Details

analyze309.0ms (3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	81.1%	0.1%	0%	18.7%	0%	6
0%	0%	81.1%	0.1%	0%	18.7%	0%	7
12%	9.4%	68.6%	0.1%	0%	21.8%	0%	8
20.9%	14%	53%	0.1%	0%	32.8%	0%	9
24.4%	16.4%	50.7%	0.1%	0%	32.8%	0%	10
38%	24.6%	40.2%	0.1%	0%	35.1%	0%	11
48.7%	28.7%	30.2%	0.1%	0%	41%	0%	12

Compiler

Compiled 41 to 24 computations (41.5% saved)

sample2.0s (19.3%)

Results

1.7s	8256×	body	256	valid
269.0ms	1468×	body	256	invalid

Bogosity

preprocess68.0ms (0.7%)

Algorithm

2×	egg-herbie

Rules

632×	`associate-/l*_binary64`
519×	`fma-neg_binary64`
473×	`associate-/r*_binary64`
432×	`div-sub_binary64`
371×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	208
1	165	200
2	545	200
3	1766	192
4	5046	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 (fma.f64 g g (.f64 h (neg.f64 h)))) g))) (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) (sqrt.f64 (fma.f64 g g (.f64 h (neg.f64 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 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 g g (.f64 a (neg.f64 a)))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (fma.f64 g g (.f64 a (neg.f64 a))))) (/.f64 -1/2 h))))

Compiler

Compiled 43 to 26 computations (39.5% saved)

simplify122.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

729×	`fma-neg_binary64`
529×	`unsub-neg_binary64`
480×	`div-sub_binary64`
394×	`times-frac_binary64`
355×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	54	50
2	154	50
3	479	48
4	1288	48
5	2645	48
6	3919	48
7	5301	48
8	6121	48
9	6715	48
10	7789	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

35.4b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	35.4b	(+.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)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.0b	(-.f64 (.f64 g g) (.f64 h h))
✓	8.3b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
✓	9.8b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
✓	28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 144 to 38 computations (73.6% saved)

series36.0ms (0.3%)

Counts

4 → 60

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	h	@	0	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
3.0ms	h	@	0	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
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)))
2.0ms	g	@	0	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))

rewrite98.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

507×	`fma-neg_binary64`
325×	`expm1-udef_binary64`
325×	`log1p-udef_binary64`
275×	`log-pow_binary64`
205×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	408	68
2	5919	65

Stop Event

1×	node limit

Counts

4 → 160

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

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

944×	`fma-def_binary64`
625×	`associate-/l*_binary64`
365×	`unswap-sqr_binary64`
290×	`associate-*l/_binary64`
257×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2389
1	635	2172
2	2372	2125
3	6669	2125

Stop Event

1×	node limit

Counts

220 → 220

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

eval192.0ms (1.9%)

Compiler: Compiled 15405 to 6917 computations (55.1% saved)

prune89.0ms (0.9%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	347	21	368
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	347	22	369

Error

33.0b

Counts

369 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	47.0b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
▶	48.8b	(+.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))))
	39.6b	(+.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 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (.f64 (cbrt.f64 g) g) (.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))
	47.3b	(+.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 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
▶	38.7b	(+.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))))
	46.6b	(+.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))))
▶	49.4b	(+.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))))
	48.1b	(+.f64 (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) a))) 1) (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 (cbrt.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
▶	53.3b	(+.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))))
	48.8b	(+.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))))
	47.3b	(+.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))))
	51.4b	(+.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 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3)) (/.f64 -1/2 a))))
	43.2b	(+.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))))
	45.7b	(+.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))))
	46.9b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
✓	35.4b	(+.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))))
▶	51.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	41.0b	(+.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 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (/.f64 -1/2 a))))
	47.5b	(+.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)))))
	45.9b	(+.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))))
	52.2b	(+.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 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))

Compiler

Compiled 1462 to 950 computations (35% saved)

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	13.2b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 1/4) 2) g)))
✓	17.1b	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g)
	28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
✓	29.4b	(pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4)

Compiler

Compiled 178 to 65 computations (63.5% saved)

series44.0ms (0.4%)

Counts

3 → 60

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	h	@	inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 1/4) 2) g)))
4.0ms	g	@	inf	(pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4)
3.0ms	h	@	-inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 1/4) 2) g)))
3.0ms	h	@	0	(pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4)
3.0ms	a	@	inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 1/4) 2) g)))

rewrite100.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`log-prod_binary64`
736×	`fma-def_binary64`
323×	`fma-neg_binary64`
292×	`expm1-udef_binary64`
292×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	366	51
2	4827	49

Stop Event

1×	node limit

Counts

3 → 157

Calls

Call 1

Inputs
(pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4)
(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g)
(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 1/4) 2) g)))

Inputs

(pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4)

(-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g)

(cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 g g) (*.f64 h h)) 1/4) 2) g)))

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

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

simplify129.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

722×	`distribute-rgt-in_binary64`
436×	`fma-def_binary64`
407×	`associate-r_binary64`
309×	`*-commutative_binary64`
305×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	450	5373
1	1508	4929
2	5889	4422

Stop Event

1×	node limit

Counts

217 → 268

Calls

Call 1

Inputs
(*.f64 (pow.f64 -1 1/4) (sqrt.f64 h))
(+.f64 (.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (.f64 -1/4 (.f64 (pow.f64 -1 1/4) (.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))
(+.f64 (.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (+.f64 (.f64 -3/32 (.f64 (pow.f64 -1 1/4) (.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))))) (.f64 -1/4 (.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3))))))))
(+.f64 (.f64 -7/128 (.f64 (pow.f64 -1 1/4) (.f64 (pow.f64 g 6) (sqrt.f64 (/.f64 1 (pow.f64 h 11)))))) (+.f64 (.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (+.f64 (.f64 -3/32 (.f64 (pow.f64 -1 1/4) (.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))))) (.f64 -1/4 (.f64 (pow.f64 -1 1/4) (.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))))
(sqrt.f64 g)
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (sqrt.f64 g))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (+.f64 (.f64 1/32 (pow.f64 h 4)) (.f64 -1/8 (pow.f64 h 4)))) (+.f64 (.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (sqrt.f64 g)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (+.f64 (.f64 1/32 (pow.f64 h 4)) (.f64 -1/8 (pow.f64 h 4)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (+.f64 (.f64 (+.f64 (.f64 1/32 (pow.f64 h 6)) (+.f64 (.f64 -1/12 (pow.f64 h 6)) (*.f64 -1/384 (pow.f64 h 6)))) (sqrt.f64 (/.f64 1 (pow.f64 g 11)))) (sqrt.f64 g))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 g))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 g)) (.f64 -1/4 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 h 2)) (sqrt.f64 (/.f64 1 (pow.f64 g 3))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 g)) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 1/32 (pow.f64 h 4)) (.f64 -1/8 (pow.f64 h 4)))) (sqrt.f64 (/.f64 1 (pow.f64 g 7)))) (.f64 -1/4 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 h 2)) (sqrt.f64 (/.f64 1 (pow.f64 g 3)))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 g)) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 1/32 (pow.f64 h 4)) (.f64 -1/8 (pow.f64 h 4)))) (sqrt.f64 (/.f64 1 (pow.f64 g 7)))) (+.f64 (.f64 -1/4 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 h 2)) (sqrt.f64 (/.f64 1 (pow.f64 g 3))))) (.f64 (.f64 (+.f64 (.f64 1/32 (pow.f64 h 6)) (+.f64 (.f64 -1/12 (pow.f64 h 6)) (*.f64 -1/384 (pow.f64 h 6)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 g 11)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 g))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2)))) (.f64 (pow.f64 1 1/4) (sqrt.f64 g)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2)))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 g))))
(+.f64 (.f64 -7/128 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 11))) (pow.f64 h 6)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2)))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)))) (.f64 (pow.f64 1 1/4) (sqrt.f64 g)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (pow.f64 g 2)) (pow.f64 h 2))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (.f64 1/32 (pow.f64 g 4)) (.f64 -1/8 (pow.f64 g 4)))) (pow.f64 h 4)) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (pow.f64 g 2)) (pow.f64 h 2)))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (.f64 1/32 (pow.f64 g 6)) (+.f64 (.f64 -1/384 (pow.f64 g 6)) (.f64 -1/12 (pow.f64 g 6))))) (pow.f64 h 6)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (+.f64 (.f64 1/32 (pow.f64 g 4)) (.f64 -1/8 (pow.f64 g 4)))) (pow.f64 h 4)) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (*.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (pow.f64 g 2)) (pow.f64 h 2))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 2)) (pow.f64 h 2))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 2)) (pow.f64 h 2))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4)))) (pow.f64 h 4))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (pow.f64 g 2)) (pow.f64 h 2))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (.f64 1/32 (pow.f64 g 6)) (+.f64 (.f64 -1/384 (pow.f64 g 6)) (.f64 -1/12 (pow.f64 g 6))))) (pow.f64 h 6)) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) (+.f64 (.f64 1/32 (pow.f64 g 4)) (*.f64 -1/8 (pow.f64 g 4)))) (pow.f64 h 4)))))
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 -1) (pow.f64 g 2)) h)) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 -1 g)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (sqrt.f64 -1) (pow.f64 g 2)) h)) (+.f64 (.f64 (sqrt.f64 -1) h) (+.f64 (.f64 -1 g) (.f64 (pow.f64 g 4) (+.f64 (.f64 1/16 (/.f64 (sqrt.f64 -1) (pow.f64 h 3))) (*.f64 -3/16 (/.f64 (sqrt.f64 -1) (pow.f64 h 3))))))))
(*.f64 -1 g)
(+.f64 g (*.f64 -1 g))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (.f64 -1 g)))
(+.f64 (.f64 1/16 (/.f64 (pow.f64 h 4) (pow.f64 g 3))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 g (+.f64 (.f64 -1 g) (.f64 2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 h 4)) (.f64 -1/8 (pow.f64 h 4))) (pow.f64 g 3)))))))
(*.f64 -1 g)
(.f64 2 (.f64 -1 g))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 (*.f64 -1 g)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 2 (.f64 -1 g)) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/32 (pow.f64 h 4)) (.f64 -1/8 (pow.f64 h 4))) (pow.f64 g 3))) (*.f64 -1/16 (/.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 -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 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) g)
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2) (pow.f64 g 2)) (pow.f64 h 2))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 2)) g)
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(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2)) 1/3) (/.f64 (.f64 (cbrt.f64 1/2) (-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (pow.f64 g 4)) a)) (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (+.f64 (.f64 1/32 (pow.f64 g 4)) (.f64 -1/8 (pow.f64 g 4)))) a))) (.f64 1/12 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 4) (pow.f64 g 4)) (.f64 a (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g)))))) (pow.f64 h 4)))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 (/.f64 1 (.f64 a (pow.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2))) 1/3) (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (.f64 (cbrt.f64 1/2) (pow.f64 g 2))) (pow.f64 h 2)))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g)) a) 1/3) (cbrt.f64 1/2)) (.f64 1/3 (.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (+.f64 (.f64 1/32 (pow.f64 g 6)) (+.f64 (.f64 -1/384 (pow.f64 g 6)) (.f64 -1/12 (pow.f64 g 6))))) a)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (.f64 (+.f64 (.f64 1/32 (pow.f64 g 4)) (.f64 -1/8 (pow.f64 g 4))) (pow.f64 g 2))) a)) (.f64 -1/4 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (.f64 (pow.f64 g 2) (+.f64 (.f64 1/32 (pow.f64 g 4)) (.f64 -1/8 (pow.f64 g 4))))) a)))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (.f64 (pow.f64 g 2) (-.f64 (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (pow.f64 g 4)) a)) (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) (+.f64 (.f64 1/32 (pow.f64 g 4)) (.f64 -1/8 (pow.f64 g 4)))) a))) (.f64 1/12 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 4) (pow.f64 g 4)) (.f64 a (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g))))))) (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g))) (.f64 -1/216 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 6) (pow.f64 g 6)) (.f64 a (pow.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2)))))) (cbrt.f64 1/2)) (pow.f64 h 6)) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 (-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 2) g) 2)) 1/3))))))

