Details

Time bar (total: 2.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms312×body80valid

simplify3.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize4.0ms

Local error

Found 1 expressions with local error:

5.1b
(/ (* x y) z)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 21
Calls
1 calls:
15.0ms
(/ (* x y) z)

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(/ (* x y) z)

simplify55.0ms

Counts
24 → 24

prune46.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.3b
(/ x (/ z y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
43×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/r*
6×add-exp-log add-cbrt-cube
5×div-inv
3×cbrt-undiv div-exp associate-/l*
1×pow1 frac-2neg clear-num associate-/r/ add-log-exp
Counts
1 → 70
Calls
1 calls:
9.0ms
(/ x (/ z y))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ x (/ z y))

simplify35.0ms

Counts
73 → 73

prune150.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.7b
(/ (* x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
25×add-exp-log
22×associate-/r*
18×add-cbrt-cube
9×cbrt-undiv div-exp
6×prod-exp cbrt-unprod
4×pow1 add-log-exp
3×pow1/3 div-inv
1×frac-2neg clear-num associate-/r/ associate-/l*
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
35.0ms
(/ (* x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

series645.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(cbrt y)
198.0ms
(cbrt y)
202.0ms
(cbrt y)
42.0ms
(/ (* x (* (cbrt y) (cbrt y))) (/ z (cbrt y)))

simplify59.0ms

Counts
113 → 113

prune262.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

4.7b
(* x (/ y z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv associate-*r/ div-exp pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
14.0ms
(* x (/ y z))

series21.0ms

Counts
1 → 3
Calls
1 calls:
21.0ms
(* x (/ y z))

simplify65.0ms

Counts
35 → 35

prune51.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes151.0ms

Accuracy

33.8% (3.5b remaining)

Error of 3.5b against oracle of 0.0b and baseline of 5.3b

bsearch1.0ms

simplify1.0ms

end0.0ms

sample573.0ms

Algorithm
intervals
Results
248.0ms9652×body80valid