Details

sample44.0ms

Algorithm

intervals

Results

20.0ms	90×	body	1280	valid
7.0ms	45×	body	640	valid
5.0ms	159×	body	80	valid
2.0ms	22×	body	320	valid
1.0ms	11×	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: 30.4b

localize4.0ms

Local error

Found 1 expressions with local error:

4.2b	(- (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)

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(- (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

prune49.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
7.7b	(* (* 1/2 (pow a 2)) x)
12.3b	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
14.4b	(* (pow a 3) (pow x 3))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
28×	`add-exp-log`
18×	`associate-r`
17×	`prod-exp` `unswap-sqr`
16×	`associate-l`
14×	`unpow-prod-down` `cube-prod`
13×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
10×	`sqr-pow`
8×	`pow1`
7×	`pow-to-exp` `pow-exp`
6×	`add-log-exp`
5×	`cbrt-unprod`
3×	`pow-prod-down` `*-commutative`
2×	`distribute-rgt-in` `cube-mult` `associate-+l+` `distribute-lft-in` `flip3-+` `unpow3` `associate-*r/` `flip-+`
1×	`+-commutative` `sum-log`

Counts

4 → 113

Calls

4 calls:

7.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
9.0ms	(* (* 1/2 (pow a 2)) x)
6.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
12.0ms	(* (pow a 3) (pow x 3))

series232.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
20.0ms	(* (* 1/2 (pow a 2)) x)
92.0ms	(+ (* x (+ a (* (* 1/2 (pow a 2)) x))) (* 1/6 (* (pow a 3) (pow x 3))))
62.0ms	(* (pow a 3) (pow x 3))

simplify98.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	471	797
1	2758	738
2	5001	738

prune286.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 2.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1/2 (pow a 2))
0.0b	(+ a (* (* 1/2 (pow a 2)) x))
0.5b	(* x (+ a (* (* 1/2 (pow a 2)) x)))
7.7b	(* (* 1/2 (pow a 2)) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log`
18×	`add-sqr-sqrt`
14×	`associate-r`
13×	`add-cbrt-cube`
11×	`prod-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`pow1`
7×	`associate-l`
6×	`add-log-exp`
5×	`cbrt-unprod` `unswap-sqr`
4×	`unpow-prod-down`
3×	`*-commutative`
2×	`pow-to-exp` `flip3-+` `associate-*r/` `pow-prod-down` `pow-exp` `flip-+` `unpow2` `sqr-pow`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `sum-log`

Counts

4 → 79

Calls

4 calls:

6.0ms	(* 1/2 (pow a 2))
2.0ms	(+ a (* (* 1/2 (pow a 2)) x))
7.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
9.0ms	(* (* 1/2 (pow a 2)) x)

series142.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* 1/2 (pow a 2))
39.0ms	(+ a (* (* 1/2 (pow a 2)) x))
57.0ms	(* x (+ a (* (* 1/2 (pow a 2)) x)))
20.0ms	(* (* 1/2 (pow a 2)) x)

simplify56.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	317	462
1	1753	406
2	5002	404

prune158.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.1b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.1b

regimes224.0ms

Accuracy

97% (0.6b remaining)

Error of 0.9b against oracle of 0.3b and baseline of 21.6b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

592.0ms	2663×	body	1280	valid
209.0ms	1358×	body	640	valid
189.0ms	5464×	body	80	valid
81.0ms	749×	body	320	valid
28.0ms	387×	body	160	valid