Details

Time bar (total: 10.0s)

sample11.0ms

Algorithm
intervals
Results
5.0ms354×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 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))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ 1.0 (* x x))

simplify2.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
045197
199194
2303164
31131164
43406164
done5000164

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

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)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(/ (/ 1.0 x) x)

simplify615.0ms

Counts
75 → 75
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
0142874
1319825
21199769
done5001769

prune118.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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))

rewrite32.0ms

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:
21.0ms
(* (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))

series844.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
196.0ms
(cbrt (/ 1.0 x))
214.0ms
(cbrt (/ 1.0 x))
199.0ms
(cbrt (/ 1.0 x))

simplify2.1s

Counts
164 → 164
Iterations

Useful iterations: 3 (431.0ms)

IterNodesCost
01461894
12291755
28211685
336891616
done50011616

prune371.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

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:
9.0ms
(* (cbrt x) (cbrt x))
0.0ms
(cbrt x)
0.0ms
(cbrt x)
2.0ms
(cbrt (/ 1.0 x))

series927.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt x) (cbrt x))
357.0ms
(cbrt x)
181.0ms
(cbrt x)
198.0ms
(cbrt (/ 1.0 x))

simplify2.0s

Counts
104 → 104
Iterations

Useful iterations: 3 (392.0ms)

IterNodesCost
0123722
1201656
2657576
33239558
done5000558

prune270.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes64.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample253.0ms

Algorithm
intervals
Results
146.0ms10796×body80valid