Details

Time bar (total: 8.4s)

sample33.0ms

Algorithm
intervals
Results
15.0ms331×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5015
82431
7913
6489
5351
4220
3100
244
122
012

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
0.0b
(/ (- z x) y)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
6×associate-+l+
5×associate-/l*
4×add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp difference-of-squares
3×distribute-rgt-in associate-/r* distribute-lft-in div-sub
2×pow1 sub-neg associate--r- associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip--
Counts
2 → 55
Calls
2 calls:
26.0ms
(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
22.0ms
(/ (- z x) y)

series65.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(+ (* 4.0 (- 0.25 (/ (- z x) y))) 1.0)
35.0ms
(/ (- z x) y)

simplify1.8s

Counts
61 → 61
Iterations
IterNodes
done5010
32424
2690
1279
0113

prune258.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-cbrt-cube add-exp-log
7×distribute-rgt-neg-in
5×associate-/l*
4×pow1
3×associate-/r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×neg-sub0 clear-num frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative associate-+l- flip-+
Counts
2 → 76
Calls
2 calls:
53.0ms
(* 4.0 (/ (+ (- z) x) y))
31.0ms
(/ (+ (- z) x) y)

series95.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* 4.0 (/ (+ (- z) x) y))
40.0ms
(/ (+ (- z) x) y)

simplify2.3s

Counts
82 → 82
Iterations
IterNodes
done5035
33881
2923
1271
0105

prune331.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify3.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s10185×body80valid