Details

sample36.0ms

Algorithm

intervals

Results

13.0ms	67×	body	1280	valid
6.0ms	52×	body	640	valid
4.0ms	167×	body	80	valid
2.0ms	31×	body	320	valid
1.0ms	17×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

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: 40.5b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
6.2b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r*`
2×	`pow1` `flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

6.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series75.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(/ (- (exp x) 1.0) x)
23.0ms	(- (exp x) 1.0)

simplify287.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	222	329
1	625	311
2	2717	309
3	5001	309

prune143.0ms

Filtered

58 candidates to 43 candidates (25.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	54	4	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	4	59

Merged error: 0.0b

Counts

59 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)
2.8b	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
17×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log`
11×	`associate-l`
10×	`add-cbrt-cube`
9×	`times-frac`
6×	`pow1` `associate-r` `add-log-exp`
5×	`unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `associate-r/` `-commutative` `cbrt-unprod` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `frac-2neg` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `sum-log` `div-inv`

Counts

4 → 91

Calls

4 calls:

8.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)
11.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

series185.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
78.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
15.0ms	(* x 1/6)
57.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	390	695
1	2055	630
2	5002	630

prune443.0ms

Filtered

103 candidates to 72 candidates (30.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	102	5	107

Merged error: 0.0b

Counts

107 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (exp x) 3)
0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
0.0b	(* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x)
6.2b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
48×	`difference-of-squares`
42×	`*-un-lft-identity`
39×	`unpow-prod-down` `cube-prod`
25×	`times-frac` `associate-/l*` `sqr-pow`
15×	`distribute-lft-out--`
12×	`add-cube-cbrt` `add-cbrt-cube`
11×	`add-exp-log`
7×	`pow1`
6×	`add-log-exp`
4×	`pow-pow` `associate-*l/`
3×	`difference-cubes` `pow-unpow` `exp-prod` `associate-r` `associate-l`
2×	`cbrt-undiv` `flip3--` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `unpow3` `div-sub` `pow-prod-down` `pow-exp` `clear-num` `associate-/r` `-commutative` `div-inv` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 150

Calls

4 calls:

3.0ms	(pow (exp x) 3)
29.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
12.0ms	(* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x)
12.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series334.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(pow (exp x) 3)
168.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x))
90.0ms	(* (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))) x)
46.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify95.0ms

Algorithm

egg-herbie

Counts

162 → 162

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	534	1740
1	2651	1610
2	5001	1566

prune599.0ms

Filtered

162 candidates to 94 candidates (42.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	162	5	167

Merged error: 0.0b

Counts

167 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) x)
6.3b	(- (/ (exp x) x) (/ 1.0 x))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`times-frac`
12×	`add-cube-cbrt`
4×	`add-cbrt-cube` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`add-exp-log` `associate-/r` `div-inv` `associate-/l`
2×	`pow1`
1×	`cbrt-undiv` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `sub-div`

Counts

2 → 50

Calls

2 calls:

4.0ms	(/ (exp x) x)
14.0ms	(- (/ (exp x) x) (/ 1.0 x))

series96.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (exp x) x)
61.0ms	(- (/ (exp x) x) (/ 1.0 x))

simplify64.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	215	317
1	591	300
2	2297	299
3	5001	297

prune138.0ms

Filtered

56 candidates to 46 candidates (17.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	2	2
Picked	1	0	1
Done	0	2	2
Total	56	5	61

Merged error: 0.0b

Counts

61 → 5

regimes46.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 21.2b

bsearch41.0ms

Steps

Iters	Range		Point
8	-0.0011811564698516964	-5.5019757015367035e-08	-9.708336972407975e-05

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	11
1	23	11

end0.0ms

sample1.0s

Algorithm

intervals

Results

442.0ms	2295×	body	1280	valid
201.0ms	1630×	body	640	valid
117.0ms	5475×	body	80	valid
69.0ms	861×	body	320	valid
21.0ms	408×	body	160	valid

Details

sample36.0ms

simplify5.0ms

prune3.0ms

localize4.0ms

rewrite12.0ms

series75.0ms

simplify287.0ms

prune143.0ms

localize9.0ms

rewrite32.0ms

series185.0ms

simplify61.0ms

prune443.0ms

localize15.0ms

rewrite63.0ms

series334.0ms

simplify95.0ms

prune599.0ms

localize6.0ms

rewrite20.0ms

series96.0ms

simplify64.0ms

prune138.0ms

regimes46.0ms

bsearch41.0ms

simplify1.0ms

end0.0ms

sample1.0s

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