Details

Time bar (total: 1.2m)

sample410.0ms

Algorithm
intervals
Results
237.0ms113×body1280valid
76.0ms66×body640valid
56.0ms18×body2560valid
20.0ms26×body320valid
6.0ms12×body160valid
5.0ms21×body80valid

simplify9.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
9.0ms
(- (tan (+ x eps)) (tan x))

prune31.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 41.7b

localize16.0ms

Local error

Found 2 expressions with local error:

5.5b
(tan (+ x eps))
1.5b
(- (tan (+ x eps)) (tan x))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt *-un-lft-identity tan-quot add-log-exp
2×pow1 tan-sum add-cbrt-cube add-exp-log frac-sub add-cube-cbrt insert-posit16
1×sub-neg flip3-- diff-log flip-- distribute-lft-out-- difference-of-squares
Counts
2 → 27
Calls
2 calls:
Slowest
27.0ms
(- (tan (+ x eps)) (tan x))
9.0ms
(tan (+ x eps))

series175.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
110.0ms
(- (tan (+ x eps)) (tan x))
65.0ms
(tan (+ x eps))

simplify1.3s

Counts
15 → 33
Calls
15 calls:
Slowest
450.0ms
(+ x (+ (* 1/3 (pow x 3)) eps))
428.0ms
(- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x)))
166.0ms
(* (- 1 (* (tan x) (tan eps))) (cos x))
107.0ms
(+ (* x (pow eps 2)) (+ eps (* (pow x 2) eps)))
36.0ms
(/ (exp (tan (+ x eps))) (exp (tan x)))

prune361.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 16.4b

localize24.0ms

Local error

Found 4 expressions with local error:

2.1b
(- (/ (+ (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))))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
22×add-sqr-sqrt
15×add-cube-cbrt
13×times-frac
9×tan-quot
8×add-cbrt-cube add-exp-log add-log-exp
6×pow1
5×distribute-lft-out
4×insert-posit16 associate-/l*
3×associate-/r* associate-*r* associate-*l* associate-/l/
2×flip3-+ flip3-- frac-add associate-/r/ flip-+ 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 div-inv distribute-lft-out-- unswap-sqr
Counts
4 → 90
Calls
4 calls:
Slowest
55.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
39.0ms
(/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))))
28.0ms
(* (tan x) (tan eps))
14.0ms
(+ (tan x) (tan eps))

series1.2s

Counts
4 → 12
Calls
4 calls:
Slowest
520.0ms
(- (/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps)))) (tan x))
362.0ms
(/ (+ (tan x) (tan eps)) (- 1 (* (tan x) (tan eps))))
163.0ms
(* (tan x) (tan eps))
125.0ms
(+ (tan x) (tan eps))

simplify5.7s

Counts
74 → 102
Calls
74 calls:
Slowest
499.0ms
(/ (* (* (+ (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)))))
474.0ms
(+ x (+ (* 1/3 (pow x 3)) eps))
460.0ms
(+ x (+ (* 1/3 (pow x 3)) eps))
455.0ms
(- (* (+ (tan x) (tan eps)) (cos x)) (* (- 1 (* (tan x) (tan eps))) (sin x)))
337.0ms
(* (* (* (tan x) (tan x)) (tan x)) (* (* (tan eps) (tan eps)) (tan eps)))

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 16.3b

localize90.0ms

Local error

Found 4 expressions with local error:

2.1b
(- (* (/ (+ (tan x) (tan eps)) (- (pow 1 3) (pow (* (tan x) (tan eps)) 3))) (+ 1 (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* (tan x) (tan eps))))) (tan x))
0.3b
(pow (* (tan x) (tan eps)) 3)
0.3b
(* (* (tan x) (tan eps)) (* (tan x) (tan eps)))
0.2b
(* (tan x) (tan eps))

rewrite283.0ms

Algorithm
rewrite-expression-head
Rules
48×pow1
45×tan-quot
21×frac-times add-cbrt-cube add-exp-log
19×pow-prod-down
15×associate-*r/
14×associate-*l/
10×prod-exp cbrt-unprod
9×add-sqr-sqrt
7×*-un-lft-identity add-cube-cbrt
6×add-log-exp
5×frac-sub
4×associate-*r* associate-*l* pow-sqr pow-prod-up insert-posit16
3×cube-div pow-unpow
2×pow-pow flip3-+ pow-plus pow-exp associate--l+ *-commutative flip-+ rem-cube-cbrt
1×pow2 distribute-rgt-in cube-mult pow-to-exp sub-neg unpow-prod-down distribute-lft-in flip3-- diff-log unpow3 cube-prod swap-sqr flip-- unswap-sqr sqr-pow
Counts
4 → 118
Calls
4 calls:
Slowest
122.0ms
(* (* (tan x) (tan eps)) (* (tan x) (tan eps)))
110.0ms
(- (* (/ (+ (tan x) (tan eps)) (- (pow 1 3) (pow (* (tan x) (tan eps)) 3))) (+ 1 (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* (tan x) (tan eps))))) (tan x))
27.0ms
(* (tan x) (tan eps))
21.0ms
(pow (* (tan x) (tan eps)) 3)

