Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

257×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	4
1	17	4
2	19	4
3	21	4
4	22	4
5	22	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b	(* (/ 841.0 108.0) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
7×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

7.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
8.0ms	(* (/ 841.0 108.0) x)

series51.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
16.0ms	(* (/ 841.0 108.0) x)

simplify84.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	241	217
1	828	198
2	3241	196
3	5001	196

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (sqrt (/ 841.0 108.0)) x)
0.3b	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

32×	`associate-l`
28×	`sqrt-prod`
27×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
10×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`sqrt-div`
7×	`associate-*l/`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`frac-add` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 82

Calls

3 calls:

20.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
10.0ms	(* (sqrt (/ 841.0 108.0)) x)
25.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

series210.0ms

Counts

3 → 9

Calls

3 calls:

89.0ms	(+ (* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
47.0ms	(* (sqrt (/ 841.0 108.0)) x)
74.0ms	(* (sqrt (/ 841.0 108.0)) (* (sqrt (/ 841.0 108.0)) x))

simplify129.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	322	573
1	1080	507
2	4743	505
3	5002	505

prune214.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite326.0ms

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×	`*-commutative` `add-log-exp`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 186

Calls

4 calls:

10.0ms	(* (sqrt (/ 841.0 108.0)) x)
80.0ms	(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
208.0ms	(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
17.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series316.0ms

Counts

4 → 10

Calls

4 calls:

43.0ms	(* (sqrt (/ 841.0 108.0)) x)
156.0ms	(* (sqrt (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))) (* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x)))
117.0ms	(* (sqrt (cbrt (/ 841.0 108.0))) (* (sqrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	547	1686
1	2042	1581
2	5001	1550

prune575.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

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

sample250.0ms

Algorithm

intervals

Results

160.0ms	8014×	body	80	valid
0.0ms	1×	body	320	valid