Details

sample499.0ms

Algorithm

intervals

Results

313.0ms	134×	body	1280	valid
86.0ms	66×	body	640	valid
34.0ms	256×	pre	80	true
19.0ms	20×	body	320	valid
9.0ms	31×	body	80	valid
3.0ms	5×	body	160	valid

simplify224.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize23.0ms

Local error

Found 3 expressions with local error:

3.2b	(tan (+ y z))
0.2b	(- (tan (+ y z)) (tan a))
0.1b	(+ x (- (tan (+ y z)) (tan a)))

rewrite45.0ms

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	(+ x (- (tan (+ y z)) (tan a)))
16.0ms	(- (tan (+ y z)) (tan a))
8.0ms	(tan (+ y z))

series427.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

178.0ms	(+ x (- (tan (+ y z)) (tan a)))
175.0ms	(- (tan (+ y z)) (tan a))
73.0ms	(tan (+ y z))

simplify1.6s

Counts: 54 → 54

prune733.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

localize64.0ms

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

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

Slowest

96.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
60.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
14.0ms	(* (tan y) (tan z))
14.0ms	(+ (tan y) (tan z))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

561.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
510.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
160.0ms	(* (tan y) (tan z))
121.0ms	(+ (tan y) (tan z))

simplify1.2s

Counts: 83 → 83

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize74.0ms

Local error

Found 4 expressions with local error:

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

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

Slowest

209.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
15.0ms	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))
10.0ms	(* (sin y) (sin z))
7.0ms	(+ (tan y) (tan z))

series865.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

532.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin y) (sin z)) (* (cos y) (cos z))))) (tan a))
151.0ms	(/ (* (sin y) (sin z)) (* (cos y) (cos z)))
135.0ms	(+ (tan y) (tan z))
47.0ms	(* (sin y) (sin z))

simplify635.0ms

Counts: 87 → 87

prune1.4s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize38.0ms

Local error

Found 4 expressions with local error:

3.5b	(/ (* (+ (tan z) (tan y)) (- (tan y) (tan z))) (- (tan y) (tan z)))
0.3b	(* (+ (tan z) (tan y)) (- (tan y) (tan z)))
0.2b	(* (tan y) (tan z))
0.2b	(- (/ (/ (* (+ (tan z) (tan y)) (- (tan y) (tan z))) (- (tan y) (tan z))) (- 1 (* (tan y) (tan z)))) (tan a))

rewrite526.0ms

Algorithm

rewrite-expression-head

Rules

39×	`tan-quot`
25×	`add-sqr-sqrt`
20×	`*-un-lft-identity`
19×	`frac-times`
15×	`associate-/l/`
13×	`add-cbrt-cube` `add-exp-log`
10×	`flip3--` `frac-sub` `add-cube-cbrt` `flip--`
8×	`pow1` `flip3-+` `associate-r` `frac-add` `flip-+`
7×	`associate-l` `associate-l/` `associate-r/`
6×	`times-frac` `add-log-exp`
5×	`associate-/r*` `difference-of-squares`
4×	`insert-posit16` `distribute-lft-out--`
3×	`sub-neg` `prod-exp` `associate-/r/` `cbrt-unprod`
2×	`distribute-rgt-in` `cbrt-undiv` `distribute-lft-in` `div-exp` `pow-prod-down` `*-commutative` `unswap-sqr`
1×	`clear-num` `frac-2neg` `diff-log` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 124

Calls

4 calls:

Slowest

353.0ms	(* (+ (tan z) (tan y)) (- (tan y) (tan z)))
108.0ms	(- (/ (/ (* (+ (tan z) (tan y)) (- (tan y) (tan z))) (- (tan y) (tan z))) (- 1 (* (tan y) (tan z)))) (tan a))
48.0ms	(/ (* (+ (tan z) (tan y)) (- (tan y) (tan z))) (- (tan y) (tan z)))
14.0ms	(* (tan y) (tan z))

series822.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

404.0ms	(- (/ (/ (* (+ (tan z) (tan y)) (- (tan y) (tan z))) (- (tan y) (tan z))) (- 1 (* (tan y) (tan z)))) (tan a))
225.0ms	(* (+ (tan z) (tan y)) (- (tan y) (tan z)))
98.0ms	(/ (* (+ (tan z) (tan y)) (- (tan y) (tan z))) (- (tan y) (tan z)))
96.0ms	(* (tan y) (tan z))

simplify668.0ms

Counts: 136 → 136

prune1.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.1b

regimes321.0ms

Accuracy

0% (0.1b remaining)

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

bsearch5.0ms

end0.0ms

sample11.4s

Algorithm

intervals

Results

6.4s	3951×	body	1280	valid
2.5s	1948×	body	640	valid
1.0s	8000×	pre	80	true
808.0ms	685×	body	320	valid
286.0ms	1147×	body	80	valid
108.0ms	269×	body	160	valid