Details

analyze377.0ms

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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

sample20.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
1.0ms	38×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	766	10
1	766	10

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4.0) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4.0) y) (*.f64 (/.f64 x y) z))
2.4b	(*.f64 (/.f64 x y) z)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l/_binary64`
2×	`associate-/l/_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` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

3 → 78

Calls

3 calls:

6.0ms	(/.f64 (+.f64 x 4.0) y)
10.0ms	(-.f64 (/.f64 (+.f64 x 4.0) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)

series23.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/.f64 (+.f64 x 4.0) y)
13.0ms	(-.f64 (/.f64 (+.f64 x 4.0) y) (*.f64 (/.f64 x y) z))
6.0ms	(*.f64 (/.f64 x y) z)

simplify34.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5147	775

prune99.0ms

Filtered

63 candidates to 87 candidates (-38.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	82	7	89

Merged error: 0b

Counts

89 → 7

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 4.0 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
2.3b	(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite21.0ms

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`
5×	`frac-add_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `associate-+r+_binary64` `associate-*l/_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` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

8.0ms	(+.f64 (/.f64 4.0 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
10.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

series21.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 (/.f64 4.0 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
11.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

simplify54.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5327	722

prune75.0ms

Filtered

49 candidates to 65 candidates (-32.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	65	7	72

Merged error: 0b

Counts

72 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
2.1b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
10.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))

series122.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt.f64 z)
28.0ms	(cbrt.f64 z)
31.0ms	(cbrt.f64 z)
33.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))

simplify33.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4978	477
1	4978	477

prune86.0ms

Filtered

64 candidates to 80 candidates (-25.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	80	7	87

Merged error: 0b

Counts

87 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4.0) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4.0) y) (*.f64 x (/.f64 z y)))
5.7b	(*.f64 x (/.f64 z y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-r_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-r/_binary64` `associate-l_binary64`
2×	`associate-/l/_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` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

3 → 78

Calls

3 calls:

6.0ms	(/.f64 (+.f64 x 4.0) y)
9.0ms	(-.f64 (/.f64 (+.f64 x 4.0) y) (*.f64 x (/.f64 z y)))
7.0ms	(*.f64 x (/.f64 z y))

series20.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(/.f64 (+.f64 x 4.0) y)
10.0ms	(-.f64 (/.f64 (+.f64 x 4.0) y) (*.f64 x (/.f64 z y)))
6.0ms	(*.f64 x (/.f64 z y))

simplify61.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4947	787
1	4947	787

prune67.0ms

Filtered

61 candidates to 87 candidates (-42.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	87	7	94

Merged error: 0b

Counts

94 → 7

regimes175.0ms

Accuracy

82.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch38.0ms

Steps

Iters	Range		Point
9	8.03518833215358e-41	2.0857754669603874e-32	4.179457532768889e-37
9	-1.597933123778717e+116	-5.46296430985705e+107	-1.999698535205023e+108

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	31
1	57	31

end0.0ms

sample553.0ms

Algorithm

intervals

Results

304.0ms	8000×	body	80	valid
47.0ms	1221×	body	80	invalid

Details

analyze377.0ms

sample20.0ms

simplify40.0ms

prune9.0ms

localize8.0ms

rewrite25.0ms

series23.0ms

simplify34.0ms

prune99.0ms

localize8.0ms

rewrite21.0ms

series21.0ms

simplify54.0ms

prune75.0ms

localize12.0ms

rewrite16.0ms

series122.0ms

simplify33.0ms

prune86.0ms

localize8.0ms

rewrite25.0ms

series20.0ms

simplify61.0ms

prune67.0ms

regimes175.0ms

bsearch38.0ms

simplify2.0ms

end0.0ms

sample553.0ms

Profiling