Details

Time bar (total: 11.6s)

sample291.0ms

Algorithm
intervals
Results
168.0ms97×body1280valid
62.0ms64×body640valid
13.0ms20×body320valid
13.0ms67×body80valid
4.0ms8×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05333
15333

prune19.0ms

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: 0.1b

Counts
2 → 2

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (sin theta) (sin delta))
0.3b
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
0.3b
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
0.5b
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*r* associate-*l* add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod sin-mult unswap-sqr
1×sub-neg asin-acos flip3-- diff-log flip--
Counts
4 → 58
Calls
4 calls:
5.0ms
(* (sin theta) (sin delta))
6.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
2.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
5.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

series111.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(* (sin theta) (sin delta))
43.0ms
(* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))))
7.0ms
(asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta))))
50.0ms
(- (cos delta) (* (sin phi1) (sin (asin (+ (* (sin phi1) (cos delta)) (* (* (cos phi1) (sin delta)) (cos theta)))))))

simplify49.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049551229
149551229

prune167.0ms

Filtered
55 candidates to 70 candidates (-27.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh101
Picked101
Done000
Total65772

Merged error: 0.0b

Counts
72 → 7

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
0.3b
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
0.3b
(pow (cos delta) 3)
0.5b
(pow (* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta))))))) 3)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×pow-unpow
4×unpow-prod-down cube-prod add-log-exp
3×pow-pow pow-exp rem-cube-cbrt
2×cube-mult pow-to-exp asin-acos unpow3 sqr-pow
1×cube-div pow-prod-down prod-exp cbrt-unprod sin-mult
Counts
4 → 62
Calls
4 calls:
2.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
2.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
3.0ms
(pow (cos delta) 3)
6.0ms
(pow (* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta))))))) 3)

series88.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
6.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
5.0ms
(pow (cos delta) 3)
71.0ms
(pow (* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta))))))) 3)

simplify36.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
055151027

prune187.0ms

Filtered
50 candidates to 74 candidates (-48.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh066
Picked101
Done000
Total73881

Merged error: 0.0b

Counts
81 → 8

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
0.3b
(pow (sin phi1) 3)
0.3b
(pow (cos delta) 3)
0.6b
(pow (+ (* (sin phi1) (cos delta)) (* (cos phi1) (* (sin delta) (cos theta)))) 3)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down pow-unpow cube-prod
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×cube-div cube-mult pow-to-exp pow-pow unpow3 pow-exp rem-cube-cbrt sqr-pow
2×sin-cos-mult
1×asin-acos flip3-+ associate-*r/ frac-add flip-+
Counts
4 → 80
Calls
4 calls:
2.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
3.0ms
(pow (sin phi1) 3)
3.0ms
(pow (cos delta) 3)
9.0ms
(pow (+ (* (sin phi1) (cos delta)) (* (cos phi1) (* (sin delta) (cos theta)))) 3)

series74.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
6.0ms
(pow (sin phi1) 3)
5.0ms
(pow (cos delta) 3)
57.0ms
(pow (+ (* (sin phi1) (cos delta)) (* (cos phi1) (* (sin delta) (cos theta)))) 3)

simplify34.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
051151061

prune196.0ms

Filtered
51 candidates to 92 candidates (-80.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New92092
Fresh077
Picked011
Done000
Total928100

Merged error: 0.0b

Counts
100 → 8

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
0.3b
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
0.3b
(/ (- (* (cos delta) (cos delta)) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (pow (sin phi1) 2)))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))))))
0.3b
(- (* (cos delta) (cos delta)) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (pow (sin phi1) 2))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log add-cbrt-cube add-log-exp
4×pow1
3×associate-/r* associate-/l*
2×asin-acos flip3-- associate-/r/ flip-- associate-/l/
1×cbrt-undiv sub-neg sqr-cos frac-2neg flip3-+ diff-log div-sub div-exp associate--l+ clear-num flip-+ div-inv
Counts
4 → 61
Calls
4 calls:
2.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
2.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
12.0ms
(/ (- (* (cos delta) (cos delta)) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (pow (sin phi1) 2)))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))))))
8.0ms
(- (* (cos delta) (cos delta)) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (pow (sin phi1) 2))))

series539.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
6.0ms
(asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))
343.0ms
(/ (- (* (cos delta) (cos delta)) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (pow (sin phi1) 2)))) (+ (cos delta) (* (sin phi1) (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))))))
183.0ms
(- (* (cos delta) (cos delta)) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (* (sin (asin (+ (* (cos delta) (sin phi1)) (* (cos phi1) (* (sin delta) (cos theta)))))) (pow (sin phi1) 2))))

simplify45.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
050903590

prune156.0ms

Filtered
58 candidates to 73 candidates (-25.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New73073
Fresh066
Picked011
Done011
Total73881

Merged error: 0.0b

Counts
81 → 8

regimes546.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04686
14686

end0.0ms

sample8.8s

Algorithm
intervals
Results
5.4s3227×body1280valid
1.8s1783×body640valid
523.0ms765×body320valid
415.0ms1955×body80valid
120.0ms270×body160valid

Profiling

Loading profile data...