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

sample89.0ms

Algorithm

intervals

Results

30.0ms	47×	body	1280	valid
16.0ms	46×	body	640	valid
9.0ms	122×	body	80	valid
4.0ms	3×	body	2560	valid
3.0ms	23×	body	160	valid
3.0ms	15×	body	320	valid
2.0ms	50×	body	80	nan
2.0ms	6×	body	1280	nan
2.0ms	6×	body	640	nan
1.0ms	26×	body	80	overflowed
1.0ms	6×	body	320	nan
0.0ms	2×	body	160	nan
0.0ms	2×	body	80	invalid

simplify240.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (237.0ms)

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: 23.6b

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)
1.0b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
1.9b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))

rewrite34.0ms

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:

6.0ms	(*.f64 y (exp.f64 z))
9.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
10.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 y (exp.f64 z))
38.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
6.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
15.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))

simplify48.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5029	1261

prune138.0ms

Filtered

68 candidates to 91 candidates (-33.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	83	8	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	8	92

Merged error: 5.7b

Counts

92 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

2.1b	(.f64 (.f64 1/2 (.f64 y (.f64 z z))) (-.f64 1 y))
3.3b	(+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y)))
7.1b	(/.f64 (+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y))) t)
7.9b	(.f64 y (.f64 z z))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`pow1_binary64`
18×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
13×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`times-frac_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64`
4×	`sub-neg_binary64` `associate-l_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `flip-+_binary64` `associate-+r+_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

4 → 92

Calls

4 calls:

13.0ms	(.f64 (.f64 1/2 (.f64 y (.f64 z z))) (-.f64 1 y))
6.0ms	(+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y)))
10.0ms	(/.f64 (+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y))) t)
6.0ms	(.f64 y (.f64 z z))

series62.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 (.f64 1/2 (.f64 y (.f64 z z))) (-.f64 1 y))
14.0ms	(+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y)))
27.0ms	(/.f64 (+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y))) t)
8.0ms	(.f64 y (.f64 z z))

simplify54.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5365	1512

prune146.0ms

Filtered

68 candidates to 104 candidates (-52.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	100	4	104
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	101	11	112

Merged error: 5.6b

Counts

112 → 11

localize21.0ms

Local error

Found 4 expressions with local error:

7.1b	(/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t)
26.5b	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
26.5b	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
26.5b	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `div-inv_binary64`
3×	`cbrt-div_binary64` `associate-/r*_binary64` `pow1/3_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `flip-+_binary64`

Counts

4 → 71

Calls

4 calls:

7.0ms	(/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t)
5.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
5.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
5.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))

series217.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t)
64.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
64.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
63.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5008	1784

prune197.0ms

Filtered

73 candidates to 83 candidates (-13.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	82	1	83
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	84	10	94

Merged error: 5.6b

Counts

94 → 10

localize27.0ms

Local error

Found 4 expressions with local error:

26.5b	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
26.5b	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
26.5b	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
26.5b	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
4×	`cbrt-div_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`

Counts

4 → 64

Calls

4 calls:

5.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
5.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
5.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
5.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))

series255.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
64.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
62.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))
65.0ms	(cbrt.f64 (/.f64 (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))) t))

simplify62.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4935	1636
1	4935	1636

prune236.0ms

Filtered

68 candidates to 76 candidates (-11.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	76	10	86

Merged error: 5.6b

Counts

86 → 10

regimes943.0ms

Accuracy

71.9% (5.1b remaining)

Error of 10.1b against oracle of 4.9b and baseline of 23.2b

bsearch2.0ms

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	150	40
1	150	40

end0.0ms

sample2.7s

Algorithm

intervals

Results

860.0ms	1449×	body	1280	valid
516.0ms	1494×	body	640	valid
263.0ms	3564×	body	80	valid
208.0ms	936×	body	320	valid
128.0ms	93×	body	2560	valid
78.0ms	1526×	body	80	nan
65.0ms	464×	body	160	valid
64.0ms	254×	body	640	nan
47.0ms	842×	body	80	overflowed
40.0ms	116×	body	1280	nan
33.0ms	196×	body	320	nan
10.0ms	98×	body	160	nan
1.0ms	20×	body	80	invalid

Details

analyze1.2s

sample89.0ms

simplify240.0ms

prune4.0ms

localize10.0ms

rewrite34.0ms

series64.0ms

simplify48.0ms

prune138.0ms

localize13.0ms

rewrite39.0ms

series62.0ms

simplify54.0ms

prune146.0ms

localize21.0ms

rewrite24.0ms

series217.0ms

simplify49.0ms

prune197.0ms

localize27.0ms

rewrite22.0ms

series255.0ms

simplify62.0ms

prune236.0ms

regimes943.0ms

bsearch2.0ms

simplify6.0ms

end0.0ms

sample2.7s

Profiling