Details

Time bar (total: 10.8s)

sample16.0ms

Algorithm
intervals
Results
5.0ms272×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2167
3187
done187

prune2.0ms

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))

rewrite33.0ms

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:
31.0ms
(/ (- x y) (- z y))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(/ (- x y) (- z y))

simplify2.1s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
096724
1229696
2562668
31380668
43737666
done5000666

prune124.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
30×times-frac
22×add-cube-cbrt
10×associate-/r*
8×distribute-lft-out-- difference-of-squares
6×add-exp-log add-cbrt-cube associate-/l*
4×associate-/r/
2×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
2 → 78
Calls
2 calls:
12.0ms
(/ x (- z y))
13.0ms
(/ y (- z y))

series89.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ x (- z y))
55.0ms
(/ y (- z y))

simplify1.6s

Counts
84 → 84
Iterations

Useful iterations: 4 (875.0ms)

IterNodesCost
0117784
1216748
2452710
3849710
42034708
done5000708

prune201.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x (- z y))) (cbrt (/ x (- z y))))
13.4b
(cbrt (/ x (- z y)))
13.4b
(cbrt (/ x (- z y)))
13.4b
(cbrt (/ x (- z y)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
171×cbrt-prod
141×add-sqr-sqrt
135×*-un-lft-identity
123×times-frac
75×add-cube-cbrt
30×swap-sqr
27×distribute-lft-out--
24×associate-*r* associate-*l*
21×difference-of-squares
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 206
Calls
4 calls:
70.0ms
(* (cbrt (/ x (- z y))) (cbrt (/ x (- z y))))
7.0ms
(cbrt (/ x (- z y)))
7.0ms
(cbrt (/ x (- z y)))
7.0ms
(cbrt (/ x (- z y)))

series807.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(* (cbrt (/ x (- z y))) (cbrt (/ x (- z y))))
191.0ms
(cbrt (/ x (- z y)))
206.0ms
(cbrt (/ x (- z y)))
193.0ms
(cbrt (/ x (- z y)))

simplify1.5s

Counts
218 → 218
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02283636
13833395
29943299
320273149
done50003095

prune694.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(- (sqrt z) (sqrt y))
0.0b
(/ (/ y (+ (sqrt z) (sqrt y))) (- (sqrt z) (sqrt y)))
0.1b
(/ y (+ (sqrt z) (sqrt y)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
398×*-un-lft-identity
369×times-frac
354×add-sqr-sqrt
245×sqrt-prod
162×add-cube-cbrt
96×difference-of-squares
68×distribute-lft-out
50×distribute-lft-out--
36×prod-diff
27×associate-/l*
26×associate-/r/
19×associate-/r*
13×add-exp-log add-cbrt-cube div-inv
11×flip3-+ flip-+
6×fma-neg add-log-exp
5×cbrt-undiv div-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×flip3-- frac-2neg clear-num flip--
1×sub-neg diff-log associate-/l/
Counts
4 → 378
Calls
4 calls:
12.0ms
(/ x (- z y))
18.0ms
(- (sqrt z) (sqrt y))
55.0ms
(/ (/ y (+ (sqrt z) (sqrt y))) (- (sqrt z) (sqrt y)))
24.0ms
(/ y (+ (sqrt z) (sqrt y)))

series637.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ x (- z y))
68.0ms
(- (sqrt z) (sqrt y))
427.0ms
(/ (/ y (+ (sqrt z) (sqrt y))) (- (sqrt z) (sqrt y)))
104.0ms
(/ y (+ (sqrt z) (sqrt y)))

simplify1.4s

Counts
390 → 390
Iterations

Useful iterations: done (1.4s)

IterNodesCost
04338876
110267420
229646949
done50006911

prune727.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes59.0ms

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
0711
done711

end0.0ms

sample428.0ms

Algorithm
intervals
Results
170.0ms8377×body80valid