Details

Time bar (total: 1.4m)

sample236.0ms

Algorithm
intervals
Results
97.0ms279×body80valid
52.0ms44×body640valid
29.0ms19×body1280valid
18.0ms21×body320valid
6.0ms11×body160valid

simplify346.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
346.0ms
(* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize35.0ms

Local error

Found 4 expressions with local error:

3.7b
(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))

rewrite71.0ms

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
41.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
15.0ms
(cos (/ (+ phi2 phi1) 2))
12.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R)
1.0ms
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
652.0ms
(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R)
554.0ms
(hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))
128.0ms
(* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
37.0ms
(cos (/ (+ phi2 phi1) 2))

simplify3.7s

Counts
34 → 79
Calls
34 calls:
Slowest
742.0ms
(* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))
497.0ms
(* (* (* (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))
304.0ms
(* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))
290.0ms
(+ (* 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)))))))
271.0ms
(- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi2 2))))

prune1.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 4.2b

localize49.0ms

Local error

Found 4 expressions with local error:

3.7b
(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))

rewrite62.0ms

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
38.0ms
(* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))
16.0ms
(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
646.0ms
(* (hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2)) R)
486.0ms
(hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2))
141.0ms
(* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))
27.0ms
(cos (* 1/2 (+ phi1 phi2)))

simplify3.7s

Counts
36 → 81
Calls
36 calls:
Slowest
389.0ms
(* (* (* (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))
373.0ms
(- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2))))
359.0ms
(* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (cos (* 1/2 (+ phi1 phi2)))))
324.0ms
(- (+ (* 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))))))
303.0ms
(+ (* 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)))))))

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize59.0ms

Local error

Found 4 expressions with local error:

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

rewrite470.0ms

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
325.0ms
(* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))
97.0ms
(- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))
38.0ms
(* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))
8.0ms
(* (hypot (* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))) (- phi1 phi2)) R)

series22.0s

Counts
4 → 12
Calls
4 calls:
Slowest
21.4s
(* (hypot (* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))) (- phi1 phi2)) R)
359.0ms
(* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))
149.0ms
(- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))
89.0ms
(* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))

simplify17.7s

Counts
77 → 117
Calls
77 calls:
Slowest
1.2s
(- (+ (* (/ (* 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)))))))))
827.0ms
(- (+ (cos (+ (* 1/2 phi1) (* 1/2 phi2))) (cos (- (* 1/2 phi1) (* 1/2 phi2)))) (- (cos (- (* 1/2 phi1) (* 1/2 phi2))) (cos (+ (* 1/2 phi1) (* 1/2 phi2)))))
699.0ms
(* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (+ (cos (+ (* 1/2 phi1) (* 1/2 phi2))) (cos (- (* 1/2 phi1) (* 1/2 phi2)))) (- (cos (- (* 1/2 phi1) (* 1/2 phi2))) (cos (+ (* 1/2 phi1) (* 1/2 phi2))))))
694.0ms
(* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (+ (cos (+ (* 1/2 phi1) (* 1/2 phi2))) (cos (- (* 1/2 phi1) (* 1/2 phi2)))) 2) (* 2 (- (cos (- (* 1/2 phi1) (* 1/2 phi2))) (cos (+ (* 1/2 phi1) (* 1/2 phi2)))))))

prune2.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize58.0ms

Local error

Found 4 expressions with local error:

4.4b
(log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))
0.2b
(* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))
0.2b
(* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))))
0.1b
(- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))))

rewrite306.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×prod-diff
15×*-un-lft-identity
13×add-cube-cbrt
12×pow1 log-pow
9×add-log-exp
8×distribute-rgt-in distribute-lft-in add-cbrt-cube associate-*l* add-exp-log
7×flip3-- flip--
6×log-prod associate-*r*
4×expm1-log1p-u frac-times exp-prod exp-to-pow insert-posit16 log1p-expm1-u
3×sub-neg associate--r+
2×pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log rem-log-exp sin-mult distribute-lft-out-- difference-of-squares
Counts
4 → 111
Calls
4 calls:
Slowest
182.0ms
(* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))))
57.0ms
(- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))))
54.0ms
(* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))
10.0ms
(log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))

series626.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
314.0ms
(* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))))
147.0ms
(- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))))
94.0ms
(* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))
71.0ms
(log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))

simplify17.6s

Counts
85 → 123
Calls
85 calls:
Slowest
846.0ms
(* (- (* lambda1 lambda1) (* lambda2 lambda2)) (- (* (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2)))) (* (log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))) (log (exp (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))))))
708.0ms
(* (fma (- (log (exp (sin (* 1/2 phi1))))) (sin (* 1/2 phi2)) (* (log (exp (sin (* 1/2 phi1)))) (sin (* 1/2 phi2)))) (- lambda1 lambda2))
689.0ms
(* (- lambda1 lambda2) (fma (- (log (exp (sin (* 1/2 phi1))))) (sin (* 1/2 phi2)) (* (log (exp (sin (* 1/2 phi1)))) (sin (* 1/2 phi2)))))
664.0ms
(* (fma (- (log (exp (sin (* 1/2 phi1))))) (sin (* 1/2 phi2)) (* (log (exp (sin (* 1/2 phi1)))) (sin (* 1/2 phi2)))) (- lambda1 lambda2))
628.0ms
(* (- lambda1 lambda2) (fma (- (log (exp (sin (* 1/2 phi1))))) (sin (* 1/2 phi2)) (* (log (exp (sin (* 1/2 phi1)))) (sin (* 1/2 phi2)))))

prune2.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.1s

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample6.7s

Algorithm
intervals
Results
2.4s8375×body80valid
1.9s1307×body640valid
1.2s784×body1280valid
628.0ms724×body320valid
146.0ms349×body160valid