Details

Time bar (total: 3.2s)

sample10.0ms

Algorithm
intervals
Results
4.0ms333×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
162

prune1.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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
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 frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv add-log-exp
Counts
1 → 21
Calls
1 calls:
4.0ms
(/ 1.0 (* x x))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(/ 1.0 (* x x))

simplify92.0ms

Algorithm
egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
09986
132071
295271
3449771
4500271

prune33.0ms

Filtered
24 candidates to 16 candidates (66.7%)
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*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/r*
1×pow1 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
6.0ms
(/ (/ 1.0 x) x)

series24.0ms

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

simplify34.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0311449
11180415
25001406

prune109.0ms

Filtered
73 candidates to 50 candidates (68.5%)
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))

rewrite26.0ms

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×add-cbrt-cube 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 → 144
Calls
4 calls:
11.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
5.0ms
(cbrt (/ 1.0 x))

series787.0ms

Counts
4 → 12
Calls
4 calls:
222.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
190.0ms
(cbrt (/ 1.0 x))
187.0ms
(cbrt (/ 1.0 x))
187.0ms
(cbrt (/ 1.0 x))

simplify129.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (118.0ms)

IterNodesCost
02221079
18121039
24659997
35001993

prune358.0ms

Filtered
156 candidates to 122 candidates (78.2%)
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)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
35×cbrt-prod
24×times-frac
23×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×add-exp-log
6×associate-/r*
5×add-cbrt-cube
4×pow1 add-log-exp
3×cbrt-div pow1/3 div-inv
2×cbrt-undiv div-exp
1×frac-2neg associate-*l/ prod-exp clear-num cbrt-unprod associate-/l/ associate-/l*
Counts
4 → 83
Calls
4 calls:
7.0ms
(/ (* (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)

series802.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(/ (* (cbrt (/ 1.0 x)) (cbrt 1.0)) (cbrt x))
191.0ms
(cbrt (/ 1.0 x))
187.0ms
(cbrt (/ 1.0 x))
174.0ms
(cbrt x)

simplify150.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0230550
1793522
24712507
35001507

prune269.0ms

Filtered
95 candidates to 82 candidates (86.3%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes77.0ms

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

sample250.0ms

Algorithm
intervals
Results
146.0ms10758×body80valid