Details

Time bar (total: 7.2s)

sample91.0ms

Algorithm
intervals
Results
41.0ms106×body1280valid
18.0ms83×body640valid
13.0ms270×body80valid
4.0ms30×body320valid
2.0ms18×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1627
21087
31777
42797
57707
610757
716627
842177
950027

prune3.0ms

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)))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
4×associate-*r* add-log-exp
3×add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 35
Calls
2 calls:
21.0ms
(+ (exp (- 0.0 im)) (exp im))
58.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(+ (exp (- 0.0 im)) (exp im))
69.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify39.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0268349
11226295
25002294

prune104.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (exp im) 3)
0.1b
(pow (exp (- 0.0 im)) 3)
0.3b
(/ (* (* 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)))))
6.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
15×add-cbrt-cube
14×add-cube-cbrt
13×add-exp-log
10×pow-pow
9×exp-diff
8×unpow-prod-down exp-prod cube-prod associate-/r/
6×pow1 pow-unpow frac-add add-log-exp
4×flip3-- associate-*r/ exp-sum flip--
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 diff-log clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
4 → 105
Calls
4 calls:
2.0ms
(pow (exp im) 3)
11.0ms
(pow (exp (- 0.0 im)) 3)
184.0ms
(/ (* (* 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)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(pow (exp im) 3)
26.0ms
(pow (exp (- 0.0 im)) 3)
229.0ms
(/ (* (* 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)))))
46.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify162.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (145.0ms)

IterNodesCost
07341631
142531357
250021335

prune410.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (pow (exp (- 0.0 im)) 3) 3)
0.1b
(cbrt (pow (pow (exp (- 0.0 im)) 3) 3))
0.3b
(/ (* (* 0.5 (sin re)) (+ (cbrt (pow (pow (exp (- 0.0 im)) 3) 3)) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
6.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite296.0ms

Algorithm
rewrite-expression-head
Rules
52×unpow-prod-down cube-prod
38×cbrt-prod
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×exp-sum
14×add-exp-log add-cbrt-cube
10×exp-diff
9×sub-neg
8×associate-/r/
6×cube-mult unpow3 frac-add add-log-exp sqr-pow
4×pow1 cube-div flip3-- associate-*r/ pow-exp flip--
3×cbrt-undiv pow-unpow times-frac div-exp prod-exp associate-/r* cbrt-unprod
2×frac-times pow-to-exp flip3-+ associate-*l/ flip-+ associate-/l/
1×cbrt-div distribute-rgt-out-- pow-pow frac-2neg pow1/3 diff-log clear-num rem-cbrt-cube div-inv associate-/l* rem-cube-cbrt
Counts
4 → 146
Calls
4 calls:
12.0ms
(pow (pow (exp (- 0.0 im)) 3) 3)
13.0ms
(cbrt (pow (pow (exp (- 0.0 im)) 3) 3))
258.0ms
(/ (* (* 0.5 (sin re)) (+ (cbrt (pow (pow (exp (- 0.0 im)) 3) 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)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(pow (pow (exp (- 0.0 im)) 3) 3)
27.0ms
(cbrt (pow (pow (exp (- 0.0 im)) 3) 3))
229.0ms
(/ (* (* 0.5 (sin re)) (+ (cbrt (pow (pow (exp (- 0.0 im)) 3) 3)) (pow (exp im) 3))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
51.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify125.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
07982068
139511750
250011717

prune448.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
0.3b
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im))))))
6.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
6.4b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite327.0ms

Algorithm
rewrite-expression-head
Rules
16×exp-diff sqrt-div
13×add-exp-log add-cbrt-cube
12×frac-add
10×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity sqrt-prod
8×flip3-- associate-/r/ flip-- add-log-exp
6×times-frac associate-*r/ associate-/r*
5×pow1
4×frac-times associate-*l/
3×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+
2×sub-neg distribute-rgt-out-- diff-log associate-/l/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 clear-num div-inv associate-/l*
Counts
4 → 86
Calls
4 calls:
124.0ms
(sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
185.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (sqrt (+ (* (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)))
7.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series520.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
308.0ms
(/ (* (* 0.5 (sin re)) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3))) (sqrt (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im))))))
45.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))
51.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify89.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06782486
131182303
250022298

prune466.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes150.0ms

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

sample2.7s

Algorithm
intervals
Results
1.2s2930×body1280valid
580.0ms2549×body640valid
407.0ms8538×body80valid
179.0ms1219×body320valid
62.0ms614×body160valid