Details

Time bar (total: 2.7s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1174
2194
3214
4224
5224

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

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)

series52.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
18.0ms
(* (/ 841.0 108.0) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0241217
1828198
23241196
35001196

prune108.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
13×associate-*r*
10×add-cube-cbrt *-un-lft-identity times-frac
7×add-exp-log add-cbrt-cube
4×pow1 add-log-exp
3×associate-*l*
2×associate-*r/ 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 (/ x 108.0)) (/ 4.0 29.0))
8.0ms
(* 841.0 (/ x 108.0))

series51.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
17.0ms
(* 841.0 (/ x 108.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0254222
11015203
24300202
35002202

prune91.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

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)))

rewrite104.0ms

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:
35.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
10.0ms
(* (cbrt (/ 841.0 108.0)) x)
34.0ms
(* (* (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)))

series243.0ms

Counts
4 → 10
Calls
4 calls:
103.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
43.0ms
(* (cbrt (/ 841.0 108.0)) x)
97.0ms
(* (* (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)))

simplify70.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04941461
118201299
250011232

prune391.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (/ 841.0 108.0) x)
0.2b
(* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
0.3b
(pow (* (/ 841.0 108.0) x) 3)
19.3b
(/ (+ (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))))

rewrite156.0ms

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:
8.0ms
(* (/ 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)
107.0ms
(/ (+ (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))))

series304.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (/ 841.0 108.0) x)
88.0ms
(* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
44.0ms
(pow (* (/ 841.0 108.0) x) 3)
157.0ms
(/ (+ (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))))

simplify124.0ms

Algorithm
egg-herbie
Counts
161 → 161
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
08132233
137982100
250022095

prune427.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes48.0ms

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)

IterNodesCost
0114
1114

end0.0ms

sample241.0ms

Algorithm
intervals
Results
157.0ms8014×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid