Details

analyze27.0ms (1.1%)

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)

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify12.0ms (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

prune3.0ms (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)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

5.0ms

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

rewrite9.0ms (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:

8.0ms

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

simplify128.0ms (5.2%)

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

prune43.0ms (1.8%)

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
	1.0b	(.f64 (.f64 (.f64 x 3) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
	0.3b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (*.f64 x 3) x)))
	0.9b	(.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))
✓	0.2b	(.f64 (.f64 x 3) x)
	32.0b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

Compiler

Compiled 426 to 272 computations (36.2% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

5.0ms

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

rewrite10.0ms (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:

8.0ms

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

simplify142.0ms (5.8%)

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

prune69.0ms (2.8%)

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

0.0b

Counts

51 → 6

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
	0.9b	(.f64 (.f64 3 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
	1.0b	(.f64 (.f64 (.f64 x 3) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
✓	0.2b	(*.f64 3 (pow.f64 x 2))
	32.0b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

Compiler

Compiled 570 to 432 computations (24.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series26.0ms (1.1%)

Counts

2 → 24

Calls

2 calls:

14.0ms	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
13.0ms	(*.f64 x (sqrt.f64 3))

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`pow1_binary64`
18×	`pow-prod-down_binary64`
16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
9×	`add-sqr-sqrt_binary64`

Counts

2 → 60

Calls

2 calls:

12.0ms	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
7.0ms	(*.f64 x (sqrt.f64 3))

simplify114.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

727×	`fma-def_binary64`
393×	`associate-/l/_binary64`
356×	`associate-/r/_binary64`
355×	`associate-/l*_binary64`
233×	`sqr-pow_binary64`

Counts

84 → 70

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	670
1	126	576
2	400	561
3	655	561
4	1146	561
5	2081	561
6	4930	561
7	5106	561

prune138.0ms (5.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	103	6	109

Error

0.0b

Counts

109 → 6

Alt Table

Status	Error	Program
✓	0.4b	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.9b	(.f64 (.f64 3 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
	1.0b	(.f64 (.f64 (.f64 x 3) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
✓	0.2b	(*.f64 3 (pow.f64 x 2))
	32.0b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

Compiler

Compiled 1486 to 1142 computations (23.1% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 3 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
✓	0.3b	(.f64 3 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2))))
✓	0.4b	(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))
✓	20.4b	(cbrt.f64 (pow.f64 x 2))

series184.0ms (7.5%)

Counts

4 → 48

Calls

4 calls:

62.0ms	(cbrt.f64 (pow.f64 x 2))
59.0ms	(.f64 3 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2))))
57.0ms	(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))
6.0ms	(.f64 (.f64 3 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))

rewrite99.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

88×	`cbrt-prod_binary64`
53×	`add-sqr-sqrt_binary64`
28×	`unpow-prod-down_binary64`
26×	`unswap-sqr_binary64`
25×	`pow1_binary64`

Counts

4 → 148

Calls

4 calls:

28.0ms	(.f64 (.f64 3 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
18.0ms	(*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))
15.0ms	(.f64 3 (.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2))))
5.0ms	(cbrt.f64 (pow.f64 x 2))

simplify204.0ms (8.4%)

Algorithm

1×	egg-herbie

Rules

642×	`fma-def_binary64`
622×	`distribute-rgt-in_binary64`
580×	`distribute-lft-in_binary64`
518×	`*-commutative_binary64`
303×	`sqr-pow_binary64`

Counts

196 → 204

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	149	2522
1	249	2004
2	865	1934
3	1275	1853
4	2175	1603
5	4949	1603

prune437.0ms (17.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	253	1	254
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	253	7	260

Error

Counts

260 → 7

Alt Table

Status	Error	Program
✓	0.4b	(.f64 (.f64 x (sqrt.f64 3)) (*.f64 x (sqrt.f64 3)))
✓	0.2b	(.f64 (.f64 x 3) x)
✓	0.9b	(.f64 (.f64 3 (*.f64 (cbrt.f64 (pow.f64 x 2)) (cbrt.f64 (pow.f64 x 2)))) (cbrt.f64 (pow.f64 x 2)))
	1.0b	(.f64 (.f64 (.f64 x 3) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
	17.5b	(.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 27)) (cbrt.f64 (pow.f64 x 2)))
✓	0.2b	(*.f64 3 (pow.f64 x 2))
	32.0b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

Compiler

Compiled 5313 to 4150 computations (21.9% saved)

regimes161.0ms (6.6%)

Accuracy

Total 0.2b remaining (88.2%)

Threshold costs 0.2b (88.2%)

Counts

47 → 1

Compiler

Compiled 1116 to 866 computations (22.4% saved)

simplify4.0ms (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

end1.0ms (0%)

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

sample539.0ms (22.1%)

Algorithm

1×

intervals

Results

182.0ms

8000×

body

128

valid

Compiler

Compiled 87 to 65 computations (25.3% saved)

Details

analyze27.0ms (1.1%)

sample19.0ms (0.8%)

simplify12.0ms (0.5%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

series5.0ms (0.2%)

rewrite9.0ms (0.4%)

simplify128.0ms (5.2%)

prune43.0ms (1.8%)

localize6.0ms (0.2%)

series5.0ms (0.2%)

rewrite10.0ms (0.4%)

simplify142.0ms (5.8%)

prune69.0ms (2.8%)

localize7.0ms (0.3%)

series26.0ms (1.1%)

rewrite28.0ms (1.1%)

simplify114.0ms (4.7%)

prune138.0ms (5.7%)

localize13.0ms (0.5%)

series184.0ms (7.5%)

rewrite99.0ms (4.1%)

simplify204.0ms (8.4%)

prune437.0ms (17.9%)

regimes161.0ms (6.6%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample539.0ms (22.1%)

Profiling