Details

Time bar (total: 13.1s)

sample15.0ms

Algorithm
intervals
Results
7.0ms263×body80valid

simplify7.0ms

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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 frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
34.0ms
(/ (- x y) (- z y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (- x y) (- z y))

simplify2.3s

Counts
55 → 55
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
094708
1224681
2544653
31303653
43344651
done5002651

prune133.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite38.0ms

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 flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
2 → 74
Calls
2 calls:
17.0ms
(/ x (- z y))
17.0ms
(/ y (- z y))

series115.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ x (- z y))
71.0ms
(/ y (- z y))

simplify1.6s

Counts
80 → 80
Iterations

Useful iterations: 4 (779.0ms)

IterNodesCost
0113760
1211724
2448686
3826686
41956684
done5001684

prune162.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
119×add-sqr-sqrt *-un-lft-identity
79×add-cube-cbrt
27×associate-/r*
20×distribute-lft-out-- difference-of-squares
18×add-exp-log
12×add-cbrt-cube
11×associate-/l*
9×div-exp
7×div-inv
5×cbrt-undiv
4×pow1
3×frac-2neg clear-num associate-/r/ add-log-exp
2×rec-exp flip3-- 1-exp flip-- associate-/l/
1×pow-flip div-sub inv-pow
Counts
3 → 175
Calls
3 calls:
22.0ms
(/ (- z y) x)
13.0ms
(/ y (- z y))
19.0ms
(/ 1 (/ (- z y) x))

series155.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (- z y) x)
50.0ms
(/ y (- z y))
75.0ms
(/ 1 (/ (- z y) x))

simplify2.4s

Counts
184 → 184
Iterations

Useful iterations: 3 (838.0ms)

IterNodesCost
02372318
15121975
210471762
323001732
done50001732

prune305.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (/ y (- z y))) (cbrt (/ y (- z y))))
3.7b
(cbrt (/ y (- z y)))
3.7b
(cbrt (/ y (- z y)))
3.7b
(cbrt (/ y (- z y)))

rewrite112.0ms

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×add-cbrt-cube 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 → 198
Calls
4 calls:
76.0ms
(* (cbrt (/ y (- z y))) (cbrt (/ y (- z y))))
8.0ms
(cbrt (/ y (- z y)))
6.0ms
(cbrt (/ y (- z y)))
11.0ms
(cbrt (/ y (- z y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
212.0ms
(* (cbrt (/ y (- z y))) (cbrt (/ y (- z y))))
266.0ms
(cbrt (/ y (- z y)))
272.0ms
(cbrt (/ y (- z y)))
264.0ms
(cbrt (/ y (- z y)))

simplify2.8s

Counts
210 → 210
Iterations

Useful iterations: done (2.8s)

IterNodesCost
01943450
13093224
28163135
313753003
430312983
done50002860

prune773.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11113
done1113

end0.0ms

sample892.0ms

Algorithm
intervals
Results
616.0ms8368×body80valid