Details

analyze1.3s

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

sample29.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
3.0ms	71×	body	80	invalid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4726	13
1	4726	13

prune12.0ms

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 (+.f64 2 (/.f64 2 z)) t))
0.0b	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
0.1b	(/.f64 (+.f64 2 (/.f64 2 z)) t)

rewrite43.0ms

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:

11.0ms	(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
22.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
8.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)

series24.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t))
13.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (/.f64 (+.f64 2 (/.f64 2 z)) t)))
5.0ms	(/.f64 (+.f64 2 (/.f64 2 z)) t)

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4919	968
1	4919	968

prune104.0ms

Filtered

52 candidates to 71 candidates (-36.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	6	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity_binary64`
20×	`add-log-exp_binary64`
11×	`distribute-lft-out_binary64` `times-frac_binary64`
10×	`sum-log_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `pow1_binary64` `distribute-rgt-out_binary64` `flip-+_binary64`
3×	`frac-add_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64` `associate-+r+_binary64`
1×	`distribute-lft1-in_binary64` `associate-/r*_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64`

Counts

4 → 74

Calls

4 calls:

14.0ms	(+.f64 -2 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t)))
10.0ms	(+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))
22.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))))
5.0ms	(/.f64 2 (*.f64 z t))

series29.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+.f64 -2 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t)))
7.0ms	(+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))
13.0ms	(+.f64 (/.f64 x y) (+.f64 -2 (+.f64 (/.f64 2 (*.f64 z t)) (/.f64 2 t))))
4.0ms	(/.f64 2 (*.f64 z t))

simplify26.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5175	1109

prune101.0ms

Filtered

58 candidates to 86 candidates (-48.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	86	8	94

Merged error: 0.0b

Counts

94 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
0.0b	(.f64 (.f64 z 2) (-.f64 1 t))
8.2b	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64`
6×	`associate-r_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-/r_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 61

Calls

3 calls:

16.0ms	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
9.0ms	(.f64 (.f64 z 2) (-.f64 1 t))
8.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

series31.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+.f64 (/.f64 x y) (/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z)))
6.0ms	(.f64 (.f64 z 2) (-.f64 1 t))
10.0ms	(/.f64 (+.f64 2 (.f64 (.f64 z 2) (-.f64 1 t))) (*.f64 t z))

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4953	950
1	4953	950

prune79.0ms

Filtered

51 candidates to 70 candidates (-37.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	4	1	5
Picked	0	1	1
Done	0	2	2
Total	73	5	78

Merged error: 0.0b

Counts

78 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 2 z) (-.f64 1 t))) t) z))
0.0b	(.f64 (.f64 2 z) (-.f64 1 t))
7.5b	(/.f64 (+.f64 2 (.f64 (.f64 2 z) (-.f64 1 t))) t)
11.2b	(/.f64 (/.f64 (+.f64 2 (.f64 (.f64 2 z) (-.f64 1 t))) t) z)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac_binary64`
64×	`*-un-lft-identity_binary64`
58×	`add-sqr-sqrt_binary64`
55×	`add-cube-cbrt_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
9×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-r*_binary64` `div-inv_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `flip-+_binary64`
1×	`flip3--_binary64` `frac-add_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 138

Calls

4 calls:

29.0ms	(+.f64 (/.f64 x y) (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 2 z) (-.f64 1 t))) t) z))
8.0ms	(.f64 (.f64 2 z) (-.f64 1 t))
6.0ms	(/.f64 (+.f64 2 (.f64 (.f64 2 z) (-.f64 1 t))) t)
9.0ms	(/.f64 (/.f64 (+.f64 2 (.f64 (.f64 2 z) (-.f64 1 t))) t) z)

series39.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 (/.f64 x y) (/.f64 (/.f64 (+.f64 2 (.f64 (.f64 2 z) (-.f64 1 t))) t) z))
6.0ms	(.f64 (.f64 2 z) (-.f64 1 t))
9.0ms	(/.f64 (+.f64 2 (.f64 (.f64 2 z) (-.f64 1 t))) t)
10.0ms	(/.f64 (/.f64 (+.f64 2 (.f64 (.f64 2 z) (-.f64 1 t))) t) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5220	2716

prune163.0ms

Filtered

116 candidates to 150 candidates (-29.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	150	5	155

Merged error: 0.0b

Counts

155 → 5

regimes535.0ms

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	15	13
1	15	13

end0.0ms

sample792.0ms

Algorithm

intervals

Results

394.0ms	8000×	body	80	valid
115.0ms	2293×	body	80	invalid

Details

analyze1.3s

sample29.0ms

simplify96.0ms

prune12.0ms

localize9.0ms

rewrite43.0ms

series24.0ms

simplify49.0ms

prune104.0ms

localize11.0ms

rewrite53.0ms

series29.0ms

simplify26.0ms

prune101.0ms

localize12.0ms

rewrite34.0ms

series31.0ms

simplify58.0ms

prune79.0ms

localize12.0ms

rewrite60.0ms

series39.0ms

simplify52.0ms

prune163.0ms

regimes535.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample792.0ms

Profiling