Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	103×	body	1280	valid
8.0ms	94×	body	640	valid
4.0ms	395×	pre	80	true
2.0ms	148×	body	80	valid
2.0ms	34×	body	320	valid
1.0ms	16×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	2
1	7	2
2	7	2

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize3.0ms

Local error

Found 1 expressions with local error:

4.9b	(- (exp 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 x) 1.0)

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(- (exp x) 1.0)

simplify53.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune43.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

13.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series81.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify42.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	247	239
1	1168	216
2	5001	216

prune100.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
0.1b	(pow (exp x) 3)
4.8b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
11.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
2.0ms	(pow (exp x) 3)
17.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series103.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(+ 1.0 (exp x))
31.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
24.0ms	(pow (exp x) 3)
40.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify60.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	371	579
1	1587	546
2	5001	526

prune198.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp (+ x x)) (exp x))
0.0b	(+ 1.0 (exp x))
0.0b	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
4.8b	(- (* (exp (+ x x)) (exp x)) (pow 1.0 3))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

22×	`*-un-lft-identity`
18×	`exp-prod`
15×	`add-sqr-sqrt`
10×	`add-log-exp`
9×	`add-cube-cbrt`
7×	`pow1`
6×	`pow-prod-up` `add-cbrt-cube`
4×	`add-exp-log` `associate-l` `exp-sum` `pow-prod-down` `distribute-lft-out`
3×	`distribute-rgt-out` `associate-r`
2×	`+-commutative` `associate-+l+` `flip3-+` `pow3` `sum-log` `flip-+` `unswap-sqr`
1×	`difference-cubes` `distribute-rgt-in` `sub-neg` `flip3--` `distribute-lft-in` `distribute-lft1-in` `pow-plus` `count-2` `diff-log` `distribute-rgt1-in` `prod-exp` `*-commutative` `flip--` `cbrt-unprod`

Counts

4 → 69

Calls

4 calls:

37.0ms	(* (exp (+ x x)) (exp x))
3.0ms	(+ 1.0 (exp x))
14.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
33.0ms	(- (* (exp (+ x x)) (exp x)) (pow 1.0 3))

series100.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* (exp (+ x x)) (exp x))
8.0ms	(+ 1.0 (exp x))
33.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
39.0ms	(- (* (exp (+ x x)) (exp x)) (pow 1.0 3))

simplify43.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	343	478
1	1295	385
2	5001	385

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample1.1s

Algorithm

intervals

Results

508.0ms	3482×	body	1280	valid
217.0ms	2463×	body	640	valid
103.0ms	11989×	pre	80	true
66.0ms	1231×	body	320	valid
52.0ms	4190×	body	80	valid
21.0ms	623×	body	160	valid