Details

Time bar (total: 16.0s)

sample27.0ms

Algorithm
intervals
Results
11.0ms330×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.2b

localize10.0ms

Local error

Found 1 expressions with local error:

1.2b
(/ 1.0 (* x x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/l*
cbrt-undiv div-exp
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:
17.0ms
(/ 1.0 (* x x))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ 1.0 (* x x))

simplify742.0ms

Counts
26 → 26
Iterations

Useful iterations: done (740.0ms)

IterNodesCost
045197
1112194
2615168
done5000164

prune116.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 x) x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/r*
pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 72
Calls
1 calls:
22.0ms
(/ (/ 1.0 x) x)

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (/ 1.0 x) x)

simplify1.5s

Counts
75 → 75
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0142874
1343825
21630773
done5001761

prune404.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
18.1b
(cbrt (/ (/ 1.0 x) x))
18.1b
(cbrt (/ (/ 1.0 x) x))
18.1b
(cbrt (/ (/ 1.0 x) x))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
486×times-frac
325×cbrt-prod
309×add-sqr-sqrt
253×add-cube-cbrt *-un-lft-identity
46×swap-sqr associate-*r* associate-*l*
28×div-inv
16×unswap-sqr
11×pow1
pow1/3
cbrt-div
add-exp-log
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow-prod-down pow-sqr pow-prod-up
pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 339
Calls
4 calls:
176.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
11.0ms
(cbrt (/ (/ 1.0 x) x))
11.0ms
(cbrt (/ (/ 1.0 x) x))
12.0ms
(cbrt (/ (/ 1.0 x) x))

series1.8s

Counts
4 → 12
Calls
4 calls:
519.0ms
(* (cbrt (/ (/ 1.0 x) x)) (cbrt (/ (/ 1.0 x) x)))
444.0ms
(cbrt (/ (/ 1.0 x) x))
433.0ms
(cbrt (/ (/ 1.0 x) x))
444.0ms
(cbrt (/ (/ 1.0 x) x))

simplify3.1s

Counts
351 → 351
Iterations

Useful iterations: done (3.0s)

IterNodesCost
03886564
16606128
229225828
done50005686

prune2.6s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

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)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
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)

series1.6s

Counts
4 → 12
Calls
4 calls:
415.0ms
(* (cbrt x) (cbrt x))
386.0ms
(cbrt x)
385.0ms
(cbrt x)
385.0ms
(cbrt x)

simplify2.1s

Counts
93 → 93
Iterations

Useful iterations: done (2.1s)

IterNodesCost
065554
1143443
2719423
done5000409

prune555.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes186.0ms

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

sample771.0ms

Algorithm
intervals
Results
388.0ms10601×body80valid