Details

Time bar (total: 10.3s)

sample18.0ms

Algorithm
intervals
Results
7.0ms268×body80valid

simplify12.0ms

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))

rewrite49.0ms

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:
44.0ms
(/ (- x y) (- z y))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (- x y) (- z y))

simplify1.9s

Counts
55 → 55
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
094708
1229681
2740653
34097653
done5000653

prune138.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite76.0ms

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×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 200
Calls
2 calls:
23.0ms
(/ (- z y) (- x y))
32.0ms
(/ 1 (/ (- z y) (- x y)))

series201.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- z y) (- x y))
147.0ms
(/ 1 (/ (- z y) (- x y)))

simplify1.8s

Counts
206 → 206
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02493526
16673018
239942881
done50002879

prune392.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*l*
15×add-exp-log
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 distribute-rgt-in frac-times sub-neg rec-exp distribute-lft-in 1-exp associate-*r/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg pow-prod-down associate-*l/ clear-num *-commutative inv-pow
Counts
2 → 94
Calls
2 calls:
24.0ms
(/ 1 (- z y))
73.0ms
(* (/ 1 (- z y)) (- x y))

series241.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ 1 (- z y))
186.0ms
(* (/ 1 (- z y)) (- x y))

simplify1.8s

Counts
100 → 100
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01391077
1365972
22332814
done5000808

prune197.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize28.0ms

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))))

rewrite442.0ms

Algorithm
rewrite-expression-head
Rules
463×add-sqr-sqrt
290×*-un-lft-identity
251×times-frac
243×difference-of-squares
144×unpow-prod-down cube-prod
131×associate-*l*
111×distribute-lft-out--
96×sqr-pow
68×add-cube-cbrt
25×associate-/r*
12×difference-cubes
11×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1
5×associate-/l*
4×flip3-- associate-/r/ flip--
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 frac-2neg distribute-lft-in diff-log div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 374
Calls
4 calls:
9.0ms
(+ (* y y) (* z y))
28.0ms
(- (pow z 3) (pow y 3))
81.0ms
(/ (- x y) (- (pow z 3) (pow y 3)))
290.0ms
(* (/ (- x y) (- (pow z 3) (pow y 3))) (+ (* z z) (+ (* y y) (* z y))))

series397.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(+ (* y y) (* z y))
76.0ms
(- (pow z 3) (pow y 3))
103.0ms
(/ (- x y) (- (pow z 3) (pow y 3)))
180.0ms
(* (/ (- x y) (- (pow z 3) (pow y 3))) (+ (* z z) (+ (* y y) (* z y))))

simplify583.0ms

Counts
386 → 386
Iterations

Useful iterations: done (569.0ms)

IterNodesCost
03448841
113257979
done50017777

prune1.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes92.0ms

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

sample679.0ms

Algorithm
intervals
Results
263.0ms8340×body80valid