Details

sample66.0ms

Algorithm

intervals

Results

36.0ms	75×	body	1280	valid
12.0ms	51×	body	640	valid
3.0ms	24×	body	320	valid
2.0ms	92×	body	80	valid
2.0ms	96×	body	80	nan
1.0ms	14×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

prune4.0ms

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: 38.3b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

4.0b	(log (+ 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`log-prod` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `log-div`
1×	`flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

simplify56.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4927	144
1	4927	144

prune42.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	13	5	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	6	19

Merged error: 0.1b

Counts

19 → 6

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-log-exp`
3×	`sum-log`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

1 → 13

Calls

1 calls:

8.0ms

(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(+ (* 1.0 x) (+ (log 1.0) (* (* x x) (/ -1/2 (* 1.0 1.0)))))

simplify22.0ms

Algorithm

egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5264	283

prune39.0ms

Filtered

12 candidates to 16 candidates (-33.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	15	7	22

Merged error: 0.1b

Counts

22 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt (pow (log (+ 1.0 x)) 3))
0.3b	(pow (log (+ 1.0 x)) 3)
4.0b	(log (+ 1.0 x))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
10×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `cube-prod`
5×	`add-exp-log` `log-pow`
4×	`log-prod` `add-cbrt-cube`
3×	`pow-unpow` `add-log-exp`
2×	`cube-mult` `log-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `flip3-+` `pow1/3` `rem-log-exp` `pow-exp` `rem-cbrt-cube` `flip-+` `distribute-lft-out` `rem-cube-cbrt`

Counts

3 → 63

Calls

3 calls:

2.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
2.0ms	(pow (log (+ 1.0 x)) 3)
3.0ms	(log (+ 1.0 x))

series19.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(cbrt (pow (log (+ 1.0 x)) 3))
11.0ms	(pow (log (+ 1.0 x)) 3)
5.0ms	(log (+ 1.0 x))

simplify52.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5031	807

prune101.0ms

Filtered

41 candidates to 72 candidates (-75.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	73	6	79

Merged error: 0.1b

Counts

79 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (log (+ 1.0 x)))
0.2b	(cbrt (pow (log (+ 1.0 x)) 2))
4.0b	(log (+ 1.0 x))
4.0b	(log (+ 1.0 x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod` `*-un-lft-identity`
9×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `log-prod`
6×	`add-exp-log`
4×	`unpow-prod-down` `log-div` `log-pow` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `pow1/3` `rem-log-exp` `flip-+` `distribute-lft-out`
1×	`unpow2` `sqr-pow`

Counts

4 → 59

Calls

4 calls:

1.0ms	(cbrt (log (+ 1.0 x)))
2.0ms	(cbrt (pow (log (+ 1.0 x)) 2))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

series45.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(cbrt (log (+ 1.0 x)))
27.0ms	(cbrt (pow (log (+ 1.0 x)) 2))
3.0ms	(log (+ 1.0 x))
3.0ms	(log (+ 1.0 x))

simplify45.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4976	926
1	4976	926

prune148.0ms

Filtered

52 candidates to 71 candidates (-36.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	67	4	71
Fresh	2	1	3
Picked	1	0	1
Done	0	2	2
Total	70	7	77

Merged error: 0.1b

Counts

77 → 7

regimes219.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	26
1	21	26

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.1s	2325×	body	1280	valid
389.0ms	1679×	body	640	valid
99.0ms	794×	body	320	valid
73.0ms	2775×	body	80	valid
50.0ms	2651×	body	80	nan
31.0ms	427×	body	160	valid

Details

sample66.0ms

simplify3.0ms

prune4.0ms

localize4.0ms

rewrite4.0ms

series3.0ms

simplify56.0ms

prune42.0ms

localize10.0ms

rewrite9.0ms

series4.0ms

simplify22.0ms

prune39.0ms

localize6.0ms

rewrite9.0ms

series19.0ms

simplify52.0ms

prune101.0ms

localize11.0ms

rewrite11.0ms

series45.0ms

simplify45.0ms

prune148.0ms

regimes219.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.9s

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