Details

sample40.0ms

Algorithm

intervals

Results

14.0ms	91×	body	1280	valid
10.0ms	101×	body	640	valid
4.0ms	380×	pre	80	true
2.0ms	134×	body	80	valid
1.0ms	26×	body	320	valid
1.0ms	28×	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

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: 58.2b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

7.4b	(- (exp x) 1.0)

rewrite4.0ms

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) 1.0)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(- (exp x) 1.0)

simplify57.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	81	72
1	185	67
2	499	66
3	1399	66
4	5002	66

prune41.0ms

Filtered

17 candidates to 12 candidates (70.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	15	2	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	2	18

Merged error: 0.0b

Counts

18 → 2

localize8.0ms

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)

rewrite21.0ms

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:

8.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series112.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
71.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify56.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	310	366
1	1605	330
2	5001	328

prune103.0ms

Filtered

71 candidates to 47 candidates (66.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	70	3	73

Merged error: 0.0b

Counts

73 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x 1/6)
0.3b	(* x 1/6)
0.3b	(* x 1/6)
27.0b	(/ (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
9×	`times-frac` `associate-r` `associate-l`
4×	`add-log-exp`
3×	`pow-prod-down` `prod-exp` `associate-/r` `-commutative` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 86

Calls

4 calls:

4.0ms	(* x 1/6)
3.0ms	(* x 1/6)
3.0ms	(* x 1/6)
24.0ms	(/ (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))

series133.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(* x 1/6)
14.0ms	(* x 1/6)
21.0ms	(* x 1/6)
84.0ms	(/ (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x))

simplify52.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	288	914
1	1506	822
2	5003	812

prune225.0ms

Filtered

98 candidates to 67 candidates (68.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	97	4	101

Merged error: 0.0b

Counts

101 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

10.5b	(* (* (cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2))) (cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))) (/ (cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2))) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
27.8b	(cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))
27.8b	(cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))
27.8b	(cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-div`
25×	`add-sqr-sqrt`
24×	`associate-r`
20×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
19×	`cbrt-prod`
16×	`add-exp-log` `frac-times` `flip3--` `flip--`
12×	`associate-*l/`
10×	`add-cbrt-cube`
9×	`pow1`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-*r/`
4×	`add-log-exp`
3×	`pow1/3` `pow-prod-down` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 102

Calls

4 calls:

56.0ms	(* (* (cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2))) (cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))) (/ (cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2))) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
14.0ms	(cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))
18.0ms	(cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))
14.0ms	(cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* (* (cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2))) (cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))) (/ (cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2))) (- (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
98.0ms	(cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))
91.0ms	(cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))
91.0ms	(cbrt (- (* (* (+ (* x 1/6) 1/2) (+ (* x 1/6) 1/2)) (pow x 4)) (pow x 2)))

simplify104.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	600	4088
1	2645	3657
2	5001	3491

prune622.0ms

Filtered

114 candidates to 92 candidates (80.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	114	4	118

Merged error: 0.0b

Counts

118 → 4

regimes40.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b 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

sample1.2s

Algorithm

intervals

Results

527.0ms	3446×	body	1280	valid
227.0ms	2488×	body	640	valid
114.0ms	12005×	pre	80	true
71.0ms	1249×	body	320	valid
56.0ms	4189×	body	80	valid
23.0ms	633×	body	160	valid

Details

sample40.0ms

simplify5.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series15.0ms

simplify57.0ms

prune41.0ms

localize8.0ms

rewrite21.0ms

series112.0ms

simplify56.0ms

prune103.0ms

localize13.0ms

rewrite36.0ms

series133.0ms

simplify52.0ms

prune225.0ms

localize19.0ms

rewrite106.0ms

series359.0ms

simplify104.0ms

prune622.0ms

regimes40.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

Profiling