Details

Time bar (total: 24.9s)

sample78.0ms

Algorithm
intervals
Results
56.0ms443×body80valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 5 (418.0ms)

IterNodesCost
01119
12317
25216
312216
431513
585811
6201511
done500011

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
0.3b
(* 3 (* x.im x.re))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*r* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
1.0ms
(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
41.0ms
(* 3 (* x.im x.re))

series135.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
37.0ms
(* 3 (* x.im x.re))

simplify5.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
055350
1124339
2393295
31403295
44251295
done5000295

prune108.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
0.2b
(* (* 3 x.im) x.re)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 30
Calls
2 calls:
0.0ms
(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
19.0ms
(* (* 3 x.im) x.re)

series137.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
41.0ms
(* (* 3 x.im) x.re)

simplify4.3s

Counts
36 → 36
Iterations

Useful iterations: 2 (147.0ms)

IterNodesCost
059353
1131340
2473296
31795296
done5001296

prune119.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma x.re (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) (- (pow x.im 3)))
0.3b
(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))
0.4b
(* (sqrt 3) (* x.im x.re))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×sqrt-prod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative
1×fma-udef
Counts
3 → 59
Calls
3 calls:
1.0ms
(fma x.re (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) (- (pow x.im 3)))
86.0ms
(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))
23.0ms
(* (sqrt 3) (* x.im x.re))

series378.0ms

Counts
3 → 9
Calls
3 calls:
201.0ms
(fma x.re (* (sqrt 3) (* (sqrt 3) (* x.im x.re))) (- (pow x.im 3)))
100.0ms
(* (sqrt 3) (* (sqrt 3) (* x.im x.re)))
78.0ms
(* (sqrt 3) (* x.im x.re))

simplify3.3s

Counts
68 → 68
Iterations

Useful iterations: done (3.3s)

IterNodesCost
080817
1191614
2683520
32849520
done5001518

prune242.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re)))
0.4b
(* (sqrt 3) (* x.im x.re))
0.4b
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re))))
1.0b
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

rewrite468.0ms

Algorithm
rewrite-expression-head
Rules
57×pow1
52×add-exp-log
46×cbrt-prod
43×add-sqr-sqrt
35×pow-prod-down
34×prod-exp cbrt-unprod
33×add-cbrt-cube
26×sqrt-prod
25×associate-*l*
21×add-cube-cbrt *-un-lft-identity
12×associate-*r*
11×swap-sqr
9×unswap-sqr
6×pow1/3
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 146
Calls
4 calls:
105.0ms
(* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re)))
40.0ms
(* (sqrt 3) (* x.im x.re))
277.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re))))
34.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

series597.0ms

Counts
4 → 10
Calls
4 calls:
412.0ms
(* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re)))
49.0ms
(* (sqrt 3) (* x.im x.re))
135.0ms
(* (* (cbrt (sqrt 3)) (cbrt (sqrt 3))) (* (cbrt (sqrt 3)) (* (sqrt 3) (* x.im x.re))))
0.0ms
(* (cbrt (sqrt 3)) (cbrt (sqrt 3)))

simplify2.7s

Counts
156 → 156
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01482196
13371968
213111507
done50011262

prune487.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes2.0ms