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

sample18.0ms

Algorithm

intervals

Results

6.0ms	62×	body	640	valid
4.0ms	137×	body	80	valid
3.0ms	39×	body	320	valid
1.0ms	18×	body	160	valid

simplify20.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	77	16
1	77	16

prune2.0ms

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: 14.0b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
1.8b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity_binary64`
72×	`add-sqr-sqrt_binary64`
69×	`times-frac_binary64`
32×	`add-cube-cbrt_binary64`
27×	`distribute-lft-out--_binary64`
17×	`difference-of-squares_binary64`
11×	`associate-/r*_binary64` `add-exp-log_binary64`
10×	`distribute-lft-out_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64` `div-inv_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`difference-of-sqr-1_binary64` `div-exp_binary64`
3×	`flip--_binary64`
2×	`flip3--_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `pow-flip_binary64` `flip-+_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `frac-sub_binary64`

Counts

3 → 124

Calls

3 calls:

6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))
28.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

series57.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(/.f64 1 (-.f64 x 1))
9.0ms	(/.f64 1 (+.f64 x 1))
38.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

simplify106.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4857	2118
1	4857	2118

prune76.0ms

Filtered

72 candidates to 133 candidates (-84.7%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	1	134

Merged error: 0.7b

Counts

134 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.7b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite5.0ms

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-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify90.0ms

Algorithm

egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5516	557

prune28.0ms

Filtered

26 candidates to 32 candidates (-23.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	29	3	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	4	33

Merged error: 0.7b

Counts

33 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
16.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

10.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
4.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(/.f64 -2 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
52.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
52.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
52.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify77.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5070	1523

prune104.0ms

Filtered

69 candidates to 80 candidates (-15.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	79	5	84

Merged error: 0.7b

Counts

84 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

16.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
16.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

2.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series199.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
49.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
50.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
51.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify153.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4824	1156
1	4824	1156

prune129.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	64	5	69

Merged error: 0.7b

Counts

69 → 5

regimes14.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms

sample549.0ms

Algorithm

intervals

Results

204.0ms	1964×	body	640	valid
119.0ms	4204×	body	80	valid
94.0ms	1245×	body	320	valid
36.0ms	587×	body	160	valid

Details

analyze4.0ms

sample18.0ms

simplify20.0ms

prune2.0ms

localize7.0ms

rewrite44.0ms

series57.0ms

simplify106.0ms

prune76.0ms

localize4.0ms

rewrite5.0ms

series20.0ms

simplify90.0ms

prune28.0ms

localize8.0ms

rewrite21.0ms

series230.0ms

simplify77.0ms

prune104.0ms

localize13.0ms

rewrite11.0ms

series199.0ms

simplify153.0ms

prune129.0ms

regimes14.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample549.0ms

Profiling