Details

Time bar (total: 14.3s)

sample62.0ms

Algorithm
intervals
Results
34.0ms333×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 8 (1.6s)

IterNodesCost
01417
12517
24617
39517
415417
522417
634917
775517
8261115
done500015

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
0.0b
(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
0.1b
(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt times-frac
7×add-log-exp
5×add-exp-log frac-add add-cbrt-cube
4×associate-*l/ associate-/l/
3×pow1 flip3-+ associate-/r* flip-+ associate-/l*
2×+-commutative flip3-- sum-log flip-- distribute-lft-out
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 58
Calls
3 calls:
28.0ms
(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
126.0ms
(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
70.0ms
(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

series182.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(+ (* (- 1.0 t) 2.0) (/ 2.0 z))
72.0ms
(+ (/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t) (/ x y))
66.0ms
(/ (+ (* (- 1.0 t) 2.0) (/ 2.0 z)) t)

simplify2.4s

Counts
67 → 67
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01331266
13541207
210281119
333071101
done50021101

prune336.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
0.0b
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
0.5b
(/ 2.0 (* t z))

rewrite454.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
17×add-log-exp
8×add-exp-log frac-add add-cbrt-cube
7×sum-log distribute-lft-out
5×add-sqr-sqrt add-cube-cbrt
3×pow1 flip3-+ times-frac flip-+ associate-/l*
2×cbrt-undiv +-commutative associate-+r- associate-+r+ flip3-- diff-log div-exp flip-- distribute-lft-out--
1×associate-+l- sub-neg associate-+l+ frac-2neg prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
3 → 62
Calls
3 calls:
378.0ms
(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
65.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
8.0ms
(/ 2.0 (* t z))

series177.0ms

Counts
3 → 9
Calls
3 calls:
98.0ms
(+ (+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0)) (/ x y))
52.0ms
(+ (/ 2.0 (* t z)) (- (/ 2.0 t) 2.0))
28.0ms
(/ 2.0 (* t z))

simplify1.1s

Counts
71 → 71
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01391294
13941208
214381148
done50011106

prune283.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
0.0b
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
0.2b
(/ (/ 2.0 t) z)

rewrite729.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
59×*-un-lft-identity
45×add-sqr-sqrt add-cube-cbrt
17×add-log-exp
13×associate-/l*
8×add-exp-log frac-add add-cbrt-cube
7×sum-log distribute-lft-out
5×div-inv
3×pow1 cbrt-undiv flip3-+ div-exp associate-/r* flip-+
2×+-commutative associate-+r- associate-+r+ flip3-- diff-log flip-- distribute-lft-out--
1×associate-+l- sub-neg associate-+l+ frac-2neg clear-num associate-/l/
Counts
3 → 111
Calls
3 calls:
616.0ms
(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
88.0ms
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
17.0ms
(/ (/ 2.0 t) z)

series174.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(+ (+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0)) (/ x y))
47.0ms
(+ (/ (/ 2.0 t) z) (- (/ 2.0 t) 2.0))
40.0ms
(/ (/ 2.0 t) z)

simplify1.2s

Counts
120 → 120
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02431959
16071819
217371755
done50001723

prune392.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)
1.0b
(cbrt 2.0)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt 2.0)
2.0ms
(cbrt 2.0)
2.0ms
(cbrt 2.0)

series303.0ms

Counts
4 → 6
Calls
4 calls:
302.0ms
(cbrt t)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)
0.0ms
(cbrt 2.0)

simplify1.9s

Counts
50 → 50
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
039233
160226
2109208
3204196
4493196
51648196
done5001196

prune300.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes4.0ms