Details

analyze1.8s

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

sample47.0ms

Algorithm

intervals

Results

13.0ms	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

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: 0.3b

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)

rewrite37.0ms

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:

14.0ms	(+.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))
11.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
5.0ms	(/.f64 (*.f64 a b) 4)

series95.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
12.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
31.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
4.0ms	(/.f64 (*.f64 a b) 4)

simplify54.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4962	1185
1	4962	1185

prune72.0ms

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

localize12.0ms

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)))

rewrite32.0ms

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

series114.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 (*.f64 z t) 16)
52.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4))) c)
21.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
36.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (*.f64 a (/.f64 b 4)))

simplify41.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4967	1119
1	4967	1119

prune59.0ms

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)))

rewrite37.0ms

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))))
13.0ms	(-.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)))

series50.0ms

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)))
4.0ms	(/.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

prune73.0ms

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:

10.0ms	(/.f64 1 (.f64 (cbrt.f64 (/.f64 16 (.f64 z t))) (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)))
4.0ms	(cbrt.f64 (/.f64 16 (*.f64 z t)))

series89.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/.f64 1 (.f64 (cbrt.f64 (/.f64 16 (.f64 z t))) (cbrt.f64 (/.f64 16 (*.f64 z t)))))
19.0ms	(cbrt.f64 (/.f64 16 (*.f64 z t)))
17.0ms	(cbrt.f64 (/.f64 16 (*.f64 z t)))
18.0ms	(cbrt.f64 (/.f64 16 (*.f64 z t)))

simplify42.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5320	801

prune78.0ms

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

regimes770.0ms

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

444.0ms	8000×	body	80	valid
218.0ms	3920×	body	80	invalid

Details

analyze1.8s

sample47.0ms

simplify50.0ms

prune4.0ms

localize13.0ms

rewrite37.0ms

series95.0ms

simplify54.0ms

prune72.0ms

localize12.0ms

rewrite32.0ms

series114.0ms

simplify41.0ms

prune59.0ms

localize14.0ms

rewrite37.0ms

series50.0ms

simplify58.0ms

prune73.0ms

localize18.0ms

rewrite24.0ms

series89.0ms

simplify42.0ms

prune78.0ms

regimes770.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling