Details

Time bar (total: 12.0s)

sample26.0ms

Algorithm
intervals
Results
9.0ms301×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
185
2125
3155
4165
done165

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize6.0ms

Local error

Found 1 expressions with local error:

6.5b
(/ (* x y) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv div-exp
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
10.0ms
(/ (* x y) z)

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(/ (* x y) z)

simplify825.0ms

Counts
26 → 26
Iterations

Useful iterations: done (823.0ms)

IterNodesCost
050198
1120191
2633167
done5001161

prune137.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

6.1b
(* x (/ y z))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
add-cube-cbrt *-un-lft-identity
add-exp-log add-cbrt-cube
pow1 associate-*l*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
34.0ms
(* x (/ y z))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(* x (/ y z))

simplify3.1s

Counts
37 → 37
Iterations

Useful iterations: done (3.1s)

IterNodesCost
071289
1180276
2675246
34656246
done5001242

prune150.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.1b
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
pow-prod-down
expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv pow1/3 div-exp
associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
124.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

series1.0s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt y)
334.0ms
(cbrt y)
317.0ms
(cbrt y)
84.0ms
(* (* x (* (cbrt y) (cbrt y))) (/ (cbrt y) z))

simplify3.3s

Counts
100 → 100
Iterations

Useful iterations: done (3.3s)

IterNodesCost
01241039
1392991
22922755
done5001593

prune476.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ x (/ z y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
add-exp-log add-cbrt-cube
div-inv
cbrt-undiv div-exp associate-/l*
pow1 expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
Counts
1 → 72
Calls
1 calls:
14.0ms
(/ x (/ z y))

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(/ x (/ z y))

simplify1.0s

Counts
75 → 75
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0152892
1376841
21698789
done5001783

prune302.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes461.0ms

Accuracy

91.6% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.0b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: done (6.0ms)

IterNodesCost
02149
12645
22941
33241
done3240

end0.0ms

sample772.0ms

Algorithm
intervals
Results
343.0ms9524×body80valid