Details

Time bar (total: 8.5s)

sample133.0ms

Algorithm
intervals
Results
73.0ms185×body1280valid
27.0ms111×body640valid
8.0ms51×body320valid
7.0ms158×body80valid
2.0ms25×body160valid

simplify88.0ms

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

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
6.6b
(- (exp (- 0.0 im)) (exp im))

rewrite286.0ms

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:
259.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
26.0ms
(- (exp (- 0.0 im)) (exp im))

series122.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
37.0ms
(- (exp (- 0.0 im)) (exp im))

simplify43.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0268399
11086345
25001344

prune129.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/3 (pow im 3)) (+ (* 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)))))
0.1b
(* 1/3 (pow im 3))

rewrite80.0ms

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 add-log-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
5×cbrt-unprod
4×cube-prod sqr-pow
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down sum-log *-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 associate-+r+ distribute-lft-in unpow3 distribute-rgt-neg-out
Counts
4 → 99
Calls
4 calls:
9.0ms
(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms
(* 1/60 (pow im 5))
53.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
10.0ms
(* 1/3 (pow im 3))

series356.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
57.0ms
(* 1/60 (pow im 5))
196.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
44.0ms
(* 1/3 (pow im 3))

simplify91.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (80.0ms)

IterNodesCost
0541829
12757736
25001733

prune353.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5)))
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))))
0.1b
(* 1/3 (pow im 3))

rewrite82.0ms

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:
3.0ms
(+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5)))
6.0ms
(* 1/60 (pow im 5))
61.0ms
(* (* 0.5 (cos re)) (- (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))))
7.0ms
(* 1/3 (pow im 3))

series425.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5)))
56.0ms
(* 1/60 (pow im 5))
189.0ms
(* (* 0.5 (cos re)) (- (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))))
39.0ms
(* 1/3 (pow im 3))

simplify88.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
0545760
12666683
25001683

prune346.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))) (cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))))
0.6b
(cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
0.6b
(cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
0.6b
(cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))

rewrite113.0ms

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:
82.0ms
(* (cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))) (cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))))
9.0ms
(cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
9.0ms
(cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
10.0ms
(cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))

series697.0ms

Counts
4 → 12
Calls
4 calls:
190.0ms
(* (cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))) (cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im))))
171.0ms
(cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
167.0ms
(cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))
168.0ms
(cbrt (+ (+ (* 1/3 (pow im 3)) (* 1/60 (pow im 5))) (* 2 im)))

simplify61.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03852049
114261928
250011792

prune438.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes336.0ms

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

sample4.1s

Algorithm
intervals
Results
2.4s5733×body1280valid
903.0ms3699×body640valid
237.0ms1515×body320valid
196.0ms4360×body80valid
65.0ms661×body160valid