Details

sample436.0ms

Algorithm

intervals

Results

186.0ms	50×	body	1280	valid
90.0ms	39×	body	640	valid
37.0ms	143×	body	80	valid
12.0ms	14×	body	320	valid
6.0ms	10×	body	160	valid

simplify77.0ms

Counts: 1 → 1

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite82.0ms

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))
24.0ms	(* (tan x) (tan x))
14.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
10.0ms	(- 1 (* (tan x) (tan x)))

series282.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
78.0ms	(* (tan x) (tan x))
43.0ms	(- 1 (* (tan x) (tan x)))
34.0ms	(* (tan x) (tan x))

simplify447.0ms

Counts: 153 → 126

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
0.2b	(* (tan x) (tan x))
0.2b	(* (tan x) (tan x))
0.2b	(* (tan x) (tan x))

rewrite163.0ms

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

76.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
28.0ms	(* (tan x) (tan x))
27.0ms	(* (tan x) (tan x))
26.0ms	(* (tan x) (tan x))

series264.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
64.0ms	(* (tan x) (tan x))
57.0ms	(* (tan x) (tan x))
57.0ms	(* (tan x) (tan x))

simplify744.0ms

Counts: 196 → 178

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

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

27.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
27.0ms	(* (tan x) (tan x))
26.0ms	(* (tan x) (tan x))
20.0ms	(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))

series350.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

142.0ms	(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
101.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
62.0ms	(* (tan x) (tan x))
46.0ms	(* (tan x) (tan x))

simplify481.0ms

Counts: 172 → 146

prune1.4s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(- (/ 1 (+ 1 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))
0.2b	(* (tan x) (tan x))
0.2b	(* (tan x) (tan x))
0.2b	(* (tan x) (tan x))

rewrite145.0ms

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

56.0ms	(- (/ 1 (+ 1 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))
32.0ms	(* (tan x) (tan x))
27.0ms	(* (tan x) (tan x))
26.0ms	(* (tan x) (tan x))

series325.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

168.0ms	(- (/ 1 (+ 1 (* (tan x) (tan x)))) (/ (* (tan x) (tan x)) (+ 1 (* (tan x) (tan x)))))
62.0ms	(* (tan x) (tan x))
58.0ms	(* (tan x) (tan x))
37.0ms	(* (tan x) (tan x))

simplify349.0ms

Counts: 145 → 127

prune1.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes211.0ms

Accuracy

0% (0.3b remaining)

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

bsearch4.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

2.3s	1517×	body	1280	valid
1.8s	1227×	body	640	valid
964.0ms	4317×	body	80	valid
384.0ms	605×	body	320	valid
139.0ms	334×	body	160	valid