Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

sample20.0ms

Algorithm

intervals

Results

7.0ms	68×	body	640	valid
4.0ms	131×	body	80	valid
3.0ms	42×	body	320	valid
1.0ms	15×	body	160	valid

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	649	11
1	649	11

prune4.0ms

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: 14.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1.0 (-.f64 x 1.0))
0.0b	(/.f64 1.0 (+.f64 x 1.0))
1.7b	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
50×	`add-sqr-sqrt_binary64`
30×	`add-cube-cbrt_binary64`
25×	`distribute-lft-out--_binary64`
10×	`distribute-lft-out_binary64`
9×	`associate-/r*_binary64`
8×	`difference-of-squares_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`div-inv_binary64`
3×	`pow1_binary64` `flip--_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 101

Calls

3 calls:

5.0ms	(/.f64 1.0 (-.f64 x 1.0))
6.0ms	(/.f64 1.0 (+.f64 x 1.0))
28.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))

series15.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(/.f64 1.0 (-.f64 x 1.0))
3.0ms	(/.f64 1.0 (+.f64 x 1.0))
9.0ms	(-.f64 (/.f64 1.0 (+.f64 x 1.0)) (/.f64 1.0 (-.f64 x 1.0)))

simplify70.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4895	1239
1	4895	1239

prune103.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	2	111

Merged error: 0.3b

Counts

111 → 2

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-/r/_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`frac-times_binary64`
3×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `clear-num_binary64` `frac-2neg_binary64` `add-sqr-sqrt_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

1 → 33

Calls

1 calls:

13.0ms

(/.f64 (*.f64 1.0 (*.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/.f64 (*.f64 1.0 (*.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))

simplify26.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5521	553

prune48.0ms

Filtered

23 candidates to 36 candidates (-56.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	31	5	36
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1.0 (+.f64 1.0 x))
0.1b	(/.f64 (.f64 (/.f64 1.0 (+.f64 1.0 x)) (.f64 1.0 -2)) (-.f64 x 1.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`*-un-lft-identity_binary64`
22×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`add-sqr-sqrt_binary64` `times-frac_binary64`
13×	`add-cube-cbrt_binary64`
9×	`associate-/r*_binary64`
8×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
4×	`distribute-lft-out_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64` `associate-*l/_binary64`

Counts

2 → 67

Calls

2 calls:

5.0ms	(/.f64 1.0 (+.f64 1.0 x))
14.0ms	(/.f64 (.f64 (/.f64 1.0 (+.f64 1.0 x)) (.f64 1.0 -2)) (-.f64 x 1.0))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 1.0 (+.f64 1.0 x))
6.0ms	(/.f64 (.f64 (/.f64 1.0 (+.f64 1.0 x)) (.f64 1.0 -2)) (-.f64 x 1.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5200	858

prune80.0ms

Filtered

50 candidates to 73 candidates (-46.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	70	9	79

Merged error: 0.0b

Counts

79 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))
17.6b	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
17.6b	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
17.6b	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod_binary64`
32×	`associate-/r/_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
16×	`frac-times_binary64`
12×	`flip3-+_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
8×	`associate-r/_binary64` `associate-l/_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `times-frac_binary64` `div-inv_binary64`
3×	`cbrt-div_binary64` `pow1/3_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64`

Counts

4 → 99

Calls

4 calls:

13.0ms	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))
10.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
11.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
10.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))

series81.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0)))
25.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
24.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))
26.0ms	(cbrt.f64 (/.f64 (.f64 1.0 (.f64 1.0 -2)) (*.f64 (+.f64 1.0 x) (-.f64 x 1.0))))

simplify42.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5558	2413

prune285.0ms

Filtered

95 candidates to 111 candidates (-16.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	110	1	111
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	111	9	120

Merged error: 0b

Counts

120 → 9

regimes44.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms

sample553.0ms

Algorithm

intervals

Results

196.0ms	1850×	body	640	valid
126.0ms	4252×	body	80	valid
99.0ms	1283×	body	320	valid
32.0ms	615×	body	160	valid

Details

analyze4.0ms

sample20.0ms

simplify50.0ms

prune4.0ms

localize6.0ms

rewrite43.0ms

series15.0ms

simplify70.0ms

prune103.0ms

localize7.0ms

rewrite17.0ms

series6.0ms

simplify26.0ms

prune48.0ms

localize7.0ms

rewrite22.0ms

series9.0ms

simplify42.0ms

prune80.0ms

localize11.0ms

rewrite50.0ms

series81.0ms

simplify42.0ms

prune285.0ms

regimes44.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample553.0ms

Profiling