Details

analyze895.0ms

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
33.3%	66.5%	0.2%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	21×	body	80	invalid

simplify130.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4982	11
1	4982	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: 1.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
1.4b	(*.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:

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

series29.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
19.0ms	(*.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

prune125.0ms

Filtered

71 candidates to 108 candidates (-52.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	100	9	109

Merged error: 0b

Counts

109 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(cbrt.f64 (-.f64 z a))
0.5b	(*.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
12.0ms	(*.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))

series125.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 (-.f64 z a))
28.0ms	(cbrt.f64 (-.f64 z a))
32.0ms	(cbrt.f64 (-.f64 z a))
37.0ms	(*.f64 (cbrt.f64 (-.f64 z a)) (cbrt.f64 (-.f64 z a)))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5305	1060

prune123.0ms

Filtered

86 candidates to 113 candidates (-31.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	113	9	122

Merged error: 0b

Counts

122 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.4b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
1.4b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac_binary64`
335×	`add-sqr-sqrt_binary64`
323×	`*-un-lft-identity_binary64`
157×	`add-cube-cbrt_binary64`
98×	`associate-r_binary64`
82×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
35×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-/r/_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
9×	`flip3--_binary64` `flip--_binary64`
8×	`associate-/l*_binary64`
7×	`cbrt-undiv_binary64` `prod-exp_binary64`
6×	`pow1_binary64`
5×	`unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `div-sub_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `-commutative_binary64`

Counts

3 → 327

Calls

3 calls:

8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
15.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
29.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

series57.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
21.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
27.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

simplify54.0ms

Algorithm

egg-herbie

Counts

336 → 336

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5018	4366

prune227.0ms

Filtered

190 candidates to 336 candidates (-76.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	334	2	336
Fresh	2	4	6
Picked	0	1	1
Done	1	1	2
Total	337	8	345

Merged error: 0b

Counts

345 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

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:

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

series35.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/.f64 y (-.f64 z a))
26.0ms	(*.f64 (/.f64 y (-.f64 z a)) (-.f64 z t))

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5978	882

prune65.0ms

Filtered

66 candidates to 91 candidates (-37.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	91	8	99

Merged error: 0b

Counts

99 → 8

regimes475.0ms

Accuracy

0% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	33
1	37	33

end0.0ms

sample627.0ms

Algorithm

intervals

Results

312.0ms	7998×	body	80	valid
25.0ms	672×	body	80	invalid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze895.0ms

sample24.0ms

simplify130.0ms

prune4.0ms

localize8.0ms

rewrite31.0ms

series29.0ms

simplify53.0ms

prune125.0ms

localize19.0ms

rewrite25.0ms

series125.0ms

simplify45.0ms

prune123.0ms

localize9.0ms

rewrite72.0ms

series57.0ms

simplify54.0ms

prune227.0ms

localize8.0ms

rewrite24.0ms

series35.0ms

simplify56.0ms

prune65.0ms

regimes475.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample627.0ms

Profiling