Details

Time bar (total: 12.9s)

sample29.0ms

Algorithm
intervals
Results
11.0ms300×body80valid

simplify1.3s

Counts
1 → 1

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize9.0ms

Local error

Found 1 expressions with local error:

6.3b
(* x (/ y z))

rewrite18.0ms

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:
17.0ms
(* x (/ y z))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(* x (/ y z))

simplify1.2s

Counts
35 → 35

prune107.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)))

rewrite70.0ms

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:
2.0ms
(cbrt z)
2.0ms
(cbrt z)
2.0ms
(cbrt z)
59.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series1.3s

Counts
4 → 12
Calls
4 calls:
271.0ms
(cbrt z)
267.0ms
(cbrt z)
650.0ms
(cbrt z)
67.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify938.0ms

Counts
104 → 104

prune346.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize30.0ms

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))))

rewrite176.0ms

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:
143.0ms
(* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))))
12.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
7.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

series703.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (cbrt (/ x (* (cbrt z) (cbrt z))))) (* (cbrt (/ x (* (cbrt z) (cbrt z)))) (/ y (cbrt z))))
194.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
231.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))
233.0ms
(cbrt (/ x (* (cbrt z) (cbrt z))))

simplify706.0ms

Counts
101 → 101

prune356.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize27.0ms

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)))

rewrite74.0ms

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))
40.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

series819.0ms

Counts
4 → 12
Calls
4 calls:
262.0ms
(cbrt z)
273.0ms
(cbrt z)
80.0ms
(/ (* (/ x (cbrt z)) (/ y (cbrt z))) (cbrt z))
204.0ms
(* (/ x (cbrt z)) (/ y (cbrt z)))

simplify963.0ms

Counts
143 → 143

prune485.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes377.0ms

Accuracy

-14.8% (6.3b remaining)

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

bsearch2.0ms

simplify1.7s

end0.0ms

sample1.1s

Algorithm
intervals
Results
489.0ms9617×body80valid