Details

sample40.0ms

Algorithm

intervals

Results

16.0ms	111×	body	1280	valid
7.0ms	80×	body	640	valid
3.0ms	400×	pre	80	true
2.0ms	41×	body	320	valid
2.0ms	151×	body	80	valid
1.0ms	17×	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: 58.6b

localize3.0ms

Local error

Found 1 expressions with local error:

4.6b	(- (exp x) 1.0)

rewrite11.0ms

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:

10.0ms

(- (exp x) 1.0)

series13.0ms

Counts

1 → 3

Calls

1 calls:

13.0ms

(- (exp x) 1.0)

simplify55.0ms

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

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)

rewrite59.0ms

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:

16.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
34.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series99.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
62.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify53.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (47.0ms)

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))

rewrite155.0ms

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:

109.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
16.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
13.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
14.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

series227.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
52.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
57.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
55.0ms	(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

localize18.0ms

Local error

Found 4 expressions with local error:

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))
17.2b	(log (exp (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

rewrite78.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
7×	`log-pow`
6×	`cbrt-div` `exp-prod`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`log-prod` `flip3-+` `pow1/3` `flip-+`
1×	`rem-log-exp`

Counts

4 → 57

Calls

4 calls:

14.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
13.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
13.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
34.0ms	(log (exp (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

series220.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
58.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
57.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
53.0ms	(log (exp (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))))

simplify92.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	203	884
1	601	823
2	2738	815
3	5001	815

prune248.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes63.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

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

480.0ms	3380×	body	1280	valid
222.0ms	2597×	body	640	valid
93.0ms	11953×	pre	80	true
64.0ms	1187×	body	320	valid
50.0ms	4137×	body	80	valid
25.0ms	652×	body	160	valid