Details

Time bar (total: 1.6m)

sample193.0ms

Algorithm
intervals
Results
57.0ms265×body80valid
43.0ms45×body640valid
40.0ms23×body1280valid
16.0ms23×body320valid
8.0ms15×body160valid

simplify335.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
334.0ms
(* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.7b

localize24.0ms

Local error

Found 4 expressions with local error:

3.3b
(cos (/ (+ phi2 phi1) 2))
0.2b
(* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
0.1b
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R)
0.0b
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
6×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×hypot-udef flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 67
Calls
4 calls:
Slowest
24.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
15.0ms
(cos (/ (+ phi2 phi1) 2))
6.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R)
0.0ms
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
670.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R)
559.0ms
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))
123.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
38.0ms
(cos (/ (+ phi2 phi1) 2))

simplify3.8s

Counts
34 → 79
Calls
34 calls:
Slowest
542.0ms
(* (* (* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))) (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))) (* (* R R) R))
443.0ms
(* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))
385.0ms
(- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi2 2))))
317.0ms
(- (+ (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) R)) (+ (/ (* phi1 (* R phi2)) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (/ (* phi1 (* lambda2 (* R phi2))) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))))))
305.0ms
(+ (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) R)) (+ (/ (* R (* phi1 phi2)) (* lambda1 (cos (* 1/2 (+ phi1 phi2))))) (/ (* R (* lambda2 (* phi1 phi2))) (* (pow lambda1 2) (cos (* 1/2 (+ phi1 phi2)))))))

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.4b

localize34.0ms

Local error

Found 4 expressions with local error:

3.3b
(cos (* 1/2 (+ phi1 phi2)))
0.2b
(* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))
0.1b
(* (hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2)) R)
0.0b
(hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
10×*-un-lft-identity
8×pow1 add-cbrt-cube associate-*l* add-exp-log add-cube-cbrt
6×associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×cos-sum pow-prod-down associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×distribute-rgt-in hypot-udef distribute-lft-in flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 69
Calls
4 calls:
Slowest
28.0ms
(* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))
11.0ms
(cos (* 1/2 (+ phi1 phi2)))
6.0ms
(* (hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2)) R)
0.0ms
(hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2))

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
633.0ms
(* (hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2)) R)
514.0ms
(hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2))
132.0ms
(* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))
38.0ms
(cos (* 1/2 (+ phi1 phi2)))

simplify3.8s

Counts
36 → 81
Calls
36 calls:
Slowest
441.0ms
(* (* (* (hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2)) (hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2))) (hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2))) (* (* R R) R))
416.0ms
(* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (cos (* 1/2 (+ phi1 phi2)))))
392.0ms
(- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2))))
363.0ms
(- (+ (* lambda2 (* (cos (* 1/2 (+ phi1 phi2))) R)) (+ (/ (* phi1 (* R phi2)) (* (cos (* 1/2 (+ phi1 phi2))) lambda1)) (/ (* phi1 (* lambda2 (* R phi2))) (* (cos (* 1/2 (+ phi1 phi2))) (pow lambda1 2))))))
287.0ms
(* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (* 1/2 (+ phi1 phi2))))

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))))
0.1b
(* (sin (* phi1 1/2)) (sin (* phi2 1/2)))
0.1b
(- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))
0.1b
(* (hypot (* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) (- phi1 phi2)) R)

rewrite437.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
12×*-un-lft-identity
11×associate-*l*
10×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
9×flip3-- associate-*r* flip-- sin-mult
8×frac-times cos-mult
6×add-log-exp
4×expm1-log1p-u associate-*r/ frac-sub insert-posit16 log1p-expm1-u sub-div
3×distribute-rgt-in sub-neg distribute-lft-in prod-diff pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×associate-*l/
1×fma-neg diff-log distribute-lft-out-- difference-of-squares
Counts
4 → 105
Calls
4 calls:
Slowest
304.0ms
(* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))))
68.0ms
(- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))
50.0ms
(* (sin (* phi1 1/2)) (sin (* phi2 1/2)))
12.0ms
(* (hypot (* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) (- phi1 phi2)) R)

series22.4s

Counts
4 → 12
Calls
4 calls:
Slowest
21.4s
(* (hypot (* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) (- phi1 phi2)) R)
760.0ms
(* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))))
162.0ms
(- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))
76.0ms
(* (sin (* phi1 1/2)) (sin (* phi2 1/2)))

simplify18.5s

Counts
77 → 117
Calls
77 calls:
Slowest
1.1s
(- (+ (* (/ (* phi1 (* (pow (cos (* 1/2 phi2)) 2) (* R (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) phi2))))) (pow lambda1 2)) (sqrt (/ 1 (pow (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 3)))) (+ (* (/ (* R (* phi1 phi2)) lambda1) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))))) (+ (* (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) R))) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))))) (+ (* (/ (* (pow (sin (* 1/2 phi2)) 2) (* R (* phi1 (* lambda2 (* (pow (sin (* 1/2 phi1)) 2) phi2))))) (pow lambda1 2)) (sqrt (/ 1 (pow (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 3)))) (* (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (* (pow (sin (* 1/2 phi1)) 2) R))) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))))))))) (+ (* 2 (* (/ (* (sin (* 1/2 phi2)) (* R (* (cos (* 1/2 phi2)) (* phi1 (* lambda2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) phi2))))))) (pow lambda1 2)) (sqrt (/ 1 (pow (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 3))))) (* 2 (* (* (sin (* 1/2 phi2)) (* R (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda2))))) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (+ (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))) (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))))))))
1.1s
(- (+ (* 2 (* (/ (* (sin (* 1/2 phi2)) (* R (* (cos (* 1/2 phi2)) (* phi1 (* lambda2 (* (cos (* 1/2 phi1)) (* (sin (* 1/2 phi1)) phi2))))))) (pow lambda1 2)) (sqrt (/ 1 (pow (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (* 2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 3))))) (* 2 (* (* (sin (* 1/2 phi2)) (* R (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (* (cos (* 1/2 phi1)) lambda2))))) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (* 2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))))))) (+ (* (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (* 2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))))) (/ (* phi1 (* R phi2)) lambda1)) (+ (* (* (pow (cos (* 1/2 phi2)) 2) (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) R))) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (* 2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))))) (+ (* (* (pow (sin (* 1/2 phi2)) 2) (* lambda2 (* (pow (sin (* 1/2 phi1)) 2) R))) (sqrt (/ 1 (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (* 2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1)))))))))) (+ (* (sqrt (/ 1 (pow (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (* 2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 3))) (/ (* phi1 (* (pow (cos (* 1/2 phi2)) 2) (* R (* lambda2 (* (pow (cos (* 1/2 phi1)) 2) phi2))))) (pow lambda1 2))) (* (/ (* (pow (sin (* 1/2 phi2)) 2) (* R (* phi1 (* (pow (sin (* 1/2 phi1)) 2) (* lambda2 phi2))))) (pow lambda1 2)) (sqrt (/ 1 (pow (- (+ (* (pow (cos (* 1/2 phi2)) 2) (pow (cos (* 1/2 phi1)) 2)) (* (pow (sin (* 1/2 phi2)) 2) (pow (sin (* 1/2 phi1)) 2))) (* 2 (* (sin (* 1/2 phi2)) (* (cos (* 1/2 phi2)) (* (sin (* 1/2 phi1)) (cos (* 1/2 phi1))))))) 3)))))))))
838.0ms
(+ (log (hypot (* (- lambda1 lambda2) (- (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) (- phi1 phi2))) (log R))
746.0ms
(* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (+ (cos (+ (* phi1 1/2) (* phi2 1/2))) (cos (- (* phi1 1/2) (* phi2 1/2)))) 2) (* 2 (- (cos (- (* phi1 1/2) (* phi2 1/2))) (cos (+ (* phi1 1/2) (* phi2 1/2)))))))
720.0ms
(* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (+ (cos (+ (* phi1 1/2) (* phi2 1/2))) (cos (- (* phi1 1/2) (* phi2 1/2)))) (- (cos (- (* phi1 1/2) (* phi2 1/2))) (cos (+ (* phi1 1/2) (* phi2 1/2))))))

prune2.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize133.0ms

Local error

Found 4 expressions with local error:

0.5b
(pow (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) 3)
0.3b
(* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))
0.3b
(* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))
0.2b
(/ (* (- lambda1 lambda2) (- (pow (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) 3) (pow (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) 3))) (+ (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2)))) (+ (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))))))

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
75×cos-mult
62×sin-mult
60×frac-add
58×pow1
39×frac-times
36×add-cbrt-cube add-exp-log
35×associate-*r/ associate-/r/
33×associate-*l/
26×pow-prod-down
18×prod-exp cbrt-unprod
14×associate-/l/
13×cube-div
8×flip3-- flip--
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u flip3-+ pow-sqr pow-prod-up flip-+ insert-posit16 log1p-expm1-u add-log-exp
3×pow-unpow associate-/r* times-frac frac-sub sub-div
2×cbrt-undiv pow-pow pow-plus div-exp associate-*r* associate-*l* pow-exp *-commutative rem-cube-cbrt
1×pow2 cube-mult pow-to-exp clear-num unpow-prod-down frac-2neg unpow3 cube-prod swap-sqr div-inv associate-/l* sqr-pow
Counts
4 → 167
Calls
4 calls:
Slowest
729.0ms
(/ (* (- lambda1 lambda2) (- (pow (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) 3) (pow (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) 3))) (+ (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2)))) (+ (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))))))
178.0ms
(* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))
153.0ms
(* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))
32.0ms
(pow (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) 3)

series2.0s

Counts
4 → 12
Calls
4 calls:
Slowest
1.6s
(/ (* (- lambda1 lambda2) (- (pow (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) 3) (pow (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) 3))) (+ (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2)))) (+ (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))))))
202.0ms
(* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))
97.0ms
(pow (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) 3)
85.0ms
(* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))

simplify26.2s

Counts
140 → 179
Calls
140 calls:
Slowest
1.3s
(+ (* (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2))))) (- (* (+ (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) (+ (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))))) (* (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (cos (* phi1 1/2)) (cos (* phi2 1/2)))) (+ (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))))))
1.1s
(* (* 2 2) (+ (* (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) (- (* (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) (* (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))))))
1.0s
(* 2 (+ (* (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) (- (* (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))) (* (* (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2)))) (* (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) (* (sin (* phi1 1/2)) (sin (* phi2 1/2))))))))
990.0ms
(* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (pow (pow (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) 3) 3) (pow (pow (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) 3) 3)))
974.0ms
(* (- (pow lambda1 3) (pow lambda2 3)) (- (pow (pow (* (cos (* phi1 1/2)) (cos (* phi2 1/2))) 3) 3) (pow (pow (* (sin (* phi1 1/2)) (sin (* phi2 1/2))) 3) 3)))

prune5.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes731.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch4.0ms

end0.0ms

sample6.8s

Algorithm
intervals
Results
2.6s8339×body80valid
1.4s1227×body640valid
1.2s817×body1280valid
900.0ms725×body320valid
194.0ms387×body160valid