Details

Time bar (total: 17.0s)

sample34.0ms

Algorithm
intervals
Results
23.0ms317×body80valid

simplify146.0ms

Counts
1 → 1

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:

1.6b
(* (/ x y) z)
0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 120
Calls
3 calls:
Slowest
72.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
15.0ms
(/ (+ x 4) y)
11.0ms
(* (/ x y) z)

series154.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
48.0ms
(/ (+ x 4) y)
28.0ms
(* (/ x y) z)

simplify1.4s

Counts
129 → 129

prune1.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

9.6b
(cbrt (/ x y))
9.6b
(cbrt (/ x y))
9.6b
(cbrt (/ x y))
0.4b
(* (cbrt (/ x y)) (cbrt (/ x y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 156
Calls
4 calls:
Slowest
13.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))

series377.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
99.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
96.0ms
(cbrt (/ x y))
91.0ms
(cbrt (/ x y))
90.0ms
(cbrt (/ x y))

simplify2.2s

Counts
168 → 168

prune2.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

9.6b
(cbrt (/ x y))
9.6b
(cbrt (/ x y))
0.6b
(cbrt x)
0.5b
(cbrt y)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div div-inv
Counts
4 → 78
Calls
4 calls:
Slowest
2.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))
1.0ms
(cbrt y)
1.0ms
(cbrt x)

series804.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
300.0ms
(cbrt y)
296.0ms
(cbrt x)
115.0ms
(cbrt (/ x y))
93.0ms
(cbrt (/ x y))

simplify1.6s

Counts
90 → 90

prune1.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

6.8b
(* x (/ z y))
0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* x (/ z y)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*r*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*l* associate-*r/ insert-posit16 log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 120
Calls
3 calls:
Slowest
72.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
30.0ms
(/ (+ x 4) y)
19.0ms
(* x (/ z y))

series137.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
67.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
47.0ms
(/ (+ x 4) y)
24.0ms
(* x (/ z y))

simplify1.5s

Counts
129 → 129

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes180.0ms

Accuracy

0% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 1.9b

bsearch6.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.2s10146×body80valid