series2.4s

Counts
4 → 12
Calls
4 calls:
Slowest
1.9s
(- (* (/ (+ (tan x) (tan eps)) (- (pow 1 3) (pow (* (tan x) (tan eps)) 3))) (+ 1 (+ (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* (tan x) (tan eps))))) (tan x))
191.0ms
(pow (* (tan x) (tan eps)) 3)
168.0ms
(* (* (tan x) (tan eps)) (* (tan x) (tan eps)))
140.0ms
(* (tan x) (tan eps))

simplify13.2s

Counts
110 → 130
Calls
110 calls:
Slowest
1.1s
(/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3)))
1.1s
(/ (* (pow (sin x) 3) (pow (sin eps) 3)) (* (pow (cos x) 3) (pow (cos eps) 3)))
812.0ms
(* (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan eps) (tan eps)) (tan eps))) (* (* (* (tan x) (tan x)) (tan x)) (* (* (tan eps) (tan eps)) (tan eps))))
685.0ms
(* (* (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* (tan x) (tan eps))) (* (* (* (tan x) (tan eps)) (* (tan x) (tan eps))) (* (tan x) (tan eps))))
632.0ms
(+ (* 1/3 (* (pow x 3) eps)) (+ (* 1/3 (* x (pow eps 3))) (* x eps)))

prune1.8s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 14.1b

localize172.0ms

Local error

Found 4 expressions with local error:

2.1b
(- (+ (* (/ (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))) (/ (sin x) (cos x)))
0.3b
(* (cos eps) (cos eps))
0.3b
(* (cos eps) (cos eps))
0.3b
(* (cos eps) (cos eps))

rewrite2.7s

Algorithm
rewrite-expression-head
Rules
28×frac-add
27×add-sqr-sqrt
25×pow1
23×frac-sub
18×*-un-lft-identity
16×add-cube-cbrt
15×frac-times associate-*r/
13×add-log-exp
10×add-cbrt-cube add-exp-log
9×swap-sqr associate-*r* associate-*l* associate-*l/
8×flip3-+ flip-+
4×insert-posit16
3×pow2 sqr-cos sum-log pow-plus diff-log pow-prod-down prod-exp pow-sqr cos-mult *-commutative pow-prod-up cbrt-unprod unswap-sqr
2×difference-of-squares
1×sub-neg times-frac flip3-- associate--l+ flip-- distribute-lft-out--
Counts
4 → 126
Calls
4 calls:
Slowest
2.6s
(- (+ (* (/ (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))) (/ (sin x) (cos x)))
18.0ms
(* (cos eps) (cos eps))
18.0ms
(* (cos eps) (cos eps))
12.0ms
(* (cos eps) (cos eps))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
1.0s
(- (+ (* (/ (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (+ (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))) (/ (sin x) (cos x)))
28.0ms
(* (cos eps) (cos eps))
28.0ms
(* (cos eps) (cos eps))
20.0ms
(* (cos eps) (cos eps))

simplify27.9s

Counts
136 → 138
Calls
136 calls:
Slowest
1.4s
(* (* (* (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (cos x) (cos x))) (+ (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (- (* (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))))) (cos x))
1.2s
(- (* (+ (* (* (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))) (* (/ (sin x) (cos x)) (/ (sin x) (cos x)))) (- (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))) (* (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))) (- (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))))) (cos x)) (* (* (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))) (- (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))) (sin x)))
1.1s
(* (* (* (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))) (cos x)) (+ (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (- (* (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))))) (cos x))
1.1s
(* (* (* (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))) (cos x)) (+ (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (- (* (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))))) (cos x))
968.0ms
(- (* (+ (* (* (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))) (* (sin x) (sin x))) (+ (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (- (* (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))))) (* (* (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (cos x) (cos x))) (+ (pow (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) 3) (pow (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) 3)))) (cos x)) (* (* (* (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))) (* (cos x) (cos x))) (+ (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (- (* (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps))))))) (* (/ (/ (sin eps) (cos eps)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))) (/ (/ (sin x) (cos x)) (- 1 (* (* (* (/ (sin x) (cos x)) (/ (sin x) (cos x))) (/ (sin x) (cos x))) (* (/ (* (sin eps) (sin eps)) (* (cos eps) (cos eps))) (/ (sin eps) (cos eps)))))))))) (sin x)))

prune2.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.1b

regimes323.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.2b and baseline of 0.4b

bsearch19.0ms

end0.0ms

sample10.0s

Algorithm
intervals
Results
5.2s3348×body1280valid
1.9s644×body2560valid
1.6s1798×body640valid
721.0ms738×body320valid
221.0ms1098×body80valid
126.0ms374×body160valid