Details

Time bar (total: 27.5s)

sample23.0ms

Algorithm
intervals
Results
11.0ms325×body80valid

simplify11.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
089
1149
2278
3628
41088
51578
61948
72378
82968
93838
104788
115378
125968
136418
146798
158088
169468
1712618
1817508
1923628
2025368
2125438
done25438

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.7b

localize7.0ms

Local error

Found 1 expressions with local error:

1.6b
(fma (- y x) (/ z t) x)

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma (- y x) (/ z t) x)

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(fma (- y x) (/ z t) x)

simplify998.0ms

Counts
13 → 13
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
023154
141154
286138
3255123
41131123
done5002123

prune70.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (- y x) (/ t z)) x)
8.0b
(/ (- y x) (/ t z))

rewrite173.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
163×*-un-lft-identity
161×add-sqr-sqrt
107×add-cube-cbrt
70×fma-def
27×distribute-lft-out-- difference-of-squares
13×associate-/r* div-inv
add-exp-log add-cbrt-cube
associate-/l*
add-log-exp
cbrt-undiv div-exp
pow1 expm1-log1p-u div-sub associate-/r/ log1p-expm1-u associate-/l/
+-commutative associate-+l- flip3-- frac-2neg flip3-+ clear-num sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 188
Calls
2 calls:
124.0ms
(+ (/ (- y x) (/ t z)) x)
23.0ms
(/ (- y x) (/ t z))

series148.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(+ (/ (- y x) (/ t z)) x)
84.0ms
(/ (- y x) (/ t z))

simplify2.0s

Counts
194 → 194
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02211932
16021810
218701704
done50011696

prune736.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y (/ t z)) (- (/ x (/ t z)) x))
0.0b
(- (/ x (/ t z)) x)
5.6b
(/ y (/ t z))
6.3b
(/ x (/ t z))

rewrite591.0ms

Algorithm
rewrite-expression-head
Rules
1278×times-frac
1159×add-sqr-sqrt
840×*-un-lft-identity
745×add-cube-cbrt
572×prod-diff
138×difference-of-squares
134×associate--r+
88×fma-neg
70×div-inv
48×distribute-lft-out--
26×associate-/r*
17×associate-/r/
14×add-exp-log add-cbrt-cube
11×add-log-exp
cbrt-undiv div-exp associate-/l*
pow1 expm1-log1p-u diff-log log1p-expm1-u
sub-neg flip3-- flip--
frac-2neg clear-num frac-sub
associate--r-
Counts
4 → 847
Calls
4 calls:
282.0ms
(- (/ y (/ t z)) (- (/ x (/ t z)) x))
117.0ms
(- (/ x (/ t z)) x)
18.0ms
(/ y (/ t z))
19.0ms
(/ x (/ t z))

series138.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(- (/ y (/ t z)) (- (/ x (/ t z)) x))
43.0ms
(- (/ x (/ t z)) x)
24.0ms
(/ y (/ t z))
32.0ms
(/ x (/ t z))

simplify3.1s

Counts
859 → 859
Iterations

Useful iterations: 2 (1.4s)

IterNodesCost
087833337
1197027081
2496523949
done500023949

prune3.5s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ (* (- y x) z) t) x)
0.0b
(* (- y x) z)
6.3b
(/ (* (- y x) z) t)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
fma-def
times-frac
pow1 associate-*l* add-log-exp
associate-*l/
expm1-log1p-u associate-*r* associate-/r* log1p-expm1-u
cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod div-inv associate-/l/
+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
26.0ms
(+ (/ (* (- y x) z) t) x)
23.0ms
(* (- y x) z)
18.0ms
(/ (* (- y x) z) t)

series155.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(+ (/ (* (- y x) z) t) x)
51.0ms
(* (- y x) z)
49.0ms
(/ (* (- y x) z) t)

simplify4.3s

Counts
79 → 79
Iterations

Useful iterations: 3 (2.2s)

IterNodesCost
0116736
1294705
21017611
34924590
done5000590

prune269.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes2.0ms