Details

Time bar (total: 1.4m)

sample87.0ms

Algorithm
intervals
Results
59.0ms491×body80valid

simplify21.7s

Counts
1 → 1
Iterations
IterNodes
done5000
74471
61763
5724
4270
3110
250
123
011

prune105.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x.re x.re) (* x.im x.im))
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)
6.7b
(* (- (* x.re x.re) (* x.im x.im)) x.im)

rewrite509.0ms

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:
19.0ms
(- (* x.re x.re) (* x.im x.im))
119.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
91.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
276.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

series1.2s

Counts
4 → 12
Calls
4 calls:
310.0ms
(- (* x.re x.re) (* x.im x.im))
245.0ms
(+ (* (- (* x.re x.re) (* x.im x.im)) x.im) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
342.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
277.0ms
(* (- (* x.re x.re) (* x.im x.im)) x.im)

simplify8.6s

Counts
92 → 92
Iterations
IterNodes
done5001
21681
1436
0149

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite562.0ms

Algorithm
rewrite-expression-head
Rules
44×associate-*l/
19×flip3-+ flip-+
16×frac-add
15×add-sqr-sqrt
13×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
12×frac-times associate-*l*
10×flip3-- flip--
9×add-cube-cbrt
7×associate-*r*
6×associate-*r/ add-log-exp
5×pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u
3×*-commutative
2×unswap-sqr
1×+-commutative fma-def sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 105
Calls
4 calls:
33.0ms
(* (- x.re x.im) x.im)
137.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
65.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
310.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

series701.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (- x.re x.im) x.im)
261.0ms
(+ (* (+ x.re x.im) (* (- x.re x.im) x.im)) (* (+ (* x.re x.im) (* x.im x.re)) x.re))
59.0ms
(* (+ (* x.re x.im) (* x.im x.re)) x.re)
257.0ms
(* (+ x.re x.im) (* (- x.re x.im) x.im))

simplify6.8s

Counts
117 → 117
Iterations
IterNodes
done5000
23799
1782
0218

prune2.8s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x.im (* x.im x.im))
0.2b
(* (* (* x.im 3) x.re) x.re)
0.2b
(* (* x.im 3) x.re)

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
31×pow1
22×add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×associate-*l* pow-prod-up
3×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
1×pow2 pow-plus cube-unmult pow-sqr unswap-sqr
Counts
3 → 69
Calls
3 calls:
36.0ms
(* x.im (* x.im x.im))
118.0ms
(* (* (* x.im 3) x.re) x.re)
36.0ms
(* (* x.im 3) x.re)

series279.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* x.im (* x.im x.im))
46.0ms
(* (* (* x.im 3) x.re) x.re)
164.0ms
(* (* x.im 3) x.re)

simplify17.1s

Counts
78 → 78
Iterations
IterNodes
done5002
33978
2855
1246
095

prune1.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (* (* x.im 3) x.re) x.re)
0.2b
(* (* x.im 3) x.re)

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
6×associate-*r*
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
2 → 43
Calls
2 calls:
121.0ms
(* (* (* x.im 3) x.re) x.re)
38.0ms
(* (* x.im 3) x.re)

series160.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(* (* (* x.im 3) x.re) x.re)
56.0ms
(* (* x.im 3) x.re)

simplify11.9s

Counts
49 → 49
Iterations
IterNodes
done5000
33268
2718
1183
065

prune586.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes454.0ms

Accuracy

0% (0.2b remaining)

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

bsearch6.0ms

simplify11.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample8.6s

Algorithm
intervals
Results
7.8s14460×body80valid