Details

Time bar (total: 8.1s)

sample28.0ms

Algorithm
intervals
Results
10.0ms305×body80valid

simplify27.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize7.0ms

Local error

Found 1 expressions with local error:

6.4b
(/ (* x y) z)

rewrite17.0ms

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:
16.0ms
(/ (* x y) z)

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (* x y) z)

simplify936.0ms

Counts
24 → 24

prune62.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

4.8b
(* x (/ y z))

rewrite23.0ms

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:
21.0ms
(* x (/ y z))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* x (/ y z))

simplify1.1s

Counts
35 → 35

prune87.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.2b
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
12×add-sqr-sqrt
9×cbrt-prod add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×pow1
5×associate-*r*
4×cbrt-undiv div-exp add-log-exp
3×pow1/3 associate-*l*
2×times-frac unswap-sqr
1×associate-*r/ pow-prod-down *-commutative div-inv
Counts
4 → 63
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
45.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series920.0ms

Counts
4 → 12
Calls
4 calls:
261.0ms
(cbrt y)
295.0ms
(cbrt y)
270.0ms
(cbrt y)
94.0ms
(* x (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify531.0ms

Counts
75 → 75

prune270.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
3.7b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
3.7b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
3.7b
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
3×cbrt-div times-frac div-inv
Counts
4 → 53
Calls
4 calls:
1.0ms
(cbrt y)
10.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
11.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
11.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

series610.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt y)
140.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
122.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))
91.0ms
(cbrt (/ (* (cbrt y) (cbrt y)) (* (cbrt z) (cbrt z))))

simplify788.0ms

Counts
65 → 65

prune308.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes170.0ms

Accuracy

-184.7% (6.1b remaining)

Error of 6.1b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.1s

end0.0ms

sample779.0ms

Algorithm
intervals
Results
303.0ms9611×body80valid