Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	109×	body	1280	valid
7.0ms	80×	body	640	valid
4.0ms	398×	pre	80	true
2.0ms	41×	body	320	valid
2.0ms	145×	body	80	valid
1.0ms	23×	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: 59.6b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.3b	(- (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)

simplify55.0ms

Algorithm

egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 2 (7.0ms)

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

prune42.0ms

Filtered

17 candidates to 12 candidates (70.6%)

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

localize7.0ms

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

series115.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
68.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify49.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (43.0ms)

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

prune122.0ms

Filtered

71 candidates to 47 candidates (66.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	3	74

Merged error: 0.0b

Counts

74 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b	(pow (exp x) 3)
6.1b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
88×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
41×	`sqr-pow`
38×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `difference-cubes`
4×	`pow-pow`
3×	`pow-unpow` `exp-prod` `associate-/r*`
2×	`associate-+l+` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `distribute-lft-in` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `rem-cube-cbrt`

Counts

4 → 193

Calls

4 calls:

9.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
24.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
3.0ms	(pow (exp x) 3)
11.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series192.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
93.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
23.0ms	(pow (exp x) 3)
42.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify104.0ms

Algorithm

egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	596	3033
1	2606	2958
2	5002	2879

prune350.0ms

Filtered

205 candidates to 110 candidates (53.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	203	2	205
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	205	3	208

Merged error: 0.0b

Counts

208 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
0.0b	(* (exp x) (exp (+ x x)))
0.0b	(/ (- (* (exp x) (exp (+ x x))) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
6.4b	(- (* (exp x) (exp (+ x x))) (pow 1.0 3))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

27×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
18×	`add-cube-cbrt`
17×	`exp-prod`
12×	`times-frac`
8×	`exp-sum` `add-cbrt-cube` `add-log-exp`
7×	`pow1`
6×	`add-exp-log` `cube-unmult` `pow-prod-up`
5×	`difference-cubes`
4×	`associate-r` `pow-prod-down` `associate-/l*`
3×	`associate-l` `associate-/r*` `distribute-lft-out`
2×	`associate-+l+` `distribute-rgt-out` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `distribute-lft1-in` `count-2` `diff-log` `div-sub` `div-exp` `distribute-rgt1-in` `prod-exp` `clear-num` `sum-log` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 92

Calls

4 calls:

9.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
11.0ms	(* (exp x) (exp (+ x x)))
26.0ms	(/ (- (* (exp x) (exp (+ x x))) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
12.0ms	(- (* (exp x) (exp (+ x x))) (pow 1.0 3))

series181.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
25.0ms	(* (exp x) (exp (+ x x)))
91.0ms	(/ (- (* (exp x) (exp (+ x x))) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
34.0ms	(- (* (exp x) (exp (+ x x))) (pow 1.0 3))

simplify58.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	436	1204
1	1901	1074
2	5001	1046

prune248.0ms

Filtered

104 candidates to 82 candidates (78.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	104	3	107

Merged error: 0.0b

Counts

107 → 3

regimes15.0ms

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

sample1.1s

Algorithm

intervals

Results

496.0ms	3418×	body	1280	valid
216.0ms	2426×	body	640	valid
103.0ms	12000×	pre	80	true
69.0ms	1288×	body	320	valid
51.0ms	4188×	body	80	valid
23.0ms	680×	body	160	valid