Details

Time bar (total: 9.0s)

sample449.0ms

Algorithm
intervals
Results
84.0ms83×body1280valid
44.0ms249×body80valid
35.0ms55×body640valid
5.0ms10×body320valid
4.0ms2×body2560valid
3.0ms11×body160valid

simplify39.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03521
16317
29817
321717
489517
5500117

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 35.0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.2b
(* (atan2 x.im x.re) y.im)
31.4b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
31.4b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
35.3b
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

rewrite21.0ms

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:
3.0ms
(* (atan2 x.im x.re) y.im)
4.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
4.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
8.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (atan2 x.im x.re) y.im)
37.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
40.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
166.0ms
(sin (+ (* (log (sqrt (+ (* x.re x.re) (* x.im x.im)))) y.im) (* (atan2 x.im x.re) y.re)))

simplify85.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (15.0ms)

IterNodesCost
0213458
1565417
21299415
32889415
45003415

prune394.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 19.9b

localize25.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (atan2 x.im x.re) y.re)
1.2b
(* (atan2 x.im x.re) y.im)
31.4b
(sqrt (+ (* x.re x.re) (* x.im x.im)))
35.3b
(sin (+ (* (log (hypot x.re x.im)) y.im) (* (atan2 x.im x.re) y.re)))

rewrite18.0ms

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:
3.0ms
(* (atan2 x.im x.re) y.re)
3.0ms
(* (atan2 x.im x.re) y.im)
4.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
7.0ms
(sin (+ (* (log (hypot x.re x.im)) y.im) (* (atan2 x.im x.re) y.re)))

series229.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (atan2 x.im x.re) y.re)
16.0ms
(* (atan2 x.im x.re) y.im)
39.0ms
(sqrt (+ (* x.re x.re) (* x.im x.im)))
156.0ms
(sin (+ (* (log (hypot x.re x.im)) y.im) (* (atan2 x.im x.re) y.re)))

simplify92.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0259390
1731350
21732349
33569349
45002349

prune412.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.8b

localize23.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (atan2 x.im x.re) y.re)
1.2b
(* (atan2 x.im x.re) y.im)
5.8b
(exp (log (hypot x.re x.im)))
35.3b
(sin (+ (* (log (hypot x.re x.im)) y.im) (* (atan2 x.im x.re) y.re)))

rewrite14.0ms

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:
3.0ms
(* (atan2 x.im x.re) y.re)
3.0ms
(* (atan2 x.im x.re) y.im)
1.0ms
(exp (log (hypot x.re x.im)))
5.0ms
(sin (+ (* (log (hypot x.re x.im)) y.im) (* (atan2 x.im x.re) y.re)))

series243.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* (atan2 x.im x.re) y.re)
17.0ms
(* (atan2 x.im x.re) y.im)
49.0ms
(exp (log (hypot x.re x.im)))
159.0ms
(sin (+ (* (log (hypot x.re x.im)) y.im) (* (atan2 x.im x.re) y.re)))

simplify58.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (26.0ms)

IterNodesCost
0204348
1538307
21183307
32021303
45001303

prune382.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.8b

localize30.0ms

Local error

Found 4 expressions with local error:

4.0b
(cbrt (atan2 x.im x.re))
4.0b
(cbrt (atan2 x.im x.re))
5.8b
(exp (log (hypot x.re x.im)))
35.3b
(sin (+ (* (log (hypot x.re x.im)) y.im) (* (atan2 x.im x.re) y.re)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
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×pow1/3
1×sin-sum log-pow rem-exp-log
Counts
4 → 53
Calls
4 calls:
0.0ms
(cbrt (atan2 x.im x.re))
0.0ms
(cbrt (atan2 x.im x.re))
2.0ms
(exp (log (hypot x.re x.im)))
5.0ms
(sin (+ (* (log (hypot x.re x.im)) y.im) (* (atan2 x.im x.re) y.re)))

series291.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt (atan2 x.im x.re))
41.0ms
(cbrt (atan2 x.im x.re))
50.0ms
(exp (log (hypot x.re x.im)))
157.0ms
(sin (+ (* (log (hypot x.re x.im)) y.im) (* (atan2 x.im x.re) y.re)))

simplify147.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 3 (12.0ms)

IterNodesCost
0124308
1202277
2336273
3911269
43850269
55001269

prune329.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.8b

regimes318.0ms

Accuracy

0% (0.1b remaining)

Error of 3.6b against oracle of 3.5b and baseline of 3.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03233
13233

end0.0ms

sample5.1s

Algorithm
intervals
Results
2.0s2169×body1280valid
1.4s7919×body80valid
860.0ms1331×body640valid
259.0ms551×body320valid
69.0ms37×body2560valid
68.0ms209×body160valid