Details

Time bar (total: 20.3s)

sample46.0ms

Algorithm
intervals
Results
16.0ms288×body80valid
9.0ms10×body640valid
3.0ms10×body1280valid
1.0msbody320valid
0.0msbody160valid

simplify13.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12113
24813
316013
442113
591413
6161213
7256413
8365013
9463313
10496713
done500013

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize23.0ms

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))

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
associate-*r*
flip3-- flip-- add-log-exp
add-cube-cbrt
associate-*l*
sub-neg difference-of-squares
distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
distribute-lft-out--
times-frac associate-*r/ *-commutative
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
22.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
46.0ms
(* (- y x) 6.0)
109.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series228.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(- (/ 2.0 3.0) z)
98.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
36.0ms
(* (- y x) 6.0)
63.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.5s

Counts
97 → 97
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01561335
14341273
217951163
done50021157

prune386.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log associate-*l* add-cbrt-cube
10×associate-*l/
flip3-- flip-- add-log-exp
add-cube-cbrt
difference-of-squares
frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
distribute-lft-out--
times-frac associate-*r/ *-commutative
+-commutative sub-neg flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 77
Calls
4 calls:
38.0ms
(- (/ 2.0 3.0) z)
91.0ms
(* (- (/ 2.0 3.0) z) 6.0)
21.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
153.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series280.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
78.0ms
(* (- (/ 2.0 3.0) z) 6.0)
115.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
65.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify985.0ms

Counts
89 → 89
Iterations

Useful iterations: done (981.0ms)

IterNodesCost
01481272
13961220
214801102
done50001096

prune371.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
0.2b
(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)
0.3b
(* (- y x) (- (/ 2.0 3.0) z))

rewrite280.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×flip3-- *-un-lft-identity flip--
12×associate-*l/
11×pow1 add-exp-log add-cbrt-cube
associate-*r*
frac-times add-log-exp
add-cube-cbrt
associate-*l*
difference-of-squares
associate-*r/ pow-prod-down prod-exp cbrt-unprod
sub-neg distribute-lft-out--
distribute-rgt-in distribute-lft-in times-frac *-commutative
+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 87
Calls
4 calls:
34.0ms
(- (/ 2.0 3.0) z)
25.0ms
(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
123.0ms
(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)
95.0ms
(* (- y x) (- (/ 2.0 3.0) z))

series207.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ 2.0 3.0) z)
91.0ms
(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
52.0ms
(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)
41.0ms
(* (- y x) (- (/ 2.0 3.0) z))

simplify1.2s

Counts
99 → 99
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01621489
14391433
216791293
done50011287

prune343.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))) (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))))
0.5b
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
0.5b
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
0.5b
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
flip3-+ pow1/3 flip-+
add-exp-log swap-sqr associate-*r* associate-*l*
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
51.0ms
(* (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))) (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))))
3.0ms
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
6.0ms
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
6.0ms
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))

series72.0ms