Details

analyze69.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
43.7%	43.7%	12.6%	6
53.1%	31.2%	15.7%	7
59.3%	18.7%	22%	8
62.4%	14%	23.5%	9
64.8%	8.6%	26.6%	10
66%	6.6%	27.4%	11
66.9%	4.1%	29%	12
67.4%	3.2%	29.4%	13
67.9%	2%	30.1%	14

sample24.0ms

Algorithm

intervals

Results

10.0ms	237×	body	80	valid
2.0ms	5×	body	640	valid
1.0ms	2×	body	1280	valid
1.0ms	8×	body	160	valid
1.0ms	4×	body	320	valid
0.0ms	1×	body	80	invalid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5973	9

prune3.0ms

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: 0.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1.0 (exp.f64 x))) (*.f64 x y))
0.0b	(+.f64 1.0 (exp.f64 x))
0.3b	(log.f64 (+.f64 1.0 (exp.f64 x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
6×	`add-log-exp_binary64`
5×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `log-div_binary64` `associate--l+_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
2×	`associate--l-_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 44

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 1.0 (exp.f64 x))) (*.f64 x y))
4.0ms	(+.f64 1.0 (exp.f64 x))
4.0ms	(log.f64 (+.f64 1.0 (exp.f64 x)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(-.f64 (log.f64 (+.f64 1.0 (exp.f64 x))) (*.f64 x y))
2.0ms	(+.f64 1.0 (exp.f64 x))
14.0ms	(log.f64 (+.f64 1.0 (exp.f64 x)))

simplify91.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4842	504
1	4842	504

prune58.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	3	54

Merged error: 0.2b

Counts

54 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 x) 3)
0.3b	(log.f64 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 x) 3)))
4.5b	(-.f64 (exp.f64 x) 1.0)
4.7b	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
12×	`log-prod_binary64` `add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow1_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64`
5×	`distribute-lft-out_binary64` `add-cbrt-cube_binary64`
4×	`pow-pow_binary64` `log-div_binary64`
3×	`pow-unpow_binary64` `exp-prod_binary64`
2×	`flip3-+_binary64` `rem-log-exp_binary64` `log-pow_binary64` `flip-+_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sum-cubes_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 73

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 x) 3)
12.0ms	(log.f64 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 x) 3)))
5.0ms	(-.f64 (exp.f64 x) 1.0)
4.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))))

series61.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(pow.f64 (exp.f64 x) 3)
24.0ms	(log.f64 (+.f64 (pow.f64 1.0 3) (pow.f64 (exp.f64 x) 3)))
3.0ms	(-.f64 (exp.f64 x) 1.0)
28.0ms	(log.f64 (+.f64 (.f64 1.0 1.0) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1.0))))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5002	829

prune93.0ms

Filtered

57 candidates to 85 candidates (-49.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Merged error: 0.2b

Counts

88 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1.0 (exp.f64 x))
0.0b	(+.f64 (log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x)))) (*.f64 x y)))
1.0b	(log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x))))
1.0b	(log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x))))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod_binary64`
25×	`*-un-lft-identity_binary64`
16×	`sqrt-prod_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`add-log-exp_binary64` `associate-+r+_binary64`
7×	`distribute-lft-out_binary64` `log-pow_binary64` `associate-+l+_binary64` `associate--l+_binary64`
6×	`add-exp-log_binary64` `log-div_binary64` `sqrt-div_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`add-cbrt-cube_binary64`
3×	`sum-log_binary64`
2×	`pow1/2_binary64` `rem-log-exp_binary64` `associate-+l-_binary64` `sqrt-pow1_binary64` `+-commutative_binary64`
1×	`sub-neg_binary64` `associate-+r-_binary64` `diff-log_binary64`

Counts

4 → 84

Calls

4 calls:

4.0ms	(+.f64 1.0 (exp.f64 x))
14.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x)))) (*.f64 x y)))
4.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x))))

series56.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+.f64 1.0 (exp.f64 x))
22.0ms	(+.f64 (log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x)))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x)))) (*.f64 x y)))
16.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x))))
16.0ms	(log.f64 (sqrt.f64 (+.f64 1.0 (exp.f64 x))))

simplify48.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4951	1004
1	4951	1004

prune84.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	3	99

Merged error: 0.2b

Counts

99 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)
0.0b	(-.f64 (log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))) (*.f64 x y))
6.8b	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1_binary64` `add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `log-prod_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `log-div_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64` `associate--l+_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `associate-l_binary64` `unswap-sqr_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

3 → 49

Calls

3 calls:

6.0ms	(.f64 (.f64 x x) 1/2)
14.0ms	(-.f64 (log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))) (*.f64 x y))
8.0ms	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))

series21.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(.f64 (.f64 x x) 1/2)
12.0ms	(-.f64 (log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0))) (*.f64 x y))
5.0ms	(log.f64 (+.f64 (.f64 (.f64 x x) 1/2) (+.f64 x 2.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4937	746
1	4937	746

prune56.0ms

Filtered

44 candidates to 58 candidates (-31.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	58	3	61

Merged error: 0.2b

Counts

61 → 3

regimes72.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	63	26
1	63	26

end0.0ms

sample650.0ms

Algorithm

intervals

Results

330.0ms	7376×	body	80	valid
67.0ms	224×	body	640	valid
57.0ms	104×	body	1280	valid
29.0ms	157×	body	320	valid
15.0ms	139×	body	160	valid
2.0ms	45×	body	80	invalid
0.0ms	10×	body	80	overflowed

Details

analyze69.0ms

sample24.0ms

simplify88.0ms

prune3.0ms

localize7.0ms

rewrite16.0ms

series27.0ms

simplify91.0ms

prune58.0ms

localize15.0ms

rewrite26.0ms

series61.0ms

simplify57.0ms

prune93.0ms

localize9.0ms

rewrite29.0ms

series56.0ms

simplify48.0ms

prune84.0ms

localize9.0ms

rewrite29.0ms

series21.0ms

simplify52.0ms

prune56.0ms

regimes72.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample650.0ms

Profiling