Details

sample80.0ms

Algorithm

intervals

Results

36.0ms	118×	body	1280	valid
18.0ms	73×	body	640	valid
8.0ms	269×	body	80	valid
4.0ms	37×	body	320	valid
1.0ms	18×	body	160	valid

simplify137.0ms

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	243	5
8	1563	5
9	5001	5

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 57.6b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

4.7b	(- (exp x) (exp (neg x)))

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) (exp (neg x)))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify31.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	100	120
1	257	106
2	785	105
3	5001	103

prune40.0ms

Filtered

17 candidates to 14 candidates (17.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	3	18

Merged error: 0.0b

Counts

18 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite20.0ms

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:

7.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series14.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
4.0ms	(* 1/60 (pow x 5))
4.0ms	(* 1/3 (pow x 3))

simplify48.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

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

prune123.0ms

Filtered

78 candidates to 49 candidates (37.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	78	3	81

Merged error: 0b

Counts

81 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

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:

4.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
5.0ms	(* 1/60 (pow x 5))
6.0ms	(* 1/3 (pow x 3))

series20.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(+ (* 1/3 (pow x 3)) (* 1/60 (pow x 5)))
4.0ms	(* 1/60 (pow x 5))
4.0ms	(* 1/3 (pow x 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	268	317
1	1130	291
2	5001	290

prune119.0ms

Filtered

76 candidates to 48 candidates (36.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(cbrt (- (exp x) (exp (neg x))))
4.7b	(- (exp x) (exp (neg x)))
4.7b	(- (exp x) (exp (neg x)))
4.7b	(- (exp x) (exp (neg x)))

rewrite20.0ms

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:

4.0ms	(cbrt (- (exp x) (exp (neg x))))
5.0ms	(- (exp x) (exp (neg x)))
5.0ms	(- (exp x) (exp (neg x)))
5.0ms	(- (exp x) (exp (neg x)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt (- (exp x) (exp (neg x))))
5.0ms	(- (exp x) (exp (neg x)))
7.0ms	(- (exp x) (exp (neg x)))
5.0ms	(- (exp x) (exp (neg x)))

simplify68.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	171	546
1	478	475
2	1854	464
3	5001	464

prune86.0ms

Filtered

69 candidates to 57 candidates (17.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	69	3	72

Merged error: 0b

Counts

72 → 3

regimes117.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	8
1	20	8

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	3387×	body	1280	valid
477.0ms	2507×	body	640	valid
242.0ms	8292×	body	80	valid
148.0ms	1242×	body	320	valid
45.0ms	597×	body	160	valid

Details

sample80.0ms

simplify137.0ms

prune3.0ms

localize6.0ms

rewrite5.0ms

series5.0ms

simplify31.0ms

prune40.0ms

localize11.0ms

rewrite20.0ms

series14.0ms

simplify48.0ms

prune123.0ms

localize12.0ms

rewrite17.0ms

series20.0ms

simplify42.0ms

prune119.0ms

localize10.0ms

rewrite20.0ms

series41.0ms

simplify68.0ms

prune86.0ms

regimes117.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling