Details

Time bar (total: 3.8m)

sample6.8s

Algorithm
intervals
Results
6.5s1422×body10240exit
133.0ms256×body80valid

simplify3.7s

Counts
1 → 1
Iterations
IterNodes
66248
5982
4286
3142
297
169
019

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize75.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (atan2 x.im x.re) y.im)
27.8b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
27.8b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
36.1b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log sqrt-prod
4×sqrt-div insert-posit16 add-log-exp
3×associate-*r* associate-*l*
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+
1×sin-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 60
Calls
4 calls:
5.0ms
(* (atan2 x.im x.re) y.im)
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
20.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series344.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (atan2 x.im x.re) y.im)
48.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
61.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
208.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

simplify882.0ms

Counts
72 → 72
Iterations
IterNodes
42002
31161
2687
1396
0102

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 12.0b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (- x.re)) y.im)
0.3b
(* (atan2 x.im x.re) y.im)
27.8b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
36.1b
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×pow1
9×*-un-lft-identity add-cube-cbrt
8×add-cbrt-cube add-exp-log
7×associate-*l*
6×associate-*r*
4×insert-posit16 add-log-exp
3×sqrt-prod
2×sqrt-div pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sin-sum log-pow flip-+
Counts
4 → 64
Calls
4 calls:
13.0ms
(* (log (- x.re)) y.im)
11.0ms
(* (atan2 x.im x.re) y.im)
12.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
26.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (log (- x.re)) y.im)
18.0ms
(* (atan2 x.im x.re) y.im)
53.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
195.0ms
(sin (+ (* (log (- x.re)) y.im) (* (atan2 x.im x.re) y.re)))

simplify2.0s

Counts
76 → 76
Iterations
IterNodes
44385
31662
2901
1526
0134

prune1.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 5.9b

localize129.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (log (- x.re)) y.im))
0.6b
(cbrt (* (log (- x.re)) y.im))
27.8b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
36.1b
(sin (+ (* (* (cbrt (* (log (- x.re)) y.im)) (cbrt (* (log (- x.re)) y.im))) (cbrt (* (log (- x.re)) y.im))) (* (atan2 x.im x.re) y.re)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×sqrt-prod
2×cbrt-prod pow1/3 sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sin-sum flip-+
Counts
4 → 45
Calls
4 calls:
3.0ms
(cbrt (* (log (- x.re)) y.im))
3.0ms
(cbrt (* (log (- x.re)) y.im))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
98.0ms
(sin (+ (* (* (cbrt (* (log (- x.re)) y.im)) (cbrt (* (log (- x.re)) y.im))) (cbrt (* (log (- x.re)) y.im))) (* (atan2 x.im x.re) y.re)))

series661.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt (* (log (- x.re)) y.im))
194.0ms
(cbrt (* (log (- x.re)) y.im))
61.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
235.0ms
(sin (+ (* (* (cbrt (* (log (- x.re)) y.im)) (cbrt (* (log (- x.re)) y.im))) (cbrt (* (log (- x.re)) y.im))) (* (atan2 x.im x.re) y.re)))

simplify899.0ms

Counts
57 → 57
Iterations
IterNodes
42205
31121
2640
1432
0113

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.9b

localize106.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (log (- x.re)) y.im))
0.6b
(cbrt (* (log (- x.re)) y.im))
27.8b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
36.1b
(sin (+ (* (* (cbrt (* (log (- x.re)) y.im)) (* (* (cbrt (cbrt (* (log (- x.re)) y.im))) (cbrt (cbrt (* (log (- x.re)) y.im)))) (cbrt (cbrt (* (log (- x.re)) y.im))))) (cbrt (* (log (- x.re)) y.im))) (* (atan2 x.im x.re) y.re)))

rewrite775.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
5×pow1 *-un-lft-identity add-cube-cbrt
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×sqrt-prod
2×cbrt-prod pow1/3 sqrt-div
1×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 sin-sum flip-+
Counts
4 → 45
Calls
4 calls:
3.0ms
(cbrt (* (log (- x.re)) y.im))
3.0ms
(cbrt (* (log (- x.re)) y.im))
6.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
762.0ms
(sin (+ (* (* (cbrt (* (log (- x.re)) y.im)) (* (* (cbrt (cbrt (* (log (- x.re)) y.im))) (cbrt (cbrt (* (log (- x.re)) y.im)))) (cbrt (cbrt (* (log (- x.re)) y.im))))) (cbrt (* (log (- x.re)) y.im))) (* (atan2 x.im x.re) y.re)))

series557.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt (* (log (- x.re)) y.im))
162.0ms
(cbrt (* (log (- x.re)) y.im))
40.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
180.0ms
(sin (+ (* (* (cbrt (* (log (- x.re)) y.im)) (* (* (cbrt (cbrt (* (log (- x.re)) y.im))) (cbrt (cbrt (* (log (- x.re)) y.im)))) (cbrt (cbrt (* (log (- x.re)) y.im))))) (cbrt (* (log (- x.re)) y.im))) (* (atan2 x.im x.re) y.re)))

simplify1.0s

Counts
57 → 57
Iterations
IterNodes
42347
31187
2669
1447
0116

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.9b

regimes517.0ms

Accuracy

53% (5.2b remaining)

Error of 10.1b against oracle of 4.9b and baseline of 15.9b

bsearch3.0ms

simplify8.0ms

Iterations
IterNodes
242
142
031

end0.0ms

sample3.3m

Algorithm
intervals
Results
3.2m46291×body10240exit
3.2s8000×body80valid