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

sample90.0ms

Algorithm

intervals

Results

26.0ms	45×	body	1280	valid
18.0ms	52×	body	640	valid
8.0ms	108×	body	80	valid
7.0ms	4×	body	2560	valid
6.0ms	29×	body	320	valid
3.0ms	18×	body	160	valid
3.0ms	53×	body	80	nan
2.0ms	10×	body	320	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

simplify243.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (236.0ms)

Iter	Nodes	Cost
0	4988	13
1	4988	13

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: 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))))

rewrite32.0ms

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))
10.0ms	(/.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))))

series72.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 y (exp.f64 z))
44.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
16.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))

simplify46.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5029	1261

prune92.0ms

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))
9.0ms	(/.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)))

series71.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 y (exp.f64 z))
43.0ms	(/.f64 (log.f64 (+.f64 1 (-.f64 (*.f64 y (exp.f64 z)) y))) t)
7.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
16.0ms	(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

prune67.0ms

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

localize25.0ms

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))))))
9.0ms	(log.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y (exp.f64 z)) y) 3)))

series148.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(-.f64 1 (exp.f64 z))
2.0ms	(-.f64 (exp.f64 z) 1)
68.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
76.0ms	(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 (20.0ms)

Iter	Nodes	Cost
0	5027	1209

prune89.0ms

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

localize32.0ms

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))))))
9.0ms	(log.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y (exp.f64 z)) y) 3)))

series285.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(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))))))
68.0ms	(log.f64 (+.f64 1 (.f64 y (+.f64 (.f64 y (pow.f64 (-.f64 (exp.f64 z) 1) 2)) (-.f64 1 (exp.f64 z))))))
76.0ms	(log.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 y (exp.f64 z)) y) 3)))

simplify52.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4961	2230
1	4961	2230

prune177.0ms

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

regimes537.0ms

Accuracy

49.5% (5.3b remaining)

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

bsearch57.0ms

Steps

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

simplify9.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (7.0ms)

Iter	Nodes	Cost
0	378	36
1	378	36

end0.0ms

sample2.8s

Algorithm

intervals

Results

852.0ms	1427×	body	1280	valid
577.0ms	1634×	body	640	valid
263.0ms	3439×	body	80	valid
213.0ms	927×	body	320	valid
128.0ms	90×	body	2560	valid
78.0ms	1533×	body	80	nan
71.0ms	282×	body	640	nan
68.0ms	483×	body	160	valid
49.0ms	873×	body	80	overflowed
44.0ms	114×	body	1280	nan
38.0ms	204×	body	320	nan
14.0ms	121×	body	160	nan
2.0ms	1×	body	1280	invalid
1.0ms	17×	body	80	invalid
1.0ms	2×	body	640	invalid

Details

analyze1.2s

sample90.0ms

simplify243.0ms

prune3.0ms

localize10.0ms

rewrite32.0ms

series72.0ms

simplify46.0ms

prune92.0ms

localize10.0ms

rewrite30.0ms

series71.0ms

simplify57.0ms

prune67.0ms

localize25.0ms

rewrite24.0ms

series148.0ms

simplify30.0ms

prune89.0ms

localize32.0ms

rewrite21.0ms

series285.0ms

simplify52.0ms

prune177.0ms

regimes537.0ms

bsearch57.0ms

simplify9.0ms

end0.0ms

sample2.8s

Profiling