Details

analyze1.3s (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
6.2%	74.9%	18.9%	6
9.4%	71.8%	18.9%	7
14%	64%	22%	8
20.3%	46.8%	32.9%	9
22.6%	44.5%	32.9%	10
27.7%	37.1%	35.3%	11
32%	26.9%	41.1%	12
34%	24.9%	41.1%	13
37.5%	20%	42.5%	14

Compiler

Compiled 41 to 24 computations (41.5% saved)

sample5.1s (24.6%)

Results

4.6s	7795×	body	256	valid
363.0ms	1274×	body	128	invalid
152.0ms	461×	body	128	valid

Compiler

Compiled 82 to 48 computations (41.5% saved)

preprocess56.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	208
1	165	200
2	545	200
3	1762	192
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

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

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

Compiler

Compiled 40 to 23 computations (42.5% saved)

simplify38.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

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

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

prune6.0ms (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

36.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	36.3b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))

Compiler

Compiled 139 to 70 computations (49.6% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.6b	(-.f64 (.f64 g g) (.f64 h h))
✓	8.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
✓	8.8b	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
✓	28.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series450.0ms (2.2%)

Counts

4 → 60

Calls

30 calls:

Time	Variable		Point	Expression
80.0ms	h	@	0	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
39.0ms	g	@	0	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
34.0ms	h	@	-inf	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
33.0ms	h	@	inf	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))
31.0ms	g	@	inf	(cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a)))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	68
1	408	68

Stop Event

1×	node limit

Counts

4 → 120

Calls

Call 1

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

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

simplify91.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

854×	`times-frac_binary64`
533×	`cancel-sign-sub-inv_binary64`
274×	`fma-neg_binary64`
184×	`associate-r_binary64`
138×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2269
1	639	2190
2	2329	2168

