Details

sample279.0ms

Algorithm

intervals

Results

61.0ms	37×	body	1280	valid
36.0ms	31×	body	640	valid
34.0ms	146×	body	80	valid
29.0ms	30×	body	320	valid
7.0ms	12×	body	160	valid

simplify125.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite110.0ms

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

47.0ms	(* (tan x) (tan x))
29.0ms	(* (tan x) (tan x))
21.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
9.0ms	(- 1 (* (tan x) (tan x)))

series310.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
67.0ms	(* (tan x) (tan x))
49.0ms	(* (tan x) (tan x))
48.0ms	(- 1 (* (tan x) (tan x)))

simplify999.0ms

Counts: 126 → 126

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
12×	`add-cube-cbrt`
6×	`associate-r` `associate-l` `tan-quot` `add-log-exp`
4×	`insert-posit16`
3×	`associate-/r` `times-frac` `swap-sqr` `associate-l/` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `difference-of-squares` `unswap-sqr`
1×	`pow2` `frac-times` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `diff-log` `associate-r/` `pow-sqr` `pow-prod-up` `div-inv` `flip--` `associate-/l` `distribute-lft-out--` `associate-/l/`

Counts

4 → 88

Calls

4 calls:

Slowest

28.0ms	(/ (* (tan x) (sin x)) (cos x))
28.0ms	(* (tan x) (tan x))
13.0ms	(* (tan x) (sin x))
9.0ms	(- 1 (/ (* (tan x) (sin x)) (cos x)))

series254.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

89.0ms	(/ (* (tan x) (sin x)) (cos x))
64.0ms	(- 1 (/ (* (tan x) (sin x)) (cos x)))
59.0ms	(* (tan x) (sin x))
42.0ms	(* (tan x) (tan x))

simplify1.6s

Counts: 100 → 100

prune1.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cos x) (cos x))
0.2b	(* (sin x) (sin x))
0.2b	(/ (* (tan x) (sin x)) (cos x))
0.2b	(/ (* (sin x) (sin x)) (* (cos x) (cos x)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
18×	`add-sqr-sqrt` `pow1`
14×	`*-un-lft-identity` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `swap-sqr` `div-exp` `associate-r` `associate-l`
4×	`associate-/r*` `times-frac` `insert-posit16` `add-log-exp`
2×	`pow2` `clear-num` `frac-2neg` `pow-plus` `pow-prod-down` `pow-sqr` `cos-mult` `-commutative` `pow-prod-up` `sqr-sin` `div-inv` `sin-mult` `associate-/l` `unswap-sqr` `associate-/l/`
1×	`sqr-cos` `div-sub` `associate-*l/` `tan-quot` `associate-/r/`

Counts

4 → 104

Calls

4 calls:

Slowest

30.0ms	(/ (* (tan x) (sin x)) (cos x))
29.0ms	(* (sin x) (sin x))
19.0ms	(* (cos x) (cos x))
19.0ms	(/ (* (sin x) (sin x)) (* (cos x) (cos x)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

98.0ms	(/ (* (tan x) (sin x)) (cos x))
62.0ms	(/ (* (sin x) (sin x)) (* (cos x) (cos x)))
35.0ms	(* (sin x) (sin x))
23.0ms	(* (cos x) (cos x))

simplify552.0ms

Counts: 116 → 116

prune1.3s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

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

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
25×	`pow1`
24×	`*-un-lft-identity`
16×	`add-cube-cbrt`
12×	`tan-quot`
10×	`add-cbrt-cube` `add-exp-log`
9×	`swap-sqr` `associate-r` `associate-l`
8×	`times-frac`
6×	`add-log-exp` `difference-of-squares`
5×	`distribute-rgt-out--` `div-inv`
4×	`associate-/r/` `insert-posit16`
3×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
2×	`flip3-+` `flip-+` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `sub-div`

Counts

4 → 115

Calls

4 calls:

Slowest

65.0ms	(- (/ 1 (+ 1 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))
27.0ms	(* (tan x) (tan x))
20.0ms	(* (tan x) (tan x))
16.0ms	(* (tan x) (tan x))

series291.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

157.0ms	(- (/ 1 (+ 1 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))
57.0ms	(* (tan x) (tan x))
42.0ms	(* (tan x) (tan x))
35.0ms	(* (tan x) (tan x))

simplify1.5s

Counts: 127 → 127

prune1.2s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes268.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.3s	1574×	body	1280	valid
1.5s	1198×	body	640	valid
963.0ms	4268×	body	80	valid
511.0ms	320×	body	160	valid
466.0ms	640×	body	320	valid