Details

analyze739.0ms

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
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample24.0ms

Algorithm

intervals

Results

9.0ms	245×	body	80	valid
2.0ms	44×	body	80	invalid
0.0ms	2×	body	1280	valid
0.0ms	4×	body	160	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
15.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))

series29.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
17.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))

simplify47.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5342	515

prune43.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
13.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
25.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

series345.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
70.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
70.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
134.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

simplify84.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4945	2542
1	4945	2542

prune156.0ms

Filtered

83 candidates to 99 candidates (-19.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	99	6	105

Merged error: 0.0b

Counts

105 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (.f64 y 25))
0.3b	(.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t)))
4.8b	(-.f64 (.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))) (.f64 y (*.f64 y 25)))
28.8b	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))) (.f64 y (.f64 y 25))) (-.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`pow-prod-down_binary64`
14×	`associate-*r/_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
9×	`times-frac_binary64`
8×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
6×	`flip3-+_binary64` `add-log-exp_binary64` `flip-+_binary64`
4×	`pow-prod-up_binary64` `associate-l_binary64` `pow-sqr_binary64` `frac-times_binary64` `associate--l+_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `associate-/l_binary64` `flip--_binary64`
2×	`associate-/l/_binary64` `associate-r_binary64` `associate-/r/_binary64` `pow-plus_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `swap-sqr_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow2_binary64`

Counts

4 → 111

Calls

4 calls:

5.0ms	(.f64 y (.f64 y 25))
23.0ms	(.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t)))
23.0ms	(-.f64 (.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))) (.f64 y (*.f64 y 25)))
34.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))) (.f64 y (.f64 y 25))) (-.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5)))

series261.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(.f64 y (.f64 y 25))
30.0ms	(.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 x (+.f64 (*.f64 (+.f64 y z) 2) t)))
83.0ms	(-.f64 (.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))) (.f64 y (*.f64 y 25)))
145.0ms	(/.f64 (-.f64 (.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))) (.f64 y (.f64 y 25))) (-.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5)))

simplify62.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5023	2444

prune107.0ms

Filtered

77 candidates to 123 candidates (-59.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	123	6	129

Merged error: 0.0b

Counts

129 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
0.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.1b	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`sqrt-div_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`swap-sqr_binary64`
6×	`add-log-exp_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `pow-sqr_binary64`
2×	`associate-r/_binary64` `associate-+l+_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `+-commutative_binary64` `pow2_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
10.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
28.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

series295.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
133.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
129.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
17.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (sqrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

simplify47.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5017	2180

prune81.0ms

Filtered

76 candidates to 112 candidates (-47.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	112	6	118

Merged error: 0.0b

Counts

118 → 6

regimes198.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	13
1	18	13

end0.0ms

sample661.0ms

Algorithm

intervals

Results

299.0ms	7762×	body	80	valid
71.0ms	1800×	body	80	invalid
14.0ms	103×	body	640	valid
13.0ms	61×	body	1280	valid
5.0ms	48×	body	320	valid
2.0ms	26×	body	160	valid

Details

analyze739.0ms

sample24.0ms

simplify11.0ms

prune7.0ms

localize10.0ms

rewrite27.0ms

series29.0ms

simplify47.0ms

prune43.0ms

localize14.0ms

rewrite63.0ms

series345.0ms

simplify84.0ms

prune156.0ms

localize15.0ms

rewrite90.0ms

series261.0ms

simplify62.0ms

prune107.0ms

localize11.0ms

rewrite64.0ms

series295.0ms

simplify47.0ms

prune81.0ms

regimes198.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample661.0ms

Profiling