Details

sample222.0ms

Algorithm

intervals

Results

70.0ms	43×	body	1280	valid
29.0ms	42×	body	640	valid
20.0ms	143×	body	80	valid
8.0ms	18×	body	320	valid
3.0ms	10×	body	160	valid

simplify252.0ms

Counts: 1 → 1

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize37.0ms

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)))

rewrite189.0ms

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

85.0ms	(* (tan x) (tan x))
57.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
35.0ms	(* (tan x) (tan x))
8.0ms	(- 1 (* (tan x) (tan x)))

series342.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

123.0ms	(* (tan x) (tan x))
120.0ms	(/ (- 1 (* (tan x) (tan x))) (+ 1 (* (tan x) (tan x))))
54.0ms	(- 1 (* (tan x) (tan x)))
44.0ms	(* (tan x) (tan x))

simplify1.4s

Counts: 140 → 140

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
62×	`*-un-lft-identity`
37×	`times-frac`
34×	`add-cube-cbrt`
22×	`associate-r`
16×	`difference-of-squares`
11×	`add-cbrt-cube` `add-exp-log`
9×	`prod-diff`
8×	`distribute-lft-out--` `add-log-exp`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `associate-l` `insert-posit16` `log1p-expm1-u`
3×	`associate-/r*` `fma-def` `flip3-+` `fma-neg` `flip-+`
2×	`frac-times` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `div-inv` `flip--` `distribute-lft-out` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `pow-prod-down` `associate-r/` `-commutative`

Counts

4 → 142

Calls

4 calls:

Slowest

33.0ms	(* (+ (tan x) 1) (/ (- 1 (tan x)) (fma (tan x) (tan x) 1)))
25.0ms	(/ (- 1 (tan x)) (fma (tan x) (tan x) 1))
7.0ms	(- 1 (tan x))
6.0ms	(+ (tan x) 1)

series311.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

194.0ms	(* (+ (tan x) 1) (/ (- 1 (tan x)) (fma (tan x) (tan x) 1)))
71.0ms	(/ (- 1 (tan x)) (fma (tan x) (tan x) 1))
23.0ms	(+ (tan x) 1)
22.0ms	(- 1 (tan x))

simplify764.0ms

Counts: 154 → 154

prune1.6s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (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))

rewrite157.0ms

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

82.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
30.0ms	(* (tan x) (tan x))
28.0ms	(* (tan x) (tan x))
15.0ms	(* (tan x) (tan x))

series228.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

76.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
57.0ms	(* (tan x) (tan x))
52.0ms	(* (tan x) (tan x))
43.0ms	(* (tan x) (tan x))

simplify2.9s

Counts: 186 → 186

prune2.2s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* (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))

rewrite154.0ms

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

94.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
23.0ms	(* (tan x) (tan x))
18.0ms	(* (tan x) (tan x))
14.0ms	(* (tan x) (tan x))

series211.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

83.0ms	(* (* (tan x) (tan x)) (* (tan x) (tan x)))
45.0ms	(* (tan x) (tan x))
42.0ms	(* (tan x) (tan x))
40.0ms	(* (tan x) (tan x))

simplify2.6s

Counts: 186 → 186

prune1.7s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes298.0ms

Accuracy

0% (0.3b remaining)

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

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.3s	1548×	body	1280	valid
1.8s	4259×	body	80	valid
1.2s	1227×	body	640	valid
440.0ms	651×	body	320	valid
242.0ms	315×	body	160	valid