Details

analyze263.0ms (10%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

sample27.0ms (1%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	12×	body	80	nan
0.0ms	2×	body	80	invalid

simplify235.0ms (9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (231.0ms)

Iter	Nodes	Cost
0	6359	11

prune7.0ms (0.3%)

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 → 1

localize13.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.3b	(*.f64 x (log.f64 y))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

2 → 42

Calls

2 calls:

5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
5.0ms	(*.f64 x (log.f64 y))

series20.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

11.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
9.0ms	(*.f64 x (log.f64 y))

simplify61.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4953	336
1	4953	336

prune62.0ms (2.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	46	2	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	3	49

Merged error: 0.0b

Counts

49 → 3

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.5b	(cbrt.f64 y)
0.5b	(cbrt.f64 y)

rewrite21.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64`
2×	`log-pow_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
5.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series82.0ms (3.1%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
22.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
18.0ms	(cbrt.f64 y)
18.0ms	(cbrt.f64 y)

simplify59.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4944	606
1	4944	606

prune113.0ms (4.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	90	3	93

Merged error: 0b

Counts

93 → 3

localize21.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x 1/3)
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 x 1/3) (log.f64 y)))
0.3b	(.f64 (.f64 x 1/3) (log.f64 y))
0.5b	(cbrt.f64 y)

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64` `pow1_binary64` `log-prod_binary64` `add-cube-cbrt_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
3×	`cbrt-prod_binary64`
2×	`*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/3_binary64` `log-pow_binary64` `unswap-sqr_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 71

Calls

4 calls:

8.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 x 1/3) (log.f64 y)))
6.0ms	(.f64 (.f64 x 1/3) (log.f64 y))
4.0ms	(*.f64 x 1/3)
1.0ms	(cbrt.f64 y)

series67.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

35.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 (.f64 x 1/3) (log.f64 y)))
21.0ms	(cbrt.f64 y)
9.0ms	(.f64 (.f64 x 1/3) (log.f64 y))
3.0ms	(*.f64 x 1/3)

simplify61.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4881	506
1	4881	506

prune97.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	83	3	86

Merged error: 0b

Counts

86 → 3

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))
0.6b	(cbrt.f64 (*.f64 x (log.f64 y)))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

5.0ms	(.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
3.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))

series111.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(.f64 (cbrt.f64 (.f64 x (log.f64 y))) (cbrt.f64 (*.f64 x (log.f64 y))))
26.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
24.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))
24.0ms	(cbrt.f64 (*.f64 x (log.f64 y)))

simplify39.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5373	427

prune71.0ms (2.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Merged error: 0b

Counts

73 → 3

regimes428.0ms (16.3%)

Accuracy

Total 0.1b remaining (62%)

Threshold costs 0.1b (62%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	21
1	42	21

end0.0ms (0%)

sample680.0ms (26%)

Algorithm

1×

intervals

Results

444.0ms	7999×	body	80	valid
17.0ms	415×	body	80	nan
1.0ms	16×	body	80	invalid
0.0ms	1×	body	1280	valid

Details

analyze263.0ms (10%)

sample27.0ms (1%)

simplify235.0ms (9%)

prune7.0ms (0.3%)

localize13.0ms (0.5%)

rewrite11.0ms (0.4%)

series20.0ms (0.8%)

simplify61.0ms (2.3%)

prune62.0ms (2.4%)

localize16.0ms (0.6%)

rewrite21.0ms (0.8%)

series82.0ms (3.1%)

simplify59.0ms (2.3%)

prune113.0ms (4.3%)

localize21.0ms (0.8%)

rewrite22.0ms (0.8%)

series67.0ms (2.6%)

simplify61.0ms (2.3%)

prune97.0ms (3.7%)

localize15.0ms (0.6%)

rewrite15.0ms (0.6%)

series111.0ms (4.2%)

simplify39.0ms (1.5%)

prune71.0ms (2.7%)

regimes428.0ms (16.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample680.0ms (26%)

Profiling