Details

Time bar (total: 3.2s)

sample10.0ms

Algorithm
intervals
Results
4.0ms323×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize5.0ms

Local error

Found 1 expressions with local error:

0.9b
(/ 1.0 (* x x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
2×cbrt-undiv div-exp
1×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:
3.0ms
(/ 1.0 (* x x))

series24.0ms

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

simplify95.0ms

Algorithm
egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010192
132277
295777
3451777
4500277

prune37.0ms

Filtered
26 candidates to 18 candidates (69.2%)
Pruning

3 alts after pruning (2 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*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×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)

series24.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0313455
11182421
25001412

prune113.0ms

Filtered
75 candidates to 52 candidates (69.3%)
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))

rewrite27.0ms

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
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 152
Calls
4 calls:
17.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
1.0ms
(cbrt (/ 1.0 x))
1.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))

series801.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
196.0ms
(cbrt (/ 1.0 x))
190.0ms
(cbrt (/ 1.0 x))
188.0ms
(cbrt (/ 1.0 x))

simplify131.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
02261109
18171069
246691027
350011023

prune375.0ms

Filtered
164 candidates to 130 candidates (79.3%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

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 (/ 1.0 x))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
29×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
11×pow1
9×times-frac pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 cbrt-div pow-plus prod-exp *-commutative cbrt-unprod div-inv
Counts
4 → 92
Calls
4 calls:
5.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
2.0ms
(cbrt (/ 1.0 x))

series744.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(* (cbrt x) (cbrt x))
175.0ms
(cbrt x)
172.0ms
(cbrt x)
198.0ms
(cbrt (/ 1.0 x))

simplify143.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0197407
1706378
24725354
35002354

prune277.0ms

Filtered
104 candidates to 81 candidates (77.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes80.0ms

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

sample249.0ms

Algorithm
intervals
Results
146.0ms10672×body80valid