 (/.f64 (pow.f64 h 2) g)))
(fma.f64 -2 g (.f64 1/2 (/.f64 (.f64 h h) g)))
(fma.f64 g -2 (*.f64 1/2 (/.f64 h (/.f64 g h))))
(fma.f64 g -2 (.f64 1/2 (.f64 (/.f64 h g) h)))
(+.f64 (.f64 -2 g) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -2 g (fma.f64 1/2 (/.f64 (.f64 h h) g) (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 g -2 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 g -2 (fma.f64 1/2 (.f64 (/.f64 h g) h) (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 -2 g) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -2 g (fma.f64 1/2 (/.f64 (.f64 h h) g) (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 g -2 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 g -2 (fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 1/2 (.f64 (/.f64 h g) h) (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(*.f64 -1/2 (/.f64 (pow.f64 h 2) g))
(.f64 -1/2 (/.f64 (.f64 h h) g))
(*.f64 -1/2 (/.f64 h (/.f64 g h)))
(.f64 -1/2 (.f64 (/.f64 h g) h))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (/.f64 (.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3)))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (/.f64 h (/.f64 g h))))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (.f64 -1/2 (.f64 (/.f64 h g) h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (/.f64 (.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)))))
(fma.f64 -1/2 (.f64 (/.f64 h g) h) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 g 6))) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2)) (pow.f64 h 8)) g)) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 g 6)) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2)) (/.f64 g (pow.f64 h 8))) (/.f64 (.f64 -1/8 (pow.f64 h 4)) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 -1/2 (/.f64 (+.f64 (/.f64 1/16 (pow.f64 g 6)) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2)) (/.f64 g (pow.f64 h 8)))))))
(fma.f64 -1/2 (.f64 (/.f64 h g) h) (fma.f64 -1/2 (.f64 (pow.f64 h 8) (/.f64 (+.f64 (/.f64 1/16 (pow.f64 g 6)) (pow.f64 (/.f64 -1/8 (pow.f64 g 3)) 2)) g)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (*.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6)))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g))
(fma.f64 (sqrt.f64 -1) h (neg.f64 g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g)))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h (neg.f64 g)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g))))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (neg.f64 g))))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (-.f64 (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (.f64 (sqrt.f64 -1) h)) g))
(-.f64 (fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (*.f64 (sqrt.f64 -1) h))) g)
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 h (neg.f64 (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (*.f64 -1 g))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 -1) h) g))
(neg.f64 (fma.f64 (sqrt.f64 -1) h g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (*.f64 -1 g)))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (.f64 -1 (+.f64 (.f64 (sqrt.f64 -1) h) g)))
(fma.f64 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) -1/2 (neg.f64 (fma.f64 (sqrt.f64 -1) h g)))
(-.f64 (/.f64 (/.f64 (*.f64 g g) (/.f64 (sqrt.f64 -1) -1/2)) h) (fma.f64 (sqrt.f64 -1) h g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 (.f64 -1 g) (.f64 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1 (.f64 (sqrt.f64 -1) h) (fma.f64 -1 g (/.f64 (.f64 1/8 (pow.f64 g 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))))))
(fma.f64 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) -1/2 (fma.f64 -1 (fma.f64 (sqrt.f64 -1) h g) (.f64 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) 1/8)))
(fma.f64 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) -1/2 (-.f64 (*.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (/.f64 (/.f64 (*.f64 g g) (/.f64 (sqrt.f64 -1) -1/2)) h)) (fma.f64 (sqrt.f64 -1) h g))

localize16.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	2.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	0.2b	(*.f64 (+.f64 g g) (/.f64 -1/2 a))
	0.1b	(.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g))
	0.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
	8.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
✓	11.5b	(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))
	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	g	@	0	(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))
1.0ms	g	@	inf	(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))
1.0ms	a	@	inf	(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))
1.0ms	a	@	0	(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))
0.0ms	a	@	-inf	(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))

rewrite39.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
89×	`add-sqr-sqrt_binary64`
83×	`*-un-lft-identity_binary64`
83×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	176	9
2	2423	9

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

24 → 24

Calls

Call 1

Inputs

Outputs

localize22.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.4b	(.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))))
	0.3b	(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))
	0.1b	(.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g))
	0.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
	8.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
✓	11.5b	(cbrt.f64 (/.f64 g a))
	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	g	@	inf	(cbrt.f64 (/.f64 g a))
0.0ms	a	@	-inf	(cbrt.f64 (/.f64 g a))
0.0ms	g	@	-inf	(cbrt.f64 (/.f64 g a))
0.0ms	g	@	0	(cbrt.f64 (/.f64 g a))
0.0ms	a	@	inf	(cbrt.f64 (/.f64 g a))

rewrite32.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`pow1_binary64`
497×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`
497×	`expm1-log1p-u_binary64`
484×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	103	6
2	1333	6

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 g a))

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

26 → 26

Calls

Call 1

Inputs

Outputs

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2))) (/.f64 -1/2 a))
	0.1b	(pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)
	0.1b	(.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g))
	0.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
✓	4.6b	(cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2))) (/.f64 -1/2 a)))
	8.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
✓	37.4b	(cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))

series9.0ms (0.1%)

Counts

2 → 32

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	h	@	-inf	(cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))
1.0ms	h	@	inf	(cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2))) (/.f64 -1/2 a)))
1.0ms	g	@	-inf	(cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2))) (/.f64 -1/2 a)))
1.0ms	g	@	0	(cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2))) (/.f64 -1/2 a)))
1.0ms	h	@	0	(cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2))) (/.f64 -1/2 a)))

rewrite60.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`log1p-udef_binary64`
172×	`add-sqr-sqrt_binary64`
164×	`pow1_binary64`
163×	`*-un-lft-identity_binary64`
161×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	340	35
2	4628	35

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))
(cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2))) (/.f64 -1/2 a)))

Outputs

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

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

simplify45.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
620×	`associate-/l*_binary64`
281×	`associate-*l/_binary64`
243×	`associate-*r/_binary64`
155×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	180	1542
1	559	1438
2	2027	1415

Stop Event

1×	node limit

Counts

82 → 96

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 -1 g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 -1 g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (.f64 -1 (.f64 (sqrt.f64 -1) h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (.f64 1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 g 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))) (.f64 1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
(.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 -1/2))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (+.f64 (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (pow.f64 g 2))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3)))))
(+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))))) (.f64 1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/3))) (.f64 (cbrt.f64 -1/2) (pow.f64 g 3))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (+.f64 (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (pow.f64 g 2))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3))))))
(.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (+.f64 (.f64 -1/18 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 11))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (.f64 (-.f64 (.f64 1/216 (/.f64 1 (.f64 a (.f64 (pow.f64 (cbrt.f64 2) 6) (pow.f64 g 5))))) (.f64 13/144 (/.f64 1 (.f64 a (pow.f64 g 5))))) (pow.f64 h 6))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 g 2)) 1/3))) (+.f64 (.f64 -1/18 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 11))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))))

Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (*.f64 (sqrt.f64 -1) h))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (.f64 (sqrt.f64 -1) h))
(fma.f64 (sqrt.f64 -1) h (/.f64 (/.f64 (*.f64 g g) (/.f64 h 1/2)) (sqrt.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (.f64 (sqrt.f64 -1) h)))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (/.f64 -1/8 (/.f64 (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3)) (pow.f64 g 4)))))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (/.f64 -1/8 (/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (/.f64 (.f64 1/16 (pow.f64 g 6)) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5))))))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 g 6) (pow.f64 h 5)) (/.f64 -1/8 (/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)))))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) g)
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 h h) g) g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 -1/2 (/.f64 h (/.f64 g h)) g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (+.f64 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g)))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) g)))
(*.f64 -1 g)
(neg.f64 g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 -1 g))
(fma.f64 1/2 (/.f64 (*.f64 h h) g) (neg.f64 g))
(-.f64 (/.f64 (.f64 1/2 (.f64 h h)) g) g)
(fma.f64 1/2 (/.f64 h (/.f64 g h)) (neg.f64 g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 1/2 (/.f64 (.f64 h h) g) (fma.f64 -1 g (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 1/2 (/.f64 h (/.f64 g h)) (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (neg.f64 g)))
(fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (neg.f64 g)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 1/2 (/.f64 (.f64 h h) g) (fma.f64 -1 g (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 1/2 (/.f64 h (/.f64 g h)) (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (neg.f64 g))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (neg.f64 g))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(fma.f64 -1/2 (/.f64 (*.f64 h h) g) g)
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (fma.f64 -1/2 (/.f64 (.f64 h h) g) g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g))
(fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 -1/2 (/.f64 h (/.f64 g h)) g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (+.f64 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) g)))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) g)))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (*.f64 (sqrt.f64 -1) h))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (.f64 (sqrt.f64 -1) h))
(fma.f64 (sqrt.f64 -1) h (/.f64 (/.f64 (*.f64 g g) (/.f64 h 1/2)) (sqrt.f64 -1)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (.f64 (sqrt.f64 -1) h)))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (/.f64 -1/8 (/.f64 (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3)) (pow.f64 g 4)))))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (/.f64 -1/8 (/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3))))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (.f64 1/16 (/.f64 (pow.f64 g 6) (*.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))))))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h (/.f64 (.f64 1/16 (pow.f64 g 6)) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5))))))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (fma.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 g 6) (pow.f64 h 5)) (/.f64 -1/8 (/.f64 (neg.f64 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)))))))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (.f64 -1 (.f64 (sqrt.f64 -1) h)))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (neg.f64 (*.f64 (sqrt.f64 -1) h)))
(-.f64 (.f64 (/.f64 -1/2 h) (/.f64 (.f64 g g) (sqrt.f64 -1))) (*.f64 (sqrt.f64 -1) h))
(-.f64 (/.f64 (/.f64 (.f64 -1/2 g) (/.f64 (sqrt.f64 -1) g)) h) (.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (.f64 1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))))))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1 (.f64 (sqrt.f64 -1) h) (.f64 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) 1/8)))
(fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (-.f64 (.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 g 4) (pow.f64 h 3))) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (-.f64 (/.f64 (/.f64 (.f64 -1/2 g) (/.f64 (sqrt.f64 -1) g)) h) (.f64 (sqrt.f64 -1) h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 g 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5)))) (.f64 1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1 (.f64 (sqrt.f64 -1) h) (fma.f64 -1/16 (/.f64 (pow.f64 g 6) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5))) (.f64 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) 1/8))))
(fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (-.f64 (fma.f64 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) 1/8 (.f64 (/.f64 -1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 (pow.f64 g 6) (pow.f64 h 5)))) (.f64 (sqrt.f64 -1) h)))
(fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (fma.f64 (/.f64 1/8 (neg.f64 (sqrt.f64 -1))) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (-.f64 (/.f64 (/.f64 (.f64 (pow.f64 g 6) -1/16) (pow.f64 h 5)) (pow.f64 (sqrt.f64 -1) 5)) (*.f64 (sqrt.f64 -1) h))))
(.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 -1/2))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) (/.f64 a h))) (cbrt.f64 -1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 -1) a) h)) (cbrt.f64 -1/2))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) (/.f64 a h))) (cbrt.f64 -1/2) (.f64 1/3 (.f64 (.f64 g (cbrt.f64 -1/2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 h h) (pow.f64 a 7)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 h h) (pow.f64 a 7)))) 1/18)))))
(fma.f64 1/3 (.f64 (.f64 (.f64 g (cbrt.f64 -1/2)) (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18)) (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18)) (.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 -1) a) h)) (cbrt.f64 -1/2)))
(.f64 (cbrt.f64 -1/2) (+.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 -1) a) h)) (.f64 (.f64 g (.f64 (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18) (pow.f64 (/.f64 -1 (.f64 h (*.f64 h (pow.f64 a 7)))) 1/18))) 1/3)))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (+.f64 (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (pow.f64 g 2))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3)))))
(fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) (/.f64 a h))) (cbrt.f64 -1/2) (.f64 1/3 (+.f64 (.f64 (.f64 g (cbrt.f64 -1/2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 h h) (pow.f64 a 7)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 h h) (pow.f64 a 7)))) 1/18))) (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (.f64 g g) (-.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18))))) (cbrt.f64 (/.f64 (.f64 a a) (.f64 (*.f64 h h) (pow.f64 (sqrt.f64 -1) 2)))))))))
(fma.f64 1/3 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 (.f64 g (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18)) (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18)) (.f64 (.f64 g g) (.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18) (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18)) -1/3)) (cbrt.f64 (.f64 -1 (.f64 (/.f64 a h) (/.f64 a h)))))))) (.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 -1) a) h)) (cbrt.f64 -1/2)))
(fma.f64 1/3 (.f64 (cbrt.f64 -1/2) (fma.f64 (.f64 g (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18)) (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18) (.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18) (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18)) -1/3 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a)))) (.f64 (.f64 g g) (cbrt.f64 (neg.f64 (/.f64 (/.f64 (.f64 a a) h) h))))))) (.f64 (cbrt.f64 (*.f64 (/.f64 (sqrt.f64 -1) a) h)) (cbrt.f64 -1/2)))
(+.f64 (.f64 -1/3 (.f64 (.f64 (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))))) (.f64 1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/3))) (.f64 (cbrt.f64 -1/2) (pow.f64 g 3))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 -1/2)) (+.f64 (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9))) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (pow.f64 g 2))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (.f64 (.f64 h h) (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (fma.f64 2/3 (.f64 (-.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18)))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 h 5) (pow.f64 a 4)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 h 5) (pow.f64 a 4)))) 1/18))) (.f64 1/27 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 h h) (pow.f64 a 7))))))) (.f64 (pow.f64 g 3) (cbrt.f64 -1/2)))) (fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) (/.f64 a h))) (cbrt.f64 -1/2) (.f64 1/3 (+.f64 (.f64 (.f64 g (cbrt.f64 -1/2)) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 h h) (pow.f64 a 7)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (.f64 h h) (pow.f64 a 7)))) 1/18))) (.f64 (cbrt.f64 -1/2) (.f64 (.f64 (.f64 g g) (-.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18))))) (cbrt.f64 (/.f64 (.f64 a a) (.f64 (*.f64 h h) (pow.f64 (sqrt.f64 -1) 2))))))))))
(fma.f64 -1/3 (.f64 (cbrt.f64 (.f64 -1 (.f64 (/.f64 a h) (/.f64 a h)))) (.f64 (fma.f64 2/3 (.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18) (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18)) -1/3)) (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) (.f64 (pow.f64 h 5) (pow.f64 a 4))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) (.f64 (pow.f64 h 5) (pow.f64 a 4))) 1/18))) (.f64 1/27 (cbrt.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7))))))) (.f64 (pow.f64 g 3) (cbrt.f64 -1/2)))) (fma.f64 1/3 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 (.f64 g (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18)) (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18)) (.f64 (.f64 g g) (.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18) (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18)) -1/3)) (cbrt.f64 (.f64 -1 (.f64 (/.f64 a h) (/.f64 a h)))))))) (.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 -1) a) h)) (cbrt.f64 -1/2))))
(+.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 -1) a) h)) (.f64 (.f64 g (.f64 (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18) (pow.f64 (/.f64 -1 (.f64 h (.f64 h (pow.f64 a 7)))) 1/18))) 1/3))) (.f64 (cbrt.f64 (neg.f64 (/.f64 (/.f64 (.f64 a a) h) h))) (+.f64 (.f64 1/3 (.f64 (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18) (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18)) -1/3 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a)))) (.f64 (.f64 g g) (cbrt.f64 -1/2)))) (.f64 -1/3 (.f64 (cbrt.f64 -1/2) (.f64 (pow.f64 g 3) (fma.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 h 5) (pow.f64 a 4)))) 1/18) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 h 5) (pow.f64 a 4)))) 1/18) (fma.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18) (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18)) -1/3 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a)))))) (.f64 1/27 (cbrt.f64 (/.f64 -1 (.f64 h (*.f64 h (pow.f64 a 7)))))))))))))
(.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))
(.f64 (cbrt.f64 (/.f64 g a)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))
(.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(fma.f64 -1/6 (.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 h h))) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5)))) (.f64 (cbrt.f64 (/.f64 g a)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5)))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
(fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))) (/.f64 (.f64 -1/6 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 h h))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (+.f64 (.f64 -1/18 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 11))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))))
(fma.f64 -1/6 (.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 h h))) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5)))) (fma.f64 -1/18 (.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 h 4))) (cbrt.f64 (/.f64 1 (.f64 a (pow.f64 g 11))))) (.f64 (cbrt.f64 (/.f64 g a)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5)))) (fma.f64 (cbrt.f64 (/.f64 g a)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 11))) (.f64 -1/18 (*.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 h 4))))))
(fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))) (fma.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 h 4)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 11))) -1/18) (/.f64 (.f64 -1/6 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 h h)))))
(+.f64 (.f64 -1/6 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 2)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 5))) 1/3))) (+.f64 (.f64 1/3 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (.f64 (-.f64 (.f64 1/216 (/.f64 1 (.f64 a (.f64 (pow.f64 (cbrt.f64 2) 6) (pow.f64 g 5))))) (.f64 13/144 (/.f64 1 (.f64 a (pow.f64 g 5))))) (pow.f64 h 6))) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 g 2)) 1/3))) (+.f64 (.f64 -1/18 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 11))) 1/3))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))))
(fma.f64 -1/6 (.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 h h))) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5)))) (fma.f64 1/3 (.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 (pow.f64 h 6) (-.f64 (/.f64 1/216 (.f64 a (.f64 (pow.f64 g 5) (pow.f64 (cbrt.f64 2) 6)))) (/.f64 13/144 (.f64 (pow.f64 g 5) a)))))) (cbrt.f64 (/.f64 (.f64 a a) (.f64 g g)))) (fma.f64 -1/18 (.f64 (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 h 4))) (cbrt.f64 (/.f64 1 (.f64 a (pow.f64 g 11))))) (.f64 (cbrt.f64 (/.f64 g a)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5)))) (fma.f64 1/3 (/.f64 (.f64 (+.f64 (/.f64 1/216 (.f64 (pow.f64 g 5) (.f64 4 a))) (/.f64 -13/144 (.f64 (pow.f64 g 5) a))) (.f64 (pow.f64 h 6) (cbrt.f64 -1/2))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (cbrt.f64 (/.f64 (.f64 a a) (.f64 g g))))) (fma.f64 (cbrt.f64 (/.f64 g a)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 11))) (.f64 -1/18 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 h 4)))))))
(fma.f64 (cbrt.f64 (.f64 (/.f64 a g) (/.f64 a g))) (.f64 (/.f64 (.f64 1/3 (cbrt.f64 -1/2)) (/.f64 (pow.f64 (cbrt.f64 2) 2) (pow.f64 h 6))) (+.f64 (/.f64 1/216 (.f64 (pow.f64 g 5) (.f64 4 a))) (/.f64 -13/144 (.f64 (pow.f64 g 5) a)))) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))) (fma.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 h 4)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 11))) -1/18) (/.f64 (.f64 -1/6 (.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5))))) (/.f64 (pow.f64 (cbrt.f64 2) 2) (.f64 h h))))))

