Details

Time bar (total: 2.6s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1193
2213
3233
4253
5263
6263

prune4.0ms

Pruning

2 alts after pruning (2 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)

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×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
7.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
8.0ms
(* (/ 841.0 108.0) x)

series48.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms
(* (/ 841.0 108.0) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (69.0ms)

IterNodesCost
0252227
1873207
23441206
35001205

prune154.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize6.0ms

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×expm1-log1p-u associate-*r/ prod-exp cbrt-unprod log1p-expm1-u unswap-sqr
1×cbrt-undiv +-commutative fma-def flip3-+ div-exp pow-prod-down frac-add sum-log *-commutative flip-+ div-inv
Counts
2 → 49
Calls
2 calls:
7.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
7.0ms
(* 841.0 (/ x 108.0))

series55.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ (* 841.0 (/ x 108.0)) (/ 4.0 29.0))
15.0ms
(* 841.0 (/ x 108.0))

simplify98.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0265232
11060212
24486212
35001211

prune101.0ms

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)))

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
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×pow-sqr pow-prod-up
1×+-commutative pow2 fma-def flip3-+ pow-plus sum-log flip-+
Counts
4 → 168
Calls
4 calls:
34.0ms
(+ (* (* (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)
35.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
17.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series237.0ms

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)
89.0ms
(* (* (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)))

simplify65.0ms

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05151513
118971352
250011264

prune397.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize15.0ms

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)) (fma (/ (/ 4.0 29.0) 29.0) 4.0 (* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
43×add-sqr-sqrt times-frac
38×add-cube-cbrt
26×add-exp-log prod-diff add-cbrt-cube
15×distribute-rgt-in distribute-lft-in
14×pow1 associate-*l*
10×associate-*l/
9×prod-exp cbrt-unprod
6×associate-*r*
5×pow-prod-down associate-/l*
4×cbrt-undiv expm1-log1p-u div-exp sum-cubes log1p-expm1-u div-inv distribute-lft-out add-log-exp
3×cube-div frac-times pow-unpow associate-*r/ pow-exp associate-/r* associate-/l/ rem-cube-cbrt
2×sub-neg flip3-- pow-pow *-commutative frac-sub flip-- unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down frac-2neg flip3-+ unpow3 cube-prod frac-add clear-num flip-+ sqr-pow
Counts
4 → 160
Calls
4 calls:
8.0ms
(* (/ 841.0 108.0) x)
34.0ms
(* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
4.0ms
(pow (* (/ 841.0 108.0) x) 3)
72.0ms
(/ (+ (pow (* (/ 841.0 108.0) x) 3) (pow (/ 4.0 29.0) 3)) (fma (/ (/ 4.0 29.0) 29.0) 4.0 (* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))))

series319.0ms

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)))
45.0ms
(pow (* (/ 841.0 108.0) x) 3)
171.0ms
(/ (+ (pow (* (/ 841.0 108.0) x) 3) (pow (/ 4.0 29.0) 3)) (fma (/ (/ 4.0 29.0) 29.0) 4.0 (* (* (/ 841.0 108.0) x) (- (* (/ 841.0 108.0) x) (/ 4.0 29.0)))))

simplify54.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09702356
150012054

prune418.0ms

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)

IterNodesCost
0114
1114

end0.0ms

sample246.0ms

Algorithm
intervals
Results
161.0ms8014×body80valid
0.0ms2×body640valid
0.0ms1×body1280valid