Details

Time bar (total: 12.9s)

sample38.0ms

Algorithm
intervals
Results
16.0ms288×body80valid
3.0ms10×body1280valid
2.0ms10×body640valid
1.0msbody320valid
0.0msbody160valid

simplify6.8s

Counts
1 → 1
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
01213
12113
25112
317212
447712
5115212
6270812
done500012

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* 6.0 (- (/ 2.0 3.0) z))
0.1b
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
126×add-sqr-sqrt
118×*-un-lft-identity
117×prod-diff
114×add-cube-cbrt
92×times-frac
41×distribute-rgt-in distribute-lft-in
13×fma-neg
10×div-inv
associate-*r*
pow1 add-exp-log add-cbrt-cube add-log-exp
difference-of-squares
expm1-log1p-u sub-neg associate-*l* log1p-expm1-u
flip3-- associate-*r/ flip-- distribute-lft-out--
diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 186
Calls
3 calls:
25.0ms
(- (/ 2.0 3.0) z)
86.0ms
(* 6.0 (- (/ 2.0 3.0) z))
0.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

series128.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(- (/ 2.0 3.0) z)
46.0ms
(* 6.0 (- (/ 2.0 3.0) z))
61.0ms
(fma (- y x) (* 6.0 (- (/ 2.0 3.0) z)) x)

simplify2.1s

Counts
195 → 195
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02574364
14553245
29302739
330282292
done50001959

prune313.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
199×add-sqr-sqrt
195×prod-diff
191×*-un-lft-identity
185×add-cube-cbrt
146×times-frac
82×distribute-rgt-in associate-+r+ distribute-lft-in
16×div-inv
13×fma-neg
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
associate-*r*
flip3-- flip-- add-log-exp
associate-*l*
sub-neg difference-of-squares
expm1-log1p-u frac-times pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
fma-def distribute-lft-out--
associate-*r/ *-commutative
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 304
Calls
4 calls:
30.0ms
(- (/ 2.0 3.0) z)
31.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
23.0ms
(* (- y x) 6.0)
88.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series208.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (/ 2.0 3.0) z)
88.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
31.0ms
(* (- y x) 6.0)
57.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify2.0s

Counts
316 → 316
Iterations

Useful iterations: done (2.0s)

IterNodesCost
04007667
19226190
229755410
done50024990

prune907.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
12.0ms
(* (cbrt x) (cbrt x))
10.0ms
(cbrt x)
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series0.0ms