Details

sample454.0ms

Algorithm

intervals

Results

228.0ms	119×	body	1280	valid
124.0ms	72×	body	640	valid
30.0ms	256×	pre	80	true
25.0ms	24×	body	320	valid
8.0ms	30×	body	80	valid
6.0ms	11×	body	160	valid

simplify203.0ms

Counts: 1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize23.0ms

Local error

Found 3 expressions with local error:

3.5b	(tan (+ y z))
0.2b	(- (tan (+ y z)) (tan a))
0.1b	(+ x (- (tan (+ y z)) (tan a)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
19×	`add-sqr-sqrt`
18×	`prod-diff`
17×	`add-cube-cbrt`
11×	`associate-+r+`
10×	`add-log-exp`
4×	`tan-quot`
3×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `fma-neg` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`tan-sum` `sum-log` `sub-neg` `diff-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3-+` `flip3--` `flip-+` `flip--` `difference-of-squares`

Counts

3 → 75

Calls

3 calls:

Slowest

27.0ms	(- (tan (+ y z)) (tan a))
12.0ms	(+ x (- (tan (+ y z)) (tan a)))
11.0ms	(tan (+ y z))

series444.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

188.0ms	(+ x (- (tan (+ y z)) (tan a)))
171.0ms	(- (tan (+ y z)) (tan a))
84.0ms	(tan (+ y z))

simplify680.0ms

Counts: 84 → 84

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize58.0ms

Local error

Found 4 expressions with local error:

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

rewrite356.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 231

Calls

4 calls:

Slowest

141.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
130.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
39.0ms	(* (tan y) (tan z))
38.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))

series1.6s

Counts

4 → 12

Calls

4 calls:

Slowest

551.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
529.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
331.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
148.0ms	(* (tan y) (tan z))

simplify1.0s

Counts: 243 → 243

prune4.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

1.5b	(log (exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))))
0.6b	(exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)))
0.2b	(* (tan z) (tan y))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))

rewrite480.0ms

Algorithm

rewrite-expression-head

Rules

209×	`*-un-lft-identity`
162×	`prod-diff`
160×	`add-sqr-sqrt`
143×	`add-cube-cbrt`
123×	`times-frac`
112×	`exp-sum`
59×	`log-prod`
30×	`distribute-lft-out`
20×	`associate-/r/`
18×	`fma-neg`
12×	`exp-prod`
11×	`flip3--` `flip--`
10×	`div-inv`
9×	`add-log-exp`
7×	`pow1` `log-pow`
6×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
5×	`tan-quot`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`sub-neg` `associate-r` `associate-l` `distribute-lft-out--`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`frac-times` `log-div` `rem-log-exp` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 268

Calls

4 calls:

Slowest

214.0ms	(log (exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))))
172.0ms	(exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)))
70.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))
16.0ms	(* (tan z) (tan y))

series2.4s

Counts

4 → 12

Calls

4 calls:

Slowest

1.0s	(log (exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))))
622.0ms	(exp (- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a)))
564.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan z) (tan y)))) (tan a))
149.0ms	(* (tan z) (tan y))

simplify1.9s

Counts: 280 → 280

prune4.7s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (- 1 (* (tan y) (tan z))) (* (cos y) (cos z))))
0.2b	(* (tan y) (tan z))
0.2b	(- (/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (- 1 (* (tan y) (tan z))) (* (cos y) (cos z)))) (tan a))
0.1b	(* (sin y) (cos z))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `prod-diff`
32×	`*-un-lft-identity`
30×	`add-cube-cbrt`
25×	`associate-/r/`
17×	`add-cbrt-cube` `add-exp-log`
15×	`times-frac` `cos-mult`
12×	`fma-neg`
11×	`frac-times` `flip3--` `associate-*l/` `flip--`
8×	`pow1`
6×	`associate-r` `associate-l` `associate-*r/` `add-log-exp`
5×	`prod-exp` `tan-quot` `cbrt-unprod` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow-prod-down` `*-commutative` `unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `frac-sub` `flip-+` `sin-cos-mult` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 145

Calls

4 calls:

Slowest

269.0ms	(- (/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (- 1 (* (tan y) (tan z))) (* (cos y) (cos z)))) (tan a))
73.0ms	(/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (- 1 (* (tan y) (tan z))) (* (cos y) (cos z))))
23.0ms	(* (tan y) (tan z))
13.0ms	(* (sin y) (cos z))

series916.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

434.0ms	(- (/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (- 1 (* (tan y) (tan z))) (* (cos y) (cos z)))) (tan a))
322.0ms	(/ (+ (* (sin y) (cos z)) (* (cos y) (sin z))) (* (- 1 (* (tan y) (tan z))) (* (cos y) (cos z))))
107.0ms	(* (tan y) (tan z))
52.0ms	(* (sin y) (cos z))

simplify919.0ms

Counts: 157 → 157

prune2.5s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes363.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch5.0ms

end0.0ms

sample12.1s

Algorithm

intervals

Results

7.6s	3898×	body	1280	valid
2.3s	2009×	body	640	valid
756.0ms	8000×	pre	80	true
634.0ms	710×	body	320	valid
288.0ms	1091×	body	80	valid
147.0ms	292×	body	160	valid