Details

Time bar (total: 46.0s)

sample815.0ms

Algorithm
intervals
Results
441.0ms93×body1280valid
178.0ms69×body640valid
112.0ms63×body80valid
38.0ms20×body320valid
14.0ms11×body160valid

simplify87.0ms

Counts
1 → 1
Iterations
IterNodes
done64
364
259
136
022

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize101.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin delta) (* (cos phi1) (sin theta)))
0.3b
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
0.4b
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.6b
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
6×associate-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u
3×fma-neg prod-diff
2×*-commutative
1×asin-acos sub-neg flip3-- diff-log flip-- sin-mult unswap-sqr
Counts
4 → 75
Calls
4 calls:
49.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
23.0ms
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
1.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
14.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))

series644.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
239.0ms
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
10.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
302.0ms
(- (cos delta) (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))

simplify2.6s

Counts
87 → 87
Iterations
IterNodes
done5001
33468
21021
1377
0170

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize117.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
0.4b
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.6b
(- (cos delta) (log (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))
2.6b
(log (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×*-un-lft-identity
18×prod-diff add-cube-cbrt
13×log-pow
11×pow1
9×add-log-exp
6×log-prod add-cbrt-cube add-exp-log
4×expm1-log1p-u exp-prod exp-to-pow insert-posit16 log1p-expm1-u
3×fma-neg associate-*r* associate-*l* associate--r+
2×distribute-lft-out--
1×asin-acos sub-neg flip3-- diff-log rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-- sin-mult difference-of-squares unswap-sqr
Counts
4 → 92
Calls
4 calls:
22.0ms
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
1.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
20.0ms
(- (cos delta) (log (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))
10.0ms
(log (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))

series727.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
6.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
256.0ms
(- (cos delta) (log (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1)))))))))
239.0ms
(log (exp (* (sin phi1) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))

simplify3.6s

Counts
104 → 104
Iterations
IterNodes
done5000
32669
2848
1381
0175

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize100.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sin delta) (* (cos phi1) (sin theta)))
0.4b
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.6b
(fma 1 (cos delta) (- (* (log (exp (sin phi1))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
2.5b
(log (exp (sin phi1)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-cbrt-cube add-exp-log
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u log-pow insert-posit16 log1p-expm1-u add-log-exp
3×log-prod exp-prod associate-*l* pow-prod-down prod-exp cbrt-unprod
1×asin-acos rem-log-exp associate-*r* *-commutative fma-udef
Counts
4 → 61
Calls
4 calls:
24.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
1.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.0ms
(fma 1 (cos delta) (- (* (log (exp (sin phi1))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
5.0ms
(log (exp (sin phi1)))

series378.0ms

Counts
4 → 12
Calls
4 calls:
114.0ms
(* (sin delta) (* (cos phi1) (sin theta)))
7.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
248.0ms
(fma 1 (cos delta) (- (* (log (exp (sin phi1))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
8.0ms
(log (exp (sin phi1)))

simplify2.1s

Counts
73 → 73
Iterations
IterNodes
done5000
31865
2688
1277
0143

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize113.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (cbrt (* (sin phi1) (* (sin phi1) (sin phi1)))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
0.4b
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.6b
(fma 1 (cos delta) (- (* (cbrt (* (sin phi1) (* (sin phi1) (sin phi1)))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
20.5b
(cbrt (* (sin phi1) (* (sin phi1) (sin phi1))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 *-un-lft-identity add-exp-log add-cube-cbrt
5×add-cbrt-cube
4×expm1-log1p-u associate-*l* insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r*
2×cbrt-prod cbrt-div associate-*r/ sin-mult
1×asin-acos pow1/3 cube-unmult pow-prod-down associate-*l/ prod-exp *-commutative rem-cbrt-cube cbrt-unprod fma-udef unswap-sqr
Counts
4 → 59
Calls
4 calls:
35.0ms
(* (cbrt (* (sin phi1) (* (sin phi1) (sin phi1)))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
1.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
0.0ms
(fma 1 (cos delta) (- (* (cbrt (* (sin phi1) (* (sin phi1) (sin phi1)))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
15.0ms
(cbrt (* (sin phi1) (* (sin phi1) (sin phi1))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt (* (sin phi1) (* (sin phi1) (sin phi1)))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))
11.0ms
(asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))
249.0ms
(fma 1 (cos delta) (- (* (cbrt (* (sin phi1) (* (sin phi1) (sin phi1)))) (sin (asin (fma (cos theta) (* (cos phi1) (sin delta)) (* (cos delta) (sin phi1))))))))
12.0ms
(cbrt (* (sin phi1) (* (sin phi1) (sin phi1))))

simplify3.3s

Counts
71 → 71
Iterations
IterNodes
done5000
44888
31663
2655
1271
0134

prune825.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes628.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done43
243
141
028

end0.0ms

sample25.5s

Algorithm
intervals
Results
15.9s3105×body1280valid
5.8s1828×body640valid
1.6s709×body320valid
1.4s2024×body80valid
434.0ms334×body160valid