localize23.0ms (0.3%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2) 1/3) g))
	0.1b	(.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))
	0.1b	(pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)
	0.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
✓	11.6b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2) 1/3) g)))
	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
✓	30.4b	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g)
✓	39.2b	(pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)

series50.0ms (0.6%)

Counts

3 → 60

Calls

21 calls:

Time	Variable		Point	Expression
13.0ms	h	@	inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2) 1/3) g)))
6.0ms	h	@	inf	(pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)
5.0ms	g	@	inf	(pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)
3.0ms	h	@	-inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2) 1/3) g)))
3.0ms	h	@	inf	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g)

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

295×	`log1p-udef_binary64`
183×	`add-sqr-sqrt_binary64`
174×	`pow1_binary64`
173×	`add-log-exp_binary64`
173×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	372	50
2	4883	50

Stop Event

1×	node limit

Counts

3 → 86

Calls

Call 1

Inputs

(pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3)

(-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3) g)

(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 3/2) 1/3) g)))

Outputs

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

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

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

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

402×	`associate-r_binary64`
379×	`fma-def_binary64`
296×	`associate-l_binary64`
220×	`associate-/r*_binary64`
194×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	396	6256
1	1363	5530

Stop Event

1×	node limit

Counts

146 → 194

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 -1) h)))) (pow.f64 g 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 (sqrt.f64 -1) h) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 -1) h)))) (pow.f64 g 4)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2)))) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 -1) (pow.f64 h 3))) (.f64 1/8 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))))) (.f64 -1 (/.f64 (-.f64 (.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 -1) h)))) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))))) (pow.f64 g 6)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2)))))))
g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 g 3) (pow.f64 h 4))) (.f64 -3/4 (.f64 (pow.f64 g 3) (pow.f64 h 4)))) (.f64 3/4 (.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 g 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g))
(+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 g 3) (pow.f64 h 4))) (.f64 -3/4 (.f64 (pow.f64 g 3) (pow.f64 h 4)))) (.f64 3/4 (.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 g 6))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 -1/2 (.f64 (pow.f64 g 3) (pow.f64 h 6))) (+.f64 (.f64 -9/16 (.f64 (pow.f64 g 3) (pow.f64 h 6))) (.f64 9/8 (.f64 (pow.f64 g 3) (pow.f64 h 6))))) (+.f64 (.f64 -1/8 (.f64 (pow.f64 g 3) (pow.f64 h 6))) (.f64 -1 (.f64 (-.f64 (+.f64 (.f64 9/8 (.f64 (pow.f64 g 3) (pow.f64 h 4))) (.f64 -3/4 (.f64 (pow.f64 g 3) (pow.f64 h 4)))) (.f64 3/4 (*.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 h 2))))) (pow.f64 g 8))))))
(*.f64 -1 g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 -1 g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 -9/8 (.f64 (pow.f64 g 3) (pow.f64 h 4))) (.f64 3/4 (.f64 (pow.f64 g 3) (pow.f64 h 4)))) (.f64 -3/4 (.f64 (pow.f64 g 3) (pow.f64 h 4)))) (pow.f64 g 6))) (*.f64 -1 g)))
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g
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 h 2) g)) g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 g (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3)
(+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2)))))
(+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)) 1/3) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (.f64 9/8 (pow.f64 g 4)) (.f64 -3/4 (pow.f64 g 4)))) (.f64 3/4 (.f64 (pow.f64 g 4) (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))))) (pow.f64 h 4)))) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2))))))
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(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3)
(+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (.f64 9/8 (pow.f64 g 4)) (.f64 -3/4 (pow.f64 g 4)))) (.f64 3/4 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) (pow.f64 h 4)))) (+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2))))))
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(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g))
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(*.f64 -1 g)
(+.f64 g (*.f64 -1 g))
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(*.f64 -1 g)
(.f64 2 (.f64 -1 g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 (*.f64 -1 g)))
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(*.f64 -1/2 (/.f64 (pow.f64 h 2) g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 -5/128 (/.f64 (pow.f64 h 8) (pow.f64 g 7))) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(-.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) g)
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2))))) g)
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)) 1/3) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (.f64 9/8 (pow.f64 g 4)) (.f64 -3/4 (pow.f64 g 4)))) (.f64 3/4 (.f64 (pow.f64 g 4) (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))))) (pow.f64 h 4)))) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2)))))) g)
(-.f64 (+.f64 (.f64 1/3 (.f64 (/.f64 (-.f64 (.f64 (+.f64 (.f64 9/8 (pow.f64 g 6)) (+.f64 (.f64 -1/2 (pow.f64 g 6)) (.f64 -9/16 (pow.f64 g 6)))) (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) (+.f64 (.f64 -1/8 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (pow.f64 g 6))) (.f64 -1 (.f64 (-.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (.f64 9/8 (pow.f64 g 4)) (.f64 -3/4 (pow.f64 g 4)))) (.f64 3/4 (.f64 (pow.f64 g 4) (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))))) (pow.f64 g 2))))) (pow.f64 h 6)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)) 1/3))) (+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)) 1/3) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (.f64 9/8 (pow.f64 g 4)) (.f64 -3/4 (pow.f64 g 4)))) (.f64 3/4 (.f64 (pow.f64 g 4) (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))))) (pow.f64 h 4)))) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3/2 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2))))))) g)
(-.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g)
(-.f64 (+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2))))) g)
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (.f64 9/8 (pow.f64 g 4)) (.f64 -3/4 (pow.f64 g 4)))) (.f64 3/4 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) (pow.f64 h 4)))) (+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2)))))) g)
(-.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (.f64 9/8 (pow.f64 g 4)) (.f64 -3/4 (pow.f64 g 4)))) (.f64 3/4 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) (pow.f64 h 4)))) (+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) (+.f64 (.f64 -1/2 (.f64 (pow.f64 (.f64 1 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))))) 1/3) (/.f64 (pow.f64 g 2) (pow.f64 h 2)))) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)) 1/3) (/.f64 (-.f64 (.f64 (+.f64 (.f64 9/8 (pow.f64 g 6)) (+.f64 (.f64 -1/2 (pow.f64 g 6)) (.f64 -9/16 (pow.f64 g 6)))) (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))))) (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (.f64 9/8 (pow.f64 g 4)) (.f64 -3/4 (pow.f64 g 4)))) (.f64 3/4 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 4)))) (pow.f64 g 2))) (.f64 -1/8 (.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 6))))) (pow.f64 h 6))))))) g)
(.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2))
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Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (*.f64 (sqrt.f64 -1) h))
(fma.f64 (sqrt.f64 -1) h (.f64 (/.f64 -1/2 h) (/.f64 (.f64 g g) (sqrt.f64 -1))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/3 (/.f64 (.f64 (-.f64 (.f64 3/8 (/.f64 (sqrt.f64 -1) h)) (.f64 3/4 (/.f64 1 (.f64 (sqrt.f64 -1) h)))) (pow.f64 g 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))))))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h (.f64 1/3 (/.f64 (-.f64 (/.f64 (.f64 3/8 (sqrt.f64 -1)) h) (/.f64 3/4 (.f64 (sqrt.f64 -1) h))) (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 h h)) (pow.f64 g 4))))))
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g
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eval839.0ms (9.5%)

Compiler: Compiled 52956 to 28620 computations (46% saved)

prune235.0ms (2.7%)

Pruning

38 alts after pruning (37 fresh and 1 done)

	Pruned	Kept	Total
New	1122	33	1155
Fresh	12	4	16
Picked	1	0	1
Done	4	1	5
Total	1139	38	1177

