Details

analyze409.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	49×	body	80	invalid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4849	11
1	4849	11

prune3.0ms

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: 18.7b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 z z) (+.f64 z 1))
18.4b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

9.0ms	(.f64 (.f64 z z) (+.f64 z 1))
11.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

series26.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(.f64 (.f64 z z) (+.f64 z 1))
20.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

simplify57.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4965	583
1	4965	583

prune47.0ms

Filtered

33 candidates to 57 candidates (-72.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	49	8	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	50	8	58

Merged error: 3.9b

Counts

58 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
9.0b	(.f64 y (/.f64 x (.f64 z z)))
11.4b	(/.f64 x (*.f64 z z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

11.0ms	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
8.0ms	(.f64 y (/.f64 x (.f64 z z)))
6.0ms	(/.f64 x (*.f64 z z))

series32.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(/.f64 (.f64 y (/.f64 x (.f64 z z))) (+.f64 z 1))
10.0ms	(.f64 y (/.f64 x (.f64 z z)))
6.0ms	(/.f64 x (*.f64 z z))

simplify57.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4982	818
1	4982	818

prune63.0ms

Filtered

57 candidates to 88 candidates (-54.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	81	7	88
Fresh	5	2	7
Picked	1	0	1
Done	0	0	0
Total	87	9	96

Merged error: 0.0b

Counts

96 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
2.4b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
13×	`add-exp-log_binary64`
11×	`add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`cbrt-prod_binary64`
7×	`associate-l_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
3×	`associate-r_binary64` `pow1/3_binary64`
2×	`cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
9.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) y)

series87.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(cbrt.f64 x)
16.0ms	(cbrt.f64 x)
17.0ms	(cbrt.f64 x)
38.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) y)

simplify83.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5172	418

prune71.0ms

Filtered

60 candidates to 73 candidates (-21.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	71	11	82

Merged error: 0.0b

Counts

82 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
3.1b	(*.f64 (/.f64 y z) (/.f64 x z))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
22×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `unswap-sqr_binary64`
3×	`associate-/l/_binary64` `div-inv_binary64`
2×	`add-log-exp_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `associate-/r/_binary64` `frac-times_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 84

Calls

2 calls:

12.0ms	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
11.0ms	(*.f64 (/.f64 y z) (/.f64 x z))

series26.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(/.f64 (*.f64 (/.f64 y z) (/.f64 x z)) (+.f64 z 1))
12.0ms	(*.f64 (/.f64 y z) (/.f64 x z))

simplify80.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4950	911
1	4950	911

prune46.0ms

Filtered

60 candidates to 90 candidates (-50.0%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	91	10	101

Merged error: 0.0b

Counts

101 → 10

regimes151.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	18
1	16	18

end0.0ms

sample556.0ms

Algorithm

intervals

Results

286.0ms	8000×	body	80	valid
58.0ms	1517×	body	80	invalid

Details

analyze409.0ms

sample20.0ms

simplify90.0ms

prune3.0ms

localize7.0ms

rewrite22.0ms

series26.0ms

simplify57.0ms

prune47.0ms

localize7.0ms

rewrite27.0ms

series32.0ms

simplify57.0ms

prune63.0ms

localize11.0ms

rewrite15.0ms

series87.0ms

simplify83.0ms

prune71.0ms

localize8.0ms

rewrite26.0ms

series26.0ms

simplify80.0ms

prune46.0ms

regimes151.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample556.0ms

Profiling