Details

analyze19.0ms (0.8%)

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)

sample11.0ms (0.4%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.3%)

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)

rewrite8.0ms (0.3%)

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 (2.7%)

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

prune19.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	27	4	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	5	32

Error

0.0b

Counts

32 → 5

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)
	33.0b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))
	0.4b	(.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))

Compiler

Compiled 400 to 258 computations (35.5% 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))

rewrite6.0ms (0.3%)

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:

5.0ms

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

simplify108.0ms (4.4%)

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

prune47.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	44	6	50

Error

0.0b

Counts

50 → 6

Alt Table

Status	Error	Program
	0.4b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (*.f64 x 3) x)))
	0.9b	(.f64 (.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
✓	0.2b	(.f64 (.f64 x 3) x)
	33.0b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 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))

Compiler

Compiled 568 to 434 computations (23.6% saved)

localize6.0ms (0.2%)

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))

series20.0ms (0.8%)

Counts

2 → 12

Calls

2 calls:

14.0ms	(.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))

rewrite16.0ms (0.6%)

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))

simplify81.0ms (3.3%)

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

prune86.0ms (3.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	89	6	95

Error

Counts

95 → 6

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)
▶	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3))))))
	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)))))
	0.4b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (*.f64 x 3) x)))
	26.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (cbrt.f64 (*.f64 3 (pow.f64 x 6))))
✓	0.2b	(*.f64 3 (pow.f64 x 2))

Compiler

Compiled 1666 to 1439 computations (13.6% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series1.1s (45.4%)

Counts

4 → 48

Calls

4 calls:

332.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3))))))
317.0ms	(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3)))))
247.0ms	(*.f64 x (cbrt.f64 (sqrt.f64 3)))
225.0ms	(.f64 x (.f64 x (cbrt.f64 (sqrt.f64 3))))

rewrite40.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-exp-log_binary64`
52×	`pow1_binary64`
34×	`cbrt-unprod_binary64`
34×	`prod-exp_binary64`
34×	`pow-prod-down_binary64`

Counts

4 → 113

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3))))))
7.0ms	(.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3)))))
7.0ms	(.f64 x (.f64 x (cbrt.f64 (sqrt.f64 3))))
4.0ms	(*.f64 x (cbrt.f64 (sqrt.f64 3)))

simplify149.0ms (6%)

Algorithm

1×	egg-herbie

Rules

995×	`fma-def_binary64`
605×	`*-commutative_binary64`
348×	`associate-+l+_binary64`
322×	`log-prod_binary64`
319×	`exp-prod_binary64`

Counts

161 → 145

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	133	3473
1	289	2111
2	1179	1911
3	2163	1862
4	3990	1835
5	4933	1835
6	4920	1835

prune142.0ms (5.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	146	5	151

Error

Counts

151 → 5

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 x 3) x)
	0.2b	(.f64 (.f64 (pow.f64 3 2/3) (cbrt.f64 (sqrt.f64 3))) (.f64 x (.f64 x (cbrt.f64 (sqrt.f64 3)))))
✓	0.3b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (cbrt.f64 (sqrt.f64 3)) (.f64 x (*.f64 x (cbrt.f64 (sqrt.f64 3))))))
	26.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (cbrt.f64 (*.f64 3 (pow.f64 x 6))))
✓	0.2b	(*.f64 3 (pow.f64 x 2))

Compiler

Compiled 3357 to 2888 computations (14% saved)

regimes100.0ms (4%)

Accuracy

Total 0.2b remaining (91.1%)

Threshold costs 0.2b (91.1%)

Counts

51 → 1

Compiler

Compiled 1492 to 1282 computations (14.1% 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)

sample392.0ms (15.9%)

Algorithm

1×

intervals

Results

156.0ms

8000×

body

128

valid

Compiler

Compiled 73 to 61 computations (16.4% saved)

Details

analyze19.0ms (0.8%)

sample11.0ms (0.4%)

simplify6.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite8.0ms (0.3%)

simplify68.0ms (2.7%)

prune19.0ms (0.8%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite6.0ms (0.3%)

simplify108.0ms (4.4%)

prune47.0ms (1.9%)

localize6.0ms (0.2%)

series20.0ms (0.8%)

rewrite16.0ms (0.6%)

simplify81.0ms (3.3%)

prune86.0ms (3.5%)

localize9.0ms (0.4%)

series1.1s (45.4%)

rewrite40.0ms (1.6%)

simplify149.0ms (6%)

prune142.0ms (5.7%)

regimes100.0ms (4%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample392.0ms (15.9%)

Profiling