Details

sample468.0ms

Algorithm

intervals

Results

258.0ms	129×	body	1280	valid
80.0ms	64×	body	640	valid
26.0ms	256×	pre	80	true
20.0ms	21×	body	320	valid
9.0ms	33×	body	80	valid
5.0ms	9×	body	160	valid

simplify194.0ms

Counts: 1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize24.0ms

Local error

Found 3 expressions with local error:

5.4b	(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

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

25.0ms	(- (tan (+ y z)) (tan a))
21.0ms	(+ x (- (tan (+ y z)) (tan a)))
9.0ms	(tan (+ y z))

series424.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

178.0ms	(- (tan (+ y z)) (tan a))
168.0ms	(+ x (- (tan (+ y z)) (tan a)))
77.0ms	(tan (+ y z))

simplify1.6s

Counts: 54 → 54

prune479.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.1b

localize82.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

Slowest

63.0ms	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
33.0ms	(* (+ (tan y) (tan z)) (cos a))
15.0ms	(* (tan y) (tan z))
14.0ms	(* (tan y) (tan z))

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

656.0ms	(/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))
217.0ms	(* (+ (tan y) (tan z)) (cos a))
128.0ms	(* (tan y) (tan z))
114.0ms	(* (tan y) (tan z))

simplify968.0ms

Counts: 112 → 112

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

2.4b	(log (exp (/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))))
0.6b	(exp (/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a))))
0.2b	(* (tan y) (tan z))
0.2b	(* (tan y) (tan z))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

18×	`exp-prod`
17×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
10×	`log-pow`
9×	`pow1`
8×	`add-cbrt-cube` `tan-quot` `add-exp-log`
6×	`times-frac` `associate-r` `associate-l` `associate-*l/`
5×	`add-log-exp`
4×	`associate-/r/` `insert-posit16`
3×	`log-prod`
2×	`frac-times` `flip3--` `exp-diff` `div-sub` `pow-prod-down` `prod-exp` `associate-r/` `-commutative` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`
1×	`log-div` `rem-log-exp` `rem-exp-log`

Counts

4 → 86

Calls

4 calls:

Slowest

51.0ms	(exp (/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a))))
47.0ms	(log (exp (/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))))
19.0ms	(* (tan y) (tan z))
13.0ms	(* (tan y) (tan z))

series1.7s

Counts

4 → 12

Calls

4 calls:

Slowest

831.0ms	(exp (/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a))))
680.0ms	(log (exp (/ (- (* (+ (tan y) (tan z)) (cos a)) (* (- 1 (* (tan y) (tan z))) (sin a))) (* (- 1 (* (tan y) (tan z))) (cos a)))))
128.0ms	(* (tan y) (tan z))
108.0ms	(* (tan y) (tan z))

simplify905.0ms

Counts: 98 → 98

prune1.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

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	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))

rewrite103.0ms

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

Counts

4 → 90

Calls

4 calls:

Slowest

59.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
22.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
14.0ms	(* (tan y) (tan z))
6.0ms	(+ (tan y) (tan z))

series911.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

459.0ms	(- (/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z)))) (tan a))
238.0ms	(/ (+ (tan y) (tan z)) (- 1 (* (tan y) (tan z))))
114.0ms	(* (tan y) (tan z))
100.0ms	(+ (tan y) (tan z))

simplify948.0ms

Counts: 102 → 102

prune978.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes617.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch4.0ms

end0.0ms

sample11.7s

Algorithm

intervals

Results

6.9s	3864×	body	1280	valid
2.2s	2011×	body	640	valid
929.0ms	8000×	pre	80	true
631.0ms	713×	body	320	valid
526.0ms	1130×	body	80	valid
145.0ms	282×	body	160	valid