Details

Time bar (total: 46.3s)

sample1.4s

Algorithm
intervals
Results
973.0ms154×body1280valid
209.0ms76×body640valid
32.0ms18×body320valid
6.0ms6×body160valid
1.0ms2×body80valid

simplify81.0ms

Counts
1 → 1

prune59.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.5b

localize80.0ms

Local error

Found 4 expressions with local error:

4.3b
(cos (- lambda1 lambda2))
1.1b
(acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))
0.3b
(* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))
0.2b
(fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
11×cos-sum
9×prod-diff
6×pow1 add-cbrt-cube add-exp-log
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
1×acos-asin cos-diff sub-neg pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 65
Calls
4 calls:
Slowest
22.0ms
(cos (- lambda1 lambda2))
12.0ms
(* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))
1.0ms
(acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))
0.0ms
(fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))

series353.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
243.0ms
(fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))
50.0ms
(cos (- lambda1 lambda2))
43.0ms
(* R (acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1)))))
17.0ms
(acos (fma (* (cos phi1) (cos phi2)) (cos (- lambda1 lambda2)) (* (sin phi2) (sin phi1))))

simplify2.0s

Counts
77 → 77

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.1b

localize54.0ms

Local error

Found 4 expressions with local error:

1.1b
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))
0.3b
(fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))
0.2b
(* R (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))))
0.2b
(* (sin lambda1) (sin lambda2))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
6×associate-*r* associate-*l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×acos-asin fma-udef sin-mult
Counts
4 → 65
Calls
4 calls:
Slowest
19.0ms
(* (sin lambda1) (sin lambda2))
6.0ms
(* R (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))))
1.0ms
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))
0.0ms
(fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))

series559.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
430.0ms
(fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))
71.0ms
(* (sin lambda1) (sin lambda2))
38.0ms
(* R (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1)))))
20.0ms
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (* (sin lambda1) (sin lambda2))) (* (sin phi2) (sin phi1))))

simplify2.6s

Counts
77 → 77

prune2.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.0b

localize129.0ms

Local error

Found 4 expressions with local error:

3.9b
(log (exp (* (sin lambda1) (sin lambda2))))
1.1b
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1))))
0.3b
(fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))
0.2b
(* R (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×pow1 *-un-lft-identity add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×log-prod associate-*r* associate-*l* log-pow
1×acos-asin exp-prod exp-to-pow rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 60
Calls
4 calls:
Slowest
11.0ms
(* R (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))))
10.0ms
(log (exp (* (sin lambda1) (sin lambda2))))
1.0ms
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1))))
0.0ms
(fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))

series541.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
385.0ms
(fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))
86.0ms
(log (exp (* (sin lambda1) (sin lambda2))))
59.0ms
(* R (acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1)))))
11.0ms
(acos (fma (* (cos phi1) (cos phi2)) (+ (* (cos lambda1) (cos lambda2)) (log (exp (* (sin lambda1) (sin lambda2))))) (* (sin phi2) (sin phi1))))

simplify2.3s

Counts
72 → 72

prune1.9s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.0b

localize98.0ms

Local error

Found 4 expressions with local error:

1.1b
(acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))
0.9b
(log (exp (acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))))
0.4b
(exp (acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))
0.2b
(* R (log (exp (acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity add-cube-cbrt
9×log-prod exp-prod
8×pow1 log-pow
7×associate-*r*
6×add-cbrt-cube add-exp-log
5×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×distribute-rgt-in acos-asin distribute-lft-in associate-*l*
2×exp-diff
1×log-div rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr rem-exp-log
Counts
4 → 76
Calls
4 calls:
Slowest
12.0ms
(* R (log (exp (acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))))
5.0ms
(log (exp (acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))))
4.0ms
(exp (acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))
1.0ms
(acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
62.0ms
(exp (acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))
30.0ms
(* R (log (exp (acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2))))))))
10.0ms
(acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))
10.0ms
(log (exp (acos (fma (sin phi1) (sin phi2) (* (fma (cos lambda2) (cos lambda1) (* (sin lambda2) (sin lambda1))) (* (cos phi1) (cos phi2)))))))

simplify2.2s

Counts
88 → 88

prune2.2s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.9b

regimes1.2s

Accuracy

0% (0.5b remaining)

Error of 3.8b against oracle of 3.4b and baseline of 3.8b

bsearch8.0ms

end0.0ms

sample24.6s

Algorithm
intervals
Results
17.4s4787×body1280valid
4.8s2143×body640valid
1.2s665×body320valid
502.0ms144×body80valid
232.0ms252×body160valid
50.0ms9×body2560valid