Details

Time bar (total: 22.2s)

sample446.0ms

Algorithm
intervals
Results
119.0ms46×body640valid
115.0ms45×body1280valid
35.0ms137×body80valid
14.0ms16×body320valid
6.0ms12×body160valid

simplify134.0ms

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (tan x) (tan x))
0.3b
(* (tan x) (tan x))
0.2b
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
0.1b
(- 1 (* (tan x) (tan x)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
27×*-un-lft-identity
22×add-cube-cbrt
18×pow1
15×times-frac
10×add-cbrt-cube add-exp-log difference-of-squares
8×tan-quot
6×swap-sqr associate-*r* associate-*l* add-log-exp
5×associate-/l*
4×insert-posit16
3×associate-/r*
2×pow2 frac-times pow-plus flip3-- pow-prod-down associate-*l/ prod-exp associate-*r/ associate-/r/ pow-sqr *-commutative pow-prod-up cbrt-unprod flip-- unswap-sqr associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-+ diff-log div-sub div-exp flip-+ div-inv
Counts
4 → 114
Calls
4 calls:
Slowest
30.0ms
(* (tan x) (tan x))
29.0ms
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
27.0ms
(* (tan x) (tan x))
4.0ms
(- 1 (* (tan x) (tan x)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
111.0ms
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
57.0ms
(* (tan x) (tan x))
56.0ms
(* (tan x) (tan x))
39.0ms
(- 1 (* (tan x) (tan x)))

simplify1.1s

Counts
126 → 126

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b
(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
0.3b
(* (tan x) (tan x))
0.3b
(* (tan x) (tan x))
0.2b
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×add-cube-cbrt
30×times-frac
22×log-pow
21×exp-prod
19×pow1
14×difference-of-squares
10×add-cbrt-cube add-exp-log
8×tan-quot
6×swap-sqr associate-*r* associate-*l*
5×associate-/l*
4×associate-/r/ insert-posit16 add-log-exp
3×log-prod associate-/r*
2×pow2 frac-times flip3-+ pow-plus div-sub pow-prod-down associate-*l/ prod-exp associate-*r/ pow-sqr *-commutative pow-prod-up cbrt-unprod flip-+ div-inv unswap-sqr associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-- exp-diff div-exp rem-log-exp flip--
Counts
4 → 134
Calls
4 calls:
Slowest
32.0ms
(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
27.0ms
(* (tan x) (tan x))
19.0ms
(* (tan x) (tan x))
14.0ms
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))

series258.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
90.0ms
(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
84.0ms
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
45.0ms
(* (tan x) (tan x))
39.0ms
(* (tan x) (tan x))

simplify1.6s

Counts
146 → 146

prune1.7s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (tan x) (tan x))
0.2b
(/ (* (tan x) (sin x)) (cos x))
0.2b
(* (tan x) (sin x))
0.2b
(/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x))))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
35×*-un-lft-identity
23×add-cube-cbrt
21×times-frac
15×add-cbrt-cube add-exp-log
13×pow1
8×difference-of-squares
7×associate-/l*
6×associate-/r* associate-*r* associate-*l* tan-quot
4×insert-posit16 distribute-lft-out-- add-log-exp
3×cbrt-undiv swap-sqr div-exp associate-*l/ prod-exp cbrt-unprod associate-/l/
2×clear-num frac-2neg pow-prod-down associate-/r/ *-commutative div-inv unswap-sqr
1×pow2 frac-times flip3-+ pow-plus flip3-- div-sub associate-*r/ pow-sqr pow-prod-up flip-+ flip--
Counts
4 → 117
Calls
4 calls:
Slowest
46.0ms
(/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x))))
32.0ms
(* (tan x) (tan x))
29.0ms
(/ (* (tan x) (sin x)) (cos x))
24.0ms
(* (tan x) (sin x))

series314.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
112.0ms
(/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x))))
109.0ms
(/ (* (tan x) (sin x)) (cos x))
57.0ms
(* (tan x) (sin x))
36.0ms
(* (tan x) (tan x))

simplify2.3s

Counts
129 → 129

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (tan x) (tan x)) (* (tan x) (tan x)))
0.3b
(* (* (tan x) (tan x)) (* (tan x) (tan x)))
0.3b
(- (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1 (* (tan x) (tan x))))
0.3b
(* (tan x) (tan x))

rewrite333.0ms

Algorithm
rewrite-expression-head
Rules
264×tan-quot
233×pow1
147×associate-*r/
113×frac-times
88×associate-*l/
73×pow-prod-up
47×pow-prod-down
45×pow-sqr frac-sub
37×pow-plus
30×add-cbrt-cube add-exp-log
27×pow2
17×prod-exp cbrt-unprod
14×sub-div
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×add-log-exp
5×swap-sqr associate-*r* associate-*l*
4×insert-posit16
3×*-commutative unswap-sqr
1×sub-neg flip3-- distribute-rgt-out-- diff-log flip--
Counts
4 → 260
Calls
4 calls:
Slowest
127.0ms
(- (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1 (* (tan x) (tan x))))
106.0ms
(* (* (tan x) (tan x)) (* (tan x) (tan x)))
81.0ms
(* (* (tan x) (tan x)) (* (tan x) (tan x)))
13.0ms
(* (tan x) (tan x))

series254.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
100.0ms
(- (* (* (tan x) (tan x)) (* (tan x) (tan x))) (* 1 (* (tan x) (tan x))))
58.0ms
(* (* (tan x) (tan x)) (* (tan x) (tan x)))
56.0ms
(* (* (tan x) (tan x)) (* (tan x) (tan x)))
40.0ms
(* (tan x) (tan x))

simplify933.0ms

Counts
272 → 272

prune3.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes481.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample5.6s

Algorithm
intervals
Results
2.3s1489×body1280valid
1.3s1257×body640valid
847.0ms4321×body80valid
803.0ms642×body320valid
207.0ms291×body160valid