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

sample31.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify95.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5202	29

prune6.0ms

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

localize28.0ms

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))
0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite30.0ms

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:

6.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
7.0ms	(.f64 (.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x))
12.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
2.0ms	(sqrt.f64 PI.f64)

series22.0ms

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))
9.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

simplify53.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5071	605

prune90.0ms

Filtered

65 candidates to 117 candidates (-80.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	115	2	117
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	115	4	119

Merged error: 0.0b

Counts

119 → 4

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (sqrt.f64 (pow.f64 (fabs.f64 x) 3)) (sqrt.f64 (pow.f64 (fabs.f64 x) 3)))
1.0b	(sqrt.f64 PI.f64)
15.7b	(sqrt.f64 (pow.f64 (fabs.f64 x) 3))
15.7b	(sqrt.f64 (pow.f64 (fabs.f64 x) 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

129×	`sqrt-prod_binary64`
82×	`add-sqr-sqrt_binary64`
36×	`unpow-prod-down_binary64` `cube-prod_binary64`
31×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
25×	`unswap-sqr_binary64`
23×	`swap-sqr_binary64`
18×	`sqr-pow_binary64`
15×	`associate-r_binary64` `associate-l_binary64`
12×	`pow1_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `unpow3_binary64` `cube-mult_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 164

Calls

4 calls:

13.0ms	(*.f64 (sqrt.f64 (pow.f64 (fabs.f64 x) 3)) (sqrt.f64 (pow.f64 (fabs.f64 x) 3)))
1.0ms	(sqrt.f64 PI.f64)
3.0ms	(sqrt.f64 (pow.f64 (fabs.f64 x) 3))
3.0ms	(sqrt.f64 (pow.f64 (fabs.f64 x) 3))

series32.0ms

Counts

4 → 10

Calls

4 calls:

6.0ms	(*.f64 (sqrt.f64 (pow.f64 (fabs.f64 x) 3)) (sqrt.f64 (pow.f64 (fabs.f64 x) 3)))
0.0ms	(sqrt.f64 PI.f64)
11.0ms	(sqrt.f64 (pow.f64 (fabs.f64 x) 3))
14.0ms	(sqrt.f64 (pow.f64 (fabs.f64 x) 3))

simplify72.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4903	1363
1	4903	1363

prune143.0ms

Filtered

81 candidates to 174 candidates (-114.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	174	4	178

Merged error: 0.0b

Counts

178 → 4

localize31.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x)))
0.2b	(*.f64 (pow.f64 (fabs.f64 x) 2) (sqrt.f64 (fabs.f64 x)))
0.2b	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
1.0b	(sqrt.f64 PI.f64)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-exp-log_binary64`
32×	`add-cbrt-cube_binary64`
31×	`add-sqr-sqrt_binary64`
22×	`associate-l_binary64` `prod-exp_binary64`
21×	`pow1_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`cbrt-unprod_binary64`
13×	`associate-r_binary64` `sqrt-prod_binary64`
10×	`pow-prod-up_binary64`
9×	`times-frac_binary64`
8×	`unswap-sqr_binary64`
7×	`pow-prod-down_binary64`
6×	`pow1/2_binary64` `sqrt-pow1_binary64`
5×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64`
3×	`unpow2_binary64` `cbrt-undiv_binary64` `sqr-pow_binary64` `div-exp_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `pow-exp_binary64`
1×	`rem-sqrt-square_binary64` `div-inv_binary64` `associate-*l/_binary64`

Counts

4 → 113

Calls

4 calls:

12.0ms	(.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x)))
7.0ms	(*.f64 (pow.f64 (fabs.f64 x) 2) (sqrt.f64 (fabs.f64 x)))
12.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
2.0ms	(sqrt.f64 PI.f64)

series31.0ms

Counts

4 → 10

Calls

4 calls:

7.0ms	(.f64 (.f64 (pow.f64 (fabs.f64 x) 2) (sqrt.f64 (fabs.f64 x))) (sqrt.f64 (fabs.f64 x)))
15.0ms	(*.f64 (pow.f64 (fabs.f64 x) 2) (sqrt.f64 (fabs.f64 x)))
9.0ms	(.f64 (/.f64 2 3) (.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)) (fabs.f64 x)))
0.0ms	(sqrt.f64 PI.f64)

simplify37.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	4941	766
1	4941	766

prune111.0ms

Filtered

72 candidates to 123 candidates (-70.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	123	4	127

Merged error: 0.0b

Counts

127 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
0.2b	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
0.2b	(/.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:

6.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
7.0ms	(*.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))
2.0ms	(sqrt.f64 PI.f64)

series83.0ms

Counts

4 → 10

Calls

4 calls:

13.0ms	(*.f64 1/5 (pow.f64 (fabs.f64 x) 5))
9.0ms	(*.f64 2/3 (pow.f64 (fabs.f64 x) 3))
62.0ms	(/.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)

simplify45.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5165	2386

prune111.0ms

Filtered

77 candidates to 120 candidates (-55.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	0	0
Picked	0	1	1
Done	2	1	3
Total	121	3	124

Merged error: 0b

Counts

124 → 3

regimes39.0ms

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	52	65
1	52	65

end0.0ms

sample916.0ms

Algorithm

intervals

Results

733.0ms	8000×	body	80	valid
80.0ms	8002×	pre	80	true
0.0ms	2×	body	80	invalid

Details

analyze5.0ms

sample31.0ms

simplify95.0ms

prune6.0ms

localize28.0ms

rewrite30.0ms

series22.0ms

simplify53.0ms

prune90.0ms

localize30.0ms

rewrite28.0ms

series32.0ms

simplify72.0ms

prune143.0ms

localize31.0ms

rewrite38.0ms

series31.0ms

simplify37.0ms

prune111.0ms

localize17.0ms

rewrite31.0ms

series83.0ms

simplify45.0ms

prune111.0ms

regimes39.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample916.0ms

Profiling