Details

sample39.0ms

Algorithm

intervals

Results

12.0ms	74×	body	1280	valid
9.0ms	88×	body	10240	exit
6.0ms	60×	body	640	valid
2.0ms	28×	body	320	valid
2.0ms	80×	body	80	valid
1.0ms	14×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	4
1	8	4
2	8	4

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: 43.8b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ (exp x) (- (exp x) 1.0))
3.8b	(- (exp x) 1.0)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
12×	`add-cube-cbrt`
5×	`add-exp-log` `associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3--` `div-exp` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `clear-num` `div-inv`

Counts

2 → 52

Calls

2 calls:

8.0ms	(/ (exp x) (- (exp x) 1.0))
4.0ms	(- (exp x) 1.0)

series41.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(/ (exp x) (- (exp x) 1.0))
14.0ms	(- (exp x) 1.0)

simplify74.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	181	381
1	562	361
2	2181	359
3	5001	359

prune133.0ms

Filtered

58 candidates to 41 candidates (70.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	53	5	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	5	59

Merged error: 0.0b

Counts

59 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/6 (pow x 3)) x)
0.0b	(* 1/2 (pow x 2))
0.1b	(* 1/6 (pow x 3))
8.5b	(+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
24×	`add-sqr-sqrt` `associate-r`
14×	`add-exp-log`
12×	`associate-l` `distribute-lft-out`
11×	`add-cube-cbrt` `add-log-exp`
8×	`pow1` `unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
6×	`prod-exp`
4×	`unpow3` `cube-prod` `sum-log` `sqr-pow`
3×	`+-commutative` `unpow2`
2×	`pow-to-exp` `associate-+r+` `distribute-rgt-out` `distribute-lft1-in` `flip3-+` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`
1×	`cube-mult`

Counts

4 → 96

Calls

4 calls:

14.0ms	(+ (* 1/6 (pow x 3)) x)
7.0ms	(* 1/2 (pow x 2))
8.0ms	(* 1/6 (pow x 3))
32.0ms	(+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))

series174.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(+ (* 1/6 (pow x 3)) x)
25.0ms	(* 1/2 (pow x 2))
42.0ms	(* 1/6 (pow x 3))
28.0ms	(+ (* 1/2 (pow x 2)) (+ (* 1/6 (pow x 3)) x))

simplify61.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	346	482
1	1563	443
2	5001	432

prune235.0ms

Filtered

108 candidates to 63 candidates (58.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Merged error: 0.0b

Counts

113 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 1/2 (pow x 2)) (exp (log (+ (* 1/6 (pow x 3)) x))))
0.0b	(* 1/2 (pow x 2))
0.1b	(* 1/6 (pow x 3))
2.2b	(exp (log (+ (* 1/6 (pow x 3)) x)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
22×	`-un-lft-identity` `associate-r*`
14×	`add-exp-log`
13×	`add-cube-cbrt`
9×	`pow1`
8×	`unpow-prod-down` `associate-l` `add-cbrt-cube` `unswap-sqr`
7×	`log-prod` `exp-sum` `add-log-exp`
6×	`prod-exp`
4×	`exp-prod` `cube-prod` `distribute-lft-out` `sqr-pow`
3×	`unpow3`
2×	`pow-to-exp` `log-div` `flip3-+` `exp-diff` `pow-prod-down` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+` `rem-exp-log` `unpow2`
1×	`+-commutative` `cube-mult` `distribute-rgt-out` `distribute-lft1-in` `sum-log` `log-pow`

Counts

4 → 95

Calls

4 calls:

29.0ms	(+ (* 1/2 (pow x 2)) (exp (log (+ (* 1/6 (pow x 3)) x))))
7.0ms	(* 1/2 (pow x 2))
8.0ms	(* 1/6 (pow x 3))
15.0ms	(exp (log (+ (* 1/6 (pow x 3)) x)))

series172.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (* 1/2 (pow x 2)) (exp (log (+ (* 1/6 (pow x 3)) x))))
25.0ms	(* 1/2 (pow x 2))
42.0ms	(* 1/6 (pow x 3))
78.0ms	(exp (log (+ (* 1/6 (pow x 3)) x)))

simplify61.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	351	508
1	1437	453
2	5001	439

prune255.0ms

Filtered

107 candidates to 65 candidates (60.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	107	5	112

Merged error: 0.0b

Counts

112 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (exp x))
0.0b	(/ 1 (- 1 (/ 1.0 (exp x))))
3.7b	(- 1 (/ 1.0 (exp x)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
43×	`times-frac`
24×	`add-cube-cbrt`
20×	`difference-of-squares`
11×	`associate-/r*`
10×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/l*`
5×	`distribute-lft-out--` `add-log-exp`
4×	`pow1` `div-exp`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `clear-num` `associate-/r/` `flip--` `div-inv`
1×	`sub-neg` `rec-exp` `pow-flip` `diff-log` `1-exp` `inv-pow`

Counts

3 → 98

Calls

3 calls:

4.0ms	(/ 1.0 (exp x))
9.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms	(- 1 (/ 1.0 (exp x)))

series103.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(/ 1.0 (exp x))
54.0ms	(/ 1 (- 1 (/ 1.0 (exp x))))
36.0ms	(- 1 (/ 1.0 (exp x)))

simplify39.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	312	725
1	1337	624
2	5002	623

prune153.0ms

Filtered

107 candidates to 61 candidates (57.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

regimes79.0ms

Accuracy

92.1% (0.9b remaining)

Error of 1.0b against oracle of 0.1b and baseline of 11.4b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	15
1	25	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

392.0ms	2299×	body	1280	valid
269.0ms	2480×	body	10240	exit
175.0ms	1628×	body	640	valid
57.0ms	843×	body	320	valid
51.0ms	2772×	body	80	valid
20.0ms	462×	body	160	valid