Details

Time bar (total: 4.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms235×body80valid
1.0ms10×body1280valid
1.0msbody640valid
0.0msbody2560valid
0.0msbody320valid
0.0msbody160valid

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1193
2293
3413
4513
5793
61343
71693
81853
92133
102263
112263

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
fma-def add-log-exp
add-sqr-sqrt add-cube-cbrt
pow1 add-exp-log +-commutative expm1-log1p-u associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
12.0ms
(+ x (/ (- x y) 2.0))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(+ x (/ (- x y) 2.0))

simplify83.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 4 (80.0ms)

IterNodesCost
09789
126181
277381
3372781
4500180

prune49.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series748.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (cbrt x) (cbrt x))
181.0ms
(cbrt x)
186.0ms
(cbrt x)
174.0ms
(cbrt x)

simplify96.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune245.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 61
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series935.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt x)
258.0ms
(cbrt (cbrt x))
251.0ms
(cbrt (cbrt x))
249.0ms
(cbrt (cbrt x))

simplify50.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
075283
1145265
2361257
31382257
45002257

prune283.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (* (cbrt x) (cbrt x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 46
Calls
4 calls:
0.0ms
(cbrt x)
2.0ms
(cbrt (* (cbrt x) (cbrt x)))
3.0ms
(cbrt (* (cbrt x) (cbrt x)))
3.0ms
(cbrt (* (cbrt x) (cbrt x)))

series1.0s

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt x)
269.0ms
(cbrt (* (cbrt x) (cbrt x)))
293.0ms
(cbrt (* (cbrt x) (cbrt x)))
264.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify85.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 4 (81.0ms)

IterNodesCost
082262
1172232
2563218
32341218
45002217

prune212.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes100.0ms

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
073
173

end0.0ms

sample468.0ms

Algorithm
intervals
Results
263.0ms7401×body80valid
29.0ms196×body1280valid
21.0ms117×body2560valid
20.0ms153×body640valid
7.0ms82×body320valid
3.0ms53×body160valid