Details

sample62.0ms

Algorithm

intervals

Results

34.0ms	72×	body	1280	valid
10.0ms	48×	body	640	valid
4.0ms	31×	body	320	valid
2.0ms	92×	body	80	valid
2.0ms	71×	body	80	nan
1.0ms	13×	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

prune3.0ms

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: 38.4b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

3.6b	(log (+ 1.0 x))

rewrite3.0ms

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))

simplify40.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5648	142

prune36.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`-un-lft-identity` `associate-r*`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-l` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`

Counts

1 → 26

Calls

1 calls:

7.0ms

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

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

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

simplify25.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5063	344

prune47.0ms

Filtered

20 candidates to 29 candidates (-45.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	28	1	29
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	29	4	33

Merged error: 0.1b

Counts

33 → 4

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 12

Calls

1 calls:

4.0ms

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

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify36.0ms

Algorithm

egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4977	216
1	4977	216

prune28.0ms

Filtered

12 candidates to 15 candidates (-25.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	15	0	15
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	15	4	19

Merged error: 0.1b

Counts

19 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.0b	(sqrt (+ 1.0 x))
3.6b	(log (sqrt (+ 1.0 x)))
3.6b	(log (sqrt (+ 1.0 x)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`sqrt-prod`
14×	`log-prod`
12×	`add-sqr-sqrt`
10×	`pow1` `add-cube-cbrt`
8×	`sqrt-div`
6×	`add-exp-log` `log-pow`
4×	`log-div` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`
2×	`rem-sqrt-square` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))
4.0ms	(log (sqrt (+ 1.0 x)))
4.0ms	(log (sqrt (+ 1.0 x)))

series18.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
3.0ms	(sqrt (+ 1.0 x))
6.0ms	(log (sqrt (+ 1.0 x)))
6.0ms	(log (sqrt (+ 1.0 x)))

simplify48.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5527	848

prune145.0ms

Filtered

64 candidates to 84 candidates (-31.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	1	0	1
Picked	1	0	1
Done	0	2	2
Total	83	5	88

Merged error: 0.1b

Counts

88 → 5

regimes140.0ms

Accuracy

99% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	34
1	29	34

end0.0ms

sample1.9s

Algorithm

intervals

Results

1.0s	2236×	body	1280	valid
381.0ms	1679×	body	640	valid
101.0ms	857×	body	320	valid
73.0ms	2798×	body	80	valid
46.0ms	2588×	body	80	nan
30.0ms	430×	body	160	valid

Details

sample62.0ms

simplify3.0ms

prune3.0ms

localize4.0ms

rewrite3.0ms

series3.0ms

simplify40.0ms

prune36.0ms

localize8.0ms

rewrite8.0ms

series6.0ms

simplify25.0ms

prune47.0ms

localize9.0ms

rewrite4.0ms

series9.0ms

simplify36.0ms

prune28.0ms

localize6.0ms

rewrite15.0ms

series18.0ms

simplify48.0ms

prune145.0ms

regimes140.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.9s

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