Error

8.7b

Counts

1177 → 38

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	42.3b	(+.f64 (.f64 (cbrt.f64 (.f64 -2 g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	45.1b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	39.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) (/.f64 -1/2 a))))
▶	13.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
	31.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	16.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (fma.f64 (/.f64 -1/2 g) (.f64 h h) g) g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
	38.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 3) 1/3))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	45.0b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g)) (/.f64 -1/2 a))))
	43.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))))
	28.9b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	43.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))))
	36.4b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
▶	49.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
✓	32.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	51.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	45.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (/.f64 a g))))))
	31.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (/.f64 -1/2 a))))
	54.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
	44.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	51.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g)) (/.f64 -1/2 a))))
	33.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	38.7b	(+.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (.f64 h h))) 1/2)) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	14.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
	38.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2)))))
	33.4b	(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
▶	42.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))))
	37.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	56.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g))) (/.f64 (+.f64 g g) (cbrt.f64 a)))
	40.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (.f64 h h))) 1/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	44.3b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
▶	47.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	32.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) 3))
	39.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	32.6b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))) 2)) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	46.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (.f64 -1/2 (/.f64 h (/.f64 g h))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	30.5b	(+.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 1/2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	45.8b	(+.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))

Compiler

Compiled 2582 to 1586 computations (38.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.5b	(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))
	0.2b	(*.f64 (+.f64 g g) (/.f64 -1/2 a))
✓	0.2b	(*.f64 (+.f64 g g) (/.f64 -1/2 a))
	11.5b	(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	g	@	0	(*.f64 (+.f64 g g) (/.f64 -1/2 a))
1.0ms	g	@	inf	(*.f64 (+.f64 g g) (/.f64 -1/2 a))
1.0ms	a	@	inf	(*.f64 (+.f64 g g) (/.f64 -1/2 a))
1.0ms	a	@	0	(*.f64 (+.f64 g g) (/.f64 -1/2 a))
0.0ms	g	@	-inf	(*.f64 (+.f64 g g) (/.f64 -1/2 a))

rewrite38.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

753×	`pow1_binary64`
705×	`log1p-expm1-u_binary64`
705×	`expm1-log1p-u_binary64`
81×	`add-sqr-sqrt_binary64`
76×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	157	7
2	2210	7

Stop Event

1×	node limit

Counts

1 → 42

Calls

Call 1

Inputs
(*.f64 (+.f64 g g) (/.f64 -1/2 a))

Outputs

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`fma-neg_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	144
1	10	144
2	17	144
3	23	144
4	29	144
5	37	144
6	45	144
7	55	144
8	63	144
9	77	144

Stop Event

1×

saturated

Counts

66 → 44

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))
(*.f64 -1 (/.f64 g a))

Outputs
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)
(*.f64 -1 (/.f64 g a))
(neg.f64 (/.f64 g a))
(/.f64 (neg.f64 g) a)

localize13.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	4.6b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
	1.6b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	0.1b	(.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))
✓	1.6b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
	4.6b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	g	@	0	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
0.0ms	g	@	-inf	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
0.0ms	h	@	-inf	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
0.0ms	g	@	inf	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
0.0ms	h	@	inf	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`fma-def_binary64`
336×	`fma-neg_binary64`
164×	`expm1-udef_binary64`
164×	`log1p-udef_binary64`
141×	`log-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	189	15
2	2879	14

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

Inputs
(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))

Outputs

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

simplify39.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-/l/_binary64`
466×	`times-frac_binary64`
307×	`fma-def_binary64`
229×	`associate-/l*_binary64`
228×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	548
1	220	537
2	699	523
3	3509	521

Stop Event

1×	node limit

Counts

75 → 82

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(*.f64 2 g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 2 g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 h 8)) (pow.f64 (.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7))) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 2 g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 2 g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 g (.f64 1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))

Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(fma.f64 (sqrt.f64 -1) h g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h g)))
(*.f64 2 g)
(*.f64 g 2)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 g))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (.f64 g 2))
(fma.f64 g 2 (*.f64 -1/2 (/.f64 h (/.f64 g h))))
(fma.f64 g 2 (.f64 (/.f64 -1/2 g) (.f64 h h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 2 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 g 2 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (.f64 (/.f64 -1/2 g) (.f64 h h))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 2 g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 2 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (.f64 (/.f64 h g) h) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 g 2 (.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6)))))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(/.f64 (.f64 1/2 (.f64 h h)) g)
(*.f64 1/2 (/.f64 h (/.f64 g h)))
(/.f64 (*.f64 h h) (/.f64 g 1/2))
(.f64 (/.f64 1/2 g) (.f64 h h))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 1/2 (/.f64 (.f64 h h) g) (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))
(fma.f64 1/2 (/.f64 h (/.f64 g h)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))
(fma.f64 1/2 (.f64 (/.f64 h g) h) (.f64 (/.f64 1/8 (pow.f64 g 3)) (pow.f64 h 4)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 1/2 (/.f64 (.f64 h h) g) (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 1/2 (.f64 (/.f64 h g) h) (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (.f64 (/.f64 1/16 (pow.f64 g 5)) (pow.f64 h 6))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 h 8)) (pow.f64 (.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7))) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 1/2 (/.f64 (.f64 h h) g) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 h 8) (pow.f64 (.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 h 8) (.f64 (pow.f64 h 8) 1/64)) (pow.f64 g 7)) (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 1/2 (+.f64 (.f64 (/.f64 h g) h) (/.f64 (.f64 (pow.f64 h 8) 5/64) (pow.f64 g 7))) (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (*.f64 (/.f64 1/16 (pow.f64 g 5)) (pow.f64 h 6))))
(fma.f64 1/2 (.f64 (/.f64 h g) h) (fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (/.f64 (.f64 (pow.f64 h 8) 5/128) (pow.f64 g 7)))))
(*.f64 2 g)
(*.f64 g 2)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 g))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (.f64 g 2))
(fma.f64 g 2 (*.f64 -1/2 (/.f64 h (/.f64 g h))))
(fma.f64 g 2 (.f64 (/.f64 -1/2 g) (.f64 h h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 2 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 g 2 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (.f64 (/.f64 -1/2 g) (.f64 h h))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 2 g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 2 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (.f64 (/.f64 h g) h) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 g 2 (.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6)))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(fma.f64 (sqrt.f64 -1) h g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h g)))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) g)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) h) g)
(-.f64 g (*.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) g))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1 (*.f64 (sqrt.f64 -1) h) g))
(fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (-.f64 g (.f64 (sqrt.f64 -1) h)))
(-.f64 (fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 g) (.f64 (sqrt.f64 -1) h))
(-.f64 g (fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (.f64 (sqrt.f64 -1) h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 g (.f64 1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (+.f64 (fma.f64 -1 (.f64 (sqrt.f64 -1) h) g) (.f64 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) 1/8)))
(fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (-.f64 (fma.f64 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) 1/8 g) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) g) (.f64 (sqrt.f64 -1) h)))
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) g) (fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (.f64 (sqrt.f64 -1) h)))

localize19.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
	1.6b	(+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)))
	0.1b	(.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2))) (/.f64 -1/2 a))
	0.1b	(pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)
✓	1.6b	(+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)))
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
	4.6b	(cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2))) (/.f64 -1/2 a)))
	37.4b	(cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	g	@	0	(+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)))
0.0ms	g	@	-inf	(+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)))
0.0ms	g	@	inf	(+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)))
0.0ms	h	@	inf	(+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)))
0.0ms	h	@	0	(+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)))

rewrite46.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`fma-def_binary64`
309×	`fma-neg_binary64`
190×	`expm1-udef_binary64`
190×	`log1p-udef_binary64`
121×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	18
1	233	15
2	3295	14

Stop Event

1×	node limit

Counts

1 → 44

Calls

Call 1

Inputs
(+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)))

Outputs

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

simplify36.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

745×	`associate-/l/_binary64`
466×	`times-frac_binary64`
307×	`fma-def_binary64`
229×	`associate-/l*_binary64`
228×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	548
1	220	537
2	699	523
3	3509	521

Stop Event

1×	node limit

Counts

68 → 75

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(*.f64 2 g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 2 g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 h 8)) (pow.f64 (.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7))) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 2 g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 2 g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 g (.f64 1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))

Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(fma.f64 (sqrt.f64 -1) h g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h g)))
(*.f64 2 g)
(*.f64 g 2)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 g))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (.f64 g 2))
(fma.f64 g 2 (*.f64 -1/2 (/.f64 h (/.f64 g h))))
(fma.f64 g 2 (.f64 (/.f64 -1/2 g) (.f64 h h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 2 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 g 2 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (.f64 (/.f64 -1/2 g) (.f64 h h))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 2 g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 2 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (.f64 (/.f64 h g) h) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 g 2 (.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6)))))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(/.f64 (.f64 1/2 (.f64 h h)) g)
(*.f64 1/2 (/.f64 h (/.f64 g h)))
(/.f64 (*.f64 h h) (/.f64 g 1/2))
(.f64 (/.f64 1/2 g) (.f64 h h))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))
(fma.f64 1/2 (/.f64 (.f64 h h) g) (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))
(fma.f64 1/2 (/.f64 h (/.f64 g h)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))
(fma.f64 1/2 (.f64 (/.f64 h g) h) (.f64 (/.f64 1/8 (pow.f64 g 3)) (pow.f64 h 4)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (*.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 1/2 (/.f64 (.f64 h h) g) (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8)))
(fma.f64 1/2 (.f64 (/.f64 h g) h) (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (.f64 (/.f64 1/16 (pow.f64 g 5)) (pow.f64 h 6))))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (pow.f64 h 8)) (pow.f64 (.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7))) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 1/2 (/.f64 (.f64 h h) g) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 h 8) (pow.f64 (.f64 -1/8 (pow.f64 h 4)) 2)) (pow.f64 g 7)) (*.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 1/2 (/.f64 h (/.f64 g h)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (pow.f64 h 8) (.f64 (pow.f64 h 8) 1/64)) (pow.f64 g 7)) (.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8))))
(fma.f64 1/2 (+.f64 (.f64 (/.f64 h g) h) (/.f64 (.f64 (pow.f64 h 8) 5/64) (pow.f64 g 7))) (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (*.f64 (/.f64 1/16 (pow.f64 g 5)) (pow.f64 h 6))))
(fma.f64 1/2 (.f64 (/.f64 h g) h) (fma.f64 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) 1/16 (fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) 1/8 (/.f64 (.f64 (pow.f64 h 8) 5/128) (pow.f64 g 7)))))
(*.f64 2 g)
(*.f64 g 2)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 g))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (.f64 g 2))
(fma.f64 g 2 (*.f64 -1/2 (/.f64 h (/.f64 g h))))
(fma.f64 g 2 (.f64 (/.f64 -1/2 g) (.f64 h h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 2 g) (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 2 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(fma.f64 g 2 (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (.f64 (/.f64 -1/2 g) (.f64 h h))))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5))) (+.f64 (.f64 2 g) (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 (.f64 h h) g) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 2 g (.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (/.f64 h (/.f64 g h)) (fma.f64 -1/16 (/.f64 (pow.f64 h 6) (pow.f64 g 5)) (fma.f64 g 2 (*.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(fma.f64 -1/2 (.f64 (/.f64 h g) h) (fma.f64 -1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) (fma.f64 g 2 (.f64 (/.f64 -1/16 (pow.f64 g 5)) (pow.f64 h 6)))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(fma.f64 (sqrt.f64 -1) h g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (*.f64 (sqrt.f64 -1) h) g))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h g))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (*.f64 (sqrt.f64 -1) h) g)))
(fma.f64 1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 -1/8 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) (fma.f64 (sqrt.f64 -1) h g)))
(fma.f64 1/2 (*.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h g)))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) g)
(fma.f64 -1 (*.f64 (sqrt.f64 -1) h) g)
(-.f64 g (*.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) g))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (fma.f64 -1 (*.f64 (sqrt.f64 -1) h) g))
(fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (-.f64 g (.f64 (sqrt.f64 -1) h)))
(-.f64 (fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 g) (.f64 (sqrt.f64 -1) h))
(-.f64 g (fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (.f64 (sqrt.f64 -1) h)))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 g (.f64 1/8 (/.f64 (pow.f64 g 4) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))))
(fma.f64 -1/2 (/.f64 (.f64 g g) (.f64 (sqrt.f64 -1) h)) (+.f64 (fma.f64 -1 (.f64 (sqrt.f64 -1) h) g) (.f64 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3))) 1/8)))
(fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (-.f64 (fma.f64 (/.f64 (pow.f64 g 4) (.f64 (neg.f64 (sqrt.f64 -1)) (pow.f64 h 3))) 1/8 g) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) g) (.f64 (sqrt.f64 -1) h)))
(-.f64 (fma.f64 (/.f64 -1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) g) (fma.f64 1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (.f64 (sqrt.f64 -1) h)))

localize20.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.1b	(.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))
	0.1b	(pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)
	0.1b	(.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2)) g))
	0.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	4.6b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
✓	8.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2)) g)))
	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
	37.4b	(cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))

series5.0ms (0.1%)

Counts

1 → 4

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	g	@	0	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2)) g)))
1.0ms	a	@	0	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2)) g)))
1.0ms	h	@	inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2)) g)))
0.0ms	h	@	0	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2)) g)))
0.0ms	g	@	-inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2)) g)))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

