Details

Time bar (total: 24.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms331×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: 0.6b

localize6.0ms

Local error

Found 1 expressions with local error:

0.6b
(/ 1.0 (* x x))

rewrite13.0ms

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:
13.0ms
(/ 1.0 (* x x))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ 1.0 (* x x))

simplify4.1s

Counts
26 → 26
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
045197
193194
2234164
3538164
4924164
52410164
done5000164

prune57.0ms

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)

rewrite23.0ms

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:
15.0ms
(/ (/ 1.0 x) x)

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(/ (/ 1.0 x) x)

simplify5.4s

Counts
75 → 75
Iterations

Useful iterations: done (5.3s)

IterNodesCost
0142874
1305825
2632769
31471757
43803736
done5001733

prune243.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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)

rewrite33.0ms

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:
23.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
310.0ms
(* (cbrt x) (cbrt x))
273.0ms
(cbrt x)
250.0ms
(cbrt x)
210.0ms
(cbrt x)

simplify5.6s

Counts
93 → 93
Iterations

Useful iterations: done (5.6s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune283.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (cbrt (* x x))) (/ x (/ 1.0 (cbrt x))))
0.3b
(/ 1 (cbrt (* x x)))
0.6b
(cbrt x)
22.2b
(cbrt (* x x))

rewrite359.0ms

Algorithm
rewrite-expression-head
Rules
4052×times-frac
1644×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
683×cbrt-prod
142×div-inv
75×associate-/r*
47×add-exp-log
32×div-exp
21×add-cbrt-cube
19×associate-/l*
18×associate-/r/
16×cbrt-undiv
5×pow1
4×expm1-log1p-u rec-exp 1-exp log1p-expm1-u add-log-exp
3×pow1/3
2×pow-flip frac-2neg clear-num
1×associate-/l/ inv-pow
Counts
4 → 1317
Calls
4 calls:
84.0ms
(/ (/ 1 (cbrt (* x x))) (/ x (/ 1.0 (cbrt x))))
13.0ms
(/ 1 (cbrt (* x x)))
1.0ms
(cbrt x)
4.0ms
(cbrt (* x x))

series877.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ (/ 1 (cbrt (* x x))) (/ x (/ 1.0 (cbrt x))))
264.0ms
(/ 1 (cbrt (* x x)))
317.0ms
(cbrt x)
239.0ms
(cbrt (* x x))

simplify1.1s

Counts
1329 → 1329
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0210041504
done500039039

prune5.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes91.0ms

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

sample405.0ms

Algorithm
intervals
Results
196.0ms10627×body80valid