Details

analyze1.2s

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

sample91.0ms

Algorithm

intervals

Results

25.0ms	45×	body	1280	valid
17.0ms	52×	body	640	valid
8.0ms	108×	body	80	valid
6.0ms	4×	body	2560	valid
6.0ms	29×	body	320	valid
6.0ms	10×	body	320	nan
2.0ms	18×	body	160	valid
2.0ms	53×	body	80	nan
1.0ms	24×	body	80	overflowed
1.0ms	4×	body	640	nan
1.0ms	2×	body	1280	nan
0.0ms	3×	body	160	nan
0.0ms	1×	body	80	invalid

simplify233.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (230.0ms)

Iter	Nodes	Cost
0	4988	13
1	4988	13

prune4.0ms

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: 26.8b

Counts

2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
1.6b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
2.6b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64`
9×	`add-log-exp_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`log-pow_binary64`
4×	`associate-/l*_binary64` `log-div_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-r_binary64` `log-prod_binary64` `associate-l*_binary64` `flip-+_binary64`
2×	`div-sub_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

4 → 79

Calls

4 calls:

5.0ms	(*.f64 y (exp.f64 z))
9.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
8.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
7.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))

series68.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 y (exp.f64 z))
41.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
15.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))

simplify43.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5029	1261

prune124.0ms

Filtered

68 candidates to 91 candidates (-33.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	7	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	85	7	92

Merged error: 5.2b

Counts

92 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y))) t)
2.2b	(-.f64 (*.f64 y (exp.f64 z)) y)
2.3b	(log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
12×	`times-frac_binary64`
11×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
5×	`log-pow_binary64`
4×	`log-prod_binary64` `associate-/l*_binary64` `log-div_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l*_binary64`
2×	`flip3-+_binary64` `div-sub_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 77

Calls

4 calls:

5.0ms	(*.f64 y (exp.f64 z))
10.0ms	(/.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y))) t)
6.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
7.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y)))

series69.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 y (exp.f64 z))
42.0ms	(/.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y))) t)
7.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
15.0ms	(log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y)))

simplify57.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4954	1196
1	4954	1196

prune103.0ms

Filtered

65 candidates to 89 candidates (-36.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	89	7	96

Merged error: 5.2b

Counts

96 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

2.2b	(-.f64 1 (exp.f64 z))
2.2b	(-.f64 (exp.f64 z) 1)
5.5b	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
6.9b	(log.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y (exp.f64 z)) y) 3)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
8×	`add-log-exp_binary64`
7×	`log-prod_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64` `difference-of-squares_binary64` `log-div_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `log-pow_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64` `difference-of-sqr-1_binary64`

Counts

4 → 58

Calls

4 calls:

5.0ms	(-.f64 1 (exp.f64 z))
5.0ms	(-.f64 (exp.f64 z) 1)
3.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
10.0ms	(log.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y (exp.f64 z)) y) 3)))

series150.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(-.f64 1 (exp.f64 z))
2.0ms	(-.f64 (exp.f64 z) 1)
70.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
75.0ms	(log.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y (exp.f64 z)) y) 3)))

simplify30.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5027	1209

prune117.0ms

Filtered

52 candidates to 70 candidates (-34.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	70	7	77

Merged error: 5.2b

Counts

77 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

5.5b	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
5.5b	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
5.5b	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
6.9b	(log.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y (exp.f64 z)) y) 3)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`log-prod_binary64`
10×	`*-un-lft-identity_binary64`
8×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-sqr-sqrt_binary64` `log-div_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `rem-log-exp_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
1×	`distribute-lft-out_binary64`

Counts

4 → 57

Calls

4 calls:

3.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
3.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
3.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
10.0ms	(log.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y (exp.f64 z)) y) 3)))

series279.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
70.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
67.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
73.0ms	(log.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y (exp.f64 z)) y) 3)))

simplify57.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4961	2230
1	4961	2230

prune203.0ms

Filtered

56 candidates to 69 candidates (-23.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	69	7	76

Merged error: 5.2b

Counts

76 → 7

regimes677.0ms

Accuracy

49.5% (5.3b remaining)

Error of 10.1b against oracle of 4.8b and baseline of 15.3b

bsearch55.0ms

Steps

Iters	Range		Point
8	-7.386663370778481e-57	-1.301883667923727e-59	-2.9637753977712162e-58

simplify8.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	378	36
1	378	36

end0.0ms

sample2.6s

Algorithm

intervals

Results

822.0ms	1427×	body	1280	valid
546.0ms	1634×	body	640	valid
244.0ms	3439×	body	80	valid
201.0ms	927×	body	320	valid
126.0ms	90×	body	2560	valid
75.0ms	1533×	body	80	nan
67.0ms	282×	body	640	nan
67.0ms	483×	body	160	valid
49.0ms	873×	body	80	overflowed
40.0ms	114×	body	1280	nan
34.0ms	204×	body	320	nan
13.0ms	121×	body	160	nan
1.0ms	17×	body	80	invalid
0.0ms	2×	body	640	invalid
0.0ms	1×	body	1280	invalid

Details

analyze1.2s

sample91.0ms

simplify233.0ms

prune4.0ms

localize10.0ms

rewrite31.0ms

series68.0ms

simplify43.0ms

prune124.0ms

localize10.0ms

rewrite30.0ms

series69.0ms

simplify57.0ms

prune103.0ms

localize22.0ms

rewrite24.0ms

series150.0ms

simplify30.0ms

prune117.0ms

localize30.0ms

rewrite21.0ms

series279.0ms

simplify57.0ms

prune203.0ms

regimes677.0ms

bsearch55.0ms

simplify8.0ms

end0.0ms

sample2.6s

Profiling