Details

analyze579.0ms (4.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

Compiler

Compiled 15 to 10 computations (33.3% saved)

sample1.4s (11.8%)

Symmetry

(sort x y)

Results

1.0s	8256×	body	128	valid
171.0ms	1565×	body	128	invalid

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

826×	`associate-*r/_binary64`
769×	`associate-/l/_binary64`
660×	`associate-*l/_binary64`
522×	`associate-/l*_binary64`
421×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	30	16
2	78	14
3	195	14
4	314	14
5	383	14
6	426	14
7	631	14
8	1009	14
9	2204	14
10	2868	14
11	2967	14
12	3079	14
13	3193	14
14	3058	14
15	3712	14
16	4988	14
17	4824	14

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

5.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	8.4b	(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
	14.4b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

Compiler

Compiled 78 to 45 computations (42.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (/.f64 y (fma.f64 z z z)) z)
✓	6.6b	(/.f64 y (fma.f64 z z z))
✓	7.5b	(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))

series195.0ms (1.7%)

Counts

3 → 84

Calls

3 calls:

108.0ms	(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
49.0ms	(/.f64 (/.f64 y (fma.f64 z z z)) z)
37.0ms	(/.f64 y (fma.f64 z z z))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64`
98×	`add-sqr-sqrt_binary64`
89×	`*-un-lft-identity_binary64`
89×	`add-cube-cbrt_binary64`
43×	`associate-r_binary64`

Counts

3 → 168

Calls

3 calls:

12.0ms	(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
4.0ms	(/.f64 (/.f64 y (fma.f64 z z z)) z)
2.0ms	(/.f64 y (fma.f64 z z z))

simplify159.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

805×	`fma-def_binary64`
353×	`fma-neg_binary64`
351×	`*-commutative_binary64`
341×	`associate-/r/_binary64`
275×	`sub-neg_binary64`

Counts

252 → 296

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	287	4846
1	687	4599
2	2304	4515
3	3607	4509
4	4817	4509
5	4963	4509

prune326.0ms (2.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	284	12	296
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	285	13	298

Error

1.2b

Counts

298 → 13

Alt Table

Status	Error	Program
	25.8b	(.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 z z z))) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 z z z))) (cbrt.f64 z)))
▶	5.1b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z))) z))
	16.0b	(.f64 (.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) 1)) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) z))
	8.8b	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)) (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)))) (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)))
	34.1b	(.f64 (.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) (sqrt.f64 z))) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) (sqrt.f64 z)))
	26.5b	(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
	22.6b	(/.f64 (*.f64 y x) (+.f64 (pow.f64 z 2) (pow.f64 z 3)))
	8.4b	(*.f64 x (/.f64 (/.f64 1 (/.f64 (fma.f64 z z z) y)) z))
	35.2b	(.f64 x (/.f64 (.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z)))) z))
	35.4b	(.f64 x (.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (hypot.f64 z (sqrt.f64 z))) (/.f64 (/.f64 (cbrt.f64 y) (hypot.f64 z (sqrt.f64 z))) z)))
✓	8.4b	(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
	5.9b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (cbrt.f64 y) (fma.f64 z z z)) (cbrt.f64 z)))
	54.3b	(.f64 (.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z))) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z))))

Compiler

Compiled 6515 to 1532 computations (76.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.8b	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z)))))
✓	2.9b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z))) z))
✓	6.2b	(/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))
✓	21.3b	(cbrt.f64 (fma.f64 z z z))

series2.4s (20.4%)

Counts

4 → 108

Calls

4 calls:

1.6s	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z)))))
672.0ms	(/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))
117.0ms	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z))) z))
7.0ms	(cbrt.f64 (fma.f64 z z z))

rewrite105.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

231×	`times-frac_binary64`
129×	`associate-r_binary64`
127×	`add-exp-log_binary64`
126×	`add-sqr-sqrt_binary64`
123×	`*-un-lft-identity_binary64`

Counts

4 → 244

Calls

4 calls:

26.0ms	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z))) z))
10.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z)))))
6.0ms	(/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))
1.0ms	(cbrt.f64 (fma.f64 z z z))

simplify272.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

696×	`associate-*l/_binary64`
421×	`associate-/l*_binary64`
312×	`associate-/r*_binary64`
291×	`times-frac_binary64`
270×	`fma-def_binary64`

Counts

352 → 434

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	16302
1	1670	12076
2	4961	12036
3	5102	12036

prune580.0ms (4.9%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	493	1	494
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	493	14	507

