Details

Time bar (total: 10.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms344×body80valid

simplify2.0ms

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: 0.4b

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 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:
9.0ms
(/ 1.0 (* x x))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(/ 1.0 (* x x))

simplify495.0ms

Counts
26 → 26
Iterations

Useful iterations: done (495.0ms)

IterNodesCost
045197
1112194
2615168
done5000164

prune71.0ms

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)

rewrite16.0ms

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)

series28.0ms

Counts
1 → 3
Calls
1 calls:
28.0ms
(/ (/ 1.0 x) x)

simplify1.2s

Counts
75 → 75
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0142874
1343825
21630773
done5001761

prune357.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

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)

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)
2.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
638.0ms
(* (cbrt x) (cbrt x))
235.0ms
(cbrt x)
309.0ms
(cbrt x)
259.0ms
(cbrt x)

simplify1.2s

Counts
93 → 93
Iterations

Useful iterations: done (1.2s)

IterNodesCost
065554
1143443
2719423
done5000409

prune330.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1.0 (* (cbrt (* x x)) (pow (cbrt -1) 2)))
0.3b
(/ (/ 1 x) (cbrt x))
0.6b
(cbrt x)
19.0b
(cbrt (* x x))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
84×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
46×cbrt-prod
23×add-exp-log
16×associate-/l*
11×add-cbrt-cube
10×div-exp
9×div-inv
7×associate-/r*
5×pow1 cbrt-undiv
4×expm1-log1p-u pow1/3 log1p-expm1-u add-log-exp
3×prod-exp
2×frac-2neg clear-num pow-div
1×pow-to-exp rec-exp pow-flip 1-exp pow-exp cbrt-unprod associate-/l/ inv-pow
Counts
4 → 167
Calls
4 calls:
27.0ms
(/ 1.0 (* (cbrt (* x x)) (pow (cbrt -1) 2)))
24.0ms
(/ (/ 1 x) (cbrt x))
1.0ms
(cbrt x)
4.0ms
(cbrt (* x x))

series1.5s

Counts
4 → 12
Calls
4 calls:
483.0ms
(/ 1.0 (* (cbrt (* x x)) (pow (cbrt -1) 2)))
413.0ms
(/ (/ 1 x) (cbrt x))
270.0ms
(cbrt x)
321.0ms
(cbrt (* x x))

simplify1.5s

Counts
179 → 179
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02872302
16581956
225101796
done50011762

prune742.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes224.0ms

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

sample678.0ms

Algorithm
intervals
Results
331.0ms10744×body80valid