Details

sample38.0ms

Algorithm

intervals

Results

15.0ms	106×	body	1280	valid
7.0ms	81×	body	640	valid
4.0ms	399×	pre	80	true
2.0ms	42×	body	320	valid
2.0ms	147×	body	80	valid
1.0ms	23×	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: 59.1b

localize3.0ms

Local error

Found 1 expressions with local error:

5.3b	(- (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)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify55.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

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

prune38.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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)

series79.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
17.0ms	(* x 1/6)

simplify46.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (8.0ms)

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

prune94.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(pow (- (exp x) 1.0) 3)
0.1b	(cbrt (pow (- (exp x) 1.0) 3))
5.3b	(- (exp x) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`cbrt-prod`
10×	`unpow-prod-down` `cube-prod`
9×	`add-cube-cbrt`
5×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
4×	`pow1` `add-exp-log` `cube-div` `add-cbrt-cube`
3×	`pow-unpow` `flip3--` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 70

Calls

3 calls:

7.0ms	(pow (- (exp x) 1.0) 3)
7.0ms	(cbrt (pow (- (exp x) 1.0) 3))
4.0ms	(- (exp x) 1.0)

series69.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(pow (- (exp x) 1.0) 3)
14.0ms	(cbrt (pow (- (exp x) 1.0) 3))
14.0ms	(- (exp x) 1.0)

simplify33.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	224	382
1	855	367
2	5002	359

prune98.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes35.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b 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

478.0ms	3441×	body	1280	valid
210.0ms	2488×	body	640	valid
102.0ms	11975×	pre	80	true
64.0ms	1241×	body	320	valid
50.0ms	4170×	body	80	valid
23.0ms	635×	body	160	valid