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

sample24.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	20×	body	80	invalid

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4871	13
1	4871	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: 2.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
10.0b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite35.0ms

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))

series43.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)
35.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

simplify58.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5895	3167

prune167.0ms

Filtered

102 candidates to 181 candidates (-77.5%)

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)

rewrite33.0ms

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:

11.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
17.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

series45.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
33.0ms	(*.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) a)

simplify50.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5150	1375

prune88.0ms

Filtered

64 candidates to 108 candidates (-68.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0b

Counts

114 → 6

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
1.7b	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

1066×	`times-frac_binary64`
924×	`*-un-lft-identity_binary64`
544×	`add-sqr-sqrt_binary64`
392×	`add-cube-cbrt_binary64`
152×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64`
76×	`difference-of-squares_binary64`
48×	`div-inv_binary64`
36×	`associate-/l*_binary64`
31×	`associate-/r/_binary64`
26×	`add-exp-log_binary64`
18×	`associate-/r*_binary64`
17×	`div-exp_binary64`
16×	`add-cbrt-cube_binary64`
15×	`flip3-+_binary64` `flip-+_binary64`
9×	`cbrt-undiv_binary64`
3×	`associate-/l/_binary64` `div-sub_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`flip3--_binary64` `flip--_binary64`

Counts

2 → 524

Calls

2 calls:

11.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
26.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a))

series49.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
31.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a))

simplify107.0ms

Algorithm

egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5915	12236

prune296.0ms

Filtered

206 candidates to 530 candidates (-157.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	529	1	530
Fresh	2	1	3
Picked	0	1	1
Done	1	1	2
Total	532	4	536

Merged error: 0b

Counts

536 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 a (+.f64 (-.f64 t z) 1))
9.7b	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

rewrite30.0ms

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:

9.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))
18.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

series34.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))
24.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

simplify42.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5218	988

prune71.0ms

Filtered

59 candidates to 89 candidates (-50.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	89	4	93

Merged error: 0b

Counts

93 → 4

regimes341.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	163	13
1	163	13

end0.0ms

sample613.0ms

Algorithm

intervals

Results

320.0ms	7996×	body	80	valid
26.0ms	494×	body	80	invalid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid

Details

analyze1.1s

sample24.0ms

simplify69.0ms

prune4.0ms

localize9.0ms

rewrite35.0ms

series43.0ms

simplify58.0ms

prune167.0ms

localize9.0ms

rewrite33.0ms

series45.0ms

simplify50.0ms

prune88.0ms

localize10.0ms

rewrite87.0ms

series49.0ms

simplify107.0ms

prune296.0ms

localize10.0ms

rewrite30.0ms

series34.0ms

simplify42.0ms

prune71.0ms

regimes341.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample613.0ms

Profiling