Details

Time bar (total: 5.5s)

sample97.0ms

Algorithm
intervals
Results
42.0ms102×body1280valid
17.0ms282×body80valid
16.0ms68×body640valid
5.0ms31×body320valid
2.0ms16×body160valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1647
21267
32127
43237
58647
612027
718007
844217
950017

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
14×fma-def *-un-lft-identity
11×exp-sum
10×add-sqr-sqrt add-cube-cbrt
9×prod-diff
7×pow1 add-exp-log add-cbrt-cube
4×associate-*r* add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ associate-*r/ flip-+ log1p-expm1-u distribute-lft-out
1×+-commutative distribute-rgt-in sub-neg distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 53
Calls
2 calls:
31.0ms
(+ (exp (- 0.0 im)) (exp im))
75.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series89.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (exp (- 0.0 im)) (exp im))
67.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify43.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0277376
11271319
25001317

prune169.0ms

Filtered
59 candidates to 45 candidates (76.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
17×associate-*r*
13×pow1 add-cbrt-cube
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity exp-sum
9×add-exp-log prod-diff
6×pow-prod-down prod-exp cbrt-unprod
5×add-log-exp
3×expm1-log1p-u log1p-expm1-u
2×associate-*l* *-commutative
1×+-commutative sub-neg fma-def flip3-+ exp-diff associate-*r/ sum-log flip-+ distribute-lft-out
Counts
3 → 67
Calls
3 calls:
29.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
32.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
10.0ms
(* (* 0.5 (sin re)) (exp im))

series173.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
47.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
36.0ms
(* (* 0.5 (sin re)) (exp im))

simplify63.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0436617
12003504
25001499

prune199.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
17×add-cbrt-cube
10×add-exp-log
8×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×fma-def
6×times-frac prod-exp cbrt-unprod
5×add-log-exp
3×cbrt-undiv expm1-log1p-u div-exp associate-*r* pow-prod-down associate-/r* log1p-expm1-u
2×div-inv
1×+-commutative frac-2neg flip3-+ associate-*l* clear-num sum-log *-commutative flip-+ associate-/l*
Counts
3 → 65
Calls
3 calls:
11.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
16.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
10.0ms
(* (* 0.5 (sin re)) (exp im))

series269.0ms

Counts
3 → 9
Calls
3 calls:
93.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
135.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
41.0ms
(* (* 0.5 (sin re)) (exp im))

simplify68.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
0401623
12230522
25001516

prune206.0ms

Filtered
74 candidates to 57 candidates (77.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp (- 0.0 im)) 3)
0.0b
(* (exp im) (exp im))
0.0b
(pow (exp im) 3)
5.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
36×*-un-lft-identity
34×add-cube-cbrt
26×exp-prod
22×exp-sum
19×prod-diff
17×unpow-prod-down cube-prod
13×pow1
10×pow-pow
8×add-cbrt-cube
6×pow-unpow add-log-exp
4×add-exp-log expm1-log1p-u pow-prod-down pow-sqr pow-prod-up log1p-expm1-u
3×sub-neg swap-sqr associate-*r* associate-*l*
2×cube-mult pow-to-exp unpow3 pow-exp rem-cube-cbrt sqr-pow
1×cube-div pow2 flip3-- distribute-rgt-out-- pow-plus exp-diff fma-neg diff-log prod-exp *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 134
Calls
4 calls:
13.0ms
(pow (exp (- 0.0 im)) 3)
11.0ms
(* (exp im) (exp im))
2.0ms
(pow (exp im) 3)
7.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series112.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(pow (exp (- 0.0 im)) 3)
13.0ms
(* (exp im) (exp im))
28.0ms
(pow (exp im) 3)
45.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify115.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
0535830
12725565
25002543

prune414.0ms

Filtered
146 candidates to 82 candidates (56.2%)
Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

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
01611
11611

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.4s3092×body1280valid
564.0ms2390×body640valid
432.0ms8523×body80valid
196.0ms1242×body320valid
66.0ms574×body160valid