Details

sample39.0ms

Algorithm

intervals

Results

16.0ms	117×	body	1280	valid
6.0ms	70×	body	640	valid
3.0ms	396×	pre	80	true
2.0ms	47×	body	320	valid
2.0ms	144×	body	80	valid
1.0ms	18×	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: 59.2b

localize3.0ms

Local error

Found 1 expressions with local error:

4.3b	(- (exp x) 1.0)

rewrite10.0ms

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

prune42.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)

rewrite55.0ms

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:

15.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
31.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)

series102.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
65.0ms	(* (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

prune139.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 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)
3.1b	(exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 79

Calls

4 calls:

14.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
31.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
6.0ms	(* x 1/6)
19.0ms	(exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
58.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)
28.0ms	(exp (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

simplify51.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	347	540
1	1665	490
2	5001	475

prune195.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 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)
3.4b	(pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

15.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
31.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
7.0ms	(* x 1/6)
19.0ms	(pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
64.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
12.0ms	(* x 1/6)
64.0ms	(pow E (log (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))

simplify64.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	467	683
1	2055	647
2	5001	641

prune222.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes70.0ms

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

sample1.1s

Algorithm

intervals

Results

465.0ms	3442×	body	1280	valid
205.0ms	2516×	body	640	valid
92.0ms	11820×	pre	80	true
64.0ms	1226×	body	320	valid
44.0ms	4005×	body	80	valid
19.0ms	631×	body	160	valid