Details

analyze1.5s

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%	99.8%	0.2%	10
0%	99.8%	0.2%	11
0%	99.8%	0.2%	12
3.7%	96.1%	0.2%	13
4.2%	94.5%	1.3%	14

sample33.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
3.0ms	67×	body	80	invalid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4726	13
1	4726	13

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.0b

Counts

2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 2 (/.f64 2 z))
0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
0.3b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
10×	`add-log-exp_binary64`
8×	`distribute-lft-out_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `associate-/l*_binary64` `flip-+_binary64` `sum-log_binary64`
3×	`associate-/r*_binary64` `pow1_binary64`
2×	`associate-/l/_binary64` `frac-add_binary64` `+-commutative_binary64`
1×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `associate-+r+_binary64`

Counts

3 → 62

Calls

3 calls:

7.0ms	(+.f64 2 (/.f64 2 z))
18.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
9.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)

series25.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 2 (/.f64 2 z))
16.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
6.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)

simplify37.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4939	882
1	4939	882

prune56.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	69	4	73

Merged error: 0.0b

Counts

73 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))))
0.5b	(/.f64 2 (*.f64 z t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
11×	`add-log-exp_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`distribute-lft-out_binary64` `sum-log_binary64`
4×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `pow1_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-/r*_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

2 → 40

Calls

2 calls:

21.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))))
5.0ms	(/.f64 2 (*.f64 z t))

series20.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))))
6.0ms	(/.f64 2 (*.f64 z t))

simplify39.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5120	618

prune32.0ms

Filtered

31 candidates to 46 candidates (-48.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	46	4	50

Merged error: 0b

Counts

50 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 z (/.f64 (sqrt.f64 2) t))) (/.f64 2 t))))
0.2b	(/.f64 z (/.f64 (sqrt.f64 2) t))
0.5b	(/.f64 (sqrt.f64 2) t)
0.6b	(/.f64 (sqrt.f64 2) (/.f64 z (/.f64 (sqrt.f64 2) t)))

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

1422×	`times-frac_binary64`
681×	`*-un-lft-identity_binary64`
672×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
453×	`sqrt-prod_binary64`
96×	`associate-/r*_binary64`
35×	`div-inv_binary64`
20×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
15×	`associate-/l*_binary64`
13×	`add-log-exp_binary64`
10×	`cbrt-undiv_binary64` `div-exp_binary64`
9×	`associate-/r/_binary64`
6×	`distribute-lft-out_binary64` `sum-log_binary64`
4×	`pow1_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`flip3-+_binary64` `frac-add_binary64` `flip-+_binary64`
1×	`+-commutative_binary64` `associate-+r+_binary64`

Counts

4 → 684

Calls

4 calls:

257.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 z (/.f64 (sqrt.f64 2) t))) (/.f64 2 t))))
8.0ms	(/.f64 z (/.f64 (sqrt.f64 2) t))
5.0ms	(/.f64 (sqrt.f64 2) t)
22.0ms	(/.f64 (sqrt.f64 2) (/.f64 z (/.f64 (sqrt.f64 2) t)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 (sqrt.f64 2) (/.f64 z (/.f64 (sqrt.f64 2) t))) (/.f64 2 t))))
8.0ms	(/.f64 z (/.f64 (sqrt.f64 2) t))
5.0ms	(/.f64 (sqrt.f64 2) t)
10.0ms	(/.f64 (sqrt.f64 2) (/.f64 z (/.f64 (sqrt.f64 2) t)))

simplify143.0ms

Algorithm

egg-herbie

Counts

696 → 696

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4983	12316
1	4983	12316

prune586.0ms

Filtered

361 candidates to 696 candidates (-92.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	696	0	696
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	696	4	700

Merged error: 0b

Counts

700 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 2 (/.f64 2 z))
0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
0.4b	(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`add-exp-log_binary64`
11×	`add-cube-cbrt_binary64` `times-frac_binary64`
10×	`add-log-exp_binary64`
8×	`add-cbrt-cube_binary64`
5×	`flip3-+_binary64` `pow1_binary64` `flip-+_binary64`
4×	`associate-l_binary64` `prod-exp_binary64` `sum-log_binary64`
3×	`distribute-lft-out_binary64` `unswap-sqr_binary64`
2×	`cbrt-unprod_binary64` `frac-add_binary64` `div-exp_binary64` `+-commutative_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `associate-+r+_binary64` `-commutative_binary64`

Counts

3 → 69

Calls

3 calls:

6.0ms	(+.f64 2 (/.f64 2 z))
10.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
13.0ms	(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

series23.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(+.f64 2 (/.f64 2 z))
14.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))))
6.0ms	(*.f64 (+.f64 2 (/.f64 2 z)) (/.f64 1 t))

simplify57.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4972	883
1	4972	883

prune46.0ms

Filtered

54 candidates to 78 candidates (-44.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	78	4	82

Merged error: 0b

Counts

82 → 4

regimes197.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	15
1	17	15

end0.0ms

sample822.0ms

Algorithm

intervals

Results

414.0ms	8000×	body	80	valid
120.0ms	2385×	body	80	invalid

Details

analyze1.5s

sample33.0ms

simplify98.0ms

prune9.0ms

localize9.0ms

rewrite35.0ms

series25.0ms

simplify37.0ms

prune56.0ms

localize10.0ms

rewrite27.0ms

series20.0ms

simplify39.0ms

prune32.0ms

localize14.0ms

rewrite356.0ms

series47.0ms

simplify143.0ms

prune586.0ms

localize10.0ms

rewrite32.0ms

series23.0ms

simplify57.0ms

prune46.0ms

regimes197.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample822.0ms

Profiling