280×	`log1p-udef_binary64`
173×	`add-sqr-sqrt_binary64`
165×	`pow1_binary64`
164×	`*-un-lft-identity_binary64`
162×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	341	23
2	4657	23

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2)) g)))

Outputs

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

simplify38.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

594×	`associate-l_binary64`
568×	`associate-r_binary64`
527×	`unswap-sqr_binary64`
239×	`fma-def_binary64`
225×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	77	601
1	232	530
2	785	500
3	4413	500

Stop Event

1×	node limit

Counts

28 → 32

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 1/2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 1/2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9)))))) (.f64 (pow.f64 g 3) (cbrt.f64 1/2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2)))))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2))
(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) (/.f64 a h))) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 -1) a) h)) (cbrt.f64 1/2))
(.f64 (cbrt.f64 (.f64 h (/.f64 (sqrt.f64 -1) a))) (cbrt.f64 1/2))
(+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 1/2)))
(fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (.f64 h h)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (.f64 h h)))) 1/18)) (.f64 (cbrt.f64 1/2) g)) (.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) (/.f64 a h))) (cbrt.f64 1/2)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 -1) a) h)) (cbrt.f64 1/2) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 -1 (.f64 h h)) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (/.f64 -1 (.f64 h h)) (pow.f64 a 7)) 1/18)) (.f64 (*.f64 (cbrt.f64 1/2) g) -1/3)))
(.f64 (cbrt.f64 1/2) (+.f64 (cbrt.f64 (.f64 h (/.f64 (sqrt.f64 -1) a))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 h) h) (pow.f64 a 7)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 h) h) (pow.f64 a 7)) 1/18) g)))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 1/2))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 h h)))) (.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18) (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18)))) (.f64 (cbrt.f64 1/2) (.f64 g g)))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (.f64 h h)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (.f64 h h)))) 1/18)) (.f64 (cbrt.f64 1/2) g)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) (/.f64 a h))) (cbrt.f64 1/2))))
(fma.f64 1/3 (.f64 (+.f64 (/.f64 (/.f64 1/2 (.f64 h a)) (sqrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18)))) (.f64 (.f64 (cbrt.f64 1/2) (.f64 g g)) (cbrt.f64 (.f64 -1 (.f64 (/.f64 a h) (/.f64 a h)))))) (fma.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 -1) a) h)) (cbrt.f64 1/2) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 -1 (.f64 h h)) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (/.f64 -1 (.f64 h h)) (pow.f64 a 7)) 1/18)) (.f64 (.f64 (cbrt.f64 1/2) g) -1/3))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 1/2) g) (.f64 g (.f64 (cbrt.f64 (.f64 (/.f64 a (.f64 h (neg.f64 h))) a)) (fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 h a)))))) (.f64 (cbrt.f64 1/2) (+.f64 (cbrt.f64 (.f64 h (/.f64 (sqrt.f64 -1) a))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 h) h) (pow.f64 a 7)) 1/18) (*.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 h) h) (pow.f64 a 7)) 1/18) g))))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (.f64 (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9))) (.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3) (.f64 (+.f64 (.f64 -1/27 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/3)) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/9) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 17) h))) 1/9)))))) (.f64 (pow.f64 g 3) (cbrt.f64 1/2))))) (+.f64 (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (pow.f64 h 2)))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2)))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 h h)))) (.f64 (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18) (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18)))) (.f64 (cbrt.f64 1/2) (.f64 g g)))) (fma.f64 -1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 h h)))) (.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (.f64 h h))))) (.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) (.f64 (pow.f64 a 4) (pow.f64 h 5))) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)) (.f64 (pow.f64 a 4) (pow.f64 h 5))) 1/18))) (+.f64 (/.f64 1/2 (.f64 (sqrt.f64 -1) (.f64 h a))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18) (pow.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (pow.f64 a 17))) 1/18)))))) (.f64 (cbrt.f64 1/2) (pow.f64 g 3)))) (fma.f64 -1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (.f64 h h)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 (pow.f64 a 7) (.f64 h h)))) 1/18)) (.f64 (cbrt.f64 1/2) g)) (*.f64 (cbrt.f64 (/.f64 (sqrt.f64 -1) (/.f64 a h))) (cbrt.f64 1/2)))))
(fma.f64 1/3 (.f64 (+.f64 (/.f64 (/.f64 1/2 (.f64 h a)) (sqrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18)))) (.f64 (.f64 (cbrt.f64 1/2) (.f64 g g)) (cbrt.f64 (.f64 -1 (.f64 (/.f64 a h) (/.f64 a h)))))) (fma.f64 -1/3 (.f64 (cbrt.f64 (.f64 -1 (.f64 (/.f64 a h) (/.f64 a h)))) (.f64 (fma.f64 -1/27 (cbrt.f64 (/.f64 (/.f64 -1 (.f64 h h)) (pow.f64 a 7))) (.f64 (+.f64 (/.f64 (/.f64 1/2 (.f64 h a)) (sqrt.f64 -1)) (.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18)))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/18))))) (.f64 (cbrt.f64 1/2) (pow.f64 g 3)))) (fma.f64 (cbrt.f64 (.f64 (/.f64 (sqrt.f64 -1) a) h)) (cbrt.f64 1/2) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 -1 (.f64 h h)) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (/.f64 -1 (.f64 h h)) (pow.f64 a 7)) 1/18)) (.f64 (.f64 (cbrt.f64 1/2) g) -1/3)))))
(+.f64 (.f64 (cbrt.f64 1/2) (+.f64 (cbrt.f64 (.f64 h (/.f64 (sqrt.f64 -1) a))) (.f64 -1/3 (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 h) h) (pow.f64 a 7)) 1/18) (.f64 (pow.f64 (/.f64 (/.f64 (/.f64 -1 h) h) (pow.f64 a 7)) 1/18) g))))) (.f64 (cbrt.f64 (.f64 (/.f64 a (.f64 h (neg.f64 h))) a)) (+.f64 (.f64 (cbrt.f64 1/2) (.f64 (.f64 (fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 h a))) (.f64 g g)) 1/3)) (.f64 -1/3 (.f64 (fma.f64 (fma.f64 -1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 17)))) 1/18)) (/.f64 (/.f64 1/2 (sqrt.f64 -1)) (.f64 h a))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 (pow.f64 a 4) (pow.f64 h 5)))) 1/18))) (.f64 -1/27 (cbrt.f64 (/.f64 (/.f64 (/.f64 -1 h) h) (pow.f64 a 7))))) (.f64 (cbrt.f64 1/2) (pow.f64 g 3)))))))

localize18.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.2b	(pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2)
	0.1b	(.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))
	0.1b	(.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g))
	0.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))))
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
	8.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
✓	13.6b	(cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))
	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series19.0ms (0.2%)

Counts

1 → 8

Calls

9 calls:

Time	Variable		Point	Expression
6.0ms	h	@	0	(cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))
3.0ms	g	@	0	(cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))
3.0ms	h	@	inf	(cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))
2.0ms	g	@	-inf	(cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))
2.0ms	g	@	inf	(cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))

rewrite56.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

278×	`log1p-udef_binary64`
171×	`add-sqr-sqrt_binary64`
165×	`pow1_binary64`
164×	`*-un-lft-identity_binary64`
160×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	341	26
2	4652	26

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)) 2))

Outputs

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

simplify32.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

741×	`times-frac_binary64`
448×	`associate-/r*_binary64`
434×	`fma-def_binary64`
349×	`associate-/l*_binary64`
133×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	968
1	411	852
2	1518	827

Stop Event

1×	node limit

Counts

31 → 39

Calls

Call 1

Inputs
(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1 (pow.f64 h 2))) (pow.f64 a 2)) 1/3) (cbrt.f64 1/4))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 1 (pow.f64 h 2))) (pow.f64 a 2)) 1/3) (cbrt.f64 1/4)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 1 (pow.f64 h 5))) (pow.f64 a 14)) 1/9) (.f64 (cbrt.f64 1/4) g))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 1 (pow.f64 h 2))) (pow.f64 a 2)) 1/3) (cbrt.f64 1/4)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 1 (pow.f64 h 5))) (pow.f64 a 14)) 1/9) (.f64 (cbrt.f64 1/4) g))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 4)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 h 4))) 1/3) (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 g 2) (-.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (.f64 4/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 16) (.f64 1 (pow.f64 h 16))) (pow.f64 a 34)) 1/9)))))))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 1 (pow.f64 h 2))) (pow.f64 a 2)) 1/3) (cbrt.f64 1/4)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 1 (pow.f64 h 5))) (pow.f64 a 14)) 1/9) (.f64 (cbrt.f64 1/4) g))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 4)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 h 4))) 1/3) (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 g 3) (-.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 2) h))) (+.f64 (.f64 8/27 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 1 (pow.f64 h 5))) (pow.f64 a 14)) 1/3)) (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 8) h))) 1/9) (-.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (.f64 4/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 16) (.f64 1 (pow.f64 h 16))) (pow.f64 a 34)) 1/9))))))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 4)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 h 4))) 1/3) (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 g 2) (-.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (.f64 4/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 16) (*.f64 1 (pow.f64 h 16))) (pow.f64 a 34)) 1/9))))))))))
(.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 g 2)) (pow.f64 a 2)) 1/3) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 g 2)) (pow.f64 a 2)) 1/3) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 4))) 1/3) (/.f64 (*.f64 (cbrt.f64 1/4) (pow.f64 h 2)) (pow.f64 (cbrt.f64 4) 2)))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 g 2)) (pow.f64 a 2)) 1/3) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 4))) 1/3) (/.f64 (.f64 (cbrt.f64 1/4) (pow.f64 h 2)) (pow.f64 (cbrt.f64 4) 2)))) (.f64 -7/36 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 10))) 1/3) (/.f64 (*.f64 (cbrt.f64 1/4) (pow.f64 h 4)) (pow.f64 (cbrt.f64 4) 2))))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 g 2)) (pow.f64 a 2)) 1/3) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 4)) (pow.f64 g 4)) 1/3) (/.f64 (.f64 (cbrt.f64 1/4) (.f64 (-.f64 (.f64 8/27 (/.f64 1 (.f64 (pow.f64 a 2) (.f64 (pow.f64 g 4) (pow.f64 (cbrt.f64 4) 6))))) (.f64 23/72 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 4))))) (pow.f64 h 6))) (pow.f64 (cbrt.f64 4) 2)))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 4))) 1/3) (/.f64 (.f64 (cbrt.f64 1/4) (pow.f64 h 2)) (pow.f64 (cbrt.f64 4) 2)))) (.f64 -7/36 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 10))) 1/3) (/.f64 (*.f64 (cbrt.f64 1/4) (pow.f64 h 4)) (pow.f64 (cbrt.f64 4) 2)))))))

