Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	74.9%	25.1%	0
0%	74.9%	25.1%	1
37.5%	37.5%	25.1%	2
37.5%	18.7%	43.8%	3
46.8%	9.4%	43.8%	4
51.5%	4.7%	43.8%	5
51.5%	2.3%	46.1%	6
52.7%	1.2%	46.1%	7
53.3%	0.6%	46.1%	8
53.3%	0.3%	46.4%	9
53.4%	0.1%	46.4%	10
53.5%	0.1%	46.4%	11
53.5%	0%	46.5%	12
53.5%	0%	46.5%	13
53.5%	0%	46.5%	14

sample35.0ms

Algorithm

intervals

Results

26.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5202	29

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

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
0.1b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

52×	`pow1_binary64`
35×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`cbrt-unprod_binary64` `prod-exp_binary64`
17×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-plus_binary64`
9×	`times-frac_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64` `pow-sqr_binary64` `pow2_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64` `sqrt-prod_binary64` `*-commutative_binary64`
2×	`unswap-sqr_binary64` `pow3_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `associate-*l/_binary64`

Counts

4 → 107

Calls

4 calls:

7.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
7.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
15.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
2.0ms	(sqrt.f64 PI.f64)

series23.0ms

Counts

4 → 10

Calls

4 calls:

6.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
6.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
11.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

simplify51.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5071	605

prune116.0ms

Filtered

65 candidates to 117 candidates (-80.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	117	2	119

Merged error: 0.0b

Counts

119 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
0.1b	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
0.3b	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 PI.f64))
1.0b	(sqrt.f64 PI.f64)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
19×	`associate-r_binary64`
18×	`times-frac_binary64`
16×	`add-exp-log_binary64`
15×	`sqrt-prod_binary64`
10×	`add-cbrt-cube_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`associate-/r_binary64` `associate-l*_binary64` `prod-exp_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `sqr-pow_binary64` `cube-prod_binary64`
3×	`associate-/l*_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 110

Calls

4 calls:

5.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
6.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
14.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 PI.f64))
1.0ms	(sqrt.f64 PI.f64)

series80.0ms

Counts

4 → 10

Calls

4 calls:

12.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
9.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
59.0ms	(/.f64 (+.f64 (+.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (.f64 1/5 (pow.f64 (fabs.f64 x) 5))) (.f64 1/21 (pow.f64 (fabs.f64 x) 7))) (sqrt.f64 PI.f64))
0.0ms	(sqrt.f64 PI.f64)

simplify46.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5165	2386

prune156.0ms

Filtered

77 candidates to 120 candidates (-55.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	118	4	122

Merged error: 0b

Counts

122 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (pow.f64 (fabs.f64 x) 5) -1/5)
0.1b	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
0.3b	(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (fabs.f64 x) 7) -1/21) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3)))) (.f64 (pow.f64 (fabs.f64 x) 5) -1/5)) (neg.f64 (sqrt.f64 PI.f64)))
1.0b	(sqrt.f64 PI.f64)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

62×	`add-sqr-sqrt_binary64`
49×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
48×	`times-frac_binary64`
27×	`sqrt-prod_binary64`
24×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
16×	`associate-/r*_binary64` `add-exp-log_binary64`
15×	`associate-r_binary64`
10×	`add-cbrt-cube_binary64` `associate-l_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`prod-exp_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `neg-mul-1_binary64` `sqr-pow_binary64` `cube-prod_binary64`
3×	`associate-/l*_binary64`
2×	`pow-to-exp_binary64` `associate-/l/_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `cbrt-undiv_binary64` `associate-+l-_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 151

Calls

4 calls:

5.0ms	(*.f64 (pow.f64 (fabs.f64 x) 5) -1/5)
7.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
18.0ms	(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (fabs.f64 x) 7) -1/21) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3)))) (.f64 (pow.f64 (fabs.f64 x) 5) -1/5)) (neg.f64 (sqrt.f64 PI.f64)))
2.0ms	(sqrt.f64 PI.f64)

series81.0ms

Counts

4 → 10

Calls

4 calls:

12.0ms	(*.f64 (pow.f64 (fabs.f64 x) 5) -1/5)
12.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
57.0ms	(/.f64 (+.f64 (-.f64 (.f64 (pow.f64 (fabs.f64 x) 7) -1/21) (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3)))) (.f64 (pow.f64 (fabs.f64 x) 5) -1/5)) (neg.f64 (sqrt.f64 PI.f64)))
0.0ms	(sqrt.f64 PI.f64)

simplify62.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4941	4559
1	4941	4559

prune221.0ms

Filtered

103 candidates to 161 candidates (-56.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	161	4	165

Merged error: 0b

Counts

165 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
0.3b	(/.f64 (-.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 (pow.f64 (fabs.f64 x) 5) -1/5)) (neg.f64 (sqrt.f64 PI.f64)))
1.0b	(sqrt.f64 PI.f64)
1.0b	(sqrt.f64 PI.f64)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

56×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
47×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
30×	`sqrt-prod_binary64`
24×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
16×	`associate-/r*_binary64`
12×	`associate-r_binary64`
11×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `neg-mul-1_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-l_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`associate-/l/_binary64` `pow1/2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

4 → 139

Calls

4 calls:

6.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
12.0ms	(/.f64 (-.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 (pow.f64 (fabs.f64 x) 5) -1/5)) (neg.f64 (sqrt.f64 PI.f64)))
1.0ms	(sqrt.f64 PI.f64)
2.0ms	(sqrt.f64 PI.f64)

series55.0ms

Counts

4 → 8

Calls

4 calls:

8.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
44.0ms	(/.f64 (-.f64 (+.f64 (.f64 2 (fabs.f64 x)) (.f64 2/3 (pow.f64 (fabs.f64 x) 3))) (*.f64 (pow.f64 (fabs.f64 x) 5) -1/5)) (neg.f64 (sqrt.f64 PI.f64)))
0.0ms	(sqrt.f64 PI.f64)
0.0ms	(sqrt.f64 PI.f64)

simplify58.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5943	3449

prune187.0ms

Filtered

95 candidates to 147 candidates (-54.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	147	4	151

Merged error: 0b

Counts

151 → 4

regimes184.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	61
1	42	61

end0.0ms

sample911.0ms

Algorithm

intervals

Results

724.0ms	8000×	body	80	valid
82.0ms	8001×	pre	80	true
0.0ms	1×	body	80	invalid

Details

analyze5.0ms

sample35.0ms

simplify98.0ms

prune9.0ms

localize25.0ms

rewrite34.0ms

series23.0ms

simplify51.0ms

prune116.0ms

localize17.0ms

rewrite31.0ms

series80.0ms

simplify46.0ms

prune156.0ms

localize18.0ms

rewrite36.0ms

series81.0ms

simplify62.0ms

prune221.0ms

localize19.0ms

rewrite27.0ms

series55.0ms

simplify58.0ms

prune187.0ms

regimes184.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample911.0ms

Profiling