Details

sample39.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.777222%

Guaranteed chance to sample good point: 99.987829%

Results

14.0ms	73×	body	1280	valid
7.0ms	54×	body	640	valid
3.0ms	22×	body	160	valid
2.0ms	24×	body	320	valid
2.0ms	83×	body	80	valid

simplify5.0ms

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

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: 41.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
5.6b	(- (exp x) 1.0)

rewrite11.0ms

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:

4.0ms	(/ (- (exp x) 1.0) x)
3.0ms	(- (exp x) 1.0)

simplify75.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (17.0ms)

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

prune72.0ms

Filtered

43 candidates to 58 candidates (-34.9%)

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

localize8.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)
3.3b	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log`
11×	`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/` `-commutative` `cbrt-unprod` `flip-+` `associate-/l/` `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:

7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)
12.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

series13.0ms

Counts

3 → 9

Calls

3 calls:

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

simplify64.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	363	567
1	1885	515
2	5002	515

prune111.0ms

Filtered

60 candidates to 87 candidates (-45.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	87	2	89

Merged error: 0.0b

Counts

89 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b	(pow (exp x) 3)
5.4b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

158×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
80×	`difference-of-squares`
75×	`times-frac`
63×	`unpow-prod-down` `cube-prod`
41×	`sqr-pow`
38×	`add-cube-cbrt`
25×	`associate-/l*` `distribute-lft-out--`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`add-exp-log`
5×	`pow1` `difference-cubes`
4×	`pow-pow`
3×	`pow-unpow` `exp-prod` `associate-/r*`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `pow-to-exp` `sub-neg` `frac-2neg` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out` `rem-cube-cbrt`

Counts

4 → 192

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
25.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
3.0ms	(pow (exp x) 3)
11.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series29.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(+ 1.0 (exp x))
18.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
4.0ms	(pow (exp x) 3)
5.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify105.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	605	2945
1	2678	2881
2	5001	2803

prune276.0ms

Filtered

108 candidates to 204 candidates (-88.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	203	3	206

Merged error: 0.0b

Counts

206 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b	(pow (exp x) 3)
0.2b	(exp (log (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))))
5.4b	(- (pow (exp x) 3) (pow 1.0 3))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

260×	`add-sqr-sqrt`
150×	`times-frac`
148×	`*-un-lft-identity`
128×	`difference-of-squares`
99×	`unpow-prod-down` `cube-prod`
81×	`log-prod` `exp-sum`
68×	`add-cube-cbrt`
65×	`sqr-pow`
40×	`distribute-lft-out--`
25×	`associate-/l*`
8×	`difference-cubes`
7×	`exp-prod` `add-cbrt-cube`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`pow-pow` `associate-/r/`
3×	`pow-unpow` `associate-/r*`
2×	`flip3--` `flip3-+` `flip--` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `cube-mult` `pow-to-exp` `sub-neg` `log-div` `frac-2neg` `exp-diff` `diff-log` `unpow3` `div-sub` `div-exp` `pow-exp` `clear-num` `log-pow` `rem-exp-log` `rem-cube-cbrt`

Counts

4 → 274

Calls

4 calls:

23.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
4.0ms	(pow (exp x) 3)
26.0ms	(exp (log (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))))
13.0ms	(- (pow (exp x) 3) (pow 1.0 3))

series46.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
4.0ms	(pow (exp x) 3)
18.0ms	(exp (log (/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))))
6.0ms	(- (pow (exp x) 3) (pow 1.0 3))

simplify132.0ms

Algorithm

egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	886	5101
1	3287	5018
2	5001	4862

prune457.0ms

Filtered

141 candidates to 286 candidates (-102.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	285	1	286
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	286	3	289

Merged error: 0.0b

Counts

289 → 3

regimes38.0ms

Accuracy

98.5% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 21.1b

bsearch20.0ms

Steps

Iters	Range		Point
10	-21869.37453130546	-1.302763117677963e-06	-0.0001768064908054355

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	18
1	33	18

end0.0ms

sample964.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 24.777222%

Guaranteed chance to sample good point: 99.987829%

Results

429.0ms	2227×	body	1280	valid
215.0ms	1709×	body	640	valid
69.0ms	2806×	body	80	valid
67.0ms	819×	body	320	valid
27.0ms	439×	body	160	valid
0.0ms	1×	body	80	invalid

Details

sample39.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite11.0ms

series7.0ms

simplify75.0ms

prune72.0ms

localize8.0ms

rewrite24.0ms

series13.0ms

simplify64.0ms

prune111.0ms

localize13.0ms

rewrite52.0ms

series29.0ms

simplify105.0ms

prune276.0ms

localize15.0ms

rewrite85.0ms

series46.0ms

simplify132.0ms

prune457.0ms

regimes38.0ms

bsearch20.0ms

simplify2.0ms

end0.0ms

sample964.0ms

Profiling