Details

analyze600.0ms

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

sample26.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	57×	body	80	invalid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

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: 2.0b

Counts

2 → 1

localize7.0ms

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))

rewrite21.0ms

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

series28.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
16.0ms	(*.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

prune80.0ms

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: 0b

Counts

60 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 t (*.f64 (/.f64 x y) t))
4.4b	(*.f64 (/.f64 x y) t)
5.2b	(*.f64 (/.f64 x y) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
26×	`associate-l_binary64`
20×	`*-un-lft-identity_binary64` `times-frac_binary64`
19×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`pow1_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `flip--_binary64`

Counts

3 → 76

Calls

3 calls:

3.0ms	(-.f64 t (*.f64 (/.f64 x y) t))
7.0ms	(*.f64 (/.f64 x y) t)
6.0ms	(*.f64 (/.f64 x y) z)

series23.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 t (*.f64 (/.f64 x y) t))
9.0ms	(*.f64 (/.f64 x y) t)
7.0ms	(*.f64 (/.f64 x y) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4958	600
1	4958	600

prune91.0ms

Filtered

61 candidates to 85 candidates (-39.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	86	6	92

Merged error: 0b

Counts

92 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

1.5b	(*.f64 t (-.f64 1 (/.f64 x y)))
5.2b	(*.f64 (/.f64 x y) z)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
16×	`-un-lft-identity_binary64` `associate-l*_binary64`
12×	`add-cube-cbrt_binary64` `times-frac_binary64`
11×	`associate-r_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`difference-of-squares_binary64`
3×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `sub-neg_binary64` `associate-r/_binary64` `-commutative_binary64`
1×	`flip3--_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `associate-*l/_binary64`

Counts

2 → 59

Calls

2 calls:

11.0ms	(*.f64 t (-.f64 1 (/.f64 x y)))
6.0ms	(*.f64 (/.f64 x y) z)

series17.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(*.f64 t (-.f64 1 (/.f64 x y)))
9.0ms	(*.f64 (/.f64 x y) z)

simplify27.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4964	469
1	4964	469

prune62.0ms

Filtered

45 candidates to 65 candidates (-44.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	65	6	71

Merged error: 0b

Counts

71 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.0b	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
4.7b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log_binary64`
35×	`add-cbrt-cube_binary64`
33×	`prod-exp_binary64`
32×	`add-sqr-sqrt_binary64`
24×	`*-un-lft-identity_binary64`
23×	`associate-r_binary64` `times-frac_binary64`
22×	`add-cube-cbrt_binary64`
20×	`cbrt-unprod_binary64`
18×	`div-exp_binary64`
16×	`cbrt-prod_binary64`
12×	`associate-l_binary64`
11×	`pow1_binary64` `frac-times_binary64`
10×	`cbrt-undiv_binary64`
8×	`associate-*r/_binary64`
7×	`associate-*l/_binary64`
6×	`flip3--_binary64` `1-exp_binary64` `flip--_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`pow1/3_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
12.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
15.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(cbrt.f64 x)
18.0ms	(cbrt.f64 x)
35.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
23.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4961	1137
1	4961	1137

prune88.0ms

Filtered

88 candidates to 135 candidates (-53.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	135	6	141

Merged error: 0b

Counts

141 → 6

regimes305.0ms

Accuracy

11.7% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 2.0b

bsearch49.0ms

Steps

Iters	Range		Point
10	29298758301679.08	2.0069317320498233e+28	44607863226960.26
11	-2.8058922917959354e-211	-3.208255411025583e-237	-2.4028729871282748e-228

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	39
1	55	39

end0.0ms

sample578.0ms

Algorithm

intervals

Results

253.0ms	8000×	body	80	valid
67.0ms	2091×	body	80	invalid

Details

analyze600.0ms

sample26.0ms

simplify44.0ms

prune7.0ms

localize7.0ms

rewrite21.0ms

series28.0ms

simplify49.0ms

prune80.0ms

localize8.0ms

rewrite19.0ms

series23.0ms

simplify44.0ms

prune91.0ms

localize8.0ms

rewrite19.0ms

series17.0ms

simplify27.0ms

prune62.0ms

localize12.0ms

rewrite35.0ms

series95.0ms

simplify48.0ms

prune88.0ms

regimes305.0ms

bsearch49.0ms

simplify2.0ms

end0.0ms

sample578.0ms

Profiling