Details

analyze4.0ms

Algorithm

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

sample34.0ms

Algorithm

intervals

Results

16.0ms	75×	body	1280	valid
8.0ms	62×	body	640	valid
2.0ms	89×	body	80	valid
2.0ms	22×	body	320	valid
0.0ms	8×	body	160	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (14.0ms)

Iter	Nodes	Cost
0	169	9
1	169	9

prune1.0ms

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: 40.1b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
1.9b	(-.f64 (exp.f64 x) 1)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
21×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
7×	`associate-/l*_binary64`
5×	`difference-of-sqr-1_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 → 61

Calls

2 calls:

7.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

series36.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
9.0ms	(-.f64 (exp.f64 x) 1)

simplify71.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4938	1013
1	4938	1013

prune47.0ms

Filtered

43 candidates to 67 candidates (-55.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	63	4	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	4	68

Merged error: 0.0b

Counts

68 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

8.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series51.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
13.0ms	(*.f64 x 1/6)

simplify95.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4907	440
1	4907	440

prune27.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	46	4	50

Merged error: 0.0b

Counts

50 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 x) x)
1.6b	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 54

Calls

2 calls:

4.0ms	(/.f64 (exp.f64 x) x)
13.0ms	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

series40.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/.f64 (exp.f64 x) x)
22.0ms	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

simplify67.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5193	849

prune32.0ms

Filtered

44 candidates to 60 candidates (-36.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
1.9b	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
1.9b	(-.f64 (exp.f64 x) 1)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt_binary64`
43×	`*-un-lft-identity_binary64`
40×	`log-pow_binary64`
35×	`exp-prod_binary64`
33×	`times-frac_binary64`
25×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64`
11×	`associate-/l*_binary64`
8×	`pow1_binary64`
6×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`log-prod_binary64`
3×	`associate-/r*_binary64`
2×	`sub-neg_binary64` `exp-diff_binary64` `log-div_binary64`
1×	`flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `div-sub_binary64` `clear-num_binary64` `exp-sum_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

3 → 96

Calls

3 calls:

9.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
5.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
4.0ms	(-.f64 (exp.f64 x) 1)

series43.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(/.f64 (log.f64 (exp.f64 (-.f64 (exp.f64 x) 1))) x)
9.0ms	(log.f64 (exp.f64 (-.f64 (exp.f64 x) 1)))
9.0ms	(-.f64 (exp.f64 x) 1)

simplify79.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4985	1522
1	4985	1522

prune44.0ms

Filtered

64 candidates to 105 candidates (-64.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	105	5	110

Merged error: 0.0b

Counts

110 → 5

regimes17.0ms

Accuracy

98.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.2b

bsearch14.0ms

Steps

Iters	Range		Point
10	-0.044359626803222245	-9.482010696952544e-17	-7.704707591294232e-05

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	31
1	43	31

end0.0ms

sample927.0ms

Algorithm

intervals

Results

444.0ms	2286×	body	1280	valid
213.0ms	1641×	body	640	valid
67.0ms	815×	body	320	valid
66.0ms	2829×	body	80	valid
26.0ms	429×	body	160	valid

Details

analyze4.0ms

sample34.0ms

simplify22.0ms

prune1.0ms

localize4.0ms

rewrite14.0ms

series36.0ms

simplify71.0ms

prune47.0ms

localize5.0ms

rewrite12.0ms

series51.0ms

simplify95.0ms

prune27.0ms

localize7.0ms

rewrite20.0ms

series40.0ms

simplify67.0ms

prune32.0ms

localize6.0ms

rewrite22.0ms

series43.0ms

simplify79.0ms

prune44.0ms

regimes17.0ms

bsearch14.0ms

simplify3.0ms

end0.0ms

sample927.0ms

Profiling