Details

Time bar (total: 16.9s)

sample103.0ms

Algorithm
intervals
Results
25.0ms35×body2560valid
21.0ms180×body80valid
15.0ms24×body1280valid
12.0ms104×body80nan
10.0ms20×body640valid
4.0ms9×body320valid
1.0ms1×body5120valid
0.0ms2×body160valid

simplify148.0ms

Calls
1 calls:
Slowest
147.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a))

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize21.0ms

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))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt add-log-exp
5×*-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×flip3-- sqrt-prod flip--
2×sub-neg sqrt-div
1×rem-sqrt-square pow1/2 diff-log associate-*l* *-commutative
Calls
4 calls:
Slowest
23.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
4.0ms
(sqrt (- (* b b) (* (* 3 a) c)))
2.0ms
(* (* 3 a) c)
2.0ms
(- (* b b) (* (* 3 a) c))

series254.0ms

Calls
4 calls:
Slowest
94.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
87.0ms
(sqrt (- (* b b) (* (* 3 a) c)))
49.0ms
(- (* b b) (* (* 3 a) c))
23.0ms
(* (* 3 a) c)

simplify1.9s

Calls
19 calls:
Slowest
487.0ms
(sqrt (- (pow (* b b) 3) (pow (* (* 3 a) c) 3)))
266.0ms
(- b (* 3/2 (/ (* a c) b)))
221.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* 3 a) c) (* (* 3 a) c))))
148.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))
111.0ms
(- (* 3/2 (/ (* a c) b)) (* 2 b))

prune833.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.1b

localize16.0ms

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)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt add-log-exp
5×*-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×flip3-- sqrt-prod flip--
2×sub-neg sqrt-div
1×rem-sqrt-square pow1/2 diff-log associate-*r* *-commutative
Calls
4 calls:
Slowest
16.0ms
(- (sqrt (- (* b b) (* 3 (* a c)))) b)
6.0ms
(- (* b b) (* 3 (* a c)))
2.0ms
(sqrt (- (* b b) (* 3 (* a c))))
2.0ms
(* 3 (* a c))

series272.0ms

Calls
4 calls:
Slowest
103.0ms
(- (sqrt (- (* b b) (* 3 (* a c)))) b)
84.0ms
(sqrt (- (* b b) (* 3 (* a c))))
62.0ms
(- (* b b) (* 3 (* a c)))
23.0ms
(* 3 (* a c))

simplify1.7s

Calls
19 calls:
Slowest
412.0ms
(sqrt (- (pow (* b b) 3) (pow (* 3 (* a c)) 3)))
239.0ms
(sqrt (- (* (* b b) (* b b)) (* (* 3 (* a c)) (* 3 (* a c)))))
202.0ms
(- b (* 3/2 (/ (* a c) b)))
155.0ms
(/ (exp (* b b)) (exp (* 3 (* a c))))
110.0ms
(- (* 3/2 (/ (* a c) b)) (* 2 b))

prune697.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 12.1b

localize2.0ms

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))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt add-log-exp
5×*-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×flip3-- sqrt-prod flip--
2×sub-neg sqrt-div
1×rem-sqrt-square pow1/2 diff-log associate-*l* *-commutative
Calls
4 calls:
Slowest
26.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
5.0ms
(* (* 3 a) c)
5.0ms
(- (* b b) (* (* 3 a) c))
5.0ms
(sqrt (- (* b b) (* (* 3 a) c)))

series284.0ms

Calls
4 calls:
Slowest
112.0ms
(- (sqrt (- (* b b) (* (* 3 a) c))) b)
84.0ms
(sqrt (- (* b b) (* (* 3 a) c)))
60.0ms
(- (* b b) (* (* 3 a) c))
28.0ms
(* (* 3 a) c)

simplify2.0s

Calls
19 calls:
Slowest
530.0ms
(sqrt (- (pow (* b b) 3) (pow (* (* 3 a) c) 3)))
245.0ms
(sqrt (- (* (* b b) (* b b)) (* (* (* 3 a) c) (* (* 3 a) c))))
216.0ms
(- b (* 3/2 (/ (* a c) b)))
190.0ms
(/ (exp (* b b)) (exp (* (* 3 a) c)))
134.0ms
(- (* 3/2 (/ (* a c) b)) (* 2 b))

prune753.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 12.1b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt add-log-exp
5×*-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log insert-posit16
3×flip3-- sqrt-prod flip--
2×sub-neg sqrt-div
1×rem-sqrt-square pow1/2 diff-log associate-*r* *-commutative
Calls
4 calls:
Slowest
14.0ms
(- (sqrt (- (* b b) (* a (* 3 c)))) b)
9.0ms
(sqrt (- (* b b) (* a (* 3 c))))
3.0ms
(- (* b b) (* a (* 3 c)))
1.0ms
(* a (* 3 c))

series268.0ms

Calls
4 calls:
Slowest
113.0ms
(- (sqrt (- (* b b) (* a (* 3 c)))) b)
86.0ms
(sqrt (- (* b b) (* a (* 3 c))))
49.0ms
(- (* b b) (* a (* 3 c)))
20.0ms
(* a (* 3 c))

simplify2.0s

Calls
19 calls:
Slowest
472.0ms
(sqrt (- (pow (* b b) 3) (pow (* a (* 3 c)) 3)))
277.0ms
(- b (* 3/2 (/ (* a c) b)))
264.0ms
(sqrt (- (* (* b b) (* b b)) (* (* a (* 3 c)) (* a (* 3 c)))))
152.0ms
(/ (exp (* b b)) (exp (* a (* 3 c))))
149.0ms
(- (* 3/2 (/ (* a c) b)) (* 2 b))

prune732.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 12.1b

regimes484.0ms

Accuracy

87.3% (2.7b remaining)

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

bsearch238.0ms

end0.0ms

sample4.0s

Algorithm
intervals
Results
1.2s5832×body80valid
960.0ms1060×body2560valid
697.0ms910×body1280valid
359.0ms2889×body80nan
292.0ms476×body640valid
144.0ms124×body5120valid
80.0ms227×body320valid
24.0ms101×body160valid