Outputs
(*.f64 (pow.f64 -1 1/4) (sqrt.f64 h))
(+.f64 (.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (.f64 -1/4 (.f64 (pow.f64 -1 1/4) (.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))
(fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (.f64 -1/4 (.f64 (.f64 (pow.f64 -1 1/4) (.f64 g g)) (sqrt.f64 (/.f64 1 (pow.f64 h 3))))))
(fma.f64 -1/4 (.f64 (.f64 g g) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 3))) (pow.f64 -1 1/4))) (.f64 (pow.f64 -1 1/4) (sqrt.f64 h)))
(.f64 (pow.f64 -1 1/4) (+.f64 (sqrt.f64 h) (.f64 -1/4 (.f64 (.f64 g g) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))
(+.f64 (.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (+.f64 (.f64 -3/32 (.f64 (pow.f64 -1 1/4) (.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))))) (.f64 -1/4 (.f64 (pow.f64 -1 1/4) (*.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3))))))))
(fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (fma.f64 -3/32 (.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 g 4)) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))) (.f64 -1/4 (.f64 (.f64 (pow.f64 -1 1/4) (.f64 g g)) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))
(fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (fma.f64 -1/4 (.f64 (.f64 g g) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 3))) (pow.f64 -1 1/4))) (.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 7))) (.f64 (pow.f64 -1 1/4) (pow.f64 g 4))))))
(fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (.f64 (pow.f64 -1 1/4) (+.f64 (.f64 -1/4 (.f64 (.f64 g g) (sqrt.f64 (/.f64 1 (pow.f64 h 3))))) (.f64 -3/32 (.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7))))))))
(+.f64 (.f64 -7/128 (.f64 (pow.f64 -1 1/4) (.f64 (pow.f64 g 6) (sqrt.f64 (/.f64 1 (pow.f64 h 11)))))) (+.f64 (.f64 (pow.f64 -1 1/4) (sqrt.f64 h)) (+.f64 (.f64 -3/32 (.f64 (pow.f64 -1 1/4) (.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))))) (.f64 -1/4 (.f64 (pow.f64 -1 1/4) (.f64 (pow.f64 g 2) (sqrt.f64 (/.f64 1 (pow.f64 h 3)))))))))
(fma.f64 -7/128 (.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 g 6)) (sqrt.f64 (/.f64 1 (pow.f64 h 11)))) (fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (fma.f64 -3/32 (.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 g 4)) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))) (.f64 -1/4 (.f64 (.f64 (pow.f64 -1 1/4) (.f64 g g)) (sqrt.f64 (/.f64 1 (pow.f64 h 3))))))))
(fma.f64 -7/128 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 11))) (.f64 (pow.f64 -1 1/4) (pow.f64 g 6))) (fma.f64 (pow.f64 -1 1/4) (sqrt.f64 h) (fma.f64 -1/4 (.f64 (.f64 g g) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 3))) (pow.f64 -1 1/4))) (.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 h 7))) (.f64 (pow.f64 -1 1/4) (pow.f64 g 4)))))))
(+.f64 (.f64 (pow.f64 -1 1/4) (+.f64 (sqrt.f64 h) (.f64 (.f64 (pow.f64 g 4) (sqrt.f64 (/.f64 1 (pow.f64 h 7)))) -3/32))) (.f64 (pow.f64 -1 1/4) (+.f64 (.f64 -1/4 (.f64 (.f64 g g) (sqrt.f64 (/.f64 1 (pow.f64 h 3))))) (.f64 -7/128 (*.f64 (pow.f64 g 6) (sqrt.f64 (/.f64 1 (pow.f64 h 11))))))))
(sqrt.f64 g)
(+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (sqrt.f64 g))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h h)) (sqrt.f64 g))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (+.f64 (.f64 1/32 (pow.f64 h 4)) (.f64 -1/8 (pow.f64 h 4)))) (+.f64 (.f64 -1/4 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (sqrt.f64 g)))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (.f64 (pow.f64 h 4) -3/32) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (*.f64 h h)) (sqrt.f64 g)))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h h)) (fma.f64 -3/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)) (sqrt.f64 g)))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (+.f64 (.f64 1/32 (pow.f64 h 4)) (.f64 -1/8 (pow.f64 h 4)))) (+.f64 (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2))) (+.f64 (.f64 (+.f64 (.f64 1/32 (pow.f64 h 6)) (+.f64 (.f64 -1/12 (pow.f64 h 6)) (*.f64 -1/384 (pow.f64 h 6)))) (sqrt.f64 (/.f64 1 (pow.f64 g 11)))) (sqrt.f64 g))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (.f64 (pow.f64 h 4) -3/32) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h h)) (fma.f64 (fma.f64 1/32 (pow.f64 h 6) (.f64 (pow.f64 h 6) -11/128)) (sqrt.f64 (/.f64 1 (pow.f64 g 11))) (sqrt.f64 g))))
(fma.f64 -7/128 (.f64 (pow.f64 h 6) (sqrt.f64 (/.f64 1 (pow.f64 g 11)))) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h h)) (fma.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)) (sqrt.f64 g))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 g))
(*.f64 (sqrt.f64 g) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 g)) (.f64 -1/4 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 h 2)) (sqrt.f64 (/.f64 1 (pow.f64 g 3))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 g) (.f64 (.f64 -1/4 (.f64 (.f64 h h) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 g 3)))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h (.f64 h (sqrt.f64 -1)))) (.f64 (sqrt.f64 g) (sqrt.f64 -1)))
(.f64 (sqrt.f64 -1) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (*.f64 h h)) (sqrt.f64 g)))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 g)) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 1/32 (pow.f64 h 4)) (.f64 -1/8 (pow.f64 h 4)))) (sqrt.f64 (/.f64 1 (pow.f64 g 7)))) (.f64 -1/4 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 h 2)) (sqrt.f64 (/.f64 1 (pow.f64 g 3)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 g) (fma.f64 (.f64 (.f64 (pow.f64 h 4) -3/32) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (.f64 (.f64 -1/4 (.f64 (.f64 h h) (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 g 3))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 (.f64 -1/4 (.f64 h h)) (sqrt.f64 -1))) (.f64 (sqrt.f64 -1) (fma.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)) (sqrt.f64 g))))
(.f64 (sqrt.f64 -1) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h h)) (fma.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)) (sqrt.f64 g))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 g)) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 1/32 (pow.f64 h 4)) (.f64 -1/8 (pow.f64 h 4)))) (sqrt.f64 (/.f64 1 (pow.f64 g 7)))) (+.f64 (.f64 -1/4 (.f64 (.f64 (sqrt.f64 -1) (pow.f64 h 2)) (sqrt.f64 (/.f64 1 (pow.f64 g 3))))) (.f64 (.f64 (+.f64 (.f64 1/32 (pow.f64 h 6)) (+.f64 (.f64 -1/12 (pow.f64 h 6)) (*.f64 -1/384 (pow.f64 h 6)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 g 11)))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 g) (fma.f64 (.f64 (.f64 (pow.f64 h 4) -3/32) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 (.f64 h h) (sqrt.f64 -1))) (.f64 (fma.f64 1/32 (pow.f64 h 6) (.f64 (pow.f64 h 6) -11/128)) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 g 11))))))))
(+.f64 (fma.f64 (.f64 (pow.f64 h 6) -7/128) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 11))) (sqrt.f64 -1)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 (.f64 -1/4 (.f64 h h)) (sqrt.f64 -1)))) (.f64 (sqrt.f64 -1) (fma.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)) (sqrt.f64 g))))
(+.f64 (.f64 (sqrt.f64 -1) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h h)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (.f64 -3/32 (pow.f64 h 4))))) (.f64 (sqrt.f64 -1) (fma.f64 (*.f64 (pow.f64 h 6) -7/128) (sqrt.f64 (/.f64 1 (pow.f64 g 11))) (sqrt.f64 g))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 g))
(sqrt.f64 g)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2)))) (.f64 (pow.f64 1 1/4) (sqrt.f64 g)))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h h)) (sqrt.f64 g))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2)))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 g))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (.f64 (pow.f64 h 4) -3/32) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (*.f64 h h)) (sqrt.f64 g)))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h h)) (fma.f64 -3/32 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)) (sqrt.f64 g)))
(+.f64 (.f64 -7/128 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 11))) (pow.f64 h 6)))) (+.f64 (.f64 -1/4 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (pow.f64 h 2)))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 1 1/4) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)))) (.f64 (pow.f64 1 1/4) (sqrt.f64 g)))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (.f64 (pow.f64 h 4) -3/32) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h h)) (fma.f64 (fma.f64 1/32 (pow.f64 h 6) (.f64 (pow.f64 h 6) -11/128)) (sqrt.f64 (/.f64 1 (pow.f64 g 11))) (sqrt.f64 g))))
(fma.f64 -7/128 (.f64 (pow.f64 h 6) (sqrt.f64 (/.f64 1 (pow.f64 g 11)))) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 3))) (.f64 h h)) (fma.f64 -3/32 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 g 7))) (pow.f64 h 4)) (sqrt.f64 g))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1))))
(pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 h)) (log.f64 -1)))
(*.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 1 h) -1/2))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (.f64 -1/4 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) (pow.f64 g 2)) (pow.f64 h 2))))
(+.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 h)) (log.f64 -1))) (.f64 -1/4 (/.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (neg.f64 (log.f64 h)) (log.f64 -1))) (/.f64 (.f64 h h) (*.f64 g g)))))
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(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 a (/.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) g) 2) a))) (.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 h 4)) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (/.f64 a (pow.f64 g 4))) (fma.f64 2 (/.f64 (.f64 -3/32 (pow.f64 g 4)) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (/.f64 (.f64 -1/12 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 4)) (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) g) (/.f64 (pow.f64 g 4) a))))))) (fma.f64 -1/6 (.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) g) 2))) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (.f64 (/.f64 h (.f64 g g)) (/.f64 h (cbrt.f64 1/2))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 a (/.f64 (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) g) 2) a))) (.f64 (/.f64 (-.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) a) (.f64 (pow.f64 g 6) -7/128)) (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (/.f64 a (.f64 (pow.f64 g 6) -3/32))) -1/2)) (fma.f64 -1/3 (.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) g)) (.f64 (.f64 g g) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) (/.f64 a (pow.f64 g 4))) (fma.f64 2 (/.f64 (.f64 -3/32 (pow.f64 g 4)) (/.f64 a (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (/.f64 (.f64 -1/12 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 4)) (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) g) (/.f64 (pow.f64 g 4) a))))))) (.f64 -1/216 (.f64 (/.f64 (pow.f64 g 6) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 6) (pow.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) g) 2)))))) (pow.f64 h 6)) (cbrt.f64 1/2))) (*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2) g) a))))))
(+.f64 (fma.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) g) a)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 (-.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) g) 2))) (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) (.f64 (/.f64 h (.f64 g g)) (/.f64 h (cbrt.f64 1/2)))) -1/6))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 a (/.f64 (pow.f64 (-.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) g) 2) a)))) (+.f64 (.f64 (/.f64 (-.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) a) (.f64 (pow.f64 g 6) -7/128)) (.f64 (.f64 (/.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) a) (.f64 (pow.f64 g 6) -3/32)) -1/2)) (fma.f64 -1/3 (.f64 (.f64 g (.f64 g (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2))) (/.f64 (fma.f64 1/16 (/.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) (/.f64 a (pow.f64 g 4))) (fma.f64 2 (/.f64 (.f64 -3/32 (pow.f64 g 4)) (/.f64 a (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2))) (/.f64 (.f64 -1/12 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 4)) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) g) (/.f64 (pow.f64 g 4) a))))) (-.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) g))) (.f64 -1/216 (.f64 (/.f64 (pow.f64 g 6) a) (/.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 6) (pow.f64 (-.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) g) 2)))))) (pow.f64 h 6)) (cbrt.f64 1/2)) (.f64 (/.f64 (cbrt.f64 1/2) (pow.f64 h 4)) (fma.f64 1/16 (/.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) (/.f64 a (pow.f64 g 4))) (fma.f64 2 (/.f64 (.f64 -3/32 (pow.f64 g 4)) (/.f64 a (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2))) (/.f64 (.f64 -1/12 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 4)) (/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 -1 1/4) (pow.f64 (/.f64 -1 h) -1/2)) 2) g) (/.f64 (pow.f64 g 4) a)))))))))

localize88.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	4.0b	(-.f64 (.f64 g g) (.f64 h h))
	8.3b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
	28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 116 to 38 computations (67.2% saved)

series2.0ms (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	@	0	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`fma-def_binary64`
435×	`log-prod_binary64`
336×	`fma-neg_binary64`
329×	`pow-prod-down_binary64`
245×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	189	15
2	2899	14

Stop Event

1×	node limit

Counts

1 → 54

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

751×	`associate-/l/_binary64`
466×	`times-frac_binary64`
416×	`distribute-neg-frac_binary64`
396×	`associate-/r/_binary64`
378×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	73	548
1	220	537
2	705	523
3	3520	521
4	6368	520

Stop Event

1×	node limit

Counts

78 → 85

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 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) g))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.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) 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 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) g)))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.f64 -1)) 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 -1/2 (.f64 (/.f64 h 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 -1/2 (.f64 (/.f64 h g) h))))
(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 g 2 (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 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 (/.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 -1/2 (.f64 (/.f64 h 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 -1/2 (.f64 (/.f64 h g) h))))
(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 g 2 (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) 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 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) g))
(fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.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) 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 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (fma.f64 (/.f64 1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) g)))
(fma.f64 (/.f64 1/8 (sqrt.f64 -1)) (/.f64 (pow.f64 g 4) (pow.f64 h 3)) (fma.f64 (sqrt.f64 -1) h (fma.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.f64 -1)) 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 -1/2 (sqrt.f64 -1)) (/.f64 g (/.f64 h g)) g) (*.f64 (sqrt.f64 -1) h))
(-.f64 g (fma.f64 (sqrt.f64 -1) h (*.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.f64 -1)))))
(+.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 1/8 (pow.f64 g 4)) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))
(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)))
(-.f64 (fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) -1/2 (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 (sqrt.f64 -1) h (*.f64 1/2 (/.f64 (/.f64 g (/.f64 h g)) (sqrt.f64 -1)))))
(fma.f64 (.f64 (/.f64 g (sqrt.f64 -1)) g) (+.f64 (/.f64 -1/2 h) (/.f64 (.f64 (.f64 1/8 g) g) (neg.f64 (pow.f64 h 3)))) (-.f64 g (.f64 (sqrt.f64 -1) h)))

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g)))
	8.3b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
✓	16.8b	(-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g)
	28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 171 to 43 computations (74.9% saved)

series48.0ms (0.5%)

Counts

2 → 32

Calls

15 calls:

Time	Variable		Point	Expression
10.0ms	h	@	0	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g)))
6.0ms	g	@	inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g)))
6.0ms	h	@	inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g)))
5.0ms	g	@	-inf	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g)))
5.0ms	g	@	-inf	(-.f64 (*.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g)

rewrite87.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`log-prod_binary64`
527×	`fma-def_binary64`
273×	`expm1-udef_binary64`
273×	`log1p-udef_binary64`
254×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	313	38
2	4370	38

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

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

Outputs

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

simplify105.0ms (1%)

Algorithm

1×	egg-herbie

Rules

647×	`distribute-rgt-in_binary64`
306×	`associate-r_binary64`
295×	`times-frac_binary64`
239×	`fma-def_binary64`
225×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	336	2807
1	1236	1943
2	5532	1067

Stop Event

1×	node limit

Counts

168 → 185

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) h))) 1) g) (*.f64 (sqrt.f64 -1) h))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) h))) 1) g) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (.f64 (sqrt.f64 -1) h))) 2)) (pow.f64 g 2)) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h)))
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) h))) 1) g) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 g 3) (.f64 (+.f64 h (.f64 -1 h)) (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) h))) 2)))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (.f64 (sqrt.f64 -1) h))) 2)) (pow.f64 g 2)) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))))
(.f64 1/2 (+.f64 h (.f64 -1 h)))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) g)) (.f64 1/2 (+.f64 h (.f64 -1 h))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) g)) (+.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) 2)) (+.f64 (.f64 -1 h) h)) (pow.f64 g 2)))))
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) g)) (+.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) 2))) 2) (.f64 -1/4 (.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) (.f64 (+.f64 h (.f64 -1 h)) (+.f64 (.f64 -1 h) h))))) (pow.f64 g 3))) (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) 2)) (+.f64 (*.f64 -1 h) h)) (pow.f64 g 2))))))
(.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) g))
(+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) g)) (.f64 1/2 (+.f64 h (.f64 -1 h))))
(+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) g)) (+.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 h 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (*.f64 -1 h) h) (sqrt.f64 -1))) 2)) g))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (pow.f64 h 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (sqrt.f64 -1))) 2)) (+.f64 (.f64 -1 h) h)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 g 2)))) (+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) g)) (+.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) (.f64 -1/2 (/.f64 (-.f64 (pow.f64 h 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (*.f64 -1 h) h) (sqrt.f64 -1))) 2)) g)))))
(.f64 1/2 (/.f64 (.f64 (+.f64 g (*.f64 -1 g)) h) g))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) g)) 2)) (pow.f64 h 2)) g)) (.f64 1/2 (/.f64 (.f64 (+.f64 g (*.f64 -1 g)) h) g)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) g)) 2)) (pow.f64 h 2)) g)) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 g (.f64 -1 g)) h) g)) (.f64 1/4 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/2 (/.f64 (+.f64 g (.f64 -1 g)) g)) 2) 1) (.f64 (+.f64 (*.f64 -1 g) g) (pow.f64 h 3))) (pow.f64 g 3)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) g)) 2)) (pow.f64 h 2)) g)) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 g (.f64 -1 g)) h) g)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 1/2 (/.f64 (+.f64 g (.f64 -1 g)) g)) 2) 1) g)) 2) (.f64 1/4 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) g)) 2)) (.f64 (+.f64 g (.f64 -1 g)) (+.f64 (.f64 -1 g) g))) (pow.f64 g 4)))) (pow.f64 h 4)) g)) (.f64 1/4 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/2 (/.f64 (+.f64 g (.f64 -1 g)) g)) 2) 1) (.f64 (+.f64 (*.f64 -1 g) g) (pow.f64 h 3))) (pow.f64 g 3))))))
(*.f64 (sqrt.f64 -1) h)
(-.f64 (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/2 (/.f64 (+.f64 (*.f64 -1 g) g) (sqrt.f64 -1)))) g)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 g 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 g (.f64 -1 g)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/2 (/.f64 (+.f64 (*.f64 -1 g) g) (sqrt.f64 -1))))) g)
(-.f64 (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 g (.f64 -1 g)) (-.f64 (pow.f64 g 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 2)))) (+.f64 (.f64 1/2 (/.f64 (-.f64 (pow.f64 g 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 g (.f64 -1 g)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) h))) (+.f64 (.f64 (sqrt.f64 -1) h) (.f64 1/2 (/.f64 (+.f64 (*.f64 -1 g) g) (sqrt.f64 -1)))))) g)
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) (sqrt.f64 -1)))) g)
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 g 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 g (.f64 -1 g)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) h))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) (sqrt.f64 -1))))) g)
(-.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 -1) h)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (+.f64 g (.f64 -1 g)) (-.f64 (pow.f64 g 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) (sqrt.f64 -1))) 2))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 2)))) (+.f64 (.f64 -1/2 (/.f64 (-.f64 (pow.f64 g 2) (pow.f64 (.f64 1/2 (/.f64 (+.f64 g (.f64 -1 g)) (sqrt.f64 -1))) 2)) (.f64 (sqrt.f64 -1) h))) (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) (sqrt.f64 -1)))))) g)
(.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (.f64 (sqrt.f64 -1) (.f64 a h)))) (/.f64 1 a)) (.f64 g (cbrt.f64 1/2))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/9))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2)))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (.f64 (sqrt.f64 -1) (.f64 a h)))) (/.f64 1 a)) (.f64 g (cbrt.f64 1/2))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/9))) (+.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 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) h))) 2)) (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (.f64 (pow.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) (.f64 a h)))) (/.f64 1 a)) 2) (pow.f64 (/.f64 (.f64 1 a) (.f64 (sqrt.f64 -1) h)) 1/9)))) (.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3) (cbrt.f64 1/2))))
(+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (.f64 (sqrt.f64 -1) (.f64 a h)))) (/.f64 1 a)) (.f64 g (cbrt.f64 1/2))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/9))) (+.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 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) h))) 2)) (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (.f64 (pow.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) (.f64 a h)))) (/.f64 1 a)) 2) (pow.f64 (/.f64 (.f64 1 a) (.f64 (sqrt.f64 -1) 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 -1/4 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (.f64 (sqrt.f64 -1) h))) 2)) (+.f64 (.f64 -1 h) h)) (.f64 (pow.f64 (sqrt.f64 -1) 3) (.f64 a (pow.f64 h 3))))) (+.f64 (.f64 2/3 (.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) (.f64 a h)))) (/.f64 1 a)) (-.f64 (.f64 1/2 (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (.f64 (sqrt.f64 -1) h))) 2)) (.f64 (sqrt.f64 -1) (.f64 a h)))) (.f64 1/3 (.f64 (pow.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (.f64 (sqrt.f64 -1) (.f64 a h)))) (/.f64 1 a)) 2) (pow.f64 (/.f64 (.f64 1 a) (.f64 (sqrt.f64 -1) h)) 1/9))))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 5)) (.f64 (pow.f64 (sqrt.f64 -1) 5) (pow.f64 h 5))) 1/9))) (.f64 1/27 (.f64 (pow.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) (.f64 a h)))) (/.f64 1 a)) 3) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 h 2))) 1/3))))) (.f64 (cbrt.f64 1/2) (pow.f64 g 3))))) (.f64 (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (.f64 1 h)) a) 1/3) (cbrt.f64 1/2)))))
(.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (*.f64 -1 h) h)) a) 1/3) (pow.f64 (cbrt.f64 1/2) 2))
(+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 a 7) (pow.f64 (+.f64 h (.f64 -1 h)) 2))) 1/9) (.f64 (/.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) 2)) g) (pow.f64 (cbrt.f64 1/2) 1/3)))) (.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (*.f64 -1 h) h)) a) 1/3) (pow.f64 (cbrt.f64 1/2) 2)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 (+.f64 h (.f64 -1 h)) 2)) 1/3) (/.f64 (-.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) (+.f64 h (.f64 -1 h))) a)) (.f64 1/12 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 a 17) (pow.f64 (+.f64 (.f64 -1 h) h) 4))) 1/9) (.f64 (pow.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) 2) (pow.f64 (/.f64 (+.f64 h (.f64 -1 h)) (cbrt.f64 1/2)) 1/3))))) (.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 a 7) (pow.f64 (+.f64 h (.f64 -1 h)) 2))) 1/9) (.f64 (/.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) 2)) g) (pow.f64 (cbrt.f64 1/2) 1/3)))) (.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (*.f64 -1 h) h)) a) 1/3) (pow.f64 (cbrt.f64 1/2) 2))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 (+.f64 h (.f64 -1 h)) 2)) 1/3) (/.f64 (-.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) (+.f64 h (.f64 -1 h))) a)) (.f64 1/12 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 a 17) (pow.f64 (+.f64 (.f64 -1 h) h) 4))) 1/9) (.f64 (pow.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) 2) (pow.f64 (/.f64 (+.f64 h (.f64 -1 h)) (cbrt.f64 1/2)) 1/3))))) (.f64 (pow.f64 g 2) (cbrt.f64 1/2))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 a 7) (pow.f64 (+.f64 h (.f64 -1 h)) 2))) 1/9) (.f64 (/.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) 2)) g) (pow.f64 (cbrt.f64 1/2) 1/3)))) (+.f64 (.f64 (pow.f64 (/.f64 (.f64 1 (+.f64 (.f64 -1 h) h)) a) 1/3) (pow.f64 (cbrt.f64 1/2) 2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (pow.f64 (+.f64 h (.f64 -1 h)) 2)) 1/3) (/.f64 (-.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 -1/4 (.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) 2)) (.f64 (+.f64 h (.f64 -1 h)) (+.f64 (.f64 -1 h) h)))) (pow.f64 (.f64 1/2 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2))) 2)) a)) (+.f64 (.f64 1/216 (.f64 (/.f64 (pow.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) 3) (pow.f64 (cbrt.f64 1/2) 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (+.f64 (.f64 -1 h) h) 2))) 1/3))) (.f64 1/3 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 a 4) (pow.f64 (+.f64 (.f64 -1 h) h) 8))) 1/9) (.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) (-.f64 (.f64 -1/4 (/.f64 (.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) 2)) (+.f64 (.f64 -1 h) h)) a)) (.f64 1/12 (.f64 (pow.f64 (/.f64 (pow.f64 1 4) (.f64 (pow.f64 a 17) (pow.f64 (+.f64 h (.f64 -1 h)) 4))) 1/9) (.f64 (pow.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 h (.f64 -1 h))) 2)) 2) (pow.f64 (/.f64 (+.f64 (.f64 -1 h) h) (cbrt.f64 1/2)) 1/3)))))) (pow.f64 (/.f64 (+.f64 h (.f64 -1 h)) (pow.f64 (cbrt.f64 1/2) 5)) 1/3)))))) (*.f64 (pow.f64 g 3) (cbrt.f64 1/2))))))))

