Details

Time bar (total: 9.7s)

sample264.0ms

Algorithm
intervals
Results
58.0ms54×body1280valid
26.0ms35×body640valid
23.0ms143×body80valid
7.0ms15×body320valid
3.0ms9×body160valid

simplify12.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(- 1.0 (* (tan x) (tan x)))
0.1b
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
0.2b
(* (tan x) (tan x))
0.2b
(* (tan x) (tan x))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
18×pow1
12×times-frac
10×add-exp-log add-cbrt-cube
8×tan-quot
6×swap-sqr associate-*r* associate-*l* add-log-exp
5×difference-of-squares
4×associate-/l*
3×associate-/r*
2×pow2 frac-times flip3-- pow-plus associate-*r/ pow-prod-down associate-*l/ prod-exp associate-/r/ pow-sqr *-commutative pow-prod-up flip-- cbrt-unprod associate-/l/ unswap-sqr
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
4 → 105
Calls
4 calls:
5.0ms
(- 1.0 (* (tan x) (tan x)))
38.0ms
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
31.0ms
(* (tan x) (tan x))
38.0ms
(* (tan x) (tan x))

series344.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- 1.0 (* (tan x) (tan x)))
195.0ms
(/ (- 1.0 (* (tan x) (tan x))) (+ 1.0 (* (tan x) (tan x))))
55.0ms
(* (tan x) (tan x))
48.0ms
(* (tan x) (tan x))

simplify149.0ms

Counts
117 → 117

prune351.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (tan x) (tan x))
0.2b
(* (tan x) (tan x))
0.2b
(* (tan x) (tan x))
0.3b
(- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
25×pow1
18×*-un-lft-identity
16×add-cube-cbrt
12×tan-quot
10×add-exp-log add-cbrt-cube
9×swap-sqr associate-*r* associate-*l*
6×add-log-exp
4×times-frac associate-/r/ difference-of-squares
3×pow2 frac-times distribute-rgt-out-- pow-plus associate-*r/ pow-prod-down associate-*l/ prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
2×flip3-+ flip-+ div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- distribute-lft-out-- sub-div
Counts
4 → 106
Calls
4 calls:
16.0ms
(* (tan x) (tan x))
16.0ms
(* (tan x) (tan x))
24.0ms
(* (tan x) (tan x))
79.0ms
(- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))

series434.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(* (tan x) (tan x))
53.0ms
(* (tan x) (tan x))
64.0ms
(* (tan x) (tan x))
251.0ms
(- (/ 1.0 (+ 1.0 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1.0 (* (tan x) (tan x)))))

simplify107.0ms

Counts
118 → 118

prune413.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))
0.2b
(- (sqrt 1.0) (tan x))
0.2b
(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
0.2b
(* (tan x) (tan x))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
18×*-un-lft-identity
13×pow1 add-exp-log add-cbrt-cube
12×add-cube-cbrt
9×frac-times associate-*r*
8×associate-/l/
7×flip3-- flip3-+ associate-*l* flip-- flip-+
6×add-log-exp
5×associate-*r/ associate-*l/
4×tan-quot difference-of-squares
3×sub-neg times-frac swap-sqr prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down sqrt-prod associate-/r/ *-commutative distribute-lft-out-- unswap-sqr
1×pow2 frac-2neg pow-plus diff-log clear-num pow-sqr pow-prod-up div-inv distribute-lft-out associate-/l*
Counts
4 → 108
Calls
4 calls:
69.0ms
(/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))
10.0ms
(- (sqrt 1.0) (tan x))
85.0ms
(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
16.0ms
(* (tan x) (tan x))

series573.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(/ (* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x))) (+ 1.0 (* (tan x) (tan x))))
63.0ms
(- (sqrt 1.0) (tan x))
163.0ms
(* (+ (sqrt 1.0) (tan x)) (- (sqrt 1.0) (tan x)))
63.0ms
(* (tan x) (tan x))

simplify99.0ms

Counts
120 → 120

prune511.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* (tan x) (sin x)) (cos x))
0.1b
(/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
0.2b
(* (tan x) (sin x))
0.2b
(* (tan x) (tan x))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
30×*-un-lft-identity
22×add-cube-cbrt
18×times-frac
15×add-exp-log add-cbrt-cube
13×pow1
6×tan-quot associate-*r* associate-*l* associate-/r* associate-/l*
4×distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-undiv swap-sqr div-exp associate-*l/ prod-exp cbrt-unprod associate-/l/
2×frac-2neg pow-prod-down clear-num associate-/r/ *-commutative div-inv unswap-sqr
1×pow2 frac-times flip3-- flip3-+ pow-plus div-sub associate-*r/ pow-sqr pow-prod-up flip-- flip-+
Counts
4 → 109
Calls
4 calls:
18.0ms
(/ (* (tan x) (sin x)) (cos x))
38.0ms
(/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
22.0ms
(* (tan x) (sin x))
20.0ms
(* (tan x) (tan x))

series390.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(/ (* (tan x) (sin x)) (cos x))
170.0ms
(/ (- 1.0 (/ (* (tan x) (sin x)) (cos x))) (+ 1.0 (* (tan x) (tan x))))
87.0ms
(* (tan x) (sin x))
51.0ms
(* (tan x) (tan x))

simplify67.0ms

Counts
121 → 121

prune470.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes259.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify22.0ms

end0.0ms

sample4.6s

Algorithm
intervals
Results
1.9s1468×body1280valid
1.1s4342×body80valid
859.0ms1253×body640valid
410.0ms616×body320valid
136.0ms321×body160valid