Details

sample17.0ms

Algorithm

intervals

Results

4.0ms	48×	body	1280	valid
3.0ms	138×	body	80	valid
2.0ms	34×	body	640	valid
1.0ms	22×	body	320	valid
1.0ms	14×	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: 28.1b

Counts

2 → 1

localize5.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.5b	(- (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)
7.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

series398.0ms

Counts

3 → 9

Calls

3 calls:

86.0ms	(cbrt (+ x 1.0))
167.0ms	(cbrt x)
145.0ms	(- (cbrt (+ x 1.0)) (cbrt x))

simplify158.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	287	358
1	934	344
2	4833	322
3	5001	322

prune138.0ms

Filtered

53 candidates to 45 candidates (84.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	43	10	53
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	10	54

Merged error: 11.2b

Counts

54 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (+ x 1.0))
0.6b	(cbrt x)
3.5b	(- (cbrt (+ x 1.0)) (cbrt x))
7.8b	(log (- (cbrt (+ x 1.0)) (cbrt x)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

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

series593.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(cbrt (+ x 1.0))
175.0ms	(cbrt x)
144.0ms	(- (cbrt (+ x 1.0)) (cbrt x))
188.0ms	(log (- (cbrt (+ x 1.0)) (cbrt x)))

simplify47.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	467	711
1	1664	676
2	5001	672

prune241.0ms

Filtered

77 candidates to 64 candidates (83.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	70	7	77
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	74	13	87

Merged error: 10.8b

Counts

87 → 13

localize25.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow (cbrt x) 3)
2.4b	(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
5.8b	(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
7.8b	(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

131×	`add-sqr-sqrt`
86×	`cbrt-prod`
78×	`unpow-prod-down` `cube-prod`
72×	`difference-of-squares`
71×	`*-un-lft-identity`
56×	`log-prod`
26×	`distribute-lft-out--`
25×	`sqr-pow`
24×	`cbrt-div`
21×	`flip3-+` `flip-+`
20×	`log-div`
16×	`frac-add`
11×	`add-cube-cbrt`
8×	`frac-times` `distribute-lft-out`
7×	`pow1` `add-exp-log`
6×	`add-log-exp`
4×	`associate-r/` `associate-l/` `add-cbrt-cube`
3×	`pow-unpow`
2×	`difference-cubes` `flip3--` `pow-pow` `rem-log-exp` `log-pow` `flip--`
1×	`cube-mult` `pow-to-exp` `sub-neg` `pow1/3` `diff-log` `unpow3` `pow-exp` `rem-cube-cbrt`

Counts

4 → 186

Calls

4 calls:

5.0ms	(pow (cbrt x) 3)
22.0ms	(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
23.0ms	(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
14.0ms	(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

series792.0ms

Counts

4 → 12

Calls

4 calls:

225.0ms	(pow (cbrt x) 3)
62.0ms	(- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3))
173.0ms	(log (- (pow (cbrt (+ x 1.0)) 3) (pow (cbrt x) 3)))
332.0ms	(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

simplify60.0ms

Algorithm

egg-herbie

Counts

198 → 198

Iterations

Useful iterations: 1 (29.0ms)

Iter	Nodes	Cost
0	1209	3634
1	5001	3450

prune482.0ms

Filtered

198 candidates to 88 candidates (44.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	7	4	11
Picked	1	0	1
Done	1	0	1
Total	206	5	211

Merged error: 2.1b

Counts

211 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
2.4b	(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
7.8b	(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-div`
42×	`flip3-+` `flip-+`
36×	`log-div`
32×	`frac-add`
23×	`exp-sum`
18×	`associate--r-`
16×	`frac-times`
13×	`*-un-lft-identity`
11×	`add-sqr-sqrt`
9×	`pow1` `add-cube-cbrt`
8×	`exp-prod` `associate-r/` `associate-l/`
6×	`cbrt-prod` `log-prod`
5×	`add-exp-log` `log-pow` `add-log-exp`
4×	`add-cbrt-cube` `distribute-lft-out--`
3×	`associate--l+`
2×	`pow1/3` `rem-exp-log`
1×	`sub-neg` `exp-diff` `diff-log` `rem-log-exp` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
14.0ms	(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
14.0ms	(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

series1.2s

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt x)
179.0ms	(cbrt x)
498.0ms	(exp (- (log 1.0) (log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))))
338.0ms	(log (+ (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0))) (+ (* (cbrt x) (cbrt x)) (* (cbrt (+ x 1.0)) (cbrt x)))))

simplify65.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 1 (30.0ms)

Iter	Nodes	Cost
0	1432	4496
1	5001	4331

prune457.0ms

Filtered

105 candidates to 81 candidates (77.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	99	11	110

Merged error: 0.4b

Counts

110 → 11

regimes69.0ms

Accuracy

0% (0.1b remaining)

Error of 0.5b against oracle of 0.5b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	15
1	15	15

end0.0ms

sample479.0ms

Algorithm

intervals

Results

160.0ms	1681×	body	1280	valid
97.0ms	1263×	body	640	valid
82.0ms	4095×	body	80	valid
35.0ms	640×	body	320	valid
12.0ms	321×	body	160	valid

Details

sample17.0ms

simplify5.0ms

prune2.0ms

localize5.0ms

rewrite12.0ms

series398.0ms

simplify158.0ms

prune138.0ms

localize8.0ms

rewrite21.0ms

series593.0ms

simplify47.0ms

prune241.0ms

localize25.0ms

rewrite74.0ms

series792.0ms

simplify60.0ms

prune482.0ms

localize15.0ms

rewrite37.0ms

series1.2s

simplify65.0ms

prune457.0ms

regimes69.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample479.0ms

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