Details

Time bar (total: 16.5s)

sample49.0ms

Algorithm
intervals
Results
26.0ms429×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5023
84325
71273
6494
5259
4162
398
253
122
011

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ (- x z) (/ y (+ z x))))
0.0b
(/ y (+ z x))
0.2b
(/ (- x z) (/ y (+ z x)))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
163×*-un-lft-identity
117×add-sqr-sqrt
79×add-cube-cbrt
23×distribute-lft-out
22×associate-/r*
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
10×add-cbrt-cube add-exp-log
8×flip3-+ flip-+ div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×clear-num frac-2neg div-sub associate-/l/
1×+-commutative associate-+r- sum-log flip3-- flip--
Counts
3 → 177
Calls
3 calls:
80.0ms
(+ y (/ (- x z) (/ y (+ z x))))
15.0ms
(/ y (+ z x))
40.0ms
(/ (- x z) (/ y (+ z x)))

series158.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(+ y (/ (- x z) (/ y (+ z x))))
35.0ms
(/ y (+ z x))
66.0ms
(/ (- x z) (/ y (+ z x)))

simplify1.5s

Counts
186 → 186
Iterations
IterNodes
done5001
22786
1780
0255

prune890.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (/ (- x z) (* y (/ 1 (+ z x)))))
0.0b
(/ 1 (+ z x))
0.2b
(/ (- x z) (* y (/ 1 (+ z x))))
0.2b
(* y (/ 1 (+ z x)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
45×*-un-lft-identity
35×add-sqr-sqrt
32×add-exp-log
31×times-frac
24×add-cube-cbrt
20×add-cbrt-cube
18×associate-*r*
11×div-exp
8×prod-exp distribute-lft-out associate-/l*
7×pow1
6×cbrt-undiv associate-/r/ add-log-exp
5×associate-/r*
4×cbrt-unprod
3×rec-exp flip3-+ 1-exp associate-*l* flip-+ div-inv unswap-sqr
2×clear-num frac-2neg div-sub associate-*r/ un-div-inv distribute-lft-out-- difference-of-squares associate-/l/
1×+-commutative associate-+r- sum-log flip3-- pow-prod-down *-commutative pow-flip flip-- inv-pow
Counts
4 → 125
Calls
4 calls:
29.0ms
(+ y (/ (- x z) (* y (/ 1 (+ z x)))))
17.0ms
(/ 1 (+ z x))
22.0ms
(/ (- x z) (* y (/ 1 (+ z x))))
23.0ms
(* y (/ 1 (+ z x)))

series207.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(+ y (/ (- x z) (* y (/ 1 (+ z x)))))
36.0ms
(/ 1 (+ z x))
89.0ms
(/ (- x z) (* y (/ 1 (+ z x))))
33.0ms
(* y (/ 1 (+ z x)))

simplify1.5s

Counts
137 → 137
Iterations
IterNodes
done5012
21854
1462
0176

prune498.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (/ x y) x))
0.0b
(- (+ y (* (/ x y) x)) (* (/ z y) z))
0.2b
(* (/ x y) x)
0.2b
(* (/ z y) z)

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
26×associate-*l*
20×*-un-lft-identity times-frac add-cube-cbrt
14×add-cbrt-cube add-exp-log
11×add-log-exp
8×pow1
6×associate-*r*
4×associate-*l/ prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv sum-log flip3-+ diff-log div-exp pow-prod-down *-commutative frac-sub flip-+ div-inv
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
4 → 91
Calls
4 calls:
4.0ms
(+ y (* (/ x y) x))
37.0ms
(- (+ y (* (/ x y) x)) (* (/ z y) z))
20.0ms
(* (/ x y) x)
20.0ms
(* (/ z y) z)

series128.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(+ y (* (/ x y) x))
53.0ms
(- (+ y (* (/ x y) x)) (* (/ z y) z))
20.0ms
(* (/ x y) x)
20.0ms
(* (/ z y) z)

simplify1.2s

Counts
103 → 103
Iterations
IterNodes
done5001
21587
1427
0164

prune507.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ z y)) (cbrt (/ z y)))
11.5b
(cbrt (/ z y))
11.5b
(cbrt (/ z y))
11.5b
(cbrt (/ z y))

rewrite52.0ms

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 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 → 144
Calls
4 calls:
36.0ms
(* (cbrt (/ z y)) (cbrt (/ z y)))
2.0ms
(cbrt (/ z y))
2.0ms
(cbrt (/ z y))
2.0ms
(cbrt (/ z y))

series387.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (cbrt (/ z y)) (cbrt (/ z y)))
78.0ms
(cbrt (/ z y))
89.0ms
(cbrt (/ z y))
84.0ms
(cbrt (/ z y))

simplify2.8s

Counts
156 → 156
Iterations
IterNodes
done5002
44206
31326
2637
1279
0161

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes318.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done17
117
012

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.6s13545×body80valid