Details

sample39.0ms

Algorithm

intervals

Results

15.0ms	100×	body	1280	valid
8.0ms	90×	body	640	valid
3.0ms	391×	pre	80	true
2.0ms	37×	body	320	valid
2.0ms	142×	body	80	valid
1.0ms	22×	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: 58.3b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.4b	(- (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)

simplify55.0ms

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

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	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))
0.4b	(* 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)

series108.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
67.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify58.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	310	356
1	1545	328
2	5001	327

prune130.0ms

Filtered

71 candidates to 47 candidates (66.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	69	5	74

Merged error: 0.0b

Counts

74 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
0.7b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.7b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.7b	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

18.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
7.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
10.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

series261.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
65.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
60.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
66.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	327	1561
1	1198	1468
2	5001	1375

prune264.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.1b	(pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3)
0.4b	(* x 1/6)
40.5b	(cbrt (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `cbrt-prod`
11×	`associate-l`
10×	`unpow-prod-down`
9×	`add-cbrt-cube`
7×	`pow1`
6×	`cube-prod` `associate-r`
5×	`unswap-sqr`
4×	`cube-div` `prod-exp` `add-log-exp` `sqr-pow`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`cube-mult` `pow-to-exp` `cbrt-div` `unpow3` `associate-r/` `pow-exp` `-commutative` `cbrt-unprod` `unpow2`
1×	`distribute-rgt-in` `pow-pow` `distribute-lft-in` `pow1/3` `pow-prod-down` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 97

Calls

4 calls:

8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
12.0ms	(pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3)
3.0ms	(* x 1/6)
9.0ms	(cbrt (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3))

series149.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
43.0ms	(pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3)
14.0ms	(* x 1/6)
28.0ms	(cbrt (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3))

simplify79.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	453	758
1	2201	707
2	5001	701

prune181.0ms

Filtered

109 candidates to 63 candidates (57.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	109	5	114

Merged error: 0.0b

Counts

114 → 5

regimes57.0ms

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

476.0ms	3422×	body	1280	valid
209.0ms	2510×	body	640	valid
95.0ms	12020×	pre	80	true
61.0ms	1229×	body	320	valid
48.0ms	4212×	body	80	valid
20.0ms	647×	body	160	valid