Details

Time bar (total: 9.1s)

sample14.0ms

Algorithm
intervals
Results
5.0ms272×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite14.0ms

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:
11.0ms
(/ (- x y) (- z y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(/ (- x y) (- z y))

simplify1.7s

Counts
55 → 55
Iterations

Useful iterations: 4 (703.0ms)

IterNodesCost
094708
1224681
2516653
31205653
42990651
done5001651

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
57×add-sqr-sqrt
48×times-frac
25×add-cube-cbrt
20×distribute-lft-out--
14×difference-of-squares
10×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 103
Calls
3 calls:
5.0ms
(/ x (- z y))
52.0ms
(- (/ x (- z y)) (/ y (- z y)))
5.0ms
(/ y (- z y))

series134.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ x (- z y))
64.0ms
(- (/ x (- z y)) (/ y (- z y)))
43.0ms
(/ y (- z y))

simplify1.8s

Counts
112 → 112
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
01491266
12991203
26341159
313751159
434881153
done50001153

prune207.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
4.0ms
(cbrt (- z y))
20.0ms
(* (cbrt (- z y)) (cbrt (- z y)))

series541.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- z y))
140.0ms
(cbrt (- z y))
142.0ms
(cbrt (- z y))
116.0ms
(* (cbrt (- z y)) (cbrt (- z y)))

simplify2.1s

Counts
113 → 113
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
01311384
12621281
26341223
315891124
445401080
done50001080

prune287.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- z y)) (* (/ y (- (* z z) (* y y))) (+ z y)))
4.2b
(- (* z z) (* y y))
8.6b
(* (/ y (- (* z z) (* y y))) (+ z y))
17.7b
(/ y (- (* z z) (* y y)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×times-frac
24×*-un-lft-identity
22×add-cube-cbrt
18×associate-*l*
11×add-exp-log add-cbrt-cube
8×add-log-exp difference-of-squares
6×pow1
5×associate-*r/ associate-/r/ frac-sub flip-- flip-+
4×frac-times flip3-- flip3-+ associate-*r* associate-/r*
3×associate-/l*
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in diff-log div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate--r+ unswap-sqr
1×distribute-rgt-out-- frac-2neg pow-prod-down clear-num *-commutative distribute-lft-out sub-div
Counts
4 → 111
Calls
4 calls:
33.0ms
(- (/ x (- z y)) (* (/ y (- (* z z) (* y y))) (+ z y)))
3.0ms
(- (* z z) (* y y))
23.0ms
(* (/ y (- (* z z) (* y y))) (+ z y))
5.0ms
(/ y (- (* z z) (* y y)))

series261.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(- (/ x (- z y)) (* (/ y (- (* z z) (* y y))) (+ z y)))
30.0ms
(- (* z z) (* y y))
63.0ms
(* (/ y (- (* z z) (* y y))) (+ z y))
49.0ms
(/ y (- (* z z) (* y y)))

simplify892.0ms

Counts
123 → 123
Iterations

Useful iterations: 2 (385.0ms)

IterNodesCost
01872137
15862045
221561879
done50001879

prune294.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes78.0ms

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

sample333.0ms

Algorithm
intervals
Results
169.0ms8332×body80valid