Details

Time bar (total: 14.7s)

sample36.0ms

Algorithm
intervals
Results
19.0ms263×body80valid

simplify10.0ms

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

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite41.0ms

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:
38.0ms
(/ (- x y) (- z y))

series92.0ms

Counts
1 → 3
Calls
1 calls:
92.0ms
(/ (- x y) (- z y))

simplify2.9s

Counts
57 → 57
Iterations

Useful iterations: 4 (1.8s)

IterNodesCost
096724
1229696
2562668
31380668
43737666
done5000666

prune136.0ms

Pruning

4 alts after pruning (4 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))

rewrite44.0ms

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:
18.0ms
(/ x (- z y))
21.0ms
(/ y (- z y))

series111.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ x (- z y))
60.0ms
(/ y (- z y))

simplify1.7s

Counts
84 → 84
Iterations

Useful iterations: 4 (728.0ms)

IterNodesCost
0117784
1216748
2452710
3849710
42034708
done5000708

prune263.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite94.0ms

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×expm1-log1p-u frac-2neg clear-num associate-/r/ log1p-expm1-u add-log-exp
2×rec-exp flip3-- 1-exp flip-- associate-/l/
1×pow-flip div-sub inv-pow
Counts
3 → 181
Calls
3 calls:
34.0ms
(/ (- z y) x)
12.0ms
(/ y (- z y))
32.0ms
(/ 1 (/ (- z y) x))

series197.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(/ (- z y) x)
52.0ms
(/ y (- z y))
108.0ms
(/ 1 (/ (- z y) x))

simplify2.2s

Counts
190 → 190
Iterations

Useful iterations: 3 (871.0ms)

IterNodesCost
02432358
15212014
210721797
323811767
done50001767

prune462.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)))

rewrite109.0ms

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:
73.0ms
(* (cbrt (/ y (- z y))) (cbrt (/ y (- z y))))
11.0ms
(cbrt (/ y (- z y)))
6.0ms
(cbrt (/ y (- z y)))
6.0ms
(cbrt (/ y (- z y)))

series1.3s

Counts
4 → 12
Calls
4 calls:
286.0ms
(* (cbrt (/ y (- z y))) (cbrt (/ y (- z y))))
344.0ms
(cbrt (/ y (- z y)))
311.0ms
(cbrt (/ y (- z y)))
319.0ms
(cbrt (/ y (- z y)))

simplify3.2s

Counts
218 → 218
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01983520
13173288
28303199
314273059
431333039
done50002914

prune929.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11113
done1113

end0.0ms

sample777.0ms

Algorithm
intervals
Results
366.0ms8368×body80valid