Details

sample53.0ms

Algorithm

intervals

Results

23.0ms	120×	body	1280	valid
10.0ms	78×	body	640	valid
5.0ms	388×	pre	80	true
3.0ms	138×	body	80	valid
3.0ms	33×	body	320	valid
1.0ms	19×	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: 58.4b

localize3.0ms

Local error

Found 1 expressions with local error:

5.6b	(- (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)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (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

prune40.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

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

Counts

4 → 73

Calls

4 calls:

3.0ms	(+ (* x 1/6) 1/2)
6.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
13.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)

series138.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x 1/6) 1/2)
29.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
62.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
16.0ms	(* x 1/6)

simplify53.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	331	410
1	1671	376
2	5001	375

prune148.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) 1.0))
5.6b	(- (exp x) 1.0)
5.6b	(- (exp x) 1.0)
5.6b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`add-log-exp`
5×	`cbrt-prod` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3--` `add-cbrt-cube` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`sub-neg` `diff-log`
2×	`cbrt-div`
1×	`pow1/3`

Counts

4 → 57

Calls

4 calls:

3.0ms	(cbrt (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series135.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(cbrt (- (exp x) 1.0))
14.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)

simplify46.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	138	332
1	354	298
2	1056	293
3	5001	293

prune134.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- (exp x) 1.0))
5.6b	(log (exp (- (exp x) 1.0)))
5.6b	(- (exp x) 1.0)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity`
10×	`exp-prod`
8×	`add-log-exp`
6×	`add-cube-cbrt` `log-pow`
5×	`log-prod`
4×	`pow1` `exp-sum`
3×	`add-exp-log` `sub-neg` `add-cbrt-cube` `distribute-lft-out--` `difference-of-squares`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`log-div` `flip3--` `rem-log-exp` `flip--`

Counts

3 → 51

Calls

3 calls:

11.0ms	(exp (- (exp x) 1.0))
11.0ms	(log (exp (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)

series66.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(exp (- (exp x) 1.0))
14.0ms	(log (exp (- (exp x) 1.0)))
14.0ms	(- (exp x) 1.0)

simplify82.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	132	235
1	323	214
2	836	212
3	2686	212
4	5001	212

prune87.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b 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

sample1.5s

Algorithm

intervals

Results

672.0ms	3401×	body	1280	valid
320.0ms	2488×	body	640	valid
133.0ms	12029×	pre	80	true
108.0ms	1279×	body	320	valid
91.0ms	4226×	body	80	valid
34.0ms	635×	body	160	valid