Details

sample76.0ms

Algorithm

intervals

Results

37.0ms	115×	body	1280	valid
16.0ms	79×	body	640	valid
7.0ms	221×	body	80	overflowed
4.0ms	31×	body	320	valid
1.0ms	16×	body	160	valid
1.0ms	15×	body	80	valid

simplify48.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 7 (46.0ms)

Iter	Nodes	Cost
0	15	9
1	24	9
2	32	9
3	44	9
4	63	9
5	179	9
6	1184	9
7	5001	7

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 1.3b

Counts

2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 1 1 (exp (+ x x)))
1.2b	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube`
3×	`associate-/r` `associate-/l`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv` `expm1-udef`

Counts

2 → 40

Calls

2 calls:

1.0ms	(fma 1 1 (exp (+ x x)))
3.0ms	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

series92.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(fma 1 1 (exp (+ x x)))
66.0ms	(/ (expm1 (+ x x)) (fma 1 1 (exp (+ x x))))

simplify76.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (70.0ms)

Iter	Nodes	Cost
0	150	395
1	512	351
2	2464	344
3	5002	343

prune100.0ms

Filtered

46 candidates to 39 candidates (84.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	44	2	46
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	46	2	48

Merged error: 1.1b

Counts

48 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (log1p (exp (* 2 x))))
1.2b	(log1p (exp (* 2 x)))
1.2b	(/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-cbrt-cube`
4×	`add-exp-log` `expm1-log1p-u` `add-log-exp`
3×	`pow1` `exp-prod` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`log1p-udef` `rem-exp-log`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `log1p-expm1` `div-exp` `clear-num` `div-inv` `expm1-udef`

Counts

3 → 55

Calls

3 calls:

2.0ms	(exp (log1p (exp (* 2 x))))
1.0ms	(log1p (exp (* 2 x)))
7.0ms	(/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))

series277.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(exp (log1p (exp (* 2 x))))
57.0ms	(log1p (exp (* 2 x)))
139.0ms	(/ (expm1 (+ x x)) (exp (log1p (exp (* 2 x)))))

simplify69.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (62.0ms)

Iter	Nodes	Cost
0	182	523
1	556	477
2	2509	465
3	5001	451

prune134.0ms

Filtered

64 candidates to 50 candidates (78.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Merged error: 1.1b

Counts

66 → 2

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 1/3 (pow x 3))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `associate-r`
6×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `cube-prod` `unswap-sqr`
3×	`associate-l` `prod-exp` `add-cbrt-cube`
2×	`sqr-pow`
1×	`pow1` `expm1-log1p-u` `cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`

Counts

1 → 33

Calls

1 calls:

6.0ms

(* 1/3 (pow x 3))

series38.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* 1/3 (pow x 3))

simplify157.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	120	118
1	505	107
2	3010	107
3	5001	107

prune56.0ms

Filtered

36 candidates to 22 candidates (61.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	36	2	38

Merged error: 1.1b

Counts

38 → 2

regimes15.0ms

Accuracy

0% (0.1b remaining)

Error of 0.7b against oracle of 0.6b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	7
1	17	7
2	17	7

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	3325×	body	1280	valid
495.0ms	2446×	body	640	valid
239.0ms	7567×	body	80	overflowed
158.0ms	1233×	body	320	valid
48.0ms	603×	body	160	valid
16.0ms	393×	body	80	valid