Details

Time bar (total: 4.4s)

sample13.0ms

Algorithm
intervals
Results
4.0ms235×body80valid
0.0msbody2560valid
0.0msbody1280valid
0.0msbody640valid
0.0msbody320valid

simplify27.0ms

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))

rewrite17.0ms

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:
13.0ms
(+ x (/ (- x y) 2.0))

series41.0ms

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

simplify92.0ms

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 4 (89.0ms)

IterNodesCost
09789
126181
277381
3372781
4500180

prune52.0ms

Pruning

5 alts after pruning (4 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)

rewrite10.0ms

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)

series795.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(* (cbrt x) (cbrt x))
193.0ms
(cbrt x)
198.0ms
(cbrt x)
183.0ms
(cbrt x)

simplify100.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (95.0ms)

IterNodesCost
0119308
1477281
22972258
35001255

prune254.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×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 → 50
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(cbrt (* (cbrt x) (cbrt x)))

series890.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt x)
191.0ms
(cbrt x)
193.0ms
(cbrt x)
307.0ms
(cbrt (* (cbrt x) (cbrt x)))

simplify103.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 4 (99.0ms)

IterNodesCost
082202
1172184
2563174
32341174
45002171

prune252.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.9b
(pow (cbrt (cbrt x)) 4)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
unpow-prod-down
pow1 add-exp-log
expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
pow-unpow
pow-pow
pow-to-exp pow-exp sqr-pow
Counts
4 → 65
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
3.0ms
(pow (cbrt (cbrt x)) 4)

series951.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt x)
202.0ms
(cbrt x)
194.0ms
(cbrt x)
350.0ms
(pow (cbrt (cbrt x)) 4)

simplify76.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0139274
1421257
21526241
35001241

prune282.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes82.0ms

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

sample300.0ms

Algorithm
intervals
Results
136.0ms7414×body80valid
17.0ms221×body1280valid
13.0ms96×body2560valid
9.0ms147×body640valid
4.0ms87×body320valid
1.0ms37×body160valid