Details

Time bar (total: 19.1s)

sample466.0ms

Algorithm
intervals
Results
156.0ms45×body1280valid
65.0ms12×body160valid
60.0ms46×body640valid
39.0ms137×body80valid
14.0ms16×body320valid

simplify209.0ms

Counts
1 → 1

prune36.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize28.0ms

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)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×*-un-lft-identity
24×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×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* fma-neg prod-diff
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 → 128
Calls
4 calls:
Slowest
22.0ms
(* (tan x) (tan x))
18.0ms
(* (tan x) (tan x))
15.0ms
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
10.0ms
(- 1 (* (tan x) (tan x)))

series207.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
85.0ms
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
46.0ms
(* (tan x) (tan x))
39.0ms
(* (tan x) (tan x))
37.0ms
(- 1 (* (tan x) (tan x)))

simplify1.2s

Counts
140 → 140

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

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))))

rewrite100.0ms

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×expm1-log1p-u associate-/r/ insert-posit16 log1p-expm1-u 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 → 142
Calls
4 calls:
Slowest
35.0ms
(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
25.0ms
(* (tan x) (tan x))
24.0ms
(* (tan x) (tan x))
15.0ms
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))

series302.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
114.0ms
(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
98.0ms
(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
45.0ms
(* (tan x) (tan x))
44.0ms
(* (tan x) (tan x))

simplify1.8s

Counts
154 → 154

prune1.6s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))))

rewrite73.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 125
Calls
4 calls:
Slowest
30.0ms
(/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x))))
14.0ms
(/ (* (tan x) (sin x)) (cos x))
14.0ms
(* (tan x) (tan x))
13.0ms
(* (tan x) (sin x))

series333.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
131.0ms
(/ (- 1 (/ (* (tan x) (sin x)) (cos x))) (+ 1 (* (tan x) (tan x))))
98.0ms
(/ (* (tan x) (sin x)) (cos x))
57.0ms
(* (tan x) (tan x))
46.0ms
(* (tan x) (sin x))

simplify615.0ms

Counts
137 → 137

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
29×add-sqr-sqrt
25×*-un-lft-identity add-cube-cbrt
22×add-cbrt-cube
19×associate-*r*
18×pow1 times-frac
14×prod-exp
8×cbrt-unprod
7×associate-*l* tan-quot
5×div-exp pow-prod-down associate-*l/
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-undiv associate-/r* swap-sqr *-commutative associate-/l*
2×frac-times rec-exp 1-exp associate-*r/ associate-/r/ div-inv unswap-sqr associate-/l/
1×pow2 clear-num frac-2neg flip3-+ pow-plus flip3-- div-sub pow-sqr un-div-inv pow-prod-up flip-+ flip--
Counts
4 → 131
Calls
4 calls:
Slowest
63.0ms
(* (* (tan x) (sin x)) (/ 1 (cos x)))
34.0ms
(* (tan x) (tan x))
23.0ms
(* (tan x) (sin x))
17.0ms
(/ (- 1 (* (* (tan x) (sin x)) (/ 1 (cos x)))) (+ 1 (* (tan x) (tan x))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
135.0ms
(/ (- 1 (* (* (tan x) (sin x)) (/ 1 (cos x)))) (+ 1 (* (tan x) (tan x))))
91.0ms
(* (* (tan x) (sin x)) (/ 1 (cos x)))
75.0ms
(* (tan x) (sin x))
51.0ms
(* (tan x) (tan x))

simplify737.0ms

Counts
143 → 143

prune1.6s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes368.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm
intervals
Results
2.4s1489×body1280valid
1.8s1257×body640valid
1.2s4321×body80valid
507.0ms642×body320valid
154.0ms291×body160valid