Details

Time bar (total: 16.2s)

sample27.0ms

Algorithm
intervals
Results
13.0ms271×body80valid

simplify15.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:
26.0ms
(/ (- x y) (- z y))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(/ (- x y) (- z y))

simplify2.6s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.6s)

IterNodesCost
096724
1229696
2562668
31380668
43737666
done5000666

prune191.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize8.0ms

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))

rewrite271.0ms

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:
12.0ms
(/ x (- z y))
189.0ms
(- (/ x (- z y)) (/ y (- z y)))
13.0ms
(/ y (- z y))

series179.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ x (- z y))
89.0ms
(- (/ x (- z y)) (/ y (- z y)))
53.0ms
(/ y (- z y))

simplify2.4s

Counts
580 → 580
Iterations

Useful iterations: done (2.4s)

IterNodesCost
055328194
1120325295
2253119371
done500014571

prune845.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.0b
(/ y (- z y))
0.1b
(fma x (/ 1 (- z y)) (- (/ y (- z y))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt *-un-lft-identity
30×times-frac
23×add-cube-cbrt
10×associate-/r*
9×add-exp-log
8×distribute-lft-out-- difference-of-squares
7×add-cbrt-cube
6×associate-/l*
4×pow1 associate-/r/
3×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
2×cbrt-undiv flip3-- frac-2neg clear-num flip-- div-inv
1×rec-exp pow-flip 1-exp fma-udef inv-pow
Counts
3 → 92
Calls
3 calls:
15.0ms
(/ 1 (- z y))
13.0ms
(/ y (- z y))
1.0ms
(fma x (/ 1 (- z y)) (- (/ y (- z y))))

series292.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ 1 (- z y))
94.0ms
(/ y (- z y))
129.0ms
(fma x (/ 1 (- z y)) (- (/ y (- z y))))

simplify2.3s

Counts
101 → 101
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
0127979
1228889
2452807
3995807
43019805
done5001805

prune307.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.2b
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
2.5b
(sqrt (/ (- x y) (- z y)))
2.5b
(sqrt (/ (- x y) (- z y)))

rewrite243.0ms

Algorithm
rewrite-expression-head
Rules
338×*-un-lft-identity
288×add-sqr-sqrt
248×sqrt-prod
231×times-frac
108×distribute-lft-out--
94×add-cube-cbrt
80×difference-of-squares
60×swap-sqr
34×associate-*r* associate-*l*
21×pow1
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log flip3-- add-cbrt-cube flip--
7×div-inv
6×sqrt-div
5×associate-/r* pow-prod-up associate-/l*
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-prod-down pow-sqr
2×associate-/l/
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 311
Calls
4 calls:
28.0ms
(/ (- x y) (- z y))
137.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
31.0ms
(sqrt (/ (- x y) (- z y)))
23.0ms
(sqrt (/ (- x y) (- z y)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(/ (- x y) (- z y))
91.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
149.0ms
(sqrt (/ (- x y) (- z y)))
157.0ms
(sqrt (/ (- x y) (- z y)))

simplify3.8s

Counts
323 → 323
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
02686476
14844598
215474408
349164341
done50004341

prune1.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes96.0ms

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 (1.0ms)

IterNodesCost
0711
done711

end0.0ms

sample648.0ms

Algorithm
intervals
Results
409.0ms8339×body80valid