Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample27.0ms (2.3%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
2×	`associate-l_binary64`
1×	`associate-r_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	10	7
3	10	7

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (.f64 x 3) x)

Compiler

Compiled 23 to 15 computations (34.8% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(*.f64 (*.f64 x 3) x)

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 (*.f64 x 3) x)

simplify68.0ms (5.8%)

Algorithm

1×	egg-herbie

Rules

793×	`fma-def_binary64`
445×	`times-frac_binary64`
424×	`distribute-rgt-in_binary64`
318×	`associate-l_binary64`
257×	`sqr-pow_binary64`

Counts

32 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	296
1	89	260
2	280	251
3	551	249
4	764	249
5	1314	249
6	2592	249
7	4883	249
8	4953	249

prune22.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	25	6	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	7	32

Error

0.0b

Counts

32 → 7

Alt Table

Status	Error	Program
	0.4b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (*.f64 x 3) x)))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) x)) (cbrt.f64 (.f64 (.f64 x 3) x))) (cbrt.f64 (.f64 (.f64 x 3) x)))
	33.5b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) x) (.f64 (.f64 x 3) x)) (.f64 (.f64 x 3) x)))
▶	0.2b	(*.f64 3 (pow.f64 x 2))
✓	0.2b	(.f64 (.f64 x 3) x)
	34.3b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
	1.0b	(.f64 (.f64 (.f64 x 3) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))

Compiler

Compiled 464 to 298 computations (35.8% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 3 (pow.f64 x 2))

series3.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

3.0ms

(*.f64 3 (pow.f64 x 2))

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`unswap-sqr_binary64`
4×	`unpow-prod-down_binary64`

Counts

1 → 29

Calls

1 calls:

4.0ms

(*.f64 3 (pow.f64 x 2))

simplify94.0ms (7.9%)

Algorithm

1×	egg-herbie

Rules

656×	`unswap-sqr_binary64`
445×	`exp-prod_binary64`
443×	`log-prod_binary64`
398×	`cube-prod_binary64`
337×	`*-commutative_binary64`

Counts

29 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	321
1	97	249
2	197	239
3	636	233
4	1074	233
5	2909	233
6	3983	233
7	4567	233
8	4972	233
9	4879	233

prune38.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	44	8	52

Error

Counts

52 → 8

Alt Table

Status	Error	Program
	1.0b	(.f64 (.f64 3 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
✓	0.2b	(*.f64 3 (pow.f64 x 2))
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.4b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) x)) (cbrt.f64 (.f64 (.f64 x 3) x))) (cbrt.f64 (.f64 (.f64 x 3) x)))
	33.5b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) x) (.f64 (.f64 x 3) x)) (.f64 (.f64 x 3) x)))
	1.0b	(.f64 (.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
	0.5b	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))

Compiler

Compiled 656 to 500 computations (23.8% saved)

localize43.0ms (3.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
✓	0.3b	(*.f64 (cbrt.f64 3) (pow.f64 x 2))

series21.0ms (1.8%)

Counts

2 → 12

Calls

2 calls:

16.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
6.0ms	(*.f64 (cbrt.f64 3) (pow.f64 x 2))

rewrite17.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64`
21×	`prod-exp_binary64`
18×	`add-sqr-sqrt_binary64`
9×	`associate-r_binary64`
9×	`cbrt-unprod_binary64`

Counts

2 → 62

Calls

2 calls:

7.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
5.0ms	(*.f64 (cbrt.f64 3) (pow.f64 x 2))

simplify80.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

527×	`times-frac_binary64`
398×	`unswap-sqr_binary64`
392×	`fma-def_binary64`
321×	`log-prod_binary64`
302×	`associate-+l+_binary64`

Counts

74 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	929
1	165	724
2	489	714
3	811	693
4	1373	693
5	3632	693
6	4363	693
7	4969	693

prune80.0ms (6.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	90	7	97

Error

Counts

97 → 7

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.4b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) x)) (cbrt.f64 (.f64 (.f64 x 3) x))) (cbrt.f64 (.f64 (.f64 x 3) x)))
	33.5b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) x) (.f64 (.f64 x 3) x)) (.f64 (.f64 x 3) x)))
✓	0.2b	(*.f64 3 (pow.f64 x 2))
	1.0b	(.f64 (.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
▶	0.4b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (cbrt.f64 3) x) x))

Compiler

Compiled 1683 to 1437 computations (14.6% saved)

localize8.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (cbrt.f64 3) x) x)
✓	0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (cbrt.f64 3) x) x))
✓	0.3b	(*.f64 (cbrt.f64 3) x)

series23.0ms (2%)

Counts

3 → 24

Calls

3 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (cbrt.f64 3) x) x))
5.0ms	(.f64 (.f64 (cbrt.f64 3) x) x)
5.0ms	(*.f64 (cbrt.f64 3) x)

rewrite22.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64`
31×	`pow1_binary64`
21×	`add-cbrt-cube_binary64`
19×	`cbrt-unprod_binary64`
19×	`prod-exp_binary64`

Counts

3 → 74

Calls

3 calls:

10.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (cbrt.f64 3) x) x))
4.0ms	(.f64 (.f64 (cbrt.f64 3) x) x)
3.0ms	(*.f64 (cbrt.f64 3) x)

simplify89.0ms (7.5%)

Algorithm

1×	egg-herbie

Rules

896×	`fma-def_binary64`
445×	`associate-/l*_binary64`
431×	`associate-/l/_binary64`
399×	`associate-/r/_binary64`
314×	`*-commutative_binary64`

Counts

98 → 105

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	88	1519
1	203	883
2	603	847
3	949	845
4	1380	845
5	2458	840
6	4752	840
7	5192	840

prune81.0ms (6.8%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	105	7	112

Error

Counts

112 → 7

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.4b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x 3) x)) (cbrt.f64 (.f64 (.f64 x 3) x))) (cbrt.f64 (.f64 (.f64 x 3) x)))
✓	0.2b	(*.f64 3 (pow.f64 x 2))
	1.0b	(.f64 (.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
✓	0.4b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (cbrt.f64 3) x) x))
	0.7b	(.f64 (cbrt.f64 3) (pow.f64 (.f64 x (cbrt.f64 3)) 2))

Compiler

Compiled 1838 to 1462 computations (20.5% saved)

regimes39.0ms (3.3%)

Accuracy

Total 0.2b remaining (91.8%)

Threshold costs 0.2b (91.8%)

Counts

22 → 1

Compiler

Compiled 542 to 412 computations (24% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	7

end0.0ms (0%)

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

sample395.0ms (33.4%)

Algorithm

1×

intervals

Results

158.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 95 to 74 computations (22.1% saved)

Details

analyze4.0ms (0.3%)

sample27.0ms (2.3%)

simplify6.0ms (0.5%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite5.0ms (0.4%)

simplify68.0ms (5.8%)

prune22.0ms (1.8%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite5.0ms (0.4%)

simplify94.0ms (7.9%)

prune38.0ms (3.2%)

localize43.0ms (3.6%)

series21.0ms (1.8%)

rewrite17.0ms (1.5%)

simplify80.0ms (6.8%)

prune80.0ms (6.8%)

localize8.0ms (0.6%)

series23.0ms (2%)

rewrite22.0ms (1.9%)

simplify89.0ms (7.5%)

prune81.0ms (6.8%)

regimes39.0ms (3.3%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample395.0ms (33.4%)

Profiling