Error

1.2b

Counts

507 → 14

Alt Table

Status	Error	Program
	25.8b	(.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 z z z))) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 z z z))) (cbrt.f64 z)))
✓	5.1b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z))) z))
	16.0b	(.f64 (.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) 1)) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) z))
	8.8b	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)) (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)))) (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)))
	34.1b	(.f64 (.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) (sqrt.f64 z))) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) (sqrt.f64 z)))
	26.5b	(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
	22.6b	(/.f64 (*.f64 y x) (+.f64 (pow.f64 z 2) (pow.f64 z 3)))
	8.4b	(*.f64 x (/.f64 (/.f64 1 (/.f64 (fma.f64 z z z) y)) z))
	35.2b	(.f64 x (/.f64 (.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z)))) z))
	35.4b	(.f64 x (.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (hypot.f64 z (sqrt.f64 z))) (/.f64 (/.f64 (cbrt.f64 y) (hypot.f64 z (sqrt.f64 z))) z)))
✓	8.4b	(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
▶	4.2b	(.f64 (.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))))) (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) z))
	5.9b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (cbrt.f64 y) (fma.f64 z z z)) (cbrt.f64 z)))
	54.3b	(.f64 (.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z))) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z))))

Compiler

Compiled 21862 to 4424 computations (79.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.5b	(.f64 (.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))))) (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) z))
	2.8b	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z)))))
	6.2b	(/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))
	21.3b	(cbrt.f64 (fma.f64 z z z))

series116.0ms (1%)

Counts

1 → 36

Calls

1 calls:

116.0ms

(*.f64 (*.f64 (*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))))) (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) z))

rewrite215.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

237×	`times-frac_binary64`
228×	`cbrt-prod_binary64`
154×	`add-exp-log_binary64`
133×	`associate-r_binary64`
123×	`*-un-lft-identity_binary64`

Counts

1 → 216

Calls

1 calls:

42.0ms

(*.f64 (*.f64 (*.f64 x (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (*.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))))) (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) z))

simplify501.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

602×	`associate-/r/_binary64`
513×	`*-commutative_binary64`
449×	`associate-*r/_binary64`
391×	`associate-/l*_binary64`
318×	`associate-*l/_binary64`

Counts

252 → 342

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	481	22569
1	1367	15988
2	3715	12086
3	4857	12086
4	5008	12086

prune797.0ms (6.8%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	620	0	620
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	620	14	634

Error

1.2b

Counts

634 → 14

Alt Table

Status	Error	Program
	25.8b	(.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 z z z))) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 z z z))) (cbrt.f64 z)))
✓	5.1b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z))) z))
	16.0b	(.f64 (.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) 1)) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) z))
	8.8b	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)) (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)))) (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)))
	34.1b	(.f64 (.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) (sqrt.f64 z))) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) (sqrt.f64 z)))
	26.5b	(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
	22.6b	(/.f64 (*.f64 y x) (+.f64 (pow.f64 z 2) (pow.f64 z 3)))
	8.4b	(*.f64 x (/.f64 (/.f64 1 (/.f64 (fma.f64 z z z) y)) z))
	35.2b	(.f64 x (/.f64 (.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z)))) z))
	35.4b	(.f64 x (.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (hypot.f64 z (sqrt.f64 z))) (/.f64 (/.f64 (cbrt.f64 y) (hypot.f64 z (sqrt.f64 z))) z)))
✓	8.4b	(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
✓	4.2b	(.f64 (.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))))) (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) z))
▶	5.9b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (cbrt.f64 y) (fma.f64 z z z)) (cbrt.f64 z)))
	54.3b	(.f64 (.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z))) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z))))

Compiler

Compiled 39085 to 5868 computations (85% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 y)
✓	0.7b	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
✓	1.8b	(/.f64 (cbrt.f64 y) (fma.f64 z z z))
✓	4.8b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (cbrt.f64 y) (fma.f64 z z z)) (cbrt.f64 z)))

series1.4s (12.2%)

Counts

4 → 108

Calls

4 calls:

1.2s	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
112.0ms	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (cbrt.f64 y) (fma.f64 z z z)) (cbrt.f64 z)))
69.0ms	(/.f64 (cbrt.f64 y) (fma.f64 z z z))
30.0ms	(cbrt.f64 y)

rewrite95.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

260×	`times-frac_binary64`
148×	`add-sqr-sqrt_binary64`
145×	`*-un-lft-identity_binary64`
145×	`add-cube-cbrt_binary64`
141×	`associate-r_binary64`

Counts

4 → 274

Calls

4 calls:

30.0ms	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (cbrt.f64 y) (fma.f64 z z z)) (cbrt.f64 z)))
8.0ms	(.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
2.0ms	(/.f64 (cbrt.f64 y) (fma.f64 z z z))
1.0ms	(cbrt.f64 y)

simplify241.0ms (2%)

Algorithm

1×	egg-herbie

Rules

590×	`associate-*l/_binary64`
563×	`associate-*r/_binary64`
460×	`associate-/l*_binary64`
264×	`times-frac_binary64`
225×	`associate-/l/_binary64`

Counts

382 → 456

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	497	13084
1	1389	9752
2	4926	9726
3	5111	9726

prune609.0ms (5.2%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	490	0	490
Fresh	0	10	10
Picked	0	1	1
Done	0	3	3
Total	490	14	504

Error

1.2b

Counts

504 → 14

Alt Table

Status	Error	Program
	25.8b	(.f64 (.f64 x (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 z z z))) (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (sqrt.f64 y) (sqrt.f64 (fma.f64 z z z))) (cbrt.f64 z)))
✓	5.1b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (/.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z))) z))
	16.0b	(.f64 (.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) 1)) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) z))
	8.8b	(.f64 (.f64 x (*.f64 (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)) (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)))) (cbrt.f64 (/.f64 (/.f64 y (fma.f64 z z z)) z)))
	34.1b	(.f64 (.f64 x (/.f64 (/.f64 1 (sqrt.f64 (fma.f64 z z z))) (sqrt.f64 z))) (/.f64 (/.f64 y (sqrt.f64 (fma.f64 z z z))) (sqrt.f64 z)))
	26.5b	(*.f64 (/.f64 y z) (-.f64 (/.f64 x z) x))
	22.6b	(/.f64 (*.f64 y x) (+.f64 (pow.f64 z 2) (pow.f64 z 3)))
	8.4b	(*.f64 x (/.f64 (/.f64 1 (/.f64 (fma.f64 z z z) y)) z))
	35.2b	(.f64 x (/.f64 (.f64 (/.f64 1 (hypot.f64 z (sqrt.f64 z))) (/.f64 y (hypot.f64 z (sqrt.f64 z)))) z))
	35.4b	(.f64 x (.f64 (/.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (hypot.f64 z (sqrt.f64 z))) (/.f64 (/.f64 (cbrt.f64 y) (hypot.f64 z (sqrt.f64 z))) z)))
✓	8.4b	(*.f64 x (/.f64 (/.f64 y (fma.f64 z z z)) z))
✓	4.2b	(.f64 (.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 (fma.f64 z z z)) (cbrt.f64 (fma.f64 z z z))))) (.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))))) (/.f64 (cbrt.f64 (/.f64 (cbrt.f64 y) (cbrt.f64 (fma.f64 z z z)))) z))
✓	5.9b	(.f64 (.f64 x (/.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (.f64 (cbrt.f64 z) (cbrt.f64 z)))) (/.f64 (/.f64 (cbrt.f64 y) (fma.f64 z z z)) (cbrt.f64 z)))
	54.3b	(.f64 (.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z))) (*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 y) (hypot.f64 z (sqrt.f64 z))) (sqrt.f64 z))))

Compiler

Compiled 17652 to 2967 computations (83.2% saved)

regimes1.2s (10.5%)

Accuracy

Total 1.7b remaining (52.6%)

Threshold costs 0b (0%)

Counts

183 → 3

Compiler

Compiled 26376 to 12964 computations (50.8% saved)

bsearch7.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary64`
2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`/-rgt-identity_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	118
1	44	118
2	48	118
3	50	118
4	51	118
5	50	118

end321.0ms (2.7%)

Compiler: Compiled 682 to 278 computations (59.2% saved)

Details

analyze579.0ms (4.9%)

sample1.4s (11.8%)

simplify94.0ms (0.8%)

prune4.0ms (0%)

localize7.0ms (0.1%)

series195.0ms (1.7%)

rewrite34.0ms (0.3%)

simplify159.0ms (1.4%)

prune326.0ms (2.8%)

localize13.0ms (0.1%)

series2.4s (20.4%)

rewrite105.0ms (0.9%)

simplify272.0ms (2.3%)

prune580.0ms (4.9%)

localize17.0ms (0.1%)

series116.0ms (1%)

rewrite215.0ms (1.8%)

simplify501.0ms (4.3%)

prune797.0ms (6.8%)

localize13.0ms (0.1%)

series1.4s (12.2%)

rewrite95.0ms (0.8%)

simplify241.0ms (2%)

prune609.0ms (5.2%)

regimes1.2s (10.5%)

bsearch7.0ms (0.1%)

simplify6.0ms (0.1%)

end321.0ms (2.7%)

Profiling