Details

sample100.0ms

Algorithm

intervals

Results

25.0ms	35×	body	2560	valid
21.0ms	180×	body	80	valid
14.0ms	24×	body	1280	valid
11.0ms	104×	body	80	nan
9.0ms	20×	body	640	valid
3.0ms	9×	body	320	valid
1.0ms	1×	body	5120	valid
0.0ms	2×	body	160	valid

simplify132.0ms

Calls

1 calls:

Slowest

131.0ms

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

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 32.2b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sqrt-prod`
2×	`flip3--` `sqrt-div` `flip--`
1×	`neg-sub0` `+-commutative` `rem-sqrt-square` `neg-mul-1` `sum-log` `sub-neg` `flip3-+` `pow1/2` `fma-neg` `diff-log` `associate-l` `prod-diff` `*-commutative` `associate-+l-` `flip-+` `distribute-lft-out`

Calls

4 calls:

Slowest

10.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
6.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
3.0ms	(- (* b b) (* (* 3 a) c))
2.0ms	(* (* 3 a) c)

series281.0ms

Calls

4 calls:

Slowest

100.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
95.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
58.0ms	(- (* b b) (* (* 3 a) c))
28.0ms	(* (* 3 a) c)

simplify2.2s

Calls

25 calls:

Slowest

485.0ms	(sqrt (- (pow (* b b) 3) (pow (* (* 3 a) c) 3)))
320.0ms	(sqrt (- (* (* b b) (* b b)) (* (* (* 3 a) c) (* (* 3 a) c))))
184.0ms	(* (exp (- b)) (exp (sqrt (- (* b b) (* (* 3 a) c)))))
179.0ms	(- b (* 3/2 (/ (* a c) b)))
150.0ms	(/ (exp (* b b)) (exp (* (* 3 a) c)))

prune829.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 11.4b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sqrt-prod`
2×	`flip3--` `sqrt-div` `flip--`
1×	`neg-sub0` `+-commutative` `rem-sqrt-square` `neg-mul-1` `sum-log` `sub-neg` `flip3-+` `pow1/2` `fma-neg` `diff-log` `associate-r` `prod-diff` `*-commutative` `associate-+l-` `flip-+` `distribute-lft-out`

Calls

4 calls:

Slowest

9.0ms	(+ (- b) (sqrt (- (* b b) (* 3 (* a c)))))
3.0ms	(- (* b b) (* 3 (* a c)))
3.0ms	(sqrt (- (* b b) (* 3 (* a c))))
1.0ms	(* 3 (* a c))

series364.0ms

Calls

4 calls:

Slowest

133.0ms	(+ (- b) (sqrt (- (* b b) (* 3 (* a c)))))
120.0ms	(sqrt (- (* b b) (* 3 (* a c))))
74.0ms	(- (* b b) (* 3 (* a c)))
36.0ms	(* 3 (* a c))

simplify2.4s

Calls

25 calls:

Slowest

500.0ms	(sqrt (- (pow (* b b) 3) (pow (* 3 (* a c)) 3)))
320.0ms	(sqrt (- (* (* b b) (* b b)) (* (* 3 (* a c)) (* 3 (* a c)))))
221.0ms	(- b (* 3/2 (/ (* a c) b)))
136.0ms	(* (exp (- b)) (exp (sqrt (- (* b b) (* 3 (* a c))))))
126.0ms	(- (* 3/2 (/ (* a c) b)) (* 2 b))

prune864.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 11.4b

localize1.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity` `add-log-exp`
7×	`add-sqr-sqrt`
6×	`add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `fma-def` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u`
3×	`sqrt-prod`
2×	`flip3--` `sqrt-div` `flip--`
1×	`neg-sub0` `+-commutative` `rem-sqrt-square` `neg-mul-1` `sum-log` `sub-neg` `flip3-+` `pow1/2` `fma-neg` `diff-log` `associate-l` `prod-diff` `*-commutative` `associate-+l-` `flip-+` `distribute-lft-out`

Calls

4 calls:

Slowest

7.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
6.0ms	(- (* b b) (* (* 3 a) c))
5.0ms	(* (* 3 a) c)
3.0ms	(sqrt (- (* b b) (* (* 3 a) c)))

series348.0ms

Calls

4 calls:

Slowest

129.0ms	(sqrt (- (* b b) (* (* 3 a) c)))
113.0ms	(+ (- b) (sqrt (- (* b b) (* (* 3 a) c))))
74.0ms	(- (* b b) (* (* 3 a) c))
31.0ms	(* (* 3 a) c)

simplify2.4s

Calls

25 calls:

Slowest

476.0ms	(sqrt (- (pow (* b b) 3) (pow (* (* 3 a) c) 3)))
229.0ms	(sqrt (- (* (* b b) (* b b)) (* (* (* 3 a) c) (* (* 3 a) c))))
217.0ms	(- b (* 3/2 (/ (* a c) b)))
171.0ms	(/ (exp (* b b)) (exp (* (* 3 a) c)))
165.0ms	(* (exp (- b)) (exp (sqrt (- (* b b) (* (* 3 a) c)))))

prune1.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 11.4b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
10×	`add-sqr-sqrt`
8×	`fma-def` `add-cube-cbrt` `add-log-exp`
6×	`sqrt-prod`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `sqrt-div` `add-exp-log` `insert-posit16` `log1p-expm1-u`
2×	`neg-sub0` `+-commutative` `rem-sqrt-square` `neg-mul-1` `sum-log` `flip3-+` `flip3--` `pow1/2` `associate-+l-` `flip-+` `flip--` `distribute-lft-out`

Calls

4 calls:

Slowest

14.0ms	(+ (- b) (sqrt (- (* b b) (* 3 (* a c)))))
14.0ms	(+ (- b) (sqrt (- (* b b) (* 3 (* a c)))))
7.0ms	(sqrt (- (* b b) (* 3 (* a c))))
6.0ms	(sqrt (- (* b b) (* 3 (* a c))))

series414.0ms

Calls

4 calls:

Slowest

128.0ms	(sqrt (- (* b b) (* 3 (* a c))))
104.0ms	(+ (- b) (sqrt (- (* b b) (* 3 (* a c)))))
99.0ms	(+ (- b) (sqrt (- (* b b) (* 3 (* a c)))))
83.0ms	(sqrt (- (* b b) (* 3 (* a c))))

simplify3.3s

Calls

32 calls:

Slowest

436.0ms	(sqrt (- (pow (* b b) 3) (pow (* 3 (* a c)) 3)))
366.0ms	(sqrt (- (pow (* b b) 3) (pow (* 3 (* a c)) 3)))
287.0ms	(sqrt (- (* (* b b) (* b b)) (* (* 3 (* a c)) (* 3 (* a c)))))
246.0ms	(- b (* 3/2 (/ (* a c) b)))
233.0ms	(sqrt (- (* (* b b) (* b b)) (* (* 3 (* a c)) (* 3 (* a c)))))

prune1.2s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 11.4b

regimes590.0ms

Accuracy

87.8% (2.7b remaining)

Error of 13.4b against oracle of 10.6b and baseline of 33.1b

bsearch187.0ms

end0.0ms

sample4.2s

Algorithm

intervals

Results

1.0s	1060×	body	2560	valid
851.0ms	5832×	body	80	valid
813.0ms	910×	body	1280	valid
760.0ms	2889×	body	80	nan
260.0ms	476×	body	640	valid
132.0ms	124×	body	5120	valid
80.0ms	227×	body	320	valid
26.0ms	101×	body	160	valid