Details

Time bar (total: 8.7s)

sample22.0ms

Algorithm
intervals
Results
9.0ms306×body80valid

simplify689.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
13.2b
(/ (* x (+ y z)) z)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
42.0ms
(* x (+ y z))
23.0ms
(/ (* x (+ y z)) z)

series94.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* x (+ y z))
59.0ms
(/ (* x (+ y z)) z)

simplify538.0ms

Counts
52 → 52

prune114.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.1b
(/ x (/ z (+ y z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 123
Calls
2 calls:
15.0ms
(/ z (+ y z))
21.0ms
(/ x (/ z (+ y z)))

series149.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ z (+ y z))
77.0ms
(/ x (/ z (+ y z)))

simplify847.0ms

Counts
129 → 129

prune339.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ y z))
0.6b
(cbrt (+ y z))
0.6b
(cbrt (+ y z))
2.1b
(/ x (* (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ y z)) (cbrt (+ y z)))) (/ (cbrt z) (cbrt (+ y z)))))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
57×add-exp-log
31×add-cbrt-cube
24×cbrt-undiv div-exp
18×prod-exp cbrt-unprod
15×*-un-lft-identity
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt
6×cbrt-div
4×pow1 add-log-exp
3×flip3-+ times-frac pow1/3 associate-/r/ flip-+ distribute-lft-out associate-/l*
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* div-inv
Counts
4 → 84
Calls
4 calls:
4.0ms
(cbrt (+ y z))
4.0ms
(cbrt (+ y z))
4.0ms
(cbrt (+ y z))
108.0ms
(/ x (* (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ y z)) (cbrt (+ y z)))) (/ (cbrt z) (cbrt (+ y z)))))

series714.0ms

Counts
4 → 12
Calls
4 calls:
191.0ms
(cbrt (+ y z))
206.0ms
(cbrt (+ y z))
239.0ms
(cbrt (+ y z))
77.0ms
(/ x (* (/ (* (cbrt z) (cbrt z)) (* (cbrt (+ y z)) (cbrt (+ y z)))) (/ (cbrt z) (cbrt (+ y z)))))

simplify1.1s

Counts
96 → 96

prune389.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
7.0b
(/ (* x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv div-exp
1×+-commutative frac-2neg flip3-+ prod-exp clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
14.0ms
(+ (/ (* x y) z) x)
10.0ms
(/ (* x y) z)

series94.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(+ (/ (* x y) z) x)
35.0ms
(/ (* x y) z)

simplify1.5s

Counts
39 → 39

prune98.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes79.0ms

Accuracy

0% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 3.3b

bsearch0.0ms

simplify780.0ms

end0.0ms

sample885.0ms

Algorithm
intervals
Results
392.0ms9623×body80valid