Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 7 to 5 computations (28.6% saved)

sample499.0ms (33.4%)

Infinites

26.2% of outputs are infinite.

Results

455.0ms

8256×

body

128

valid

Compiler

Compiled 20 to 14 computations (30% saved)

simplify8.0ms (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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(.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
✓	0.1b	(.f64 (.f64 x 3) x)

series3.0ms (0.2%)

Counts

1 → 12

Calls

1 calls:

2.0ms

(*.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)

simplify78.0ms (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

prune27.0ms (1.8%)

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
	0.3b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (*.f64 x 3) x)))
	0.7b	(.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))
✓	0.1b	(.f64 (.f64 x 3) x)
	32.6b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

Compiler

Compiled 400 to 258 computations (35.5% saved)

localize4.0ms (0.3%)

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 (0.3%)

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:

4.0ms

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

simplify107.0ms (7.1%)

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

prune41.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

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

Error

0.0b

Counts

50 → 6

Alt Table

Status	Error	Program
▶	0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
	0.3b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (*.f64 x 3) x)))
	0.7b	(.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))
✓	0.1b	(.f64 (.f64 x 3) x)
	32.6b	(.f64 (.f64 3 (pow.f64 x 3/2)) (sqrt.f64 x))

Compiler

Compiled 586 to 448 computations (23.5% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.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))

series46.0ms (3.1%)

Counts

2 → 12

Calls

2 calls:

39.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
7.0ms	(*.f64 (cbrt.f64 3) (pow.f64 x 2))

rewrite16.0ms (1.1%)

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:

8.0ms	(.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))

simplify84.0ms (5.6%)

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

prune96.0ms (6.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	2	1	3
Picked	0	1	1
Done	0	2	2
Total	89	6	95

Error

Counts

95 → 6

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
	0.3b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (*.f64 x 3) x)))
✓	0.1b	(.f64 (.f64 x 3) x)
▶	0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (cbrt.f64 3) x) x))
✓	0.2b	(*.f64 3 (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)))))

Compiler

Compiled 1643 to 1417 computations (13.8% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (cbrt.f64 3) x) x))
✓	0.1b	(.f64 (.f64 (cbrt.f64 3) x) x)
✓	0.4b	(*.f64 (cbrt.f64 3) x)

series73.0ms (4.9%)

Counts

3 → 24

Calls

3 calls:

51.0ms	(.f64 (.f64 (cbrt.f64 3) x) x)
16.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (cbrt.f64 3) x) x))
5.0ms	(*.f64 (cbrt.f64 3) x)

rewrite22.0ms (1.5%)

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:

9.0ms	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (cbrt.f64 3) x) x))
5.0ms	(.f64 (.f64 (cbrt.f64 3) x) x)
3.0ms	(*.f64 (cbrt.f64 3) x)

simplify111.0ms (7.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

98 → 95

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

prune95.0ms (6.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	95	6	101

Error

Counts

101 → 6

Alt Table

Status	Error	Program
✓	0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (*.f64 (cbrt.f64 3) (pow.f64 x 2)))
	0.3b	(.f64 (sqrt.f64 (.f64 (.f64 x 3) x)) (sqrt.f64 (.f64 (*.f64 x 3) x)))
✓	0.1b	(.f64 (.f64 x 3) x)
✓	0.2b	(.f64 (.f64 (cbrt.f64 3) (cbrt.f64 3)) (.f64 (.f64 (cbrt.f64 3) x) x))
✓	0.2b	(*.f64 3 (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)))))

Compiler

Compiled 1672 to 1325 computations (20.8% saved)

regimes61.0ms (4.1%)

Accuracy

Total 0.1b remaining (94.9%)

Threshold costs 0.1b (94.9%)

Counts

28 → 1

Compiler

Compiled 800 to 632 computations (21% 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

end91.0ms (6.1%)

Compiler: Compiled 82 to 66 computations (19.5% saved)

Details

analyze1.0ms (0%)

sample499.0ms (33.4%)

simplify8.0ms (0.5%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite5.0ms (0.4%)

simplify78.0ms (5.2%)

prune27.0ms (1.8%)

localize4.0ms (0.3%)

series3.0ms (0.2%)

rewrite5.0ms (0.3%)

simplify107.0ms (7.1%)

prune41.0ms (2.8%)

localize7.0ms (0.5%)

series46.0ms (3.1%)

rewrite16.0ms (1.1%)

simplify84.0ms (5.6%)

prune96.0ms (6.4%)

localize6.0ms (0.4%)

series73.0ms (4.9%)

rewrite22.0ms (1.5%)

simplify111.0ms (7.4%)

prune95.0ms (6.4%)

regimes61.0ms (4.1%)

simplify2.0ms (0.1%)

end91.0ms (6.1%)

Profiling