Stop Event

1×	node limit

Counts

180 → 188

Calls

Call 1

Inputs
(sqrt.f64 (neg.f64 (pow.f64 h 2)))
(+.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) (*.f64 1/2 (/.f64 (pow.f64 g 2) (sqrt.f64 (neg.f64 (pow.f64 h 2))))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) (.f64 1/2 (/.f64 (pow.f64 g 2) (sqrt.f64 (neg.f64 (pow.f64 h 2)))))) (.f64 1/8 (/.f64 (pow.f64 g 4) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 3))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 g 6) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 5))) (.f64 1/2 (/.f64 (pow.f64 g 2) (sqrt.f64 (neg.f64 (pow.f64 h 2))))))) (*.f64 1/8 (/.f64 (pow.f64 g 4) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 3))))
g
(-.f64 g (*.f64 1/2 (/.f64 (pow.f64 h 2) g)))
(-.f64 g (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(-.f64 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 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3))))))
(*.f64 -1 g)
(-.f64 (*.f64 1/2 (/.f64 (pow.f64 h 2) g)) g)
(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) g)
(-.f64 (+.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))))) g)
g
(-.f64 g (*.f64 1/2 (/.f64 (pow.f64 h 2) g)))
(-.f64 g (+.f64 (.f64 1/2 (/.f64 (pow.f64 h 2) g)) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))))
(-.f64 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 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 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (.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 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.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 1/8 (/.f64 (pow.f64 g 4) (*.f64 (pow.f64 (sqrt.f64 -1) 3) (pow.f64 h 3)))))
(.f64 -1 (.f64 (sqrt.f64 -1) h))
(neg.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.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 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (*.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 1/2 (/.f64 (pow.f64 g 2) (.f64 (sqrt.f64 -1) h))) (+.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 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) a) 1/3) (cbrt.f64 -1/2))
(+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) a) 1/3)) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 2) (pow.f64 a 7))) 1/9))))
(-.f64 (+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 g 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 5) a)) 1/3))) (+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) a) 1/3)) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 2) (pow.f64 a 7))) 1/9))))) (.f64 1/9 (.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 g 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 7) (pow.f64 a 11))) 1/9))))
(-.f64 (+.f64 (.f64 5/81 (.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 g 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 4) (pow.f64 a 5))) 1/3))) (+.f64 (.f64 1/6 (.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 g 2)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 5) a)) 1/3))) (+.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) a) 1/3)) (.f64 1/3 (.f64 (.f64 (cbrt.f64 -1/2) g) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 2) (pow.f64 a 7))) 1/9)))))) (+.f64 (.f64 1/9 (.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 g 3)) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 20) (pow.f64 a 7))) 1/9))) (.f64 1/9 (.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 g 2)) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 7) (pow.f64 a 11))) 1/9)))))
(.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (pow.f64 (/.f64 g a) 1/3))
(-.f64 (.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (pow.f64 (/.f64 g a) 1/3)) (.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 (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (pow.f64 (/.f64 g a) 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 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 (.f64 1/648 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 6)) (pow.f64 (cbrt.f64 2) 8)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 17))) 1/3))) (.f64 (.f64 (cbrt.f64 -1/2) (cbrt.f64 2)) (pow.f64 (/.f64 g a) 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 (.f64 13/432 (.f64 (/.f64 (.f64 (cbrt.f64 -1/2) (pow.f64 h 6)) (pow.f64 (cbrt.f64 2) 2)) (pow.f64 (/.f64 1 (.f64 a (pow.f64 g 17))) 1/3))) (.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 (sqrt.f64 (neg.f64 (pow.f64 h 2))) a) 1/3) (cbrt.f64 1/2))
(-.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) a) 1/3) (cbrt.f64 1/2)) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 2) (pow.f64 a 7))) 1/9) (*.f64 (cbrt.f64 1/2) g))))
(-.f64 (+.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) a) 1/3) (cbrt.f64 1/2)) (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 5) a)) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 g 2))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 2) (pow.f64 a 7))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 7) (pow.f64 a 11))) 1/9) (*.f64 (cbrt.f64 1/2) (pow.f64 g 2))))))
(-.f64 (+.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) a) 1/3) (cbrt.f64 1/2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 5) a)) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 g 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 20) (pow.f64 a 7))) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 3)))))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 4) (pow.f64 a 5))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 g 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 2) (pow.f64 a 7))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 7) (pow.f64 a 11))) 1/9) (*.f64 (cbrt.f64 1/2) (pow.f64 g 2)))))))
(*.f64 -1 (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(pow.f64 g 2)
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(pow.f64 g 2)
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(pow.f64 g 2)
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(*.f64 -1 (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(*.f64 -1 (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))