Outputs
(.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (*.f64 1 (pow.f64 h 2))) (pow.f64 a 2)) 1/3) (cbrt.f64 1/4))
(.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (.f64 a a) (*.f64 h h)))) (cbrt.f64 1/4))
(.f64 (cbrt.f64 (.f64 (/.f64 -1 (.f64 a a)) (.f64 h h))) (cbrt.f64 1/4))
(.f64 (cbrt.f64 (/.f64 (neg.f64 h) (/.f64 (.f64 a a) h))) (cbrt.f64 1/4))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 1 (pow.f64 h 2))) (pow.f64 a 2)) 1/3) (cbrt.f64 1/4)) (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 1 (pow.f64 h 5))) (pow.f64 a 14)) 1/9) (.f64 (cbrt.f64 1/4) g))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (.f64 a a) (.f64 h h)))) (cbrt.f64 1/4) (.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (/.f64 (pow.f64 a 14) (pow.f64 h 5))) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (/.f64 (pow.f64 a 14) (pow.f64 h 5))) 1/18))) (.f64 (cbrt.f64 1/4) g)))
(fma.f64 (cbrt.f64 (.f64 (/.f64 -1 (.f64 a a)) (.f64 h h))) (cbrt.f64 1/4) (.f64 2/3 (.f64 g (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18) (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18) (cbrt.f64 1/4))))))
(.f64 (cbrt.f64 1/4) (+.f64 (cbrt.f64 (/.f64 (neg.f64 h) (/.f64 (.f64 a a) h))) (.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18) (pow.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18))) g)))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 1 (pow.f64 h 2))) (pow.f64 a 2)) 1/3) (cbrt.f64 1/4)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 1 (pow.f64 h 5))) (pow.f64 a 14)) 1/9) (.f64 (cbrt.f64 1/4) g))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 4)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 h 4))) 1/3) (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 g 2) (-.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (.f64 4/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 16) (.f64 1 (pow.f64 h 16))) (pow.f64 a 34)) 1/9)))))))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (.f64 a a) (.f64 h h)))) (cbrt.f64 1/4) (fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (/.f64 (pow.f64 a 14) (pow.f64 h 5))) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (/.f64 (pow.f64 a 14) (pow.f64 h 5))) 1/18)) (.f64 (cbrt.f64 1/4) g)) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 h 4))))) (.f64 (.f64 (cbrt.f64 1/4) (.f64 g g)) (+.f64 (/.f64 2 (.f64 a a)) (.f64 -4/3 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 16) (/.f64 (pow.f64 a 34) (pow.f64 h 16))) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 16) (/.f64 (pow.f64 a 34) (pow.f64 h 16))) 1/18))))))))
(fma.f64 (cbrt.f64 (.f64 (/.f64 -1 (.f64 a a)) (.f64 h h))) (cbrt.f64 1/4) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 h 4))) (.f64 (.f64 g g) (.f64 (-.f64 (/.f64 2 (.f64 a a)) (.f64 (.f64 4/3 (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18)) (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18))) (cbrt.f64 1/4)))) (.f64 2/3 (.f64 g (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18) (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18) (cbrt.f64 1/4)))))))
(fma.f64 2/3 (.f64 (cbrt.f64 1/4) (.f64 g (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18) (pow.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18)))) (.f64 (cbrt.f64 1/4) (+.f64 (cbrt.f64 (/.f64 (neg.f64 h) (/.f64 (.f64 a a) h))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 h 4)))) (.f64 (.f64 g g) (fma.f64 (.f64 -4/3 (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18)) (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18) (/.f64 2 (*.f64 a a))))))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 2) (.f64 1 (pow.f64 h 2))) (pow.f64 a 2)) 1/3) (cbrt.f64 1/4)) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 1 (pow.f64 h 5))) (pow.f64 a 14)) 1/9) (.f64 (cbrt.f64 1/4) g))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 4)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 h 4))) 1/3) (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 g 3) (-.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 2) h))) (+.f64 (.f64 8/27 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 5) (.f64 1 (pow.f64 h 5))) (pow.f64 a 14)) 1/3)) (.f64 4/3 (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 (pow.f64 a 8) h))) 1/9) (-.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (.f64 4/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 16) (.f64 1 (pow.f64 h 16))) (pow.f64 a 34)) 1/9))))))))))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 4)) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 h 4))) 1/3) (.f64 (cbrt.f64 1/4) (.f64 (pow.f64 g 2) (-.f64 (.f64 2 (/.f64 1 (pow.f64 a 2))) (.f64 4/3 (pow.f64 (/.f64 (.f64 (pow.f64 (sqrt.f64 -1) 16) (*.f64 1 (pow.f64 h 16))) (pow.f64 a 34)) 1/9))))))))))
(fma.f64 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 2) (/.f64 (.f64 a a) (.f64 h h)))) (cbrt.f64 1/4) (fma.f64 2/3 (.f64 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (/.f64 (pow.f64 a 14) (pow.f64 h 5))) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (/.f64 (pow.f64 a 14) (pow.f64 h 5))) 1/18)) (.f64 (cbrt.f64 1/4) g)) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 h 4)))) (.f64 (.f64 (cbrt.f64 1/4) (pow.f64 g 3)) (-.f64 (/.f64 (/.f64 1 (sqrt.f64 -1)) (.f64 h (.f64 a a))) (fma.f64 8/27 (cbrt.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (/.f64 (pow.f64 a 14) (pow.f64 h 5)))) (.f64 4/3 (.f64 (+.f64 (/.f64 2 (.f64 a a)) (.f64 -4/3 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 16) (/.f64 (pow.f64 a 34) (pow.f64 h 16))) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 16) (/.f64 (pow.f64 a 34) (pow.f64 h 16))) 1/18)))) (.f64 (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 8)))) 1/18) (pow.f64 (/.f64 1 (.f64 (sqrt.f64 -1) (.f64 h (pow.f64 a 8)))) 1/18)))))))) (.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 h 4)))) (.f64 (.f64 (cbrt.f64 1/4) (.f64 g g)) (+.f64 (/.f64 2 (.f64 a a)) (.f64 -4/3 (.f64 (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 16) (/.f64 (pow.f64 a 34) (pow.f64 h 16))) 1/18) (pow.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 16) (/.f64 (pow.f64 a 34) (pow.f64 h 16))) 1/18))))))))))
(fma.f64 (cbrt.f64 (.f64 (/.f64 -1 (.f64 a a)) (.f64 h h))) (cbrt.f64 1/4) (fma.f64 1/3 (.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 h 4)))) (+.f64 (.f64 (pow.f64 g 3) (-.f64 (/.f64 1 (.f64 (.f64 (sqrt.f64 -1) h) (.f64 a a))) (fma.f64 4/3 (.f64 (-.f64 (/.f64 2 (.f64 a a)) (.f64 (.f64 4/3 (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18)) (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18))) (.f64 (pow.f64 (/.f64 1 (.f64 h (.f64 (sqrt.f64 -1) (pow.f64 a 8)))) 1/18) (pow.f64 (/.f64 1 (.f64 h (.f64 (sqrt.f64 -1) (pow.f64 a 8)))) 1/18))) (.f64 8/27 (cbrt.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5))))))) (.f64 (.f64 g g) (-.f64 (/.f64 2 (.f64 a a)) (.f64 (.f64 4/3 (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18)) (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18)))))) (.f64 2/3 (.f64 g (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18) (.f64 (pow.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18) (cbrt.f64 1/4)))))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 h 4)))) (.f64 (.f64 g g) (+.f64 (.f64 g (-.f64 (/.f64 1 (.f64 (.f64 a a) (.f64 h (sqrt.f64 -1)))) (fma.f64 8/27 (cbrt.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5))) (.f64 (.f64 4/3 (fma.f64 (.f64 -4/3 (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18)) (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18) (/.f64 2 (.f64 a a)))) (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 8) (.f64 h (sqrt.f64 -1)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 8) (.f64 h (sqrt.f64 -1)))) 1/18)))))) (fma.f64 (.f64 -4/3 (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18)) (pow.f64 (/.f64 (pow.f64 h 16) (pow.f64 a 34)) 1/18) (/.f64 2 (.f64 a a)))))) (.f64 (cbrt.f64 1/4) (+.f64 (cbrt.f64 (/.f64 (neg.f64 h) (/.f64 (.f64 a a) h))) (.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18) (pow.f64 (*.f64 (/.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 a 14)) (pow.f64 h 5)) 1/18))) g))))
(.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 g 2)) (pow.f64 a 2)) 1/3) (*.f64 (cbrt.f64 1/4) (cbrt.f64 4)))
(.f64 (cbrt.f64 (/.f64 (.f64 g g) (.f64 a a))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)))
(.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 4) (cbrt.f64 (*.f64 (/.f64 g a) (/.f64 g a)))))
(.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 (/.f64 (*.f64 g g) a) a))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 g 2)) (pow.f64 a 2)) 1/3) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 4))) 1/3) (/.f64 (*.f64 (cbrt.f64 1/4) (pow.f64 h 2)) (pow.f64 (cbrt.f64 4) 2)))))
(fma.f64 (cbrt.f64 (/.f64 (.f64 g g) (.f64 a a))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)) (.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 a a) (pow.f64 g 4)))) (/.f64 (cbrt.f64 1/4) (/.f64 (pow.f64 (cbrt.f64 4) 2) (.f64 h h))))))
(fma.f64 (cbrt.f64 (.f64 (/.f64 g a) (/.f64 g a))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)) (.f64 -2/3 (/.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 a) a) (pow.f64 g 4))) (.f64 (.f64 h h) (cbrt.f64 1/4))) (pow.f64 (cbrt.f64 4) 2))))
(fma.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 (/.f64 (.f64 g g) a) a))) (.f64 -2/3 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 (/.f64 1 a) (.f64 a (pow.f64 g 4))))) (/.f64 (pow.f64 (cbrt.f64 4) 2) (.f64 h h)))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 g 2)) (pow.f64 a 2)) 1/3) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 4))) 1/3) (/.f64 (.f64 (cbrt.f64 1/4) (pow.f64 h 2)) (pow.f64 (cbrt.f64 4) 2)))) (.f64 -7/36 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 10))) 1/3) (/.f64 (*.f64 (cbrt.f64 1/4) (pow.f64 h 4)) (pow.f64 (cbrt.f64 4) 2))))))
(fma.f64 (cbrt.f64 (/.f64 (.f64 g g) (.f64 a a))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 a a) (pow.f64 g 4)))) (/.f64 (cbrt.f64 1/4) (/.f64 (pow.f64 (cbrt.f64 4) 2) (.f64 h h)))) (.f64 (.f64 -7/36 (cbrt.f64 (/.f64 1 (.f64 (*.f64 a a) (pow.f64 g 10))))) (/.f64 (cbrt.f64 1/4) (/.f64 (pow.f64 (cbrt.f64 4) 2) (pow.f64 h 4))))))
(fma.f64 (cbrt.f64 (.f64 (/.f64 g a) (/.f64 g a))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)) (fma.f64 -2/3 (/.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 a) a) (pow.f64 g 4))) (.f64 (.f64 h h) (cbrt.f64 1/4))) (pow.f64 (cbrt.f64 4) 2)) (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 a) a) (pow.f64 g 10))) (.f64 (cbrt.f64 1/4) (pow.f64 h 4))) -7/36) (pow.f64 (cbrt.f64 4) 2))))
(fma.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 (/.f64 (.f64 g g) a) a))) (fma.f64 -2/3 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 (/.f64 1 a) (.f64 a (pow.f64 g 4))))) (/.f64 (pow.f64 (cbrt.f64 4) 2) (.f64 h h))) (.f64 (.f64 -7/36 (.f64 (/.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 4) 2)) (pow.f64 h 4))) (cbrt.f64 (/.f64 1 (.f64 (.f64 a a) (pow.f64 g 10)))))))
(+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 g 2)) (pow.f64 a 2)) 1/3) (.f64 (cbrt.f64 1/4) (cbrt.f64 4))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 4)) (pow.f64 g 4)) 1/3) (/.f64 (.f64 (cbrt.f64 1/4) (.f64 (-.f64 (.f64 8/27 (/.f64 1 (.f64 (pow.f64 a 2) (.f64 (pow.f64 g 4) (pow.f64 (cbrt.f64 4) 6))))) (.f64 23/72 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 4))))) (pow.f64 h 6))) (pow.f64 (cbrt.f64 4) 2)))) (+.f64 (.f64 -2/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 4))) 1/3) (/.f64 (.f64 (cbrt.f64 1/4) (pow.f64 h 2)) (pow.f64 (cbrt.f64 4) 2)))) (.f64 -7/36 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 g 10))) 1/3) (/.f64 (*.f64 (cbrt.f64 1/4) (pow.f64 h 4)) (pow.f64 (cbrt.f64 4) 2)))))))
(fma.f64 (cbrt.f64 (/.f64 (.f64 g g) (.f64 a a))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 g 4))) (/.f64 (cbrt.f64 1/4) (/.f64 (pow.f64 (cbrt.f64 4) 2) (.f64 (-.f64 (/.f64 8/27 (.f64 (.f64 (.f64 a a) (pow.f64 g 4)) (pow.f64 (cbrt.f64 4) 6))) (/.f64 23/72 (.f64 (.f64 a a) (pow.f64 g 4)))) (pow.f64 h 6))))) (fma.f64 -2/3 (.f64 (cbrt.f64 (/.f64 1 (.f64 (.f64 a a) (pow.f64 g 4)))) (/.f64 (cbrt.f64 1/4) (/.f64 (pow.f64 (cbrt.f64 4) 2) (.f64 h h)))) (.f64 (.f64 -7/36 (cbrt.f64 (/.f64 1 (.f64 (.f64 a a) (pow.f64 g 10))))) (/.f64 (cbrt.f64 1/4) (/.f64 (pow.f64 (cbrt.f64 4) 2) (pow.f64 h 4)))))))
(fma.f64 (cbrt.f64 (.f64 (/.f64 g a) (/.f64 g a))) (.f64 (cbrt.f64 1/4) (cbrt.f64 4)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 g 4))) (.f64 (/.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 4) 2)) (.f64 (+.f64 (/.f64 8/27 (.f64 (pow.f64 g 4) (.f64 (.f64 a a) 16))) (/.f64 -23/72 (.f64 a (.f64 a (pow.f64 g 4))))) (pow.f64 h 6)))) (fma.f64 -2/3 (/.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 a) a) (pow.f64 g 4))) (.f64 (.f64 h h) (cbrt.f64 1/4))) (pow.f64 (cbrt.f64 4) 2)) (/.f64 (.f64 (.f64 (cbrt.f64 (/.f64 (/.f64 (/.f64 1 a) a) (pow.f64 g 10))) (.f64 (cbrt.f64 1/4) (pow.f64 h 4))) -7/36) (pow.f64 (cbrt.f64 4) 2)))))
(fma.f64 1/3 (.f64 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 (pow.f64 a 4) (pow.f64 g 4)))) (/.f64 (pow.f64 (cbrt.f64 4) 2) (pow.f64 h 6))) (+.f64 (/.f64 (/.f64 1/54 (pow.f64 g 4)) (.f64 a a)) (/.f64 (/.f64 -23/72 a) (.f64 a (pow.f64 g 4))))) (fma.f64 (cbrt.f64 1/4) (.f64 (cbrt.f64 4) (cbrt.f64 (/.f64 (/.f64 (.f64 g g) a) a))) (fma.f64 -2/3 (/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 (/.f64 (/.f64 1 a) (.f64 a (pow.f64 g 4))))) (/.f64 (pow.f64 (cbrt.f64 4) 2) (.f64 h h))) (.f64 (.f64 -7/36 (.f64 (/.f64 (cbrt.f64 1/4) (pow.f64 (cbrt.f64 4) 2)) (pow.f64 h 4))) (cbrt.f64 (/.f64 1 (.f64 (.f64 a a) (pow.f64 g 10))))))))

eval621.0ms (7.1%)

