Details

Time bar (total: 4.6s)

sample36.0ms

Algorithm
intervals
Results
26.0ms271×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1367
2487
3667
4727
5727

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.8b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x.im y.re) (* x.re y.im))
28.4b
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite14.0ms

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 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
2.0ms
(- (* x.im y.re) (* x.re y.im))
10.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series122.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (* x.im y.re) (* x.re y.im))
87.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify98.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0251464
1938427
23504426
35001426

prune149.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 28.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
15.2b
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
33.4b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
33.4b
(sqrt (+ (* y.re y.re) (* y.im y.im)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
288×times-frac
164×add-sqr-sqrt
162×add-cube-cbrt *-un-lft-identity
156×sqrt-prod
27×associate-/l*
22×sqrt-div
18×associate-/r/
12×associate-/r*
11×add-exp-log flip3-+ add-cbrt-cube flip-+
9×div-inv
6×pow1
4×cbrt-undiv div-exp add-log-exp
3×div-sub associate-/l/
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num
1×flip3-- flip--
Counts
4 → 266
Calls
4 calls:
27.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
11.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
4.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
4.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

series273.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
110.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
41.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
36.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))

simplify88.0ms

Algorithm
egg-herbie
Counts
278 → 278
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
07455703
128885224
250015172

prune780.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 25.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x.im y.re) (* x.re y.im))
28.4b
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite14.0ms

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 flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
2 → 44
Calls
2 calls:
2.0ms
(- (* x.im y.re) (* x.re y.im))
10.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

series117.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(- (* x.im y.re) (* x.re y.im))
82.0ms
(/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))

simplify104.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0251464
1938427
23504426
35001426

prune129.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 25.5b

localize19.0ms

Local error

Found 4 expressions with local error:

9.5b
(* (/ 1 (* 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))
33.4b
(sqrt (+ (* y.re y.re) (* y.im y.im)))
34.4b
(cbrt (+ (* y.re y.re) (* y.im y.im)))
34.4b
(cbrt (+ (* y.re y.re) (* y.im y.im)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
40×add-sqr-sqrt
33×times-frac associate-*r*
32×prod-exp
28×add-cube-cbrt *-un-lft-identity
25×add-cbrt-cube
23×sqrt-prod
22×div-exp
16×cbrt-prod
12×1-exp
8×cbrt-unprod
7×pow1 cbrt-undiv associate-*l*
6×rec-exp cbrt-div
4×flip3-+ sqrt-div flip-+ add-log-exp unswap-sqr
2×pow1/3 associate-/r/ div-inv
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 123
Calls
4 calls:
44.0ms
(* (/ 1 (* 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))
4.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
2.0ms
(cbrt (+ (* y.re y.re) (* y.im y.im)))
2.0ms
(cbrt (+ (* y.re y.re) (* y.im y.im)))

series676.0ms

Counts
4 → 12
Calls
4 calls:
451.0ms
(* (/ 1 (* 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))
39.0ms
(sqrt (+ (* y.re y.re) (* y.im y.im)))
93.0ms
(cbrt (+ (* y.re y.re) (* y.im y.im)))
94.0ms
(cbrt (+ (* y.re y.re) (* y.im y.im)))

simplify83.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
07502117
134211822
250011783

prune467.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 25.5b

regimes179.0ms

Accuracy

0% (2.8b remaining)

Error of 25.9b against oracle of 23.0b and baseline of 25.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample1.1s

Algorithm
intervals
Results
831.0ms8517×body80valid