Details

sample79.0ms

Algorithm

intervals

Results

18.0ms	35×	body	2560	valid
15.0ms	180×	body	80	valid
14.0ms	104×	body	80	nan
10.0ms	24×	body	1280	valid
6.0ms	20×	body	640	valid
2.0ms	9×	body	320	valid
1.0ms	1×	body	5120	valid
0.0ms	2×	body	160	valid

simplify146.0ms

Calls

1 calls:

Slowest

146.0ms

(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize23.0ms

Local error

Found 4 expressions with local error:

19.7b	(sqrt (- (* b b) (* (* 3 a) c)))
1.4b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b	(* (* 3 a) c)
0.2b	(- (* b b) (* (* 3 a) c))

rewrite429.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-log-exp`
6×	`add-cube-cbrt`
4×	`sqrt-prod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `distribute-lft-out--`

Calls

4 calls:

Slowest

363.0ms	(* (* 3 a) c)
36.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
14.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
14.0ms	(- (* b b) (* (* 3 a) c))

series293.0ms

Calls

4 calls:

Slowest

106.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
106.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
55.0ms	(- (* b b) (* (* 3 a) c))
25.0ms	(* (* 3 a) c)

simplify3.2s

Calls

34 calls:

Slowest

408.0ms	(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
379.0ms	(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
297.0ms	(sqrt (- (* (* b b) (* b b)) (* (* (* 3 a) c) (* (* 3 a) c))))
258.0ms	(/ (exp (* b b)) (exp (* (* 3 a) c)))
247.0ms	(- b (* 3/2 (/ (* a c) b)))

prune821.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.1b

localize31.0ms

Local error

Found 4 expressions with local error:

19.7b	(sqrt (- (* b b) (* 3 (* a c))))
1.4b	(- (sqrt (- (* b b) (* 3 (* a c)))) b)
0.2b	(* 3 (* a c))
0.2b	(- (* b b) (* 3 (* a c)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-log-exp`
6×	`add-cube-cbrt`
4×	`sqrt-prod` `insert-posit16`
3×	`flip3--` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r` `*-commutative` `distribute-lft-out--`

Calls

4 calls:

Slowest

60.0ms	(- (sqrt (- (* b b) (* 3 (* a c)))) b)
14.0ms	(sqrt (- (* b b) (* 3 (* a c))))
12.0ms	(* 3 (* a c))
9.0ms	(- (* b b) (* 3 (* a c)))

series295.0ms

Calls

4 calls:

Slowest

111.0ms	(- (sqrt (- (* b b) (* 3 (* a c)))) b)
93.0ms	(sqrt (- (* b b) (* 3 (* a c))))
58.0ms	(- (* b b) (* 3 (* a c)))
32.0ms	(* 3 (* a c))

simplify3.5s

Calls

34 calls:

Slowest

519.0ms	(* (* (* 3 3) 3) (* (* (* a c) (* a c)) (* a c)))
388.0ms	(* (* (* 3 3) 3) (* (* (* a a) a) (* (* c c) c)))
346.0ms	(sqrt (- (* (* b b) (* b b)) (* (* 3 (* a c)) (* 3 (* a c)))))
315.0ms	(/ (exp (* b b)) (exp (* 3 (* a c))))
258.0ms	(- b (* 3/2 (/ (* a c) b)))

prune911.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.1b

localize23.0ms

Local error

Found 4 expressions with local error:

19.7b	(sqrt (- (* b b) (* (* 3 a) c)))
1.4b	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
0.2b	(* (* 3 a) c)
0.2b	(- (* b b) (* (* 3 a) c))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-log-exp`
6×	`add-cube-cbrt`
4×	`sqrt-prod` `insert-posit16`
3×	`flip3--` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--`
2×	`sub-neg` `sqrt-div` `diff-log` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-l` `*-commutative` `distribute-lft-out--`

Calls

4 calls:

Slowest

59.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
27.0ms	(* (* 3 a) c)
19.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
14.0ms	(- (* b b) (* (* 3 a) c))

series301.0ms

Calls

4 calls:

Slowest

113.0ms	(- (sqrt (- (* b b) (* (* 3 a) c))) b)
104.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
63.0ms	(- (* b b) (* (* 3 a) c))
20.0ms	(* (* 3 a) c)

simplify3.1s

Calls

34 calls:

Slowest

436.0ms	(* (* (* (* 3 a) (* 3 a)) (* 3 a)) (* (* c c) c))
403.0ms	(* (* (* (* 3 3) 3) (* (* a a) a)) (* (* c c) c))
274.0ms	(sqrt (- (* (* b b) (* b b)) (* (* (* 3 a) c) (* (* 3 a) c))))
228.0ms	(/ (exp (* b b)) (exp (* (* 3 a) c)))
191.0ms	(- b (* 3/2 (/ (* a c) b)))

prune796.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 12.1b

localize38.0ms

Local error

Found 4 expressions with local error:

19.7b	(sqrt (+ (* b b) (* (* c -3) a)))
1.4b	(- (sqrt (+ (* b b) (* (* c -3) a))) b)
0.2b	(* (* c -3) a)
0.2b	(+ (* b b) (* (* c -3) a))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1`
9×	`add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-log-exp`
6×	`add-cube-cbrt`
4×	`sqrt-prod` `insert-posit16`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `sqrt-div` `flip-+` `difference-of-squares`
1×	`+-commutative` `rem-sqrt-square` `sum-log` `sub-neg` `sqrt-pow1` `flip3--` `pow1/2` `diff-log` `associate-l` `*-commutative` `flip--` `distribute-lft-out--`

Calls

4 calls:

Slowest

42.0ms	(- (sqrt (+ (* b b) (* (* c -3) a))) b)
19.0ms	(* (* c -3) a)
7.0ms	(+ (* b b) (* (* c -3) a))
6.0ms	(sqrt (+ (* b b) (* (* c -3) a)))

series351.0ms

Calls

4 calls:

Slowest

128.0ms	(- (sqrt (+ (* b b) (* (* c -3) a))) b)
115.0ms	(sqrt (+ (* b b) (* (* c -3) a)))
75.0ms	(+ (* b b) (* (* c -3) a))
33.0ms	(* (* c -3) a)

simplify2.7s

Calls

34 calls:

Slowest

362.0ms	(* (* (* (* c -3) (* c -3)) (* c -3)) (* (* a a) a))
361.0ms	(sqrt (- (* (* b b) (* b b)) (* (* (* c -3) a) (* (* c -3) a))))
319.0ms	(* (* (* (* c c) c) (* (* -3 -3) -3)) (* (* a a) a))
235.0ms	(* (exp (* b b)) (exp (* (* c -3) a)))
218.0ms	(- b (* 3/2 (/ (* a c) b)))

prune759.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 12.1b

regimes475.0ms

Accuracy

87.3% (2.8b remaining)

Error of 14.2b against oracle of 11.5b and baseline of 33.1b

bsearch219.0ms

end0.0ms

sample4.1s

Algorithm

intervals

Results

1.3s	5832×	body	80	valid
970.0ms	1060×	body	2560	valid
680.0ms	910×	body	1280	valid
314.0ms	2889×	body	80	nan
246.0ms	476×	body	640	valid
159.0ms	124×	body	5120	valid
134.0ms	227×	body	320	valid
24.0ms	101×	body	160	valid