Details

sample526.0ms

Algorithm

intervals

Results

333.0ms	129×	body	1280	valid
89.0ms	65×	body	640	valid
37.0ms	256×	pre	80	true
17.0ms	21×	body	320	valid
9.0ms	35×	body	80	valid
4.0ms	6×	body	160	valid

simplify208.0ms

Counts: 1 → 1

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.1b

localize35.0ms

Local error

Found 3 expressions with local error:

2.5b	(tan (+ y z))
0.1b	(- (tan (+ y z)) (tan a))
0.1b	(+ x (- (tan (+ y z)) (tan a)))

rewrite36.0ms

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	(- (tan (+ y z)) (tan a))
10.0ms	(+ x (- (tan (+ y z)) (tan a)))
10.0ms	(tan (+ y z))

series417.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

174.0ms	(+ x (- (tan (+ y z)) (tan a)))
170.0ms	(- (tan (+ y z)) (tan a))
74.0ms	(tan (+ y z))

simplify1.5s

Counts: 54 → 54

prune620.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite256.0ms

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

124.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
101.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
15.0ms	(* (tan y) (tan z))
14.0ms	(+ (tan y) (tan z))

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

567.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
555.0ms	(+ x (- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a)))
141.0ms	(* (tan y) (tan z))
128.0ms	(+ (tan y) (tan z))

simplify1.1s

Counts: 83 → 83

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

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

rewrite214.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 74

Calls

4 calls:

Slowest

160.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
21.0ms	(* (tan y) (sin z))
16.0ms	(+ (tan y) (tan z))
15.0ms	(/ (* (tan y) (sin z)) (cos z))

series911.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

554.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (/ (* (tan y) (sin z)) (cos z)))) (tan a))
134.0ms	(+ (tan y) (tan z))
117.0ms	(/ (* (tan y) (sin z)) (cos z))
105.0ms	(* (tan y) (sin z))

simplify1.7s

Counts: 86 → 86

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize88.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

156×	`times-frac`
110×	`add-sqr-sqrt`
92×	`*-un-lft-identity` `add-cube-cbrt`
86×	`associate-l`
26×	`add-cbrt-cube` `add-exp-log`
10×	`div-inv`
8×	`pow1` `cbrt-undiv` `div-exp`
6×	`associate-/r` `associate-r` `prod-exp` `cbrt-unprod` `associate-/l` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
2×	`quot-tan` `clear-num` `frac-2neg` `pow-prod-down` `associate-l/` `-commutative`

Counts

4 → 190

Calls

4 calls:

Slowest

33.0ms	(* (/ (/ (sin z) (cos z)) (cos y)) (sin y))
23.0ms	(* (/ (/ (sin z) (cos z)) (cos y)) (sin y))
16.0ms	(/ (sin z) (cos z))
14.0ms	(/ (sin a) (cos a))

series360.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

167.0ms	(* (/ (/ (sin z) (cos z)) (cos y)) (sin y))
152.0ms	(* (/ (/ (sin z) (cos z)) (cos y)) (sin y))
21.0ms	(/ (sin z) (cos z))
20.0ms	(/ (sin a) (cos a))

simplify778.0ms

Counts: 202 → 202

prune4.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes819.0ms

Accuracy

0% (0.1b remaining)

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

bsearch6.0ms

end0.0ms

sample12.6s

Algorithm

intervals

Results

7.4s	3873×	body	1280	valid
2.6s	1970×	body	640	valid
1.2s	8000×	pre	80	true
558.0ms	709×	body	320	valid
337.0ms	1180×	body	80	valid
149.0ms	268×	body	160	valid