Details

analyze4.0ms (0.2%)

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)

sample23.0ms (1.1%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify9.0ms (0.4%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

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

rewrite5.0ms (0.2%)

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)

simplify72.0ms (3.4%)

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%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	6	32

Error

0.0b

Counts

32 → 6

Alt Table

Status	Error	Program
	26.4b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) (.f64 x 3)) (.f64 x 3)) (.f64 (.f64 x x) x)))
▶	0.2b	(*.f64 3 (pow.f64 x 2))
✓	0.2b	(.f64 (.f64 x 3) x)
	29.7b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
	0.9b	(.f64 (.f64 (.f64 x 3) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
	0.4b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (*.f64 x 3) x)))

Compiler

Compiled 422 to 268 computations (36.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0.1%)

Counts

1 → 0

Calls

1 calls:

3.0ms

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

rewrite5.0ms (0.2%)

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))

simplify101.0ms (4.7%)

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

prune37.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	45	6	51

Error

Counts

51 → 6

Alt Table

Status	Error	Program
	26.4b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x 3) (.f64 x 3)) (.f64 x 3)) (.f64 (.f64 x x) x)))
▶	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
✓	0.2b	(*.f64 3 (pow.f64 x 2))
✓	0.2b	(.f64 (.f64 x 3) x)
	29.7b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
	0.6b	(.f64 (.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))

Compiler

Compiled 578 to 442 computations (23.5% saved)

localize13.0ms (0.6%)

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)))
✓	0.2b	(*.f64 (cbrt.f64 3) (pow.f64 x 2))

series19.0ms (0.9%)

Counts

2 → 12

Calls

2 calls:

13.0ms	(.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))

rewrite20.0ms (0.9%)

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:

12.0ms	(.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))

simplify83.0ms (3.9%)

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

prune78.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	89	6	95

Error

Counts

95 → 6

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
▶	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x (cbrt.f64 (sqrt.f64 3))) (*.f64 x (cbrt.f64 (sqrt.f64 3)))))
✓	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
✓	0.2b	(*.f64 3 (pow.f64 x 2))
✓	0.2b	(.f64 (.f64 x 3) x)
	29.7b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

Compiler

Compiled 1631 to 1407 computations (13.7% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (cbrt.f64 (sqrt.f64 3)))
✓	0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x (cbrt.f64 (sqrt.f64 3))) (*.f64 x (cbrt.f64 (sqrt.f64 3)))))
✓	0.3b	(.f64 (.f64 x (cbrt.f64 (sqrt.f64 3))) (*.f64 x (cbrt.f64 (sqrt.f64 3))))

series900.0ms (42.2%)

Counts

3 → 36

Calls

3 calls:

332.0ms

(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 3))) (*.f64 x (cbrt.f64 (sqrt.f64 3)))))

319.0ms

(*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 3))) (*.f64 x (cbrt.f64 (sqrt.f64 3))))

249.0ms

(*.f64 x (cbrt.f64 (sqrt.f64 3)))

rewrite44.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`pow1_binary64`
80×	`pow-prod-down_binary64`
58×	`add-exp-log_binary64`
40×	`cbrt-unprod_binary64`
40×	`prod-exp_binary64`

Counts

3 → 124

Calls

3 calls:

18.0ms

(*.f64 (*.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 3))) (*.f64 x (cbrt.f64 (sqrt.f64 3)))))

6.0ms

(*.f64 (*.f64 x (cbrt.f64 (sqrt.f64 3))) (*.f64 x (cbrt.f64 (sqrt.f64 3))))

4.0ms

(*.f64 x (cbrt.f64 (sqrt.f64 3)))

simplify106.0ms (5%)

Algorithm

1×	egg-herbie

Rules

961×	`fma-def_binary64`
517×	`*-commutative_binary64`
402×	`sqr-pow_binary64`
350×	`associate-+l+_binary64`
281×	`log-prod_binary64`

Counts

160 → 115

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	119	3383
1	246	1977
2	997	1854
3	2088	1753
4	3477	1726
5	5045	1726

prune133.0ms (6.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	147	6	153

Error

Counts

153 → 6

Alt Table

Status	Error	Program
	0.6b	(.f64 (.f64 3 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 x 2)))
✓	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 x (cbrt.f64 (sqrt.f64 3))) (*.f64 x (cbrt.f64 (sqrt.f64 3)))))
✓	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
✓	0.2b	(*.f64 3 (pow.f64 x 2))
✓	0.2b	(.f64 (.f64 x 3) x)
	29.7b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

Compiler

Compiled 3379 to 2915 computations (13.7% saved)

regimes64.0ms (3%)

Accuracy

Total 0.2b remaining (93.2%)

Threshold costs 0.2b (93.2%)

Counts

32 → 1

Compiler

Compiled 890 to 738 computations (17.1% saved)

simplify2.0ms (0.1%)

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)

sample370.0ms (17.4%)

Algorithm

1×

intervals

Results

154.0ms

8000×

body

128

valid

Compiler

Compiled 78 to 63 computations (19.2% saved)

Details

analyze4.0ms (0.2%)

sample23.0ms (1.1%)

simplify9.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite5.0ms (0.2%)

simplify72.0ms (3.4%)

prune22.0ms (1%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite5.0ms (0.2%)

simplify101.0ms (4.7%)

prune37.0ms (1.8%)

localize13.0ms (0.6%)

series19.0ms (0.9%)

rewrite20.0ms (0.9%)

simplify83.0ms (3.9%)

prune78.0ms (3.7%)

localize8.0ms (0.4%)

series900.0ms (42.2%)

rewrite44.0ms (2.1%)

simplify106.0ms (5%)

prune133.0ms (6.2%)

regimes64.0ms (3%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample370.0ms (17.4%)

Profiling