Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	85×	body	1280	valid
6.0ms	49×	body	640	valid
4.0ms	174×	body	80	valid
2.0ms	26×	body	320	valid
1.0ms	15×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	13	3
2	15	3
3	15	3

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 42.0b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.8b	(- (exp x) 1.0)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 52

Calls

2 calls:

6.0ms	(/ (- (exp x) 1.0) x)
4.0ms	(- (exp x) 1.0)

series7.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (- (exp x) 1.0) x)
3.0ms	(- (exp x) 1.0)

simplify77.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	222	329
1	625	311
2	2717	309
3	5001	309

prune76.0ms

Filtered

58 candidates to 43 candidates (25.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	57	2	59

Merged error: 0.0b

Counts

59 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
0.2b	(* 1/6 (pow x 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `unswap-sqr`
3×	`associate-l` `prod-exp` `sum-log`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

7.0ms	(+ (* 1/6 (pow x 2)) (+ (* 1/2 x) 1))
5.0ms	(* 1/6 (pow x 2))

series6.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify35.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	201	231
1	852	202
2	5001	199

prune57.0ms

Filtered

46 candidates to 29 candidates (37.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	0	46
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Merged error: 0.0b

Counts

48 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp x))
0.0b	(sqrt (exp x))
0.0b	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
3.8b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`*-un-lft-identity`
20×	`sqrt-prod`
10×	`add-cube-cbrt`
9×	`associate-r`
8×	`pow1` `sqrt-pow1` `difference-of-squares`
6×	`add-exp-log` `exp-prod` `add-cbrt-cube` `add-log-exp`
5×	`associate-l`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out--`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `rem-sqrt-square` `distribute-lft-in` `pow1/2` `associate-r/` `associate-l/` `distribute-lft-out`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 88

Calls

4 calls:

2.0ms	(sqrt (exp x))
2.0ms	(sqrt (exp x))
15.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
7.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt (exp x))
3.0ms	(sqrt (exp x))
10.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (- (sqrt (exp x)) (sqrt 1.0)))
7.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify39.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	250	730
1	1091	643
2	5001	617

prune132.0ms

Filtered

100 candidates to 68 candidates (32.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	99	3	102

Merged error: 0.0b

Counts

102 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (sqrt (exp x)) (sqrt 1.0)) 3)
0.0b	(* (+ (sqrt (exp x)) (sqrt 1.0)) (cbrt (pow (- (sqrt (exp x)) (sqrt 1.0)) 3)))
0.0b	(cbrt (pow (- (sqrt (exp x)) (sqrt 1.0)) 3))
3.8b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

80×	`add-sqr-sqrt`
52×	`cbrt-prod`
47×	`*-un-lft-identity`
44×	`sqrt-prod`
28×	`unpow-prod-down` `cube-prod` `difference-of-squares`
27×	`associate-r`
15×	`add-cube-cbrt`
14×	`distribute-lft-out--`
10×	`cube-div`
8×	`cbrt-div`
7×	`pow1` `add-exp-log`
6×	`flip3--` `add-cbrt-cube` `flip--` `add-log-exp`
5×	`associate-l` `unswap-sqr`
4×	`frac-times` `sqr-pow`
3×	`cube-mult` `pow-unpow` `flip3-+` `unpow3` `flip-+`
2×	`associate-r/` `associate-l/` `distribute-lft-out`
1×	`pow-to-exp` `sub-neg` `pow-pow` `pow1/3` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt`

Counts

4 → 146

Calls

4 calls:

8.0ms	(pow (- (sqrt (exp x)) (sqrt 1.0)) 3)
23.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (cbrt (pow (- (sqrt (exp x)) (sqrt 1.0)) 3)))
8.0ms	(cbrt (pow (- (sqrt (exp x)) (sqrt 1.0)) 3))
7.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series30.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(pow (- (sqrt (exp x)) (sqrt 1.0)) 3)
10.0ms	(* (+ (sqrt (exp x)) (sqrt 1.0)) (cbrt (pow (- (sqrt (exp x)) (sqrt 1.0)) 3)))
5.0ms	(cbrt (pow (- (sqrt (exp x)) (sqrt 1.0)) 3))
5.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify72.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	412	1505
1	1981	1412
2	5003	1383

prune179.0ms

Filtered

158 candidates to 78 candidates (50.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	158	3	161

Merged error: 0.0b

Counts

161 → 3

regimes35.0ms

Accuracy

98.9% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.3b

bsearch14.0ms

Steps

Iters	Range		Point
9	-0.004678412967620047	-4.610592636916848e-08	-0.00020673243785295715

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	17
1	32	17

end0.0ms

sample1.0s

Algorithm

intervals

Results

431.0ms	2265×	body	1280	valid
205.0ms	1687×	body	640	valid
120.0ms	5419×	body	80	valid
64.0ms	806×	body	320	valid
21.0ms	417×	body	160	valid

Details

sample38.0ms

simplify6.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series7.0ms

simplify77.0ms

prune76.0ms

localize7.0ms

rewrite14.0ms

series6.0ms

simplify35.0ms

prune57.0ms

localize9.0ms

rewrite29.0ms

series22.0ms

simplify39.0ms

prune132.0ms

localize11.0ms

rewrite52.0ms

series30.0ms

simplify72.0ms

prune179.0ms

regimes35.0ms

bsearch14.0ms

simplify1.0ms

end0.0ms

sample1.0s

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