Details

Time bar (total: 20.6s)

analyze2.8s

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
7.8%92%0.2%9
7.8%92%0.2%10
10.1%89.7%0.2%11
10.1%89.7%0.2%12
13.9%85.9%0.2%13
13.9%85.9%0.2%14

sample533.0ms

Algorithm
intervals
Results
209.0ms142×body1280valid
56.0ms72×body640valid
9.0ms17×body320valid
3.0ms22×body80valid
1.0ms3×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
038424
138424

prune22.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.4b

Counts
2 → 2

localize85.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos phi2) (* (sin phi1) (cos (- lambda1 lambda2))))
0.2b
(* (sin phi1) (cos (- lambda1 lambda2)))
16.2b
(cos (- lambda1 lambda2))
16.5b
(sin (- lambda1 lambda2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×cos-diff add-cube-cbrt *-un-lft-identity
6×associate-*l*
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×sub-neg *-commutative sin-cos-mult
1×cos-sum sin-sum associate-*r/ sin-diff unswap-sqr
Counts
4 → 62
Calls
4 calls:
6.0ms
(* (cos phi2) (* (sin phi1) (cos (- lambda1 lambda2))))
5.0ms
(* (sin phi1) (cos (- lambda1 lambda2)))
4.0ms
(cos (- lambda1 lambda2))
4.0ms
(sin (- lambda1 lambda2))

series49.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (cos phi2) (* (sin phi1) (cos (- lambda1 lambda2))))
12.0ms
(* (sin phi1) (cos (- lambda1 lambda2)))
4.0ms
(cos (- lambda1 lambda2))
5.0ms
(sin (- lambda1 lambda2))

simplify63.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04919693
14919693

prune149.0ms

Filtered
54 candidates to 74 candidates (-37.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New65974
Fresh101
Picked101
Done000
Total67976

Merged error: 6.7b

Counts
76 → 9

localize122.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos phi1) (sin phi2))
0.2b
(* (cos phi2) (* (sin phi1) (cos (- lambda1 lambda2))))
0.2b
(* (sin phi1) (cos (- lambda1 lambda2)))
16.2b
(cos (- lambda1 lambda2))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity associate-*l*
7×cos-diff associate-*r*
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×*-commutative
2×sin-cos-mult unswap-sqr
1×sub-neg cos-sum associate-*r/
Counts
4 → 71
Calls
4 calls:
4.0ms
(* (cos phi1) (sin phi2))
6.0ms
(* (cos phi2) (* (sin phi1) (cos (- lambda1 lambda2))))
5.0ms
(* (sin phi1) (cos (- lambda1 lambda2)))
4.0ms
(cos (- lambda1 lambda2))

series47.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (cos phi1) (sin phi2))
23.0ms
(* (cos phi2) (* (sin phi1) (cos (- lambda1 lambda2))))
12.0ms
(* (sin phi1) (cos (- lambda1 lambda2)))
4.0ms
(cos (- lambda1 lambda2))

simplify51.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04889755
14889755

prune169.0ms

Filtered
59 candidates to 83 candidates (-40.7%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New78583
Fresh268
Picked101
Done000
Total811192

Merged error: 0.1b

Counts
92 → 11

localize113.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cos phi1) (sin phi2))
0.2b
(* (cos phi2) (* (sin phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
0.2b
(* (sin lambda1) (sin lambda2))
0.2b
(* (sin phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
9×associate-*r/
6×pow-prod-down prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in
4×*-commutative add-log-exp
3×sin-mult unswap-sqr
2×flip3-+ frac-add cos-mult flip-+
Counts
4 → 85
Calls
4 calls:
4.0ms
(* (cos phi1) (sin phi2))
10.0ms
(* (cos phi2) (* (sin phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
5.0ms
(* (sin lambda1) (sin lambda2))
8.0ms
(* (sin phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))

series92.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (cos phi1) (sin phi2))
47.0ms
(* (cos phi2) (* (sin phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
9.0ms
(* (sin lambda1) (sin lambda2))
27.0ms
(* (sin phi1) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))

simplify34.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
050811210

prune177.0ms

Filtered
66 candidates to 97 candidates (-47.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New92597
Fresh5510
Picked101
Done000
Total9810108

Merged error: 0.0b

Counts
108 → 10

localize122.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
0.4b
(cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
0.4b
(cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
0.4b
(cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1 flip3-+ frac-add cos-mult flip-+ sin-mult
9×frac-times pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 97
Calls
4 calls:
14.0ms
(* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
5.0ms
(cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
5.0ms
(cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
5.0ms
(cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))

series137.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))) (cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2)))))
31.0ms
(cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
31.0ms
(cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))
35.0ms
(cbrt (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))))

simplify64.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050432415

prune131.0ms

Filtered
74 candidates to 109 candidates (-47.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1090109
Fresh099
Picked011
Done000
Total10910119

Merged error: 0.0b

Counts
119 → 10

regimes626.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
012165
112165

end0.0ms

sample15.0s

Algorithm
intervals
Results
6.6s4627×body1280valid
1.6s1945×body640valid
296.0ms555×body320valid
109.0ms665×body80valid
69.0ms208×body160valid

Profiling

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