Details

analyze1.1s

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

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	32×	body	80	invalid

simplify156.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4954	16
1	4954	16

prune1.0ms

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: 8.4b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
8.8b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite19.0ms

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

series98.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(*.f64 y (-.f64 z t))
66.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

simplify61.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5441	720

prune50.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	55	4	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	5	60

Merged error: 0b

Counts

60 → 5

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
3.2b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite35.0ms

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))
15.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

series151.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
114.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

simplify102.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5006	4875

prune102.0ms

Filtered

132 candidates to 200 candidates (-51.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	199	1	200
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	200	5	205

Merged error: 0b

Counts

205 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
3.2b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite31.0ms

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:

9.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

series104.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
70.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

simplify87.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5151	1767

prune54.0ms

Filtered

70 candidates to 108 candidates (-54.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	108	5	113

Merged error: 0b

Counts

113 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 z a))
9.6b	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

rewrite22.0ms

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:

6.0ms	(/.f64 y (-.f64 z a))
13.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

series140.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/.f64 y (-.f64 z a))
105.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

simplify85.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5653	1326

prune47.0ms

Filtered

64 candidates to 91 candidates (-42.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	91	5	96

Merged error: 0b

Counts

96 → 5

regimes123.0ms

Accuracy

82.7% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.2b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	84
1	47	84

end0.0ms

sample611.0ms

Algorithm

intervals

Results

307.0ms	7998×	body	80	valid
26.0ms	715×	body	80	invalid
0.0ms	2×	body	640	valid

Details

analyze1.1s

sample27.0ms

simplify156.0ms

prune1.0ms

localize8.0ms

rewrite19.0ms

series98.0ms

simplify61.0ms

prune50.0ms

localize14.0ms

rewrite35.0ms

series151.0ms

simplify102.0ms

prune102.0ms

localize8.0ms

rewrite31.0ms

series104.0ms

simplify87.0ms

prune54.0ms

localize8.0ms

rewrite22.0ms

series140.0ms

simplify85.0ms

prune47.0ms

regimes123.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample611.0ms

Profiling