Details

Time bar (total: 14.3s)

sample31.0ms

Algorithm
intervals
Results
21.0ms317×body80valid

simplify152.0ms

Counts
1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.8b

localize28.0ms

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))

rewrite61.0ms

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:
Slowest
33.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
17.0ms
(/ (+ x 4) y)
9.0ms
(* (/ x y) z)

series119.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
54.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
34.0ms
(* (/ x y) z)
32.0ms
(/ (+ x 4) y)

simplify1.3s

Counts
91 → 91

prune939.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize53.0ms

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)))

rewrite33.0ms

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×add-cbrt-cube insert-posit16 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 → 148
Calls
4 calls:
Slowest
21.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
3.0ms
(cbrt (/ x y))
3.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series450.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
115.0ms
(cbrt (/ x y))
108.0ms
(cbrt (/ x y))
86.0ms
(cbrt (/ x y))

simplify1.9s

Counts
160 → 160

prune2.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize31.0ms

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×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
2×cbrt-div div-inv
Counts
4 → 70
Calls
4 calls:
Slowest
1.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))
1.0ms
(cbrt x)
1.0ms
(cbrt y)

series670.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
267.0ms
(cbrt x)
240.0ms
(cbrt y)
88.0ms
(cbrt (/ x y))
75.0ms
(cbrt (/ x y))

simplify1.7s

Counts
82 → 82

prune1.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize20.0ms

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)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*r*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*l* associate-*r/ 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:
Slowest
57.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
26.0ms
(/ (+ x 4) y)
18.0ms
(* x (/ z y))

series128.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
60.0ms
(- (/ (+ x 4) y) (* x (/ z y)))
45.0ms
(/ (+ x 4) y)
24.0ms
(* x (/ z y))

simplify1.2s

Counts
91 → 91

prune810.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes130.0ms

Accuracy

0% (1.9b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.0s10146×body80valid