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

sample28.0ms

Algorithm

intervals

Results

12.0ms	67×	body	1024	valid
5.0ms	52×	body	512	valid
3.0ms	110×	body	128	valid
2.0ms	9×	body	2048	valid
1.0ms	18×	body	256	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	168	9
1	168	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: 37.6b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.6b	(-.f64 (exp.f64 x) 1)

rewrite17.0ms

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:

8.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
5.0ms	(-.f64 (exp.f64 x) 1)

series72.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
19.0ms	(-.f64 (exp.f64 x) 1)

simplify61.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4957	1013
1	4957	1013

prune48.0ms

Filtered

43 candidates to 67 candidates (-55.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	64	3	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	3	68

Merged error: 0.0b

Counts

68 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(.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:

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

series110.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
22.0ms	(*.f64 x 1/6)

simplify76.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4905	440
1	4905	440

prune30.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0.0b

Counts

49 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 x (+.f64 (exp.f64 x) 1))
0.0b	(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1)) (*.f64 x (+.f64 (exp.f64 x) 1)))
0.0b	(*.f64 (exp.f64 x) (exp.f64 x))
3.5b	(-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64` `exp-prod_binary64`
13×	`pow1_binary64` `add-cbrt-cube_binary64`
11×	`add-exp-log_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
5×	`pow-prod-down_binary64`
4×	`pow-prod-up_binary64` `associate-r/_binary64` `associate-/l_binary64` `times-frac_binary64` `pow-sqr_binary64`
3×	`swap-sqr_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `difference-of-squares_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `unswap-sqr_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`
1×	`associate-/r*_binary64` `sub-neg_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `pow2_binary64`

Counts

4 → 97

Calls

4 calls:

7.0ms	(*.f64 x (+.f64 (exp.f64 x) 1))
15.0ms	(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1)) (*.f64 x (+.f64 (exp.f64 x) 1)))
7.0ms	(*.f64 (exp.f64 x) (exp.f64 x))
7.0ms	(-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1))

series259.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(*.f64 x (+.f64 (exp.f64 x) 1))
160.0ms	(/.f64 (-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1)) (*.f64 x (+.f64 (exp.f64 x) 1)))
25.0ms	(*.f64 (exp.f64 x) (exp.f64 x))
37.0ms	(-.f64 (.f64 (exp.f64 x) (exp.f64 x)) (.f64 1 1))

simplify62.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4987	1230
1	4987	1230

prune78.0ms

Filtered

77 candidates to 109 candidates (-41.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 2)
0.1b	(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 3))
0.1b	(pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 3)
3.5b	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

24×	`unpow-prod-down_binary64`
23×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
20×	`difference-of-sqr--1_binary64`
16×	`cube-prod_binary64`
13×	`add-cube-cbrt_binary64`
8×	`sqr-pow_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `pow1_binary64` `unpow2_binary64`
5×	`distribute-lft-out_binary64` `pow-pow_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cube-div_binary64`
3×	`flip3-+_binary64` `flip-+_binary64` `exp-prod_binary64`
2×	`cbrt-div_binary64` `pow-to-exp_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`rem-cbrt-cube_binary64` `pow1/3_binary64` `rem-cube-cbrt_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 105

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 x) 2)
9.0ms	(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 3))
9.0ms	(pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 3)
7.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

series187.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(pow.f64 (exp.f64 x) 2)
37.0ms	(cbrt.f64 (pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 3))
89.0ms	(pow.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) 3)
36.0ms	(+.f64 (pow.f64 (exp.f64 x) 2) -1)

simplify78.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5297	1556

prune67.0ms

Filtered

61 candidates to 117 candidates (-91.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	117	4	121

Merged error: 0.0b

Counts

121 → 4

regimes16.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 20.4b

bsearch14.0ms

Steps

Iters	Range		Point
8	-0.0006385693668335735	-3.952590414471764e-08	-0.00016710770978154628

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	44
1	31	44

end0.0ms

sample889.0ms

Algorithm

intervals

Results

470.0ms	2680×	body	1024	valid
133.0ms	1384×	body	512	valid
78.0ms	2980×	body	128	valid
50.0ms	263×	body	2048	valid
43.0ms	693×	body	256	valid
0.0ms	1×	body	128	invalid

Details

analyze4.0ms

sample28.0ms

simplify16.0ms

prune1.0ms

localize4.0ms

rewrite17.0ms

series72.0ms

simplify61.0ms

prune48.0ms

localize6.0ms

rewrite12.0ms

series110.0ms

simplify76.0ms

prune30.0ms

localize9.0ms

rewrite45.0ms

series259.0ms

simplify62.0ms

prune78.0ms

localize11.0ms

rewrite37.0ms

series187.0ms

simplify78.0ms

prune67.0ms

regimes16.0ms

bsearch14.0ms

simplify2.0ms

end0.0ms

sample889.0ms

Profiling