Details

Time bar (total: 7.3s)

sample152.0ms

Algorithm
intervals
Results
84.0ms167×body1280valid
28.0ms102×body640valid
11.0ms60×body320valid
9.0ms169×body80valid
3.0ms30×body160valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1407
2887
31417
43657
57807
610257
723097
850027

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 45.4b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
5.4b
(- (exp (neg im)) (exp im))

rewrite16.0ms

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:
10.0ms
(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
6.0ms
(- (exp (neg im)) (exp im))

series113.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* (* 0.5 (sin re)) (- (exp (neg im)) (exp im)))
35.0ms
(- (exp (neg im)) (exp im))

simplify36.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0241393
11046329
25001328

prune129.0ms

Filtered
46 candidates to 32 candidates (69.6%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New44246
Fresh000
Picked101
Done000
Total45247

Merged error: 0.1b

Counts
47 → 2

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
22×associate-*r*
18×add-exp-log
12×add-cbrt-cube
11×add-cube-cbrt *-un-lft-identity
9×prod-exp
8×pow1 unpow-prod-down
7×associate-*l* unswap-sqr
5×cbrt-unprod
4×cube-prod sqr-pow
3×pow-prod-down *-commutative add-log-exp
2×distribute-rgt-in pow-to-exp sub-neg distribute-lft-in associate-*r/ pow-exp
1×cube-mult flip3-- unpow3 flip--
Counts
3 → 80
Calls
3 calls:
5.0ms
(* 1/60 (pow im 5))
11.0ms
(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
9.0ms
(* -1/3 (pow im 3))

series257.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* 1/60 (pow im 5))
172.0ms
(* (* 0.5 (sin re)) (- (* -1/3 (pow im 3)) (+ (* 1/60 (pow im 5)) (* 2 im))))
35.0ms
(* -1/3 (pow im 3))

simplify59.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0405575
11890496
25002496

prune237.0ms

Filtered
89 candidates to 54 candidates (60.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New82789
Fresh011
Picked101
Done000
Total83891

Merged error: 0.0b

Counts
91 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
27×add-sqr-sqrt
25×prod-exp
23×associate-*r*
22×add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
11×pow1 cbrt-unprod
10×associate-*l*
8×unpow-prod-down unswap-sqr
4×pow-to-exp cube-prod pow-prod-down pow-exp *-commutative add-log-exp sqr-pow
2×associate-*l/
1×cube-mult flip3-+ unpow3 flip-+
Counts
4 → 100
Calls
4 calls:
8.0ms
(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
5.0ms
(* -1/60 (pow im 5))
6.0ms
(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
8.0ms
(* -1/3 (pow im 3))

series246.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (* 0.5 (sin re)) (* -1/3 (pow im 3)))
49.0ms
(* -1/60 (pow im 5))
69.0ms
(* (+ (* -2 im) (* -1/60 (pow im 5))) (sin re))
36.0ms
(* -1/3 (pow im 3))

simplify68.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0456591
12130506
25002506

prune305.0ms

Filtered
112 candidates to 67 candidates (59.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1084112
Fresh437
Picked011
Done000
Total1128120

Merged error: 0.0b

Counts
120 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sin re)) (cbrt (sin re)))
0.7b
(cbrt (sin re))
0.7b
(cbrt (sin re))
0.7b
(cbrt (sin re))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt (sin re)) (cbrt (sin re)))
1.0ms
(cbrt (sin re))
1.0ms
(cbrt (sin re))
2.0ms
(cbrt (sin re))

series393.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* (cbrt (sin re)) (cbrt (sin re)))
93.0ms
(cbrt (sin re))
93.0ms
(cbrt (sin re))
95.0ms
(cbrt (sin re))

simplify96.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0154453
1551401
23082369
35002363

prune305.0ms

Filtered
85 candidates to 60 candidates (70.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New82385
Fresh156
Picked101
Done011
Total84993

Merged error: 0.0b

Counts
93 → 9

regimes244.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
12913

end0.0ms

sample4.5s

Algorithm
intervals
Results
2.3s4816×body1280valid
1.1s3779×body640valid
340.0ms1906×body320valid
278.0ms4643×body80valid
114.0ms922×body160valid

Profiling

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