Details

Time bar (total: 33.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms266×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
112123
216123
318123
done18123

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
associate-/r* associate-/l*
add-cbrt-cube add-exp-log
flip3-- associate-/r/ flip-- associate-/l/
expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg div-sub div-exp log1p-expm1-u div-inv add-log-exp
Counts
1 → 54
Calls
1 calls:
30.0ms
(/ (- x y) (- z y))

series78.0ms

Counts
1 → 3
Calls
1 calls:
78.0ms
(/ (- x y) (- z y))

simplify2.6s

Counts
57 → 57
Iterations

Useful iterations: 2 (197.0ms)

IterNodesCost
09615256
123414332
275714252
3436614252
done500014252

prune312.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite312.0ms

Algorithm
rewrite-expression-head
Rules
712×*-un-lft-identity
702×add-sqr-sqrt
693×times-frac
441×prod-diff
412×add-cube-cbrt
149×distribute-lft-out--
143×difference-of-squares
94×associate-/r/
48×flip3-- flip--
47×div-inv
21×fma-neg
10×associate-/r*
add-cbrt-cube add-exp-log
associate-/l*
add-log-exp
expm1-log1p-u pow1 distribute-rgt-out-- log1p-expm1-u
cbrt-undiv clear-num frac-2neg div-exp
sub-neg diff-log frac-sub sub-div
Counts
3 → 571
Calls
3 calls:
179.0ms
(- (/ x (- z y)) (/ y (- z y)))
17.0ms
(/ x (- z y))
18.0ms
(/ y (- z y))

series291.0ms

Counts
3 → 9
Calls
3 calls:
135.0ms
(- (/ x (- z y)) (/ y (- z y)))
63.0ms
(/ x (- z y))
92.0ms
(/ y (- z y))

simplify3.2s

Counts
580 → 580
Iterations

Useful iterations: 2 (1.7s)

IterNodesCost
0553435298
11252380674
23855336101
done5000336101

prune2.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
0.0b
(/ x (- z y))
0.0b
(/ (- z y) y)
0.3b
(/ 1 (/ (- z y) y))

rewrite476.0ms

Algorithm
rewrite-expression-head
Rules
3255×times-frac
2463×add-sqr-sqrt
2446×*-un-lft-identity
1634×add-cube-cbrt
1302×prod-diff
408×difference-of-squares
403×distribute-lft-out--
155×div-inv
150×associate-/r/
66×flip3-- flip--
27×associate-/r*
21×fma-neg
19×add-exp-log
13×add-cbrt-cube
11×associate-/l*
div-exp
add-log-exp
pow1 cbrt-undiv
expm1-log1p-u log1p-expm1-u
clear-num frac-2neg
rec-exp 1-exp associate-/l/
sub-neg diff-log div-sub frac-sub pow-flip inv-pow
Counts
4 → 1533
Calls
4 calls:
206.0ms
(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
17.0ms
(/ x (- z y))
29.0ms
(/ (- z y) y)
21.0ms
(/ 1 (/ (- z y) y))

series271.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(- (/ x (- z y)) (/ 1 (/ (- z y) y)))
56.0ms
(/ x (- z y))
29.0ms
(/ (- z y) y)
57.0ms
(/ 1 (/ (- z y) y))

simplify3.5s

Counts
1545 → 1545
Iterations

Useful iterations: done (2.9s)

IterNodesCost
014261507648
133211139327
done50011062552

prune9.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- z y) x)
0.0b
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
0.0b
(/ y (- z y))
0.7b
(/ 1 (/ (- z y) x))

rewrite514.0ms

Algorithm
rewrite-expression-head
Rules
3342×times-frac
2513×add-sqr-sqrt
2496×*-un-lft-identity
1672×add-cube-cbrt
1302×prod-diff
414×difference-of-squares
409×distribute-lft-out--
158×div-inv
149×associate-/r/
65×flip3-- flip--
62×fma-neg
27×associate-/r*
19×add-exp-log
13×add-cbrt-cube
11×associate-/l*
div-exp
add-log-exp
pow1 cbrt-undiv
expm1-log1p-u log1p-expm1-u
clear-num frac-2neg
rec-exp 1-exp associate-/l/
sub-neg diff-log div-sub frac-sub pow-flip inv-pow
Counts
4 → 1574
Calls
4 calls:
15.0ms
(/ (- z y) x)
216.0ms
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
13.0ms
(/ y (- z y))
22.0ms
(/ 1 (/ (- z y) x))

series487.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (- z y) x)
233.0ms
(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
79.0ms
(/ y (- z y))
121.0ms
(/ 1 (/ (- z y) x))

simplify2.9s

Counts
1586 → 1586
Iterations

Useful iterations: done (2.5s)

IterNodesCost
012941392301
128891146684
done50001057661

prune5.9s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
09204
111204
done11204

end0.0ms

sample604.0ms

Algorithm
intervals
Results
310.0ms8348×body80valid