Details

sample35.0ms

Algorithm

intervals

Results

17.0ms	94×	body	1280	valid
4.0ms	208×	body	80	valid
3.0ms	39×	body	640	valid
1.0ms	21×	body	320	valid
1.0ms	14×	body	160	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	18	3
2	26	3
3	48	3
4	110	3
5	318	3
6	1623	3
7	5001	3

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: 29.4b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (exp (* a x)) 1.0)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-sqr-sqrt` `*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

1 → 14

Calls

1 calls:

4.0ms

(- (exp (* a x)) 1.0)

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(- (exp (* a x)) 1.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	103	100
1	300	92
2	1055	90
3	5001	90

prune45.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	11	6	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	6	18

Merged error: 8.3b

Counts

18 → 6

localize8.0ms

Local error

Found 2 expressions with local error:

4.7b	(log (exp (- (exp (* a x)) 1.0)))
4.7b	(- (exp (* a x)) 1.0)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

4.0ms	(log (exp (- (exp (* a x)) 1.0)))
4.0ms	(- (exp (* a x)) 1.0)

series69.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(log (exp (- (exp (* a x)) 1.0)))
33.0ms	(- (exp (* a x)) 1.0)

simplify41.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	142	220
1	385	199
2	1199	196
3	5001	196

prune69.0ms

Filtered

40 candidates to 25 candidates (62.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	39	7	46

Merged error: 8.3b

Counts

46 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(cbrt (pow (- (exp (* a x)) 1.0) 3))
0.1b	(pow (- (exp (* a x)) 1.0) 3)
4.7b	(- (exp (* a x)) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 70

Calls

3 calls:

5.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
5.0ms	(pow (- (exp (* a x)) 1.0) 3)
4.0ms	(- (exp (* a x)) 1.0)

series120.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(cbrt (pow (- (exp (* a x)) 1.0) 3))
47.0ms	(pow (- (exp (* a x)) 1.0) 3)
37.0ms	(- (exp (* a x)) 1.0)

simplify38.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	260	515
1	1047	492
2	5002	482

prune113.0ms

Filtered

79 candidates to 38 candidates (48.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	75	4	79
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	79	7	86

Merged error: 8.3b

Counts

86 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ (exp (* a x)) 1.0) 3)
0.1b	(cbrt (/ (pow (- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0)) 3) (pow (+ (exp (* a x)) 1.0) 3)))
0.1b	(pow (- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0)) 3)
4.7b	(- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

202×	`cbrt-prod`
196×	`times-frac`
155×	`*-un-lft-identity`
120×	`unpow-prod-down` `cube-prod`
95×	`add-sqr-sqrt` `add-cube-cbrt`
31×	`difference-of-squares`
30×	`cube-mult` `unpow3` `distribute-lft-out` `sqr-pow`
6×	`pow1` `add-exp-log` `cube-div` `pow-unpow` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `flip3--` `pow-pow` `flip3-+` `pow-exp` `associate-/r/` `flip--` `flip-+` `rem-cube-cbrt`
1×	`sub-neg` `cbrt-div` `pow1/3` `diff-log` `div-inv`

Counts

4 → 278

Calls

4 calls:

5.0ms	(pow (+ (exp (* a x)) 1.0) 3)
19.0ms	(cbrt (/ (pow (- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0)) 3) (pow (+ (exp (* a x)) 1.0) 3)))
6.0ms	(pow (- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0)) 3)
6.0ms	(- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0))

series206.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(pow (+ (exp (* a x)) 1.0) 3)
63.0ms	(cbrt (/ (pow (- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0)) 3) (pow (+ (exp (* a x)) 1.0) 3)))
62.0ms	(pow (- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0)) 3)
48.0ms	(- (* (exp (* a x)) (exp (* a x))) (* 1.0 1.0))

simplify168.0ms

Algorithm

egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 2 (116.0ms)

Iter	Nodes	Cost
0	808	6330
1	4264	6122
2	5001	5986

prune301.0ms

Filtered

290 candidates to 92 candidates (31.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	288	2	290
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	290	7	297

Merged error: 8.3b

Counts

297 → 7

regimes259.0ms

Accuracy

94.7% (1.1b remaining)

Error of 9.3b against oracle of 8.2b and baseline of 29.5b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	44
1	51	44

end0.0ms

sample929.0ms

Algorithm

intervals

Results

445.0ms	2709×	body	1280	valid
135.0ms	1358×	body	640	valid
105.0ms	5474×	body	80	valid
46.0ms	714×	body	320	valid
17.0ms	394×	body	160	valid