Outputs
(*.f64 (sqrt.f64 -1) h)
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) h))) 1) g) (*.f64 (sqrt.f64 -1) h))
(fma.f64 (fma.f64 1/2 (/.f64 (.f64 0 h) (.f64 (sqrt.f64 -1) h)) -1) g (*.f64 (sqrt.f64 -1) h))
(fma.f64 (sqrt.f64 -1) h (.f64 (+.f64 -1 (/.f64 0 (.f64 (sqrt.f64 -1) h))) g))
(-.f64 (*.f64 (sqrt.f64 -1) h) g)
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) h))) 1) g) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (.f64 (sqrt.f64 -1) h))) 2)) (pow.f64 g 2)) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h)))
(fma.f64 (fma.f64 1/2 (/.f64 (.f64 0 h) (.f64 (sqrt.f64 -1) h)) -1) g (fma.f64 1/2 (.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (.f64 0 h) (.f64 (sqrt.f64 -1) h))) 2)) (sqrt.f64 -1)) (/.f64 (.f64 g g) h)) (.f64 (sqrt.f64 -1) h)))
(fma.f64 (+.f64 -1 (/.f64 0 (.f64 (sqrt.f64 -1) h))) g (fma.f64 (sqrt.f64 -1) h (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (.f64 (sqrt.f64 -1) h)) 2)) (sqrt.f64 -1)) (.f64 (/.f64 g (/.f64 h g)) 1/2))))
(-.f64 (fma.f64 (sqrt.f64 -1) h (.f64 1/2 (/.f64 (.f64 g (/.f64 g h)) (sqrt.f64 -1)))) g)
(+.f64 (.f64 (-.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) h))) 1) g) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 g 3) (.f64 (+.f64 h (.f64 -1 h)) (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 h) h) (.f64 (sqrt.f64 -1) h))) 2)))) (.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))) (+.f64 (.f64 1/2 (/.f64 (.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 h (.f64 -1 h)) (.f64 (sqrt.f64 -1) h))) 2)) (pow.f64 g 2)) (.f64 (sqrt.f64 -1) h))) (*.f64 (sqrt.f64 -1) h))))
(fma.f64 (fma.f64 1/2 (/.f64 (.f64 0 h) (.f64 (sqrt.f64 -1) h)) -1) g (fma.f64 1/2 (.f64 (/.f64 (-.f64 1 (pow.f64 (.f64 1/2 (/.f64 (.f64 0 h) (.f64 (sqrt.f64 -1) h))) 2)) (sqrt.f64 -1)) (/.f64 (.f64 g g) h)) (.f64 (sqrt.f64 -1) h)))
(fma.f64 (+.f64 -1 (/.f64 0 (.f64 (sqrt.f64 -1) h))) g (fma.f64 (sqrt.f64 -1) h (.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 0 (.f64 (sqrt.f64 -1) h)) 2)) (sqrt.f64 -1)) (.f64 (/.f64 g (/.f64 h g)) 1/2))))
(-.f64 (fma.f64 (sqrt.f64 -1) h (.f64 1/2 (/.f64 (.f64 g (/.f64 g h)) (sqrt.f64 -1)))) g)
(.f64 1/2 (+.f64 h (.f64 -1 h)))
(.f64 1/2 (.f64 0 h))
0
(+.f64 (.f64 1/2 (/.f64 (-.f64 (.f64 -1 (pow.f64 h 2)) (pow.f64 (.f64 1/2 (+.f64 (.f64 -1 h) h)) 2)) g)) (.f64 1/2 (+.f64 h (.f64 -1 h))))
(.f64 1/2 (+.f64 (/.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) g) (*.f64 0 h)))
(fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 h h) 0) g) 0)
(*.f64 1/2 (/.f64 (neg.f64 h) (/.f64 g h)))
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(.f64 1/2 (+.f64 (/.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) g) (*.f64 0 h)))
(fma.f64 1/2 (/.f64 (fma.f64 -1 (*.f64 h h) 0) g) 0)
(*.f64 1/2 (/.f64 (neg.f64 h) (/.f64 g h)))
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(fma.f64 1/2 (/.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) g) (fma.f64 1/2 (.f64 0 h) (fma.f64 -1/2 (/.f64 (fma.f64 -1/4 (.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) (pow.f64 (.f64 0 h) 2)) (pow.f64 (.f64 1/2 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2))) 2)) (pow.f64 g 3)) (.f64 -1/4 (/.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) (/.f64 (.f64 g g) (*.f64 0 h)))))))
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 -1 (.f64 h h) 0) g) 0) (fma.f64 -1/2 (/.f64 (+.f64 0 (.f64 1/4 (pow.f64 (fma.f64 -1 (.f64 h h) 0) 2))) (pow.f64 g 3)) (/.f64 0 (.f64 g g))))
(fma.f64 1/2 (/.f64 (neg.f64 h) (/.f64 g h)) (.f64 -1/2 (/.f64 (.f64 1/4 (pow.f64 h 4)) (pow.f64 g 3))))
(.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) g))
(.f64 1/2 (.f64 0 h))
0
(+.f64 (.f64 -1 (.f64 (+.f64 1 (pow.f64 (sqrt.f64 -1) 2)) g)) (.f64 1/2 (+.f64 h (.f64 -1 h))))
(.f64 1/2 (.f64 0 h))
0
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(fma.f64 -1 (.f64 g (+.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/2 (.f64 0 h) (.f64 -1/2 (/.f64 (-.f64 (.f64 h h) (pow.f64 (.f64 1/2 (/.f64 (.f64 0 h) (sqrt.f64 -1))) 2)) g))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 h h) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) g) 0)
(*.f64 -1/2 (/.f64 h (/.f64 g h)))
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(fma.f64 -1 (.f64 g (+.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/2 (.f64 0 h) (.f64 -1/2 (/.f64 (-.f64 (.f64 h h) (pow.f64 (.f64 1/2 (/.f64 (.f64 0 h) (sqrt.f64 -1))) 2)) g))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 h h) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) g) 0)
(*.f64 -1/2 (/.f64 h (/.f64 g h)))
(.f64 1/2 (/.f64 (.f64 (+.f64 g (*.f64 -1 g)) h) g))
(.f64 1/2 (.f64 0 h))
0
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) g)) 2)) (pow.f64 h 2)) g)) (.f64 1/2 (/.f64 (.f64 (+.f64 g (*.f64 -1 g)) h) g)))
(fma.f64 -1 (.f64 g (+.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/2 (.f64 0 h) (.f64 -1/2 (/.f64 (-.f64 (.f64 h h) (pow.f64 (.f64 1/2 (/.f64 (.f64 0 h) (sqrt.f64 -1))) 2)) g))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 h h) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) g) 0)
(*.f64 -1/2 (/.f64 h (/.f64 g h)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (+.f64 1 (pow.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 g) g) g)) 2)) (pow.f64 h 2)) g)) (+.f64 (.f64 1/2 (/.f64 (.f64 (+.f64 g (.f64 -1 g)) h) g)) (.f64 1/4 (/.f64 (.f64 (+.f64 (pow.f64 (.f64 1/2 (/.f64 (+.f64 g (.f64 -1 g)) g)) 2) 1) (.f64 (+.f64 (*.f64 -1 g) g) (pow.f64 h 3))) (pow.f64 g 3)))))
(fma.f64 -1 (.f64 g (+.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 1/2 (.f64 0 h) (.f64 -1/2 (/.f64 (-.f64 (.f64 h h) (pow.f64 (.f64 1/2 (/.f64 (.f64 0 h) (sqrt.f64 -1))) 2)) g))))
(fma.f64 -1/2 (/.f64 (-.f64 (*.f64 h h) (pow.f64 (/.f64 0 (sqrt.f64 -1)) 2)) g) 0)
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(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (pow.f64 (.f64 0 h) 2))) (/.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) (/.f64 a (.f64 0 h)))) (.f64 -1/12 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (pow.f64 (.f64 0 h) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (pow.f64 (.f64 0 h) 4)) 1/18)) (pow.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) 2)) (cbrt.f64 (/.f64 (.f64 0 h) (cbrt.f64 1/2)))))) (.f64 (.f64 g g) (cbrt.f64 1/2)))) (fma.f64 1/6 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (.f64 0 h) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (.f64 0 h) 2))) 1/18)) (.f64 (/.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) g) (cbrt.f64 (cbrt.f64 1/2)))) (fma.f64 (cbrt.f64 (/.f64 (.f64 0 h) a)) (pow.f64 (cbrt.f64 1/2) 2) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 (.f64 a a) (pow.f64 (.f64 0 h) 2)))) (/.f64 (-.f64 (/.f64 (.f64 -1/2 (fma.f64 -1/4 (.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) (pow.f64 (.f64 0 h) 2)) (pow.f64 (.f64 1/2 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2))) 2))) a) (fma.f64 1/216 (.f64 (/.f64 (pow.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (.f64 0 h) 2))))) (.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 4) (pow.f64 (.f64 0 h) 8))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 4) (pow.f64 (.f64 0 h) 8))) 1/18))) (.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) (.f64 (+.f64 (.f64 -1/4 (/.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) (/.f64 a (.f64 0 h)))) (.f64 -1/12 (.f64 (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (pow.f64 (.f64 0 h) 4)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 17)) (pow.f64 (.f64 0 h) 4)) 1/18)) (pow.f64 (-.f64 (neg.f64 (.f64 h h)) (pow.f64 (.f64 1/2 (.f64 0 h)) 2)) 2)) (cbrt.f64 (/.f64 (.f64 0 h) (cbrt.f64 1/2)))))) (cbrt.f64 (/.f64 (.f64 0 h) (pow.f64 (cbrt.f64 1/2) 5)))))))) (.f64 (pow.f64 g 3) (cbrt.f64 1/2)))))))
(fma.f64 1/3 (/.f64 (.f64 (cbrt.f64 (/.f64 a (/.f64 0 a))) (-.f64 (/.f64 0 a) (.f64 (.f64 (.f64 (.f64 1/12 (pow.f64 (/.f64 1 (.f64 0 (pow.f64 a 17))) 1/18)) (pow.f64 (/.f64 1 (.f64 0 (pow.f64 a 17))) 1/18)) (cbrt.f64 (/.f64 0 (cbrt.f64 1/2)))) (pow.f64 (fma.f64 -1 (.f64 h h) 0) 2)))) (.f64 g (.f64 g (cbrt.f64 1/2)))) (fma.f64 1/6 (.f64 (/.f64 (fma.f64 -1 (.f64 h h) 0) g) (.f64 (cbrt.f64 (cbrt.f64 1/2)) (.f64 (pow.f64 (/.f64 1 (.f64 0 (pow.f64 a 7))) 1/18) (pow.f64 (/.f64 1 (.f64 0 (pow.f64 a 7))) 1/18)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 a (/.f64 0 a))) (/.f64 (-.f64 (/.f64 (+.f64 0 (.f64 (.f64 1/4 (pow.f64 (fma.f64 -1 (.f64 h h) 0) 2)) -1/2)) a) (fma.f64 1/3 (.f64 (fma.f64 -1 (.f64 h h) 0) (.f64 (.f64 (-.f64 (/.f64 0 a) (.f64 (.f64 (.f64 (.f64 1/12 (pow.f64 (/.f64 1 (.f64 0 (pow.f64 a 17))) 1/18)) (pow.f64 (/.f64 1 (.f64 0 (pow.f64 a 17))) 1/18)) (cbrt.f64 (/.f64 0 (cbrt.f64 1/2)))) (pow.f64 (fma.f64 -1 (.f64 h h) 0) 2))) (cbrt.f64 (/.f64 0 (pow.f64 (cbrt.f64 1/2) 5)))) (.f64 (pow.f64 (/.f64 1 (.f64 0 (pow.f64 a 4))) 1/18) (pow.f64 (/.f64 1 (.f64 0 (pow.f64 a 4))) 1/18)))) (.f64 1/216 (.f64 (/.f64 (pow.f64 (fma.f64 -1 (.f64 h h) 0) 3) (pow.f64 (cbrt.f64 1/2) 2)) (cbrt.f64 (/.f64 1 (.f64 0 (pow.f64 a 7)))))))) (.f64 (pow.f64 g 3) (cbrt.f64 1/2)))) (.f64 (cbrt.f64 (/.f64 0 a)) (pow.f64 (cbrt.f64 1/2) 2)))))
(+.f64 (fma.f64 0 (pow.f64 (cbrt.f64 1/2) 2) (.f64 (.f64 (/.f64 (neg.f64 h) (/.f64 g h)) (cbrt.f64 (cbrt.f64 1/2))) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 0) 1/18) (pow.f64 (/.f64 1 0) 1/18))))) (.f64 (cbrt.f64 (/.f64 1 0)) (+.f64 (.f64 1/3 (/.f64 (fma.f64 -1/2 (/.f64 (.f64 1/4 (pow.f64 h 4)) a) (.f64 (cbrt.f64 (/.f64 1 0)) (.f64 (/.f64 (pow.f64 (.f64 h (neg.f64 h)) 3) (pow.f64 (cbrt.f64 1/2) 2)) -1/216))) (*.f64 (pow.f64 g 3) (cbrt.f64 1/2)))) 0)))

localize76.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	14.5b	(cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a)))
	28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))
✓	31.9b	(+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3))
✓	40.6b	(pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)

Compiler

Compiled 178 to 65 computations (63.5% saved)

series43.0ms (0.4%)

Counts

3 → 64

Calls

21 calls:

Time	Variable		Point	Expression
9.0ms	g	@	inf	(pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)
7.0ms	h	@	inf	(cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a)))
5.0ms	h	@	inf	(pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)
3.0ms	h	@	-inf	(cbrt.f64 (.f64 (+.f64 g (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a)))
3.0ms	g	@	0	(pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)

rewrite99.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

764×	`log-prod_binary64`
666×	`fma-def_binary64`
336×	`fma-neg_binary64`
295×	`expm1-udef_binary64`
295×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	371	50
2	4879	47

Stop Event

1×	node limit

Counts

3 → 112

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) (cbrt.f64 (exp.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 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 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 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) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 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 4) (pow.f64 h 4))) (hypot.f64 g h))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 g 6) (pow.f64 h 6))) (hypot.f64 (*.f64 g g) (hypot.f64 (*.f64 h h) (*.f64 g 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 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 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 hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))) (hypot.f64 (sqrt.f64 (*.f64 h (neg.f64 h))) h))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 (sqrt.f64 (*.f64 h (neg.f64 h))) h) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 h (neg.f64 h))) g)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 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 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 1))))))

((#(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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))) (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 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simplify141.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

450×	`cancel-sign-sub-inv_binary64`
450×	`fma-def_binary64`
440×	`associate-r_binary64`
369×	`fma-neg_binary64`
337×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	444	6510
1	1540	5797
2	6284	5292

Stop Event

1×	node limit

Counts

176 → 224

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)))
(+.f64 (.f64 1/3 (/.f64 (-.f64 (+.f64 (.f64 9/16 (.f64 (pow.f64 g 3) (pow.f64 h 6))) (+.f64 (.f64 1/2 (.f64 (pow.f64 g 3) (pow.f64 h 6))) (.f64 -9/8 (.f64 (pow.f64 g 3) (pow.f64 h 6))))) (+.f64 (.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))) (.f64 1/8 (.f64 (pow.f64 g 3) (pow.f64 h 6))))) (pow.f64 g 8))) (+.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))))
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)))))
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(pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3)
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(*.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))
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g
(*.f64 2 g)
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g
(+.f64 (*.f64 -1 g) g)
(+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (+.f64 (.f64 -1 g) g))
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(*.f64 2 g)
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)) (.f64 2 g))
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(+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (.f64 -2 (log.f64 (/.f64 1 h))) (log.f64 -1)))) 1/3) g)
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(+.f64 (pow.f64 (exp.f64 (.f64 3/2 (+.f64 (log.f64 -1) (.f64 -2 (log.f64 (/.f64 -1 h)))))) 1/3) g)
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(.f64 (cbrt.f64 -1/2) (pow.f64 (/.f64 (.f64 (sqrt.f64 -1) (*.f64 1 h)) a) 1/3))
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(.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (pow.f64 (/.f64 (*.f64 1 g) a) 1/3))
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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 -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 (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 3/8 (/.f64 (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))))))
(fma.f64 -1/2 (.f64 (/.f64 g (sqrt.f64 -1)) (/.f64 g h)) (fma.f64 (sqrt.f64 -1) h (.f64 -1/3 (/.f64 (.f64 (fma.f64 3/8 (/.f64 (sqrt.f64 -1) h) (/.f64 -3/4 (.f64 (sqrt.f64 -1) h))) (pow.f64 g 4)) (*.f64 h h)))))
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g
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g
(*.f64 2 g)
(*.f64 g 2)
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(fma.f64 g 2 (.f64 (/.f64 -1/2 g) (.f64 h h)))
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g
(+.f64 (*.f64 -1 g) g)
(*.f64 0 g)
0
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(fma.f64 1/2 (/.f64 (.f64 h h) g) (.f64 0 g))
(fma.f64 (/.f64 h (/.f64 g h)) 1/2 0)
(.f64 (/.f64 1/2 g) (.f64 h h))
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(*.f64 2 g)
(*.f64 g 2)
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(fma.f64 g 2 (.f64 (/.f64 -1/2 g) (.f64 h h)))
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(+.f64 g (cbrt.f64 (*.f64 (pow.f64 (/.f64 1 h) -3) (pow.f64 -1 3/2))))
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(fma.f64 -1/6 (.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (.f64 h h)) (.f64 g g)) (cbrt.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) a) (pow.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) 2)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) 2))) (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 h 6)) (-.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (.f64 (/.f64 (-.f64 (.f64 (.f64 (pow.f64 g 6) 1/16) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))) (fma.f64 (neg.f64 (fma.f64 (.f64 3/8 (pow.f64 g 4)) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) (.f64 (.f64 (pow.f64 g 4) -3/4) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))))) (.f64 g g) (.f64 (pow.f64 g 6) (.f64 -1/8 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))))) a) 1/3)) (fma.f64 (.f64 -1/3 (.f64 (/.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (/.f64 (fma.f64 (.f64 3/8 (pow.f64 g 4)) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) (.f64 (.f64 (pow.f64 g 4) -3/4) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) a)) (.f64 (.f64 -1/12 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (/.f64 (pow.f64 g 4) (.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) a)))) (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))))) (.f64 g g))) (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1)))) (.f64 -1/216 (/.f64 (pow.f64 g 6) (/.f64 (pow.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) 2) (/.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) a)))))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) 2))) (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 h 4) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (/.f64 (fma.f64 (.f64 3/8 (pow.f64 g 4)) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) (.f64 (.f64 (pow.f64 g 4) -3/4) (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) a)) (.f64 (.f64 -1/12 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))) 2))) (/.f64 (pow.f64 g 4) (.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) a))))))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (+.f64 g (cbrt.f64 (pow.f64 (exp.f64 3/2) (fma.f64 -2 (log.f64 (/.f64 -1 h)) (log.f64 -1))))) a))))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (cbrt.f64 -1/2) (.f64 h h)) (.f64 g g)) (cbrt.f64 (/.f64 (/.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) a) (pow.f64 (+.f64 g (cbrt.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) 2)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 g (cbrt.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) 2))) (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 h 6)) (-.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) 2))) (.f64 (/.f64 (+.f64 (fma.f64 (.f64 (pow.f64 g 6) 1/16) (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) (.f64 g (.f64 g (fma.f64 (pow.f64 g 4) (.f64 3/8 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))) (.f64 (.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) -3/4) (pow.f64 g 4)))))) (.f64 1/8 (.f64 (pow.f64 g 6) (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))))) a) 1/3)) (fma.f64 (.f64 -1/3 (.f64 (.f64 g g) (/.f64 (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) 2))) (/.f64 (fma.f64 (pow.f64 g 4) (.f64 3/8 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))) (.f64 (.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) -3/4) (pow.f64 g 4))) a)) (.f64 (.f64 -1/12 (cbrt.f64 (pow.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) 2))) (/.f64 (pow.f64 g 4) (.f64 (+.f64 g (cbrt.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) a)))) (+.f64 g (cbrt.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))))))) (cbrt.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))) (.f64 -1/216 (/.f64 (pow.f64 g 6) (.f64 (pow.f64 (+.f64 g (cbrt.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) 2) (/.f64 a (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))))))))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (pow.f64 (+.f64 g (cbrt.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) 2))) (/.f64 (cbrt.f64 -1/2) (/.f64 (pow.f64 h 4) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) 2))) (/.f64 (fma.f64 (pow.f64 g 4) (.f64 3/8 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3))) (.f64 (.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) -3/4) (pow.f64 g 4))) a)) (.f64 (.f64 -1/12 (cbrt.f64 (pow.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)) 2))) (/.f64 (pow.f64 g 4) (.f64 (+.f64 g (cbrt.f64 (.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) a))))))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (/.f64 (+.f64 g (cbrt.f64 (*.f64 (pow.f64 -1 3/2) (pow.f64 (/.f64 -1 h) -3)))) a))))))

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.0b	(-.f64 (.f64 g g) (.f64 h h))
	8.3b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
✓	26.8b	(sqrt.f64 (*.f64 h (neg.f64 h)))
	28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 183 to 44 computations (76% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

289×	`pow1_binary64`
282×	`add-sqr-sqrt_binary64`
274×	`*-un-lft-identity_binary64`
270×	`add-log-exp_binary64`
269×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	104	1
2	1333	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 h (neg.f64 h)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 0)))) (#(struct:change #<rule egg-rr> (2) ((x . h)))))

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

38×	`fma-def_binary64`
9×	`sub-neg_binary64`
6×	`+-commutative_binary64`
4×	`*-commutative_binary64`
4×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	80
1	11	80
2	24	80
3	28	80
4	32	80
5	50	80
6	72	80
7	83	80
8	95	80
9	120	80

Stop Event

1×

saturated

Counts

13 → 4

Calls

Call 1

Inputs
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(.f64 -1 (.f64 (sqrt.f64 -1) h))

Outputs
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(*.f64 (sqrt.f64 -1) h)
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 (sqrt.f64 -1) h))
(*.f64 (sqrt.f64 -1) (neg.f64 h))

eval1.7s (16.8%)

Compiler: Compiled 66964 to 36227 computations (45.9% saved)

prune513.0ms (5%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	1333	32	1365
Fresh	15	1	16
Picked	1	0	1
Done	4	1	5
Total	1353	34	1387

Error

10.9b

Counts

1387 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	52.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g 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))))
▶	62.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	48.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/6) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 -1/2 a))))
▶	58.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3)) (/.f64 -1/2 a))))
	46.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (.f64 g -2))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	32.3b	(+.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))))
	18.4b	(+.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)))))
	53.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (cbrt.f64 g) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))
	48.1b	(+.f64 (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) a))) 1) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	52.6b	(+.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))))
	61.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.f64 -1/2 a))))
	48.4b	(+.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 (neg.f64 g)) (/.f64 -1/2 a))))
▶	51.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
	61.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (/.f64 -1/2 a))))
	47.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))
	48.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.f64 -1/2 a))))
	47.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (cbrt.f64 (/.f64 g a))))
	32.4b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.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))))
▶	17.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
	47.3b	(+.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))))
✓	35.4b	(+.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))))
	59.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))
	49.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (*.f64 h h))) 1/2))) (/.f64 -1/2 a))))
	49.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (/.f64 -1/2 a))))
	46.2b	(+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)) 2))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	49.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (.f64 (cbrt.f64 g) g) (.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))
	54.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) 1/3)) (/.f64 -1/2 a))))
▶	48.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) g)) (/.f64 -1/2 a))))
	54.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (exp.f64 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) (/.f64 -1/2 a))))
	54.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 3) (/.f64 -1/2 a))))
	43.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
	49.2b	(+.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))))
	57.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (neg.f64 g))) (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 (-.f64 (-.f64 (.f64 g g) (.f64 h h)) (.f64 g g)) (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))

Compiler

Compiled 2010 to 1336 computations (33.5% saved)

localize27.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (+.f64 g g) (/.f64 -1/2 a))
✓	16.4b	(cbrt.f64 (*.f64 (+.f64 g g) (/.f64 -1/2 a)))

Compiler

Compiled 66 to 34 computations (48.5% saved)

series8.0ms (0.1%)

Counts

2 → 24

Calls

12 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

825×	`pow1_binary64`
776×	`add-log-exp_binary64`
774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
760×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	176	16
2	2428	16

Stop Event

1×	node limit

Counts

2 → 61

Calls

Call 1

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

Outputs

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

simplify16.0ms (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

85 → 63

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)

localize28.0ms (0.3%)

Compiler: Compiled 72 to 35 computations (51.4% saved)

localize50.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.0b	(-.f64 (.f64 g g) (.f64 h h))
✓	7.4b	(.f64 (/.f64 1/2 g) (.f64 h h))
	9.8b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
	28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 167 to 66 computations (60.5% saved)

series6.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	h	@	0	(.f64 (/.f64 1/2 g) (.f64 h h))
1.0ms	g	@	0	(.f64 (/.f64 1/2 g) (.f64 h h))
1.0ms	h	@	inf	(.f64 (/.f64 1/2 g) (.f64 h h))
1.0ms	g	@	inf	(.f64 (/.f64 1/2 g) (.f64 h h))
1.0ms	g	@	-inf	(.f64 (/.f64 1/2 g) (.f64 h h))

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

710×	`pow1_binary64`
660×	`add-log-exp_binary64`
660×	`log1p-expm1-u_binary64`
660×	`expm1-log1p-u_binary64`
645×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	1851	10

