Details

sample92.0ms

Algorithm

intervals

Results

35.0ms	98×	body	1280	valid
21.0ms	86×	body	640	valid
17.0ms	293×	body	80	valid
6.0ms	40×	body	320	valid
2.0ms	21×	body	160	valid

simplify215.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	5
1	23	5
2	31	5
3	36	5
4	41	5
5	65	5
6	103	5
7	250	5
8	1252	5
9	5001	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

localize9.0ms

Local error

Found 1 expressions with local error:

5.8b	(- (exp x) (exp (- x)))

rewrite7.0ms

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:

6.0ms

(- (exp x) (exp (- x)))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(- (exp x) (exp (- x)))

simplify582.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (28.0ms)

Iter	Nodes	Cost
0	100	120
1	257	108
2	763	107
3	4896	105
4	5001	105

prune48.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down` `add-log-exp`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1` `sum-log`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r+` `flip3-+` `unpow3` `flip-+`

Counts

3 → 69

Calls

3 calls:

9.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
6.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series154.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
54.0ms	(* 1/60 (pow x 5))
42.0ms	(* 1/3 (pow x 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	300	375
1	1301	346
2	5001	346

prune164.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

3.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
6.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series228.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
51.0ms	(* 1/60 (pow x 5))
37.0ms	(* 1/3 (pow x 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	268	317
1	1130	292
2	5001	291

prune158.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp (- (exp x) (exp (- x))))
5.8b	(- (exp x) (exp (- x)))
5.8b	(log (exp (- (exp x) (exp (- x)))))

rewrite49.0ms

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:

19.0ms	(exp (- (exp x) (exp (- x))))
9.0ms	(- (exp x) (exp (- x)))
19.0ms	(log (exp (- (exp x) (exp (- x)))))

series117.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(exp (- (exp x) (exp (- x))))
41.0ms	(- (exp x) (exp (- x)))
37.0ms	(log (exp (- (exp x) (exp (- x)))))

simplify48.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	159	376
1	398	337
2	1413	336
3	5003	336

prune111.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes52.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	3305×	body	1280	valid
582.0ms	2444×	body	640	valid
463.0ms	8144×	body	80	valid
207.0ms	1284×	body	320	valid
76.0ms	682×	body	160	valid