Details

sample254.0ms

Algorithm

intervals

Results

73.0ms	147×	body	1280	valid
60.0ms	97×	body	1280	nan
32.0ms	48×	body	10240	exit
26.0ms	62×	body	640	nan
17.0ms	50×	body	640	valid
8.0ms	186×	body	80	nan
6.0ms	24×	body	320	nan
5.0ms	23×	body	320	valid
4.0ms	83×	body	80	valid
2.0ms	13×	body	160	nan
2.0ms	13×	body	160	valid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	6
1	34	6
2	80	6
3	236	6
4	868	6
5	5001	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(pow (+ x 1.0) (/ 1.0 n))
1.1b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`*-un-lft-identity`
14×	`unpow-prod-down`
13×	`pow-unpow`
10×	`add-cube-cbrt`
9×	`times-frac` `difference-of-squares`
7×	`sqr-pow`
4×	`add-log-exp`
3×	`pow1` `add-exp-log` `distribute-lft-out--`
2×	`add-cbrt-cube` `distribute-lft-out`
1×	`pow-to-exp` `sub-neg` `flip3--` `pow-pow` `diff-log` `pow-exp` `flip--` `div-inv`

Counts

2 → 52

Calls

2 calls:

5.0ms	(pow (+ x 1.0) (/ 1.0 n))
9.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series410.0ms

Counts

2 → 6

Calls

2 calls:

144.0ms	(pow (+ x 1.0) (/ 1.0 n))
265.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify36.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	359	490
1	1141	475
2	5002	466

prune160.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 20.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)
0.0b	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
0.0b	(pow (+ x 1.0) (/ 1.0 n))
1.1b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

84×	`unpow-prod-down`
78×	`add-sqr-sqrt`
55×	`*-un-lft-identity`
45×	`difference-of-squares`
36×	`cbrt-prod`
33×	`sqr-pow`
30×	`cube-prod`
18×	`add-cube-cbrt`
16×	`pow-unpow`
15×	`distribute-lft-out--`
9×	`times-frac`
6×	`pow1` `add-exp-log` `distribute-lft-out` `add-log-exp`
5×	`add-cbrt-cube`
4×	`cube-div`
3×	`flip3--` `flip--`
2×	`cube-mult` `pow-to-exp` `cbrt-div` `pow-pow` `unpow3` `pow-exp`
1×	`sub-neg` `pow1/3` `diff-log` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 148

Calls

4 calls:

11.0ms	(pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)
12.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
6.0ms	(pow (+ x 1.0) (/ 1.0 n))
12.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series1.1s

Counts

4 → 12

Calls

4 calls:

445.0ms	(pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)
270.0ms	(cbrt (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
144.0ms	(pow (+ x 1.0) (/ 1.0 n))
269.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify73.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	679	1824
1	2857	1775
2	5001	1769

prune387.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 20.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ x 1.0) (/ 1.0 n))
0.0b	(exp (log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)))
0.2b	(log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
1.1b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

84×	`unpow-prod-down`
79×	`add-sqr-sqrt`
72×	`log-prod`
56×	`*-un-lft-identity`
45×	`difference-of-squares`
36×	`exp-sum`
33×	`sqr-pow`
30×	`cube-prod`
19×	`add-cube-cbrt`
15×	`distribute-lft-out--`
13×	`pow-unpow`
9×	`times-frac`
7×	`add-exp-log`
6×	`distribute-lft-out` `add-log-exp`
5×	`pow1`
4×	`cube-div` `log-div` `exp-prod` `add-cbrt-cube`
3×	`flip3--` `rem-log-exp` `flip--`
2×	`cube-mult` `pow-to-exp` `exp-diff` `unpow3` `pow-exp` `log-pow`
1×	`sub-neg` `pow-pow` `diff-log` `div-inv` `rem-exp-log`

Counts

4 → 151

Calls

4 calls:

6.0ms	(pow (+ x 1.0) (/ 1.0 n))
15.0ms	(exp (log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)))
12.0ms	(log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
10.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series3.2s

Counts

4 → 12

Calls

4 calls:

150.0ms	(pow (+ x 1.0) (/ 1.0 n))
462.0ms	(exp (log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)))
2.3s	(log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
277.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify78.0ms

Algorithm

egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	829	2052
1	3118	1935
2	5001	1929

prune488.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 20.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (+ x 1.0) (/ 1.0 n))
0.0b	(exp (cbrt (pow (log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)) 3)))
0.2b	(log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
1.1b	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

55×	`add-sqr-sqrt`
53×	`unpow-prod-down`
42×	`*-un-lft-identity`
36×	`log-prod`
27×	`difference-of-squares`
21×	`sqr-pow`
19×	`add-cube-cbrt` `cube-prod`
17×	`exp-prod`
14×	`cbrt-prod`
13×	`pow-unpow`
9×	`times-frac` `distribute-lft-out--`
7×	`add-exp-log` `add-log-exp`
5×	`pow1`
4×	`add-cbrt-cube` `distribute-lft-out`
3×	`rem-log-exp` `log-pow`
2×	`cube-div` `cube-mult` `pow-to-exp` `log-div` `flip3--` `unpow3` `pow-exp` `flip--`
1×	`sub-neg` `pow-pow` `diff-log` `div-inv` `rem-exp-log`

Counts

4 → 126

Calls

4 calls:

6.0ms	(pow (+ x 1.0) (/ 1.0 n))
5.0ms	(exp (cbrt (pow (log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)) 3)))
13.0ms	(log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
10.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

series3.2s

Counts

4 → 12

Calls

4 calls:

143.0ms	(pow (+ x 1.0) (/ 1.0 n))
458.0ms	(exp (cbrt (pow (log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3)) 3)))
2.3s	(log (pow (- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n))) 3))
281.0ms	(- (pow (+ x 1.0) (/ 1.0 n)) (pow x (/ 1.0 n)))

simplify82.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 1 (17.0ms)

Iter	Nodes	Cost
0	844	1596
1	3229	1513
2	5001	1513

prune502.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 20.0b

regimes247.0ms

Accuracy

79.1% (2.2b remaining)

Error of 24.2b against oracle of 22.0b and baseline of 32.6b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	50
1	55	50

end0.0ms

sample6.5s

Algorithm

intervals

Results

1.8s	3830×	body	1280	valid
1.3s	2147×	body	1280	nan
729.0ms	1802×	body	640	nan
665.0ms	1346×	body	10240	exit
611.0ms	1795×	body	640	valid
259.0ms	6045×	body	80	nan
215.0ms	847×	body	320	nan
203.0ms	887×	body	320	valid
158.0ms	3109×	body	80	valid
66.0ms	468×	body	160	valid
65.0ms	451×	body	160	nan