Details

Time bar (total: 9.7s)

sample139.0ms

Algorithm
intervals
Results
76.0ms188×body1280valid
28.0ms122×body640valid
9.0ms58×body320valid
8.0ms129×body80valid
2.0ms19×body160valid

simplify87.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1447
2997
31857
43187
57667
612707
718017
847437
950017

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.2b
(- (exp (- 0.0 im)) (exp im))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-sqr-sqrt *-un-lft-identity add-cbrt-cube
5×associate-*r*
4×add-log-exp
3×add-cube-cbrt sub-neg pow-prod-down prod-exp cbrt-unprod
2×distribute-rgt-in flip3-- distribute-lft-in associate-*r/ flip-- distribute-lft-out-- difference-of-squares
1×diff-log associate-*l* *-commutative
Counts
2 → 40
Calls
2 calls:
16.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
7.0ms
(- (exp (- 0.0 im)) (exp im))

series118.0ms

Counts
2 → 6
Calls
2 calls:
82.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
35.0ms
(- (exp (- 0.0 im)) (exp im))

simplify39.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0268399
11086345
25001344

prune115.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/60 (pow im 5)) (* 2 im))
0.0b
(* 1/60 (pow im 5))
0.1b
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
0.2b
(* 1/3 (pow im 3))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
29×associate-*r*
26×add-sqr-sqrt
19×add-exp-log
14×add-cube-cbrt *-un-lft-identity
13×add-cbrt-cube
9×pow1 prod-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
6×add-log-exp
5×cbrt-unprod
4×cube-prod sqr-pow
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down *-commutative
2×pow-to-exp distribute-neg-in flip3-+ associate-*r/ pow-exp flip-+ distribute-neg-frac
1×+-commutative distribute-rgt-in cube-mult neg-mul-1 distribute-lft-in unpow3 sum-log distribute-rgt-neg-out
Counts
4 → 97
Calls
4 calls:
5.0ms
(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms
(* 1/60 (pow im 5))
15.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms
(* 1/3 (pow im 3))

series399.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(+ (* 1/60 (pow im 5)) (* 2 im))
51.0ms
(* 1/60 (pow im 5))
177.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
37.0ms
(* 1/3 (pow im 3))

simplify84.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0548742
12683667
25002664

prune310.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
0.6b
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
0.6b
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
12.0ms
(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
4.0ms
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
4.0ms
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
4.0ms
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

series2.4s

Counts
4 → 12
Calls
4 calls:
621.0ms
(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
583.0ms
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
598.0ms
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
588.0ms
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

simplify56.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03821476
113361397
250021312

prune449.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 0.5 (cos re)) (sqrt (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
0.2b
(* 1/3 (pow im 3))
0.2b
(* 1/3 (pow im 3))
0.2b
(* (* (* 0.5 (cos re)) (sqrt (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))) (sqrt (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
50×associate-*r*
34×add-sqr-sqrt
28×add-exp-log
22×add-cbrt-cube
20×add-cube-cbrt *-un-lft-identity sqrt-prod
18×pow1
15×prod-exp
14×sqrt-div distribute-neg-frac
11×cbrt-unprod
10×associate-*r/
9×pow-prod-down
8×unpow-prod-down cube-prod associate-*l* unswap-sqr
7×flip3-+ flip-+
6×distribute-lft-neg-in distribute-rgt-neg-in
4×frac-times *-commutative add-log-exp sqr-pow
2×cube-mult pow-to-exp neg-mul-1 unpow3 associate-*l/ pow-exp
Counts
4 → 131
Calls
4 calls:
14.0ms
(* (* 0.5 (cos re)) (sqrt (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
6.0ms
(* 1/3 (pow im 3))
7.0ms
(* 1/3 (pow im 3))
29.0ms
(* (* (* 0.5 (cos re)) (sqrt (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))) (sqrt (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))

series417.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(* (* 0.5 (cos re)) (sqrt (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
41.0ms
(* 1/3 (pow im 3))
35.0ms
(* 1/3 (pow im 3))
170.0ms
(* (* (* 0.5 (cos re)) (sqrt (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))) (sqrt (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))

simplify94.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
06231761
130641462
250021461

prune435.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes173.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03111
14611
26511
36511

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.4s5769×body1280valid
906.0ms3648×body640valid
236.0ms1500×body320valid
205.0ms4417×body80valid
78.0ms734×body160valid