Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	58×	body	1280	valid
3.0ms	38×	body	640	valid
3.0ms	133×	body	80	valid
1.0ms	21×	body	320	valid
0.0ms	6×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	4
1	10	4
2	10	4

prune2.0ms

Filtered

1 candidates to 0 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: 29.4b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`cbrt-div` `pow1/3` `distribute-lft-out`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `flip--` `flip-+`

Counts

3 → 44

Calls

3 calls:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series420.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(cbrt (+ x 1.0))
176.0ms	(cbrt x)
153.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify163.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	287	358
1	934	344
2	4839	322
3	5001	322

prune146.0ms

Filtered

53 candidates to 45 candidates (84.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	44	9	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	45	9	54

Merged error: 14.0b

Counts

54 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
1.6b	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
2.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
23×	`cbrt-prod`
11×	`log-pow`
10×	`exp-prod`
8×	`add-cube-cbrt` `difference-of-squares`
6×	`distribute-lft-out--` `add-log-exp`
5×	`pow1` `log-prod`
4×	`add-exp-log` `add-cbrt-cube`
3×	`distribute-lft-out`
2×	`sub-neg` `cbrt-div` `pow1/3` `exp-sum`
1×	`log-div` `flip3--` `flip3-+` `exp-diff` `diff-log` `rem-log-exp` `flip--` `flip-+`

Counts

4 → 69

Calls

4 calls:

3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
8.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series579.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (+ x 1.0))
185.0ms	(cbrt x)
148.0ms	(log (exp (- (cbrt (+ x 1.0)) (cbrt x))))
155.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify36.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	336	568
1	1025	536
2	5001	505

prune223.0ms

Filtered

81 candidates to 65 candidates (80.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	80	10	90

Merged error: 14.0b

Counts

90 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (pow (- (cbrt (+ x 1.0)) (cbrt x)) 3))
0.3b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
2.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

57×	`cbrt-prod`
33×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
12×	`difference-of-squares`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt` `distribute-lft-out--`
6×	`add-log-exp`
4×	`pow1` `add-exp-log` `cbrt-div` `add-cbrt-cube` `distribute-lft-out`
3×	`pow1/3`
2×	`cube-div` `flip3--` `flip--`
1×	`cube-mult` `sub-neg` `flip3-+` `diff-log` `unpow3` `rem-cbrt-cube` `flip-+` `sqr-pow`

Counts

4 → 81

Calls

4 calls:

10.0ms	(cbrt (pow (- (cbrt (+ x 1.0)) (cbrt x)) 3))
3.0ms	(cbrt (+ x 1.0))
1.0ms	(cbrt x)
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series579.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (pow (- (cbrt (+ x 1.0)) (cbrt x)) 3))
91.0ms	(cbrt (+ x 1.0))
178.0ms	(cbrt x)
156.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	426	729
1	1587	721
2	5001	699

prune231.0ms

Filtered

93 candidates to 64 candidates (68.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	93	10	103

Merged error: 14.0b

Counts

103 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
2.0b	(- (cbrt (+ x 1.0)) (cbrt x))
2.0b	(- (cbrt (+ x 1.0)) (cbrt x))
2.0b	(- (cbrt (+ x 1.0)) (cbrt x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
27×	`cbrt-prod`
26×	`*-un-lft-identity`
12×	`difference-of-squares`
10×	`add-log-exp`
9×	`distribute-lft-out--`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`sub-neg` `flip3--` `diff-log` `flip--` `distribute-lft-out`
1×	`pow1/3`

Counts

4 → 68

Calls

4 calls:

1.0ms	(cbrt x)
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
8.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series646.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt x)
154.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
149.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
155.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify133.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	234	664
1	748	628
2	3971	589
3	5002	589

prune241.0ms

Filtered

80 candidates to 66 candidates (82.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	80	10	90

Merged error: 14.0b

Counts

90 → 10

Details

sample20.0ms

simplify5.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series420.0ms

simplify163.0ms

prune146.0ms

localize13.0ms

rewrite22.0ms

series579.0ms

simplify36.0ms

prune223.0ms

localize9.0ms

rewrite24.0ms

series579.0ms

simplify46.0ms

prune231.0ms

localize15.0ms

rewrite27.0ms

series646.0ms

simplify133.0ms

prune241.0ms

regimes107.0ms

bsearch2.0ms

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