Details

analyze725.0ms

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%	74.9%	25.1%	8
6.2%	68.6%	25.1%	9
7.8%	67.1%	25.1%	10
10.1%	64.7%	25.1%	11
14.8%	47.6%	37.6%	12
15.8%	36.8%	47.4%	13
16.6%	35.1%	48.3%	14

sample54.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
13.0ms	186×	body	80	invalid
7.0ms	125×	body	80	nan

simplify89.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5189	17

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: 0.5b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 t t) 2.0)
0.0b	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (.f64 z 2.0))) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
0.2b	(sqrt.f64 (*.f64 z 2.0))
0.3b	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (*.f64 z 2.0)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
14×	`pow1_binary64` `add-exp-log_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64`
6×	`associate-*l/_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `associate-l_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `div-exp_binary64` `flip--_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
1×	`pow1/2_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(/.f64 (*.f64 t t) 2.0)
13.0ms	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (.f64 z 2.0))) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
2.0ms	(sqrt.f64 (*.f64 z 2.0))
10.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (*.f64 z 2.0)))

series80.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 (*.f64 t t) 2.0)
50.0ms	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (.f64 z 2.0))) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
6.0ms	(sqrt.f64 (*.f64 z 2.0))
19.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 (*.f64 z 2.0)))

simplify47.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5076	963

prune132.0ms

Filtered

64 candidates to 85 candidates (-32.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	75	10	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	75	11	86

Merged error: 0.0b

Counts

86 → 11

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 t t) 2.0)
0.0b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0)) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
0.2b	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
0.4b	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube_binary64`
22×	`add-exp-log_binary64`
20×	`pow1_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`associate-r_binary64`
12×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l/_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`pow-prod-down_binary64`
7×	`sqrt-prod_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `times-frac_binary64` `flip--_binary64` `-commutative_binary64`
2×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 91

Calls

4 calls:

5.0ms	(/.f64 (*.f64 t t) 2.0)
18.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0)) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
8.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
11.0ms	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0))

series99.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 (*.f64 t t) 2.0)
60.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0)) (exp.f64 (/.f64 (*.f64 t t) 2.0)))
13.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
21.0ms	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 2.0))

simplify60.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4973	1257
1	4973	1257

prune125.0ms

Filtered

68 candidates to 103 candidates (-51.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	98	5	103
Fresh	6	3	9
Picked	1	0	1
Done	0	1	1
Total	105	9	114

Merged error: 0b

Counts

114 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 t t) 2.0)
0.2b	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
0.3b	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))))
0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0)))) (cbrt.f64 (sqrt.f64 2.0)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log_binary64`
36×	`pow1_binary64`
28×	`add-cbrt-cube_binary64`
23×	`cbrt-unprod_binary64` `prod-exp_binary64`
22×	`pow-prod-down_binary64`
16×	`associate-r_binary64` `add-sqr-sqrt_binary64`
12×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l/_binary64`
7×	`sqrt-prod_binary64`
6×	`cbrt-prod_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `times-frac_binary64` `flip--_binary64` `-commutative_binary64`
2×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 104

Calls

4 calls:

5.0ms	(/.f64 (*.f64 t t) 2.0)
8.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
14.0ms	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))))
21.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0)))) (cbrt.f64 (sqrt.f64 2.0)))

series91.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 (*.f64 t t) 2.0)
13.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
52.0ms	(.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0))))
21.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (*.f64 (cbrt.f64 (sqrt.f64 2.0)) (cbrt.f64 (sqrt.f64 2.0)))) (cbrt.f64 (sqrt.f64 2.0)))

simplify61.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4966	1372
1	4966	1372

prune136.0ms

Filtered

71 candidates to 116 candidates (-63.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	116	9	125

Merged error: 0b

Counts

125 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 t t) 2.0)
0.2b	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
0.3b	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0)))
0.3b	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`associate-r_binary64`
22×	`sqrt-prod_binary64`
20×	`pow1_binary64`
19×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-*l/_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
10×	`pow-prod-down_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64`
3×	`associate-/r_binary64` `flip3--_binary64` `times-frac_binary64` `flip--_binary64` `-commutative_binary64`
2×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64`

Counts

4 → 100

Calls

4 calls:

5.0ms	(/.f64 (*.f64 t t) 2.0)
8.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
12.0ms	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0)))
16.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))

series61.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 (*.f64 t t) 2.0)
13.0ms	(.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z))
21.0ms	(.f64 (.f64 (-.f64 (*.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0)))
23.0ms	(.f64 (.f64 (.f64 (-.f64 (.f64 x 0.5) y) (sqrt.f64 z)) (sqrt.f64 (sqrt.f64 2.0))) (sqrt.f64 (sqrt.f64 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4981	1218
1	4981	1218

prune103.0ms

Filtered

72 candidates to 112 candidates (-55.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	112	9	121

Merged error: 0b

Counts

121 → 9

regimes1.1s

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	34	27
1	34	27

end0.0ms

sample1.5s

Algorithm

intervals

Results

444.0ms	8000×	body	80	valid
346.0ms	6145×	body	80	invalid
245.0ms	4395×	body	80	nan

Details

analyze725.0ms

sample54.0ms

simplify89.0ms

prune4.0ms

localize12.0ms

rewrite34.0ms

series80.0ms

simplify47.0ms

prune132.0ms

localize12.0ms

rewrite45.0ms

series99.0ms

simplify60.0ms

prune125.0ms

localize16.0ms

rewrite52.0ms

series91.0ms

simplify61.0ms

prune136.0ms

localize14.0ms

rewrite43.0ms

series61.0ms

simplify58.0ms

prune103.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling