Details

analyze361.0ms

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	37×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	737	10
1	737	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) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.6b	(*.f64 (/.f64 x y) z)

rewrite28.0ms

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) y)
10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
9.0ms	(*.f64 (/.f64 x y) z)

series24.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/.f64 (+.f64 x 4) y)
11.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)

simplify47.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5080	776

prune102.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	80	7	87
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	81	8	89

Merged error: 0.0b

Counts

89 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
2.6b	(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite23.0ms

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:

10.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
10.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

series22.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
11.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

simplify52.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5218	718

prune75.0ms

Filtered

49 candidates to 65 candidates (-32.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	65	8	73

Merged error: 0.0b

Counts

73 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
2.4b	(.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)))

series90.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 z)
21.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)
32.0ms	(.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

prune91.0ms

Filtered

64 candidates to 80 candidates (-25.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	6	6
Picked	1	0	1
Done	0	1	1
Total	80	8	88

Merged error: 0b

Counts

88 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
2.4b	(.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)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)
20.0ms	(cbrt.f64 z)
32.0ms	(.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

prune72.0ms

Filtered

64 candidates to 80 candidates (-25.0%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	80	8	88

Merged error: 0b

Counts

88 → 8

regimes198.0ms

Accuracy

76.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.6b

bsearch35.0ms

Steps

Iters	Range		Point
9	3.087287727388141e-108	2.88405391868431e-103	1.9654463681291534e-103
9	-43423449127.62759	-514977.19439403806	-54822146.32625891

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	71	31
1	71	31

end0.0ms

sample525.0ms

Algorithm

intervals

Results

289.0ms	8000×	body	80	valid
40.0ms	1133×	body	80	invalid

Details

analyze361.0ms

sample20.0ms

simplify41.0ms

prune9.0ms

localize8.0ms

rewrite28.0ms

series24.0ms

simplify47.0ms

prune102.0ms

localize8.0ms

rewrite23.0ms

series22.0ms

simplify52.0ms

prune75.0ms

localize14.0ms

rewrite16.0ms

series90.0ms

simplify33.0ms

prune91.0ms

localize16.0ms

rewrite16.0ms

series88.0ms

simplify33.0ms

prune72.0ms

regimes198.0ms

bsearch35.0ms

simplify2.0ms

end0.0ms

sample525.0ms

Profiling