Details

sample231.0ms

Algorithm

intervals

Results

69.0ms	28×	body	1280	valid
59.0ms	270×	body	80	valid
49.0ms	42×	body	640	valid
16.0ms	22×	body	320	valid
7.0ms	14×	body	160	valid

simplify332.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

332.0ms

(* R (sqrt (+ (* (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2))) (* (- lambda1 lambda2) (cos (/ (+ phi1 phi2) 2)))) (* (- phi1 phi2) (- phi1 phi2)))))

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.6b

localize34.0ms

Local error

Found 4 expressions with local error:

3.1b	(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))

rewrite73.0ms

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

36.0ms	(* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
24.0ms	(cos (/ (+ phi2 phi1) 2))
12.0ms	(* (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

682.0ms	(* (hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2)) R)
570.0ms	(hypot (* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2))) (- phi1 phi2))
112.0ms	(* (- lambda1 lambda2) (cos (/ (+ phi2 phi1) 2)))
38.0ms	(cos (/ (+ phi2 phi1) 2))

simplify3.5s

Counts

34 → 79

Calls

34 calls:

Slowest

590.0ms	(* (* (* (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))
456.0ms	(* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (/ (+ phi2 phi1) 2)) (cos (/ (+ phi2 phi1) 2))) (cos (/ (+ phi2 phi1) 2))))
355.0ms	(- (+ (* 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))))))
304.0ms	(* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (/ (+ phi2 phi1) 2)))
283.0ms	(- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi2 2))))

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 3.4b

localize39.0ms

Local error

Found 4 expressions with local error:

3.1b	(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))

rewrite63.0ms

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

40.0ms	(* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))
13.0ms	(* (hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2)) R)
8.0ms	(cos (* 1/2 (+ phi1 phi2)))
0.0ms	(hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

659.0ms	(* (hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2)) R)
541.0ms	(hypot (* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2)))) (- phi1 phi2))
123.0ms	(* (- lambda1 lambda2) (cos (* 1/2 (+ phi1 phi2))))
31.0ms	(cos (* 1/2 (+ phi1 phi2)))

simplify3.5s

Counts

36 → 81

Calls

36 calls:

Slowest

431.0ms	(* (* (* (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))
381.0ms	(* (* (* (- lambda1 lambda2) (- lambda1 lambda2)) (- lambda1 lambda2)) (* (* (cos (* 1/2 (+ phi1 phi2))) (cos (* 1/2 (+ phi1 phi2)))) (cos (* 1/2 (+ phi1 phi2)))))
319.0ms	(- (+ (* 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))))))
316.0ms	(- 1 (+ (* 1/4 (* phi1 phi2)) (* 1/8 (pow phi1 2))))
243.0ms	(* (- (* lambda1 lambda1) (* lambda2 lambda2)) (cos (* 1/2 (+ phi1 phi2))))

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite349.0ms

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

238.0ms	(* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))
65.0ms	(- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))
34.0ms	(* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))
11.0ms	(* (hypot (* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))) (- phi1 phi2)) R)

series22.1s

Counts

4 → 12

Calls

4 calls:

Slowest

21.6s	(* (hypot (* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))) (- phi1 phi2)) R)
346.0ms	(* (- lambda1 lambda2) (- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))))
127.0ms	(- (* (cos (* 1/2 phi1)) (cos (* 1/2 phi2))) (* (sin (* 1/2 phi1)) (sin (* 1/2 phi2))))
100.0ms	(* (sin (* 1/2 phi1)) (sin (* 1/2 phi2)))

simplify18.1s

Counts

77 → 117

Calls

77 calls:

Slowest

1.3s	(- (+ (* (/ (* 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)))))))))
784.0ms	(* (- (* 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))))))
770.0ms	(* (fma (- (sin (* 1/2 phi2))) (sin (* 1/2 phi1)) (* (sin (* 1/2 phi2)) (sin (* 1/2 phi1)))) (- lambda1 lambda2))
698.0ms	(* (- (* 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)))))))

prune2.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin (* phi1 1/2)) (* (sin (* 1/2 phi2)) (- lambda2 lambda1)))
0.2b	(- (* (sin (* phi1 1/2)) (* (sin (* 1/2 phi2)) (- lambda2 lambda1))) (* (* (cos (* 1/2 phi2)) (cos (* phi1 1/2))) (- lambda2 lambda1)))
0.2b	(* (* (cos (* 1/2 phi2)) (cos (* phi1 1/2))) (- lambda2 lambda1))
0.1b	(* (sin (* 1/2 phi2)) (- lambda2 lambda1))

