Details

Time bar (total: 34.0s)

sample25.0ms

Algorithm
intervals
Results
12.0ms377×body80valid

simplify25.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3809
42519
55289
69099
715739
820599
926669
1028139
1131459
1232179
1334559
1436079
1539329
1639569
done39569

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity
6×flip3-- flip--
5×associate-*r* associate-*l*
4×pow1 add-exp-log distribute-rgt-in frac-times add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 49
Calls
2 calls:
8.0ms
(+ x (* (- y z) (- t x)))
55.0ms
(* (- y z) (- t x))

series116.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(+ x (* (- y z) (- t x)))
52.0ms
(* (- y z) (- t x))

simplify956.0ms

Counts
55 → 55
Iterations

Useful iterations: done (954.0ms)

IterNodesCost
0110687
1291651
21093611
done5000609

prune213.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×associate-*l*
14×*-un-lft-identity
11×add-log-exp
10×add-cube-cbrt
8×pow1 add-exp-log associate-*r* add-cbrt-cube
6×associate-*r/
4×distribute-rgt-in sub-neg associate-+r+ flip3-- distribute-lft-in flip3-+ frac-add sum-log flip-- flip-+
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×+-commutative pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×neg-mul-1 associate-+l+ unsub-neg
Counts
4 → 90
Calls
4 calls:
7.0ms
(+ x (* (- y z) t))
47.0ms
(* (- x) (- y z))
25.0ms
(+ (+ x (* (- y z) t)) (* (- x) (- y z)))
46.0ms
(* (- y z) t)

series270.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ x (* (- y z) t))
65.0ms
(* (- x) (- y z))
86.0ms
(+ (+ x (* (- y z) t)) (* (- x) (- y z)))
44.0ms
(* (- y z) t)

simplify1.3s

Counts
102 → 102
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01601311
14651194
219801130
done50011101

prune375.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* z z) (* y z))
1.5b
(- (pow y 3) (pow z 3))
5.6b
(* (- x) (- (pow y 3) (pow z 3)))
31.8b
(/ (* (- x) (- (pow y 3) (pow z 3))) (+ (* y y) (+ (* z z) (* y z))))

rewrite291.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
32×difference-of-squares
30×*-un-lft-identity
25×associate-*r*
24×unpow-prod-down cube-prod
16×sqr-pow
11×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*l* distribute-lft-out--
8×add-log-exp
6×pow1
4×associate-*r/
3×distribute-lft-neg-in sub-neg flip3-- distribute-rgt-neg-in times-frac associate-/r* flip--
2×difference-cubes cbrt-undiv distribute-lft-neg-out distribute-rgt-in distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/
1×+-commutative neg-mul-1 distribute-rgt-out frac-2neg diff-log distribute-frac-neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 126
Calls
4 calls:
16.0ms
(+ (* z z) (* y z))
48.0ms
(- (pow y 3) (pow z 3))
111.0ms
(* (- x) (- (pow y 3) (pow z 3)))
107.0ms
(/ (* (- x) (- (pow y 3) (pow z 3))) (+ (* y y) (+ (* z z) (* y z))))

series495.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* z z) (* y z))
83.0ms
(- (pow y 3) (pow z 3))
156.0ms
(* (- x) (- (pow y 3) (pow z 3)))
212.0ms
(/ (* (- x) (- (pow y 3) (pow z 3))) (+ (* y y) (+ (* z z) (* y z))))

simplify1.8s

Counts
138 → 138
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01852204
15671938
224001725
done50011723

prune603.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x (* (* (- y z) (sqrt t)) (sqrt t))) (* (- x) (- y z)))
0.0b
(* (- x) (- y z))
0.1b
(* (- y z) (sqrt t))
0.2b
(* (* (- y z) (sqrt t)) (sqrt t))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
17×*-un-lft-identity associate-*r*
16×associate-*l*
13×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
9×add-log-exp
7×sqrt-prod
6×associate-*r/ associate-*l/
5×flip3-- pow-prod-down prod-exp flip-- cbrt-unprod
4×distribute-rgt-in sub-neg associate-+r+ distribute-lft-in frac-add
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in flip3-+ sum-log *-commutative flip-+ unswap-sqr
2×distribute-lft-out-- difference-of-squares
1×+-commutative neg-mul-1 associate-+l+ unsub-neg
Counts
4 → 106
Calls
4 calls:
41.0ms
(+ (+ x (* (* (- y z) (sqrt t)) (sqrt t))) (* (- x) (- y z)))
39.0ms
(* (- x) (- y z))
48.0ms
(* (- y z) (sqrt t))
57.0ms
(* (* (- y z) (sqrt t)) (sqrt t))

series296.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(+ (+ x (* (* (- y z) (sqrt t)) (sqrt t))) (* (- x) (- y z)))
44.0ms
(* (- x) (- y z))
94.0ms
(* (- y z) (sqrt t))
62.0ms
(* (* (- y z) (sqrt t)) (sqrt t))

simplify1.4s

Counts
118 → 118
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01911733
15611346
221611198
done50001167

prune400.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes2.0ms