Details

Time bar (total: 3.2m)

sample61.0ms

Algorithm
intervals
Results
29.0ms256×body80valid
10.0ms256×pre80true

simplify578.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
578.0ms
(/ (/ (* (* i (+ (+ alpha beta) i)) (+ (* beta alpha) (* i (+ (+ alpha beta) i)))) (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i)))) (- (* (+ (+ alpha beta) (* 2 i)) (+ (+ alpha beta) (* 2 i))) 1.0))

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.5b

localize52.0ms

Local error

Found 4 expressions with local error:

45.8b
(/ (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i)) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))))
36.2b
(/ (/ (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i)) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (- (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) 1.0))
0.1b
(* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))
0.0b
(* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))

rewrite244.0ms

Algorithm
rewrite-expression-head
Rules
61×add-cbrt-cube add-exp-log
28×add-sqr-sqrt
26×times-frac
22×prod-exp cbrt-unprod
20×*-un-lft-identity add-cube-cbrt
19×cbrt-undiv div-exp
16×pow1
7×div-inv
6×associate-*l* associate-/l* difference-of-squares
5×associate-/r*
4×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ associate-*r/ insert-posit16 log1p-expm1-u add-log-exp
3×swap-sqr associate-/l/
2×clear-num frac-2neg flip3-+ associate-/r/ *-commutative flip-+ fma-udef
1×pow2 distribute-rgt-in distribute-lft-in pow-plus flip3-- pow-sqr pow-prod-up flip-- unswap-sqr
Counts
4 → 142
Calls
4 calls:
Slowest
89.0ms
(/ (/ (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i)) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (- (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) 1.0))
79.0ms
(/ (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i)) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))))
63.0ms
(* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))
11.0ms
(* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
403.0ms
(/ (/ (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i)) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (- (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) 1.0))
345.0ms
(/ (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i)) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))))
211.0ms
(* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))
94.0ms
(* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))

simplify34.7s

Counts
128 → 154
Calls
128 calls:
Slowest
2.3s
(/ (* (* (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i)) (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))) (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))) (* (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))))
1.8s
(/ (* (* (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma (+ (+ alpha beta) i) i (* beta alpha))) (* (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (* (+ (+ alpha beta) i) i))) (* (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))) (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta)))))
1.8s
(/ (* (* (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i)) (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))) (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (* (+ (+ alpha beta) i) i))) (* (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta))) (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta)))))
1.7s
(/ (* (* (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma (+ (+ alpha beta) i) i (* beta alpha))) (* (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (* (+ (+ alpha beta) i) i))) (* (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta))) (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta)))))
1.3s
(* (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta))) (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta))))

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 35.6b

localize60.0ms

Local error

Found 4 expressions with local error:

37.3b
(/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))
36.8b
(/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))
0.1b
(* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))))
0.0b
(/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
266×times-frac
193×*-un-lft-identity
174×add-sqr-sqrt
125×add-cube-cbrt
70×add-cbrt-cube add-exp-log
58×associate-*l*
48×associate-*r*
33×cbrt-undiv div-exp
27×distribute-lft-out
20×div-inv
17×associate-/l*
16×prod-exp cbrt-unprod
14×difference-of-squares
10×associate-/r*
7×sqrt-prod distribute-lft-out--
6×pow1 associate-/r/ unswap-sqr
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg flip3-+ associate-*l/ flip-+ associate-/l/
1×frac-times flip3-- pow-prod-down associate-*r/ *-commutative flip--
Counts
4 → 296
Calls
4 calls:
Slowest
107.0ms
(* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))))
33.0ms
(/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))
16.0ms
(/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))
6.0ms
(/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))

series1.5s

Counts
4 → 12
Calls
4 calls:
Slowest
786.0ms
(* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))))
430.0ms
(/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))
171.0ms
(/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))
126.0ms
(/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))

simplify1.1m

Counts
326 → 308
Calls
326 calls:
Slowest
1.5s
(* (* (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (* (* (/ (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (/ (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0)))))
1.2s
(* (/ (* (* (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))) (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))) (* (* (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (* (* (/ (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (/ (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0)))))
1.1s
(* (* (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (/ (* (* (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))) (* (* (- (fma 2 i (+ alpha beta)) (sqrt 1.0)) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0)))))
627.0ms
(- (log (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))) (log (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))))
598.0ms
(/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (pow (fma 2 i (+ alpha beta)) 3) (pow (sqrt 1.0) 3)))

prune5.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 35.6b

localize59.0ms

Local error

Found 4 expressions with local error:

37.3b
(/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))
36.8b
(/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))
0.1b
(* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))))
0.0b
(/ (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0)))

rewrite294.0ms

Algorithm
rewrite-expression-head
Rules
112×times-frac
94×add-cbrt-cube add-exp-log
90×*-un-lft-identity
77×add-sqr-sqrt
60×add-cube-cbrt
58×associate-*l*
43×cbrt-undiv div-exp
25×prod-exp cbrt-unprod
13×distribute-lft-out
12×associate-/r*
9×div-inv
7×associate-*r*
6×pow1
5×associate-/l* associate-/l/
4×expm1-log1p-u associate-*l/ associate-/r/ insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
3×clear-num frac-2neg unswap-sqr
2×frac-times flip3-+ associate-*r/ sqrt-prod flip-+ distribute-lft-out--
1×flip3-- pow-prod-down *-commutative flip--
Counts
4 → 208
Calls
4 calls:
Slowest
128.0ms
(/ (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0)))
116.0ms
(* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))))
43.0ms
(/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))
4.0ms
(/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))

series2.1s

Counts
4 → 12
Calls
4 calls:
Slowest
1.1s
(* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))))
797.0ms
(/ (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0)))
134.0ms
(/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))
122.0ms
(/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))

simplify44.4s

Counts
190 → 220
Calls
190 calls:
Slowest
1.6s
(/ (* (* (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))) (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))))) (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))))) (* (* (- (fma 2 i (+ alpha beta)) (sqrt 1.0)) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))))
1.3s
(* (* (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (/ (* (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (* (+ (+ alpha beta) i) i)) (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta)))))
1.3s
(/ (* (* (* (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (/ (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (* (* (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))))) (* (* (- (fma 2 i (+ alpha beta)) (sqrt 1.0)) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))) (- (fma 2 i (+ alpha beta)) (sqrt 1.0))))
1.1s
(* (/ (* (* (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta))) (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))) (/ (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma 2 i (+ alpha beta)))) (* (* (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (* (* (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))))
1.0s
(* (/ (/ (* (* (fma (+ (+ alpha beta) i) i (* beta alpha)) (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma (+ (+ alpha beta) i) i (* beta alpha))) (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta)))) (* (* (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0))) (+ (fma 2 i (+ alpha beta)) (sqrt 1.0)))) (* (* (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))) (/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))))

prune3.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 35.6b

localize64.0ms

Local error

Found 4 expressions with local error:

37.2b
(sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))
37.2b
(sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))
36.8b
(/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))
0.1b
(* (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) 1) (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma 2 i (+ alpha beta))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
82×add-sqr-sqrt
61×times-frac
40×*-un-lft-identity
35×sqrt-prod
34×add-cube-cbrt
26×add-exp-log
22×associate-*r* associate-*l*
21×add-cbrt-cube
15×unswap-sqr
9×div-exp
8×pow1
7×prod-exp
6×cbrt-undiv
5×cbrt-unprod
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-/r* associate-*l/ div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 1-exp associate-/l/
1×frac-times clear-num frac-2neg flip3-+ pow-prod-down associate-*r/ *-commutative flip-+ associate-/l*
Counts
4 → 142
Calls
4 calls:
Slowest
42.0ms
(/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))
29.0ms
(* (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) 1) (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma 2 i (+ alpha beta))))
1.0ms
(sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))
1.0ms
(sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))

series445.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
152.0ms
(* (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) 1) (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma 2 i (+ alpha beta))))
135.0ms
(/ (* (+ (+ alpha beta) i) i) (fma 2 i (+ alpha beta)))
83.0ms
(sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))
75.0ms
(sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))

simplify21.2s

Counts
126 → 154
Calls
126 calls:
Slowest
763.0ms
(* (/ (* (* (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))) (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))) (* (* 1 1) 1)) (* (* (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma 2 i (+ alpha beta))) (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma 2 i (+ alpha beta)))) (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma 2 i (+ alpha beta)))))
666.0ms
(+ (- (log (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha)))) 0) (log (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma 2 i (+ alpha beta)))))
666.0ms
(* (* (* (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) 1) (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) 1)) (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) 1)) (* (* (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma 2 i (+ alpha beta))) (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma 2 i (+ alpha beta)))) (/ (sqrt (fma (+ (+ alpha beta) i) i (* beta alpha))) (fma 2 i (+ alpha beta)))))
478.0ms
(/ (* (* (* (+ (+ alpha beta) i) i) (* (+ (+ alpha beta) i) i)) (* (+ (+ alpha beta) i) i)) (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta))))
408.0ms
(/ (* (* (* (+ (+ alpha beta) i) (+ (+ alpha beta) i)) (+ (+ alpha beta) i)) (* (* i i) i)) (* (* (fma 2 i (+ alpha beta)) (fma 2 i (+ alpha beta))) (fma 2 i (+ alpha beta))))

prune2.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 35.6b

regimes288.0ms

Accuracy

9.4% (2.5b remaining)

Error of 36.6b against oracle of 34.1b and baseline of 36.9b

bsearch139.0ms

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.9s8000×body80valid
401.0ms8000×pre80true