Details

sample18.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify9.0ms

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

localize8.0ms

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)

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)

simplify75.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 2 (21.0ms)

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

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
0.1b	(* (cbrt (/ 841.0 108.0)) x)
0.3b	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
1.0b	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

79×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
45×	`add-cube-cbrt` `*-un-lft-identity`
33×	`associate-l`
29×	`cbrt-div`
25×	`pow1`
20×	`add-exp-log` `associate-r` `associate-*l/`
16×	`swap-sqr`
12×	`unswap-sqr`
11×	`frac-times` `pow-prod-down` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-*r/` `frac-add`
6×	`pow1/3` `add-log-exp`
5×	`div-inv`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`+-commutative` `pow2` `flip3-+` `pow-plus` `sum-log` `flip-+`

Counts

4 → 159

Calls

4 calls:

37.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
9.0ms	(* (cbrt (/ 841.0 108.0)) x)
30.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
18.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series240.0ms

Counts

4 → 10

Calls

4 calls:

101.0ms	(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
47.0ms	(* (cbrt (/ 841.0 108.0)) x)
91.0ms	(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
0.0ms	(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	494	1461
1	1820	1299
2	5001	1232

prune374.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 841.0 108.0) x)
0.3b	(* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
0.3b	(pow (* (/ 841.0 108.0) x) 3)
18.6b	(/ (+ (pow (* (/ 841.0 108.0) x) 3) (pow (/ 4.0 29.0) 3)) (+ (* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (* (/ 4.0 29.0) (/ 4.0 29.0))))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

38×	`associate-*l/`
32×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`add-exp-log` `add-cbrt-cube`
25×	`times-frac`
24×	`add-cube-cbrt`
23×	`associate-/r/`
22×	`frac-add`
19×	`frac-times` `associate-*r/`
14×	`pow1` `associate-l`
9×	`prod-exp` `cbrt-unprod`
8×	`flip3--` `frac-sub` `flip--`
6×	`associate-r`
5×	`pow-prod-down` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `sum-cubes` `distribute-lft-out` `add-log-exp`
3×	`cube-div` `pow-unpow` `pow-exp` `associate-/r*` `associate-/l/` `rem-cube-cbrt`
2×	`distribute-rgt-in` `sub-neg` `pow-pow` `distribute-lft-in` `flip3-+` `*-commutative` `flip-+` `div-inv` `unswap-sqr`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `frac-2neg` `unpow3` `cube-prod` `clear-num` `sqr-pow`

Counts

4 → 149

Calls

4 calls:

7.0ms	(* (/ 841.0 108.0) x)
31.0ms	(* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
4.0ms	(pow (* (/ 841.0 108.0) x) 3)
104.0ms	(/ (+ (pow (* (/ 841.0 108.0) x) 3) (pow (/ 4.0 29.0) 3)) (+ (* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (* (/ 4.0 29.0) (/ 4.0 29.0))))

series295.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (/ 841.0 108.0) x)
84.0ms	(* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
38.0ms	(pow (* (/ 841.0 108.0) x) 3)
153.0ms	(/ (+ (pow (* (/ 841.0 108.0) x) 3) (pow (/ 4.0 29.0) 3)) (+ (* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (* (/ 4.0 29.0) (/ 4.0 29.0))))

simplify122.0ms

Algorithm

egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 2 (101.0ms)

Iter	Nodes	Cost
0	813	2233
1	3798	2100
2	5002	2095

prune390.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

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

sample454.0ms

Algorithm

intervals

Results

366.0ms	8012×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	320	valid