Details

analyze1.7s

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
1.2%	98.5%	0.3%	13
1.8%	97.9%	0.3%	14

sample43.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
8.0ms	155×	body	80	invalid

simplify78.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	938	25
1	938	25

prune2.0ms

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: 0.3b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (*.f64 z t) 16)
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
0.2b	(/.f64 (*.f64 a b) 4)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
11×	`add-log-exp_binary64`
10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`
6×	`associate-/r*_binary64` `times-frac_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64` `frac-sub_binary64` `sum-log_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 70

Calls

4 calls:

5.0ms	(/.f64 (*.f64 z t) 16)
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
14.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
8.0ms	(/.f64 (*.f64 a b) 4)

series169.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/.f64 (*.f64 z t) 16)
45.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
86.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
24.0ms	(/.f64 (*.f64 a b) 4)

simplify87.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4938	1356
1	4938	1356

prune69.0ms

Filtered

58 candidates to 82 candidates (-41.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	2	83

Merged error: 0.0b

Counts

83 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4))) c)
0.0b	(/.f64 (*.f64 z t) 16)
0.0b	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
4×	`pow1_binary64` `diff-log_binary64`
3×	`flip3-+_binary64` `associate-/r*_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`sub-neg_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `div-exp_binary64` `+-commutative_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l-_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 64

Calls

4 calls:

18.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4))) c)
7.0ms	(/.f64 (*.f64 z t) 16)
7.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
9.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

140.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4))) c)
14.0ms	(/.f64 (*.f64 z t) 16)
46.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
85.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4)))

simplify89.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4995	1654
1	4995	1654

prune64.0ms

Filtered

57 candidates to 76 candidates (-33.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	2	78

Merged error: 0.0b

Counts

78 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))) (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 z t) 16))))
3.0b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
3.0b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
3.0b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

rewrite35.0ms

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:

15.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))) (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 z t) 16))))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

series609.0ms

Counts

4 → 12

Calls

4 calls:

181.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))) (cbrt.f64 (+.f64 (.f64 x y) (/.f64 (*.f64 z t) 16))))
144.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
144.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
139.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))

simplify89.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4920	2613
1	4920	2613

prune149.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

localize28.0ms

Local error

Found 4 expressions with local error:

3.0b	(cbrt.f64 (-.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
3.0b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
3.0b	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
25.4b	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (/.f64 (pow.f64 (.f64 z t) 2) 256)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
25×	`cbrt-prod_binary64`
12×	`difference-of-squares_binary64`
10×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
8×	`cbrt-div_binary64` `add-cube-cbrt_binary64`
7×	`unpow2_binary64` `sqr-pow_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
1×	`distribute-lft-out--_binary64`

Counts

4 → 65

Calls

4 calls:

5.0ms	(cbrt.f64 (-.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
5.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
15.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (/.f64 (pow.f64 (.f64 z t) 2) 256)))

series586.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(cbrt.f64 (-.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
142.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
137.0ms	(cbrt.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)))
155.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (/.f64 (pow.f64 (.f64 z t) 2) 256)))

simplify74.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5283	2031

prune155.0ms

Filtered

66 candidates to 77 candidates (-16.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	2	79

Merged error: 0b

Counts

79 → 2

regimes129.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	25
1	56	25

end0.0ms

sample1.2s

Algorithm

intervals

Results

472.0ms	8000×	body	80	valid
219.0ms	3941×	body	80	invalid

Details

analyze1.7s

sample43.0ms

simplify78.0ms

prune2.0ms

localize17.0ms

rewrite34.0ms

series169.0ms

simplify87.0ms

prune69.0ms

localize12.0ms

rewrite45.0ms

series286.0ms

simplify89.0ms

prune64.0ms

localize17.0ms

rewrite35.0ms

series609.0ms

simplify89.0ms

prune149.0ms

localize28.0ms

rewrite33.0ms

series586.0ms

simplify74.0ms

prune155.0ms

regimes129.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.2s

Profiling