Details

Time bar (total: 1.4m)

sample431.0ms

Algorithm
intervals
Results
184.0ms105×body1280valid
86.0ms63×body640valid
80.0ms25×body2560valid
59.0ms25×body320valid
7.0ms30×body80valid
4.0msbody160valid

simplify8.0ms

Calls
1 calls:
Slowest
8.0ms
(- (tan (+ x eps)) (tan x))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.2b

localize25.0ms

Local error

Found 2 expressions with local error:

3.4b
(tan (+ x eps))
1.1b
(- (tan (+ x eps)) (tan x))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
prod-diff add-cube-cbrt
tan-quot add-log-exp
fma-neg
expm1-log1p-u pow1 tan-sum add-cbrt-cube add-exp-log frac-sub insert-posit16 log1p-expm1-u
sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
Calls
2 calls:
Slowest
14.0ms
(- (tan (+ x eps)) (tan x))
4.0ms
(tan (+ x eps))

series194.0ms

Calls
2 calls:
Slowest
117.0ms
(- (tan (+ x eps)) (tan x))
78.0ms
(tan (+ x eps))

simplify1.7s

Calls
35 calls:
Slowest
292.0ms
(- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x)))
173.0ms
(+ (* x (pow eps 2)) (+ eps (* (pow x 2) eps)))
135.0ms
(* (- 1 (* (tan x) (tan eps))) (cos x))
110.0ms
(+ x (+ (* 1/3 (pow x 3)) eps))
77.0ms
(fma 1 (tan (+ x eps)) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))))

prune468.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 15.2b

localize36.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (/ (+ (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))))

rewrite132.0ms

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/
tan-quot
add-cbrt-cube add-exp-log add-log-exp
pow1 flip3-- flip--
div-inv
expm1-log1p-u insert-posit16 log1p-expm1-u associate-/l*
associate-/r* fma-def associate-*r* associate-*l* associate-/l/
flip3-+ frac-add flip-+ difference-of-squares
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
82.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
28.0ms
(/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))))
10.0ms
(* (tan x) (tan eps))
9.0ms
(+ (tan x) (tan eps))

series1.0s

Calls
4 calls:
Slowest
498.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
272.0ms
(/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))))
136.0ms
(+ (tan x) (tan eps))
109.0ms
(* (tan x) (tan eps))

simplify18.2s

Calls
199 calls:
Slowest
639.0ms
(fma (/ (* (cbrt (+ (tan x) (tan eps))) (cbrt (+ (tan x) (tan eps)))) (* (cbrt (- 1 (* (tan x) (tan eps)))) (cbrt (- 1 (* (tan x) (tan eps)))))) (/ (cbrt (+ (tan x) (tan eps))) (cbrt (- 1 (* (tan x) (tan eps))))) (- (* (cbrt (tan x)) (* (cbrt (tan x)) (cbrt (tan x))))))
578.0ms
(/ (* (* (+ (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)))))
456.0ms
(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))))))
415.0ms
(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
(fma (/ 1 (sqrt (- 1 (* (tan x) (tan eps))))) (/ (+ (tan x) (tan eps)) (sqrt (- 1 (* (tan x) (tan eps))))) (- (* (sqrt (tan x)) (sqrt (tan x)))))

prune2.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 15.1b

localize52.0ms

Local error

Found 4 expressions with local error:

2.0b
(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
pow-prod-up
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-*r* associate-*l*
expm1-log1p-u pow-plus insert-posit16 log1p-expm1-u add-log-exp
*-commutative
pow2
fma-udef
Calls
4 calls:
Slowest
36.0ms
(* (* (tan x) (tan eps)) (* (tan x) (tan eps)))
24.0ms
(* (* (tan eps) (tan x)) (* (tan eps) (tan x)))
5.0ms
(* (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)))

series1.6s

Calls
4 calls:
Slowest
1.1s
(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)))
187.0ms
(* (* (tan eps) (tan x)) (* (tan eps) (tan x)))
147.0ms
(* (* (tan x) (tan eps)) (* (tan x) (tan eps)))
143.0ms
(* (tan eps) (tan x))

simplify6.9s

Calls
120 calls:
Slowest
553.0ms
(- (+ (/ (* (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)))
552.0ms
(- (+ (/ (* (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)))
488.0ms
(* (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan eps) (tan eps)) (tan eps))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan eps) (tan eps)) (tan eps))))
471.0ms
(* (* (* (* (tan eps) (tan eps)) (tan eps)) (* (* (tan x) (tan x)) (tan x))) (* (* (* (tan eps) (tan eps)) (tan eps)) (* (* (tan x) (tan x)) (tan x))))
326.0ms
(* (* (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* (tan x) (tan eps))) (* (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* (tan x) (tan eps))))

prune2.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 13.0b

localize112.0ms

Local error

Found 4 expressions with local error:

2.0b
(- (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 x) (cos x)) (/ (sin x) (cos x)))
0.3b
(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))
0.3b
(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
83×*-un-lft-identity
82×times-frac
81×add-cube-cbrt
40×add-cbrt-cube add-exp-log
39×associate-*r* associate-*l* prod-diff
19×pow1
12×cbrt-undiv div-exp prod-exp cbrt-unprod
div-inv
add-log-exp
expm1-log1p-u insert-posit16 log1p-expm1-u
pow2 frac-times pow-plus fma-neg pow-prod-down associate-*l/ associate-*r/ *-commutative pow-prod-up
difference-of-squares
sub-neg flip3-- diff-log associate--l+ fma-udef flip-- distribute-lft-out--
Calls
4 calls:
Slowest
10.0ms
(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))
9.0ms
(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))
9.0ms
(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))
7.0ms
(- (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)))

series1.7s

Calls
4 calls:
Slowest
1.5s
(- (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)))
73.0ms
(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))
59.0ms
(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))
50.0ms
(* (/ (sin x) (cos x)) (/ (sin x) (cos x)))

simplify33.3s

Calls
222 calls:
Slowest
1.0s
(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))))))
831.0ms
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718.0ms
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699.0ms
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686.0ms
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prune3.8s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.9b

regimes172.0ms

Accuracy

92.1% (1.2b remaining)

Error of 6.2b against oracle of 5.0b and baseline of 19.9b

bsearch326.0ms

end0.0ms

sample9.2s

Algorithm
intervals
Results
5.2s3361×body1280valid
1.7s1816×body640valid
1.4s618×body2560valid
432.0ms792×body320valid
205.0ms1066×body80valid
155.0ms347×body160valid