Details

sample425.0ms

Algorithm

intervals

Results

237.0ms	134×	body	1280	valid
106.0ms	66×	body	640	valid
27.0ms	256×	pre	80	true
16.0ms	20×	body	320	valid
7.0ms	31×	body	80	valid
2.0ms	5×	body	160	valid

simplify507.0ms

Counts: 1 → 1

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.5b

localize18.0ms

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)))

rewrite57.0ms

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))
23.0ms	(+ x (- (tan (+ y z)) (tan a)))
5.0ms	(tan (+ y z))

series456.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

204.0ms	(- (tan (+ y z)) (tan a))
161.0ms	(+ x (- (tan (+ y z)) (tan a)))
91.0ms	(tan (+ y z))

simplify2.3s

Counts: 84 → 84

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

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)))

rewrite271.0ms

Algorithm

rewrite-expression-head

Rules

151×	`*-un-lft-identity`
108×	`prod-diff`
107×	`add-sqr-sqrt`
100×	`add-cube-cbrt`
85×	`times-frac`
56×	`associate-+r+`
24×	`distribute-lft-out`
18×	`fma-neg`
14×	`associate-/r/`
13×	`add-log-exp`
8×	`flip3--` `flip--`
7×	`tan-quot` `div-inv`
6×	`pow1` `fma-def` `add-cbrt-cube` `add-exp-log`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`sum-log` `associate-r` `associate-l`
2×	`+-commutative` `sub-neg` `flip3-+` `diff-log` `flip-+` `distribute-lft-out--` `difference-of-squares`
1×	`frac-times` `associate-+r-` `pow-prod-down` `associate-l/` `frac-add` `prod-exp` `associate-r/` `*-commutative` `frac-sub` `cbrt-unprod` `unswap-sqr`

Counts

4 → 211

Calls

4 calls:

Slowest

143.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
87.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
18.0ms	(* (tan y) (tan z))
13.0ms	(+ (tan y) (tan z))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

664.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
532.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
148.0ms	(* (tan y) (tan z))
100.0ms	(+ (tan y) (tan z))

simplify792.0ms

Counts: 223 → 223

prune3.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite374.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 206

Calls

4 calls:

Slowest

317.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z))))) (tan a))
17.0ms	(/ (* (sin z) (sin y)) (* (cos y) (cos z)))
17.0ms	(* (sin z) (sin y))
15.0ms	(+ (tan y) (tan z))

series739.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

452.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (sin z) (sin y)) (* (cos y) (cos z))))) (tan a))
121.0ms	(/ (* (sin z) (sin y)) (* (cos y) (cos z)))
101.0ms	(+ (tan y) (tan z))
64.0ms	(* (sin z) (sin y))

simplify787.0ms

Counts: 218 → 218

prune3.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.3b	(pow (/ (* (sin z) (sin y)) (* (cos y) (cos z))) 3)
0.2b	(* (/ (* (sin z) (sin y)) (* (cos y) (cos z))) (/ (* (sin z) (sin y)) (* (cos y) (cos z))))
0.2b	(* (sin z) (sin y))
0.2b	(* (sin z) (sin y))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

151×	`add-cbrt-cube` `add-exp-log`
71×	`prod-exp` `cbrt-unprod`
44×	`cbrt-undiv` `div-exp`
21×	`add-sqr-sqrt`
16×	`pow1`
15×	`*-un-lft-identity` `add-cube-cbrt`
12×	`associate-r` `associate-l`
6×	`unpow-prod-down` `times-frac` `cube-prod` `swap-sqr` `associate-/r/` `cos-mult` `div-inv`
5×	`pow-exp` `rem-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `*-commutative` `unswap-sqr`
2×	`sin-mult`
1×	`cube-div` `pow2` `cube-mult` `frac-times` `pow-to-exp` `pow-pow` `pow-plus` `unpow3` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up` `sqr-pow`

Counts

4 → 173

Calls

4 calls:

Slowest

65.0ms	(* (/ (* (sin z) (sin y)) (* (cos y) (cos z))) (/ (* (sin z) (sin y)) (* (cos y) (cos z))))
15.0ms	(pow (/ (* (sin z) (sin y)) (* (cos y) (cos z))) 3)
12.0ms	(* (sin z) (sin y))
11.0ms	(* (sin z) (sin y))

series387.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

141.0ms	(pow (/ (* (sin z) (sin y)) (* (cos y) (cos z))) 3)
135.0ms	(* (/ (* (sin z) (sin y)) (* (cos y) (cos z))) (/ (* (sin z) (sin y)) (* (cos y) (cos z))))
57.0ms	(* (sin z) (sin y))
55.0ms	(* (sin z) (sin y))

simplify1.1s

Counts: 185 → 185

prune3.8s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes476.0ms

Accuracy

0% (0.1b remaining)

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

bsearch9.0ms

end0.0ms

sample12.5s

Algorithm

intervals

Results

7.4s	3951×	body	1280	valid
2.8s	1948×	body	640	valid
768.0ms	8000×	pre	80	true
597.0ms	685×	body	320	valid
250.0ms	1147×	body	80	valid
169.0ms	269×	body	160	valid