Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

sample42.0ms

Algorithm

intervals

Results

18.0ms	110×	body	1280	valid
12.0ms	83×	body	640	valid
3.0ms	256×	pre	80	true
2.0ms	41×	body	320	valid
1.0ms	16×	body	160	valid
0.0ms	6×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	8	4
1	8	4

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: 58.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.1b	(-.f64 (exp.f64 x) 1)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
2×	`difference-of-squares_binary64`
1×	`sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `diff-log_binary64` `add-cube-cbrt_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`

Counts

1 → 15

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 x) 1)

series2.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(-.f64 (exp.f64 x) 1)

simplify29.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5144	126

prune33.0ms

Filtered

12 candidates to 18 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	4	19

Merged error: 0.0b

Counts

19 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.4b	(*.f64 x 1/6)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

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

series12.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(.f64 (.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
3.0ms	(*.f64 x 1/6)

simplify44.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4907	352
1	4907	352

prune40.0ms

Filtered

30 candidates to 47 candidates (-56.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Merged error: 0.0b

Counts

51 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt.f64 (-.f64 (exp.f64 x) 1))
4.1b	(-.f64 (exp.f64 x) 1)
4.1b	(-.f64 (exp.f64 x) 1)
4.1b	(-.f64 (exp.f64 x) 1)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
8×	`difference-of-squares_binary64`
7×	`cbrt-prod_binary64`
5×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `flip3--_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `diff-log_binary64`
2×	`cbrt-div_binary64`
1×	`pow1/3_binary64`

Counts

4 → 62

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)
5.0ms	(-.f64 (exp.f64 x) 1)

series25.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 (-.f64 (exp.f64 x) 1))
2.0ms	(-.f64 (exp.f64 x) 1)
2.0ms	(-.f64 (exp.f64 x) 1)
2.0ms	(-.f64 (exp.f64 x) 1)

simplify50.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4925	540
1	4925	540

prune64.0ms

Filtered

50 candidates to 74 candidates (-48.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	74	4	78

Merged error: 0.0b

Counts

78 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(sqrt.f64 (exp.f64 x))
0.0b	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
4.2b	(+.f64 -1 (sqrt.f64 (exp.f64 x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64`
15×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
8×	`pow1_binary64` `sqrt-pow1_binary64`
7×	`flip3-+_binary64` `sqrt-prod_binary64` `flip-+_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `exp-prod_binary64`
5×	`associate-l_binary64`
4×	`distribute-lft-out_binary64` `associate-r_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

2.0ms	(sqrt.f64 (exp.f64 x))
2.0ms	(sqrt.f64 (exp.f64 x))
11.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
5.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))

series20.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (exp.f64 x))
3.0ms	(sqrt.f64 (exp.f64 x))
10.0ms	(*.f64 (+.f64 1 (sqrt.f64 (exp.f64 x))) (+.f64 -1 (sqrt.f64 (exp.f64 x))))
4.0ms	(+.f64 -1 (sqrt.f64 (exp.f64 x)))

simplify53.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5241	612

prune64.0ms

Filtered

66 candidates to 87 candidates (-31.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	88	3	91

Merged error: 0b

Counts

91 → 3

regimes89.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	11
1	12	11

end0.0ms

sample1.1s

Algorithm

intervals

Results

523.0ms	3346×	body	1280	valid
240.0ms	2483×	body	640	valid
84.0ms	8001×	pre	80	true
83.0ms	1338×	body	320	valid
23.0ms	607×	body	160	valid
4.0ms	226×	body	80	valid
0.0ms	1×	body	80	invalid

Details

analyze3.0ms

sample42.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series2.0ms

simplify29.0ms

prune33.0ms

localize6.0ms

rewrite14.0ms

series12.0ms

simplify44.0ms

prune40.0ms

localize6.0ms

rewrite20.0ms

series25.0ms

simplify50.0ms

prune64.0ms

localize6.0ms

rewrite22.0ms

series20.0ms

simplify53.0ms

prune64.0ms

regimes89.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling