Details

Time bar (total: 3.6s)

sample38.0ms

Algorithm
intervals
Results
17.0ms346×body80valid

simplify219.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2447
3987
41587
52027
done2027

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ z 1.0))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity
flip3-+ flip-+
add-sqr-sqrt
frac-times associate-*r* associate-*l*
pow1 add-exp-log add-cube-cbrt add-cbrt-cube
associate-*r/ associate-*l/ distribute-lft-out
distribute-rgt-in expm1-log1p-u distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
49.0ms
(* (+ x y) (+ z 1.0))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(* (+ x y) (+ z 1.0))

simplify1.4s

Counts
35 → 35
Iterations

Useful iterations: 2 (233.0ms)

IterNodesCost
081431
1277405
21149377
done5000377

prune96.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ x y) z) (* 1.0 (+ x y)))
0.0b
(* (+ x y) z)

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity flip3-+ associate-*l/ flip-+
pow1 add-exp-log add-cube-cbrt associate-*r/ associate-*l* frac-add add-cbrt-cube add-log-exp
associate-*r*
expm1-log1p-u associate-+r+ log1p-expm1-u
+-commutative distribute-rgt-in fma-def distribute-lft-in pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
27.0ms
(+ (* (+ x y) z) (* 1.0 (+ x y)))
24.0ms
(* (+ x y) z)

series94.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ (* (+ x y) z) (* 1.0 (+ x y)))
27.0ms
(* (+ x y) z)

simplify1.3s

Counts
49 → 49
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0101682
1313606
21311515
done5001491

prune178.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
add-exp-log
expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 103
Calls
4 calls:
81.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
5.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series8.0ms