Details

sample31.0ms

Algorithm

intervals

Results

13.0ms	92×	body	1280	valid
4.0ms	39×	body	640	valid
3.0ms	164×	body	80	valid
2.0ms	28×	body	320	valid
0.0ms	7×	body	160	valid

simplify62.0ms

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: 28.7b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.7b	(- (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)

simplify40.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (11.0ms)

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

prune42.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	13	4	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	4	18

Merged error: 7.9b

Counts

18 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0))
0.0b	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
0.0b	(pow (exp (* a x)) 3)
2.7b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
21×	`*-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×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`difference-cubes` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `exp-prod` `flip3--` `exp-to-pow` `diff-log` `unpow3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 95

Calls

4 calls:

8.0ms	(+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0))
7.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
6.0ms	(pow (exp (* a x)) 3)
11.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series160.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (* (exp (* a x)) (+ (exp (* a x)) 1.0)) (* 1.0 1.0))
33.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
27.0ms	(pow (exp (* a x)) 3)
52.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify86.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	430	838
1	2036	798
2	5002	778

prune213.0ms

Filtered

107 candidates to 64 candidates (59.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	102	5	107
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	105	6	111

Merged error: 7.9b

Counts

111 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
0.0b	(exp (* (* a x) 3))
0.3b	(* (* a x) 3)
2.7b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
2.0ms	(exp (* (* a x) 3))
5.0ms	(* (* a x) 3)
6.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series122.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
18.0ms	(exp (* (* a x) 3))
19.0ms	(* (* a x) 3)
48.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify56.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	363	541
1	1609	480
2	5001	479

prune173.0ms

Filtered

84 candidates to 52 candidates (61.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	84	6	90

Merged error: 7.9b

Counts

90 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (- (pow (exp (* a x)) 3) (pow 1.0 3))) (cbrt (- (pow (exp (* a x)) 3) (pow 1.0 3))))
2.7b	(- (pow (exp (* a x)) 3) (pow 1.0 3))
2.7b	(- (pow (exp (* a x)) 3) (pow 1.0 3))
2.7b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

260×	`add-sqr-sqrt`
172×	`cbrt-prod`
152×	`difference-of-squares`
140×	`unpow-prod-down` `cube-prod`
136×	`*-un-lft-identity`
64×	`sqr-pow`
62×	`swap-sqr`
61×	`distribute-lft-out--`
28×	`associate-r` `associate-l`
12×	`add-cube-cbrt` `cbrt-div`
11×	`pow1`
10×	`add-log-exp`
9×	`flip3--` `flip--`
7×	`difference-cubes`
6×	`add-exp-log` `pow1/3`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
3×	`sub-neg` `diff-log`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 250

Calls

4 calls:

42.0ms	(* (cbrt (- (pow (exp (* a x)) 3) (pow 1.0 3))) (cbrt (- (pow (exp (* a x)) 3) (pow 1.0 3))))
11.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
12.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
11.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series325.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(* (cbrt (- (pow (exp (* a x)) 3) (pow 1.0 3))) (cbrt (- (pow (exp (* a x)) 3) (pow 1.0 3))))
55.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
52.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))
59.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

262 → 262

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	414	4138
1	1442	4048
2	5001	3820

prune574.0ms

Filtered

262 candidates to 132 candidates (50.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	261	1	262
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	263	5	268

Merged error: 7.9b

Counts

268 → 5

regimes184.0ms

Accuracy

94.4% (1.2b remaining)

Error of 9.3b against oracle of 8.2b and baseline of 29.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	25
1	43	25

end0.0ms

sample927.0ms

Algorithm

intervals

Results

431.0ms	2721×	body	1280	valid
131.0ms	1307×	body	640	valid
108.0ms	5514×	body	80	valid
49.0ms	706×	body	320	valid
20.0ms	447×	body	160	valid

Details

sample31.0ms

simplify62.0ms

prune2.0ms

localize5.0ms

rewrite4.0ms

series33.0ms

simplify40.0ms

prune42.0ms

localize13.0ms

rewrite36.0ms

series160.0ms

simplify86.0ms

prune213.0ms

localize14.0ms

rewrite23.0ms

series122.0ms

simplify56.0ms

prune173.0ms

localize17.0ms

rewrite95.0ms

series325.0ms

simplify79.0ms

prune574.0ms

regimes184.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample927.0ms

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