Details

Time bar (total: 8.5s)

sample29.0ms

Algorithm
intervals
Results
11.0ms310×body80valid

simplify958.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1167
2227
3337
4387
5447
6487
71147
82547
95877
1013917
1131307
done50017

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.4b
(/ (* x (+ y z)) z)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
pow1 associate-*r/ associate-*r*
times-frac associate-*l* associate-/r*
cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
27.0ms
(* x (+ y z))
15.0ms
(/ (* x (+ y z)) z)

series105.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* x (+ y z))
55.0ms
(/ (* x (+ y z)) z)

simplify1.1s

Counts
52 → 52
Iterations

Useful iterations: done (1.1s)

IterNodesCost
085458
1244434
21285382
done5000376

prune109.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.9b
(/ x (/ z (+ y z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-+ flip-+
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
19.0ms
(/ z (+ y z))
19.0ms
(/ x (/ z (+ y z)))

series143.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ z (+ y z))
81.0ms
(/ x (/ z (+ y z)))

simplify961.0ms

Counts
129 → 129
Iterations

Useful iterations: 2 (271.0ms)

IterNodesCost
01871758
14811648
223731564
done50001564

prune377.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
4.1b
(* x (/ (+ y z) z))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-/l*
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
20.0ms
(/ (+ y z) z)
32.0ms
(* x (/ (+ y z) z))

series79.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (+ y z) z)
57.0ms
(* x (/ (+ y z) z))

simplify470.0ms

Counts
74 → 74
Iterations

Useful iterations: 2 (111.0ms)

IterNodesCost
097719
1251689
21057623
done5000623

prune161.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(* x (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
pow1
associate-*r*
cbrt-undiv div-exp add-log-exp
pow1/3 associate-*l*
times-frac unswap-sqr
associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
85.0ms
(* x (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))))

series1.3s

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt z)
332.0ms
(cbrt z)
221.0ms
(cbrt z)
477.0ms
(* x (/ (* (cbrt (+ y z)) (cbrt (+ y z))) (* (cbrt z) (cbrt z))))

simplify1.1s

Counts
75 → 75
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0108923
1310878
21508674
done5000631

prune320.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes104.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01225
11525
done1525

end0.0ms

sample954.0ms

Algorithm
intervals
Results
462.0ms9589×body80valid