Details

analyze47.0ms (1.7%)

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)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify10.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

15.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	15.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 16 to 12 computations (25% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

15.1b

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

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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)))

Compiler

Compiled 212 to 152 computations (28.3% saved)

series38.0ms (1.4%)

Error

5.2b

Counts

1 → 6

Calls

1 calls:

34.0ms

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

Compiler

Compiled 253 to 217 computations (14.2% saved)

simplify68.0ms (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

24 → 20

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	74	355
1	117	355
2	178	349
3	426	315
4	960	303
5	2276	303
6	4146	303
7	5010	303

prune20.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	13	7	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	8	21

Error

0.2b

Counts

21 → 8

Alt Table

Status	Error	Program
	39.7b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
▶	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	15.6b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	16.3b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	39.8b	(.f64 (cbrt.f64 (sqrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (sqrt.f64 (/.f64 g (*.f64 a 2)))))
	16.0b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
✓	15.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 392 to 292 computations (25.5% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.4b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
0.6b	(cbrt.f64 (/.f64 1/2 a))
0.6b	(cbrt.f64 g)

rewrite71.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`cbrt-prod_binary64`
35×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`

Counts

3 → 80

Calls

3 calls:

9.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
2.0ms	(cbrt.f64 (/.f64 1/2 a))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1056 to 665 computations (37% saved)

series68.0ms (2.5%)

Error

0.2b

Counts

3 → 12

Calls

3 calls:

38.0ms	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
14.0ms	(cbrt.f64 (/.f64 1/2 a))
12.0ms	(cbrt.f64 g)

Compiler

Compiled 453 to 384 computations (15.2% saved)

simplify83.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

521×	`exp-sum_binary64`
480×	`*-commutative_binary64`
376×	`fma-neg_binary64`
368×	`associate-l_binary64`
306×	`associate-r_binary64`

Counts

92 → 36

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	150	1219
1	260	1215
2	655	1192
3	1644	1158
4	3907	1148
5	5154	1148

prune25.0ms (0.9%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	32	12	44

Error

0.1b

Counts

44 → 12

Alt Table

Status	Error	Program
	39.7b	(.f64 (sqrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (sqrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
▶	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	15.6b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 (/.f64 g a)))
	16.3b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	1.0b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (sqrt.f64 1/2)) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	16.0b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	1.0b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
✓	15.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))

Compiler

Compiled 630 to 479 computations (24% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
0.5b	(cbrt.f64 (*.f64 a 2))
0.6b	(cbrt.f64 g)

rewrite60.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

3.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
2.0ms	(cbrt.f64 (*.f64 a 2))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 979 to 584 computations (40.3% saved)

series77.0ms (2.9%)

Error

0.1b

Counts

3 → 12

Calls

3 calls:

46.0ms	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
14.0ms	(cbrt.f64 (*.f64 a 2))
12.0ms	(cbrt.f64 g)

Compiler

Compiled 443 to 374 computations (15.6% saved)

simplify103.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

639×	`associate-/r*_binary64`
464×	`associate-l_binary64`
372×	`associate-/r/_binary64`
357×	`associate-*l/_binary64`
226×	`fma-neg_binary64`

Counts

84 → 39

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	132	1332
1	222	1266
2	506	1232
3	1521	1193
4	4344	1189
5	4991	1189
6	4911	1189

prune30.0ms (1.1%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	34	5	39
Fresh	2	7	9
Picked	0	1	1
Done	0	2	2
Total	36	15	51

Error

0.1b

Counts

51 → 15

Alt Table

Status	Error	Program
	16.3b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
✓	15.5b	(cbrt.f64 (/.f64 g (*.f64 2 a)))
	33.4b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
✓	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	15.6b	(*.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 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	16.0b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
▶	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/2)))
	16.0b	(.f64 (cbrt.f64 (.f64 (cbrt.f64 (/.f64 g (.f64 a 2))) (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	1.0b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
✓	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	15.8b	(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))

Compiler

Compiled 750 to 550 computations (26.7% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 g)
0.6b	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
1.0b	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))

rewrite104.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

51×	`cbrt-prod_binary64`
34×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
18×	`times-frac_binary64`

Counts

4 → 99

Calls

4 calls:

5.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
3.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
3.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
1.0ms	(cbrt.f64 g)

Compiler

Compiled 1954 to 1596 computations (18.3% saved)

series34.0ms (1.3%)

Error

0.1b

Counts

4 → 6

Calls

4 calls:

18.0ms	(cbrt.f64 (/.f64 (cbrt.f64 1/2) a))
13.0ms	(cbrt.f64 g)
0.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

Compiler

Compiled 361 to 325 computations (10% saved)

simplify129.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

633×	`fma-def_binary64`
442×	`associate-/l*_binary64`
430×	`fma-neg_binary64`
352×	`times-frac_binary64`
323×	`log-prod_binary64`

Counts

105 → 69

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	154	1323
1	225	1299
2	498	1287
3	1203	1237
4	3340	1053
5	3824	1031
6	4755	1031
7	5100	1031

prune46.0ms (1.7%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	2	9	11
Picked	0	1	1
Done	1	2	3
Total	68	16	84

Error

0.0b

Counts

84 → 16

Alt Table

Status	Error	Program
	16.3b	(.f64 (.f64 (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2)))) (cbrt.f64 (cbrt.f64 (/.f64 g (.f64 a 2))))) (cbrt.f64 (cbrt.f64 (/.f64 g (*.f64 a 2)))))
	1.2b	(/.f64 (cbrt.f64 g) (*.f64 (cbrt.f64 (neg.f64 a)) (cbrt.f64 -2)))
	32.2b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (.f64 (cbrt.f64 (/.f64 (pow.f64 (cbrt.f64 1/2) 2/3) (sqrt.f64 a))) (cbrt.f64 (/.f64 (cbrt.f64 (cbrt.f64 1/2)) (sqrt.f64 a))))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	1.2b	(.f64 (cbrt.f64 g) (.f64 (expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 1/2) 2/3))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	33.4b	(.f64 (cbrt.f64 (sqrt.f64 g)) (/.f64 (cbrt.f64 (sqrt.f64 g)) (cbrt.f64 (.f64 a 2))))
	0.8b	(*.f64 (cbrt.f64 g) (cbrt.f64 (/.f64 1/2 a)))
	15.6b	(*.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 (cbrt.f64 g)) (cbrt.f64 (*.f64 a 2))))
	16.0b	(/.f64 (cbrt.f64 (/.f64 g a)) (cbrt.f64 2))
	0.9b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a)))
	1.1b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (cbrt.f64 (sqrt.f64 1/2)) a)))))
	0.9b	(.f64 (cbrt.f64 g) (.f64 (cbrt.f64 (*.f64 (sqrt.f64 (cbrt.f64 1/2)) (pow.f64 (sqrt.f64 (cbrt.f64 1/2)) 3))) (cbrt.f64 (/.f64 (cbrt.f64 1/2) a))))
	1.0b	(.f64 (.f64 (cbrt.f64 g) (cbrt.f64 (sqrt.f64 1/2))) (cbrt.f64 (/.f64 (sqrt.f64 1/2) a)))
	0.8b	(/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2)))
	15.8b	(cbrt.f64 (pow.f64 (/.f64 (cbrt.f64 g) (cbrt.f64 (*.f64 a 2))) 3))

Compiler

Compiled 997 to 822 computations (17.6% saved)

regimes947.0ms (35.1%)

Accuracy

Total 0.8b remaining (94.1%)

Threshold costs 0.8b (94.1%)

Compiler

Compiled 13940 to 10911 computations (21.7% saved)

simplify4.0ms (0.1%)

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)

sample670.0ms (24.8%)

Algorithm

1×

intervals

Results

263.0ms

8000×

body

128

valid

Compiler

Compiled 273 to 222 computations (18.7% saved)

Details

analyze47.0ms (1.7%)

sample17.0ms (0.6%)

simplify10.0ms (0.4%)

prune1.0ms (0%)

localize4.0ms (0.2%)

rewrite17.0ms (0.6%)

series38.0ms (1.4%)

simplify68.0ms (2.5%)

prune20.0ms (0.8%)

localize6.0ms (0.2%)

rewrite71.0ms (2.6%)

series68.0ms (2.5%)

simplify83.0ms (3.1%)

prune25.0ms (0.9%)

localize8.0ms (0.3%)

rewrite60.0ms (2.2%)

series77.0ms (2.9%)

simplify103.0ms (3.8%)

prune30.0ms (1.1%)

localize12.0ms (0.4%)

rewrite104.0ms (3.9%)

series34.0ms (1.3%)

simplify129.0ms (4.8%)

prune46.0ms (1.7%)

regimes947.0ms (35.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample670.0ms (24.8%)

Profiling