Details

sample590.0ms

Algorithm

intervals

Results

272.0ms	60×	body	2560	valid
134.0ms	86×	body	1280	valid
53.0ms	60×	body	640	valid
16.0ms	26×	body	320	valid
4.0ms	17×	body	80	valid
4.0ms	7×	body	160	valid

simplify54.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.3b

localize32.0ms

Local error

Found 3 expressions with local error:

0.8b	(- x (sin x))
0.8b	(- x (tan x))
0.0b	(/ (- x (sin x)) (- x (tan x)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
25×	`times-frac`
18×	`prod-diff`
14×	`distribute-lft-out--` `difference-of-squares`
7×	`add-log-exp`
6×	`fma-neg`
5×	`associate-/r` `add-cbrt-cube` `add-exp-log` `associate-/l`
4×	`flip3--` `flip--`
3×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv`

Counts

3 → 113

Calls

3 calls:

Slowest

34.0ms	(/ (- x (sin x)) (- x (tan x)))
14.0ms	(- x (sin x))
9.0ms	(- x (tan x))

series286.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

123.0ms	(/ (- x (sin x)) (- x (tan x)))
84.0ms	(- x (tan x))
78.0ms	(- x (sin x))

simplify2.1s

Counts: 122 → 122

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.8b	(- x (sin x))
0.8b	(- x (tan x))
0.0b	(/ (- x (sin x)) (- x (tan x)))
0.0b	(expm1 (log1p (/ (- x (sin x)) (- x (tan x)))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
25×	`times-frac`
18×	`prod-diff`
14×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-cbrt-cube` `fma-neg` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv` `expm1-udef`

Counts

4 → 125

Calls

4 calls:

Slowest

24.0ms	(/ (- x (sin x)) (- x (tan x)))
12.0ms	(- x (sin x))
10.0ms	(- x (tan x))
0.0ms	(expm1 (log1p (/ (- x (sin x)) (- x (tan x)))))

series468.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

209.0ms	(expm1 (log1p (/ (- x (sin x)) (- x (tan x)))))
135.0ms	(/ (- x (sin x)) (- x (tan x)))
80.0ms	(- x (tan x))
44.0ms	(- x (sin x))

simplify1.7s

Counts: 137 → 137

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.8b	(- x (sin x))
0.8b	(- x (tan x))
0.1b	(* (- x (sin x)) (/ 1 (- x (tan x))))
0.0b	(expm1 (log1p (* (- x (sin x)) (/ 1 (- x (tan x))))))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
28×	`add-cube-cbrt`
21×	`associate-r`
18×	`prod-diff`
17×	`times-frac`
13×	`add-exp-log`
9×	`add-cbrt-cube`
8×	`add-log-exp`
6×	`pow1` `fma-neg` `distribute-lft-out--` `difference-of-squares`
5×	`flip3--` `associate-l` `flip--`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`unswap-sqr`
2×	`frac-times` `sub-neg` `diff-log` `div-exp` `associate-*l/` `associate-/r/` `cbrt-unprod`
1×	`cbrt-undiv` `rec-exp` `expm1-log1p` `1-exp` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `div-inv` `expm1-udef`

Counts

4 → 123

Calls

4 calls:

Slowest

68.0ms	(* (- x (sin x)) (/ 1 (- x (tan x))))
11.0ms	(- x (sin x))
9.0ms	(- x (tan x))
0.0ms	(expm1 (log1p (* (- x (sin x)) (/ 1 (- x (tan x))))))

series454.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(expm1 (log1p (* (- x (sin x)) (/ 1 (- x (tan x))))))
138.0ms	(* (- x (sin x)) (/ 1 (- x (tan x))))
103.0ms	(- x (tan x))
60.0ms	(- x (sin x))

simplify1.8s

Counts: 135 → 135

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.8b	(- x (sin x))
0.8b	(- x (tan x))
0.0b	(/ (- x (sin x)) (- x (tan x)))
0.0b	(expm1 (log1p (/ (- x (sin x)) (- x (tan x)))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
25×	`times-frac`
18×	`prod-diff`
14×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-cbrt-cube` `fma-neg` `add-exp-log`
5×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `expm1-log1p` `clear-num` `frac-2neg` `div-sub` `div-exp` `div-inv` `expm1-udef`

Counts

4 → 125

Calls

4 calls:

Slowest

25.0ms	(/ (- x (sin x)) (- x (tan x)))
10.0ms	(- x (sin x))
5.0ms	(- x (tan x))
0.0ms	(expm1 (log1p (/ (- x (sin x)) (- x (tan x)))))

series469.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

248.0ms	(expm1 (log1p (/ (- x (sin x)) (- x (tan x)))))
111.0ms	(/ (- x (sin x)) (- x (tan x)))
67.0ms	(- x (tan x))
43.0ms	(- x (sin x))

simplify1.6s

Counts: 137 → 137

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

100% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 31.5b

bsearch171.0ms

end0.0ms

sample16.8s

Algorithm

intervals

Results

7.7s	1618×	body	2560	valid
5.3s	2674×	body	1280	valid
2.0s	1914×	body	640	valid
1.3s	989×	body	320	valid
245.0ms	457×	body	160	valid
84.0ms	348×	body	80	valid