rewrite352.0ms

Algorithm

rewrite-expression-head

Rules

127×	`prod-diff`
121×	`distribute-rgt-in` `distribute-lft-in`
98×	`add-sqr-sqrt`
96×	`*-un-lft-identity`
92×	`add-cube-cbrt`
44×	`associate--l+`
38×	`associate-*r/`
22×	`associate--r+`
16×	`pow1` `flip3--` `add-cbrt-cube` `add-exp-log` `flip--`
15×	`sub-neg`
11×	`associate-r`
10×	`frac-sub`
9×	`cos-mult`
7×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`frac-times` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`associate-l/` `-commutative`
2×	`distribute-lft-out--` `sub-div` `difference-of-squares`
1×	`fma-neg` `diff-log` `unswap-sqr`

Counts

4 → 259

Calls

4 calls:

Slowest

134.0ms	(- (* (sin (* phi1 1/2)) (* (sin (* 1/2 phi2)) (- lambda2 lambda1))) (* (* (cos (* 1/2 phi2)) (cos (* phi1 1/2))) (- lambda2 lambda1)))
110.0ms	(* (* (cos (* 1/2 phi2)) (cos (* phi1 1/2))) (- lambda2 lambda1))
70.0ms	(* (sin (* phi1 1/2)) (* (sin (* 1/2 phi2)) (- lambda2 lambda1)))
32.0ms	(* (sin (* 1/2 phi2)) (- lambda2 lambda1))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

730.0ms	(- (* (sin (* phi1 1/2)) (* (sin (* 1/2 phi2)) (- lambda2 lambda1))) (* (* (cos (* 1/2 phi2)) (cos (* phi1 1/2))) (- lambda2 lambda1)))
238.0ms	(* (sin (* phi1 1/2)) (* (sin (* 1/2 phi2)) (- lambda2 lambda1)))
221.0ms	(* (* (cos (* 1/2 phi2)) (cos (* phi1 1/2))) (- lambda2 lambda1))
131.0ms	(* (sin (* 1/2 phi2)) (- lambda2 lambda1))

simplify46.0s

Counts

238 → 271

Calls

238 calls:

Slowest

909.0ms	(* (* (fma (* (cbrt lambda2) (cbrt lambda2)) (cbrt lambda2) (- (* (cbrt lambda1) (* (cbrt lambda1) (cbrt lambda1))))) (sin (* 1/2 phi2))) (sin (* phi1 1/2)))
844.0ms	(- (* (* (sin (* phi1 1/2)) (* (sin (* 1/2 phi2)) (- (pow lambda2 3) (pow lambda1 3)))) (* 2 (+ (* lambda2 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda1))))) (* (+ (* lambda2 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda1))) (* (+ (cos (+ (* 1/2 phi2) (* phi1 1/2))) (cos (- (* 1/2 phi2) (* phi1 1/2)))) (- (pow lambda2 3) (pow lambda1 3)))))
830.0ms	(* (+ (* lambda2 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda1))) (* 2 (+ (* lambda2 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda1)))))
709.0ms	(* (+ lambda2 lambda1) (* 2 (+ (* lambda2 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda1)))))
705.0ms	(- (* (* (sin (* phi1 1/2)) (* (sin (* 1/2 phi2)) (- (* lambda2 lambda2) (* lambda1 lambda1)))) (* 2 (+ (* lambda2 lambda2) (+ (* lambda1 lambda1) (* lambda2 lambda1))))) (* (+ lambda2 lambda1) (* (+ (cos (+ (* 1/2 phi2) (* phi1 1/2))) (cos (- (* 1/2 phi2) (* phi1 1/2)))) (- (pow lambda2 3) (pow lambda1 3)))))

prune5.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes773.0ms

Accuracy

0% (0.1b remaining)

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

bsearch7.0ms

end0.0ms

sample7.3s

Algorithm

intervals

Results

2.5s	8337×	body	80	valid
1.9s	1315×	body	640	valid
1.2s	796×	body	1280	valid
656.0ms	372×	body	160	valid
565.0ms	749×	body	320	valid