Details

sample77.0ms

Algorithm

intervals

Results

35.0ms	112×	body	1280	valid
13.0ms	73×	body	640	valid
11.0ms	280×	body	80	valid
5.0ms	37×	body	320	valid
2.0ms	23×	body	160	valid

simplify144.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 57.2b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

5.9b	(- (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:

5.0ms

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

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

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

simplify32.0ms

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

prune57.0ms

Filtered

17 candidates to 14 candidates (82.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	12	5	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	13	5	18

Merged error: 0.0b

Counts

18 → 5

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))

rewrite26.0ms

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:

8.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
11.0ms	(* 1/3 (pow x 3))

series150.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
53.0ms	(* 1/60 (pow x 5))
37.0ms	(* 1/3 (pow x 3))

simplify45.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (9.0ms)

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

prune143.0ms

Filtered

78 candidates to 49 candidates (62.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Merged error: 0.0b

Counts

83 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
0.0b	(* (exp x) (- (exp x) (pow (exp x) -3)))
0.1b	(pow (exp x) -3)
5.8b	(- (exp x) (pow (exp x) -3))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
11×	`add-cube-cbrt` `add-cbrt-cube`
9×	`add-exp-log`
7×	`pow1` `associate-r`
6×	`add-log-exp` `difference-of-squares`
5×	`unpow-prod-down`
4×	`pow-pow` `times-frac` `associate-r/` `associate-/r`
3×	`sub-neg` `pow-unpow` `exp-prod` `flip3--` `associate-l` `flip--` `sqr-pow`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--`
1×	`pow-to-exp` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `pow-exp` `clear-num` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 91

Calls

4 calls:

14.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
10.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
3.0ms	(pow (exp x) -3)
6.0ms	(- (exp x) (pow (exp x) -3))

series305.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
92.0ms	(* (exp x) (- (exp x) (pow (exp x) -3)))
28.0ms	(pow (exp x) -3)
50.0ms	(- (exp x) (pow (exp x) -3))

simplify65.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	420	889
1	2061	787
2	5001	784

prune220.0ms

Filtered

103 candidates to 73 candidates (70.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	103	5	108

Merged error: 0.0b

Counts

108 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (exp x) (- (exp x) (exp (* x -3)))) (+ (exp x) (exp (neg x))))
0.0b	(exp (* x -3))
0.0b	(* (exp x) (- (exp x) (exp (* x -3))))
5.8b	(- (exp x) (exp (* x -3)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity`
14×	`add-sqr-sqrt`
11×	`add-cbrt-cube`
9×	`add-exp-log`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
5×	`associate-r`
4×	`times-frac` `associate-r/` `associate-/r`
3×	`sub-neg` `flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
1×	`exp-prod` `exp-to-pow` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `-commutative` `flip-+` `div-inv` `rem-exp-log` `associate-/l` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

13.0ms	(/ (* (exp x) (- (exp x) (exp (* x -3)))) (+ (exp x) (exp (neg x))))
2.0ms	(exp (* x -3))
9.0ms	(* (exp x) (- (exp x) (exp (* x -3))))
5.0ms	(- (exp x) (exp (* x -3)))

series193.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(/ (* (exp x) (- (exp x) (exp (* x -3)))) (+ (exp x) (exp (neg x))))
6.0ms	(exp (* x -3))
56.0ms	(* (exp x) (- (exp x) (exp (* x -3))))
27.0ms	(- (exp x) (exp (* x -3)))

simplify49.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	359	809
1	1613	706
2	5001	697

prune175.0ms

Filtered

89 candidates to 61 candidates (68.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	89	5	94

Merged error: 0b

Counts

94 → 5

regimes50.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b 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

sample2.3s

Algorithm

intervals

Results

1.1s	3386×	body	1280	valid
492.0ms	2450×	body	640	valid
265.0ms	8157×	body	80	valid
160.0ms	1269×	body	320	valid
47.0ms	609×	body	160	valid

Details

sample77.0ms

simplify144.0ms

prune2.0ms

localize6.0ms

rewrite5.0ms

series36.0ms

simplify32.0ms

prune57.0ms

localize11.0ms

rewrite26.0ms

series150.0ms

simplify45.0ms

prune143.0ms

localize11.0ms

rewrite36.0ms

series305.0ms

simplify65.0ms

prune220.0ms

localize12.0ms

rewrite30.0ms

series193.0ms

simplify49.0ms

prune175.0ms

regimes50.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling