Details

Time bar (total: 4.0s)

sample21.0ms

Algorithm
intervals
Results
8.0ms268×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1407
2567
3767
4907
5947
6947

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.7b

localize10.0ms

Local error

Found 2 expressions with local error:

0.7b
(- (* x.im y.re) (* x.re y.im))
24.2b
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ fma-neg diff-log div-sub div-exp prod-diff clear-num flip-+ div-inv
Counts
2 → 50
Calls
2 calls:
8.0ms
(- (* x.im y.re) (* x.re y.im))
28.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(- (* x.im y.re) (* x.re y.im))
88.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify103.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 3 (98.0ms)

IterNodesCost
0270481
11012432
23842422
35001421

prune153.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 12.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot y.re y.im)
0.3b
(* (/ 1 (* (hypot y.re y.im) 1)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
0.7b
(- (* x.im y.re) (* x.re y.im))
14.9b
(/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
68×add-exp-log
32×prod-exp
27×add-cbrt-cube
26×add-sqr-sqrt
23×div-exp
22×times-frac
21×add-cube-cbrt *-un-lft-identity
13×associate-*r*
12×1-exp
8×cbrt-undiv cbrt-unprod
7×associate-*l*
6×pow1 rec-exp add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×associate-/r* div-inv associate-/l*
2×flip3-- flip-- associate-/l/ unswap-sqr
1×frac-times sub-neg hypot-udef frac-2neg fma-neg diff-log div-sub associate-*r/ prod-diff pow-prod-down associate-*l/ clear-num *-commutative
Counts
4 → 120
Calls
4 calls:
0.0ms
(hypot y.re y.im)
52.0ms
(* (/ 1 (* (hypot y.re y.im) 1)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
8.0ms
(- (* x.im y.re) (* x.re y.im))
19.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))

series393.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(hypot y.re y.im)
186.0ms
(* (/ 1 (* (hypot y.re y.im) 1)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
39.0ms
(- (* x.im y.re) (* x.re y.im))
122.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))

simplify62.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05461122
12249931
25002929

prune320.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.4b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot y.re y.im)
0.1b
(/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
0.7b
(- (* x.im y.re) (* x.re y.im))
14.9b
(/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
54×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/l*
11×add-exp-log add-cbrt-cube
6×associate-/r* div-inv add-log-exp
4×pow1 cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×div-sub associate-/l/
2×flip3-- frac-2neg clear-num flip--
1×sub-neg hypot-udef fma-neg diff-log prod-diff
Counts
4 → 131
Calls
4 calls:
0.0ms
(hypot y.re y.im)
21.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
16.0ms
(- (* x.im y.re) (* x.re y.im))
38.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))

series335.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(hypot y.re y.im)
122.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
42.0ms
(- (* x.im y.re) (* x.re y.im))
121.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))

simplify50.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04601435
116691331
250011322

prune387.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* x.im y.re) (hypot y.re y.im)) (/ (* x.re y.im) (hypot y.re y.im)))
0.1b
(/ (- (/ (* x.im y.re) (hypot y.re y.im)) (/ (* x.re y.im) (hypot y.re y.im))) (hypot y.re y.im))
8.9b
(/ (* x.im y.re) (hypot y.re y.im))
10.4b
(/ (* x.re y.im) (hypot y.re y.im))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
69×times-frac
59×add-sqr-sqrt *-un-lft-identity
49×add-cube-cbrt prod-diff
28×div-inv
16×add-exp-log add-cbrt-cube
9×associate-/r*
8×associate-/l*
7×fma-neg
6×add-log-exp
5×cbrt-undiv distribute-rgt-out-- div-exp distribute-lft-out-- difference-of-squares
4×pow1 expm1-log1p-u log1p-expm1-u associate-/l/
3×frac-2neg clear-num
2×flip3-- prod-exp frac-sub flip-- cbrt-unprod sub-div
1×sub-neg diff-log div-sub
Counts
4 → 167
Calls
4 calls:
24.0ms
(- (/ (* x.im y.re) (hypot y.re y.im)) (/ (* x.re y.im) (hypot y.re y.im)))
58.0ms
(/ (- (/ (* x.im y.re) (hypot y.re y.im)) (/ (* x.re y.im) (hypot y.re y.im))) (hypot y.re y.im))
10.0ms
(/ (* x.im y.re) (hypot y.re y.im))
10.0ms
(/ (* x.re y.im) (hypot y.re y.im))

series586.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(- (/ (* x.im y.re) (hypot y.re y.im)) (/ (* x.re y.im) (hypot y.re y.im)))
244.0ms
(/ (- (/ (* x.im y.re) (hypot y.re y.im)) (/ (* x.re y.im) (hypot y.re y.im))) (hypot y.re y.im))
74.0ms
(/ (* x.im y.re) (hypot y.re y.im))
73.0ms
(/ (* x.re y.im) (hypot y.re y.im))

simplify79.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
06072530
125761870
250011867

prune375.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes128.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03230
13830
23830

end0.0ms

sample556.0ms

Algorithm
intervals
Results
273.0ms8478×body80valid