Details

sample609.0ms

Algorithm

intervals

Results

83.0ms	39×	body	640	valid
78.0ms	50×	body	1280	valid
32.0ms	131×	body	80	valid
23.0ms	27×	body	320	valid
7.0ms	9×	body	160	valid

simplify181.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize65.0ms

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

rewrite132.0ms

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

59.0ms	(* (tan x) (tan x))
31.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
29.0ms	(* (tan x) (tan x))
8.0ms	(- 1 (* (tan x) (tan x)))

series348.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

122.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
96.0ms	(* (tan x) (tan x))
65.0ms	(- 1 (* (tan x) (tan x)))
65.0ms	(* (tan x) (tan x))

simplify1.4s

Counts: 140 → 140

prune1.1s

Pruning

10 alts after pruning (10 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)))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))
0.3b	(* (tan x) (tan x))

rewrite592.0ms

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×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 174

Calls

4 calls:

Slowest

528.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
28.0ms	(* (tan x) (tan x))
17.0ms	(* (tan x) (tan x))
17.0ms	(* (tan x) (tan x))

series165.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

59.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
39.0ms	(* (tan x) (tan x))
34.0ms	(* (tan x) (tan x))
33.0ms	(* (tan x) (tan x))

simplify2.7s

Counts: 186 → 186

prune1.8s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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

rewrite252.0ms

Algorithm

rewrite-expression-head

Rules

240×	`pow1`
74×	`pow-prod-up`
72×	`tan-quot`
48×	`pow-prod-down`
46×	`pow-sqr`
38×	`pow-plus`
36×	`frac-times`
32×	`add-cbrt-cube` `add-exp-log`
28×	`pow2`
24×	`associate-l/` `associate-r/`
18×	`prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`

Counts

4 → 224

Calls

4 calls:

Slowest

114.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
86.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
28.0ms	(* (tan x) (tan x))
21.0ms	(* (tan x) (tan x))

series219.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
59.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
44.0ms	(* (tan x) (tan x))
37.0ms	(* (tan x) (tan x))

simplify2.6s

Counts: 236 → 236

prune2.6s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

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)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt`
22×	`log-pow`
21×	`exp-prod`
19×	`pow1`
15×	`times-frac`
8×	`add-cbrt-cube` `tan-quot` `add-exp-log` `difference-of-squares`
6×	`swap-sqr` `associate-r` `associate-l` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `fma-neg` `prod-diff`
2×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `cbrt-unprod` `unswap-sqr`
1×	`log-div` `sub-neg` `flip3-+` `flip3--` `exp-diff` `diff-log` `div-sub` `rem-log-exp` `flip-+` `div-inv` `flip--`

Counts

4 → 122

Calls

4 calls:

Slowest

22.0ms	(* (tan x) (tan x))
17.0ms	(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
14.0ms	(* (tan x) (tan x))
11.0ms	(- 1 (* (tan x) (tan x)))

series293.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(log (exp (/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))))
57.0ms	(* (tan x) (tan x))
51.0ms	(- 1 (* (tan x) (tan x)))
46.0ms	(* (tan x) (tan x))

simplify2.4s

Counts: 134 → 134

prune1.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch4.0ms

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.6s	1549×	body	1280	valid
1.9s	1298×	body	640	valid
759.0ms	4215×	body	80	valid
400.0ms	610×	body	320	valid
134.0ms	328×	body	160	valid