Details

sample527.0ms

Algorithm

intervals

Results

204.0ms	44×	body	640	valid
81.0ms	51×	body	1280	valid
29.0ms	134×	body	80	valid
13.0ms	12×	body	320	valid
8.0ms	15×	body	160	valid

simplify243.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

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)))

rewrite105.0ms

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

41.0ms	(* (tan x) (tan x))
29.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
20.0ms	(* (tan x) (tan x))
9.0ms	(- 1 (* (tan x) (tan x)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
82.0ms	(* (tan x) (tan x))
60.0ms	(* (tan x) (tan x))
46.0ms	(- 1 (* (tan x) (tan x)))

simplify1.2s

Counts: 126 → 126

prune1.3s

Pruning

11 alts after pruning (11 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	(* (+ 1 (tan x)) (- 1 (tan x)))
0.2b	(+ 1 (tan x))
0.2b	(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

Slowest

37.0ms	(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
26.0ms	(* (tan x) (tan x))
25.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
9.0ms	(+ 1 (tan x))

series365.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

167.0ms	(/ (* (+ 1 (tan x)) (- 1 (tan x))) (+ 1 (* (tan x) (tan x))))
100.0ms	(* (+ 1 (tan x)) (- 1 (tan x)))
64.0ms	(* (tan x) (tan x))
34.0ms	(+ 1 (tan x))

simplify859.0ms

Counts: 121 → 121

prune1.3s

Pruning

10 alts after pruning (10 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	(/ (+ 1 (* (tan x) (tan x))) (- 1 (tan x)))
0.2b	(/ (+ 1 (tan x)) (/ (+ 1 (* (tan x) (tan x))) (- 1 (tan x))))
0.2b	(+ 1 (tan x))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

204×	`times-frac`
203×	`*-un-lft-identity`
153×	`add-sqr-sqrt`
94×	`add-cube-cbrt`
38×	`difference-of-squares`
30×	`associate-/r*`
26×	`distribute-lft-out`
19×	`distribute-lft-out--`
13×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
11×	`pow1`
7×	`div-inv` `associate-/l*`
6×	`flip3--` `flip--` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `tan-quot` `insert-posit16` `associate-/l/`
3×	`flip3-+` `swap-sqr` `associate-r` `associate-l` `flip-+`
2×	`clear-num` `frac-2neg`
1×	`pow2` `frac-times` `+-commutative` `sum-log` `pow-plus` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`

Counts

4 → 228

Calls

4 calls:

Slowest

48.0ms	(/ (+ 1 (* (tan x) (tan x))) (- 1 (tan x)))
27.0ms	(* (tan x) (tan x))
25.0ms	(/ (+ 1 (tan x)) (/ (+ 1 (* (tan x) (tan x))) (- 1 (tan x))))
4.0ms	(+ 1 (tan x))

series280.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

147.0ms	(/ (+ 1 (tan x)) (/ (+ 1 (* (tan x) (tan x))) (- 1 (tan x))))
64.0ms	(/ (+ 1 (* (tan x) (tan x))) (- 1 (tan x)))
36.0ms	(* (tan x) (tan x))
33.0ms	(+ 1 (tan x))

simplify1.2s

Counts: 240 → 240

prune2.5s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))

rewrite158.0ms

Algorithm

rewrite-expression-head

Rules

136×	`pow1`
44×	`tan-quot`
39×	`pow-prod-up`
26×	`pow-prod-down`
25×	`pow-sqr`
22×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
21×	`pow-plus`
20×	`frac-times`
16×	`pow2` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-l/` `associate-r/`
11×	`prod-exp` `cbrt-unprod`
10×	`swap-sqr` `associate-r` `associate-l`
4×	`*-commutative` `insert-posit16` `add-log-exp` `unswap-sqr`

Counts

4 → 166

Calls

4 calls:

Slowest

70.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
28.0ms	(* (tan x) (tan x))
28.0ms	(* (tan x) (tan x))
27.0ms	(* (tan x) (tan x))

series248.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
59.0ms	(* (tan x) (tan x))
57.0ms	(* (tan x) (tan x))
46.0ms	(* (tan x) (tan x))

simplify2.5s

Counts: 178 → 178

prune1.9s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.0s	1475×	body	1280	valid
1.3s	1249×	body	640	valid
1.0s	4384×	body	80	valid
440.0ms	578×	body	320	valid
135.0ms	314×	body	160	valid