Details

Time bar (total: 4.1s)

sample15.0ms

Algorithm
intervals
Results
4.0ms234×body80valid
1.0ms11×body1280valid
0.0msbody640valid
0.0msbody2560valid
0.0msbody320valid
0.0msbody160valid

simplify23.0ms

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))

rewrite21.0ms

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:
21.0ms
(+ x (/ (- x y) 2.0))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(+ x (/ (- x y) 2.0))

simplify85.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 4 (82.0ms)

IterNodesCost
09789
126181
277381
3372781
4500180

prune45.0ms

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)

rewrite16.0ms

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:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series725.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(* (cbrt x) (cbrt x))
182.0ms
(cbrt x)
177.0ms
(cbrt x)
172.0ms
(cbrt x)

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (90.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune227.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
12×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 → 52
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series716.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt x)
178.0ms
(cbrt x)
178.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify136.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
042172
183160
2195152
3699152
44132152
55001152

prune217.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

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)))

rewrite16.0ms

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:
1.0ms
(cbrt x)
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))
5.0ms
(cbrt (* (cbrt x) (cbrt x)))

series990.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
277.0ms
(cbrt (* (cbrt x) (cbrt x)))
263.0ms
(cbrt (* (cbrt x) (cbrt x)))
271.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify89.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 4 (85.0ms)

IterNodesCost
082262
1172232
2563218
32341218
45002217

prune197.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes90.0ms

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

sample344.0ms

Algorithm
intervals
Results
131.0ms7392×body80valid
16.0ms225×body1280valid
13.0ms141×body640valid
8.0ms95×body2560valid
5.0ms106×body320valid
1.0ms46×body160valid