Details

Time bar (total: 10.7s)

sample54.0ms

Algorithm
intervals
Results
22.0ms337×body80valid

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
12011
24711
313011
433511
5118111
done500111

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
cbrt-undiv associate-*r/ div-exp associate-/l/
pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
107.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

series97.0ms

Counts
1 → 3
Calls
1 calls:
97.0ms
(/ (* 4.0 (- (- x y) (* z 0.5))) z)

simplify1.1s

Counts
26 → 26
Iterations

Useful iterations: done (1.1s)

IterNodesCost
068406
1194395
2897323
done5001317

prune181.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 2 expressions with local error:

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

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
32.0ms
(/ (- x y) z)
65.0ms
(* 4.0 (/ (- x y) z))

series132.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- x y) z)
80.0ms
(* 4.0 (/ (- x y) z))

simplify1.1s

Counts
82 → 82
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0114831
1294779
21276717
done5000713

prune508.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 1 expressions with local error:

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

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity
12×associate-*r*
10×times-frac
add-cube-cbrt
associate-*r/ distribute-lft-out-- difference-of-squares
pow1 add-exp-log associate-*l* add-cbrt-cube
distribute-rgt-in sub-neg distribute-lft-in div-inv
flip3-- distribute-rgt-out-- pow-prod-down prod-exp *-commutative frac-sub flip-- cbrt-unprod sub-div add-log-exp unswap-sqr
Counts
1 → 35
Calls
1 calls:
171.0ms
(* 4.0 (- (/ x z) (/ y z)))

series76.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(* 4.0 (- (/ x z) (/ y z)))

simplify4.1s

Counts
38 → 38
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
082429
1221414
2763372
34135370
done5000370

prune234.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11111
done1111

end0.0ms

sample1.5s

Algorithm
intervals
Results
830.0ms10146×body80valid