Compiler: Compiled 39087 to 21647 computations (44.6% saved)

prune217.0ms (2.5%)

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	978	24	1002
Fresh	14	18	32
Picked	1	0	1
Done	4	1	5
Total	997	43	1040

Error

8.3b

Counts

1040 → 43

Alt Table

Click to see full alt table

Status	Error	Program
▶	13.6b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
▶	44.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	42.3b	(+.f64 (.f64 (cbrt.f64 (.f64 -2 g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	14.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	46.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (.f64 -1/2 (/.f64 h (/.f64 g h))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	30.5b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	57.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))))
	16.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (fma.f64 (/.f64 -1/2 g) (.f64 h h) g) g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
	51.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2) (/.f64 -1/2 a))))
	38.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 3) 1/3))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	45.0b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g)) (/.f64 -1/2 a))))
	43.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))))
▶	28.9b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
✓	32.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (/.f64 -1/2 a))))
	36.4b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	13.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
	58.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (fma.f64 g g (-.f64 (.f64 g g) (.f64 h h))) (.f64 g (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))))) (+.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) (pow.f64 g 3)))) (/.f64 -1/2 a))))
	45.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (/.f64 a g))))))
	51.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g)) (/.f64 -1/2 a))))
	33.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	38.7b	(+.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (.f64 h h))) 1/2)) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
▶	63.2b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (+.f64 g g) (cbrt.f64 a)))
▶	47.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) (/.f64 -1/2 a))))
	39.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	45.8b	(+.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	49.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (*.f64 g g) 3/2))) (/.f64 -1/2 a))))
	55.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 1/3))
	61.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.f64 -1/2 a))))
	45.2b	(+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) 2))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	37.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	44.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (.f64 -1/2 (.f64 2 (pow.f64 g 3))) (.f64 a (fma.f64 g g 0)))))
	47.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) 3))
	40.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (.f64 h h))) 1/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	62.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	44.3b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
	51.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))) (sqrt.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))) g) (/.f64 -1/2 a))))
	51.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	46.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) g) (/.f64 -1/2 a))))
	60.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
	32.6b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))) 2)) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	44.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))

Compiler

Compiled 2646 to 1722 computations (34.9% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	11.5b	(cbrt.f64 (/.f64 (neg.f64 g) a))
✓	11.5b	(cbrt.f64 (/.f64 (neg.f64 g) a))

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	g	@	0	(cbrt.f64 (/.f64 (neg.f64 g) a))
0.0ms	g	@	inf	(cbrt.f64 (/.f64 (neg.f64 g) a))
0.0ms	a	@	inf	(cbrt.f64 (/.f64 (neg.f64 g) a))
0.0ms	a	@	0	(cbrt.f64 (/.f64 (neg.f64 g) a))
0.0ms	a	@	-inf	(cbrt.f64 (/.f64 (neg.f64 g) a))

rewrite36.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

550×	`pow1_binary64`
512×	`add-log-exp_binary64`
511×	`log1p-expm1-u_binary64`
511×	`expm1-log1p-u_binary64`
499×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	128	6
2	1796	6

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 (neg.f64 g) a))

Outputs

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

26 → 26

Calls

Call 1

Inputs

Outputs

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 a)
	0.2b	(/.f64 (+.f64 g g) (cbrt.f64 a))
✓	0.2b	(/.f64 (+.f64 g g) (cbrt.f64 a))
✓	0.6b	(cbrt.f64 a)

series8.0ms (0.1%)

Counts

2 → 12

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	g	@	0	(/.f64 (+.f64 g g) (cbrt.f64 a))
1.0ms	a	@	-inf	(/.f64 (+.f64 g g) (cbrt.f64 a))
1.0ms	g	@	inf	(/.f64 (+.f64 g g) (cbrt.f64 a))
1.0ms	a	@	0	(/.f64 (+.f64 g g) (cbrt.f64 a))
1.0ms	a	@	inf	(/.f64 (+.f64 g g) (cbrt.f64 a))

rewrite38.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
612×	`add-log-exp_binary64`
611×	`log1p-expm1-u_binary64`
611×	`expm1-log1p-u_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	131	12
2	1994	12

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

Inputs
(cbrt.f64 a)
(/.f64 (+.f64 g g) (cbrt.f64 a))

Outputs

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

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

simplify65.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

818×	`unswap-sqr_binary64`
500×	`sqr-pow_binary64`
281×	`cube-prod_binary64`
271×	`*-commutative_binary64`
251×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	144
1	21	144
2	39	144
3	82	144
4	211	144
5	700	144
6	919	144
7	1245	144
8	2530	144
9	2634	144
10	2796	144
11	3006	144
12	3316	144
13	3747	144
14	4314	144
15	4968	144

Stop Event

1×	node limit

Counts

63 → 53

Calls

Call 1

Inputs
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))

Outputs
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))
(.f64 2 (.f64 (pow.f64 (/.f64 1 a) 1/3) g))
(.f64 2 (.f64 (cbrt.f64 (/.f64 1 a)) g))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 g 2))
(.f64 (cbrt.f64 (/.f64 1 a)) (.f64 2 g))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	11.7b	(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
	1.0b	(cbrt.f64 2)
✓	1.0b	(cbrt.f64 2)
✓	11.7b	(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)

series2.0ms (0%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	g	@	-inf	(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
0.0ms	g	@	0	(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
0.0ms	a	@	-inf	(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
0.0ms	g	@	inf	(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
0.0ms	a	@	inf	(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)

rewrite38.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

761×	`pow1_binary64`
710×	`log1p-expm1-u_binary64`
710×	`expm1-log1p-u_binary64`
83×	`add-sqr-sqrt_binary64`
79×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	203	9
2	1976	9

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(pow.f64 (/.f64 (*.f64 1 g) a) 1/3)
(cbrt.f64 2)

Outputs

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

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

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

40 → 40

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
	0.8b	(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)
	0.5b	(cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	0.1b	(.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) 3)) (/.f64 -1/2 a))
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
✓	8.8b	(cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) 3)) (/.f64 -1/2 a)))
✓	22.3b	(+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3))
	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series52.0ms (0.6%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	h	@	inf	(cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) 3)) (/.f64 -1/2 a)))
7.0ms	h	@	0	(+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3))
7.0ms	h	@	0	(cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) 3)) (/.f64 -1/2 a)))
6.0ms	h	@	-inf	(cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) 3)) (/.f64 -1/2 a)))
4.0ms	h	@	inf	(+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3))

rewrite62.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

281×	`log1p-udef_binary64`
170×	`add-sqr-sqrt_binary64`
163×	`pow1_binary64`
162×	`*-un-lft-identity_binary64`
159×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	38
1	362	38
2	4675	38

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

Inputs
(+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3))
(cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) 3)) (/.f64 -1/2 a)))

Outputs

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

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

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

517×	`fma-def_binary64`
292×	`associate-/l*_binary64`
268×	`times-frac_binary64`
238×	`associate-/r*_binary64`
226×	`*-commutative_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	547	7029
1	1833	6125

Stop Event

1×	node limit

Counts

100 → 134

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(+.f64 (.f64 (sqrt.f64 -1) h) (+.f64 g (.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1) h)) (.f64 -1/6 (*.f64 (/.f64 (sqrt.f64 -1) h) (pow.f64 1 1/3)))) (pow.f64 g 2))))
(+.f64 (.f64 (pow.f64 g 4) (+.f64 (.f64 1/18 (.f64 (/.f64 (sqrt.f64 -1) (pow.f64 h 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -5/72 (.f64 (/.f64 (sqrt.f64 -1) (pow.f64 h 3)) (pow.f64 1 1/3))) (.f64 (pow.f64 -1 1/6) (.f64 (+.f64 (.f64 -5/36 (pow.f64 (/.f64 -1 (pow.f64 h 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 -1 (pow.f64 h 10)) 1/3))) (pow.f64 (.f64 1 h) 1/3)))))) (+.f64 (.f64 (sqrt.f64 -1) h) (+.f64 g (.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1) h)) (.f64 -1/6 (*.f64 (/.f64 (sqrt.f64 -1) h) (pow.f64 1 1/3)))) (pow.f64 g 2)))))
g
(*.f64 2 g)
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 2) g))) (.f64 2 g)))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 -1/12 (pow.f64 h 4)) (.f64 1/72 (pow.f64 h 4))) (pow.f64 g 3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 2) g))) (+.f64 (.f64 2 g) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 g 11)) 1/3) (+.f64 (.f64 1/36 (.f64 (pow.f64 (.f64 1 (pow.f64 g 2)) 1/3) (pow.f64 h 4))) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 g 2)) 1/3) (+.f64 (.f64 -1/12 (pow.f64 h 4)) (.f64 1/72 (pow.f64 h 4))))))))))))
g
(+.f64 (*.f64 -1 g) g)
(+.f64 (.f64 1/3 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) (+.f64 g (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 2) g))))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) (+.f64 (.f64 (pow.f64 (/.f64 -1 (pow.f64 g 11)) 1/3) (+.f64 (.f64 1/36 (.f64 (pow.f64 (.f64 1 (pow.f64 g 2)) 1/3) (pow.f64 h 4))) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 g 2)) 1/3) (+.f64 (.f64 -1/12 (pow.f64 h 4)) (.f64 1/72 (pow.f64 h 4))))))) (+.f64 g (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 -1/12 (pow.f64 h 4)) (.f64 1/72 (pow.f64 h 4))) (pow.f64 g 3)))) (.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 2) g)))))))))
(*.f64 2 g)
(+.f64 (.f64 2 g) (.f64 (-.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 g))) (*.f64 1/3 (/.f64 1 g))) (pow.f64 h 2)))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3))) (pow.f64 (.f64 1 g) 1/3)) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 3)))) (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 3)))))) (pow.f64 h 4)) (+.f64 (.f64 2 g) (.f64 (-.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 g))) (.f64 1/3 (/.f64 1 g))) (pow.f64 h 2))))
(+.f64 (.f64 (+.f64 (.f64 -55/1296 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 5)))) (+.f64 (.f64 (pow.f64 (.f64 1 g) 1/3) (+.f64 (.f64 -55/648 (pow.f64 (/.f64 1 (pow.f64 g 16)) 1/3)) (.f64 5/216 (pow.f64 (/.f64 1 (pow.f64 g 16)) 1/3)))) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 g 5)) 1/3))) (.f64 5/216 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 5))))))) (pow.f64 h 6)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3))) (pow.f64 (.f64 1 g) 1/3)) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 3)))) (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 3)))))) (pow.f64 h 4)) (+.f64 (.f64 2 g) (.f64 (-.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 g))) (*.f64 1/3 (/.f64 1 g))) (pow.f64 h 2)))))
(+.f64 g (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 2))) (+.f64 g (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3) (.f64 -1/6 (/.f64 (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 2))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/72 (pow.f64 g 4)) (.f64 -1/12 (pow.f64 g 4))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 4)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 2))) (+.f64 (.f64 1/18 (/.f64 (.f64 (pow.f64 g 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 4))) (+.f64 g (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3) (+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 2))) (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/72 (pow.f64 g 4)) (.f64 -1/12 (pow.f64 g 4))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2))) (.f64 1/36 (.f64 (pow.f64 g 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)))) (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) (pow.f64 h 4))))))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/72 (pow.f64 g 4)) (.f64 -1/12 (pow.f64 g 4))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2))) (.f64 1/36 (.f64 (pow.f64 g 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)))) (.f64 (pow.f64 g 2) (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))))) (pow.f64 h 6))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (.f64 1/72 (pow.f64 g 4)) (.f64 -1/12 (pow.f64 g 4))) (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3))) (pow.f64 h 6))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/3 (.f64 (+.f64 (.f64 1/72 (pow.f64 g 4)) (.f64 -1/12 (pow.f64 g 4))) (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (+.f64 (.f64 -1/1296 (pow.f64 g 6)) (+.f64 (.f64 1/72 (pow.f64 g 6)) (.f64 -1/18 (pow.f64 g 6))))))) (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) (pow.f64 h 6)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/72 (pow.f64 g 4)) (.f64 -1/12 (pow.f64 g 4))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 4)) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 2))) (+.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3) (+.f64 (.f64 -1/1296 (pow.f64 g 6)) (+.f64 (.f64 1/72 (pow.f64 g 6)) (.f64 -1/18 (pow.f64 g 6))))) (pow.f64 h 6)) (+.f64 (.f64 1/18 (/.f64 (.f64 (pow.f64 g 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 4))) (+.f64 g (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3) (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/72 (pow.f64 g 4)) (.f64 -1/12 (pow.f64 g 4))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2))) (.f64 1/36 (.f64 (pow.f64 g 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)))) (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))) (pow.f64 h 4)) (.f64 -1/6 (/.f64 (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 2)))))))))))))
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(.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 3)) a))) (-.f64 (+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/72 (pow.f64 g 4)) (.f64 -1/12 (pow.f64 g 4))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2))) (.f64 1/36 (.f64 (pow.f64 g 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2)))) (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))))) a) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/72 (pow.f64 g 4)) (.f64 -1/12 (pow.f64 g 4))) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 3)) a) (.f64 1/18 (/.f64 (.f64 (pow.f64 g 4) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 3)) a)))) (.f64 1/3 (/.f64 (.f64 a (pow.f64 (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 3)) a)) (.f64 -1/6 (/.f64 (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 3)) a))) 2)) (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 3) g)))))) (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 3) g)))))) (pow.f64 h 6)) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 3) g) 2)) 1/3))))))

Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (*.f64 (sqrt.f64 -1) h) g)
(fma.f64 (sqrt.f64 -1) h g)
(+.f64 (.f64 (sqrt.f64 -1) h) (+.f64 g (.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1) h)) (.f64 -1/6 (*.f64 (/.f64 (sqrt.f64 -1) h) (pow.f64 1 1/3)))) (pow.f64 g 2))))
(+.f64 (fma.f64 (sqrt.f64 -1) h g) (.f64 (fma.f64 -1/3 (/.f64 (sqrt.f64 -1) h) (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 -1) 1) h))) (.f64 g g)))
(fma.f64 (sqrt.f64 -1) h (fma.f64 (fma.f64 -1/3 (/.f64 (sqrt.f64 -1) h) (/.f64 (.f64 (sqrt.f64 -1) -1/6) h)) (.f64 g g) g))
(+.f64 (.f64 (pow.f64 g 4) (+.f64 (.f64 1/18 (.f64 (/.f64 (sqrt.f64 -1) (pow.f64 h 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -5/72 (.f64 (/.f64 (sqrt.f64 -1) (pow.f64 h 3)) (pow.f64 1 1/3))) (.f64 (pow.f64 -1 1/6) (.f64 (+.f64 (.f64 -5/36 (pow.f64 (/.f64 -1 (pow.f64 h 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 -1 (pow.f64 h 10)) 1/3))) (pow.f64 (.f64 1 h) 1/3)))))) (+.f64 (.f64 (sqrt.f64 -1) h) (+.f64 g (.f64 (+.f64 (.f64 -1/3 (/.f64 (sqrt.f64 -1) h)) (.f64 -1/6 (*.f64 (/.f64 (sqrt.f64 -1) h) (pow.f64 1 1/3)))) (pow.f64 g 2)))))
(fma.f64 (pow.f64 g 4) (fma.f64 1/18 (.f64 1 (/.f64 (sqrt.f64 -1) (pow.f64 h 3))) (fma.f64 -5/72 (.f64 1 (/.f64 (sqrt.f64 -1) (pow.f64 h 3))) (.f64 (pow.f64 -1 1/6) (.f64 (.f64 (cbrt.f64 (/.f64 -1 (pow.f64 h 10))) -1/9) (cbrt.f64 h))))) (+.f64 (fma.f64 (sqrt.f64 -1) h g) (.f64 (fma.f64 -1/3 (/.f64 (sqrt.f64 -1) h) (.f64 -1/6 (/.f64 (.f64 (sqrt.f64 -1) 1) h))) (*.f64 g g))))
(fma.f64 (pow.f64 g 4) (+.f64 (.f64 (/.f64 (sqrt.f64 -1) (pow.f64 h 3)) -1/72) (.f64 (.f64 (pow.f64 -1 1/6) (.f64 (cbrt.f64 (/.f64 -1 (pow.f64 h 10))) -1/9)) (cbrt.f64 h))) (fma.f64 (sqrt.f64 -1) h (fma.f64 (fma.f64 -1/3 (/.f64 (sqrt.f64 -1) h) (/.f64 (.f64 (sqrt.f64 -1) -1/6) h)) (.f64 g g) g)))
g
(*.f64 2 g)
(*.f64 g 2)
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 2) g))) (.f64 2 g)))
(fma.f64 -1/3 (/.f64 (.f64 h h) g) (+.f64 (.f64 g 2) (.f64 -1/6 (/.f64 (.f64 h h) g))))
(+.f64 (.f64 (/.f64 h (/.f64 g h)) -1/2) (.f64 g 2))
(+.f64 (.f64 -1/3 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 -1/12 (pow.f64 h 4)) (.f64 1/72 (pow.f64 h 4))) (pow.f64 g 3))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 2) g))) (+.f64 (.f64 2 g) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) (.f64 (pow.f64 (/.f64 1 (pow.f64 g 11)) 1/3) (+.f64 (.f64 1/36 (.f64 (pow.f64 (.f64 1 (pow.f64 g 2)) 1/3) (pow.f64 h 4))) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 g 2)) 1/3) (+.f64 (.f64 -1/12 (pow.f64 h 4)) (.f64 1/72 (pow.f64 h 4))))))))))))
(fma.f64 -1/3 (/.f64 (.f64 h h) g) (fma.f64 1 (/.f64 (.f64 (pow.f64 h 4) -5/72) (pow.f64 g 3)) (+.f64 (.f64 -1/6 (/.f64 (.f64 h h) g)) (fma.f64 2 g (+.f64 (.f64 1/18 (/.f64 (pow.f64 h 4) (pow.f64 g 3))) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 g 11))) (fma.f64 1/36 (.f64 (pow.f64 h 4) (cbrt.f64 (.f64 g g))) (.f64 2 (.f64 (.f64 (pow.f64 h 4) -5/72) (cbrt.f64 (.f64 g g)))))))))))
(+.f64 (fma.f64 -1/3 (/.f64 h (/.f64 g h)) (/.f64 (pow.f64 h 4) (/.f64 (pow.f64 g 3) -5/72))) (fma.f64 -1/6 (/.f64 h (/.f64 g h)) (fma.f64 g 2 (fma.f64 (cbrt.f64 (/.f64 1 (pow.f64 g 11))) (fma.f64 2 (.f64 (.f64 (pow.f64 h 4) -5/72) (cbrt.f64 (.f64 g g))) (.f64 1/36 (.f64 (pow.f64 h 4) (cbrt.f64 (.f64 g g))))) (/.f64 (*.f64 (pow.f64 h 4) 1/18) (pow.f64 g 3))))))
g
(+.f64 (*.f64 -1 g) g)
(*.f64 0 g)
0
(+.f64 (.f64 1/3 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) (+.f64 g (.f64 1/6 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 2) g))))))
(fma.f64 1/3 (/.f64 (.f64 h h) g) (+.f64 (.f64 0 g) (.f64 1/6 (/.f64 (.f64 h h) g))))
(fma.f64 1/3 (/.f64 h (/.f64 g h)) (+.f64 0 (*.f64 1/6 (/.f64 h (/.f64 g h)))))
(+.f64 (.f64 -1/18 (.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) (+.f64 (.f64 (pow.f64 (/.f64 -1 (pow.f64 g 11)) 1/3) (+.f64 (.f64 1/36 (.f64 (pow.f64 (.f64 1 (pow.f64 g 2)) 1/3) (pow.f64 h 4))) (.f64 2 (.f64 (pow.f64 (.f64 1 (pow.f64 g 2)) 1/3) (+.f64 (.f64 -1/12 (pow.f64 h 4)) (.f64 1/72 (pow.f64 h 4))))))) (+.f64 g (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (+.f64 (.f64 -1/12 (pow.f64 h 4)) (.f64 1/72 (pow.f64 h 4))) (pow.f64 g 3)))) (.f64 1/6 (*.f64 (pow.f64 1 1/3) (/.f64 (pow.f64 h 2) g)))))))))
(+.f64 (.f64 -1/18 (/.f64 (pow.f64 h 4) (pow.f64 g 3))) (fma.f64 1/3 (/.f64 (.f64 h h) g) (fma.f64 -1 g (fma.f64 (cbrt.f64 (/.f64 -1 (pow.f64 g 11))) (fma.f64 1/36 (.f64 (pow.f64 h 4) (cbrt.f64 (.f64 g g))) (.f64 2 (.f64 (.f64 (pow.f64 h 4) -5/72) (cbrt.f64 (.f64 g g))))) (+.f64 g (+.f64 (.f64 1/6 (/.f64 (.f64 h h) g)) (.f64 -1 (/.f64 (.f64 (pow.f64 h 4) -5/72) (pow.f64 g 3)))))))))
(fma.f64 (/.f64 (pow.f64 h 4) (pow.f64 g 3)) -1/18 (fma.f64 1/3 (/.f64 h (/.f64 g h)) (-.f64 (+.f64 (fma.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 h 4) -5/72) (cbrt.f64 (.f64 g g))) (.f64 1/36 (.f64 (pow.f64 h 4) (cbrt.f64 (.f64 g g))))) (cbrt.f64 (/.f64 -1 (pow.f64 g 11))) g) (-.f64 (*.f64 1/6 (/.f64 h (/.f64 g h))) (/.f64 (pow.f64 h 4) (/.f64 (pow.f64 g 3) -5/72)))) g)))
(*.f64 2 g)
(*.f64 g 2)
(+.f64 (.f64 2 g) (.f64 (-.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 g))) (*.f64 1/3 (/.f64 1 g))) (pow.f64 h 2)))
(fma.f64 2 g (.f64 (.f64 h h) (-.f64 (*.f64 -1/6 (/.f64 1 g)) (/.f64 1/3 g))))
(fma.f64 (.f64 h h) (.f64 (/.f64 1 g) -1/2) (*.f64 g 2))
(+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3))) (pow.f64 (.f64 1 g) 1/3)) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 3)))) (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 3)))))) (pow.f64 h 4)) (+.f64 (.f64 2 g) (.f64 (-.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 g))) (.f64 1/3 (/.f64 1 g))) (pow.f64 h 2))))
(fma.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 g 10))) -1/9) (cbrt.f64 g) (.f64 (/.f64 1 (pow.f64 g 3)) -1/72)) (pow.f64 h 4) (fma.f64 2 g (.f64 (.f64 h h) (-.f64 (*.f64 -1/6 (/.f64 1 g)) (/.f64 1/3 g)))))
(fma.f64 (pow.f64 h 4) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 g 10))) -1/9) (cbrt.f64 g) (/.f64 -1/72 (pow.f64 g 3))) (fma.f64 (.f64 h h) (.f64 (/.f64 1 g) -1/2) (.f64 g 2)))
(+.f64 (.f64 (+.f64 (.f64 -55/1296 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 5)))) (+.f64 (.f64 (pow.f64 (.f64 1 g) 1/3) (+.f64 (.f64 -55/648 (pow.f64 (/.f64 1 (pow.f64 g 16)) 1/3)) (.f64 5/216 (pow.f64 (/.f64 1 (pow.f64 g 16)) 1/3)))) (+.f64 (.f64 -1/6 (.f64 (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3))) (pow.f64 (/.f64 1 (pow.f64 g 5)) 1/3))) (.f64 5/216 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 5))))))) (pow.f64 h 6)) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 -5/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3)) (.f64 1/36 (pow.f64 (/.f64 1 (pow.f64 g 10)) 1/3))) (pow.f64 (.f64 1 g) 1/3)) (+.f64 (.f64 1/18 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 3)))) (.f64 -5/72 (.f64 (pow.f64 1 1/3) (/.f64 1 (pow.f64 g 3)))))) (pow.f64 h 4)) (+.f64 (.f64 2 g) (.f64 (-.f64 (.f64 -1/6 (.f64 (pow.f64 1 1/3) (/.f64 1 g))) (*.f64 1/3 (/.f64 1 g))) (pow.f64 h 2)))))
(fma.f64 (fma.f64 -55/1296 (/.f64 1 (pow.f64 g 5)) (fma.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 g 16))) -5/81) (fma.f64 -1/6 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 g 10))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 g 5)))) (.f64 (/.f64 1 (pow.f64 g 5)) 5/216)))) (pow.f64 h 6) (fma.f64 (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 g 10))) -1/9) (cbrt.f64 g) (.f64 (/.f64 1 (pow.f64 g 3)) -1/72)) (pow.f64 h 4) (fma.f64 2 g (.f64 (.f64 h h) (-.f64 (*.f64 -1/6 (/.f64 1 g)) (/.f64 1/3 g))))))
(fma.f64 (+.f64 (/.f64 -55/1296 (pow.f64 g 5)) (fma.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 1 (pow.f64 g 16))) -5/81) (fma.f64 -1/6 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 g 10))) -1/9) (cbrt.f64 (/.f64 1 (pow.f64 g 5)))) (/.f64 5/216 (pow.f64 g 5))))) (pow.f64 h 6) (fma.f64 (pow.f64 h 4) (fma.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 g 10))) -1/9) (cbrt.f64 g) (/.f64 -1/72 (pow.f64 g 3))) (fma.f64 (.f64 h h) (.f64 (/.f64 1 g) -1/2) (*.f64 g 2))))
(+.f64 g (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3))
(+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 h)) (log.f64 -1))) 3))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 2))) (+.f64 g (+.f64 (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3) (.f64 -1/6 (/.f64 (.f64 (pow.f64 g 2) (pow.f64 (exp.f64 (.f64 1/6 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 3)) (pow.f64 h 2))))))
(fma.f64 -1/3 (/.f64 (.f64 g g) (/.f64 (.f64 h h) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 h)) (log.f64 -1))) 3))) (+.f64 g (+.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 h)) (log.f64 -1))) 3) (.f64 -1/6 (/.f64 (.f64 g g) (/.f64 (*.f64 h h) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (neg.f64 (log.f64 h)) (log.f64 -1))) 3)))))))
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(fma.f64 (cbrt.f64 (/.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3)) a)) (cbrt.f64 -1/2) (fma.f64 1/3 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (.f64 (/.f64 (.f64 g g) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3))) -1/2)) (.f64 h h)) (cbrt.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3)) 2)))) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3)) 2))) (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 h 4) (+.f64 (/.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 g 4) -5/72) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 2)) (.f64 (.f64 1/36 (pow.f64 g 4)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 2))) (/.f64 a (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))))) (-.f64 (+.f64 (/.f64 (.f64 (.f64 (pow.f64 g 4) -5/72) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3)) a) (.f64 1/18 (/.f64 (pow.f64 g 4) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3))))) (.f64 1/3 (/.f64 a (/.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3)) (pow.f64 (.f64 (/.f64 (.f64 g g) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3))) -1/2) 2))))))))) (.f64 (cbrt.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3)) 2))) (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 h 6) (-.f64 (fma.f64 -1/3 (/.f64 (.f64 (pow.f64 g 4) -5/72) (/.f64 a (.f64 (.f64 g g) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3)))) (fma.f64 -1/6 (/.f64 (.f64 (.f64 g g) (.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) (fma.f64 2 (.f64 (.f64 (pow.f64 g 4) -5/72) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 2)) (.f64 (.f64 1/36 (pow.f64 g 4)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 2))))) a) (+.f64 (/.f64 (fma.f64 -1/1296 (pow.f64 g 6) (.f64 (pow.f64 g 6) -1/24)) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3))) (/.f64 (fma.f64 -1/3 (.f64 (.f64 (pow.f64 g 4) -5/72) (.f64 (.f64 g g) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 2))) (.f64 2 (.f64 (fma.f64 -1/1296 (pow.f64 g 6) (.f64 (pow.f64 g 6) -1/24)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 2)))) (/.f64 a (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))))))) (fma.f64 1/27 (/.f64 (.f64 (.f64 a a) (pow.f64 (.f64 (/.f64 (.f64 g g) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3))) -1/2) 3)) (pow.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3)) 2)) (.f64 2/3 (/.f64 (.f64 (.f64 a (.f64 (/.f64 (.f64 g g) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3))) -1/2)) (+.f64 (/.f64 (fma.f64 2 (.f64 (.f64 (pow.f64 g 4) -5/72) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 2)) (.f64 (.f64 1/36 (pow.f64 g 4)) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 2))) (/.f64 a (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))))) (-.f64 (+.f64 (/.f64 (.f64 (.f64 (pow.f64 g 4) -5/72) (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3)) a) (.f64 1/18 (/.f64 (pow.f64 g 4) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3))))) (.f64 1/3 (/.f64 a (/.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3)) (pow.f64 (.f64 (/.f64 (.f64 g g) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))) 3))) -1/2) 2))))))) (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (+.f64 (log.f64 -1) (*.f64 -2 (log.f64 (/.f64 -1 h))))) 3)))))))))))))
(fma.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3)) a)) (.f64 1/3 (+.f64 (.f64 (cbrt.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3)) 2) a))) (+.f64 (.f64 (/.f64 (cbrt.f64 -1/2) h) (/.f64 (/.f64 (.f64 (.f64 g g) -1/2) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3))) h)) (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 h 4)) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (+.f64 (.f64 2 (.f64 (pow.f64 g 4) -5/72)) (.f64 1/36 (pow.f64 g 4)))) a) (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))) (-.f64 (fma.f64 1/18 (.f64 (/.f64 (pow.f64 g 4) a) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3)) (.f64 (/.f64 (.f64 (pow.f64 g 4) -5/72) a) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3))) (/.f64 (.f64 (.f64 a (pow.f64 (/.f64 (.f64 (.f64 g g) -1/2) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3))) 2)) 1/3) (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3)))))))) (.f64 (cbrt.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3)) 2) a))) (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 h 6)) (-.f64 (fma.f64 -1/3 (.f64 (/.f64 (.f64 (pow.f64 g 4) -5/72) a) (.f64 (.f64 g g) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3))) (+.f64 (fma.f64 -1/6 (/.f64 (.f64 g g) (/.f64 (/.f64 a (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))) (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (+.f64 (.f64 2 (.f64 (pow.f64 g 4) -5/72)) (.f64 1/36 (pow.f64 g 4)))))) (.f64 (/.f64 (.f64 (pow.f64 g 6) -55/1296) a) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3))) (.f64 (/.f64 (fma.f64 -1/3 (.f64 (.f64 (.f64 (pow.f64 g 4) -5/72) (.f64 g g)) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2)) (.f64 2 (.f64 (.f64 (pow.f64 g 6) -55/1296) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2)))) a) (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))))) (fma.f64 2/3 (.f64 a (/.f64 (.f64 (/.f64 (.f64 (.f64 g g) -1/2) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3))) (+.f64 (.f64 (/.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (+.f64 (.f64 2 (.f64 (pow.f64 g 4) -5/72)) (.f64 1/36 (pow.f64 g 4)))) a) (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))) (-.f64 (fma.f64 1/18 (.f64 (/.f64 (pow.f64 g 4) a) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3)) (.f64 (/.f64 (.f64 (pow.f64 g 4) -5/72) a) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3))) (/.f64 (.f64 (.f64 a (pow.f64 (/.f64 (.f64 (.f64 g g) -1/2) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3))) 2)) 1/3) (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3)))))) (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3)))) (.f64 1/27 (.f64 (/.f64 a (/.f64 (pow.f64 (+.f64 g (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3)) 2) a)) (.f64 (pow.f64 (.f64 (/.f64 (.f64 g g) a) (pow.f64 (pow.f64 (exp.f64 1/6) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 3)) 3) -1/8))))))))))

