Details

Time bar (total: 39.3s)

sample102.0ms

Algorithm
intervals
Results
86.0ms459×body80valid

simplify4.6s

Counts
1 → 1
Iterations
IterNodes
74371
61764
5723
4268
3110
250
123
011

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.2b
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
8.5b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt associate-*l/
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
7×associate-*l*
6×associate-*r*
5×flip3-+ flip-+
4×expm1-log1p-u frac-add insert-posit16 log1p-expm1-u
3×flip3-- flip--
2×+-commutative sum-log fma-def pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×difference-of-squares
Counts
4 → 81
Calls
4 calls:
9.0ms
(+ (* x.re x.im) (* x.im x.re))
33.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
40.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
48.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series264.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(+ (* x.re x.im) (* x.im x.re))
121.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
32.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
85.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify17.0s

Counts
93 → 93
Iterations
IterNodes
38121
21858
1428
0147

prune872.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x.re x.im) x.im)
0.2b
(+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b
(* (* (- x.re x.im) x.im) (+ x.re x.im))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 *-un-lft-identity add-cbrt-cube add-exp-log
12×frac-times
10×flip3-- associate-*r* flip--
9×associate-*l* add-cube-cbrt
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×*-commutative
2×distribute-rgt-in associate-+l+ distribute-lft-in unswap-sqr
1×+-commutative sum-log fma-def distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 113
Calls
4 calls:
20.0ms
(* (- x.re x.im) x.im)
50.0ms
(+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
48.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
68.0ms
(* (* (- x.re x.im) x.im) (+ x.re x.im))

series259.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* (- x.re x.im) x.im)
104.0ms
(+ (* (* (- x.re x.im) x.im) (+ x.re x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
23.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
84.0ms
(* (* (- x.re x.im) x.im) (+ x.re x.im))

simplify1.9s

Counts
125 → 125
Iterations
IterNodes
24623
1834
0230

prune1.4s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x.re x.im) (* x.im x.re))
0.0b
(* (- x.re x.im) x.im)
0.2b
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
0.2b
(fma (* (- x.re x.im) x.im) (+ x.re x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l/ insert-posit16 log1p-expm1-u
2×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
1×+-commutative sum-log fma-def flip3-- fma-udef flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 74
Calls
4 calls:
13.0ms
(+ (* x.re x.im) (* x.im x.re))
35.0ms
(* (- x.re x.im) x.im)
42.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
1.0ms
(fma (* (- x.re x.im) x.im) (+ x.re x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

series250.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(+ (* x.re x.im) (* x.im x.re))
62.0ms
(* (- x.re x.im) x.im)
28.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
131.0ms
(fma (* (- x.re x.im) x.im) (+ x.re x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))

simplify2.7s

Counts
86 → 86
Iterations
IterNodes
33540
21003
1288
0118

prune985.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))
12.9b
(cbrt (+ (* x.re x.im) (* x.im x.re)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 99
Calls
4 calls:
79.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
9.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
8.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

series593.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (cbrt (+ (* x.re x.im) (* x.im x.re))) (cbrt (+ (* x.re x.im) (* x.im x.re))))
151.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
129.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))
159.0ms
(cbrt (+ (* x.re x.im) (* x.im x.re)))

simplify3.1s

Counts
111 → 111
Iterations
IterNodes
44820
31699
2731
1311
0125

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes172.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
214
114
010

end0.0ms

sample3.1s

Algorithm
intervals
Results
2.7s14317×body80valid