Details

sample50.0ms

Algorithm

intervals

Results

31.0ms

458×

body

valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	70	42
1	252	42
2	1059	42
3	4713	42
4	5001	42

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.3b	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite9.4s

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log` `add-cbrt-cube`
98×	`prod-exp` `cbrt-unprod`
69×	`pow1`
49×	`pow-prod-down`
39×	`associate-l`
27×	`add-sqr-sqrt` `times-frac`
26×	`add-cube-cbrt` `*-un-lft-identity`
15×	`cbrt-undiv` `div-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l/` `sqrt-prod` `-commutative` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 165

Calls

4 calls:

597.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
56.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
8.7s	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
2.0ms	(sqrt PI)

series178.0ms

Counts

4 → 10

Calls

4 calls:

61.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
43.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
74.0ms	(* (/ 1.0 21.0) (* (* (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify94.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	957	2149
1	4024	1345
2	5001	1165

prune582.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 21.0) (pow (fabs x) 6))
0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)

rewrite683.0ms

Algorithm

rewrite-expression-head

Rules

83×	`add-exp-log`
75×	`add-cbrt-cube`
48×	`prod-exp`
44×	`cbrt-unprod`
42×	`add-sqr-sqrt`
39×	`associate-l`
34×	`pow1`
30×	`times-frac`
28×	`add-cube-cbrt` `*-un-lft-identity`
21×	`pow-prod-down`
11×	`div-exp`
9×	`cbrt-undiv` `associate-r`
6×	`unswap-sqr`
5×	`unpow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l/` `sqrt-prod` `-commutative` `div-inv` `sqr-pow`
2×	`pow-to-exp` `pow-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 150

Calls

4 calls:

20.0ms	(* (/ 1.0 21.0) (pow (fabs x) 6))
597.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
59.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)

series170.0ms

Counts

4 → 10

Calls

4 calls:

64.0ms	(* (/ 1.0 21.0) (pow (fabs x) 6))
62.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
44.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)

simplify88.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	786	1280
1	3469	994
2	5002	944

prune629.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(* (cbrt 21.0) (cbrt 21.0))
1.0b	(sqrt PI)

rewrite675.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-exp-log`
70×	`add-cbrt-cube`
43×	`prod-exp` `cbrt-unprod`
41×	`pow1`
36×	`add-sqr-sqrt`
32×	`associate-l`
27×	`add-cube-cbrt` `*-un-lft-identity`
23×	`pow-prod-down`
18×	`times-frac`
16×	`cbrt-prod`
8×	`cbrt-undiv` `div-exp` `associate-r`
6×	`pow1/3` `swap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod` `*-commutative`
2×	`associate-*l/` `pow-sqr` `pow-prod-up` `div-inv`
1×	`pow2` `rem-sqrt-square` `sqrt-pow1` `pow-plus` `pow1/2`

Counts

4 → 147

Calls

4 calls:

598.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
59.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
11.0ms	(* (cbrt 21.0) (cbrt 21.0))
1.0ms	(sqrt PI)

series105.0ms

Counts

4 → 8

Calls

4 calls:

57.0ms	(* (/ 1.0 5.0) (* (* (* (* (fabs x) (fabs x)) (fabs x)) (fabs x)) (fabs x)))
48.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(* (cbrt 21.0) (cbrt 21.0))
0.0ms	(sqrt PI)

simplify71.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	633	1197
1	2564	863
2	5001	817

prune914.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0b	(sqrt PI)
8.0b	(sqrt (* (/ 1.0 21.0) (pow (fabs x) 6)))
8.0b	(sqrt (* (/ 1.0 21.0) (pow (fabs x) 6)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
16×	`pow1`
13×	`add-sqr-sqrt` `associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
9×	`times-frac`
6×	`pow-prod-down`
5×	`sqrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/`
2×	`sqrt-div`
1×	`rem-sqrt-square` `associate-r` `*-commutative` `div-inv`

Counts

4 → 81

Calls

4 calls:

60.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
1.0ms	(sqrt PI)
8.0ms	(sqrt (* (/ 1.0 21.0) (pow (fabs x) 6)))
8.0ms	(sqrt (* (/ 1.0 21.0) (pow (fabs x) 6)))

series166.0ms

Counts

4 → 10

Calls

4 calls:

46.0ms	(* (/ 2.0 3.0) (* (* (fabs x) (fabs x)) (fabs x)))
0.0ms	(sqrt PI)
58.0ms	(sqrt (* (/ 1.0 21.0) (pow (fabs x) 6)))
62.0ms	(sqrt (* (/ 1.0 21.0) (pow (fabs x) 6)))

simplify36.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	284	529
1	1033	441
2	5001	433

prune425.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.1b

regimes269.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	43
1	48	43

end0.0ms

sample1.2s

Algorithm

intervals

Results

959.0ms

13993×

body

valid