Details

Time bar (total: 22.6s)

sample49.0ms

Algorithm
intervals
Results
34.0ms315×body80valid

simplify68.0ms

Counts
1 → 1
Iterations
IterNodes
854
754
651
548
442
335
229
116
010

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize34.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
3.5b
(* (/ x y) z)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*r* associate-*l/ insert-posit16
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 82
Calls
3 calls:
23.0ms
(/ (+ x 4) y)
46.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
12.0ms
(* (/ x y) z)

series130.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (+ x 4) y)
62.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
27.0ms
(* (/ x y) z)

simplify1.9s

Counts
91 → 91
Iterations
IterNodes
33445
21054
1354
0145

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.7b
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
9×cbrt-prod pow1
8×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×associate-*l*
4×insert-posit16 add-log-exp
3×pow1/3 pow-prod-down associate-*l/
1×frac-times times-frac associate-*r* associate-*r/ *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
95.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

series963.0ms

Counts
4 → 12
Calls
4 calls:
339.0ms
(cbrt x)
327.0ms
(cbrt x)
271.0ms
(cbrt x)
26.0ms
(* (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))) (* (/ (cbrt x) (cbrt y)) z))

simplify6.1s

Counts
98 → 98
Iterations
IterNodes
311125
21872
1396
0123

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.5b
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt sqrt-prod
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1
4×rem-sqrt-square times-frac add-cbrt-cube add-exp-log insert-posit16 add-log-exp
2×sqrt-pow1 pow1/2 pow1/3 sqrt-div div-inv
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
8.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
9.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series594.0ms

Counts
4 → 12
Calls
4 calls:
211.0ms
(cbrt x)
216.0ms
(cbrt x)
77.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
89.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify4.0s

Counts
72 → 72
Iterations
IterNodes
57239
41803
3590
2241
1121
069

prune1.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize155.0ms

Local error

Found 4 expressions with local error:

2.5b
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.5b
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.5b
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
2.5b
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
20×sqrt-prod
12×add-sqr-sqrt
8×pow1 rem-sqrt-square *-un-lft-identity times-frac add-cube-cbrt
4×sqrt-pow1 add-cbrt-cube pow1/2 sqrt-div add-exp-log insert-posit16 div-inv add-log-exp
Counts
4 → 72
Calls
4 calls:
9.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
15.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
17.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
17.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

series355.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
95.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
101.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))
74.0ms
(sqrt (/ (* (cbrt x) (cbrt x)) (* (cbrt y) (cbrt y))))

simplify854.0ms

Counts
84 → 84
Iterations
IterNodes
52126
4764
3309
2150
184
051

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes361.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
222
122
018

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s10036×body80valid