Details

Time bar (total: 5.8s)

sample113.0ms

Algorithm
intervals
Results
44.0ms104×body1280valid
25.0ms96×body640valid
14.0ms253×body80valid
8.0ms51×body320valid
2.0ms19×body160valid

simplify110.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1627
21087
31777
42797
57707
610757
715997
835857
947127
1050017

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp (- 0.0 im)) (exp im))
0.0b
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log *-un-lft-identity add-cbrt-cube
associate-*r* add-log-exp
add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
flip3-+ associate-*r/ flip-+ distribute-lft-out
+-commutative distribute-rgt-in distribute-lft-in associate-*l* sum-log *-commutative
Counts
2 → 35
Calls
2 calls:
6.0ms
(+ (exp (- 0.0 im)) (exp im))
11.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (exp (- 0.0 im)) (exp im))
15.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify38.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0265349
11200295
25001294

prune58.0ms

Filtered
41 candidates to 28 candidates (31.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh000
Picked011
Done000
Total39342

Merged error: 0.0b

Counts
42 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (exp (- 0.0 im)) (exp im))
0.0b
(+ (exp (- 0.0 im)) (exp im))
0.4b
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
0.5b
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
16×*-un-lft-identity
14×sqrt-div associate-*r*
10×associate-*r/
flip3-+ pow-prod-down prod-exp cbrt-unprod flip-+
add-sqr-sqrt add-cube-cbrt sqrt-prod add-log-exp
frac-times distribute-lft-out
+-commutative associate-*l* associate-*l/ sum-log *-commutative
Counts
4 → 81
Calls
4 calls:
7.0ms
(+ (exp (- 0.0 im)) (exp im))
7.0ms
(+ (exp (- 0.0 im)) (exp im))
14.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
22.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series40.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (exp (- 0.0 im)) (exp im))
4.0ms
(+ (exp (- 0.0 im)) (exp im))
18.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))
14.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify54.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04071087
11824905
25001894

prune155.0ms

Filtered
93 candidates to 59 candidates (36.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh011
Picked011
Done011
Total92496

Merged error: 0b

Counts
96 → 4

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
0.3b
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im))))))
0.3b
(* (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
0.4b
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
284×sqrt-div
210×cbrt-div
168×frac-times
142×flip3-+ flip-+
134×associate-*r/
66×pow1
61×add-exp-log
60×associate-*l/
55×cbrt-prod
43×add-sqr-sqrt
42×pow-prod-down
41×prod-exp cbrt-unprod
40×add-cbrt-cube
39×*-un-lft-identity
36×sqrt-prod
28×associate-*r*
21×add-cube-cbrt
14×swap-sqr
13×associate-*l*
unswap-sqr
distribute-lft-out
pow1/3
*-commutative add-log-exp
pow-sqr pow-prod-up
pow2 pow-plus
Counts
4 → 267
Calls
4 calls:
22.0ms
(* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
32.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im))))))
46.0ms
(* (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
14.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
41.0ms
(* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im))))))
20.0ms
(* (* (* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im)))) (* (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))) (cbrt (sqrt (+ (exp (- 0.0 im)) (exp im)))))
29.0ms
(* (* 0.5 (sin re)) (sqrt (+ (exp (- 0.0 im)) (exp im))))

simplify91.0ms

Algorithm
egg-herbie
Counts
279 → 279
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
011489833
150019013

prune937.0ms

Filtered
279 candidates to 140 candidates (49.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2790279
Fresh011
Picked011
Done022
Total2794283

Merged error: 0b

Counts
283 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
0.0b
(sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.0b
(sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
0.3b
(* (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
20×associate-*r/
17×pow-prod-up
16×sqrt-div
14×pow1/2
11×add-exp-log add-sqr-sqrt *-un-lft-identity pow-sqr add-cbrt-cube
add-cube-cbrt flip3-+ flip-+
associate-*r*
sqrt-prod
associate-*l*
frac-times swap-sqr prod-exp cbrt-unprod add-log-exp
associate-*l/ *-commutative
pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out unswap-sqr
Counts
4 → 125
Calls
4 calls:
11.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
9.0ms
(sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
12.0ms
(sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
24.0ms
(* (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

series97.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))
33.0ms
(sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
31.0ms
(sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im))))
20.0ms
(* (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))) (sqrt (* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))))

simplify76.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
04371362
122141203
250021119

prune171.0ms

Filtered
137 candidates to 68 candidates (50.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1370137
Fresh000
Picked011
Done033
Total1374141

Merged error: 0b

Counts
141 → 4

regimes282.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.3s2918×body1280valid
640.0ms2442×body640valid
493.0ms8531×body80valid
219.0ms1257×body320valid
74.0ms618×body160valid

Profiling

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