Details

sample40.0ms

Algorithm

intervals

Results

16.0ms	89×	body	1280	valid
5.0ms	38×	body	640	valid
4.0ms	163×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	16×	body	160	valid

simplify58.0ms

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

prune3.0ms

Filtered

1 candidates to 0 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: 29.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

4.4b	(- (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)

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

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

simplify38.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (9.0ms)

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

prune48.0ms

Filtered

17 candidates to 12 candidates (29.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	11	6	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	7	18

Merged error: 8.5b

Counts

18 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp (* a x)) 1.0))
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 57

Calls

4 calls:

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

series49.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt (- (exp (* a x)) 1.0))
7.0ms	(- (exp (* a x)) 1.0)
7.0ms	(- (exp (* a x)) 1.0)
7.0ms	(- (exp (* a x)) 1.0)

simplify65.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	172	466
1	517	418
2	2052	400
3	5002	398

prune138.0ms

Filtered

69 candidates to 50 candidates (27.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	68	8	76

Merged error: 8.5b

Counts

76 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

1.9b	(log (exp (cbrt (- (exp (* a x)) 1.0))))
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)
4.4b	(- (exp (* a x)) 1.0)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

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

series47.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(log (exp (cbrt (- (exp (* a x)) 1.0))))
9.0ms	(- (exp (* a x)) 1.0)
7.0ms	(- (exp (* a x)) 1.0)
7.0ms	(- (exp (* a x)) 1.0)

simplify64.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (58.0ms)

Iter	Nodes	Cost
0	197	478
1	552	417
2	2110	399
3	5001	397

prune153.0ms

Filtered

74 candidates to 52 candidates (29.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	74	8	82

Merged error: 8.5b

Counts

82 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (* a x)) 1.0)
0.0b	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
0.0b	(pow (exp (* a x)) 3)
4.4b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`difference-of-squares`
15×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt` `add-log-exp` `sqr-pow`
7×	`pow1` `add-cbrt-cube`
5×	`add-exp-log` `distribute-lft-out--`
4×	`associate-r`
3×	`pow-unpow` `pow-pow` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`difference-cubes` `+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `exp-prod` `flip3--` `exp-to-pow` `distribute-lft-in` `diff-log` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

4.0ms	(+ (exp (* a x)) 1.0)
7.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
3.0ms	(pow (exp (* a x)) 3)
11.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (exp (* a x)) 1.0)
10.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
9.0ms	(pow (exp (* a x)) 3)
15.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify71.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	372	758
1	1805	707
2	5001	687

prune138.0ms

Filtered

106 candidates to 62 candidates (41.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	2	3	5
Picked	1	0	1
Done	1	1	2
Total	106	8	114

Merged error: 8.4b

Counts

114 → 8

regimes532.0ms

Accuracy

94.3% (1.2b remaining)

Error of 9.3b against oracle of 8.1b and baseline of 28.9b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	25
1	43	25

end0.0ms

sample1.2s

Algorithm

intervals

Results

498.0ms	2718×	body	1280	valid
159.0ms	1316×	body	640	valid
141.0ms	5435×	body	80	valid
58.0ms	694×	body	320	valid
22.0ms	403×	body	160	valid

Details

sample40.0ms

simplify58.0ms

prune3.0ms

localize5.0ms

rewrite4.0ms

series7.0ms

simplify38.0ms

prune48.0ms

localize9.0ms

rewrite16.0ms

series49.0ms

simplify65.0ms

prune138.0ms

localize12.0ms

rewrite17.0ms

series47.0ms

simplify64.0ms

prune153.0ms

localize14.0ms

rewrite28.0ms

series40.0ms

simplify71.0ms

prune138.0ms

regimes532.0ms

bsearch1.0ms

simplify1.0ms

end0.0ms

sample1.2s

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