Details

analyze356.0ms

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

sample19.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
1.0ms	32×	body	80	invalid

simplify61.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	739	15
1	739	15

prune4.0ms

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

localize12.0ms

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))
3.2b	(*.f64 (/.f64 x y) z)

rewrite23.0ms

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:

5.0ms	(/.f64 (+.f64 x 4) y)
9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms	(*.f64 (/.f64 x y) z)

series75.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/.f64 (+.f64 x 4) y)
34.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
22.0ms	(*.f64 (/.f64 x y) z)

simplify79.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5130	1156

prune72.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	83	4	87
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	84	5	89

Merged error: 0.0b

Counts

89 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (/.f64 (+.f64 x 4) y))
0.6b	(cbrt.f64 (/.f64 (+.f64 x 4) y))
0.6b	(cbrt.f64 (/.f64 (+.f64 x 4) y))
3.2b	(*.f64 (/.f64 x y) z)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

54×	`*-un-lft-identity_binary64`
48×	`cbrt-prod_binary64`
46×	`times-frac_binary64`
41×	`add-sqr-sqrt_binary64`
36×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
9×	`distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64`
3×	`cbrt-div_binary64` `associate-r_binary64` `pow1/3_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 107

Calls

4 calls:

4.0ms	(cbrt.f64 (/.f64 (+.f64 x 4) y))
4.0ms	(cbrt.f64 (/.f64 (+.f64 x 4) y))
4.0ms	(cbrt.f64 (/.f64 (+.f64 x 4) y))
6.0ms	(*.f64 (/.f64 x y) z)

series261.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt.f64 (/.f64 (+.f64 x 4) y))
75.0ms	(cbrt.f64 (/.f64 (+.f64 x 4) y))
86.0ms	(cbrt.f64 (/.f64 (+.f64 x 4) y))
24.0ms	(*.f64 (/.f64 x y) z)

simplify88.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4941	1980
1	4941	1980

prune204.0ms

Filtered

94 candidates to 119 candidates (-26.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	119	5	124

Merged error: 0.0b

Counts

124 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

2.9b	(/.f64 (-.f64 (+.f64 x 4) (*.f64 x z)) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
3×	`associate-/r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`

Counts

1 → 30

Calls

1 calls:

8.0ms

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

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify64.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5408	690

prune40.0ms

Filtered

26 candidates to 33 candidates (-26.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	32	6	38

Merged error: 0.0b

Counts

38 → 6

localize15.0ms

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
2.9b	(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64`
54×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`associate-/r*_binary64`
15×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`add-log-exp_binary64` `1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 113

Calls

2 calls:

19.0ms	(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
13.0ms	(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))

series119.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/.f64 1 (/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z))))
79.0ms	(/.f64 y (-.f64 (+.f64 x 4) (*.f64 x z)))

simplify106.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4944	3062
1	4944	3062

prune232.0ms

Filtered

77 candidates to 119 candidates (-54.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	119	6	125

Merged error: 0.0b

Counts

125 → 6

regimes59.0ms

Accuracy

85% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.7b

bsearch40.0ms

Steps

Iters	Range		Point
9	7.673421744172357e-43	8.102425681624269e-36	6.001986944859844e-37
8	-9.954147554684074e+131	-2.2900430517173643e+129	-2.3137366845613107e+129

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	73	47
1	73	47

end0.0ms

sample529.0ms

Algorithm

intervals

Results

300.0ms	8000×	body	80	valid
44.0ms	1221×	body	80	invalid

Details

analyze356.0ms

sample19.0ms

simplify61.0ms

prune4.0ms

localize12.0ms

rewrite23.0ms

series75.0ms

simplify79.0ms

prune72.0ms

localize13.0ms

rewrite22.0ms

series261.0ms

simplify88.0ms

prune204.0ms

localize8.0ms

rewrite8.0ms

series39.0ms

simplify64.0ms

prune40.0ms

localize15.0ms

rewrite42.0ms

series119.0ms

simplify106.0ms

prune232.0ms

regimes59.0ms

bsearch40.0ms

simplify4.0ms

end0.0ms

sample529.0ms

Profiling