Details

Time bar (total: 8.4s)

sample135.0ms

Algorithm
intervals
Results
82.0ms189×body1280valid
23.0ms99×body640valid
7.0ms47×body320valid
7.0ms151×body80valid
1.0ms13×body160valid

simplify85.0ms

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

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.8b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
5.4b
(- (exp (- 0.0 im)) (exp im))

rewrite88.0ms

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:
60.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
27.0ms
(- (exp (- 0.0 im)) (exp im))

series115.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(* (* 0.5 (cos re)) (- (exp (- 0.0 im)) (exp im)))
35.0ms
(- (exp (- 0.0 im)) (exp im))

simplify37.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0268399
11086345
25001344

prune136.0ms

Filtered
46 candidates to 30 candidates (65.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite84.0ms

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)))
8.0ms
(* 1/60 (pow im 5))
7.0ms
(* 1/3 (pow im 3))
56.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series323.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))
52.0ms
(* 1/60 (pow im 5))
34.0ms
(* 1/3 (pow im 3))
177.0ms
(* (* 0.5 (cos re)) (- (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify81.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
0541829
12757736
25001733

prune340.0ms

Filtered
111 candidates to 70 candidates (63.1%)
Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 1/60 (pow im 5))
0.1b
(* 1/3 (pow im 3))
0.1b
(* (* 0.5 (cos re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im)))))
1.7b
(log (exp (* 1/3 (pow im 3))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
33×associate-*r*
27×add-sqr-sqrt
21×*-un-lft-identity
19×add-exp-log
15×add-cube-cbrt
13×add-cbrt-cube
12×pow1
9×prod-exp
8×unpow-prod-down
7×associate-*l* unswap-sqr
5×distribute-lft-neg-in distribute-rgt-neg-in log-pow cbrt-unprod add-log-exp
4×cube-prod distribute-lft-out sqr-pow
3×log-prod pow-prod-down *-commutative
2×pow-to-exp distribute-neg-in associate-*r/ pow-exp distribute-neg-frac
1×distribute-rgt-in cube-mult neg-mul-1 exp-prod exp-to-pow distribute-lft-in flip3-+ unpow3 rem-log-exp distribute-rgt-neg-out flip-+
Counts
4 → 104
Calls
4 calls:
9.0ms
(* 1/60 (pow im 5))
7.0ms
(* 1/3 (pow im 3))
61.0ms
(* (* 0.5 (cos re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im)))))
1.0ms
(log (exp (* 1/3 (pow im 3))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* 1/60 (pow im 5))
41.0ms
(* 1/3 (pow im 3))
179.0ms
(* (* 0.5 (cos re)) (- (+ (log (exp (* 1/3 (pow im 3)))) (+ (* 1/60 (pow im 5)) (* 2 im)))))
36.0ms
(log (exp (* 1/3 (pow im 3))))

simplify72.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (63.0ms)

IterNodesCost
0500798
12407691
25003678

prune397.0ms

Filtered
116 candidates to 73 candidates (62.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

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))))

rewrite102.0ms

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:
74.0ms
(* (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))))
8.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
8.0ms
(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)))))
161.0ms
(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))))
159.0ms
(cbrt (+ (* 1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify66.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
03932049
114431928
250011792

prune436.0ms

Filtered
99 candidates to 75 candidates (75.8%)
Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

regimes499.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03313
14213
26113
36113

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.4s5795×body1280valid
843.0ms3513×body640valid
429.0ms1493×body320valid
197.0ms4345×body80valid
66.0ms680×body160valid