Details

Time bar (total: 1.3m)

sample450.0ms

Algorithm
intervals
Results
199.0ms99×body1280valid
104.0ms59×body640valid
99.0ms28×body2560valid
20.0ms24×body320valid
8.0ms34×body80valid
7.0ms12×body160valid

simplify16.0ms

Calls
1 calls:
Slowest
16.0ms
(- (tan (+ x eps)) (tan x))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.8b

localize16.0ms

Local error

Found 2 expressions with local error:

2.5b
(tan (+ x eps))
1.5b
(- (tan (+ x eps)) (tan x))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
9×prod-diff add-cube-cbrt
4×tan-quot add-log-exp
3×fma-neg
2×expm1-log1p-u pow1 tan-sum add-cbrt-cube add-exp-log frac-sub insert-posit16 log1p-expm1-u
1×sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
Calls
2 calls:
Slowest
25.0ms
(- (tan (+ x eps)) (tan x))
2.0ms
(tan (+ x eps))

series165.0ms

Calls
2 calls:
Slowest
111.0ms
(- (tan (+ x eps)) (tan x))
54.0ms
(tan (+ x eps))

simplify1.5s

Calls
35 calls:
Slowest
208.0ms
(+ (* x (pow eps 2)) (+ eps (* (pow x 2) eps)))
207.0ms
(- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x)))
124.0ms
(* (- 1 (* (tan x) (tan eps))) (cos x))
81.0ms
(+ x (+ (* 1/3 (pow x 3)) eps))
57.0ms
(fma (* (cbrt (tan (+ x eps))) (cbrt (tan (+ x eps)))) (cbrt (tan (+ x eps))) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))))

prune523.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 15.9b

localize33.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
0.2b
(* (tan x) (tan eps))
0.1b
(+ (tan x) (tan eps))
0.1b
(/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))))

rewrite104.0ms

Algorithm
rewrite-expression-head
Rules
102×*-un-lft-identity
71×add-sqr-sqrt
66×add-cube-cbrt
61×times-frac
54×prod-diff
18×fma-neg
17×distribute-lft-out
10×associate-/r/
9×tan-quot
8×add-cbrt-cube add-exp-log add-log-exp
6×pow1 flip3-- flip--
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l*
3×associate-/r* fma-def associate-*r* associate-*l* associate-/l/
2×flip3-+ frac-add flip-+ difference-of-squares
1×frac-times cbrt-undiv +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-exp pow-prod-down associate-*l/ prod-exp associate-*r/ *-commutative frac-sub cbrt-unprod distribute-lft-out--
Calls
4 calls:
Slowest
54.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
30.0ms
(/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))))
10.0ms
(+ (tan x) (tan eps))
5.0ms
(* (tan x) (tan eps))

series887.0ms

Calls
4 calls:
Slowest
423.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
265.0ms
(/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))))
102.0ms
(+ (tan x) (tan eps))
98.0ms
(* (tan x) (tan eps))

simplify18.9s

Calls
199 calls:
Slowest
593.0ms
(+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps)))))
593.0ms
(/ (* (* (+ (tan x) (tan eps)) (+ (tan x) (tan eps))) (+ (tan x) (tan eps))) (* (* (- 1 (* (tan x) (tan eps))) (- 1 (* (tan x) (tan eps)))) (- 1 (* (tan x) (tan eps)))))
389.0ms
(fma (/ 1 (sqrt (- 1 (* (tan x) (tan eps))))) (/ (+ (tan x) (tan eps)) (sqrt (- 1 (* (tan x) (tan eps))))) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))))
381.0ms
(fma (/ 1 (sqrt (- 1 (* (tan x) (tan eps))))) (/ (+ (tan x) (tan eps)) (sqrt (- 1 (* (tan x) (tan eps))))) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))))
368.0ms
(/ (+ (tan x) (tan eps)) (- (pow 1 3) (pow (* (tan x) (tan eps)) 3)))

prune2.1s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 15.8b

localize64.0ms

Local error

Found 4 expressions with local error:

2.7b
(fma (/ (+ (tan x) (tan eps)) (- 1 (* (* (* (tan eps) (tan x)) (* (tan eps) (tan x))) (* (tan eps) (tan x))))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps))))) (- (tan x)))
0.3b
(* (* (tan x) (tan eps)) (* (tan x) (tan eps)))
0.3b
(* (* (tan eps) (tan x)) (* (tan eps) (tan x)))
0.2b
(* (tan eps) (tan x))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
68×tan-quot
60×pow1
35×frac-times
30×add-cbrt-cube add-exp-log
27×pow-prod-down
23×associate-*l/ associate-*r/
17×prod-exp cbrt-unprod
8×pow-prod-up
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×associate-*r* associate-*l*
4×expm1-log1p-u pow-plus insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×pow2
1×fma-udef
Calls
4 calls:
Slowest
30.0ms
(* (* (tan eps) (tan x)) (* (tan eps) (tan x)))
24.0ms
(* (* (tan x) (tan eps)) (* (tan x) (tan eps)))
10.0ms
(* (tan eps) (tan x))
1.0ms
(fma (/ (+ (tan x) (tan eps)) (- 1 (* (* (* (tan eps) (tan x)) (* (tan eps) (tan x))) (* (tan eps) (tan x))))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps))))) (- (tan x)))

series1.4s

Calls
4 calls:
Slowest
997.0ms
(fma (/ (+ (tan x) (tan eps)) (- 1 (* (* (* (tan eps) (tan x)) (* (tan eps) (tan x))) (* (tan eps) (tan x))))) (+ (* 1 1) (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* 1 (* (tan x) (tan eps))))) (- (tan x)))
155.0ms
(* (* (tan eps) (tan x)) (* (tan eps) (tan x)))
149.0ms
(* (* (tan x) (tan eps)) (* (tan x) (tan eps)))
118.0ms
(* (tan eps) (tan x))

simplify6.2s

Calls
120 calls:
Slowest
543.0ms
(* (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan eps) (tan eps)) (tan eps))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan eps) (tan eps)) (tan eps))))
507.0ms
(* (* (* (* (tan eps) (tan eps)) (tan eps)) (* (* (tan x) (tan x)) (tan x))) (* (* (* (tan eps) (tan eps)) (tan eps)) (* (* (tan x) (tan x)) (tan x))))
391.0ms
(- (+ (/ (* (pow (sin x) 2) (sin eps)) (* (pow (cos x) 2) (* (cos eps) (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3))))))) (+ (/ (* (pow (sin x) 3) (pow (sin eps) 2)) (* (pow (cos x) 3) (* (pow (cos eps) 2) (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3))))))) (+ (/ (* (sin x) (pow (sin eps) 2)) (* (cos x) (* (pow (cos eps) 2) (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3))))))) (+ (/ (* (pow (sin x) 2) (pow (sin eps) 3)) (* (pow (cos x) 2) (* (pow (cos eps) 3) (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3))))))) (+ (/ (sin eps) (* (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3)))) (cos eps))) (/ (sin x) (* (cos x) (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3))))))))))) (/ (sin x) (cos x)))
388.0ms
(- (+ (/ (* (pow (sin x) 2) (sin eps)) (* (pow (cos x) 2) (* (cos eps) (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3))))))) (+ (/ (* (pow (sin x) 3) (pow (sin eps) 2)) (* (pow (cos x) 3) (* (pow (cos eps) 2) (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3))))))) (+ (/ (* (sin x) (pow (sin eps) 2)) (* (cos x) (* (pow (cos eps) 2) (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3))))))) (+ (/ (* (pow (sin x) 2) (pow (sin eps) 3)) (* (pow (cos x) 2) (* (pow (cos eps) 3) (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3))))))) (+ (/ (sin eps) (* (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3)))) (cos eps))) (/ (sin x) (* (cos x) (- 1 (/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3))))))))))) (/ (sin x) (cos x)))
276.0ms
(* (* (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* (tan x) (tan eps))) (* (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* (tan x) (tan eps))))

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 13.8b

localize129.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))))))) (/ (sin x) (cos x)))
0.3b
(* (sin eps) (sin eps))
0.3b
(* (sin eps) (sin eps))
0.3b
(* (sin eps) (sin eps))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
47×*-un-lft-identity
45×add-cube-cbrt
39×prod-diff
28×times-frac
19×pow1
10×add-cbrt-cube add-exp-log
9×associate-*r* associate-*l*
6×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×pow2 pow-plus fma-neg pow-prod-down prod-exp *-commutative pow-prod-up cbrt-unprod sqr-sin div-inv sin-mult
2×difference-of-squares
1×sub-neg flip3-- diff-log associate--l+ fma-udef flip-- distribute-lft-out--
Calls
4 calls:
Slowest
13.0ms
(- (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))))))) (/ (sin x) (cos x)))
8.0ms
(* (sin eps) (sin eps))
8.0ms
(* (sin eps) (sin eps))
8.0ms
(* (sin eps) (sin eps))

series1.1s

Calls
4 calls:
Slowest
1.1s
(- (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))))))) (/ (sin x) (cos x)))
16.0ms
(* (sin eps) (sin eps))
15.0ms
(* (sin eps) (sin eps))
15.0ms
(* (sin eps) (sin eps))

simplify31.7s

Calls
138 calls:
Slowest
813.0ms
(fma (sqrt (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))))))))))) (sqrt (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))))))))))) (- (* (/ (sqrt (sin x)) (sqrt (cos x))) (/ (sqrt (sin x)) (sqrt (cos x))))))
716.0ms
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679.0ms
(fma (* (cbrt (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))))))))))) (cbrt (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))))))))) (cbrt (fma (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (/ (sin x) (cos x)) (/ (/ (* (sin eps) (sin eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (* (cos eps) (cos eps))) (fma (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (+ (/ (/ (sin eps) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps))))))) (cos eps)) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (/ (sin eps) (/ (* (* (cos eps) (cos eps)) (cos eps)) (* (sin eps) (sin eps)))))))))))) (- (* (/ (cbrt (sin x)) (sqrt (cos x))) (/ (* (cbrt (sin x)) (cbrt (sin x))) (sqrt (cos x))))))
673.0ms
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665.0ms
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prune2.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.5b

regimes229.0ms

Accuracy

93.1% (1.0b remaining)

Error of 5.9b against oracle of 4.9b and baseline of 19.8b

bsearch316.0ms

end0.0ms

sample9.8s

Algorithm
intervals
Results
5.2s3243×body1280valid
2.0s1823×body640valid
1.5s658×body2560valid
531.0ms804×body320valid
256.0ms1110×body80valid
194.0ms362×body160valid