Details

Time bar (total: 7.2s)

sample438.0ms

Algorithm
intervals
Results
48.0ms78×body1280valid
41.0ms49×body640valid
22.0ms247×body80valid
5.0ms18×body320valid
2.0ms10×body160valid
2.0ms1×body2560valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03521
16317
29817
321717
489517
5500117

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.2b

localize25.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (atan2 x.im x.re) y.im)
27.3b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
27.3b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
34.4b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-cube-cbrt *-un-lft-identity
6×add-exp-log sqrt-prod add-cbrt-cube
4×expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 flip-+ hypot-def
1×sin-sum pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 66
Calls
4 calls:
6.0ms
(* (atan2 x.im x.re) y.im)
7.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
7.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
25.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (atan2 x.im x.re) y.im)
36.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
36.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
170.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

simplify79.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0213458
1565417
21299415
32889415
45003415

prune380.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 19.0b

localize29.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (atan2 x.im x.re) y.re)
2.9b
(* (atan2 x.im x.re) y.im)
27.3b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
34.4b
(sin (+ (* (log (* 1 (hypot x.re x.im))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
9×pow1 add-cube-cbrt *-un-lft-identity
8×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×expm1-log1p-u log1p-expm1-u 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 flip-+ hypot-def
Counts
4 → 68
Calls
4 calls:
7.0ms
(* (atan2 x.im x.re) y.re)
7.0ms
(* (atan2 x.im x.re) y.im)
7.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
19.0ms
(sin (+ (* (log (* 1 (hypot x.re x.im))) y.im) (* (atan2 x.im x.re) y.re)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (atan2 x.im x.re) y.re)
18.0ms
(* (atan2 x.im x.re) y.im)
36.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
165.0ms
(sin (+ (* (log (* 1 (hypot x.re x.im))) y.im) (* (atan2 x.im x.re) y.re)))

simplify109.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0263404
1755360
21828359
34355359
45001359

prune391.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.5b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (atan2 x.im x.re) y.re)
2.9b
(* (atan2 x.im x.re) y.im)
5.6b
(exp (log (hypot x.re x.im)))
34.4b
(sin (+ (* (log (* 1 (hypot x.re x.im))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×pow1
8×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×expm1-log1p-u exp-prod log1p-expm1-u add-log-exp
3×log-prod exp-sum
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×sin-sum log-pow rem-exp-log
Counts
4 → 67
Calls
4 calls:
7.0ms
(* (atan2 x.im x.re) y.re)
6.0ms
(* (atan2 x.im x.re) y.im)
3.0ms
(exp (log (hypot x.re x.im)))
19.0ms
(sin (+ (* (log (* 1 (hypot x.re x.im))) y.im) (* (atan2 x.im x.re) y.re)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (atan2 x.im x.re) y.re)
20.0ms
(* (atan2 x.im x.re) y.im)
46.0ms
(exp (log (hypot x.re x.im)))
162.0ms
(sin (+ (* (log (* 1 (hypot x.re x.im))) y.im) (* (atan2 x.im x.re) y.re)))

simplify66.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0208362
1566317
21248317
32201313
45001313

prune378.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.5b

localize32.0ms

Local error

Found 4 expressions with local error:

4.5b
(cbrt (* (atan2 x.im x.re) y.im))
4.5b
(cbrt (* (atan2 x.im x.re) y.im))
5.6b
(exp (log (hypot x.re x.im)))
34.4b
(sin (+ (* (log (* 1 (hypot x.re x.im))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u exp-prod add-cbrt-cube log1p-expm1-u add-log-exp
3×log-prod exp-sum
2×cbrt-prod pow1/3
1×sin-sum log-pow rem-exp-log
Counts
4 → 49
Calls
4 calls:
3.0ms
(cbrt (* (atan2 x.im x.re) y.im))
3.0ms
(cbrt (* (atan2 x.im x.re) y.im))
3.0ms
(exp (log (hypot x.re x.im)))
19.0ms
(sin (+ (* (log (* 1 (hypot x.re x.im))) y.im) (* (atan2 x.im x.re) y.re)))

series334.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(cbrt (* (atan2 x.im x.re) y.im))
62.0ms
(cbrt (* (atan2 x.im x.re) y.im))
46.0ms
(exp (log (hypot x.re x.im)))
163.0ms
(sin (+ (* (log (* 1 (hypot x.re x.im))) y.im) (* (atan2 x.im x.re) y.re)))

simplify47.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 3 (14.0ms)

IterNodesCost
0162348
1280307
2523295
31107287
45002287

prune321.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.5b

regimes238.0ms

Accuracy

0% (0.1b remaining)

Error of 3.5b against oracle of 3.4b and baseline of 3.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03425
13625
23625

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.4s2222×body1280valid
668.0ms7935×body80valid
566.0ms1430×body640valid
158.0ms556×body320valid
73.0ms48×body2560valid
44.0ms252×body160valid