Details

sample37.0ms

Algorithm

intervals

Results

14.0ms	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 (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 (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)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt` `*-un-lft-identity`
13×	`associate-l`
10×	`add-exp-log`
8×	`add-cube-cbrt` `associate-r`
7×	`pow1` `add-cbrt-cube`
5×	`+-commutative` `add-log-exp` `unswap-sqr`
4×	`distribute-rgt-in` `unpow-prod-down` `associate-+l+` `distribute-lft-in` `prod-exp` `distribute-lft-out`
2×	`flip3-+` `associate-r/` `pow-prod-down` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`pow-to-exp` `pow-exp` `sum-log`

Counts

3 → 71

Calls

3 calls:

24.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
14.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series111.0ms

Counts

3 → 9

Calls

3 calls:

27.0ms	(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
69.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms	(* x 1/6)

simplify54.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	314	386
1	1549	358
2	5001	357

prune149.0ms

Filtered

80 candidates to 50 candidates (62.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	78	5	83

Merged error: 0.0b

Counts

83 → 5

localize12.0ms

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))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
51×	`cbrt-prod`
23×	`add-sqr-sqrt`
22×	`distribute-lft-out`
19×	`associate-l`
18×	`cbrt-div`
15×	`add-cube-cbrt`
14×	`swap-sqr`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`associate-r` `add-cbrt-cube`
6×	`add-exp-log`
4×	`frac-times` `cbrt-unprod` `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`

Counts

4 → 108

Calls

4 calls:

45.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
20.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
24.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
20.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

series261.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)) (cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
67.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
66.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
64.0ms	(cbrt (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))

simplify64.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	342	1866
1	1282	1746
2	5001	1524

prune288.0ms

Filtered

120 candidates to 75 candidates (62.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	120	5	125

Merged error: 0.0b

Counts

125 → 5

localize10.0ms

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))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

14.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
26.0ms	(pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3)
4.0ms	(* x 1/6)
21.0ms	(cbrt (pow (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) 3))

series157.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
44.0ms	(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))

simplify82.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	453	816
1	2201	765
2	5001	759

prune205.0ms

Filtered

123 candidates to 65 candidates (52.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	123	5	128

Merged error: 0.0b

Counts

128 → 5

regimes60.0ms

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

491.0ms	3422×	body	1280	valid
212.0ms	2510×	body	640	valid
99.0ms	12020×	pre	80	true
66.0ms	1229×	body	320	valid
49.0ms	4212×	body	80	valid
21.0ms	647×	body	160	valid