Details

Time bar (total: 21.0s)

sample23.0ms

Algorithm
intervals
Results
10.0ms326×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ 1.0 (* x x))

rewrite19.0ms

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:
18.0ms
(/ 1.0 (* x x))

series60.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(/ 1.0 (* x x))

simplify4.6s

Counts
26 → 26
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 x) x)

rewrite30.0ms

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:
23.0ms
(/ (/ 1.0 x) x)

series50.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(/ (/ 1.0 x) x)

simplify4.7s

Counts
75 → 75
Iterations

Useful iterations: done (4.7s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune158.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

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 x)

rewrite29.0ms

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:
22.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
248.0ms
(* (cbrt x) (cbrt x))
329.0ms
(cbrt x)
250.0ms
(cbrt x)
302.0ms
(cbrt x)

simplify5.0s

Counts
93 → 93
Iterations

Useful iterations: done (5.0s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune267.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (sqrt 1.0) (cbrt (* x x)))
0.3b
(/ (sqrt 1.0) (cbrt x))
0.6b
(cbrt x)
17.9b
(cbrt (* x x))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
50×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×sqrt-prod
32×cbrt-prod
12×associate-/l*
10×associate-/r*
8×add-exp-log
6×add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg pow1/3 div-exp clear-num div-inv
Counts
4 → 134
Calls
4 calls:
8.0ms
(/ (sqrt 1.0) (cbrt (* x x)))
8.0ms
(/ (sqrt 1.0) (cbrt x))
1.0ms
(cbrt x)
4.0ms
(cbrt (* x x))

series1.1s

Counts
4 → 12
Calls
4 calls:
314.0ms
(/ (sqrt 1.0) (cbrt (* x x)))
354.0ms
(/ (sqrt 1.0) (cbrt x))
236.0ms
(cbrt x)
213.0ms
(cbrt (* x x))

simplify2.5s

Counts
146 → 146
Iterations

Useful iterations: 3 (338.0ms)

IterNodesCost
01741536
12841409
25731375
312081367
436211367
done50001367

prune536.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (0.2b 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

sample516.0ms

Algorithm
intervals
Results
262.0ms10570×body80valid