Details

analyze620.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

sample21.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	55×	body	80	invalid

simplify42.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 1.5b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
6.3b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 53

Calls

2 calls:

9.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
9.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

series26.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
14.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

simplify49.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4963	583
1	4963	583

prune85.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	7	60

Merged error: 0.0b

Counts

60 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t))) t)
0.0b	(+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t)))
4.1b	(*.f64 (/.f64 x y) z)
4.7b	(*.f64 (/.f64 x y) (neg.f64 t))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
24×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`
14×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`associate-r_binary64`
11×	`add-log-exp_binary64`
8×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-*l/_binary64` `sum-log_binary64`
3×	`distribute-rgt-neg-out_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `*-commutative_binary64`
1×	`frac-add_binary64` `associate-+l+_binary64` `neg-mul-1_binary64` `associate-+l-_binary64`

Counts

4 → 101

Calls

4 calls:

10.0ms	(+.f64 (+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t))) t)
7.0ms	(+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t)))
7.0ms	(*.f64 (/.f64 x y) z)
9.0ms	(*.f64 (/.f64 x y) (neg.f64 t))

series42.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t))) t)
14.0ms	(+.f64 (.f64 (/.f64 x y) z) (.f64 (/.f64 x y) (neg.f64 t)))
6.0ms	(*.f64 (/.f64 x y) z)
7.0ms	(*.f64 (/.f64 x y) (neg.f64 t))

simplify33.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5308	913

prune99.0ms

Filtered

82 candidates to 113 candidates (-37.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Merged error: 0.0b

Counts

120 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z t))
1.9b	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
4.6b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

136×	`cbrt-div_binary64`
98×	`frac-times_binary64`
68×	`flip3--_binary64` `flip--_binary64`
50×	`associate-*r/_binary64`
37×	`associate-*l/_binary64`
34×	`add-exp-log_binary64`
24×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
18×	`pow1_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
15×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
14×	`associate-l_binary64`
10×	`times-frac_binary64`
9×	`pow-prod-down_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
2×	`pow1/3_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
1×	`div-inv_binary64`

Counts

4 → 164

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 z t))
3.0ms	(cbrt.f64 (-.f64 z t))
23.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
16.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

series104.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(cbrt.f64 (-.f64 z t))
25.0ms	(cbrt.f64 (-.f64 z t))
14.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t)))) (cbrt.f64 (-.f64 z t)))
39.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 (-.f64 z t)) (cbrt.f64 (-.f64 z t))))

simplify57.0ms

Algorithm

egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5197	3402

prune134.0ms

Filtered

109 candidates to 176 candidates (-61.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	176	7	183

Merged error: 0.0b

Counts

183 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

6.3b	(*.f64 (/.f64 x y) (-.f64 z t))
8.4b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
8.4b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
8.4b	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
15×	`cbrt-div_binary64`
14×	`*-un-lft-identity_binary64`
13×	`associate-l_binary64`
12×	`add-cube-cbrt_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `frac-times_binary64`
6×	`pow1_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
3×	`pow1/3_binary64` `cbrt-prod_binary64`
2×	`sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 82

Calls

4 calls:

10.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
6.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
7.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
6.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))

series119.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
36.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
34.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))
35.0ms	(cbrt.f64 (*.f64 (/.f64 x y) (-.f64 z t)))

simplify39.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5023	958

prune81.0ms

Filtered

79 candidates to 94 candidates (-19.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	94	7	101

Merged error: 0.0b

Counts

101 → 7

regimes336.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	13
1	45	13

end0.0ms

sample593.0ms

Algorithm

intervals

Results

264.0ms	8000×	body	80	valid
65.0ms	2052×	body	80	invalid

Details

analyze620.0ms

sample21.0ms

simplify42.0ms

prune7.0ms

localize10.0ms

rewrite20.0ms

series26.0ms

simplify49.0ms

prune85.0ms

localize9.0ms

rewrite36.0ms

series42.0ms

simplify33.0ms

prune99.0ms

localize12.0ms

rewrite56.0ms

series104.0ms

simplify57.0ms

prune134.0ms

localize11.0ms

rewrite34.0ms

series119.0ms

simplify39.0ms

prune81.0ms

regimes336.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample593.0ms

Profiling