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(.f64 (/.f64 1/2 g) (.f64 h h))

Outputs

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

simplify122.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

715×	`associate-/l/_binary64`
524×	`associate-l_binary64`
508×	`*-commutative_binary64`
470×	`sqr-pow_binary64`
446×	`associate-*l/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	16	240
2	30	240
3	61	240
4	166	240
5	608	240
6	2641	240
7	3711	240
8	3921	240
9	4141	240
10	4369	240
11	4706	240
12	6267	240
13	6934	240
14	7732	240

Stop Event

1×	node limit

Counts

47 → 25

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))
(*.f64 1/2 (/.f64 (pow.f64 h 2) g))

Outputs
(*.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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 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 h (/.f64 h g)))

localize35.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 a)
	26.8b	(sqrt.f64 (*.f64 h (neg.f64 h)))

Compiler

Compiled 120 to 39 computations (67.5% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite89.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

382×	`expm1-udef_binary64`
382×	`log1p-udef_binary64`
271×	`associate-r_binary64`
247×	`pow1_binary64`
240×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	57	3
2	641	3
3	6851	3

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

Inputs
(cbrt.f64 a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cbrt.f64 a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cbrt.f64 a) 1) 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)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (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 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 4)))) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 a) 1/6) (*.f64 (pow.f64 (cbrt.f64 a) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/12) (pow.f64 a 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/12) (*.f64 (pow.f64 a 1/12) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 a 1/4) (pow.f64 a 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 a 5/6)) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 4))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 5)) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 4))) 2) 1/3) (cbrt.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 a 5/6) 1/3) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 a 1/6) (cbrt.f64 (cbrt.f64 a))) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 a 4))))) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 a))) 2)) (cbrt.f64 (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 a) 1/6)) (pow.f64 (cbrt.f64 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 (cbrt.f64 a) 1) 3) 1) (+.f64 (*.f64 (+.f64 (cbrt.f64 a) 1) (+.f64 (cbrt.f64 a) 1)) (+.f64 1 (+.f64 (cbrt.f64 a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 (cbrt.f64 a) 1) (+.f64 (cbrt.f64 a) 1)) 1) (+.f64 (+.f64 (cbrt.f64 a) 1) 1))))) (#(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 (*.f64 a a) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 a) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 a))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/6 (log.f64 a)) 2))))))

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

47 → 47

Calls

Call 1

Inputs

Outputs

localize147.0ms (1.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
	26.8b	(sqrt.f64 (*.f64 h (neg.f64 h)))

Compiler

Compiled 142 to 53 computations (62.7% saved)

eval174.0ms (1.7%)

Compiler: Compiled 11308 to 6023 computations (46.7% saved)

prune114.0ms (1.1%)

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	308	15	323
Fresh	8	20	28
Picked	1	0	1
Done	1	4	5
Total	318	39	357

Error

4.9b

Counts

357 → 39

Alt Table

Click to see full alt table

Status	Error	Program
	52.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g 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))))
✓	62.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	51.9b	(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) a)))) 3) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (*.f64 h h)) g)) (/.f64 -1/2 a))))
	43.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (pow.f64 (/.f64 (.f64 1 g) a) 1/3) (.f64 (cbrt.f64 -1/2) (cbrt.f64 2))))
▶	63.3b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (+.f64 g g) (cbrt.f64 a)))
▶	32.3b	(+.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))))
▶	18.4b	(+.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)))))
	53.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (cbrt.f64 g) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))
	33.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g 0)) -1/2)) (cbrt.f64 a)))
	52.6b	(+.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))))
	61.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.f64 -1/2 a))))
▶	48.4b	(+.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 (neg.f64 g)) (/.f64 -1/2 a))))
	61.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (/.f64 -1/2 a))))
	47.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))
	49.2b	(+.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))))
	49.1b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (*.f64 h h)) g)) (/.f64 -1/2 a))))
	59.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))) -1/2)) (.f64 (pow.f64 (cbrt.f64 a) 1/6) (*.f64 (pow.f64 (cbrt.f64 a) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))
	59.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 a 1/3)))
	48.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.f64 -1/2 a))))
	47.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (cbrt.f64 (/.f64 g a))))
	32.4b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.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))))
✓	17.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
	48.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (.f64 (.f64 2 (pow.f64 g 3)) -1/2) (.f64 (fma.f64 g g 0) a))))
✓	35.4b	(+.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))))
	59.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))
	49.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (*.f64 h h))) 1/2))) (/.f64 -1/2 a))))
	60.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
	20.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (fma.f64 (/.f64 1/2 g) (.f64 h h) (neg.f64 g)) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (*.f64 h h)) g)) (/.f64 -1/2 a))))
	54.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) 1/3)) (/.f64 -1/2 a))))
	49.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (*.f64 h h)) g)) (/.f64 -1/2 a))))
	62.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))))
▶	17.9b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
	46.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (.f64 (/.f64 -1/2 a) (*.f64 2 (pow.f64 g 3))) (fma.f64 g g 0))))
✓	48.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) g)) (/.f64 -1/2 a))))
	54.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (exp.f64 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) (/.f64 -1/2 a))))
	54.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 3) (/.f64 -1/2 a))))
	53.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 g (hypot.f64 g 0)) 3)) (/.f64 -1/2 a))))
	20.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) g)) (/.f64 -1/2 a))))
	49.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (-.f64 (-.f64 (.f64 g g) (.f64 h h)) (.f64 g g)) (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))

Compiler

Compiled 2184 to 1483 computations (32.1% saved)

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.4b	(cbrt.f64 (/.f64 (neg.f64 g) a))

Compiler

Compiled 52 to 22 computations (57.7% saved)

series3.0ms (0%)

Counts

1 → 0

Calls

6 calls:

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

rewrite47.0ms (0.5%)

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	1798	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))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 g a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.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 expm1.f64 (log1p.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))))))))

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

26 → 26

Calls

Call 1

Inputs

Outputs

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 53 to 22 computations (58.5% saved)

series12.0ms (0.1%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(/.f64 (+.f64 g g) (cbrt.f64 a))
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))

rewrite49.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
612×	`add-log-exp_binary64`
611×	`log1p-expm1-u_binary64`
611×	`expm1-log1p-u_binary64`
597×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	131	9
2	1991	9

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

Outputs

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

simplify122.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

836×	`cube-prod_binary64`
818×	`unswap-sqr_binary64`
629×	`sqr-pow_binary64`
498×	`unpow3_binary64`
492×	`cube-mult_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	144
1	21	144
2	39	144
3	82	144
4	216	144
5	709	144
6	940	144
7	1266	144
8	2551	144
9	2655	144
10	2817	144
11	3027	144
12	3339	144
13	3770	144
14	4335	144
15	5018	144
16	5879	144
17	6544	144
18	7103	144
19	7663	144

Stop Event

1×	node limit

Counts

43 → 33

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 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 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 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 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 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 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 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 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 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 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 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 2 g))

localize33.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a)))
✓	0.5b	(.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))))
✓	1.0b	(cbrt.f64 2)
✓	16.4b	(cbrt.f64 (/.f64 g a))

Compiler

Compiled 76 to 42 computations (44.7% saved)

series67.0ms (0.7%)

Counts

4 → 0

Calls

18 calls:

Time	Variable		Point	Expression
54.0ms	g	@	0	(.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))))
1.0ms	g	@	-inf	(.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))))
1.0ms	g	@	-inf	(cbrt.f64 (/.f64 g a))
1.0ms	g	@	inf	(.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))))
1.0ms	a	@	0	(.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))))

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

516×	`log-prod_binary64`
477×	`prod-exp_binary64`
392×	`exp-prod_binary64`
346×	`pow-prod-down_binary64`
264×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	24
1	223	24
2	2609	24

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

211 → 155

Calls

Call 1

Inputs

Outputs

localize65.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	4.0b	(-.f64 (.f64 g g) (.f64 h h))
	13.2b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (*.f64 h h)) 1/4) 2) g)))
	17.1b	(-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g)
	29.4b	(pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4)

Compiler

Compiled 148 to 65 computations (56.1% saved)

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.6b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	4.0b	(-.f64 (.f64 g g) (.f64 h h))
	8.3b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
	28.5b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

Compiler

Compiled 156 to 39 computations (75% saved)

series3.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite70.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

747×	`fma-def_binary64`
443×	`log-prod_binary64`
325×	`pow-prod-down_binary64`
325×	`fma-neg_binary64`
248×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	190	15
2	2894	14

Stop Event

1×	node limit

Counts

1 → 93

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

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	616
1	263	601
2	837	587
3	4188	581
4	7375	579

Stop Event

1×	node limit

Counts

117 → 126

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

eval744.0ms (7.3%)

Compiler: Compiled 42279 to 21889 computations (48.2% saved)

prune230.0ms (2.3%)

Pruning

53 alts after pruning (47 fresh and 6 done)

	Pruned	Kept	Total
New	1049	29	1078
Fresh	12	18	30
Picked	1	0	1
Done	2	6	8
Total	1064	53	1117

Error

1.3b

Counts

1117 → 53

Alt Table

Click to see full alt table

Status	Error	Program
	43.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 g a) 2)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 g a) 2)))))))
	40.2b	(+.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/6) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (neg.f64 g)) 1/2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	3.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 (cbrt.f64 g) (cbrt.f64 a)))))
	2.3b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 g) (cbrt.f64 (neg.f64 a))))
	43.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (/.f64 g a) 2))))))
	18.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3) (cbrt.f64 (/.f64 g a)))))
	3.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))))
✓	63.3b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (+.f64 g g) (cbrt.f64 a)))
	43.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (pow.f64 (*.f64 (/.f64 g a) 2) 1/3)))
	17.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (cbrt.f64 (/.f64 a g))))))
✓	18.4b	(+.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)))))
	18.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 4 1/6) (cbrt.f64 (/.f64 g a)))))
	48.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (.f64 g g) 1/4) 2) g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	49.1b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	43.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 g a) 2)) 1/3))))
	62.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) 0)) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	61.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.f64 -1/2 a))))
	52.6b	(+.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))))
	63.2b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 1 (cbrt.f64 (/.f64 a g))))
	18.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 g a) 2))) 3)))
	44.6b	(+.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) g) 1/2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	47.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))
	61.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (.f64 -1/2 (/.f64 h (/.f64 g h))))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	49.2b	(+.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))))
	59.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 a 1/3)))
	48.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.f64 -1/2 a))))
	3.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))))
	32.4b	(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.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))))
✓	17.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (+.f64 g g) (/.f64 -1/2 a))))
	48.8b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (.f64 (.f64 2 (pow.f64 g 3)) -1/2) (.f64 (fma.f64 g g 0) a))))
✓	35.4b	(+.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))))
	32.4b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 g a) 2))))))
	20.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) g)) (/.f64 -1/2 a))))
	49.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (/.f64 (-.f64 (-.f64 (.f64 g g) (.f64 h h)) (.f64 g g)) (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	35.7b	(+.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) g) 1/2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	17.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 g a) 2))))
	43.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 g a) 1/3))))
	20.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (fma.f64 (/.f64 1/2 g) (.f64 h h) (neg.f64 g)) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (*.f64 h h)) g)) (/.f64 -1/2 a))))
	60.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (+.f64 g g) (cbrt.f64 (/.f64 -1/2 a))))
	47.7b	(+.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g) 1/2)) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	54.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) 1/3)) (/.f64 -1/2 a))))
	60.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (neg.f64 (.f64 2 (/.f64 g (cbrt.f64 a)))))
	18.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 2))))) (cbrt.f64 (/.f64 g a)))))
	62.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))))
✓	17.9b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (neg.f64 g) a)))
	46.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (.f64 (/.f64 -1/2 a) (*.f64 2 (pow.f64 g 3))) (fma.f64 g g 0))))
✓	48.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) g)) (/.f64 -1/2 a))))
	54.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (exp.f64 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) (/.f64 -1/2 a))))
	51.9b	(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) (/.f64 1/2 a)))) 3) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	51.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 g a) 2))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 g a) 2)))))))
	54.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 3) (/.f64 -1/2 a))))
	63.2b	(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 g a)))
	53.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 g (hypot.f64 g 0)) 3)) (/.f64 -1/2 a))))

Compiler

Compiled 1456 to 1015 computations (30.3% saved)

regimes566.0ms (5.6%)

Counts

99 → 1

Calls

Call 1

Inputs
(+.f64 (cbrt.f64 (*.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 g 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) (-.f64 g g))) (/.f64 1 (cbrt.f64 (/.f64 a g))))
(+.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))) (neg.f64 (.f64 2 (/.f64 g (cbrt.f64 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) (-.f64 g g))) (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 (/.f64 1/2 g) (.f64 h h)) (/.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 (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 g) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) g)) (/.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 g g))) (.f64 (cbrt.f64 -1/2) (cbrt.f64 (*.f64 (/.f64 g a) 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (pow.f64 (*.f64 (/.f64 g a) 2) 1/3)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (neg.f64 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 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))) (cbrt.f64 (.f64 (+.f64 g g) (/.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 (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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) (/.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (.f64 h h)) g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (fma.f64 (/.f64 1/2 g) (.f64 h h) (neg.f64 g)) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (*.f64 h h)) g)) (/.f64 -1/2 a))))
(+.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) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 4 1/6) (cbrt.f64 (/.f64 g a)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (pow.f64 (/.f64 g a) 1/3))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g 0)) -1/2)) (cbrt.f64 a)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g 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 g g))) (.f64 (cbrt.f64 -1/2) (exp.f64 (.f64 (log.f64 (.f64 (/.f64 g a) 2)) 1/3))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.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 (pow.f64 (pow.f64 (.f64 g g) 1/4) 2) g))) (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 (.f64 2 (pow.f64 g 3)) -1/2) (.f64 (fma.f64 g g 0) a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (/.f64 (.f64 (/.f64 -1/2 a) (*.f64 2 (pow.f64 g 3))) (fma.f64 g g 0))))
(+.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 g 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 g g))) (cbrt.f64 (.f64 (+.f64 g (exp.f64 (.f64 (log.f64 (-.f64 (.f64 g g) (*.f64 h h))) 1/2))) (/.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 (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 (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 (-.f64 (-.f64 (.f64 g g) (.f64 h h)) (.f64 g g)) (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h 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 g 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 g g))) (.f64 (cbrt.f64 -1/2) (/.f64 (*.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 g a) 2))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 g a) 2))) 3)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (cbrt.f64 2) (/.f64 1 (/.f64 (cbrt.f64 a) (cbrt.f64 g))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 g (hypot.f64 g 0)) 3)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))) (cbrt.f64 (*.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 a 1/3)))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (*.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (cbrt.f64 (/.f64 g 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))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (/.f64 -1/2 a))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (*.f64 h h)) g)) (/.f64 -1/2 a))))
(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (*.f64 h h)) g)) (/.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 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.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 (.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) a))) 1) (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 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/6) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.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 (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 (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) (-.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 g g))) (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (*.f64 (/.f64 g a) 2))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 2)) 3) (cbrt.f64 (/.f64 g a)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (exp.f64 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (cbrt.f64 (pow.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) 3)) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (cbrt.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 3) (/.f64 -1/2 a))))
(+.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) (/.f64 1/2 a)))) 3) (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 (exp.f64 (.f64 (.f64 3 (log.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))) 1/3)) (/.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 (/.f64 -1/2 a)) (cbrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))))))
(+.f64 (.f64 (cbrt.f64 (/.f64 1/2 a)) (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (cbrt.f64 a)))
(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
(+.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2)) 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 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 1/2 (/.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g) a)))) 3) (cbrt.f64 (.f64 (+.f64 g (-.f64 (.f64 (/.f64 1/2 g) (*.f64 h h)) g)) (/.f64 -1/2 a))))
(+.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g) (/.f64 1/2 a)) 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))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (/.f64 -1/2 a))))
(+.f64 (/.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2) 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 (/.f64 (cbrt.f64 (.f64 (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) 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 g g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (.f64 (cbrt.f64 g) g) (.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 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 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 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 (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 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))) (sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) (/.f64 1/2 a)) 2))))
(+.f64 (/.f64 (cbrt.f64 (.f64 (fma.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/6) (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (neg.f64 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 g g))) (cbrt.f64 (.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (cbrt.f64 g) (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 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 (sqrt.f64 (fma.f64 (pow.f64 (cbrt.f64 g) 2) (.f64 (cbrt.f64 g) g) (.f64 h (neg.f64 h))))) (/.f64 -1/2 a))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 g a) 2))))) (sqrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 g a) 2)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 g a) 2)))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 g a) 2)))))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))) -1/2)) (.f64 (pow.f64 (cbrt.f64 a) 1/6) (*.f64 (pow.f64 (cbrt.f64 a) 1/6) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (.f64 (cbrt.f64 -1/2) (*.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 2))))) (cbrt.f64 (/.f64 g a)))))
(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h))))) -1/2)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))))

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

Calls

7 calls:

93.0ms	a
87.0ms	(/.f64 1 (*.f64 2 a))
80.0ms	h
79.0ms	(*.f64 2 a)
67.0ms	(+.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)))))))

Results

Error	Segments	Branch
2.3b	1	`g`
2.3b	1	`h`
2.3b	1	`a`
2.3b	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)))))))`
2.3b	1	`(/.f64 1 (*.f64 2 a))`
2.3b	1	`(*.f64 2 a)`
2.3b	1	`(*.f64 h h)`

Compiler

Compiled 2715 to 1291 computations (52.4% saved)

regimes52.0ms (0.5%)

Accuracy

Total -45.5b remaining (-254.7%)

Threshold costs -45.5b (-254.7%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

16.0ms	g
15.0ms	h
9.0ms	a
5.0ms	(*.f64 h h)

Results

Error	Segments	Branch
17.9b	1	`g`
17.9b	1	`h`
17.9b	1	`a`
17.9b	1	`(*.f64 h h)`

Compiler

Compiled 231 to 137 computations (40.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`+-commutative_binary64`
4×	`*-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	20	66
1	32	66
2	39	66
3	43	66
4	44	66

Stop Event

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

Compiler

Compiled 51 to 36 computations (29.4% saved)

soundness326.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

729×	`fma-neg_binary64`
529×	`unsub-neg_binary64`
480×	`div-sub_binary64`
394×	`times-frac_binary64`
355×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	52
1	54	50
2	154	50
3	479	48
4	1288	48
5	2645	48
6	3919	48
7	5301	48
8	6121	48
9	6715	48
10	7789	48
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
1×	node limit

Compiler

Compiled 568 to 336 computations (40.8% saved)

end64.0ms (0.6%)

Compiler: Compiled 45 to 27 computations (40% saved)

Details

analyze309.0ms (3%)

sample2.0s (19.3%)

preprocess68.0ms (0.7%)

simplify122.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize36.0ms (0.3%)

series36.0ms (0.3%)

rewrite98.0ms (1%)

simplify93.0ms (0.9%)

eval192.0ms (1.9%)

prune89.0ms (0.9%)

localize63.0ms (0.6%)

series44.0ms (0.4%)

rewrite100.0ms (1%)

simplify129.0ms (1.3%)

localize88.0ms (0.9%)

series2.0ms (0%)

rewrite64.0ms (0.6%)

simplify63.0ms (0.6%)

localize43.0ms (0.4%)

series48.0ms (0.5%)

rewrite87.0ms (0.9%)

simplify105.0ms (1%)

localize76.0ms (0.7%)

series43.0ms (0.4%)

rewrite99.0ms (1%)

simplify141.0ms (1.4%)

localize48.0ms (0.5%)

series2.0ms (0%)

rewrite42.0ms (0.4%)

simplify13.0ms (0.1%)

eval1.7s (16.8%)

prune513.0ms (5%)

localize27.0ms (0.3%)

series8.0ms (0.1%)

rewrite66.0ms (0.6%)

simplify16.0ms (0.2%)

localize28.0ms (0.3%)

localize50.0ms (0.5%)

series6.0ms (0.1%)

rewrite50.0ms (0.5%)

simplify122.0ms (1.2%)

localize35.0ms (0.3%)

series2.0ms (0%)

rewrite89.0ms (0.9%)

simplify7.0ms (0.1%)

localize147.0ms (1.4%)

eval174.0ms (1.7%)

prune114.0ms (1.1%)

localize20.0ms (0.2%)

series3.0ms (0%)

rewrite47.0ms (0.5%)

simplify7.0ms (0.1%)

localize20.0ms (0.2%)

series12.0ms (0.1%)

rewrite49.0ms (0.5%)

simplify122.0ms (1.2%)

localize33.0ms (0.3%)

series67.0ms (0.7%)

rewrite85.0ms (0.8%)

simplify9.0ms (0.1%)

localize65.0ms (0.6%)

localize43.0ms (0.4%)

series3.0ms (0%)

rewrite70.0ms (0.7%)

simplify69.0ms (0.7%)

eval744.0ms (7.3%)

prune230.0ms (2.3%)

regimes566.0ms (5.6%)

regimes52.0ms (0.5%)

simplify10.0ms (0.1%)

soundness326.0ms (3.2%)

end64.0ms (0.6%)

Profiling