Details

Time bar (total: 4.1s)

sample11.0ms

Algorithm
intervals
Results
5.0ms348×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize3.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ 1.0 (* x x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r* cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 23
Calls
1 calls:
4.0ms
(/ 1.0 (* x x))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(/ 1.0 (* x x))

simplify97.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010192
132277
295777
3451777
4500277

prune42.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/r*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (/ 1.0 x) x)

simplify35.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0313455
11182421
25001412

prune114.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
21.6b
(cbrt (/ (/ 1.0 x) x))
21.6b
(cbrt (/ (/ 1.0 x) x))
21.6b
(cbrt (/ (/ 1.0 x) x))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
325×cbrt-prod
309×add-sqr-sqrt
253×add-cube-cbrt *-un-lft-identity
46×swap-sqr associate-*r* associate-*l*
28×div-inv
16×unswap-sqr
11×pow1
pow1/3
cbrt-div
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 339
Calls
4 calls:
69.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))

series1.1s

Counts
4 → 12
Calls
4 calls:
242.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
210.0ms
(cbrt (/ (/ 1.0 x) x))
205.0ms
(cbrt (/ (/ 1.0 x) x))
420.0ms
(cbrt (/ (/ 1.0 x) x))

simplify82.0ms

Algorithm
egg-herbie
Counts
351 → 351
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06093903
122413811
250013745

prune828.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.6b
(cbrt (/ 1.0 x))
21.6b
(cbrt (/ (/ 1.0 x) x))
21.6b
(cbrt (/ (/ 1.0 x) x))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
102×cbrt-prod
82×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
div-inv
pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div
Counts
4 → 145
Calls
4 calls:
0.0ms
(cbrt x)
1.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ (/ 1.0 x) x))
4.0ms
(cbrt (/ (/ 1.0 x) x))

series822.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(cbrt x)
201.0ms
(cbrt (/ 1.0 x))
216.0ms
(cbrt (/ (/ 1.0 x) x))
214.0ms
(cbrt (/ (/ 1.0 x) x))

simplify43.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03781203
110951151
250011114

prune422.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes61.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042

end0.0ms

sample272.0ms

Algorithm
intervals
Results
151.0ms10581×body80valid