Details

Time bar (total: 20.4s)

sample34.0ms

Algorithm
intervals
Results
10.0ms234×body80valid
8.0ms3×body2560valid
1.0ms8×body640valid
1.0ms4×body1280valid
1.0ms5×body320valid
0.0ms2×body160valid

simplify233.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3297
4407
5457
6497
7587
8747
9907
101017
111037
121077
131087
done1087

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:
24.0ms
(+ x (/ (- x y) 2.0))

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(+ x (/ (- x y) 2.0))

simplify2.4s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
036194
198186
2263172
3750172
43556171
done5000171

prune78.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite186.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
52×prod-diff
50×add-sqr-sqrt
45×add-cube-cbrt
37×times-frac
16×distribute-lft-out
9×add-log-exp
4×fma-neg div-inv
3×fma-def
2×pow1 add-exp-log expm1-log1p-u flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+ log1p-expm1-u distribute-lft-out-- difference-of-squares
1×+-commutative sub-neg flip3-- associate--l+ flip--
Counts
2 → 95
Calls
2 calls:
16.0ms
(+ x (/ x 2.0))
160.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

series118.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ x (/ x 2.0))
70.0ms
(- (+ x (/ x 2.0)) (/ y 2.0))

simplify5.1s

Counts
101 → 101
Iterations

Useful iterations: 3 (2.7s)

IterNodesCost
01862913
14542599
212711877
349931424
done50001424

prune230.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite16.0ms

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:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
350.0ms
(* (cbrt x) (cbrt x))
293.0ms
(cbrt x)
295.0ms
(cbrt x)
294.0ms
(cbrt x)

simplify5.2s

Counts
93 → 93
Iterations

Useful iterations: done (5.2s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune446.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
0.6b
(cbrt (+ x (/ x 2.0)))
0.6b
(cbrt (+ x (/ x 2.0)))
0.6b
(cbrt (+ x (/ x 2.0)))

rewrite170.0ms

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
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
135.0ms
(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
14.0ms
(cbrt (+ x (/ x 2.0)))
9.0ms
(cbrt (+ x (/ x 2.0)))
9.0ms
(cbrt (+ x (/ x 2.0)))

series1.4s

Counts
4 → 12
Calls
4 calls:
378.0ms
(* (cbrt (+ x (/ x 2.0))) (cbrt (+ x (/ x 2.0))))
305.0ms
(cbrt (+ x (/ x 2.0)))
352.0ms
(cbrt (+ x (/ x 2.0)))
339.0ms
(cbrt (+ x (/ x 2.0)))

simplify3.0s

Counts
115 → 115
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0941680
11841527
24401441
310091312
431061286
done50011235

prune451.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

regimes2.0ms