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

sample30.0ms

Algorithm

intervals

Results

14.0ms	80×	body	1280	valid
5.0ms	45×	body	640	valid
2.0ms	29×	body	320	valid
2.0ms	88×	body	80	valid
1.0ms	14×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	167	6
1	167	6

prune2.0ms

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: 40.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.9b	(-.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)

series8.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)
3.0ms	(-.f64 (exp.f64 x) 1)

simplify55.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4966	644
1	4966	644

prune41.0ms

Filtered

43 candidates to 67 candidates (-55.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	62	5	67
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	5	68

Merged error: 0.1b

Counts

68 → 5

localize5.0ms

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)

rewrite13.0ms

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)

series9.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
2.0ms	(*.f64 x 1/6)

simplify47.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5037	298

prune26.0ms

Filtered

32 candidates to 46 candidates (-43.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	47	4	51

Merged error: 0.1b

Counts

51 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))
0.1b	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
0.3b	(*.f64 x 1/6)
4.1b	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-log-exp_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`log-prod_binary64`
4×	`exp-sum_binary64`
3×	`log-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `-commutative_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `flip-+_binary64`

Counts

4 → 68

Calls

4 calls:

5.0ms	(exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
4.0ms	(*.f64 x 1/6)
2.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))

series19.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/6) 1/2))
2.0ms	(*.f64 x 1/6)
7.0ms	(log.f64 (exp.f64 (.f64 x (+.f64 (.f64 x 1/6) 1/2))))

simplify59.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5094	578

prune41.0ms

Filtered

51 candidates to 80 candidates (-56.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	80	4	84

Merged error: 0.1b

Counts

84 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (exp.f64 x) x)
3.4b	(-.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)
14.0ms	(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))

series8.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify42.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5210	539

prune23.0ms

Filtered

45 candidates to 60 candidates (-33.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	60	4	64

Merged error: 0.1b

Counts

64 → 4

regimes22.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 21.6b

bsearch12.0ms

Steps

Iters	Range		Point
9	-49095.11411212256	-2.6820498398262186e-05	-0.00020381535193601385

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	23
1	25	23

end0.0ms

sample919.0ms

Algorithm

intervals

Results

437.0ms	2289×	body	1280	valid
206.0ms	1636×	body	640	valid
70.0ms	2798×	body	80	valid
70.0ms	827×	body	320	valid
24.0ms	450×	body	160	valid

Details

analyze4.0ms

sample30.0ms

simplify12.0ms

prune2.0ms

localize4.0ms

rewrite14.0ms

series8.0ms

simplify55.0ms

prune41.0ms

localize5.0ms

rewrite13.0ms

series9.0ms

simplify47.0ms

prune26.0ms

localize8.0ms

rewrite20.0ms

series19.0ms

simplify59.0ms

prune41.0ms

localize5.0ms

rewrite20.0ms

series8.0ms

simplify42.0ms

prune23.0ms

regimes22.0ms

bsearch12.0ms

simplify2.0ms

end0.0ms

sample919.0ms

Profiling