Details

Time bar (total: 10.0s)

sample1.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results
58.0ms102×body1280valid
28.0ms85×body640valid
11.0ms32×body1280invalid
8.0ms39×body320valid
7.0ms27×body640invalid
4.0ms62×body80invalid
3.0ms25×body160valid
2.0ms12×body320invalid
1.0ms10×body160invalid
0.0ms5×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1407
2887
31417
43657
57807
610257
723097
850027

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 45.6b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.9b
(- (exp (neg im)) (exp im))

rewrite21.0ms

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:
11.0ms
(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
9.0ms
(- (exp (neg im)) (exp im))

series22.0ms

Counts
2 → 6
Calls
2 calls:
16.0ms
(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.0ms
(- (exp (neg im)) (exp im))

simplify35.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0241393
11046329
25001328

prune61.0ms

Filtered
32 candidates to 46 candidates (-43.8%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New44246
Fresh000
Picked101
Done000
Total45247

Merged error: 0.2b

Counts
47 → 2

localize14.0ms

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×associate-*r*
19×add-exp-log
13×add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
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×pow-prod-down *-commutative
2×distribute-rgt-in pow-to-exp sub-neg distribute-lft-in associate-*r/ pow-exp
1×+-commutative cube-mult flip3-- flip3-+ unpow3 sum-log flip-- flip-+
Counts
4 → 91
Calls
4 calls:
4.0ms
(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms
(* 1/60 (pow im 5))
6.0ms
(* -1/3 (pow im 3))
12.0ms
(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

series58.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(+ (* 1/60 (pow im 5)) (* 2 im))
5.0ms
(* 1/60 (pow im 5))
4.0ms
(* -1/3 (pow im 3))
37.0ms
(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))

simplify69.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0464658
12134579
25001579

prune197.0ms

Filtered
64 candidates to 103 candidates (-60.9%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New958103
Fresh011
Picked011
Done000
Total9510105

Merged error: 0.0b

Counts
105 → 10

localize19.0ms

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)))

series241.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(* (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))) (cbrt (+ (* 1/60 (pow im 5)) (* 2 im))))
58.0ms
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
60.0ms
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))
60.0ms
(cbrt (+ (* 1/60 (pow im 5)) (* 2 im)))

simplify57.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03821476
113361397
250021308

prune624.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New97299
Fresh088
Picked011
Done011
Total9712109

Merged error: 0.0b

Counts
109 → 12

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
13.7b
(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
13.7b
(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
13.7b
(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
9.0ms
(* (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
10.0ms
(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
10.0ms
(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
10.0ms
(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))) (cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))))
83.0ms
(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
83.0ms
(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))
84.0ms
(cbrt (* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
04131954
116801759
250021624

prune446.0ms

Filtered
67 candidates to 84 candidates (-25.4%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New82284
Fresh189
Picked011
Done022
Total831396

Merged error: 0.0b

Counts
96 → 13

regimes436.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02410
12410

end0.0ms

sample5.9s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 12.109375%

Guaranteed chance to sample good point: 71.111111%

Results
1.9s3322×body1280valid
823.0ms2529×body640valid
550.0ms1533×body1280invalid
313.0ms1276×body640invalid
270.0ms1263×body320valid
161.0ms2370×body80invalid
102.0ms584×body320invalid
84.0ms643×body160valid
38.0ms319×body160invalid
16.0ms243×body80valid

Profiling

Loading profile data...