Details

sample59.0ms

Algorithm

intervals

Results

36.0ms	85×	body	1280	valid
9.0ms	48×	body	640	valid
2.0ms	24×	body	320	valid
2.0ms	90×	body	80	valid
1.0ms	79×	body	80	nan
1.0ms	9×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

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: 39.2b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

2.5b	(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×	`expm1-log1p-u` `flip3-+` `rem-log-exp` `log-pow` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

1 → 17

Calls

1 calls:

3.0ms

(log (+ 1.0 x))

series46.0ms

Counts

1 → 3

Calls

1 calls:

46.0ms

(log (+ 1.0 x))

simplify41.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	131	99
1	363	89
2	1292	86
3	5002	81

prune53.0ms

Filtered

20 candidates to 15 candidates (75.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	14	6	20
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	6	21

Merged error: 0.1b

Counts

21 → 6

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

(fma x 1.0 (- (log 1.0) (* 1/2 (/ (pow x 2) (pow 1.0 2)))))

simplify127.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	47	115
1	148	97
2	551	97
3	3494	94
4	5001	94

prune43.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	12	1	13
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	12	7	19

Merged error: 0.1b

Counts

19 → 7

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma x (- 1.0 (* 0.5 x)) (log 1.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma x (- 1.0 (* 0.5 x)) (log 1.0))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(fma x (- 1.0 (* 0.5 x)) (log 1.0))

simplify50.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	41	81
1	101	69
2	337	66
3	1472	66
4	5001	66

prune33.0ms

Filtered

13 candidates to 10 candidates (76.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	13	7	20

Merged error: 0.1b

Counts

20 → 7

localize10.0ms

Local error

Found 2 expressions with local error:

2.6b	(log (sqrt (+ 1.0 x)))
2.6b	(log (sqrt (+ 1.0 x)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`log-prod`
10×	`*-un-lft-identity`
8×	`sqrt-prod`
6×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-pow`
4×	`add-exp-log` `log-div` `sqrt-div`
2×	`expm1-log1p-u` `sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

2 → 44

Calls

2 calls:

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

series166.0ms

Counts

2 → 6

Calls

2 calls:

83.0ms	(log (sqrt (+ 1.0 x)))
83.0ms	(log (sqrt (+ 1.0 x)))

simplify45.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 3 (40.0ms)

Iter	Nodes	Cost
0	143	314
1	362	284
2	1284	272
3	5002	264

prune96.0ms

Filtered

50 candidates to 36 candidates (72.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	50	7	57

Merged error: 0.1b

Counts

57 → 7

regimes91.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 22.1b

bsearch2.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

999.0ms	2296×	body	1280	valid
331.0ms	1611×	body	640	valid
83.0ms	791×	body	320	valid
60.0ms	2874×	body	80	valid
35.0ms	2660×	body	80	nan
25.0ms	428×	body	160	valid