Details

analyze1.6s

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

sample53.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
7.0ms	133×	body	80	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

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

localize14.0ms

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

rewrite46.0ms

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:

20.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
12.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
7.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
6.0ms	(/.f64 (*.f64 z t) 16)

series102.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4)) c)
29.0ms	(-.f64 (+.f64 (.f64 x y) (/.f64 (.f64 z t) 16)) (/.f64 (*.f64 a b) 4))
13.0ms	(+.f64 (.f64 x y) (/.f64 (.f64 z t) 16))
4.0ms	(/.f64 (*.f64 z t) 16)

simplify60.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5641	1185

prune76.0ms

Filtered

60 candidates to 79 candidates (-31.7%)

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: 0b

Counts

80 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

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:

5.0ms	(/.f64 (*.f64 a b) 4)
16.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
5.0ms	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 (*.f64 a b) 4)
56.0ms	(+.f64 (-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4)) c)
29.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z (/.f64 t 16))) (/.f64 (*.f64 a b) 4))
14.0ms	(+.f64 (.f64 x y) (.f64 z (/.f64 t 16)))

simplify56.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5278	1184

prune64.0ms

Filtered

59 candidates to 79 candidates (-33.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	79	4	83

Merged error: 0b

Counts

83 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4))))
0.8b	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
0.8b	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
0.8b	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

52×	`cbrt-div_binary64`
43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
26×	`frac-sub_binary64`
16×	`frac-times_binary64`
15×	`add-cube-cbrt_binary64`
13×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`pow1/3_binary64` `distribute-lft-out--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `associate-r/_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `associate-l/_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 123

Calls

4 calls:

30.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4))))
14.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
11.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
11.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))

series338.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(.f64 (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (.f64 a b) 4))) (cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4))))
69.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
68.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))
74.0ms	(cbrt.f64 (-.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)) (/.f64 (*.f64 a b) 4)))

simplify77.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5091	4895

prune206.0ms

Filtered

101 candidates to 135 candidates (-33.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	135	4	139

Merged error: 0b

Counts

139 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (*.f64 z t) 16)
0.2b	(.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y))) (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (*.f64 x y))))
1.0b	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))
1.0b	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
24×	`sqrt-prod_binary64`
21×	`pow1_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `sqrt-div_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`flip3-+_binary64` `swap-sqr_binary64` `flip-+_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
5×	`pow-prod-up_binary64`
4×	`add-log-exp_binary64` `unswap-sqr_binary64` `frac-times_binary64`
3×	`pow-prod-down_binary64` `associate-/r*_binary64` `times-frac_binary64` `pow-sqr_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rem-sqrt-square_binary64` `prod-exp_binary64` `div-exp_binary64` `associate-l/_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `pow2_binary64` `-commutative_binary64`

Counts

4 → 108

Calls

4 calls:

5.0ms	(/.f64 (*.f64 z t) 16)
18.0ms	(.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y))) (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (*.f64 x y))))
7.0ms	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))
7.0ms	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))

series72.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/.f64 (*.f64 z t) 16)
17.0ms	(.f64 (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y))) (sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (*.f64 x y))))
26.0ms	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))
26.0ms	(sqrt.f64 (+.f64 (/.f64 (.f64 z t) 16) (.f64 x y)))

simplify88.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4944	1520
1	4944	1520

prune72.0ms

Filtered

72 candidates to 120 candidates (-66.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	120	4	124

Merged error: 0b

Counts

124 → 4

regimes940.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	17
1	55	17

end0.0ms

sample1.3s

Algorithm

intervals

Results

483.0ms	8000×	body	80	valid
245.0ms	3941×	body	80	invalid

Details

analyze1.6s

sample53.0ms

simplify58.0ms

prune5.0ms

localize14.0ms

rewrite46.0ms

series102.0ms

simplify60.0ms

prune76.0ms

localize14.0ms

rewrite38.0ms

series103.0ms

simplify56.0ms

prune64.0ms

localize20.0ms

rewrite72.0ms

series338.0ms

simplify77.0ms

prune206.0ms

localize20.0ms

rewrite41.0ms

series72.0ms

simplify88.0ms

prune72.0ms

regimes940.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.3s

Profiling