Details

Time bar (total: 2.2s)

sample12.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0134
1174
2194
3214
4224
5224

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)

rewrite33.0ms

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:
15.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms
(* (/ 841.0 108.0) x)

series50.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms
(* (/ 841.0 108.0) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0241217
1828198
23241196
35001196

prune98.0ms

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)

rewrite33.0ms

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:
21.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
10.0ms
(/ (* 841.0 x) 108.0)

series48.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
18.0ms
(/ (* 841.0 x) 108.0)

simplify83.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0201178
1789159
23556158
35002158

prune75.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

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)
0.4b
(* (* (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)))

rewrite178.0ms

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:
62.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
17.0ms
(* (cbrt (/ 841.0 108.0)) x)
62.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
28.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series232.0ms

Counts
4 → 10
Calls
4 calls:
98.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
48.0ms
(* (cbrt (/ 841.0 108.0)) x)
86.0ms
(* (* (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)))

simplify64.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
04941461
118201299
250011232

prune409.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
0.1b
(* (/ 841.0 108.0) x)
0.2b
(pow (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)) 3)
19.4b
(cbrt (pow (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)) 3))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×add-cube-cbrt *-un-lft-identity
13×associate-*l*
12×cbrt-prod
10×add-exp-log times-frac add-cbrt-cube
7×pow1
6×cube-div unpow-prod-down cube-prod add-log-exp
4×associate-*l/
3×pow-unpow cbrt-div flip3-+ associate-*r* frac-add flip-+
2×cube-mult unpow3 prod-exp cbrt-unprod unswap-sqr sqr-pow
1×cbrt-undiv +-commutative pow-to-exp pow-pow pow1/3 div-exp pow-prod-down pow-exp sum-log *-commutative rem-cbrt-cube div-inv rem-cube-cbrt
Counts
4 → 94
Calls
4 calls:
17.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms
(* (/ 841.0 108.0) x)
27.0ms
(pow (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)) 3)
28.0ms
(cbrt (pow (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)) 3))

series114.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
18.0ms
(* (/ 841.0 108.0) x)
33.0ms
(pow (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)) 3)
31.0ms
(cbrt (pow (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)) 3))

simplify51.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0390649
11645614
25001603

prune206.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes45.0ms

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

sample278.0ms

Algorithm
intervals
Results
162.0ms8010×body80valid
0.0ms2×body1280valid
0.0ms1×body320valid