Details

analyze623.0ms

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

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	73×	body	80	invalid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	735	13
1	735	13

prune2.0ms

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: 2.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
8.3b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite19.0ms

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:

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

series90.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
56.0ms	(*.f64 (/.f64 x y) (-.f64 z t))

simplify79.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4954	866
1	4954	866

prune44.0ms

Filtered

43 candidates to 59 candidates (-37.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	52	7	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	8	60

Merged error: 0b

Counts

60 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
3.5b	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
3.7b	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-exp-log_binary64`
46×	`prod-exp_binary64`
35×	`add-cbrt-cube_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` `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` `rec-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 → 129

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
11.0ms	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
17.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(cbrt.f64 y)
95.0ms	(cbrt.f64 y)
119.0ms	(*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y)))
80.0ms	(.f64 (/.f64 1 (.f64 (cbrt.f64 y) (cbrt.f64 y))) (*.f64 (-.f64 z t) (/.f64 x (cbrt.f64 y))))

simplify115.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4968	1854
1	4968	1854

prune86.0ms

Filtered

92 candidates to 141 candidates (-53.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	141	8	149

Merged error: 0b

Counts

149 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
0.0b	(/.f64 (-.f64 z t) y)
6.1b	(*.f64 x (/.f64 (-.f64 z t) y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 87

Calls

3 calls:

8.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
6.0ms	(/.f64 (-.f64 z t) y)
10.0ms	(*.f64 x (/.f64 (-.f64 z t) y))

series111.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+.f64 (*.f64 x (/.f64 (-.f64 z t) y)) t)
22.0ms	(/.f64 (-.f64 z t) y)
54.0ms	(*.f64 x (/.f64 (-.f64 z t) y))

simplify88.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5860	1341

prune48.0ms

Filtered

65 candidates to 96 candidates (-47.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	4	5
Picked	0	1	1
Done	0	2	2
Total	96	8	104

Merged error: 0b

Counts

104 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 (*.f64 x (-.f64 z t)) y) t)
0.0b	(*.f64 x (-.f64 z t))
7.5b	(/.f64 (*.f64 x (-.f64 z t)) y)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 59

Calls

3 calls:

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

series113.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+.f64 (/.f64 (*.f64 x (-.f64 z t)) y) t)
28.0ms	(*.f64 x (-.f64 z t))
51.0ms	(/.f64 (*.f64 x (-.f64 z t)) y)

simplify82.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4977	847
1	4977	847

prune32.0ms

Filtered

43 candidates to 68 candidates (-58.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	3	1	4
Picked	0	1	1
Done	2	1	3
Total	70	6	76

Merged error: 0b

Counts

76 → 6

regimes85.0ms

Accuracy

-7% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 1.9b

bsearch32.0ms

Steps

Iters	Range		Point
8	4.3245385866724345e-86	2.9143455998289456e-82	3.603101262572962e-84
8	2.4947416254154084e-254	3.3242957425690217e-251	3.2944057946354315e-254

simplify6.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	40
1	36	40

end0.0ms

sample556.0ms

Algorithm

intervals

Results

244.0ms	8000×	body	80	valid
65.0ms	2143×	body	80	invalid

Details

analyze623.0ms

sample19.0ms

simplify65.0ms

prune2.0ms

localize6.0ms

rewrite19.0ms

series90.0ms

simplify79.0ms

prune44.0ms

localize12.0ms

rewrite36.0ms

series375.0ms

simplify115.0ms

prune86.0ms

localize6.0ms

rewrite26.0ms

series111.0ms

simplify88.0ms

prune48.0ms

localize7.0ms

rewrite25.0ms

series113.0ms

simplify82.0ms

prune32.0ms

regimes85.0ms

bsearch32.0ms

simplify6.0ms

end0.0ms

sample556.0ms

Profiling