Details

analyze386.0ms

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	32×	body	80	invalid

simplify312.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (309.0ms)

Iter	Nodes	Cost
0	5443	9

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: 9.4b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

8.8b	(/.f64 (*.f64 x (+.f64 (-.f64 y z) 1)) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

1 → 23

Calls

1 calls:

10.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify47.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5452	270

prune48.0ms

Filtered

19 candidates to 26 candidates (-36.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	21	5	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	5	27

Merged error: 0.0b

Counts

27 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (+.f64 (-.f64 y z) 1))
2.7b	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity_binary64`
138×	`times-frac_binary64`
70×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
32×	`distribute-lft-out_binary64`
26×	`associate-/r*_binary64`
16×	`distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

2 → 139

Calls

2 calls:

8.0ms	(/.f64 z (+.f64 (-.f64 y z) 1))
14.0ms	(/.f64 x (/.f64 z (+.f64 (-.f64 y z) 1)))

series16.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4983	2087
1	4983	2087

prune121.0ms

Filtered

92 candidates to 145 candidates (-57.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	142	3	145
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	143	7	150

Merged error: 0b

Counts

150 → 7

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 y z) 1) z)
2.7b	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

rewrite24.0ms

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:

9.0ms	(/.f64 (+.f64 (-.f64 y z) 1) z)
12.0ms	(*.f64 x (/.f64 (+.f64 (-.f64 y z) 1) z))

series14.0ms

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))

simplify48.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5286	844

prune69.0ms

Filtered

49 candidates to 82 candidates (-67.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 (-.f64 y z) 1))
0.2b	(*.f64 z (/.f64 1 (+.f64 (-.f64 y z) 1)))
2.7b	(/.f64 x (*.f64 z (/.f64 1 (+.f64 (-.f64 y z) 1))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity_binary64`
35×	`times-frac_binary64`
32×	`add-sqr-sqrt_binary64`
31×	`add-exp-log_binary64`
25×	`add-cube-cbrt_binary64`
21×	`associate-r_binary64`
19×	`add-cbrt-cube_binary64`
14×	`distribute-lft-out_binary64`
11×	`div-exp_binary64`
8×	`prod-exp_binary64`
7×	`distribute-lft-out--_binary64`
6×	`associate-/r_binary64` `pow1_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `associate-/l_binary64`
4×	`cbrt-unprod_binary64`
3×	`add-log-exp_binary64` `1-exp_binary64` `associate-l_binary64` `unswap-sqr_binary64` `rec-exp_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `un-div-inv_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `inv-pow_binary64` `pow-flip_binary64` `*-commutative_binary64`

Counts

3 → 112

Calls

3 calls:

9.0ms	(/.f64 1 (+.f64 (-.f64 y z) 1))
13.0ms	(*.f64 z (/.f64 1 (+.f64 (-.f64 y z) 1)))
14.0ms	(/.f64 x (*.f64 z (/.f64 1 (+.f64 (-.f64 y z) 1))))

series21.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 1 (+.f64 (-.f64 y z) 1))
6.0ms	(*.f64 z (/.f64 1 (+.f64 (-.f64 y z) 1)))
10.0ms	(/.f64 x (*.f64 z (/.f64 1 (+.f64 (-.f64 y z) 1))))

simplify54.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	6248	1064

prune73.0ms

Filtered

63 candidates to 121 candidates (-92.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	121	7	128

Merged error: 0b

Counts

128 → 7

regimes231.0ms

Accuracy

96.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 3.5b

bsearch27.0ms

Steps

Iters	Range		Point
9	7487570241.230831	10112900450780444.0	1107741618477.668
6	-1.8944329929988788e-12	-1.5444899736727191e-13	-1.6211922145077054e-12

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	35
1	31	35

end0.0ms

sample463.0ms

Algorithm

intervals

Results

240.0ms	8000×	body	80	valid
31.0ms	991×	body	80	invalid

Details

analyze386.0ms

sample18.0ms

simplify312.0ms

prune3.0ms

localize7.0ms

rewrite11.0ms

series9.0ms

simplify47.0ms

prune48.0ms

localize6.0ms

rewrite30.0ms

series16.0ms

simplify50.0ms

prune121.0ms

localize9.0ms

rewrite24.0ms

series14.0ms

simplify48.0ms

prune69.0ms

localize7.0ms

rewrite40.0ms

series21.0ms

simplify54.0ms

prune73.0ms

regimes231.0ms

bsearch27.0ms

simplify2.0ms

end0.0ms

sample463.0ms

Profiling