Details

Time bar (total: 6.6s)

sample48.0ms

Algorithm
intervals
Results
24.0ms343×body80valid

simplify764.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1209
2419
3579
4769
51109
61669
72209
83199
94239
104799
115009
125109
done5109

prune4.0ms

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) (* t 2.0))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×add-exp-log times-frac add-cbrt-cube associate-/l*
4×distribute-lft-out--
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
1×pow1 flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
91.0ms
(/ (- (+ x y) z) (* t 2.0))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify2.4s

Counts
33 → 33
Iterations

Useful iterations: 3 (932.0ms)

IterNodesCost
078418
1201411
2703355
33190353
done5000353

prune76.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite302.0ms

Algorithm
rewrite-expression-head
Rules
29×*-un-lft-identity
16×times-frac
12×add-sqr-sqrt
9×add-log-exp
8×distribute-lft-out
7×add-cube-cbrt
5×distribute-lft-out--
3×frac-sub
2×pow1 add-exp-log flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ div-inv difference-of-squares
1×+-commutative sub-neg distribute-rgt-out flip3-- associate--l+ flip--
Counts
2 → 41
Calls
2 calls:
263.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
37.0ms
(+ (/ y t) (/ x t))

series46.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
21.0ms
(+ (/ y t) (/ x t))

simplify1.5s

Counts
47 → 47
Iterations

Useful iterations: 3 (484.0ms)

IterNodesCost
089725
1221691
2660661
32283647
done5000647

prune118.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ y (sqrt t))
0.1b
(/ z (sqrt t))
0.1b
(/ 1 (sqrt t))
0.2b
(* (/ 1 (sqrt t)) (- (+ (/ y (sqrt t)) (/ x (sqrt t))) (/ z (sqrt t))))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
114×times-frac
112×*-un-lft-identity
107×add-sqr-sqrt
69×add-cube-cbrt
66×sqrt-prod
22×associate-*l*
21×add-exp-log
20×associate-*r*
18×associate-/r*
15×add-cbrt-cube
14×distribute-lft-out--
13×distribute-lft-out
9×associate-/l*
8×pow1
6×div-exp frac-sub
5×frac-times associate-*r/ unswap-sqr
4×cbrt-undiv prod-exp div-inv add-log-exp
3×distribute-rgt-in pow-flip frac-2neg distribute-lft-in clear-num difference-of-squares
2×sub-neg rec-exp flip3-- flip3-+ 1-exp frac-add associate--l+ flip-- cbrt-unprod flip-+
1×sqrt-pow1 pow1/2 pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 202
Calls
4 calls:
11.0ms
(/ y (sqrt t))
6.0ms
(/ z (sqrt t))
7.0ms
(/ 1 (sqrt t))
1.0s
(* (/ 1 (sqrt t)) (- (+ (/ y (sqrt t)) (/ x (sqrt t))) (/ z (sqrt t))))

series170.0ms