Details

analyze68.0ms

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

sample21.0ms

Algorithm

intervals

Results

11.0ms	239×	body	128	valid
2.0ms	9×	body	512	valid
2.0ms	4×	body	1024	valid
0.0ms	4×	body	256	valid
0.0ms	1×	body	128	overflowed

simplify123.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4704	14
1	4704	14

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: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0b	(log.f64 (+.f64 1 (exp.f64 x)))
0.0b	(+.f64 1 (exp.f64 x))

rewrite17.0ms

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 (exp.f64 x))) (*.f64 x y))
4.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
4.0ms	(+.f64 1 (exp.f64 x))

series174.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
88.0ms	(log.f64 (+.f64 1 (exp.f64 x)))
11.0ms	(+.f64 1 (exp.f64 x))

simplify81.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5052	757

prune46.0ms

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: 0b

Counts

54 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
0.0b	(pow.f64 (exp.f64 x) 2)
0.0b	(pow.f64 (exp.f64 x) 3)
5.0b	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`log-prod_binary64`
21×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
13×	`distribute-lft-out_binary64`
8×	`pow-pow_binary64`
7×	`pow1_binary64` `add-exp-log_binary64` `unpow-prod-down_binary64`
6×	`pow-unpow_binary64` `add-log-exp_binary64` `exp-prod_binary64`
5×	`add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
4×	`difference-of-squares_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `rem-log-exp_binary64` `associate-/r/_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `log-pow_binary64` `rem-cube-cbrt_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 101

Calls

4 calls:

20.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
4.0ms	(pow.f64 (exp.f64 x) 2)
4.0ms	(pow.f64 (exp.f64 x) 3)
7.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

series503.0ms

Counts

4 → 12

Calls

4 calls:

409.0ms	(log.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
21.0ms	(pow.f64 (exp.f64 x) 2)
36.0ms	(pow.f64 (exp.f64 x) 3)
37.0ms	(-.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))

simplify92.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5124	2228

prune97.0ms

Filtered

69 candidates to 113 candidates (-63.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	113	3	116

Merged error: 0b

Counts

116 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.7b	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
0.7b	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
0.7b	(*.f64 (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

34×	`sqrt-prod_binary64`
29×	`pow1_binary64`
28×	`add-sqr-sqrt_binary64`
18×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
11×	`swap-sqr_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`log-pow_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`rem-sqrt-square_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

4.0ms	(+.f64 1 (exp.f64 x))
2.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
2.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
8.0ms	(*.f64 (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))

series314.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+.f64 1 (exp.f64 x))
95.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
118.0ms	(sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x))))
90.0ms	(*.f64 (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))) (sqrt.f64 (log.f64 (+.f64 1 (exp.f64 x)))))

simplify52.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5204	1226

prune65.0ms

Filtered

54 candidates to 106 candidates (-96.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	106	3	109

Merged error: 0b

Counts

109 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (exp.f64 x))
0.0b	(+.f64 1 (exp.f64 x))
0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
0.7b	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
14×	`log-prod_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sqrt-prod_binary64`
6×	`log-pow_binary64` `add-exp-log_binary64`
4×	`flip3-+_binary64` `distribute-lft-out_binary64` `add-cbrt-cube_binary64` `log-div_binary64` `flip-+_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `rem-log-exp_binary64` `sqrt-pow1_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 64

Calls

4 calls:

4.0ms	(+.f64 1 (exp.f64 x))
4.0ms	(+.f64 1 (exp.f64 x))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
5.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

series249.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+.f64 1 (exp.f64 x))
10.0ms	(+.f64 1 (exp.f64 x))
113.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
117.0ms	(log.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))

simplify67.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4974	988
1	4974	988

prune61.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	76	3	79

Merged error: 0b

Counts

79 → 3

regimes23.0ms

Accuracy

0% (0.0b remaining)

Error of 0.6b against oracle of 0.5b and baseline of 0.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	33
1	53	33

end0.0ms

sample626.0ms

Algorithm

intervals

Results

336.0ms	7410×	body	128	valid
68.0ms	166×	body	1024	valid
54.0ms	249×	body	512	valid
21.0ms	175×	body	256	valid
2.0ms	46×	body	128	invalid
0.0ms	7×	body	128	overflowed

Details

analyze68.0ms

sample21.0ms

simplify123.0ms

prune2.0ms

localize8.0ms

rewrite17.0ms

series174.0ms

simplify81.0ms

prune46.0ms

localize13.0ms

rewrite46.0ms

series503.0ms

simplify92.0ms

prune97.0ms

localize10.0ms

rewrite23.0ms

series314.0ms

simplify52.0ms

prune65.0ms

localize10.0ms

rewrite23.0ms

series249.0ms

simplify67.0ms

prune61.0ms

regimes23.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample626.0ms

Profiling