Details

sample36.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 47.04159%

Results

14.0ms	76×	body	1280	valid
6.0ms	51×	body	640	valid
3.0ms	35×	body	320	valid
2.0ms	82×	body	80	valid
1.0ms	64×	body	80	overflowed
1.0ms	12×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

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: 43.4b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (exp x) (- (exp x) 1.0))
4.4b	(- (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-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`add-cbrt-cube` `add-log-exp`
3×	`add-exp-log` `associate-/l*`
2×	`pow1` `flip3--` `associate-/r/` `flip--`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-exp` `clear-num` `div-inv`

Counts

2 → 51

Calls

2 calls:

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

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (exp x) (- (exp x) 1.0))
2.0ms	(- (exp x) 1.0)

simplify69.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	180	378
1	542	357
2	2174	354
3	5003	354

prune88.0ms

Filtered

41 candidates to 57 candidates (-39.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	53	4	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `associate-l`
9×	`times-frac` `add-cbrt-cube`
6×	`associate-r`
5×	`pow1` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
3×	`associate-/r` `associate-/l` `add-log-exp`
2×	`flip3-+` `associate-r/` `associate-/r/` `-commutative` `cbrt-unprod` `flip-+` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `distribute-rgt-in` `pow-to-exp` `frac-2neg` `distribute-lft-in` `div-exp` `pow-prod-down` `pow-exp` `clear-num` `div-inv`

Counts

3 → 78

Calls

3 calls:

9.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms	(* x 1/6)

series13.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
6.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
2.0ms	(* x 1/6)

simplify57.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	401	619
1	1835	573
2	5002	571

prune122.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/12 x) (/ 1 x))
0.3b	(* 1/12 x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 29

Calls

2 calls:

5.0ms	(+ (* 1/12 x) (/ 1 x))
3.0ms	(* 1/12 x)

series6.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (* 1/12 x) (/ 1 x))
2.0ms	(* 1/12 x)

simplify67.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	130	119
1	448	109
2	2305	108
3	5001	108

prune41.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	35	4	39

Merged error: 0.0b

Counts

39 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0)))
0.0b	(* (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (exp x) 1.0))
0.0b	(* (exp x) (exp x))
4.3b	(- (* (exp x) (exp x)) (* 1.0 1.0))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
34×	`*-un-lft-identity`
32×	`add-cube-cbrt`
25×	`times-frac`
21×	`associate-l`
18×	`exp-prod`
13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`difference-of-squares`
7×	`associate-r`
6×	`add-log-exp`
5×	`pow-prod-down`
4×	`associate-/r*` `associate-/r/` `pow-sqr` `pow-prod-up`
3×	`flip3--` `swap-sqr` `prod-exp` `flip--` `cbrt-unprod` `associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `flip3-+` `associate-r/` `div-exp` `-commutative` `flip-+` `div-inv`
1×	`pow2` `distribute-rgt-in` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-plus` `diff-log` `associate-*l/` `clear-num` `distribute-lft-out`

Counts

4 → 124

Calls

4 calls:

9.0ms	(/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0)))
15.0ms	(* (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (exp x) 1.0))
6.0ms	(* (exp x) (exp x))
6.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

series33.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0)))
14.0ms	(* (/ (exp x) (- (* (exp x) (exp x)) (* 1.0 1.0))) (+ (exp x) 1.0))
3.0ms	(* (exp x) (exp x))
4.0ms	(- (* (exp x) (exp x)) (* 1.0 1.0))

simplify87.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	582	1234
1	2849	1102
2	5002	1093

prune154.0ms

Filtered

101 candidates to 136 candidates (-34.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	0	1
Picked	0	1	1
Done	1	1	2
Total	137	3	140

Merged error: 0b

Counts

140 → 3

regimes79.0ms

Accuracy

98% (0.4b remaining)

Error of 0.8b against oracle of 0.3b and baseline of 20.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

sample989.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 47.04159%

Results

397.0ms	2266×	body	1280	valid
185.0ms	1631×	body	640	valid
67.0ms	2820×	body	80	valid
66.0ms	858×	body	320	valid
54.0ms	2607×	body	80	overflowed
22.0ms	426×	body	160	valid

Details

sample36.0ms

simplify4.0ms

prune2.0ms

localize4.0ms

rewrite12.0ms

series9.0ms

simplify69.0ms

prune88.0ms

localize9.0ms

rewrite23.0ms

series13.0ms

simplify57.0ms

prune122.0ms

localize5.0ms

rewrite9.0ms

series6.0ms

simplify67.0ms

prune41.0ms

localize8.0ms

rewrite40.0ms

series33.0ms

simplify87.0ms

prune154.0ms

regimes79.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample989.0ms

Profiling