Details

Time bar (total: 25.7s)

sample60.0ms

Algorithm
intervals
Results
36.0ms477×body80valid

simplify6.1s

Counts
1 → 1
Iterations

Useful iterations: 5 (334.0ms)

IterNodesCost
01119
12317
25216
312216
431513
585811
6201511
done500011

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

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))

rewrite31.0ms

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)))
29.0ms
(* 3 (* x.im x.re))

series128.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(fma x.re (* 3 (* x.im x.re)) (- (pow x.im 3)))
23.0ms
(* 3 (* x.im x.re))

simplify5.2s

Counts
36 → 36
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
055350
1124339
2393295
31403295
44251295
done5000295

prune134.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

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)

rewrite18.0ms

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)))
17.0ms
(* (* 3 x.im) x.re)

series143.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(fma x.re (* (* 3 x.im) x.re) (- (pow x.im 3)))
34.0ms
(* (* 3 x.im) x.re)

simplify3.8s

Counts
36 → 36
Iterations

Useful iterations: 2 (127.0ms)

IterNodesCost
059353
1131340
2473296
31795296
done5001296

prune88.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.1b
(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) (- (pow x.im 3)))
0.2b
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
0.3b
(* (cbrt 3) (* x.im x.re))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
29×pow1 add-exp-log
18×pow-prod-down prod-exp cbrt-unprod
17×add-cbrt-cube
7×associate-*l*
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×cbrt-prod expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative
1×fma-udef
Counts
3 → 63
Calls
3 calls:
0.0ms
(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) (- (pow x.im 3)))
64.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
22.0ms
(* (cbrt 3) (* x.im x.re))

series342.0ms

Counts
3 → 9
Calls
3 calls:
189.0ms
(fma x.re (* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re))) (- (pow x.im 3)))
95.0ms
(* (* (cbrt 3) (cbrt 3)) (* (cbrt 3) (* x.im x.re)))
57.0ms
(* (cbrt 3) (* x.im x.re))

simplify3.9s

Counts
72 → 72
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
088987
1214953
2810655
33442530
done5000530

prune184.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
0.1b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.1b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
5.8b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
7×associate-*l*
6×associate-*r*
4×expm1-log1p-u flip3-- flip3-+ frac-add flip-- flip-+ log1p-expm1-u
2×pow-prod-down prod-exp *-commutative cbrt-unprod difference-of-squares unswap-sqr
1×+-commutative sub-neg fma-def fma-neg diff-log prod-diff sum-log
Counts
4 → 80
Calls
4 calls:
18.0ms
(- (* x.re x.re) (* x.im x.im))
45.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
28.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
54.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series260.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* x.re x.re) (* x.im x.im))
112.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
22.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
82.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify3.1s

Counts
92 → 92
Iterations

Useful iterations: done (3.1s)

IterNodesCost
01491641
14331449
218521192
done50001097

prune376.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0811
11011
done1011

end0.0ms

sample1.3s

Algorithm
intervals
Results
786.0ms14481×body80valid