Details

Time bar (total: 12.3s)

sample23.0ms

Algorithm
intervals
Results
8.0ms268×body80valid

simplify13.0ms

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

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite52.0ms

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:
47.0ms
(/ (- x y) (- z y))

series84.0ms

Counts
1 → 3
Calls
1 calls:
84.0ms
(/ (- x y) (- z y))

simplify2.3s

Counts
57 → 57
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
096724
1234696
2754668
34120668
done5000668

prune180.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.2b
(/ 1 (/ (- z y) (- x y)))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 204
Calls
2 calls:
43.0ms
(/ (- z y) (- x y))
56.0ms
(/ 1 (/ (- z y) (- x y)))

series297.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ (- z y) (- x y))
213.0ms
(/ 1 (/ (- z y) (- x y)))

simplify1.7s

Counts
210 → 210
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02533562
16743050
236432921
done50012919

prune466.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (/ 1 (- z y)) (- x y))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
51×*-un-lft-identity
34×add-cube-cbrt
32×times-frac
21×associate-*l*
18×prod-diff
15×add-exp-log
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times sub-neg rec-exp 1-exp associate-*r/ cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 116
Calls
2 calls:
16.0ms
(/ 1 (- z y))
95.0ms
(* (/ 1 (- z y)) (- x y))

series200.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ 1 (- z y))
159.0ms
(* (/ 1 (- z y)) (- x y))

simplify2.2s

Counts
122 → 122
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01911745
15251480
233691152
done50001122

prune272.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* y y) (* z y))
3.0b
(- (pow z 3) (pow y 3))
7.3b
(/ (- x y) (- (pow z 3) (pow y 3)))
38.1b
(* (/ (- x y) (- (pow z 3) (pow y 3))) (+ (* z z) (+ (* y y) (* z y))))

rewrite368.0ms

Algorithm
rewrite-expression-head
Rules
538×add-sqr-sqrt
365×*-un-lft-identity
251×times-frac
243×difference-of-squares
219×unpow-prod-down cube-prod
144×prod-diff
143×add-cube-cbrt
131×associate-*l*
121×sqr-pow
111×distribute-lft-out--
25×cube-mult unpow3 associate-/r*
12×difference-cubes fma-neg
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1
5×associate-/l*
4×expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u
3×flip3-+ associate-*r* flip-+
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative distribute-rgt-in sub-neg distribute-rgt-out fma-def frac-2neg distribute-lft-in diff-log div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 539
Calls
4 calls:
12.0ms
(+ (* y y) (* z y))
33.0ms
(- (pow z 3) (pow y 3))
61.0ms
(/ (- x y) (- (pow z 3) (pow y 3)))
222.0ms
(* (/ (- x y) (- (pow z 3) (pow y 3))) (+ (* z z) (+ (* y y) (* z y))))

series829.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(+ (* y y) (* z y))
79.0ms
(- (pow z 3) (pow y 3))
117.0ms
(/ (- x y) (- (pow z 3) (pow y 3)))
587.0ms
(* (/ (- x y) (- (pow z 3) (pow y 3))) (+ (* z z) (+ (* y y) (* z y))))

simplify848.0ms

Counts
551 → 551
Iterations

Useful iterations: done (828.0ms)

IterNodesCost
047914321
1167710707
done500010142

prune1.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes106.0ms

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
067
done67

end0.0ms

sample773.0ms

Algorithm
intervals
Results
393.0ms8340×body80valid