Details

sample38.0ms

Algorithm

intervals

Results

16.0ms	78×	body	1280	valid
7.0ms	58×	body	640	valid
4.0ms	174×	body	80	valid
2.0ms	21×	body	320	valid
1.0ms	11×	body	160	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

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: 40.3b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- (exp x) 1.0) x)
3.1b	(- (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×	`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:

9.0ms	(/ (- (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)
2.0ms	(- (exp x) 1.0)

simplify75.0ms

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

prune75.0ms

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: 0.1b

Counts

59 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x 1/6) 1/2)
0.1b	(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b	(* x 1/6)
3.7b	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

3.0ms	(+ (* x 1/6) 1/2)
7.0ms	(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms	(* x 1/6)
10.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)

series20.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify65.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	384	620
1	2008	562
2	5002	562

prune140.0ms

Filtered

101 candidates to 70 candidates (30.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	1	101
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	100	3	103

Merged error: 0.1b

Counts

103 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

3.7b	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)
9.9b	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))
9.9b	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))
9.9b	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
36×	`times-frac`
33×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3` `associate-/r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+`

Counts

4 → 95

Calls

4 calls:

10.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)
6.0ms	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))
9.0ms	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))
7.0ms	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))

series40.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)
11.0ms	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))
11.0ms	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))
12.0ms	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))

simplify150.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	253	1426
1	939	1355
2	4473	1318
3	5001	1318

prune427.0ms

Filtered

107 candidates to 91 candidates (15.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	107	3	110

Merged error: 0.1b

Counts

110 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

3.7b	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)
3.7b	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)
9.9b	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))
9.9b	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
26×	`cbrt-prod`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l`
4×	`pow1` `div-inv` `associate-/l/` `add-log-exp`
2×	`cbrt-undiv` `cbrt-div` `frac-2neg` `flip3-+` `pow1/3` `div-exp` `clear-num` `flip-+`

Counts

4 → 102

Calls

4 calls:

10.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)
10.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)
6.0ms	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))
7.0ms	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))

series33.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)
5.0ms	(/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x)
11.0ms	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))
11.0ms	(cbrt (/ (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x) x))

simplify148.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	253	1398
1	939	1316
2	4473	1280
3	5001	1280

prune425.0ms

Filtered

114 candidates to 94 candidates (17.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	114	3	117

Merged error: 0.1b

Counts

117 → 3

regimes35.0ms

Accuracy

98.8% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 21.4b

bsearch14.0ms

Steps

Iters	Range		Point
9	-0.00034267683325015424	-2.708263725627834e-09	-0.0001378262469616206

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	15
1	26	15

end0.0ms

sample1.1s

Algorithm

intervals

Results

440.0ms	2229×	body	1280	valid
215.0ms	1682×	body	640	valid
129.0ms	5468×	body	80	valid
75.0ms	851×	body	320	valid
23.0ms	412×	body	160	valid

Details

sample38.0ms

simplify5.0ms

prune2.0ms

localize4.0ms

rewrite14.0ms

series7.0ms

simplify75.0ms

prune75.0ms

localize8.0ms

rewrite26.0ms

series20.0ms

simplify65.0ms

prune140.0ms

localize15.0ms

rewrite35.0ms

series40.0ms

simplify150.0ms

prune427.0ms

localize20.0ms

rewrite37.0ms

series33.0ms

simplify148.0ms

prune425.0ms

regimes35.0ms

bsearch14.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling