Details

analyze400.0ms

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
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56.4%	3.7%	10
46.9%	48.7%	4.4%	11
48%	45.8%	6.2%	12
58.1%	32.2%	9.7%	13
62.1%	27.2%	10.6%	14

sample18.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	35×	body	80	invalid

simplify333.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (330.0ms)

Iter	Nodes	Cost
0	5443	9

prune2.0ms

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: 8.4b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 (-.f64 y z) 1))
7.9b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

10.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
11.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

series17.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 (-.f64 y z) 1))
9.0ms	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	6074	480

prune41.0ms

Filtered

35 candidates to 53 candidates (-51.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	48	5	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Merged error: 0b

Counts

54 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 y z) 1) z)
3.9b	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
27×	`add-sqr-sqrt_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`
14×	`distribute-lft-out_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`distribute-lft-out--_binary64`
5×	`associate-/l*_binary64`
4×	`pow1_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64`
2×	`associate-/l/_binary64` `add-log-exp_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` `associate-r/_binary64` `associate-+l-_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64` `-commutative_binary64`

Counts

2 → 76

Calls

2 calls:

11.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)
13.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)
10.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

simplify52.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5286	844

prune39.0ms

Filtered

47 candidates to 82 candidates (-74.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Merged error: 0b

Counts

88 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (/.f64 x z) (+.f64 y 1)) x)
3.4b	(*.f64 (/.f64 x z) (+.f64 y 1))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

15×	`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`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64`
2×	`flip3-+_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip-+_binary64` `frac-times_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

2 → 52

Calls

2 calls:

8.0ms	(-.f64 (*.f64 (/.f64 x z) (+.f64 y 1)) x)
10.0ms	(*.f64 (/.f64 x z) (+.f64 y 1))

series17.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify47.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4957	556
1	4957	556

prune31.0ms

Filtered

42 candidates to 58 candidates (-38.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	58	5	63

Merged error: 0b

Counts

63 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
5.7b	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (+.f64 (-.f64 y z) 1) (cbrt.f64 z)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

56×	`*-un-lft-identity_binary64`
42×	`add-sqr-sqrt_binary64`
40×	`times-frac_binary64`
34×	`associate-r_binary64`
26×	`add-cube-cbrt_binary64` `cbrt-prod_binary64`
25×	`add-exp-log_binary64`
18×	`add-cbrt-cube_binary64`
12×	`distribute-lft-out_binary64`
8×	`cbrt-unprod_binary64` `prod-exp_binary64`
7×	`cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
6×	`pow1_binary64` `unswap-sqr_binary64` `distribute-lft-out--_binary64`
4×	`add-log-exp_binary64`
3×	`pow1/3_binary64`
2×	`div-inv_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 104

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
23.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (+.f64 (-.f64 y z) 1) (cbrt.f64 z)))

series62.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
18.0ms	(.f64 (/.f64 x (.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (+.f64 (-.f64 y z) 1) (cbrt.f64 z)))

simplify54.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4958	1165
1	4958	1165

prune50.0ms

Filtered

81 candidates to 116 candidates (-43.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	116	5	121

Merged error: 0b

Counts

121 → 5

regimes175.0ms

Accuracy

88.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	43
1	46	43

end0.0ms

sample464.0ms

Algorithm

intervals

Results

233.0ms	8000×	body	80	valid
36.0ms	1068×	body	80	invalid

Details

analyze400.0ms

sample18.0ms

simplify333.0ms

prune2.0ms

localize6.0ms

rewrite22.0ms

series17.0ms

simplify41.0ms

prune41.0ms

localize6.0ms

rewrite27.0ms

series15.0ms

simplify52.0ms

prune39.0ms

localize7.0ms

rewrite20.0ms

series17.0ms

simplify47.0ms

prune31.0ms

localize11.0ms

rewrite31.0ms

series62.0ms

simplify54.0ms

prune50.0ms

regimes175.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample464.0ms

Profiling