Details

Time bar (total: 5.4s)

sample90.0ms

Algorithm
intervals
Results
38.0ms94×body1280valid
16.0ms72×body640valid
14.0ms283×body80valid
5.0ms33×body320valid
3.0ms26×body160valid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1647
21267
32127
43237
58647
612027
718007
844217
950017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
4×*-un-lft-identity associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt associate-*r/
1×distribute-rgt-in expm1-log1p-u distribute-lft-in flip3-+ associate-*l* *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
Counts
1 → 25
Calls
1 calls:
17.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify36.0ms

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0238265
11157219
25002218

prune64.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.5b
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log add-cbrt-cube
14×sqrt-div associate-*r*
10×*-un-lft-identity associate-*r/
9×pow-prod-down prod-exp cbrt-unprod
8×sqrt-prod
7×flip3-+ flip-+
6×add-sqr-sqrt add-cube-cbrt
4×frac-times
2×expm1-log1p-u associate-*l* associate-*l/ *-commutative log1p-expm1-u distribute-lft-out add-log-exp
Counts
2 → 61
Calls
2 calls:
26.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
14.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series156.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))
89.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify49.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0385933
11738762
25001753

prune144.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
0.2b
(* (* 0.5 (sin re)) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im))))))
0.3b
(* (* (* 0.5 (sin re)) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
0.4b
(* (* (* (* 0.5 (sin re)) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
294×sqrt-div
240×cbrt-div
172×frac-times
147×flip3-+ flip-+
142×associate-*r/
86×associate-*l/
66×pow1
61×add-exp-log
55×cbrt-prod
43×add-sqr-sqrt
42×pow-prod-down
41×prod-exp cbrt-unprod
39×*-un-lft-identity
37×add-cbrt-cube
36×sqrt-prod
28×associate-*r*
21×add-cube-cbrt
14×swap-sqr
13×associate-*l*
9×unswap-sqr
8×distribute-lft-out
6×pow1/3
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
2×pow-sqr pow-prod-up
1×pow2 pow-plus
Counts
4 → 281
Calls
4 calls:
26.0ms
(* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
32.0ms
(* (* 0.5 (sin re)) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im))))))
40.0ms
(* (* (* 0.5 (sin re)) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
57.0ms
(* (* (* (* 0.5 (sin re)) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series558.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
129.0ms
(* (* 0.5 (sin re)) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im))))))
91.0ms
(* (* (* 0.5 (sin re)) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
74.0ms
(* (* (* (* 0.5 (sin re)) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im))))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify184.0ms

Algorithm
egg-herbie
Counts
293 → 293
Iterations

Useful iterations: 2 (115.0ms)

IterNodesCost
0111810385
148649331
250019324

prune795.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes106.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.2s2946×body1280valid
583.0ms2530×body640valid
435.0ms8561×body80valid
186.0ms1193×body320valid
66.0ms618×body160valid