Details

sample54.0ms

Algorithm

intervals

Results

23.0ms	117×	body	1280	valid
10.0ms	73×	body	640	valid
5.0ms	381×	pre	80	true
4.0ms	135×	body	80	valid
3.0ms	35×	body	320	valid
1.0ms	21×	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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.0b

localize3.0ms

Local error

Found 1 expressions with local error:

6.7b	(- (exp x) 1.0)

rewrite5.0ms

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)

series17.0ms

Counts

1 → 3

Calls

1 calls:

17.0ms

(- (exp x) 1.0)

simplify54.0ms

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

prune38.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 62

Calls

3 calls:

6.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
16.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series101.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
62.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	310	356
1	1545	328
2	5001	327

prune135.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.6b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

47.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
5.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
6.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
6.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

series249.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
62.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
62.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
57.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	327	1561
1	1198	1468
2	5001	1375

prune279.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
0.7b	(cbrt (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
0.7b	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
0.7b	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

48×	`cbrt-div`
20×	`cbrt-prod`
14×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `associate-r/` `associate-l/` `add-cbrt-cube` `add-log-exp`

Counts

4 → 66

Calls

4 calls:

6.0ms	(cbrt (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
6.0ms	(cbrt (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
21.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
18.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

series258.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(cbrt (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
64.0ms	(cbrt (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
63.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))
66.0ms	(cbrt (* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

simplify103.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	317	1668
1	880	1580
2	3448	1554
3	5002	1554

prune337.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes80.0ms

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

sample1.6s

Algorithm

intervals

Results

697.0ms	3436×	body	1280	valid
328.0ms	2456×	body	640	valid
150.0ms	11987×	pre	80	true
120.0ms	4179×	body	80	valid
117.0ms	1259×	body	320	valid
41.0ms	657×	body	160	valid