Details

sample717.0ms

Algorithm

intervals

Results

550.0ms	119×	body	1280	valid
82.0ms	72×	body	640	valid
25.0ms	256×	pre	80	true
20.0ms	24×	body	320	valid
7.0ms	30×	body	80	valid
5.0ms	11×	body	160	valid

simplify237.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize19.0ms

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)))

rewrite35.0ms

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

20.0ms	(- (tan (+ y z)) (tan a))
11.0ms	(+ x (- (tan (+ y z)) (tan a)))
5.0ms	(tan (+ y z))

series407.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

179.0ms	(+ x (- (tan (+ y z)) (tan a)))
165.0ms	(- (tan (+ y z)) (tan a))
62.0ms	(tan (+ y z))

simplify1.8s

Counts: 54 → 54

prune653.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize39.0ms

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)))

rewrite278.0ms

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

147.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
73.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
35.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
21.0ms	(* (tan y) (tan z))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

536.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
474.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
286.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
144.0ms	(* (tan y) (tan z))

simplify1.7s

Counts: 106 → 106

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite327.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`exp-prod`
9×	`add-cube-cbrt` `add-log-exp`
7×	`pow1` `log-pow`
6×	`add-cbrt-cube` `add-exp-log` `difference-of-squares`
5×	`log-prod` `tan-quot`
4×	`exp-sum` `insert-posit16`
3×	`sub-neg` `times-frac` `associate-r` `associate-l` `distribute-lft-out--`
2×	`exp-diff` `diff-log` `rem-exp-log`
1×	`frac-times` `log-div` `flip3--` `rem-log-exp` `pow-prod-down` `associate-l/` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `flip--` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

Slowest

125.0ms	(log (exp (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a))))
110.0ms	(exp (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a)))
77.0ms	(- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a))
14.0ms	(* (tan y) (tan z))

series1.8s

Counts

4 → 12

Calls

4 calls:

Slowest

573.0ms	(log (exp (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a))))
547.0ms	(exp (- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a)))
538.0ms	(- (/ (+ (tan z) (tan y)) (- 1 (* (tan y) (tan z)))) (tan a))
165.0ms	(* (tan y) (tan z))

simplify733.0ms

Counts: 92 → 92

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* (sin z) (sin y)) (* (cos y) (cos z)))
0.2b	(* (sin z) (sin y))
0.2b	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z))))) (tan a))
0.1b	(/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z)))))

rewrite346.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
40×	`add-sqr-sqrt`
26×	`times-frac`
20×	`add-cbrt-cube` `add-exp-log`
18×	`add-cube-cbrt`
12×	`difference-of-squares`
7×	`associate-/r*` `distribute-lft-out`
6×	`pow1` `distribute-lft-out--` `add-log-exp`
5×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
4×	`insert-posit16` `associate-/l/`
3×	`associate-r` `associate-l` `tan-quot` `associate-/r/`
2×	`clear-num` `frac-2neg` `flip3--` `div-inv` `flip--` `sin-mult`
1×	`sub-neg` `flip3-+` `diff-log` `pow-prod-down` `frac-add` `cos-mult` `*-commutative` `frac-sub` `flip-+` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

Slowest

249.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z))))) (tan a))
66.0ms	(/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z)))))
18.0ms	(/ (* (sin z) (sin y)) (* (cos y) (cos z)))
11.0ms	(* (sin z) (sin y))

series989.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

569.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z))))) (tan a))
256.0ms	(/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z)))))
113.0ms	(/ (* (sin z) (sin y)) (* (cos y) (cos z)))
50.0ms	(* (sin z) (sin y))

simplify802.0ms

Counts: 125 → 125

prune1.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes467.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample11.6s

Algorithm

intervals

Results

7.0s	3898×	body	1280	valid
2.7s	2009×	body	640	valid
654.0ms	8000×	pre	80	true
587.0ms	710×	body	320	valid
249.0ms	1091×	body	80	valid
122.0ms	292×	body	160	valid