Details

analyze30.0ms (0.7%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample29.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	10	9
2	12	9
3	12	9

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

14.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	14.4b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.0b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

series414.0ms (8.9%)

Counts

1 → 24

Calls

1 calls:

414.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 18

Calls

1 calls:

2.0ms

(cbrt.f64 (/.f64 g (*.f64 2 a)))

simplify117.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

809×	`div-sub_binary64`
664×	`fma-def_binary64`
461×	`fma-neg_binary64`
390×	`times-frac_binary64`
300×	`unswap-sqr_binary64`

Counts

42 → 38

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	709
1	117	709
2	178	685
3	426	549
4	960	513
5	2276	513
6	4146	513
7	5010	513

prune32.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	30	8	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	8	39

Error

0.1b

Counts

39 → 8

Alt Table

Status	Error	Program
	38.4b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	14.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.1b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	34.9b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	5.1b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
	15.0b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	14.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))

Compiler

Compiled 683 to 496 computations (27.4% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
✓	0.6b	(cbrt.f64 (*.f64 2 a))
✓	0.6b	(cbrt.f64 g)

series504.0ms (10.9%)

Counts

3 → 48

Calls

3 calls:

442.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
34.0ms	(cbrt.f64 (*.f64 2 a))
28.0ms	(cbrt.f64 g)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`cbrt-prod_binary64`
24×	`times-frac_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-sqr-sqrt_binary64`
21×	`add-cube-cbrt_binary64`

Counts

3 → 72

Calls

3 calls:

5.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))
2.0ms	(cbrt.f64 (*.f64 2 a))
1.0ms	(cbrt.f64 g)

simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-def_binary64`
622×	`associate-/l/_binary64`
522×	`associate-/r*_binary64`
330×	`associate-/r/_binary64`
329×	`associate-*l/_binary64`

Counts

120 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	132	1821
1	222	1755
2	499	1694
3	1488	1558
4	4423	1558
5	5046	1558

prune87.0ms (1.9%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	121	10	131
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	123	16	139

Error

0.0b

Counts

139 → 16

Alt Table

Status	Error	Program
	1.1b	(/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (/.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))
	32.2b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	14.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.5b	(/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))
	1.1b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
	1.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	32.6b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	15.0b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	34.9b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	5.1b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
▶	0.8b	(/.f64 (/.f64 (cbrt.f64 g) 1) (cbrt.f64 (*.f64 2 a)))
	1.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
	14.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	1.5b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 a 2))) (cbrt.f64 (cbrt.f64 (.f64 a 2))))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 a 2)))))

Compiler

Compiled 2340 to 1500 computations (35.9% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (cbrt.f64 g) 1) (cbrt.f64 (*.f64 2 a)))
	0.6b	(cbrt.f64 (*.f64 2 a))
	0.6b	(cbrt.f64 g)

series439.0ms (9.5%)

Counts

1 → 24

Calls

1 calls:

439.0ms

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

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64`
89×	`*-un-lft-identity_binary64`
89×	`add-sqr-sqrt_binary64`
89×	`add-cube-cbrt_binary64`
68×	`cbrt-prod_binary64`

Counts

1 → 132

Calls

1 calls:

8.0ms

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

simplify177.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

563×	`exp-sum_binary64`
448×	`times-frac_binary64`
336×	`associate-/l*_binary64`
301×	`fma-def_binary64`
290×	`exp-diff_binary64`

Counts

156 → 198

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	158	3460
1	245	3391
2	451	3353
3	1001	3206
4	2365	3122
5	4343	3122
6	4875	3122
7	5092	3122

prune153.0ms (3.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	238	16	254

Error

0.0b

Counts

254 → 16

Alt Table

Status	Error	Program
	1.1b	(/.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (/.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))
	32.2b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	14.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	1.5b	(/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (/.f64 (cbrt.f64 (.f64 2 a)) (cbrt.f64 (cbrt.f64 g))))
▶	1.1b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	1.6b	(.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 2)) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 a)))
	1.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	32.6b	(.f64 (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (.f64 2 a)))) (sqrt.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 2 a)))))
	15.0b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 2 a))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	34.9b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
	5.1b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
✓	0.8b	(/.f64 (/.f64 (cbrt.f64 g) 1) (cbrt.f64 (*.f64 2 a)))
	1.8b	(.f64 (/.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 2 a))) (cbrt.f64 (cbrt.f64 (.f64 2 a))))) (/.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 (.f64 2 a)))))
	14.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	1.5b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 a 2))) (cbrt.f64 (cbrt.f64 (.f64 a 2))))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 a 2)))))

