Details

Time bar (total: 11.1s)

sample25.0ms

Algorithm
intervals
Results
10.0ms300×body80valid

simplify1.3s

Counts
1 → 1

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 1 expressions with local error:

6.3b
(* x (/ y z))

rewrite24.0ms

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:
22.0ms
(* x (/ y z))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* x (/ y z))

simplify963.0ms

Counts
35 → 35

prune93.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.0b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 92
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
57.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series721.0ms

Counts
4 → 12
Calls
4 calls:
205.0ms
(cbrt z)
196.0ms
(cbrt z)
261.0ms
(cbrt z)
59.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify639.0ms

Counts
104 → 104

prune244.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

1.4b
(* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))))
8.8b
(cbrt (/ x (* (cbrt z) (cbrt z))))
8.8b
(cbrt (/ x (* (cbrt z) (cbrt z))))
8.8b
(cbrt (/ x (* (cbrt z) (cbrt z))))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-div
25×add-exp-log
21×cbrt-prod
17×frac-times
16×pow1
13×prod-exp add-cbrt-cube cbrt-unprod
11×associate-*r/ associate-*l/
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
8×pow-prod-down
4×add-log-exp
3×pow1/3 div-inv
2×cbrt-undiv div-exp
1×associate-*r* associate-*l* *-commutative
Counts
4 → 89
Calls
4 calls:
121.0ms
(* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))))
8.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

series646.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))))
220.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
178.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
215.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify597.0ms

Counts
101 → 101

prune350.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
2.6b
(/ (* (/ x (cbrt z)) (/ y (cbrt z))) (cbrt z))
4.3b
(* (/ x (cbrt z)) (/ y (cbrt z)))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
54×times-frac
36×cbrt-prod add-cube-cbrt *-un-lft-identity
34×add-exp-log
22×associate-*r* associate-*l*
21×add-cbrt-cube
13×cbrt-undiv div-exp
9×unswap-sqr
8×prod-exp cbrt-unprod
6×pow1 associate-/r*
4×add-log-exp
3×div-inv associate-/l/
2×frac-times pow1/3 associate-*r/ associate-*l/
1×frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
4 → 131
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
24.0ms
(/ (* (/ x (cbrt z)) (/ y (cbrt z))) (cbrt z))
57.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

series825.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(cbrt z)
307.0ms
(cbrt z)
64.0ms
(/ (* (/ x (cbrt z)) (/ y (cbrt z))) (cbrt z))
222.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

simplify998.0ms

Counts
143 → 143

prune381.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes373.0ms

Accuracy

-14.8% (6.3b remaining)

Error of 6.3b against oracle of 0.0b and baseline of 5.5b

bsearch1.0ms

simplify1.5s

end0.0ms

sample977.0ms

Algorithm
intervals
Results
444.0ms9617×body80valid