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
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

sample17.0ms (1.4%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

valid

simplify134.0ms (11.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4767	9
1	4767	9

prune7.0ms (0.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

localize6.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (pow.f64 x 3)))
0.1b	(*.f64 0.12900613773279798 (pow.f64 x 3))

rewrite12.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-l_binary64` `prod-exp_binary64`
2×	`pow1_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

2 → 42

Calls

2 calls:

7.0ms	(*.f64 0.12900613773279798 (pow.f64 x 3))
4.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (pow.f64 x 3)))

series20.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

13.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (pow.f64 x 3)))
6.0ms	(*.f64 0.12900613773279798 (pow.f64 x 3))

simplify55.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4894	393
1	4894	393

prune73.0ms (6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (.f64 (.f64 x x) x)))
0.1b	(.f64 0.12900613773279798 (.f64 (*.f64 x x) x))
0.2b	(.f64 (.f64 x x) x)

rewrite22.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary64`
17×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`pow-prod-up_binary64` `pow-plus_binary64` `add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `unswap-sqr_binary64` `pow3_binary64` `flip--_binary64`

Counts

3 → 60

Calls

3 calls:

9.0ms	(.f64 0.12900613773279798 (.f64 (*.f64 x x) x))
6.0ms	(.f64 (.f64 x x) x)
5.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (.f64 (.f64 x x) x)))

series25.0ms (2%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 0.12900613773279798 (.f64 (.f64 x x) x)))
6.0ms	(.f64 0.12900613773279798 (.f64 (*.f64 x x) x))
5.0ms	(.f64 (.f64 x x) x)

simplify38.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5003	413

prune83.0ms (6.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	69	7	76

Merged error: 0.0b

Counts

76 → 7

localize6.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 0.12900613773279798 (.f64 x x)) x))
0.1b	(.f64 (.f64 0.12900613773279798 (*.f64 x x)) x)
0.2b	(.f64 0.12900613773279798 (.f64 x x))

rewrite20.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

3 → 52

Calls

3 calls:

8.0ms	(.f64 (.f64 0.12900613773279798 (*.f64 x x)) x)
6.0ms	(.f64 0.12900613773279798 (.f64 x x))
4.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 0.12900613773279798 (.f64 x x)) x))

series24.0ms (2%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (.f64 0.954929658551372 x) (.f64 (.f64 0.12900613773279798 (.f64 x x)) x))
6.0ms	(.f64 (.f64 0.12900613773279798 (*.f64 x x)) x)
5.0ms	(.f64 0.12900613773279798 (.f64 x x))

simplify46.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5021	462

prune75.0ms (6.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	62	6	68

Merged error: 0b

Counts

68 → 6

localize5.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 0.954929658551372 (.f64 0.12900613773279798 (.f64 x x)))
0.1b	(.f64 x (-.f64 0.954929658551372 (.f64 0.12900613773279798 (*.f64 x x))))
0.2b	(.f64 0.12900613773279798 (.f64 x x))

rewrite17.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`

Counts

3 → 52

Calls

3 calls:

6.0ms	(.f64 x (-.f64 0.954929658551372 (.f64 0.12900613773279798 (*.f64 x x))))
6.0ms	(.f64 0.12900613773279798 (.f64 x x))
3.0ms	(-.f64 0.954929658551372 (.f64 0.12900613773279798 (.f64 x x)))

series28.0ms (2.3%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(.f64 x (-.f64 0.954929658551372 (.f64 0.12900613773279798 (*.f64 x x))))
10.0ms	(-.f64 0.954929658551372 (.f64 0.12900613773279798 (.f64 x x)))
5.0ms	(.f64 0.12900613773279798 (.f64 x x))

simplify37.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	4983	540
1	4983	540

prune65.0ms (5.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	61	6	67

Merged error: 0b

Counts

67 → 6

regimes70.0ms (5.8%)

Accuracy

Total 0.1b remaining (86.5%)

Threshold costs 0.1b (86.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	9
1	36	9

end0.0ms (0%)

sample311.0ms (25.8%)

Algorithm

1×

intervals

Results

226.0ms

8000×

body

valid

Details

analyze4.0ms (0.3%)

sample17.0ms (1.4%)

simplify134.0ms (11.1%)

prune7.0ms (0.5%)

localize6.0ms (0.5%)

rewrite12.0ms (1%)

series20.0ms (1.6%)

simplify55.0ms (4.6%)

prune73.0ms (6%)

localize6.0ms (0.5%)

rewrite22.0ms (1.8%)

series25.0ms (2%)

simplify38.0ms (3.2%)

prune83.0ms (6.8%)

localize6.0ms (0.5%)

rewrite20.0ms (1.6%)

series24.0ms (2%)

simplify46.0ms (3.8%)

prune75.0ms (6.2%)

localize5.0ms (0.4%)

rewrite17.0ms (1.4%)

series28.0ms (2.3%)

simplify37.0ms (3.1%)

prune65.0ms (5.4%)

regimes70.0ms (5.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample311.0ms (25.8%)

Profiling