Details

analyze1.5s

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

sample49.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
12.0ms	134×	body	80	invalid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	936	17
1	936	17

prune5.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
13×	`*-un-lft-identity_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_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` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `associate-+l+_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `+-commutative_binary64` `frac-sub_binary64` `associate--l+_binary64`
1×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-+l-_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`

Counts

4 → 67

Calls

4 calls:

13.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
10.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
5.0ms	(/.f64 (*.f64 a b) 4)

series96.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
13.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
30.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
4.0ms	(/.f64 (*.f64 a b) 4)

simplify56.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4962	1185
1	4962	1185

prune105.0ms

Filtered

59 candidates to 79 candidates (-33.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

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:

5.0ms	(/.f64 (*.f64 z t) 16)
11.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4))) c)
6.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
10.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4)))

series96.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 (*.f64 z t) 16)
51.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4))) c)
13.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
27.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4)))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4967	1119
1	4967	1119

prune89.0ms

Filtered

57 candidates to 76 candidates (-33.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 z t))))
0.0b	(-.f64 (+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 z t)))) (*.f64 a (/.f64 b 4)))
0.2b	(/.f64 16 (*.f64 z t))
0.7b	(/.f64 1 (/.f64 16 (*.f64 z t)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac_binary64`
30×	`add-exp-log_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
11×	`add-log-exp_binary64`
8×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`pow1_binary64`
4×	`prod-exp_binary64`
3×	`1-exp_binary64` `rec-exp_binary64`
2×	`flip3-+_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `frac-sub_binary64` `sum-log_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate-/r/_binary64` `inv-pow_binary64` `+-commutative_binary64` `flip--_binary64` `pow-flip_binary64` `associate--l+_binary64`

Counts

4 → 103

Calls

4 calls:

9.0ms	(+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 z t))))
12.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 z t)))) (*.f64 a (/.f64 b 4)))
5.0ms	(/.f64 16 (*.f64 z t))
7.0ms	(/.f64 1 (/.f64 16 (*.f64 z t)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 z t))))
29.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 1 (/.f64 16 (.f64 z t)))) (*.f64 a (/.f64 b 4)))
3.0ms	(/.f64 16 (*.f64 z t))
4.0ms	(/.f64 1 (/.f64 16 (*.f64 z t)))

simplify58.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4931	1212
1	4931	1212

prune128.0ms

Filtered

74 candidates to 115 candidates (-55.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	116	3	119

Merged error: 0.0b

Counts

119 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(/.f64 1 (.f64 (cbrt.f64 (/.f64 16 (.f64 z t))) (cbrt.f64 (/.f64 16 (*.f64 z t)))))
8.1b	(cbrt.f64 (/.f64 16 (*.f64 z t)))
8.1b	(cbrt.f64 (/.f64 16 (*.f64 z t)))
8.1b	(cbrt.f64 (/.f64 16 (*.f64 z t)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod_binary64`
15×	`add-exp-log_binary64`
12×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
9×	`pow1/3_binary64` `pow-flip_binary64`
7×	`cbrt-div_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `div-exp_binary64`
3×	`associate-/r/_binary64` `prod-exp_binary64` `associate-/l*_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64` `pow-sqr_binary64`
1×	`associate-/r_binary64` `cbrt-unprod_binary64` `associate-r/_binary64` `pow-plus_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `frac-times_binary64` `pow2_binary64` `associate-*l/_binary64`

Counts

4 → 86

Calls

4 calls:

9.0ms	(/.f64 1 (.f64 (cbrt.f64 (/.f64 16 (.f64 z t))) (cbrt.f64 (/.f64 16 (*.f64 z t)))))
5.0ms	(cbrt.f64 (/.f64 16 (*.f64 z t)))
4.0ms	(cbrt.f64 (/.f64 16 (*.f64 z t)))
4.0ms	(cbrt.f64 (/.f64 16 (*.f64 z t)))

series82.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/.f64 1 (.f64 (cbrt.f64 (/.f64 16 (.f64 z t))) (cbrt.f64 (/.f64 16 (*.f64 z t)))))
16.0ms	(cbrt.f64 (/.f64 16 (*.f64 z t)))
16.0ms	(cbrt.f64 (/.f64 16 (*.f64 z t)))
16.0ms	(cbrt.f64 (/.f64 16 (*.f64 z t)))

simplify43.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5320	801

prune109.0ms

Filtered

67 candidates to 98 candidates (-46.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	98	3	101

Merged error: 0.0b

Counts

101 → 3

regimes981.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	17
1	55	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

454.0ms	8000×	body	80	valid
221.0ms	3920×	body	80	invalid

Details

analyze1.5s

sample49.0ms

simplify50.0ms

prune5.0ms

localize13.0ms

rewrite35.0ms

series96.0ms

simplify56.0ms

prune105.0ms

localize13.0ms

rewrite33.0ms

series96.0ms

simplify42.0ms

prune89.0ms

localize14.0ms

rewrite36.0ms

series49.0ms

simplify58.0ms

prune128.0ms

localize18.0ms

rewrite24.0ms

series82.0ms

simplify43.0ms

prune109.0ms

regimes981.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling