Details

Time bar (total: 9.1s)

sample15.0ms

Algorithm
intervals
Results
6.0ms344×body80valid

simplify2.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ 1.0 (* x x))

rewrite9.0ms

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:
8.0ms
(/ 1.0 (* x x))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ 1.0 (* x x))

simplify490.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
043185
1109182
2607152
done5000152

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 x) x)

rewrite14.0ms

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

series29.0ms

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

simplify984.0ms

Counts
73 → 73
Iterations

Useful iterations: done (978.0ms)

IterNodesCost
0140862
1338813
21621761
done5001749

prune263.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

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×add-cbrt-cube 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 → 73
Calls
4 calls:
21.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
309.0ms
(* (cbrt x) (cbrt x))
280.0ms
(cbrt x)
250.0ms
(cbrt x)
249.0ms
(cbrt x)

simplify1.4s

Counts
85 → 85
Iterations

Useful iterations: done (1.4s)

IterNodesCost
061524
1139417
2735397
done5000383

prune332.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (cbrt (* x x)))
0.3b
(/ (/ 1.0 x) (cbrt x))
0.6b
(cbrt x)
19.0b
(cbrt (* x x))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
91×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
50×cbrt-prod
16×associate-/l*
13×add-exp-log
10×associate-/r*
9×div-inv
8×add-cbrt-cube
5×pow1 div-exp
4×cbrt-undiv add-log-exp
3×pow1/3
2×pow-flip frac-2neg clear-num
1×rec-exp 1-exp associate-/l/ inv-pow
Counts
4 → 168
Calls
4 calls:
8.0ms
(/ 1 (cbrt (* x x)))
12.0ms
(/ (/ 1.0 x) (cbrt x))
1.0ms
(cbrt x)
5.0ms
(cbrt (* x x))

series1.3s

Counts
4 → 12
Calls
4 calls:
251.0ms
(/ 1 (cbrt (* x x)))
405.0ms
(/ (/ 1.0 x) (cbrt x))
343.0ms
(cbrt x)
332.0ms
(cbrt (* x x))

simplify1.3s

Counts
180 → 180
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02782200
16371959
229241875
done50001868

prune741.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes158.0ms

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

sample681.0ms

Algorithm
intervals
Results
360.0ms10744×body80valid