Details

analyze920.0ms

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

sample29.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
1.0ms	18×	body	80	invalid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (112.0ms)

Iter	Nodes	Cost
0	4952	11
1	4952	11

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: 8.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
8.6b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 53

Calls

2 calls:

7.0ms	(*.f64 y (-.f64 z t))
9.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

series28.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 y (-.f64 z t))
19.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

simplify48.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5985	485

prune77.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	53	6	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
2.2b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`div-sub_binary64`

Counts

2 → 194

Calls

2 calls:

8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
12.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

series38.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
28.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

simplify63.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5075	3149

prune150.0ms

Filtered

132 candidates to 200 candidates (-51.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	200	7	207

Merged error: 0b

Counts

207 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.3b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64`
70×	`*-un-lft-identity_binary64`
51×	`times-frac_binary64`
31×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64`
22×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

8.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
14.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series33.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
23.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify53.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5083	1163

prune82.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	108	7	115

Merged error: 0b

Counts

115 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 z a))
11.1b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
38×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-r*_binary64`
4×	`pow1_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
3×	`associate-/l*_binary64`
2×	`add-log-exp_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 85

Calls

2 calls:

5.0ms	(/.f64 y (-.f64 z a))
13.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

series36.0ms

Counts

2 → 6

Calls

2 calls:

9.0ms	(/.f64 y (-.f64 z a))
27.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

simplify54.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5978	882

prune64.0ms

Filtered

64 candidates to 91 candidates (-42.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	91	7	98

Merged error: 0b

Counts

98 → 7

regimes547.0ms

Accuracy

47% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 1.1b

bsearch23.0ms

Steps

Iters	Range		Point
4	4.398482731871033e-122	8.591047454618913e-122	5.259769225178744e-122
7	-6.787104963398635e-146	-3.717109394511877e-147	-6.58956908808249e-146

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	41
1	45	41

end0.0ms

sample574.0ms

Algorithm

intervals

Results

288.0ms	7997×	body	80	valid
24.0ms	712×	body	80	invalid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze920.0ms

sample29.0ms

simplify115.0ms

prune4.0ms

localize8.0ms

rewrite18.0ms

series28.0ms

simplify48.0ms

prune77.0ms

localize8.0ms

rewrite36.0ms

series38.0ms

simplify63.0ms

prune150.0ms

localize8.0ms

rewrite27.0ms

series33.0ms

simplify53.0ms

prune82.0ms

localize9.0ms

rewrite21.0ms

series36.0ms

simplify54.0ms

prune64.0ms

regimes547.0ms

bsearch23.0ms

simplify3.0ms

end0.0ms

sample574.0ms

Profiling