Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

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

localize6.0ms

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)

rewrite16.0ms

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)

series61.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
18.0ms	(* (/ 841.0 108.0) x)

simplify90.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (27.0ms)

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

prune113.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
0.0b	(* (/ 841.0 (sqrt 108.0)) x)
0.4b	(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-exp-log`
44×	`associate-l`
38×	`add-sqr-sqrt` `times-frac`
30×	`add-cube-cbrt` `*-un-lft-identity`
29×	`add-cbrt-cube`
22×	`prod-exp`
19×	`sqrt-prod`
12×	`cbrt-unprod`
11×	`div-exp`
10×	`pow1`
7×	`associate-*l/`
6×	`cbrt-undiv`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down`
3×	`rec-exp` `1-exp` `frac-add` `unswap-sqr`
2×	`frac-times` `associate-r/` `-commutative` `div-inv`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 110

Calls

3 calls:

22.0ms	(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
15.0ms	(* (/ 841.0 (sqrt 108.0)) x)
26.0ms	(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

series362.0ms

Counts

3 → 9

Calls

3 calls:

165.0ms	(+ (* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x)) (/ 4.0 29.0))
77.0ms	(* (/ 841.0 (sqrt 108.0)) x)
119.0ms	(* (/ 1 (sqrt 108.0)) (* (/ 841.0 (sqrt 108.0)) x))

simplify74.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	508	832
1	2737	674
2	5002	592

prune252.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

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))
0.1b	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
0.3b	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

rewrite100.0ms

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:

29.0ms	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
19.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
42.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

series526.0ms

Counts

3 → 9

Calls

3 calls:

221.0ms	(+ (* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x)) (/ 4.0 29.0))
111.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) x)
193.0ms	(* (/ (sqrt 841.0) (sqrt 108.0)) (* (/ (sqrt 841.0) (sqrt 108.0)) x))

simplify73.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (59.0ms)

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

prune355.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (* 841.0 x) 29.0)
0.4b	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

6.0ms	(* (* 841.0 x) 29.0)
19.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

series78.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(* (* 841.0 x) 29.0)
61.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	258	295
1	1140	241
2	5002	241

prune95.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample484.0ms

Algorithm

intervals

Results

386.0ms	8006×	body	80	valid
1.0ms	3×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid