Details

Time bar (total: 8.6s)

sample23.0ms

Algorithm
intervals
Results
10.0ms332×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize7.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1.0 (* x x))

rewrite12.0ms

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:
11.0ms
(/ 1.0 (* x x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ 1.0 (* x x))

simplify426.0ms

Counts
26 → 26
Iterations

Useful iterations: done (425.0ms)

IterNodesCost
045197
1112194
2615168
done5000164

prune40.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 x) x)

rewrite15.0ms

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:
12.0ms
(/ (/ 1.0 x) x)

series30.0ms

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

simplify908.0ms

Counts
75 → 75
Iterations

Useful iterations: done (906.0ms)

IterNodesCost
0142874
1343825
21630773
done5001761

prune173.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite74.0ms

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:
46.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
4.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ 1.0 x))
4.0ms
(cbrt (/ 1.0 x))

series1.3s

Counts
4 → 12
Calls
4 calls:
439.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
310.0ms
(cbrt (/ 1.0 x))
259.0ms
(cbrt (/ 1.0 x))
275.0ms
(cbrt (/ 1.0 x))

simplify1.7s

Counts
164 → 164
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01461894
12591747
212151685
done50011665

prune459.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×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 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
13.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series990.0ms

Counts
4 → 12
Calls
4 calls:
288.0ms
(* (cbrt x) (cbrt x))
220.0ms
(cbrt x)
241.0ms
(cbrt x)
241.0ms
(cbrt x)

simplify1.3s

Counts
93 → 93
Iterations

Useful iterations: done (1.3s)

IterNodesCost
065554
1143443
2719423
done5000409

prune267.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes109.0ms

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

sample652.0ms

Algorithm
intervals
Results
353.0ms10579×body80valid