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
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

sample23.0ms

Algorithm

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

simplify104.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4881	19
1	4881	19

prune2.0ms

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: 3.2b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
11.3b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity_binary64`
200×	`times-frac_binary64`
126×	`add-sqr-sqrt_binary64`
86×	`add-cube-cbrt_binary64`
44×	`distribute-lft-out_binary64`
42×	`distribute-lft-out--_binary64`
22×	`associate-/r*_binary64`
20×	`difference-of-squares_binary64`
10×	`associate-/l*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`div-inv_binary64`
4×	`associate-/l/_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `associate-/r/_binary64` `associate-+l-_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 175

Calls

2 calls:

9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
15.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

series356.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
305.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

simplify93.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	6230	4859

prune151.0ms

Filtered

103 candidates to 181 candidates (-75.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	176	5	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	176	6	182

Merged error: 0b

Counts

182 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
1.5b	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

103×	`*-un-lft-identity_binary64`
53×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
31×	`associate-l_binary64`
26×	`add-cube-cbrt_binary64`
22×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
11×	`difference-of-squares_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`associate-r_binary64`
2×	`flip3-+_binary64` `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` `flip-+_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 102

Calls

2 calls:

13.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
17.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

series400.0ms

Counts

2 → 6

Calls

2 calls:

96.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
305.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

simplify75.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5142	2064

prune64.0ms

Filtered

64 candidates to 108 candidates (-68.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0b

Counts

114 → 6

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 a (+.f64 (-.f64 t z) 1))
10.8b	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

59×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
29×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
14×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-l*_binary64`
4×	`pow1_binary64` `associate-/r/_binary64`
3×	`associate-/l*_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `-commutative_binary64`

Counts

2 → 83

Calls

2 calls:

12.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))
20.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

series223.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))
147.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

simplify56.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5597	1480

prune55.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	89	6	95

Merged error: 0b

Counts

95 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a))
11.3b	(/.f64 (-.f64 y z) (*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
21×	`add-exp-log_binary64`
16×	`add-cbrt-cube_binary64` `times-frac_binary64`
13×	`associate-r_binary64`
12×	`add-cube-cbrt_binary64`
6×	`associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`cbrt-undiv_binary64` `associate-l_binary64` `associate-/l*_binary64`
4×	`flip3-+_binary64` `pow1_binary64` `cbrt-unprod_binary64` `flip-+_binary64` `frac-times_binary64` `associate-*l/_binary64`
3×	`unswap-sqr_binary64` `distribute-lft-out--_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `flip3--_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `-commutative_binary64`

Counts

2 → 78

Calls

2 calls:

14.0ms	(*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a))
16.0ms	(/.f64 (-.f64 y z) (*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a)))

series357.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a))
300.0ms	(/.f64 (-.f64 y z) (*.f64 (+.f64 (-.f64 t z) 1) (/.f64 1 a)))

simplify59.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5476	1362

prune49.0ms

Filtered

53 candidates to 84 candidates (-58.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	84	6	90

Merged error: 0b

Counts

90 → 6

regimes102.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	164	19
1	164	19

end0.0ms

sample615.0ms

Algorithm

intervals

Results

325.0ms	7999×	body	128	valid
18.0ms	489×	body	128	invalid
0.0ms	1×	body	1024	valid

Details

analyze1.1s

sample23.0ms

simplify104.0ms

prune2.0ms

localize10.0ms

rewrite52.0ms

series356.0ms

simplify93.0ms

prune151.0ms

localize9.0ms

rewrite40.0ms

series400.0ms

simplify75.0ms

prune64.0ms

localize9.0ms

rewrite39.0ms

series223.0ms

simplify56.0ms

prune55.0ms

localize10.0ms

rewrite37.0ms

series357.0ms

simplify59.0ms

prune49.0ms

regimes102.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample615.0ms

Profiling