Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

257×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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)

rewrite35.0ms

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:

14.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
19.0ms	(* (/ 841.0 108.0) x)

series49.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
14.0ms	(* (/ 841.0 108.0) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (20.0ms)

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

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
0.2b	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
0.4b	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 142

Calls

3 calls:

50.0ms	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
27.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
61.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

series420.0ms

Counts

3 → 9

Calls

3 calls:

173.0ms	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
88.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
159.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

simplify63.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	488	1293
1	2286	1046
2	5001	964

prune294.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (sqrt 841.0))
1.0b	(cbrt (sqrt 841.0))
1.0b	(/ (cbrt (sqrt 841.0)) (sqrt (cbrt 108.0)))
1.0b	(* (cbrt (sqrt 841.0)) (cbrt (sqrt 841.0)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

142×	`cbrt-prod`
116×	`sqrt-prod`
102×	`add-sqr-sqrt`
81×	`times-frac`
80×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`associate-r` `associate-l` `associate-/r` `associate-/l` `unswap-sqr`
8×	`add-exp-log` `pow1/3`
5×	`add-cbrt-cube`
4×	`add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`cbrt-undiv` `pow2` `frac-2neg` `pow-plus` `div-exp` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv`

Counts

4 → 195

Calls

4 calls:

1.0ms	(cbrt (sqrt 841.0))
1.0ms	(cbrt (sqrt 841.0))
11.0ms	(/ (cbrt (sqrt 841.0)) (sqrt (cbrt 108.0)))
15.0ms	(* (cbrt (sqrt 841.0)) (cbrt (sqrt 841.0)))

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(cbrt (sqrt 841.0))
0.0ms	(cbrt (sqrt 841.0))
0.0ms	(/ (cbrt (sqrt 841.0)) (sqrt (cbrt 108.0)))
0.0ms	(* (cbrt (sqrt 841.0)) (cbrt (sqrt 841.0)))

simplify75.0ms

Algorithm

egg-herbie

Counts

199 → 199

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	275	1914
1	934	1819
2	3314	1721
3	5001	1690

prune593.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
0.5b	(/ (* 841.0 x) 108.0)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 34

Calls

2 calls:

19.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
9.0ms	(/ (* 841.0 x) 108.0)

series48.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
14.0ms	(/ (* 841.0 x) 108.0)

simplify76.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	201	178
1	789	159
2	3556	158
3	5002	158

prune60.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes47.0ms

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

sample298.0ms

Algorithm

intervals

Results

173.0ms	8010×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid