Details

sample23.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	3
1	19	3
2	21	3
3	23	3
4	25	3
5	26	3
6	26	3

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma (/ 841.0 108.0) x (/ 4.0 29.0))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma (/ 841.0 108.0) x (/ 4.0 29.0))

simplify67.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	30	53
1	54	46
2	161	46
3	607	46
4	2687	46
5	5003	46

prune33.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (/ 841.0 108.0) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-l`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `pow-prod-down` `associate-l/` `-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 34

Calls

1 calls:

7.0ms

(* (/ 841.0 108.0) x)

series15.0ms

Counts

1 → 3

Calls

1 calls:

15.0ms

(* (/ 841.0 108.0) x)

simplify47.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (14.0ms)

Iter	Nodes	Cost
0	156	131
1	547	116
2	2052	115
3	5002	115

prune71.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
26×	`add-sqr-sqrt`
19×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`sqrt-div`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`unswap-sqr`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`frac-times` `associate-*r/`

Counts

2 → 72

Calls

2 calls:

10.0ms	(* (sqrt (/ 841.0 108.0)) x)
21.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series112.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(* (sqrt (/ 841.0 108.0)) x)
69.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify80.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	223	412
1	758	367
2	3208	367
3	5002	367

prune176.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
0.4b	(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

86×	`add-sqr-sqrt`
77×	`cbrt-prod`
61×	`times-frac`
55×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
33×	`sqrt-div`
32×	`sqrt-prod`
30×	`cbrt-div`
27×	`pow1`
24×	`associate-*l/`
22×	`add-exp-log`
21×	`associate-r`
20×	`add-cbrt-cube`
19×	`frac-times`
16×	`swap-sqr`
13×	`associate-*r/`
12×	`pow-prod-down` `unswap-sqr`
11×	`prod-exp` `cbrt-unprod`
6×	`pow1/3` `div-inv`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 194

Calls

4 calls:

10.0ms	(* (sqrt (/ 841.0 108.0)) x)
76.0ms	(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
23.0ms	(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
17.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series302.0ms

Counts

4 → 10

Calls

4 calls:

40.0ms	(* (sqrt (/ 841.0 108.0)) x)
154.0ms	(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
108.0ms	(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify76.0ms

Algorithm

egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	555	1752
1	2051	1647
2	5001	1616

prune590.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample566.0ms

Algorithm

intervals

Results

468.0ms	8012×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid