Details

sample31.0ms

Algorithm

intervals

Results

14.0ms	96×	body	1280	valid
3.0ms	174×	body	80	valid
3.0ms	35×	body	640	valid
1.0ms	18×	body	320	valid
1.0ms	15×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (* a x))
3.6b	(- (exp (* a x)) 1.0)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 24

Calls

2 calls:

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

series50.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(exp (* a x))
38.0ms	(- (exp (* a x)) 1.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (10.0ms)

Iter	Nodes	Cost
0	115	135
1	333	127
2	1116	125
3	5001	125

prune72.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.4b

localize12.0ms

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)
3.6b	(- (pow (exp (* a x)) 3) (pow 1.0 3))

rewrite44.0ms

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:

3.0ms	(+ (exp (* a x)) 1.0)
15.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
2.0ms	(pow (exp (* a x)) 3)
21.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

series130.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (exp (* a x)) 1.0)
33.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
28.0ms	(pow (exp (* a x)) 3)
52.0ms	(- (pow (exp (* a x)) 3) (pow 1.0 3))

simplify70.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (61.0ms)

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

prune257.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.4b

localize13.0ms

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))
0.2b	(* (* a x) 3)
3.6b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`pow1` `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×	`flip3-+` `associate-r/` `-commutative` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `sub-neg` `unpow-prod-down` `exp-lft-cube` `exp-prod` `flip3--` `exp-to-pow` `distribute-lft-in` `diff-log` `cube-prod` `sum-log` `flip--` `distribute-lft-out--` `unswap-sqr` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

3.0ms	(+ (exp (* a x)) 1.0)
14.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
6.0ms	(* (* a x) 3)
7.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series124.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(+ (exp (* a x)) 1.0)
39.0ms	(* (exp (* a x)) (+ (exp (* a x)) 1.0))
19.0ms	(* (* a x) 3)
49.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify57.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	377	576
1	1644	515
2	5001	514

prune244.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3)
0.1b	(cbrt (pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3))
0.2b	(* (* a x) 3)
3.6b	(- (exp (* (* a x) 3)) (pow 1.0 3))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-sqr-sqrt`
28×	`cbrt-prod`
27×	`unpow-prod-down` `cube-prod`
21×	`*-un-lft-identity`
20×	`difference-of-squares`
15×	`difference-cubes`
11×	`add-cube-cbrt` `add-log-exp`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`sqr-pow`
5×	`exp-lft-cube` `exp-prod` `exp-to-pow` `distribute-lft-out--`
4×	`cube-div`
3×	`pow-unpow` `flip3--` `associate-r` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod`
2×	`cube-mult` `cbrt-div` `unpow3`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `associate-l` `pow-exp` `*-commutative` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 118

Calls

4 calls:

13.0ms	(pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3)
17.0ms	(cbrt (pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3))
7.0ms	(* (* a x) 3)
7.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

series180.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3)
45.0ms	(cbrt (pow (- (exp (* (* a x) 3)) (pow 1.0 3)) 3))
27.0ms	(* (* a x) 3)
46.0ms	(- (exp (* (* a x) 3)) (pow 1.0 3))

simplify63.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	442	1223
1	2045	1153
2	5003	1147

prune285.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.3b

regimes279.0ms

Accuracy

96% (0.8b remaining)

Error of 9.2b against oracle of 8.4b and baseline of 29.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	55
1	62	55

end0.0ms

sample916.0ms

Algorithm

intervals

Results

420.0ms	2682×	body	1280	valid
132.0ms	1336×	body	640	valid
114.0ms	5531×	body	80	valid
47.0ms	727×	body	320	valid
17.0ms	391×	body	160	valid