Details

Time bar (total: 5.1s)

analyze347.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
62.4%37.5%0.1%5
62.4%37.5%0.1%6
62.4%31.2%6.3%7
62.4%31.2%6.3%8
62.4%28.1%9.5%9
62.4%28.1%9.5%10
62.4%26.5%11%11
62.4%26.5%11%12
62.4%25.8%11.8%13
62.4%25.8%11.8%14

sample103.0ms

Algorithm
intervals
Results
26.0ms46×body1280valid
18.0ms53×body1280invalid
11.0ms38×body640valid
11.0ms47×body640invalid
9.0ms145×body80valid
4.0ms74×body80invalid
4.0ms20×body320valid
3.0ms17×body320invalid
1.0ms8×body160invalid
1.0ms7×body160valid

simplify58.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
0494612
1494612

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.3b

Counts
2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (exp (- 0.0 im)) (exp im))
0.2b
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
4×associate-*r* add-log-exp
3×add-sqr-sqrt add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×flip3-+ associate-*r/ flip-+ distribute-lft-out
1×+-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))
14.0ms
(* (* 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))
16.0ms
(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify46.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04970485
14970485

prune78.0ms

Filtered
29 candidates to 41 candidates (-41.4%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New38341
Fresh000
Picked101
Done000
Total39342

Merged error: 0.2b

Counts
42 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
7×pow1 add-cube-cbrt *-un-lft-identity associate-*r* add-cbrt-cube
6×associate-*l*
5×add-exp-log add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×+-commutative sub-neg flip3-+ exp-diff associate-*r/ exp-sum sum-log flip-+ distribute-lft-out
Counts
3 → 50
Calls
3 calls:
11.0ms
(+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))
5.0ms
(* (sin re) (exp im))
10.0ms
(* (sin re) (exp (- 0.0 im)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(+ (* 0.5 (* (sin re) (exp (- 0.0 im)))) (* 0.5 (* (sin re) (exp im))))
7.0ms
(* (sin re) (exp im))
8.0ms
(* (sin re) (exp (- 0.0 im)))

simplify51.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04970572
14970572

prune94.0ms

Filtered
43 candidates to 59 candidates (-37.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New57259
Fresh112
Picked011
Done000
Total58462

Merged error: 0.0b

Counts
62 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
17×*-un-lft-identity sqrt-prod
14×associate-*r*
13×pow1 add-cube-cbrt
12×sqrt-pow1
11×add-exp-log add-cbrt-cube
10×exp-prod
7×exp-diff sqrt-div
4×sub-neg associate-*r/ associate-*l* exp-sum pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square pow1/2 *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
1×frac-times associate-*l/
Counts
4 → 89
Calls
4 calls:
9.0ms
(* (sin re) (sqrt (exp (- 0.0 im))))
15.0ms
(* (* (sin re) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im))))
4.0ms
(sqrt (exp (- 0.0 im)))
4.0ms
(sqrt (exp (- 0.0 im)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (sin re) (sqrt (exp (- 0.0 im))))
8.0ms
(* (* (sin re) (sqrt (exp (- 0.0 im)))) (sqrt (exp (- 0.0 im))))
3.0ms
(sqrt (exp (- 0.0 im)))
5.0ms
(sqrt (exp (- 0.0 im)))

simplify44.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
05060795

prune191.0ms

Filtered
72 candidates to 101 candidates (-40.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1010101
Fresh022
Picked011
Done011
Total1014105

Merged error: 0.0b

Counts
105 → 4

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (exp (- 0.0 im)) (exp im))
0.3b
(* (sin re) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
1.0b
(/ (* 0.5 (* (sin re) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
4.8b
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
17×add-cbrt-cube
15×add-exp-log
14×add-sqr-sqrt
12×associate-*r*
10×add-cube-cbrt
9×exp-diff
8×pow1 associate-*r/ associate-/r/
7×associate-*l*
6×frac-add add-log-exp
5×prod-exp cbrt-unprod distribute-lft-out
4×unpow-prod-down exp-prod flip3-- cube-prod flip--
3×cbrt-undiv flip3-+ times-frac div-exp associate-*l/ associate-/r* flip-+
2×frac-times sub-neg pow-prod-down *-commutative pow-prod-up associate-/l/ unswap-sqr
1×distribute-rgt-in distribute-rgt-out-- frac-2neg distribute-lft-in diff-log exp-sum clear-num sum-cubes div-inv associate-/l* distribute-lft-out--
Counts
4 → 95
Calls
4 calls:
11.0ms
(* (exp (- 0.0 im)) (exp im))
18.0ms
(* (sin re) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
38.0ms
(/ (* 0.5 (* (sin re) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
6.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(* (exp (- 0.0 im)) (exp im))
22.0ms
(* (sin re) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))
67.0ms
(/ (* 0.5 (* (sin re) (+ (pow (exp (- 0.0 im)) 3) (pow (exp im) 3)))) (+ (* (exp (- 0.0 im)) (exp (- 0.0 im))) (- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))))
7.0ms
(- (* (exp im) (exp im)) (* (exp (- 0.0 im)) (exp im)))

simplify58.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
063831946

prune305.0ms

Filtered
77 candidates to 107 candidates (-39.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done022
Total1074111

Merged error: 0.0b

Counts
111 → 4

regimes139.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06717
16717

end0.0ms

sample3.2s

Algorithm
intervals
Results
803.0ms1487×body1280valid
695.0ms1578×body1280invalid
354.0ms1207×body640valid
298.0ms1265×body640invalid
280.0ms4415×body80valid
150.0ms2420×body80invalid
109.0ms608×body320valid
107.0ms627×body320invalid
41.0ms315×body160invalid
37.0ms283×body160valid

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