Details

Time bar (total: 16.1s)

sample42.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
7.0ms209×body80nan

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
1148
2188
3258
4458
5848
61258
71698
82618
95918
1020428
done50008

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (log (/ x y))) z)
0.3b
(* x (log (/ x y)))
13.9b
(log (/ x y))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
65×log-prod
45×times-frac
43×add-sqr-sqrt
41×add-cube-cbrt *-un-lft-identity
26×distribute-rgt-in distribute-lft-in associate--l+
8×add-exp-log
7×pow1
5×add-cbrt-cube div-inv add-log-exp
4×associate-*r*
3×expm1-log1p-u associate-*l* prod-diff log1p-expm1-u
2×rem-log-exp log-pow
1×sub-neg log-div flip3-- fma-neg diff-log div-exp pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
Counts
3 → 117
Calls
3 calls:
18.0ms
(- (* x (log (/ x y))) z)
28.0ms
(* x (log (/ x y)))
3.0ms
(log (/ x y))

series235.0ms

Counts
3 → 9
Calls
3 calls:
101.0ms
(- (* x (log (/ x y))) z)
77.0ms
(* x (log (/ x y)))
56.0ms
(log (/ x y))

simplify1.1s

Counts
126 → 126
Iterations

Useful iterations: done (1.1s)

IterNodesCost
02151393
15001299
215131223
done50011219

prune329.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.3b
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1 log-prod rem-log-exp
4×expm1-log1p-u div-exp prod-exp add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
1×log-div times-frac log-pow div-inv
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
290.0ms
(cbrt y)
325.0ms
(cbrt y)
277.0ms
(cbrt y)
108.0ms
(log (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify577.0ms

Counts
72 → 72
Iterations

Useful iterations: done (574.0ms)

IterNodesCost
075539
1144515
2345418
31230376
done5001373

prune345.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt y)
0.6b
(cbrt y)
0.7b
(pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1 add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow1/3
2×pow-pow pow-exp rem-cube-cbrt
1×cube-mult pow-to-exp unpow-prod-down unpow3 cube-prod pow-prod-down prod-exp cbrt-unprod sqr-pow
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
9.0ms
(pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3)

series926.0ms

Counts
4 → 12
Calls
4 calls:
280.0ms
(cbrt x)
274.0ms
(cbrt y)
267.0ms
(cbrt y)
104.0ms
(pow (* 2 (log (/ (cbrt x) (cbrt y)))) 3)

simplify4.0s

Counts
75 → 75
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
097535
1234482
2824436
34833427
done5000427

prune437.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
3.7b
(log (/ x (cbrt y)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
22×log-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac
7×add-exp-log
5×pow1
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×rem-log-exp
1×log-div div-exp log-pow div-inv
Counts
4 → 74
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
6.0ms
(log (/ x (cbrt y)))

series909.0ms

Counts
4 → 12
Calls
4 calls:
234.0ms
(cbrt y)
203.0ms
(cbrt y)
274.0ms
(cbrt y)
197.0ms
(log (/ x (cbrt y)))

simplify959.0ms

Counts
86 → 86
Iterations

Useful iterations: done (956.0ms)

IterNodesCost
0122639
1239598
2591555
32436533
done5001530

prune294.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01624
12024
done2024

end0.0ms

sample1.7s

Algorithm
intervals
Results
418.0ms8030×body80valid
316.0ms7897×body80nan