Details

analyze3.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
62.5%	25%	12.5%	4
68.7%	12.5%	18.8%	5
71.8%	6.2%	21.9%	6
73.4%	3.1%	23.5%	7
74.2%	1.6%	24.3%	8
74.6%	0.8%	24.6%	9
75%	0.4%	24.6%	10
75.1%	0.2%	24.7%	11
75.1%	0.1%	24.8%	12
75.1%	0%	24.8%	13
75.2%	0%	24.8%	14

sample30.0ms (2.1%)

Algorithm

1×

intervals

Results

14.0ms	71×	body	1280	valid
6.0ms	47×	body	640	valid
2.0ms	95×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	17×	body	160	valid

simplify15.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	228	6
1	228	6

prune4.0ms (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: 38.4b

Counts

2 → 1

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1.0) x)
5.1b	(-.f64 (exp.f64 x) 1.0)

rewrite16.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
5×	`difference-of-squares_binary64` `associate-/l*_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r*_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 51

Calls

2 calls:

9.0ms	(/.f64 (-.f64 (exp.f64 x) 1.0) x)
5.0ms	(-.f64 (exp.f64 x) 1.0)

series8.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

6.0ms	(/.f64 (-.f64 (exp.f64 x) 1.0) x)
3.0ms	(-.f64 (exp.f64 x) 1.0)

simplify49.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4909	534
1	4909	534

prune75.0ms (5.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	56	2	58

Merged error: 0b

Counts

58 → 2

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 1/2 (*.f64 x 1/6))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite15.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)
3.0ms	(+.f64 1/2 (*.f64 x 1/6))

series19.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

9.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
5.0ms	(*.f64 x 1/6)
5.0ms	(+.f64 1/2 (*.f64 x 1/6))

simplify70.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4818	397
1	4818	397

prune67.0ms (4.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	60	2	62

Merged error: 0b

Counts

62 → 2

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 x) x)
4.5b	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1.0 x))

rewrite21.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
19×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `associate-/l_binary64` `div-inv_binary64`
2×	`pow1_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `sub-div_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

2 → 49

Calls

2 calls:

15.0ms	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1.0 x))
5.0ms	(/.f64 (exp.f64 x) x)

series11.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

7.0ms	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1.0 x))
4.0ms	(/.f64 (exp.f64 x) x)

simplify50.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4909	495
1	4909	495

prune48.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	55	2	57

Merged error: 0b

Counts

57 → 2

regimes28.0ms (1.9%)

Accuracy

Total 0.3b remaining (82.8%)

Threshold costs 0.3b (82.8%)

bsearch11.0ms (0.7%)

Steps

Iters	Range		Point
9	-453.755762444887	-4.833910744902829e-06	-0.0001604708517879611

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	21
1	37	21

end0.0ms (0%)

sample901.0ms (61.9%)

Algorithm

1×

intervals

Results

430.0ms	2250×	body	1280	valid
203.0ms	1646×	body	640	valid
69.0ms	865×	body	320	valid
65.0ms	2797×	body	80	valid
23.0ms	442×	body	160	valid

Details

analyze3.0ms (0.2%)

sample30.0ms (2.1%)

simplify15.0ms (1%)

prune4.0ms (0.3%)

localize4.0ms (0.3%)

rewrite16.0ms (1.1%)

series8.0ms (0.6%)

simplify49.0ms (3.3%)

prune75.0ms (5.2%)

localize6.0ms (0.4%)

rewrite15.0ms (1%)

series19.0ms (1.3%)

simplify70.0ms (4.8%)

prune67.0ms (4.6%)

localize5.0ms (0.3%)

rewrite21.0ms (1.4%)

series11.0ms (0.7%)

simplify50.0ms (3.5%)

prune48.0ms (3.3%)

regimes28.0ms (1.9%)

bsearch11.0ms (0.7%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample901.0ms (61.9%)

Profiling