Details

Time bar (total: 7.0s)

sample35.0ms

Algorithm
intervals
Results
17.0ms339×body80valid

simplify716.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
089
1148
2248
3408
4608
5808
6978
71238
81688
92428
103058
113408
123698
133898
143938
done3938

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

0.0b
(fma (- 1.0 x) y (* x z))

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 (- 1.0 x) y (* x z))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(fma (- 1.0 x) y (* x z))

simplify1.4s

Counts
13 → 13
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
021146
135143
272121
3265121
41659121
done5000121

prune64.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (- 1.0 x) y)

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
associate-*l/
expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
Counts
1 → 24
Calls
1 calls:
43.0ms
(* (- 1.0 x) y)

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(* (- 1.0 x) y)

simplify4.3s

Counts
27 → 27
Iterations

Useful iterations: 3 (374.0ms)

IterNodesCost
050203
1109194
2349178
31283174
44537174
done5000174

prune72.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* 1.0 x))
1.9b
(* (- (pow 1.0 3) (pow x 3)) y)
10.8b
(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×associate-*l*
17×*-un-lft-identity
16×difference-of-squares
12×unpow-prod-down cube-prod
10×add-exp-log add-cbrt-cube
sqr-pow
add-cube-cbrt
pow1 distribute-lft-out-- add-log-exp
associate-*l/
expm1-log1p-u times-frac associate-*r* associate-/r* log1p-expm1-u
cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
difference-cubes +-commutative distribute-rgt-out fma-def frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 86
Calls
3 calls:
9.0ms
(+ (* x x) (* 1.0 x))
104.0ms
(* (- (pow 1.0 3) (pow x 3)) y)
110.0ms
(/ (* (- (pow 1.0 3) (pow x 3)) y) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series2.0ms