Details

Time bar (total: 8.5s)

sample13.0ms

Algorithm
intervals
Results
6.0ms339×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.7b

localize4.0ms

Local error

Found 1 expressions with local error:

0.7b
(/ 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:
8.0ms
(/ 1.0 (* x x))

series49.0ms

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

simplify639.0ms

Counts
26 → 26
Iterations

Useful iterations: done (638.0ms)

IterNodesCost
045197
1112194
2615168
done5000164

prune55.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b
(/ (/ 1.0 x) x)

rewrite26.0ms

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)

series30.0ms

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

simplify1.1s

Counts
75 → 75
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0142874
1343825
21630773
done5001761

prune239.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite30.0ms

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:
19.0ms
(* (cbrt x) (cbrt x))
2.0ms
(cbrt x)
6.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
340.0ms
(* (cbrt x) (cbrt x))
289.0ms
(cbrt x)
225.0ms
(cbrt x)
282.0ms
(cbrt x)

simplify1.1s

Counts
93 → 93
Iterations

Useful iterations: done (1.1s)

IterNodesCost
065554
1143443
2719423
done5000409

prune312.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div div-inv
Counts
4 → 85
Calls
4 calls:
2.0ms
(cbrt x)
5.0ms
(cbrt (/ 1.0 x))
5.0ms
(cbrt (/ 1.0 x))
5.0ms
(cbrt (/ 1.0 x))

series1.3s

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt x)
324.0ms
(cbrt (/ 1.0 x))
367.0ms
(cbrt (/ 1.0 x))
306.0ms
(cbrt (/ 1.0 x))

simplify981.0ms

Counts
97 → 97
Iterations

Useful iterations: 3 (255.0ms)

IterNodesCost
084788
1128751
2291703
3983691
done5001691

prune378.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes492.0ms

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

sample526.0ms

Algorithm
intervals
Results
268.0ms10726×body80valid