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

sample27.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
3.0ms	72×	body	80	invalid

simplify62.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4924	15
1	4924	15

prune11.0ms

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

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 1 z) 1.0)
0.0b	(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0)) 2.0))
0.2b	(*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
16×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
11×	`add-cube-cbrt_binary64`
10×	`add-log-exp_binary64` `times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`pow1_binary64` `distribute-lft-out_binary64` `associate-r_binary64`
4×	`flip3-+_binary64` `flip-+_binary64`
3×	`div-inv_binary64` `associate-+r+_binary64` `sum-log_binary64`
2×	`cbrt-unprod_binary64` `associate-*r/_binary64` `frac-add_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `frac-times_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `associate-+r-_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 72

Calls

3 calls:

7.0ms	(+.f64 (/.f64 1 z) 1.0)
18.0ms	(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0)) 2.0))
12.0ms	(*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0))

series23.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+.f64 (/.f64 1 z) 1.0)
15.0ms	(+.f64 (/.f64 x y) (-.f64 (*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0)) 2.0))
6.0ms	(*.f64 (/.f64 2.0 t) (+.f64 (/.f64 1 z) 1.0))

simplify30.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5417	1049

prune102.0ms

Filtered

59 candidates to 81 candidates (-37.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	3	81
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Merged error: 0.0b

Counts

83 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z)) 2.0))
0.0b	(+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z))
0.2b	(/.f64 (/.f64 2.0 t) z)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

77×	`times-frac_binary64`
60×	`*-un-lft-identity_binary64`
45×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`add-log-exp_binary64`
13×	`associate-/l*_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`distribute-lft-out_binary64`
5×	`div-inv_binary64` `sum-log_binary64`
3×	`associate-/r*_binary64` `pow1_binary64` `cbrt-undiv_binary64` `frac-add_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `associate-+r-_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

3 → 105

Calls

3 calls:

37.0ms	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z)) 2.0))
25.0ms	(+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z))
6.0ms	(/.f64 (/.f64 2.0 t) z)

series27.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 (/.f64 x y) (-.f64 (+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z)) 2.0))
7.0ms	(+.f64 (/.f64 2.0 t) (/.f64 (/.f64 2.0 t) z))
4.0ms	(/.f64 (/.f64 2.0 t) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4987	1493
1	4987	1493

prune128.0ms

Filtered

88 candidates to 114 candidates (-29.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 1 z) 1.0)
0.0b	(+.f64 (/.f64 x y) (-.f64 (*.f64 2.0 (/.f64 (+.f64 (/.f64 1 z) 1.0) t)) 2.0))
0.1b	(/.f64 (+.f64 (/.f64 1 z) 1.0) t)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 67

Calls

3 calls:

7.0ms	(+.f64 (/.f64 1 z) 1.0)
19.0ms	(+.f64 (/.f64 x y) (-.f64 (*.f64 2.0 (/.f64 (+.f64 (/.f64 1 z) 1.0) t)) 2.0))
9.0ms	(/.f64 (+.f64 (/.f64 1 z) 1.0) t)

series22.0ms

Counts

3 → 9

Calls

3 calls:

2.0ms	(+.f64 (/.f64 1 z) 1.0)
15.0ms	(+.f64 (/.f64 x y) (-.f64 (*.f64 2.0 (/.f64 (+.f64 (/.f64 1 z) 1.0) t)) 2.0))
5.0ms	(/.f64 (+.f64 (/.f64 1 z) 1.0) t)

simplify37.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5299	993

prune80.0ms

Filtered

52 candidates to 76 candidates (-46.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series70.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 t)
19.0ms	(cbrt.f64 t)
17.0ms	(cbrt.f64 t)

simplify38.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4923	212
1	4923	212

prune60.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	56	5	61

Merged error: 0.0b

Counts

61 → 5

regimes402.0ms

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	23	15
1	23	15

end0.0ms

sample787.0ms

Algorithm

intervals

Results

400.0ms	8000×	body	80	valid
115.0ms	2365×	body	80	invalid

Details

analyze1.3s

sample27.0ms

simplify62.0ms

prune11.0ms

localize15.0ms

rewrite39.0ms

series23.0ms

simplify30.0ms

prune102.0ms

localize9.0ms

rewrite72.0ms

series27.0ms

simplify46.0ms

prune128.0ms

localize10.0ms

rewrite37.0ms

series22.0ms

simplify37.0ms

prune80.0ms

localize20.0ms

rewrite6.0ms

series70.0ms

simplify38.0ms

prune60.0ms

regimes402.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample787.0ms

Profiling