Details

Time bar (total: 5.5s)

sample90.0ms

Algorithm
intervals
Results
36.0ms95×body1280valid
19.0ms83×body640valid
14.0ms305×body80valid
4.0ms29×body320valid
2.0ms18×body160valid

simplify82.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1647
21267
32127
43237
58647
612027
718007
844217
950017

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite116.0ms

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:
32.0ms
(+ (exp (- 0.0 im)) (exp im))
82.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (exp (- 0.0 im)) (exp im))
69.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify39.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0277376
11271319
25001317

prune168.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite69.0ms

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:
30.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
28.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
9.0ms
(* (* 0.5 (sin re)) (exp im))

series184.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
100.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
41.0ms
(* (* 0.5 (sin re)) (exp im))

simplify62.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0436617
12003504
25001499

prune198.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

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:
18.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
10.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
9.0ms
(* (* 0.5 (sin re)) (exp im))

series265.0ms

Counts
3 → 9
Calls
3 calls:
137.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* 0.5 (sin re)) (exp im)))
90.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
37.0ms
(* (* 0.5 (sin re)) (exp im))

simplify65.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0401623
12229522
25002516

prune195.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
27×add-cbrt-cube
22×add-exp-log
18×pow1
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* prod-exp cbrt-unprod
9×pow-prod-down
7×fma-def
6×times-frac sqrt-prod add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv div-exp associate-/r*
2×associate-*l* *-commutative div-inv
1×+-commutative frac-2neg flip3-+ clear-num sum-log flip-+ associate-/l*
Counts
4 → 94
Calls
4 calls:
11.0ms
(* (* 0.5 (sin re)) (sqrt (exp im)))
19.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
10.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
37.0ms
(* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))

series310.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (* 0.5 (sin re)) (sqrt (exp im)))
139.0ms
(+ (/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im)) (* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im))))
89.0ms
(/ (* (* 0.5 (sin re)) (exp 0.0)) (exp im))
36.0ms
(* (* (* 0.5 (sin re)) (sqrt (exp im))) (sqrt (exp im)))

simplify86.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
0505992
12862791
25001766

prune279.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes119.0ms

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

sample2.9s

Algorithm
intervals
Results
1.3s3025×body1280valid
566.0ms2476×body640valid
416.0ms8607×body80valid
180.0ms1237×body320valid
70.0ms623×body160valid