Details

sample36.0ms

Algorithm

intervals

Results

13.0ms	101×	body	1280	valid
7.0ms	89×	body	640	valid
3.0ms	371×	pre	80	true
2.0ms	45×	body	320	valid
1.0ms	120×	body	80	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: 59.3b

localize3.0ms

Local error

Found 1 expressions with local error:

5.0b	(- (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)

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

prune37.0ms

Pruning

2 alts after pruning (2 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))
0.4b	(* x 1/6)

rewrite20.0ms

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:

8.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series109.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
60.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
17.0ms	(* x 1/6)

simplify52.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (47.0ms)

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

prune124.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
0.4b	(* x 1/6)
0.4b	(* x 1/6)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
23×	`pow1`
20×	`associate-l`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
15×	`add-exp-log` `associate-r`
12×	`sqrt-div` `add-cbrt-cube`
10×	`unswap-sqr`
8×	`sqrt-pow1` `pow1/2` `swap-sqr`
7×	`flip3-+` `flip-+`
6×	`prod-exp`
5×	`pow-prod-down` `pow-prod-up`
4×	`frac-times` `unpow-prod-down` `associate-r/` `-commutative` `cbrt-unprod` `add-log-exp`
3×	`pow-sqr`
2×	`associate-*l/` `unpow2` `sqr-pow`
1×	`pow2` `distribute-rgt-in` `pow-to-exp` `distribute-lft-in` `pow-plus` `sqrt-unprod` `pow-exp` `rem-square-sqrt`

Counts

4 → 124

Calls

4 calls:

7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
19.0ms	(* (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
3.0ms	(* x 1/6)
4.0ms	(* x 1/6)

series125.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
32.0ms	(* (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
13.0ms	(* x 1/6)
14.0ms	(* x 1/6)

simplify76.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	385	950
1	1930	847
2	5001	816

prune248.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b	(* x 1/6)
0.4b	(* x 1/6)
0.4b	(* x 1/6)
0.5b	(pow (cbrt (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) 4)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`unpow-prod-down` `associate-r` `associate-l`
6×	`cbrt-prod`
4×	`add-log-exp`
3×	`pow-unpow` `pow-prod-down` `prod-exp` `sqrt-prod` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`pow-pow`
1×	`pow-to-exp` `pow1/3` `pow-exp` `sqr-pow`

Counts

4 → 78

Calls

4 calls:

4.0ms	(* x 1/6)
3.0ms	(* x 1/6)
4.0ms	(* x 1/6)
10.0ms	(pow (cbrt (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) 4)

series127.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* x 1/6)
13.0ms	(* x 1/6)
18.0ms	(* x 1/6)
82.0ms	(pow (cbrt (sqrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))) 4)

simplify182.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	272	510
1	991	482
2	4876	466
3	5001	466

prune255.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes51.0ms

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

484.0ms	3398×	body	1280	valid
210.0ms	2459×	body	640	valid
99.0ms	12062×	pre	80	true
68.0ms	1317×	body	320	valid
50.0ms	4232×	body	80	valid
23.0ms	656×	body	160	valid