Details

Time bar (total: 5.9s)

sample35.0ms

Algorithm
intervals
Results
17.0ms343×body80valid

simplify724.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite116.0ms

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 expm1-log1p-u flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod log1p-expm1-u div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
114.0ms
(/ (- (+ x y) z) (* t 2.0))

series67.0ms

Counts
1 → 3
Calls
1 calls:
67.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify2.2s

Counts
35 → 35
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
080438
1206430
2730374
33341372
done5000372

prune88.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite370.0ms

Algorithm
rewrite-expression-head
Rules
246×*-un-lft-identity
181×times-frac
117×add-sqr-sqrt
112×add-cube-cbrt
104×prod-diff
64×distribute-lft-out
39×div-inv
15×distribute-rgt-out
13×fma-def
9×add-log-exp
8×fma-neg
5×distribute-lft-out--
3×frac-sub
2×pow1 add-exp-log expm1-log1p-u flip3-+ diff-log frac-add sum-log add-cbrt-cube flip-+ log1p-expm1-u difference-of-squares
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
2 → 170
Calls
2 calls:
296.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
51.0ms
(+ (/ y t) (/ x t))

series52.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (+ (/ y t) (/ x t)) (/ z t))
20.0ms
(+ (/ y t) (/ x t))

simplify1.7s

Counts
176 → 176
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02545747
16085121
216013783
done50002934

prune335.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ z (sqrt t))
0.1b
(/ -1 (sqrt t))
0.1b
(/ 1 (sqrt t))
0.2b
(/ (/ z (sqrt t)) (sqrt t))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
312×times-frac
186×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
168×sqrt-prod
31×associate-/l*
24×associate-/r*
17×add-exp-log
15×add-cbrt-cube
11×div-inv
7×div-exp
6×pow1 cbrt-undiv
4×expm1-log1p-u frac-2neg clear-num log1p-expm1-u add-log-exp
3×pow-flip
1×rec-exp sqrt-pow1 pow1/2 1-exp associate-/l/ inv-pow
Counts
4 → 306
Calls
4 calls:
6.0ms
(/ z (sqrt t))
7.0ms
(/ -1 (sqrt t))
8.0ms
(/ 1 (sqrt t))
34.0ms
(/ (/ z (sqrt t)) (sqrt t))

series45.0ms