Details

Time bar (total: 5.3s)

sample105.0ms

Algorithm
intervals
Results
50.0ms121×body1280valid
17.0ms79×body640valid
13.0ms277×body80valid
7.0ms49×body320valid
2.0ms16×body160valid

simplify70.0ms

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

localize10.0ms

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)))

rewrite100.0ms

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:
29.0ms
(+ (exp (- 0.0 im)) (exp im))
70.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(+ (exp (- 0.0 im)) (exp im))
68.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify45.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0277376
11271319
25001317

prune173.0ms

Filtered
59 candidates to 45 candidates (76.3%)
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 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))

rewrite68.0ms

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:
27.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
30.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
9.0ms
(* (* 0.5 (sin re)) (exp im))

series172.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (* (* 0.5 (sin re)) (exp (- 0.0 im))) (* (* 0.5 (sin re)) (exp im)))
46.0ms
(* (* 0.5 (sin re)) (exp (- 0.0 im)))
36.0ms
(* (* 0.5 (sin re)) (exp im))

simplify61.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0436617
12003504
25001499

prune197.0ms

Filtered
76 candidates to 54 candidates (71.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (exp (- 0.0 im)) 3)
0.1b
(pow (exp im) 3)
0.2b
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
8.5b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
22×exp-sum
19×prod-diff
17×unpow-prod-down cube-prod
15×add-cbrt-cube
13×add-exp-log
10×pow-pow
9×exp-diff
8×exp-prod associate-/r/
6×pow1 pow-unpow frac-add add-log-exp
4×expm1-log1p-u flip3-- associate-*r/ flip-- log1p-expm1-u
3×cbrt-undiv sub-neg times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×cube-mult frac-times pow-to-exp flip3-+ unpow3 associate-*l/ pow-exp flip-+ associate-/l/ rem-cube-cbrt sqr-pow
1×cube-div distribute-rgt-out-- frac-2neg fma-neg diff-log clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 133
Calls
4 calls:
12.0ms
(pow (exp (- 0.0 im)) 3)
2.0ms
(pow (exp im) 3)
201.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
7.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series320.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(pow (exp (- 0.0 im)) 3)
23.0ms
(pow (exp im) 3)
218.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
49.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify172.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 2 (156.0ms)

IterNodesCost
09042004
149421502
250011500

prune455.0ms

Filtered
145 candidates to 89 candidates (61.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes267.0ms

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
1.2s2933×body1280valid
577.0ms2455×body640valid
428.0ms8610×body80valid
195.0ms1271×body320valid
66.0ms649×body160valid