Details

Time bar (total: 7.4s)

sample93.0ms

Algorithm
intervals
Results
14.0ms317×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
055
175
2155
3195
done195

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite176.0ms

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 cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
171.0ms
(* (+ x y) z)

series140.0ms

Counts
1 → 3
Calls
1 calls:
139.0ms
(* (+ x y) z)

simplify4.2s

Counts
26 → 26
Iterations

Useful iterations: 2 (123.0ms)

IterNodesCost
047190
1111185
2377163
31143163
44461163
done5000163

prune63.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

2.1b
(- (* y y) (* x y))
2.6b
(+ (pow x 3) (pow y 3))
7.7b
(* (+ (pow x 3) (pow y 3)) z)
35.3b
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
13×add-sqr-sqrt
12×fma-def
11×add-exp-log add-cube-cbrt unpow-prod-down cube-prod add-cbrt-cube
10×distribute-lft-out
associate-*l*
add-log-exp
pow1
expm1-log1p-u flip3-+ associate-*l/ flip-+ log1p-expm1-u
times-frac associate-*r* associate-/r*
cbrt-undiv div-exp prod-exp associate-/r/ sum-cubes cbrt-unprod associate-/l/
+-commutative cube-mult sub-neg flip3-- distribute-rgt-out-- frac-2neg fma-neg diff-log unpow3 prod-diff pow-prod-down clear-num sum-log *-commutative flip-- div-inv associate-/l* unswap-sqr sqr-pow
Counts
4 → 103
Calls
4 calls:
9.0ms
(- (* y y) (* x y))
42.0ms
(+ (pow x 3) (pow y 3))
84.0ms
(* (+ (pow x 3) (pow y 3)) z)
75.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

series347.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* y y) (* x y))
95.0ms
(+ (pow x 3) (pow y 3))
99.0ms
(* (+ (pow x 3) (pow y 3)) z)
106.0ms
(/ (* (+ (pow x 3) (pow y 3)) z) (+ (* x x) (- (* y y) (* x y))))

simplify1.4s

Counts
115 → 115
Iterations

Useful iterations: 2 (375.0ms)

IterNodesCost
01461611
13771380
216441206
done50011206

prune537.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes2.0ms