Details

sample42.0ms

Algorithm

intervals

Results

17.0ms	110×	body	1280	valid
7.0ms	76×	body	640	valid
4.0ms	376×	pre	80	true
3.0ms	40×	body	320	valid
2.0ms	127×	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: 58.5b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

6.4b	(- (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:

14.0ms

(- (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

prune35.0ms

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: 0.1b

Counts

18 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 49

Calls

2 calls:

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

series77.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
13.0ms	(* x 1/6)

simplify44.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	247	239
1	1168	216
2	5001	216

prune75.0ms

Filtered

55 candidates to 35 candidates (63.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

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

Merged error: 0.1b

Counts

58 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b	(* x 1/6)
2.6b	(log (exp (* (pow x 2) (+ (* x 1/6) 1/2))))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

8.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
6.0ms	(* x 1/6)
2.0ms	(log (exp (* (pow x 2) (+ (* x 1/6) 1/2))))

series137.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
16.0ms	(* x 1/6)
61.0ms	(log (exp (* (pow x 2) (+ (* x 1/6) 1/2))))

simplify48.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	278	355
1	1227	316
2	5002	316

prune122.0ms

Filtered

74 candidates to 47 candidates (63.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	74	4	78

Merged error: 0.1b

Counts

78 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))
6.4b	(- (exp x) 1.0)
6.4b	(- (exp x) 1.0)
6.4b	(- (exp x) 1.0)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
32×	`*-un-lft-identity`
28×	`cbrt-prod`
12×	`add-cube-cbrt` `cbrt-div`
11×	`pow1`
10×	`swap-sqr` `add-log-exp`
9×	`flip3--` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log` `pow1/3`
4×	`frac-times` `add-cbrt-cube` `unswap-sqr`
3×	`sub-neg` `diff-log`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 98

Calls

4 calls:

15.0ms	(* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)
4.0ms	(- (exp x) 1.0)

series147.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* (cbrt (- (exp x) 1.0)) (cbrt (- (exp x) 1.0)))
13.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)
14.0ms	(- (exp x) 1.0)

simplify96.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	212	784
1	661	745
2	2814	682
3	5002	665

prune184.0ms

Filtered

110 candidates to 70 candidates (63.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	109	5	114

Merged error: 0.1b

Counts

114 → 5

regimes85.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

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	3422×	body	1280	valid
247.0ms	2563×	body	640	valid
133.0ms	11834×	pre	80	true
73.0ms	1226×	body	320	valid
59.0ms	4007×	body	80	valid
23.0ms	616×	body	160	valid