Details

Time bar (total: 8.7s)

sample22.0ms

Algorithm
intervals
Results
8.0ms315×body80valid

simplify643.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
12.4b
(/ (* x (+ y z)) z)

rewrite66.0ms

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:
36.0ms
(* x (+ y z))
29.0ms
(/ (* x (+ y z)) z)

series96.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* x (+ y z))
53.0ms
(/ (* x (+ y z)) z)

simplify539.0ms

Counts
52 → 52

prune98.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.4b
(/ x (/ z (+ y z)))

rewrite36.0ms

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:
12.0ms
(/ z (+ y z))
18.0ms
(/ x (/ z (+ y z)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ z (+ y z))
59.0ms
(/ x (/ z (+ y z)))

simplify724.0ms

Counts
129 → 129

prune262.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
48×*-un-lft-identity
39×times-frac
30×add-sqr-sqrt add-cube-cbrt
9×add-exp-log associate-/r/ distribute-lft-out
7×cbrt-div add-cbrt-cube
4×pow1 div-inv add-log-exp
3×flip3-+ pow1/3 flip-+ associate-/l*
2×cbrt-undiv div-exp
1×frac-times frac-2neg associate-*r/ associate-*l/ prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 105
Calls
4 calls:
26.0ms
(/ x (* (cbrt (/ z (+ y z))) (cbrt (/ z (+ y z)))))
6.0ms
(cbrt (/ z (+ y z)))
6.0ms
(cbrt (/ z (+ y z)))
7.0ms
(cbrt (/ z (+ y z)))

series629.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(/ x (* (cbrt (/ z (+ y z))) (cbrt (/ z (+ y z)))))
174.0ms
(cbrt (/ z (+ y z)))
151.0ms
(cbrt (/ z (+ y z)))
177.0ms
(cbrt (/ z (+ y z)))

simplify687.0ms

Counts
117 → 117

prune399.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.9b
(* x (/ (+ y z) z))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
37.0ms
(/ (+ y z) z)
57.0ms
(* x (/ (+ y z) z))

series76.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (+ y z) z)
49.0ms
(* x (/ (+ y z) z))

simplify1.5s

Counts
74 → 74

prune178.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 2.9b

bsearch107.0ms

Steps
ItersRangePoint
10
3.2250311766964656e-137
6.018728237912873e-122
3.3308078359433153e-122
10
-4.699162497900811e-241
-7.167991824007252e-251
-1.463437553141257e-248

simplify1.2s

end0.0ms

sample999.0ms

Algorithm
intervals
Results
449.0ms9609×body80valid