Details

Time bar (total: 9.1s)

sample13.0ms

Algorithm
intervals
Results
4.0ms238×body80valid
1.0ms7×body1280valid
0.0ms4×body320valid
0.0ms3×body640valid
0.0ms3×body160valid
0.0ms1×body2560valid

simplify139.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1127
2197
3297
4397
5507
6647
7737
8897
91117
101357
111397
121437
131467
done1467

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×*-un-lft-identity
3×fma-def add-log-exp
2×add-sqr-sqrt add-cube-cbrt
1×pow1 add-exp-log +-commutative expm1-log1p-u associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out
Counts
1 → 18
Calls
1 calls:
13.0ms
(+ x (/ (- x y) 2.0))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(+ x (/ (- x y) 2.0))

simplify905.0ms

Counts
21 → 21
Iterations

Useful iterations: 4 (246.0ms)

IterNodesCost
036194
198186
2234172
3676172
42709171
done5000171

prune57.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series833.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(* (cbrt x) (cbrt x))
202.0ms
(cbrt x)
201.0ms
(cbrt x)
198.0ms
(cbrt x)

simplify4.3s

Counts
93 → 93
Iterations

Useful iterations: 4 (818.0ms)

IterNodesCost
065554
1122495
2367423
31231405
44187400
done5000400

prune245.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))
0.6b
(cbrt x)
33.1b
(cbrt (pow x 2))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×pow1 add-exp-log expm1-log1p-u unpow-prod-down add-cbrt-cube log1p-expm1-u add-log-exp
2×pow1/3
1×fma-udef unpow2 sqr-pow
Counts
3 → 41
Calls
3 calls:
0.0ms
(fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))
1.0ms
(cbrt x)
2.0ms
(cbrt (pow x 2))

series470.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(fma (cbrt (pow x 2)) (cbrt x) (/ (- x y) 2.0))
198.0ms
(cbrt x)
199.0ms
(cbrt (pow x 2))

simplify1.0s

Counts
50 → 50
Iterations

Useful iterations: 3 (110.0ms)

IterNodesCost
082411
1149395
2318341
3717334
42431334
done5000334

prune160.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma (exp (log (cbrt (pow x 2)))) (cbrt x) (/ (- x y) 2.0))
0.6b
(cbrt x)
5.3b
(exp (log (cbrt (pow x 2))))
33.1b
(cbrt (pow x 2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt log-prod *-un-lft-identity exp-sum
6×unpow-prod-down
5×pow1 exp-prod
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×pow1/3
2×log-pow unpow2 sqr-pow
1×fma-udef rem-exp-log
Counts
4 → 67
Calls
4 calls:
0.0ms
(fma (exp (log (cbrt (pow x 2)))) (cbrt x) (/ (- x y) 2.0))
1.0ms
(cbrt x)
3.0ms
(exp (log (cbrt (pow x 2))))
1.0ms
(cbrt (pow x 2))

series663.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(fma (exp (log (cbrt (pow x 2)))) (cbrt x) (/ (- x y) 2.0))
203.0ms
(cbrt x)
196.0ms
(exp (log (cbrt (pow x 2))))
199.0ms
(cbrt (pow x 2))

simplify130.0ms

Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0124714
1199593
2384506