Outputs
(sqrt.f64 (neg.f64 (pow.f64 h 2)))
(sqrt.f64 (neg.f64 (*.f64 h h)))
(sqrt.f64 (*.f64 h (neg.f64 h)))
(+.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) (*.f64 1/2 (/.f64 (pow.f64 g 2) (sqrt.f64 (neg.f64 (pow.f64 h 2))))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 h h))) (.f64 1/2 (/.f64 (.f64 g g) (sqrt.f64 (neg.f64 (.f64 h h))))))
(fma.f64 1/2 (/.f64 (.f64 g g) (sqrt.f64 (.f64 h (neg.f64 h)))) (sqrt.f64 (*.f64 h (neg.f64 h))))
(fma.f64 1/2 (/.f64 g (/.f64 (sqrt.f64 (.f64 h (neg.f64 h))) g)) (sqrt.f64 (.f64 h (neg.f64 h))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) (.f64 1/2 (/.f64 (pow.f64 g 2) (sqrt.f64 (neg.f64 (pow.f64 h 2)))))) (.f64 1/8 (/.f64 (pow.f64 g 4) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 3))))
(+.f64 (+.f64 (sqrt.f64 (neg.f64 (.f64 h h))) (.f64 1/2 (/.f64 (.f64 g g) (sqrt.f64 (neg.f64 (.f64 h h)))))) (.f64 -1/8 (/.f64 (pow.f64 g 4) (pow.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 3))))
(+.f64 (sqrt.f64 (.f64 h (neg.f64 h))) (fma.f64 1/2 (/.f64 (.f64 g g) (sqrt.f64 (.f64 h (neg.f64 h)))) (/.f64 (.f64 -1/8 (pow.f64 g 4)) (pow.f64 (sqrt.f64 (*.f64 h (neg.f64 h))) 3))))
(+.f64 (sqrt.f64 (.f64 h (neg.f64 h))) (fma.f64 1/2 (/.f64 g (/.f64 (sqrt.f64 (.f64 h (neg.f64 h))) g)) (/.f64 (.f64 -1/8 (pow.f64 g 4)) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 3))))
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 g 6) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 5))) (.f64 1/2 (/.f64 (pow.f64 g 2) (sqrt.f64 (neg.f64 (pow.f64 h 2))))))) (*.f64 1/8 (/.f64 (pow.f64 g 4) (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 3))))
(+.f64 (sqrt.f64 (neg.f64 (.f64 h h))) (-.f64 (fma.f64 1/16 (/.f64 (pow.f64 g 6) (pow.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 5)) (.f64 1/2 (/.f64 (.f64 g g) (sqrt.f64 (neg.f64 (.f64 h h)))))) (.f64 1/8 (/.f64 (pow.f64 g 4) (pow.f64 (sqrt.f64 (neg.f64 (*.f64 h h))) 3)))))
(+.f64 (sqrt.f64 (.f64 h (neg.f64 h))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 g 6) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 5))) (fma.f64 1/2 (/.f64 (.f64 g g) (sqrt.f64 (.f64 h (neg.f64 h)))) (/.f64 (.f64 -1/8 (pow.f64 g 4)) (pow.f64 (sqrt.f64 (*.f64 h (neg.f64 h))) 3)))))
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 g (/.f64 (sqrt.f64 (.f64 h (neg.f64 h))) g)) (sqrt.f64 (.f64 h (neg.f64 h)))) (/.f64 (.f64 1/16 (pow.f64 g 6)) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 5))) (/.f64 (.f64 -1/8 (pow.f64 g 4)) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 3)))
g
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g
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(.f64 -1 (.f64 (sqrt.f64 -1) h))
(neg.f64 (*.f64 h (sqrt.f64 -1)))
(*.f64 (sqrt.f64 -1) (neg.f64 h))
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(*.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) a) 1/3) (cbrt.f64 -1/2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 h h))) a)) (cbrt.f64 -1/2))
(.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 h (neg.f64 h))) a)) (cbrt.f64 -1/2))
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(-.f64 (+.f64 (.f64 (pow.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) a) 1/3) (cbrt.f64 1/2)) (+.f64 (.f64 1/6 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 5) a)) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 g 2)))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 20) (pow.f64 a 7))) 1/9) (.f64 (cbrt.f64 1/2) (pow.f64 g 3)))))) (+.f64 (.f64 5/81 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 4) (pow.f64 a 5))) 1/3) (.f64 (cbrt.f64 1/2) (pow.f64 g 3)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 2) (pow.f64 a 7))) 1/9) (.f64 (cbrt.f64 1/2) g))) (.f64 1/9 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (pow.f64 h 2))) 7) (pow.f64 a 11))) 1/9) (*.f64 (cbrt.f64 1/2) (pow.f64 g 2)))))))
