Details

Time bar (total: 7.3s)

sample25.0ms

Algorithm
intervals
Results
11.0ms332×body80valid

simplify3.0ms

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: 0.5b

localize4.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ 1.0 (* x x))

rewrite9.0ms

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 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))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(/ 1.0 (* x x))

simplify510.0ms

Counts
24 → 24
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
043185
1109182
2607152
done5000152

prune67.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.1b
(/ (/ 1.0 x) x)

rewrite27.0ms

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 frac-2neg clear-num associate-/l/ add-log-exp
Counts
1 → 70
Calls
1 calls:
21.0ms
(/ (/ 1.0 x) x)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(/ (/ 1.0 x) x)

simplify973.0ms

Counts
73 → 73
Iterations

Useful iterations: done (970.0ms)

IterNodesCost
0140862
1338813
21621761
done5001749

prune165.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))
0.6b
(cbrt (/ 1.0 x))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×add-cube-cbrt *-un-lft-identity
16×swap-sqr associate-*r* associate-*l*
11×pow1
pow1/3 unswap-sqr
cbrt-div div-inv
add-exp-log
add-cbrt-cube 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 → 144
Calls
4 calls:
39.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
2.0ms
(cbrt (/ 1.0 x))
2.0ms
(cbrt (/ 1.0 x))
3.0ms
(cbrt (/ 1.0 x))

series1.1s

Counts
4 → 12
Calls
4 calls:
274.0ms
(* (cbrt (/ 1.0 x)) (cbrt (/ 1.0 x)))
269.0ms
(cbrt (/ 1.0 x))
366.0ms
(cbrt (/ 1.0 x))
221.0ms
(cbrt (/ 1.0 x))

simplify961.0ms

Counts
156 → 156
Iterations

Useful iterations: done (955.0ms)

IterNodesCost
01421844
12551697
212131635
done50011615

prune495.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

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*
add-cbrt-cube add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series908.0ms

Counts
4 → 12
Calls
4 calls:
256.0ms
(* (cbrt x) (cbrt x))
215.0ms
(cbrt x)
219.0ms
(cbrt x)
218.0ms
(cbrt x)

simplify1.1s

Counts
85 → 85
Iterations

Useful iterations: done (1.1s)

IterNodesCost
061524
1139417
2735397
done5000383

prune159.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes73.0ms

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

sample529.0ms

Algorithm
intervals
Results
299.0ms10579×body80valid