Details

Time bar (total: 3.6s)

sample10.0ms

Algorithm
intervals
Results
5.0ms333×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: 0.5b

localize3.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1.0 (* x x))

rewrite5.0ms

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))

simplify101.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010192
132277
295777
3451777
4500277

prune42.0ms

Pruning

4 alts after pruning (3 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)

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ (/ 1.0 x) x)

simplify36.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0313455
11182421
25001412

prune119.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
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 → 152
Calls
4 calls:
12.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series833.0ms

Counts
4 → 12
Calls
4 calls:
235.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
196.0ms
(cbrt (/ 1.0 x))
203.0ms
(cbrt (/ 1.0 x))
198.0ms
(cbrt (/ 1.0 x))

simplify129.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (116.0ms)

IterNodesCost
02261109
18171069
246691027
350011023

prune393.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* (cbrt (/ 1.0 x)) (cbrt 1.0)) (cbrt x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
24×times-frac
23×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-exp-log
associate-/r*
add-cbrt-cube
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-div pow1/3 div-inv
cbrt-undiv div-exp
frac-2neg associate-*l/ prod-exp clear-num cbrt-unprod associate-/l/ associate-/l*
Counts
4 → 91
Calls
4 calls:
11.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt 1.0)) (cbrt x))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
286.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt 1.0)) (cbrt x))
188.0ms
(cbrt (/ 1.0 x))
189.0ms
(cbrt (/ 1.0 x))
343.0ms
(cbrt x)

simplify161.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0236580
1799552
24718537
35001537

prune284.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes81.0ms

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

sample251.0ms

Algorithm
intervals
Results
148.0ms10758×body80valid