Details

sample457.0ms

Algorithm

intervals

Results

276.0ms	125×	body	1280	valid
92.0ms	75×	body	640	valid
27.0ms	256×	pre	80	true
16.0ms	17×	body	320	valid
7.0ms	28×	body	80	valid
6.0ms	11×	body	160	valid

simplify168.0ms

Counts: 1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.3b

localize22.0ms

Local error

Found 3 expressions with local error:

3.7b	(tan (+ y z))
0.1b	(- (tan (+ y z)) (tan a))
0.1b	(+ x (- (tan (+ y z)) (tan a)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16`
2×	`tan-sum` `associate-+r+` `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 → 45

Calls

3 calls:

Slowest

15.0ms	(+ x (- (tan (+ y z)) (tan a)))
12.0ms	(- (tan (+ y z)) (tan a))
5.0ms	(tan (+ y z))

series381.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

164.0ms	(+ x (- (tan (+ y z)) (tan a)))
145.0ms	(- (tan (+ y z)) (tan a))
72.0ms	(tan (+ y z))

simplify1.7s

Counts: 54 → 54

prune534.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (tan y) (tan z))
0.1b	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
0.1b	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
0.1b	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
15×	`add-cube-cbrt`
13×	`times-frac`
11×	`add-log-exp`
8×	`add-cbrt-cube` `add-exp-log`
7×	`tan-quot`
6×	`pow1` `distribute-lft-out`
4×	`insert-posit16` `associate-/l*`
3×	`associate-/r` `associate-r` `associate-l*` `associate-/l/`
2×	`associate-+r+` `sum-log` `sub-neg` `flip3-+` `flip3--` `diff-log` `associate-/r/` `flip-+` `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` `div-inv` `unswap-sqr`

Counts

4 → 94

Calls

4 calls:

Slowest

128.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
68.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
33.0ms	(* (tan y) (tan z))
31.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

512.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
433.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
306.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
114.0ms	(* (tan y) (tan z))

simplify1.6s

Counts: 106 → 106

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (tan y) (tan z))
0.3b	(* (tan y) (tan z))
0.3b	(* (tan y) (tan z))
0.2b	(* (* (tan y) (tan z)) (* (tan y) (tan z)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

49×	`pow1`
44×	`tan-quot`
22×	`add-cbrt-cube` `add-exp-log`
20×	`frac-times` `pow-prod-down`
16×	`add-sqr-sqrt`
14×	`associate-l/` `associate-r/`
11×	`prod-exp` `cbrt-unprod`
10×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
4×	`pow-sqr` `*-commutative` `pow-prod-up` `insert-posit16` `add-log-exp`
3×	`unswap-sqr`
2×	`pow-plus`
1×	`pow2` `swap-sqr`

Counts

4 → 116

Calls

4 calls:

Slowest

82.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
24.0ms	(* (tan y) (tan z))
20.0ms	(* (tan y) (tan z))
14.0ms	(* (tan y) (tan z))

series500.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

163.0ms	(* (* (tan y) (tan z)) (* (tan y) (tan z)))
119.0ms	(* (tan y) (tan z))
113.0ms	(* (tan y) (tan z))
105.0ms	(* (tan y) (tan z))

simplify1.3s

Counts: 128 → 128

prune2.0s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (tan y) (tan z))
0.3b	(* (tan y) (tan z))
0.3b	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
0.2b	(* (+ (tan y) (tan z)) (cos a))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

19×	`associate-*l/`
18×	`add-sqr-sqrt`
15×	`add-cbrt-cube` `add-exp-log`
14×	`*-un-lft-identity` `tan-quot`
12×	`add-cube-cbrt`
10×	`pow1` `associate-l`
9×	`associate-r`
8×	`associate-/l/`
6×	`frac-sub`
5×	`flip3--` `flip--`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
3×	`flip3-+` `times-frac` `pow-prod-down` `frac-add` `-commutative` `flip-+` `associate-/l` `unswap-sqr`
2×	`frac-times` `cbrt-undiv` `div-exp` `associate-*r/` `associate-/r/`
1×	`clear-num` `associate-/r*` `frac-2neg` `div-sub` `div-inv` `distribute-lft-out`

Counts

4 → 100

Calls

4 calls:

Slowest

83.0ms	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
48.0ms	(* (+ (tan y) (tan z)) (cos a))
18.0ms	(* (tan y) (tan z))
14.0ms	(* (tan y) (tan z))

series1.3s

Counts

4 → 12

Calls

4 calls:

Slowest

716.0ms	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
251.0ms	(* (+ (tan y) (tan z)) (cos a))
149.0ms	(* (tan y) (tan z))
149.0ms	(* (tan y) (tan z))

simplify997.0ms

Counts: 112 → 112

prune2.1s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes353.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample11.1s

Algorithm

intervals

Results

6.5s	3916×	body	1280	valid
2.4s	1912×	body	640	valid
632.0ms	8000×	pre	80	true
493.0ms	703×	body	320	valid
431.0ms	297×	body	160	valid
320.0ms	1172×	body	80	valid