localize17.0ms (0.2%)

Local error

Found 8 expressions with local error:

New	Error	Program
	0.3b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2))
	0.2b	(/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a))
	0.2b	(.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a)))
	0.0b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	1.6b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	2.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	3.8b	(-.f64 (.f64 g g) (.f64 h h))
	26.3b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

rewrite0.0ms (0%)

Counts: 0 → 0

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

0 → 0

Calls

Call 1

Inputs

Outputs

eval561.0ms (6.4%)

Compiler: Compiled 36657 to 20998 computations (42.7% saved)

prune160.0ms (1.8%)

Pruning

43 alts after pruning (40 fresh and 3 done)

	Pruned	Kept	Total
New	775	25	800
Fresh	22	15	37
Picked	1	0	1
Done	2	3	5
Total	800	43	843

Error

0.8b

Counts

843 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	14.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
✓	44.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	42.4b	(+.f64 (.f64 (cbrt.f64 (.f64 -2 g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
✓	13.6b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
	42.3b	(+.f64 (.f64 (cbrt.f64 (.f64 -2 g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	44.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3))))
	46.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (.f64 -1/2 (/.f64 h (/.f64 g h))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	13.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 g) 3)) (/.f64 -1/2 a))))
	3.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	16.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (fma.f64 (/.f64 -1/2 g) (.f64 h h) g) g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
	44.2b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) -1/2)) (cbrt.f64 a)))
	13.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (/.f64 1 (cbrt.f64 (/.f64 a g))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	45.0b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g)) (/.f64 -1/2 a))))
	51.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (/.f64 1 (/.f64 (fma.f64 g g (-.f64 (-.f64 (.f64 g g) (.f64 h h)) (.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (+.f64 (pow.f64 g 3) (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2)))) (/.f64 -1/2 a))))
	36.4b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
✓	32.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	13.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
	16.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 g a)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 g a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	44.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	62.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 0 (/.f64 -1/2 a))))
	44.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (.f64 (pow.f64 (/.f64 g a) 1/6) (pow.f64 (/.f64 g a) 1/6)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	51.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g)) (/.f64 -1/2 a))))
	36.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (.f64 (cbrt.f64 g) (pow.f64 (pow.f64 a -1) 1/3)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	45.0b	(+.f64 (.f64 (cbrt.f64 (.f64 -1/2 (.f64 (/.f64 h g) h))) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	46.9b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) -1/2)) (cbrt.f64 a)))
	3.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (pow.f64 a -1))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	43.3b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (*.f64 g 2) -1/2)) (cbrt.f64 a)))
	45.8b	(+.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	47.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) 3))
	61.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.f64 -1/2 a))))
	45.2b	(+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) 2))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	28.9b	(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (*.f64 (+.f64 g h) (-.f64 g h)))) -1/2)) (cbrt.f64 a)))
	37.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) 3)) (/.f64 -1/2 a))))
	55.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 1/3))
	44.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (.f64 -1/2 (.f64 2 (pow.f64 g 3))) (.f64 a (fma.f64 g g 0)))))
	40.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (.f64 h h))) 1/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	13.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (cbrt.f64 (/.f64 g a)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	60.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
	32.6b	(+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))) 2)) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	52.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 g (/.f64 -1/2 a))))
	46.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	14.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g a)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	2.9b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))

Compiler

Compiled 1231 to 866 computations (29.7% saved)

regimes388.0ms (4.4%)

Counts

105 → 1

Calls

Call 1

Inputs
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 0 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 g (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (+.f64 g g) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g))) (/.f64 (+.f64 g g) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 1/3))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (fma.f64 (/.f64 -1/2 g) (.f64 h h) g) g))) (cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 1/3))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (.f64 -1/2 (/.f64 h (/.f64 g h))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (cbrt.f64 (/.f64 g a)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 g) 3)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (/.f64 1 (cbrt.f64 (/.f64 a g))) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (*.f64 g g) 3/2))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (.f64 -1/2 (.f64 2 (pow.f64 g 3))) (.f64 a (fma.f64 g g 0)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (/.f64 -1/2 a))))
(+.f64 (.f64 (cbrt.f64 (.f64 -2 g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (/.f64 (.f64 (.f64 1/2 h) h) g) g)) (/.f64 -1/2 a))))
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(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 a)) (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
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(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (*.f64 g 2) -1/2)) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) 3))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (/.f64 a g))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) -1/2)) (cbrt.f64 a)))
(+.f64 (.f64 (cbrt.f64 (.f64 -1/2 (.f64 (/.f64 h g) h))) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))) (cbrt.f64 (/.f64 -1/2 a))))
(+.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 1/2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
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(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (.f64 h h))) 1/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (.f64 h h))) 1/2)) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (pow.f64 a -1))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (.f64 (cbrt.f64 g) (pow.f64 (pow.f64 a -1) 1/3)) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) 3)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))))
(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (*.f64 (+.f64 g h) (-.f64 g h)))) -1/2)) (cbrt.f64 a)))
(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (exp.f64 (log.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) 2))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) 3))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)))) 3) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (pow.f64 (pow.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) 3) 1/3))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (.f64 (cbrt.f64 (-.f64 (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (.f64 h h))) 1/2)) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (/.f64 1 (/.f64 (fma.f64 g g (-.f64 (-.f64 (.f64 g g) (.f64 h h)) (.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (+.f64 (pow.f64 g 3) (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2)))) (/.f64 -1/2 a))))
(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)) (cbrt.f64 (/.f64 1/2 a))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h)))) -1/2)) (cbrt.f64 a)))
(+.f64 (.f64 (cbrt.f64 (-.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3)) g)) (cbrt.f64 (/.f64 1/2 a))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (/.f64 1 (/.f64 (-.f64 (fma.f64 g g (-.f64 (.f64 g g) (.f64 h h))) (.f64 g (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))))) (+.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) (pow.f64 g 3)))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 g a)) 2)) (cbrt.f64 (cbrt.f64 (/.f64 g a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 g a)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 g a)))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (fma.f64 (sqrt.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))) (sqrt.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))) g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2)))))
(+.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))) 2)) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))) 2) 1/3) (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))

Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))

Results

Time	Error	Segments	Branch
50.0ms	2.9b	1	`g`
50.0ms	2.9b	1	`h`
50.0ms	2.9b	1	`a`
42.0ms	2.9b	1	`(+.f64 (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (+.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) (cbrt.f64 (.f64 (/.f64 1 (.f64 2 a)) (-.f64 (neg.f64 g) (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))`
50.0ms	2.9b	1	`(/.f64 1 (*.f64 2 a))`
50.0ms	2.9b	1	`(*.f64 2 a)`
29.0ms	2.9b	1	`(*.f64 h h)`

Compiler

Compiled 3035 to 1387 computations (54.3% saved)

regimes26.0ms (0.3%)

Counts

9 → 1

Calls

Call 1

Inputs
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 0 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 g (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (+.f64 g g) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.f64 -1/2 a))))

Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))

Results

Time	Error	Segments	Branch
6.0ms	13.6b	1	`g`
6.0ms	13.6b	1	`h`
6.0ms	13.6b	1	`a`
5.0ms	13.6b	1	`(*.f64 h h)`

Compiler

Compiled 160 to 107 computations (33.1% saved)

regimes12.0ms (0.1%)

Accuracy

Total -9.6b remaining (-18.2%)

Threshold costs -9.6b (-18.2%)

Counts

2 → 1

Calls

Call 1

Inputs
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 0 (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 g (/.f64 -1/2 a))))

Outputs
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 g (/.f64 -1/2 a))))

Results

Time	Error	Segments	Branch
3.0ms	52.7b	1	`g`
3.0ms	52.7b	1	`h`
3.0ms	52.7b	1	`a`

Compiler

Compiled 41 to 33 computations (19.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
7×	`*-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	86
1	44	86
2	51	86
3	55	86
4	56	86

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 g (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 0 (/.f64 -1/2 a))))

Outputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 g (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 0 (/.f64 -1/2 a))))

end42.0ms (0.5%)

Stop Event

1×

fuel

Compiler

Compiled 125 to 94 computations (24.8% saved)