Details

sample11.0ms

Algorithm

intervals

Results

5.0ms

256×

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

Filtered

1 candidates to 0 candidates (0.0%)

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))
0.2b	(* (/ 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)

series53.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
19.0ms	(* (/ 841.0 108.0) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (22.0ms)

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

prune94.0ms

Filtered

50 candidates to 38 candidates (76.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

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:

11.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
3.0ms	(/ (* 841.0 x) 108.0)

series51.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
14.0ms	(/ (* 841.0 x) 108.0)

simplify79.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 2 (20.0ms)

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

prune65.0ms

Filtered

40 candidates to 28 candidates (70.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
0.1b	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
0.3b	(* (* 841.0 x) 29.0)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 52

Calls

3 calls:

6.0ms	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
19.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
10.0ms	(* (* 841.0 x) 29.0)

series102.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* (* 841.0 x) 29.0) (* 108.0 4.0))
56.0ms	(/ (+ (* (* 841.0 x) 29.0) (* 108.0 4.0)) (* 108.0 29.0))
14.0ms	(* (* 841.0 x) 29.0)

simplify40.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	290	382
1	1238	324
2	5001	324

prune107.0ms

Filtered

61 candidates to 42 candidates (68.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-sqr-sqrt`
66×	`times-frac`
44×	`add-cube-cbrt` `*-un-lft-identity`
36×	`sqrt-prod`
22×	`associate-r` `associate-l`
17×	`add-exp-log` `add-cbrt-cube`
9×	`unswap-sqr`
6×	`associate-/r*`
5×	`pow1` `cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`frac-add` `div-inv` `associate-/l*`
2×	`frac-times` `associate-r/` `associate-l/`
1×	`+-commutative` `frac-2neg` `flip3-+` `pow-prod-down` `clear-num` `sum-log` `*-commutative` `flip-+`

Counts

3 → 126

Calls

3 calls:

11.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
3.0ms	(/ x (sqrt 108.0))
28.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

series310.0ms

Counts

3 → 9

Calls

3 calls:

149.0ms	(+ (* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0))) (/ 4.0 29.0))
59.0ms	(/ x (sqrt 108.0))
102.0ms	(* (/ 841.0 (sqrt 108.0)) (/ x (sqrt 108.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	502	969
1	2184	891
2	5002	841

prune256.0ms

Filtered

135 candidates to 87 candidates (64.4%)

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

sample242.0ms

Algorithm

intervals

Results

158.0ms

8011×

body

valid