Details

sample295.0ms

Algorithm

intervals

Results

165.0ms	120×	body	1280	valid
56.0ms	72×	body	640	valid
15.0ms	256×	pre	80	true
7.0ms	13×	body	320	valid
7.0ms	38×	body	80	valid
5.0ms	13×	body	160	valid

simplify7.0ms

Counts: 1 → 1

prune45.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.8b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ x (- (tan (+ y z)) (tan a)))
0.2b	(- (tan (+ y z)) (tan a))
3.4b	(tan (+ y z))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

10×	`*-un-lft-identity` `add-log-exp`
5×	`add-sqr-sqrt`
4×	`tan-quot`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`sub-neg` `tan-sum` `associate-+r+` `diff-log` `sum-log` `frac-sub` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `associate-+r-` `flip3--` `flip3-+` `flip--` `flip-+` `difference-of-squares`

Counts

3 → 42

Calls

3 calls:

17.0ms	(+ x (- (tan (+ y z)) (tan a)))
18.0ms	(- (tan (+ y z)) (tan a))
7.0ms	(tan (+ y z))

series419.0ms

Counts

3 → 9

Calls

3 calls:

171.0ms	(+ x (- (tan (+ y z)) (tan a)))
166.0ms	(- (tan (+ y z)) (tan a))
81.0ms	(tan (+ y z))

simplify38.0ms

Counts: 51 → 51

prune188.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

40.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
12.0ms	(+ (tan y) (tan z))
98.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
23.0ms	(* (tan y) (tan z))

series1.1s

Counts

4 → 12

Calls

4 calls:

292.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
128.0ms	(+ (tan y) (tan z))
600.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
119.0ms	(* (tan y) (tan z))

simplify103.0ms

Counts: 98 → 98

prune462.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`prod-exp` `cbrt-unprod`
8×	`pow1` `cbrt-undiv` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
6×	`associate-r` `associate-l`
4×	`sin-mult` `add-log-exp`
2×	`frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `cos-mult` `-commutative` `div-inv` `associate-/l/` `associate-/l*` `unswap-sqr`

Counts

4 → 84

Calls

4 calls:

17.0ms	(* (sin y) (sin z))
17.0ms	(* (sin y) (sin z))
34.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))
26.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))

series396.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* (sin y) (sin z))
63.0ms	(* (sin y) (sin z))
137.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))
137.0ms	(/ (* (sin y) (sin z)) (* (cos z) (cos y)))

simplify37.0ms

Counts: 96 → 96

prune519.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (tan y) (tan z))) (cbrt (+ (tan y) (tan z))))
0.6b	(cbrt (+ (tan y) (tan z)))
0.6b	(cbrt (+ (tan y) (tan z)))
0.6b	(cbrt (+ (tan y) (tan z)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
33×	`cbrt-div`
23×	`add-sqr-sqrt`
22×	`tan-quot`
15×	`add-cube-cbrt`
11×	`pow1` `flip3-+` `frac-add` `flip-+`
9×	`frac-times` `pow1/3` `swap-sqr` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-r/` `associate-l/`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 105

Calls

4 calls:

71.0ms	(* (cbrt (+ (tan y) (tan z))) (cbrt (+ (tan y) (tan z))))
10.0ms	(cbrt (+ (tan y) (tan z)))
10.0ms	(cbrt (+ (tan y) (tan z)))
10.0ms	(cbrt (+ (tan y) (tan z)))

series789.0ms

Counts

4 → 12

Calls

4 calls:

219.0ms	(* (cbrt (+ (tan y) (tan z))) (cbrt (+ (tan y) (tan z))))
177.0ms	(cbrt (+ (tan y) (tan z)))
204.0ms	(cbrt (+ (tan y) (tan z)))
188.0ms	(cbrt (+ (tan y) (tan z)))

simplify52.0ms

Counts: 117 → 117

prune575.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes675.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify35.0ms

end0.0ms

sample10.5s

Algorithm

intervals

Results

6.3s	3965×	body	1280	valid
2.4s	1960×	body	640	valid
524.0ms	8000×	pre	80	true
363.0ms	680×	body	320	valid
204.0ms	1108×	body	80	valid
98.0ms	287×	body	160	valid