Details

Time bar (total: 2.3s)

sample12.0ms

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

prune1.0ms

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)

rewrite32.0ms

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:
14.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
17.0ms
(* (/ 841.0 108.0) x)

series46.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))
15.0ms
(* (/ 841.0 108.0) x)

simplify74.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0241217
1828198
23241196
35001196

prune83.0ms

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))
0.2b
(/ (* 841.0 x) 108.0)

rewrite32.0ms

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:
18.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
12.0ms
(/ (* 841.0 x) 108.0)

series50.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(+ (/ (* 841.0 x) 108.0) (/ 4.0 29.0))
14.0ms
(/ (* 841.0 x) 108.0)

simplify81.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0201178
1789159
23556158
35002158

prune67.0ms

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)))

rewrite157.0ms

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:
55.0ms
(+ (* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x)) (/ 4.0 29.0))
14.0ms
(* (cbrt (/ 841.0 108.0)) x)
53.0ms
(* (* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0))) (* (cbrt (/ 841.0 108.0)) x))
27.0ms
(* (cbrt (/ 841.0 108.0)) (cbrt (/ 841.0 108.0)))

series232.0ms

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))
40.0ms
(* (cbrt (/ 841.0 108.0)) x)
88.0ms
(* (* (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

prune371.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
32×associate-*l*
29×add-cube-cbrt *-un-lft-identity
27×sqrt-div
24×pow1
21×sqrt-prod
20×times-frac
16×add-exp-log add-cbrt-cube
14×associate-*l/
12×associate-*r*
9×frac-times sqrt-pow1 flip3-+ pow1/2 frac-add flip-+
8×swap-sqr unswap-sqr
5×pow-prod-down prod-exp pow-prod-up cbrt-unprod
4×add-log-exp
3×associate-*r/ pow-sqr *-commutative
2×cbrt-undiv div-exp div-inv
1×pow2 rem-sqrt-square pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 144
Calls
4 calls:
21.0ms
(sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
13.0ms
(* (/ 841.0 108.0) x)
13.0ms
(* (/ 841.0 108.0) x)
100.0ms
(* (sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))

series102.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0)))
14.0ms
(* (/ 841.0 108.0) x)
14.0ms
(* (/ 841.0 108.0) x)
33.0ms
(* (sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))) (sqrt (+ (* (/ 841.0 108.0) x) (/ 4.0 29.0))))

simplify53.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
03881100
11503996
25001966

prune334.0ms

Pruning

4 alts after pruning (0 fresh and 4 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)

IterNodesCost
0114
1114

end0.0ms

sample269.0ms

Algorithm
intervals
Results
155.0ms8010×body80valid
0.0ms1×body1280valid