Compiler

Compiled 4845 to 3267 computations (32.6% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	0.6b	(cbrt.f64 g)
✓	0.8b	(cbrt.f64 (/.f64 1/2 a))

series444.0ms (9.6%)

Counts

2 → 36

Calls

2 calls:

411.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
33.0ms	(cbrt.f64 (/.f64 1/2 a))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
33×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64`

Counts

2 → 67

Calls

2 calls:

7.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))

simplify112.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-def_binary64`
520×	`fma-neg_binary64`
341×	`div-sub_binary64`
324×	`*-commutative_binary64`
269×	`associate-l_binary64`

Counts

103 → 117

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	139	1588
1	242	1588
2	498	1552
3	840	1406
4	1779	1374
5	3468	1347
6	4304	1341
7	4909	1341

prune89.0ms (1.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	130	5	135
Fresh	7	7	14
Picked	1	0	1
Done	0	1	1
Total	138	13	151

Error

Counts

151 → 13

Alt Table

Status	Error	Program
	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	14.4b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	32.4b	(.f64 (sqrt.f64 (cbrt.f64 g)) (.f64 (sqrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	5.1b	(.f64 (cbrt.f64 (/.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g)) 2)) (cbrt.f64 (/.f64 (cbrt.f64 g) a)))
	1.2b	(/.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 2)) (cbrt.f64 a))
	1.4b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 g) (cbrt.f64 g))) (*.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (/.f64 1/2 a))))
	0.9b	(*.f64 (cbrt.f64 g) (/.f64 (cbrt.f64 1/2) (cbrt.f64 a)))
	34.9b	(*.f64 (cbrt.f64 (/.f64 (sqrt.f64 g) 2)) (cbrt.f64 (/.f64 (sqrt.f64 g) a)))
✓	0.8b	(/.f64 (/.f64 (cbrt.f64 g) 1) (cbrt.f64 (*.f64 2 a)))
	1.5b	(/.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 g)) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (cbrt.f64 g))) (cbrt.f64 (*.f64 2 a)))
	14.6b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 2 a))) (cbrt.f64 (/.f64 g (.f64 2 a)))) (cbrt.f64 (/.f64 g (*.f64 2 a)))))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	1.5b	(.f64 (/.f64 1 (.f64 (cbrt.f64 (cbrt.f64 (.f64 a 2))) (cbrt.f64 (cbrt.f64 (.f64 a 2))))) (/.f64 (cbrt.f64 g) (cbrt.f64 (cbrt.f64 (*.f64 a 2)))))

Compiler

Compiled 2025 to 1334 computations (34.1% saved)

regimes1.2s (25.8%)

Accuracy

Total 0.8b remaining (91%)

Threshold costs 0.8b (91%)

Counts

187 → 1

Compiler

Compiled 15806 to 12420 computations (21.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	9	11
2	9	11

end0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample659.0ms (14.2%)

Algorithm

1×

intervals

Results

285.0ms

8000×

body

128

valid

Compiler

Compiled 214 to 159 computations (25.7% saved)

Details

analyze30.0ms (0.7%)

sample29.0ms (0.6%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize4.0ms (0.1%)

series414.0ms (8.9%)

rewrite3.0ms (0.1%)

simplify117.0ms (2.5%)

prune32.0ms (0.7%)

localize5.0ms (0.1%)

series504.0ms (10.9%)

rewrite10.0ms (0.2%)

simplify82.0ms (1.8%)

prune87.0ms (1.9%)

localize6.0ms (0.1%)

series439.0ms (9.5%)

rewrite20.0ms (0.4%)

simplify177.0ms (3.8%)

prune153.0ms (3.3%)

localize5.0ms (0.1%)

series444.0ms (9.6%)

rewrite12.0ms (0.3%)

simplify112.0ms (2.4%)

prune89.0ms (1.9%)

regimes1.2s (25.8%)

simplify2.0ms (0%)

end0.0ms (0%)

sample659.0ms (14.2%)

Profiling