Details

analyze426.0ms

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
9.4%	90.5%	0.1%	7
14%	85.8%	0.1%	8
21.1%	78%	0.9%	9
37.3%	60.3%	2.5%	10
39.7%	56.1%	4.2%	11
45.6%	48.7%	5.7%	12
55.9%	35.1%	8.9%	13
57.6%	32.1%	10.3%	14

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	46×	body	80	invalid

simplify252.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (249.0ms)

Iter	Nodes	Cost
0	4940	9
1	4940	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: 11.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z x))
0.0b	(+.f64 x (*.f64 y (-.f64 z x)))
10.7b	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

7.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
6.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

series26.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 y (-.f64 z x))
7.0ms	(+.f64 x (*.f64 y (-.f64 z x)))
11.0ms	(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

simplify66.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4893	763
1	4893	763

prune54.0ms

Filtered

53 candidates to 75 candidates (-41.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	68	7	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	68	8	76

Merged error: 11.3b

Counts

76 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

3.1b	(.f64 (.f64 (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x))))) (/.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))) z))
11.2b	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
11.2b	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
11.2b	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`associate-r_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
19×	`cbrt-prod_binary64`
16×	`add-exp-log_binary64` `frac-times_binary64`
15×	`flip3-+_binary64` `flip-+_binary64`
12×	`associate-*l/_binary64`
10×	`add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`cbrt-unprod_binary64` `prod-exp_binary64`
5×	`associate-*r/_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `pow1/3_binary64` `unswap-sqr_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`associate-l_binary64` `div-inv_binary64` `*-commutative_binary64`

Counts

4 → 100

Calls

4 calls:

18.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x))))) (/.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))) z))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
3.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x)))) (cbrt.f64 (+.f64 x (.f64 y (-.f64 z x))))) (/.f64 (cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x)))) z))
57.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
54.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))
56.0ms	(cbrt.f64 (+.f64 x (*.f64 y (-.f64 z x))))

simplify115.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4921	2173
1	4921	2173

prune59.0ms

Filtered

87 candidates to 112 candidates (-28.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	110	2	112
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	115	5	120

Merged error: 0.0b

Counts

120 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (+.f64 y (/.f64 x z)) (*.f64 y (/.f64 x z)))
3.6b	(*.f64 y (/.f64 x z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`pow1_binary64`
3×	`associate-r/_binary64` `associate-l*_binary64`
2×	`diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `frac-sub_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64` `associate--l+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 47

Calls

2 calls:

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

series17.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4948	510
1	4948	510

prune26.0ms

Filtered

37 candidates to 53 candidates (-43.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	54	4	58

Merged error: 0b

Counts

58 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
3.5b	(*.f64 (/.f64 x z) (-.f64 1 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`-un-lft-identity_binary64` `associate-l*_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `flip--_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_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 → 54

Calls

2 calls:

4.0ms	(+.f64 y (*.f64 (/.f64 x z) (-.f64 1 y)))
12.0ms	(*.f64 (/.f64 x z) (-.f64 1 y))

series18.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify50.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5238	572

prune25.0ms

Filtered

43 candidates to 60 candidates (-39.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Merged error: 0b

Counts

64 → 3

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	20	9

end0.0ms

sample474.0ms

Algorithm

intervals

Results

249.0ms	8000×	body	80	valid
31.0ms	1063×	body	80	invalid

Details

analyze426.0ms

sample17.0ms

simplify252.0ms

prune2.0ms

localize6.0ms

rewrite18.0ms

series26.0ms

simplify66.0ms

prune54.0ms

localize10.0ms

rewrite30.0ms

series180.0ms

simplify115.0ms

prune59.0ms

localize6.0ms

rewrite18.0ms

series17.0ms

simplify53.0ms

prune26.0ms

localize6.0ms

rewrite18.0ms

series18.0ms

simplify50.0ms

prune25.0ms

regimes120.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample474.0ms

Profiling