(-.f64 (fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (neg.f64 (.f64 h h))) a)) (cbrt.f64 1/2) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 5) a))) (.f64 (.f64 g g) (cbrt.f64 1/2))) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 20))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 20))) 1/18)) (.f64 (pow.f64 g 3) (cbrt.f64 1/2)))))) (fma.f64 5/81 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 4) (pow.f64 a 5)))) (.f64 (pow.f64 g 3) (cbrt.f64 1/2))) (fma.f64 1/3 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 2))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 2))) 1/18)) (.f64 g (cbrt.f64 1/2))) (.f64 1/9 (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 7) (pow.f64 a 11))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (neg.f64 (.f64 h h))) 7) (pow.f64 a 11))) 1/18)) (.f64 (.f64 g g) (cbrt.f64 1/2)))))))
(-.f64 (fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 h (neg.f64 h))) a)) (cbrt.f64 1/2) (fma.f64 1/6 (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 5) a))) (.f64 g (.f64 g (cbrt.f64 1/2)))) (.f64 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 20))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 20))) 1/18)) (.f64 (.f64 (pow.f64 g 3) (cbrt.f64 1/2)) 1/9)))) (fma.f64 5/81 (.f64 (pow.f64 g 3) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 4) (pow.f64 a 5)))) (cbrt.f64 1/2))) (fma.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (.f64 h (neg.f64 h)))) 1/18) (pow.f64 (/.f64 1 (.f64 (pow.f64 a 7) (.f64 h (neg.f64 h)))) 1/18))) (.f64 g (cbrt.f64 1/2)) (.f64 1/9 (.f64 (.f64 g g) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 11)) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 11)) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 7)) 1/18)) (cbrt.f64 1/2)))))))
(-.f64 (fma.f64 (cbrt.f64 (/.f64 (sqrt.f64 (.f64 h (neg.f64 h))) a)) (cbrt.f64 1/2) (fma.f64 1/9 (.f64 (.f64 (.f64 (pow.f64 g 3) (cbrt.f64 1/2)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 20)) (pow.f64 a 7)) 1/18)) (pow.f64 (/.f64 (/.f64 1 (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 20)) (pow.f64 a 7)) 1/18)) (.f64 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 5))) (.f64 (.f64 g (.f64 g (cbrt.f64 1/2))) 1/6)))) (fma.f64 5/81 (.f64 (pow.f64 g 3) (.f64 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 h 4) (pow.f64 a 5)))) (cbrt.f64 1/2))) (fma.f64 1/3 (.f64 g (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (.f64 h (neg.f64 h))) (pow.f64 a 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (.f64 h (neg.f64 h))) (pow.f64 a 7)) 1/18)) (cbrt.f64 1/2))) (.f64 (.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 11)) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 7)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 a 11)) (pow.f64 (sqrt.f64 (.f64 h (neg.f64 h))) 7)) 1/18)) (.f64 (.f64 g (.f64 g (cbrt.f64 1/2))) 1/9)))))
(*.f64 -1 (pow.f64 h 2))
(neg.f64 (*.f64 h h))
(*.f64 h (neg.f64 h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(pow.f64 g 2)
(*.f64 g g)
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(pow.f64 g 2)
(*.f64 g g)
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(pow.f64 g 2)
(*.f64 g g)
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(*.f64 -1 (pow.f64 h 2))
(neg.f64 (*.f64 h h))
(*.f64 h (neg.f64 h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(*.f64 -1 (pow.f64 h 2))
(neg.f64 (*.f64 h h))
(*.f64 h (neg.f64 h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))
(-.f64 (pow.f64 g 2) (pow.f64 h 2))
(-.f64 (.f64 g g) (.f64 h h))
(*.f64 (+.f64 g h) (-.f64 g h))

prune1.3s (6.1%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	291	17	308
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	292	17	309

Error

31.5b

Counts

309 → 17

Alt Table

Status	Error	Program
	36.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) 3))
	44.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (exp.f64 (log.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))))
	40.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (/.f64 -1/2 a))))
	45.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 1/3))
▶	33.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	49.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))) (.f64 (.f64 -1/6 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5)))) (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)))))
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	51.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (neg.f64 g)) (/.f64 -1/2 a))))
	40.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))))
	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 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
	52.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))))
	46.2b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))))
	46.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
	33.9b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	34.3b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	43.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	45.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))) 1/3)))

Compiler

Compiled 14549 to 7038 computations (51.6% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.0b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	3.6b	(-.f64 (.f64 g g) (.f64 h h))
	8.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
	28.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series21.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	g	@	-inf	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
4.0ms	g	@	inf	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
3.0ms	g	@	0	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
3.0ms	h	@	0	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
3.0ms	h	@	-inf	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 51

Calls

Call 1

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

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

simplify62.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

521×	`fma-neg_binary64`
463×	`times-frac_binary64`
439×	`distribute-neg-frac_binary64`
231×	`associate-/r*_binary64`
229×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	73	575
1	228	557
2	705	547
3	3695	543

Stop Event

1×	node limit

Counts

75 → 90

Calls

Call 1

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

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

prune2.4s (11.7%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	351	9	360
Fresh	2	14	16
Picked	1	0	1
Done	0	0	0
Total	354	23	377

Error

30.7b

Counts

377 → 23

Alt Table

Status	Error	Program
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (.f64 1/2 (.f64 (/.f64 h g) h)) -1/2)) (cbrt.f64 a)))
	52.1b	(+.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))))
	40.3b	(+.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 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	46.2b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))))
	36.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) 3))
	50.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (.f64 (sqrt.f64 (+.f64 g h)) (sqrt.f64 (-.f64 g h))) g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	45.2b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 g g))) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	41.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (*.f64 2 g) -1/2)) (cbrt.f64 a)))
	40.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (/.f64 -1/2 a))))
	45.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 1/3))
	40.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))))
	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 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3)) (/.f64 -1/2 a))))
	34.3b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
▶	31.9b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	45.1b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (exp.f64 (.f64 (log.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) (/.f64 -1/2 a))) 1/3)))
	37.9b	(+.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 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	52.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (fma.f64 1/2 (.f64 (/.f64 h g) h) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) -1/2)) (cbrt.f64 a)))
	49.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))) (.f64 (.f64 -1/6 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5)))) (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)))))
	46.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	50.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2) -1/2)) (cbrt.f64 a)))
	33.9b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	43.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))

Compiler

Compiled 16715 to 7660 computations (54.2% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.2b	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
	3.0b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	3.6b	(-.f64 (.f64 g g) (.f64 h h))
	28.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

series21.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	g	@	inf	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
4.0ms	h	@	0	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
3.0ms	g	@	0	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
3.0ms	g	@	-inf	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)
3.0ms	h	@	-inf	(-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g)

rewrite77.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

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

Outputs

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

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

447×	`distribute-neg-frac_binary64`
443×	`times-frac_binary64`
231×	`associate-/l*_binary64`
229×	`fma-def_binary64`
215×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	618
1	257	598
2	841	584
3	4127	584

Stop Event

1×	node limit

Counts

120 → 136

Calls

Call 1

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

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

prune3.2s (15.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	459	7	466
Fresh	6	16	22
Picked	1	0	1
Done	0	0	0
Total	466	23	489

Error

30.4b

Counts

489 → 23

Alt Table

Status	Error	Program
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (.f64 1/2 (.f64 (/.f64 h g) h)) -1/2)) (cbrt.f64 a)))
	52.1b	(+.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))))
	54.5b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (.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))))))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	40.3b	(+.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 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	46.2b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))))
	41.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (*.f64 2 g) -1/2)) (cbrt.f64 a)))
	36.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) 3))
	60.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	40.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (/.f64 -1/2 a))))
	40.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	47.9b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (.f64 1/2 (.f64 (/.f64 h g) h)) -1/2)) (cbrt.f64 a)))
	46.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
	54.1b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (neg.f64 g))) (cbrt.f64 (neg.f64 g)) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	49.9b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g)) 3))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	52.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (fma.f64 1/2 (.f64 (/.f64 h g) h) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) -1/2)) (cbrt.f64 a)))
	37.9b	(+.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 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	49.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))) (.f64 (.f64 -1/6 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5)))) (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)))))
	44.7b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	40.6b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))) (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))))
	50.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (pow.f64 (sqrt.f64 (+.f64 g (hypot.f64 g (sqrt.f64 (*.f64 h (neg.f64 h)))))) 2) -1/2)) (cbrt.f64 a)))
▶	33.9b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))))
	43.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))

Compiler

Compiled 21244 to 9021 computations (57.5% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	3.0b	(+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))))
	3.6b	(-.f64 (.f64 g g) (.f64 h h))
	8.1b	(cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h))) g)))
	28.9b	(sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))

prune2.2s (10.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	359	1	360
Fresh	2	20	22
Picked	1	0	1
Done	0	0	0
Total	362	21	383

Error

30.4b

Counts

383 → 21

Alt Table

Status	Error	Program
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (.f64 1/2 (.f64 (/.f64 h g) h)) -1/2)) (cbrt.f64 a)))
	52.1b	(+.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))))
	54.5b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (.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))))))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	40.3b	(+.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 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	46.2b	(+.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 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)) 2))))
	41.9b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (*.f64 2 g) -1/2)) (cbrt.f64 a)))
	36.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a)))) 3))
	60.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (sqrt.f64 g) (neg.f64 (sqrt.f64 g)) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	40.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) 3))) (/.f64 -1/2 a))))
	40.0b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	47.9b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (.f64 1/2 (.f64 (/.f64 h g) h)) -1/2)) (cbrt.f64 a)))
	46.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (cbrt.f64 (.f64 (+.f64 g (cbrt.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2))) (/.f64 -1/2 a))))
	54.1b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (fma.f64 (.f64 (cbrt.f64 (neg.f64 g)) (cbrt.f64 (neg.f64 g))) (cbrt.f64 (neg.f64 g)) (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h))))))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) -1/2)) (cbrt.f64 a)))
	36.8b	(+.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 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 1/4) 2)))))
	50.0b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (pow.f64 (-.f64 (.f64 g g) (.f64 h h)) 3/2) 1/3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))
	49.9b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (-.f64 (hypot.f64 g (sqrt.f64 (.f64 h (neg.f64 h)))) g)) 3))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	52.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (/.f64 (cbrt.f64 (.f64 (fma.f64 1/2 (.f64 (/.f64 h g) h) (.f64 1/8 (/.f64 (pow.f64 h 4) (pow.f64 g 3)))) -1/2)) (cbrt.f64 a)))
	37.9b	(+.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 (.f64 (cbrt.f64 (-.f64 (.f64 g g) (.f64 h h))) (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))))) -1/2)) (cbrt.f64 a)))
	49.7b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h))) g))) (fma.f64 (cbrt.f64 -1/2) (.f64 (cbrt.f64 2) (cbrt.f64 (/.f64 g a))) (.f64 (.f64 -1/6 (cbrt.f64 (/.f64 (/.f64 1 a) (pow.f64 g 5)))) (.f64 (/.f64 (cbrt.f64 -1/2) (pow.f64 (cbrt.f64 2) 2)) (.f64 h h)))))
	44.7b	(+.f64 (/.f64 (cbrt.f64 (.f64 1/2 (.f64 -1/2 (/.f64 (pow.f64 h 2) g)))) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (*.f64 h h)))) -1/2)) (cbrt.f64 a)))
	43.5b	(+.f64 (cbrt.f64 (.f64 (/.f64 1/2 a) (-.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) 3) g))) (cbrt.f64 (.f64 (+.f64 g (sqrt.f64 (-.f64 (.f64 g g) (.f64 h h)))) (/.f64 -1/2 a))))

Compiler

Compiled 15809 to 7336 computations (53.6% saved)

regimes3.3s (16%)

Accuracy

Total 1.9b remaining (5.7%)

Threshold costs 0b (0%)

Counts

202 → 1

Compiler

Compiled 51909 to 32240 computations (37.9% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	54
1	32	54
2	43	54
3	49	54
4	52	54

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

Outputs

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

end755.0ms (3.6%)

Stop Event

1×

fuel

Compiler

Compiled 888 to 542 computations (39% saved)

Details

analyze1.3s (6.4%)

sample5.1s (24.6%)

preprocess56.0ms (0.3%)

simplify38.0ms (0.2%)

prune6.0ms (0%)

localize31.0ms (0.2%)

series450.0ms (2.2%)

rewrite69.0ms (0.3%)

simplify91.0ms (0.4%)

prune1.3s (6.1%)

localize37.0ms (0.2%)

series21.0ms (0.1%)

rewrite64.0ms (0.3%)

simplify62.0ms (0.3%)

prune2.4s (11.7%)

localize32.0ms (0.2%)

series21.0ms (0.1%)

rewrite77.0ms (0.4%)

simplify64.0ms (0.3%)

prune3.2s (15.5%)

localize35.0ms (0.2%)

prune2.2s (10.5%)

regimes3.3s (16%)

simplify5.0ms (0%)

end755.0ms (3.6%)

Profiling