Details

analyze1.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

sample21.0ms

Algorithm

intervals

Results

9.0ms	59×	body	1024	valid
3.0ms	139×	body	128	valid
3.0ms	36×	body	512	valid
1.0ms	17×	body	256	valid
1.0ms	5×	body	2048	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	71	11
1	71	11

prune1.0ms

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: 29.3b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt.f64 (+.f64 x 1))
0.6b	(cbrt.f64 x)
3.3b	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
14×	`*-un-lft-identity_binary64`
13×	`add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`difference-of-squares_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
2×	`cbrt-div_binary64` `distribute-lft-out_binary64` `pow1/3_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 43

Calls

3 calls:

3.0ms	(cbrt.f64 (+.f64 x 1))
1.0ms	(cbrt.f64 x)
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

series312.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(cbrt.f64 (+.f64 x 1))
160.0ms	(cbrt.f64 x)
108.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 x))

simplify80.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4837	734
1	4837	734

prune57.0ms

Filtered

45 candidates to 52 candidates (-15.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 0.3b

Counts

53 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
19.6b	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`add-log-exp_binary64`
4×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1/3_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `flip--_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
9.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

series569.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt.f64 x)
143.0ms	(cbrt.f64 x)
169.0ms	(cbrt.f64 x)
109.0ms	(-.f64 (cbrt.f64 (+.f64 x 1)) (.f64 (.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))

simplify61.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5126	509

prune46.0ms

Filtered

44 candidates to 56 candidates (-27.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	56	6	62

Merged error: 0.3b

Counts

62 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt.f64 (-.f64 x 1))
0.6b	(cbrt.f64 x)
13.3b	(cbrt.f64 (-.f64 (*.f64 x x) 1))
15.7b	(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64`
29×	`cbrt-prod_binary64`
14×	`difference-of-squares_binary64`
13×	`*-un-lft-identity_binary64`
8×	`times-frac_binary64`
7×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
4×	`cbrt-div_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
2×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

4 → 66

Calls

4 calls:

3.0ms	(cbrt.f64 (-.f64 x 1))
1.0ms	(cbrt.f64 x)
5.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 1))
57.0ms	(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))

series424.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(cbrt.f64 (-.f64 x 1))
156.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 (-.f64 (*.f64 x x) 1))
131.0ms	(-.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) 1)) (cbrt.f64 (-.f64 x 1))) (cbrt.f64 x))

simplify51.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5004	1745

prune82.0ms

Filtered

66 candidates to 78 candidates (-18.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Merged error: 0.3b

Counts

84 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (cbrt.f64 x) x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (neg.f64 x))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod_binary64`
24×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
6×	`add-exp-log_binary64` `associate-/l*_binary64`
5×	`pow1_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64`
3×	`associate-/r*_binary64` `distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
1×	`pow-div_binary64` `cbrt-undiv_binary64` `neg-mul-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

4 → 80

Calls

4 calls:

4.0ms	(/.f64 (cbrt.f64 x) x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 (neg.f64 x))

series608.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(/.f64 (cbrt.f64 x) x)
152.0ms	(cbrt.f64 x)
141.0ms	(cbrt.f64 x)
156.0ms	(cbrt.f64 (neg.f64 x))

simplify70.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5219	831

prune94.0ms

Filtered

77 candidates to 92 candidates (-19.5%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	85	7	92
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	13	98

Merged error: 0.1b

Counts

98 → 13

regimes48.0ms

Accuracy

99.1% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 29.9b

bsearch27.0ms

Steps

Iters	Range		Point
9	1492.9427969106268	227053531.1543584	71823.48197809953
7	-8488171.933578627	-43020.9898936067	-65837.53001849857

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	68
1	80	68

end0.0ms

sample503.0ms

Algorithm

intervals

Results

193.0ms	1998×	body	1024	valid
99.0ms	4286×	body	128	valid
68.0ms	972×	body	512	valid
28.0ms	228×	body	2048	valid
26.0ms	516×	body	256	valid

Details

analyze1.0ms

sample21.0ms

simplify10.0ms

prune1.0ms

localize5.0ms

rewrite16.0ms

series312.0ms

simplify80.0ms

prune57.0ms

localize11.0ms

rewrite16.0ms

series569.0ms

simplify61.0ms

prune46.0ms

localize10.0ms

rewrite73.0ms

series424.0ms

simplify51.0ms

prune82.0ms

localize13.0ms

rewrite16.0ms

series608.0ms

simplify70.0ms

prune94.0ms

regimes48.0ms

bsearch27.0ms

simplify5.0ms

end0.0ms

sample503.0ms

Profiling