Details

Time bar (total: 14.7s)

sample74.0ms

Algorithm
intervals
Results
45.0ms335×body80valid

simplify101.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize38.0ms

Local error

Found 3 expressions with local error:

2.8b
(* (/ x y) z)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)

rewrite73.0ms

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
45.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
15.0ms
(/ (+ x 4) y)
12.0ms
(* (/ x y) z)

series141.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
73.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
38.0ms
(/ (+ x 4) y)
31.0ms
(* (/ x y) z)

simplify1.2s

Counts
91 → 91

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 3 expressions with local error:

2.8b
(* (/ x y) z)
0.0b
(- (/ (+ 4 x) y) (* (/ x y) z))
0.0b
(/ (+ 4 x) y)

rewrite115.0ms

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
60.0ms
(- (/ (+ 4 x) y) (* (/ x y) z))
28.0ms
(/ (+ 4 x) y)
25.0ms
(* (/ x y) z)

series134.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
54.0ms
(- (/ (+ 4 x) y) (* (/ x y) z))
49.0ms
(/ (+ 4 x) y)
30.0ms
(* (/ x y) z)

simplify1.2s

Counts
91 → 91

prune1.2s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

2.2b
(/ (- (+ 4 x) (* x z)) y)
0.0b
(- (+ 4 x) (* x z))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-log-exp
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×pow1 flip3-- diff-log insert-posit16 flip-- associate-/l/
1×cbrt-undiv clear-num sum-log sub-neg frac-2neg div-sub div-exp associate--l+ div-inv
Counts
2 → 46
Calls
2 calls:
Slowest
57.0ms
(- (+ 4 x) (* x z))
53.0ms
(/ (- (+ 4 x) (* x z)) y)

series101.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
68.0ms
(/ (- (+ 4 x) (* x z)) y)
34.0ms
(- (+ 4 x) (* x z))

simplify970.0ms

Counts
52 → 52

prune700.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

11.7b
(cbrt (/ x y))
11.7b
(cbrt (/ x y))
11.7b
(cbrt (/ x y))
0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))

rewrite19.0ms

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
12.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))

series377.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
95.0ms
(cbrt (/ x y))
87.0ms
(cbrt (/ x y))
81.0ms
(cbrt (/ x y))

simplify1.8s

Counts
160 → 160

prune2.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes287.0ms

Accuracy

-11.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.6b

bsearch79.0ms

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.5s10023×body80valid