Details

Time bar (total: 13.8s)

sample24.0ms

Algorithm
intervals
Results
12.0ms266×body80valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12513
25813
310513
417713
525813
639813
759513
884013
9106113
10118813
11122713
12123213
done123213

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
10.9b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
236×*-un-lft-identity
200×times-frac
126×add-sqr-sqrt
86×add-cube-cbrt
44×distribute-lft-out
42×distribute-lft-out--
22×associate-/r*
20×difference-of-squares
10×associate-/l*
9×add-exp-log add-cbrt-cube
8×div-inv
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg div-sub clear-num add-log-exp
1×associate-+l- flip3-- flip3-+ associate-/r/ flip-- flip-+
Counts
2 → 175
Calls
2 calls:
109.0ms
(/ (+ (- t z) 1.0) a)
72.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series288.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (+ (- t z) 1.0) a)
229.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.6s

Counts
181 → 181
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02263548
16133316
219913192
done50003174

prune610.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (+ (- t z) 1.0))
0.6b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite262.0ms

Algorithm
rewrite-expression-head
Rules
103×*-un-lft-identity
53×add-sqr-sqrt
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative flip--
Counts
2 → 102
Calls
2 calls:
94.0ms
(/ (- y z) (+ (- t z) 1.0))
155.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series335.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(/ (- y z) (+ (- t z) 1.0))
240.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify2.5s

Counts
108 → 108
Iterations

Useful iterations: 3 (1.2s)

IterNodesCost
01441551
13771501
210921391
337231387
done50001387

prune340.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) (- y z))
0.4b
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
0.6b
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

rewrite402.0ms

Algorithm
rewrite-expression-head
Rules
446×*-un-lft-identity
392×times-frac
253×add-sqr-sqrt
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out distribute-lft-out--
41×difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip-- associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×associate-+l- pow-flip flip3-+ div-sub pow-prod-down associate-*l/ *-commutative flip-+ inv-pow
Counts
3 → 326
Calls
3 calls:
101.0ms
(/ (+ (- t z) 1.0) (- y z))
68.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
190.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

series357.0ms

Counts
3 → 9
Calls
3 calls:
79.0ms
(/ (+ (- t z) 1.0) (- y z))
120.0ms
(/ 1 (/ (+ (- t z) 1.0) (- y z)))
158.0ms
(* (/ 1 (/ (+ (- t z) 1.0) (- y z))) a)

simplify1.4s

Counts
335 → 335
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03356028
18085122
219374727
done50014627

prune818.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) (- y z))
0.6b
(/ a (/ (+ (- t z) 1.0) (- y z)))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
272×*-un-lft-identity
218×times-frac
142×add-sqr-sqrt
90×add-cube-cbrt
52×distribute-lft-out distribute-lft-out--
36×associate-/r*
26×difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×div-inv
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×associate-+l- flip3-+ div-sub flip-+
Counts
2 → 194
Calls
2 calls:
97.0ms
(/ (+ (- t z) 1.0) (- y z))
63.0ms
(/ a (/ (+ (- t z) 1.0) (- y z)))

series256.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (+ (- t z) 1.0) (- y z))
177.0ms
(/ a (/ (+ (- t z) 1.0) (- y z)))

simplify1.2s

Counts
200 → 200
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02513936
15713668
220963548
done50003526

prune628.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes2.0ms