Details

Time bar (total: 4.0s)

sample18.0ms

Algorithm
intervals
Results
6.0ms291×body80valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize11.0ms

Local error

Found 1 expressions with local error:

4.4b
(/ (* x y) z)

rewrite14.0ms

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:
13.0ms
(/ (* x y) z)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(/ (* x y) z)

simplify59.0ms

Counts
24 → 24

prune72.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

4.4b
(* (* x y) (/ 1 z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×associate-*r/ associate-*l* un-div-inv *-commutative div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
31.0ms
(* (* x y) (/ 1 z))

series27.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(* (* x y) (/ 1 z))

simplify28.0ms

Counts
41 → 41

prune67.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ (* x y) z)
13.0b
(cbrt (/ (* x y) z))
13.0b
(cbrt (/ (* x y) z))
13.0b
(cbrt (/ (* x y) z))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
Counts
4 → 69
Calls
4 calls:
10.0ms
(/ (* x y) z)
4.0ms
(cbrt (/ (* x y) z))
4.0ms
(cbrt (/ (* x y) z))
4.0ms
(cbrt (/ (* x y) z))

series286.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* x y) z)
87.0ms
(cbrt (/ (* x y) z))
89.0ms
(cbrt (/ (* x y) z))
89.0ms
(cbrt (/ (* x y) z))

simplify55.0ms

Counts
81 → 81

prune243.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))
0.9b
(* (* (* x y) (/ (sqrt 1) (* (cbrt z) (cbrt z)))) (/ (sqrt 1) (cbrt z)))
3.7b
(* (* x y) (/ (sqrt 1) (* (cbrt z) (cbrt z))))

rewrite269.0ms

Algorithm
rewrite-expression-head
Rules
92×add-exp-log
71×add-cbrt-cube
56×associate-*r*
49×add-sqr-sqrt
48×prod-exp cbrt-unprod
42×times-frac
41×add-cube-cbrt *-un-lft-identity
37×cbrt-prod
25×pow1
21×sqrt-prod
19×cbrt-undiv div-exp
11×pow-prod-down
8×associate-*l*
7×pow1/3
6×swap-sqr
4×associate-*r/ add-log-exp unswap-sqr
3×*-commutative
2×pow-sqr pow-prod-up div-inv
1×pow2 frac-times pow-plus associate-*l/
Counts
4 → 168
Calls
4 calls:
1.0ms
(cbrt z)
17.0ms
(* (cbrt z) (cbrt z))
190.0ms
(* (* (* x y) (/ (sqrt 1) (* (cbrt z) (cbrt z)))) (/ (sqrt 1) (cbrt z)))
50.0ms
(* (* x y) (/ (sqrt 1) (* (cbrt z) (cbrt z))))

series757.0ms

Counts
4 → 12
Calls
4 calls:
238.0ms
(cbrt z)
279.0ms
(* (cbrt z) (cbrt z))
72.0ms
(* (* (* x y) (/ (sqrt 1) (* (cbrt z) (cbrt z)))) (/ (sqrt 1) (cbrt z)))
167.0ms
(* (* x y) (/ (sqrt 1) (* (cbrt z) (cbrt z))))

simplify32.0ms

Counts
180 → 180

prune513.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes337.0ms

Accuracy

1.1% (6.1b remaining)

Error of 6.2b against oracle of 0.0b and baseline of 6.2b

bsearch1.0ms

simplify17.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
605.0ms9638×body80valid