Details

Time bar (total: 8.1s)

sample129.0ms

Algorithm
intervals
Results
73.0ms170×body1280valid
25.0ms104×body640valid
7.0ms47×body320valid
6.0ms129×body80valid
2.0ms22×body160valid

simplify90.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 57.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
4.6b
(- (exp (- 0.0 im)) (exp im))

rewrite20.0ms

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:
12.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
7.0ms
(- (exp (- 0.0 im)) (exp im))

series120.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
40.0ms
(- (exp (- 0.0 im)) (exp im))

simplify38.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0268399
11086345
25001344

prune121.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
0.1b
(* 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))

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 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:
8.0ms
(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
5.0ms
(* 1/60 (pow im 5))
12.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
6.0ms
(* 1/3 (pow im 3))

series324.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
50.0ms
(* 1/60 (pow im 5))
177.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
40.0ms
(* 1/3 (pow im 3))

simplify87.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0541829
12757736
25001733

prune330.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
32×associate-*r*
31×prod-exp
25×add-cbrt-cube
19×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
13×cbrt-unprod
11×pow1
7×unpow-prod-down
6×associate-*l*
5×pow-to-exp pow-exp
4×pow-prod-down *-commutative add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in cube-prod unswap-sqr sqr-pow
2×distribute-neg-in associate-*r/ distribute-neg-frac
1×distribute-rgt-in cube-mult neg-mul-1 distribute-lft-in flip3-+ unpow3 distribute-rgt-neg-out flip-+
Counts
4 → 107
Calls
4 calls:
6.0ms
(* 1/60 (pow im 5))
7.0ms
(* (* 0.5 (cos re)) (pow im 3))
10.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
9.0ms
(* (* (* 0.5 (cos re)) (pow im 3)) -1/3)

series522.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* 1/60 (pow im 5))
99.0ms
(* (* 0.5 (cos re)) (pow im 3))
280.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/60 (pow im 5)) (* 2 im))))
95.0ms
(* (* (* 0.5 (cos re)) (pow im 3)) -1/3)

simplify97.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
0589780
13147665
25002664

prune344.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (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))))

rewrite44.0ms

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:
17.0ms
(* (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)))))
7.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
7.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
11.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series660.0ms

Counts
4 → 12
Calls
4 calls:
179.0ms
(* (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)))))
159.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
160.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
161.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify62.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
03932049
114431928
250011792

prune448.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes359.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03314
15014
25714
35714

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.4s5668×body1280valid
905.0ms3648×body640valid
228.0ms1464×body320valid
197.0ms4404×body80valid
69.0ms692×body160valid