Details

Time bar (total: 11.5s)

sample14.0ms

Algorithm
intervals
Results
5.0ms272×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u frac-2neg div-sub div-exp clear-num log1p-expm1-u div-inv add-log-exp
Counts
1 → 54
Calls
1 calls:
12.0ms
(/ (- x y) (- z y))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(/ (- x y) (- z y))

simplify2.2s

Counts
57 → 57
Iterations

Useful iterations: 4 (998.0ms)

IterNodesCost
096724
1229696
2532668
31280668
43368666
done5000666

prune140.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

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*
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×add-log-exp
3×pow1 expm1-log1p-u distribute-rgt-out-- log1p-expm1-u
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 571
Calls
3 calls:
5.0ms
(/ x (- z y))
79.0ms
(- (/ x (- z y)) (/ y (- z y)))
6.0ms
(/ y (- z y))

series158.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ x (- z y))
77.0ms
(- (/ x (- z y)) (/ y (- z y)))
49.0ms
(/ y (- z y))

simplify1.5s

Counts
580 → 580
Iterations

Useful iterations: done (1.5s)

IterNodesCost
055328194
1119225295
2278119875
done500019770

prune1.1s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(- (/ x (- z y)) (log1p (expm1 (/ y (- z y)))))
0.0b
(/ y (- z y))
0.0b
(log1p (expm1 (/ y (- z y))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
123×*-un-lft-identity
91×times-frac
81×add-cube-cbrt
63×prod-diff
22×difference-of-squares
21×fma-neg distribute-lft-out--
12×associate-/r/
10×associate-/r*
8×add-exp-log add-cbrt-cube
7×flip3-- flip-- add-log-exp
6×div-inv associate-/l*
4×pow1 expm1-log1p-u log1p-expm1-u
2×cbrt-undiv log1p-udef frac-2neg diff-log div-exp clear-num
1×sub-neg log1p-expm1
Counts
4 → 191
Calls
4 calls:
6.0ms
(/ x (- z y))
44.0ms
(- (/ x (- z y)) (log1p (expm1 (/ y (- z y)))))
6.0ms
(/ y (- z y))
0.0ms
(log1p (expm1 (/ y (- z y))))

series341.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x (- z y))
120.0ms
(- (/ x (- z y)) (log1p (expm1 (/ y (- z y)))))
61.0ms
(/ y (- z y))
123.0ms
(log1p (expm1 (/ y (- z y))))

simplify2.0s

Counts
203 → 203
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02245779
14453461
210462875
334572708
done50012706

prune438.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
21.0ms
(* (cbrt (- z y)) (cbrt (- z y)))

series742.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(cbrt (- z y))
198.0ms
(cbrt (- z y))
191.0ms
(cbrt (- z y))
155.0ms
(* (cbrt (- z y)) (cbrt (- z y)))

simplify1.7s

Counts
121 → 121
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01351434
12711332
26661262
316921156
done50001116

prune364.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
done913

end0.0ms

sample346.0ms

Algorithm
intervals
Results
169.0ms8332×body80valid