Details

Time bar (total: 14.5s)

sample47.0ms

Algorithm
intervals
Results
20.0ms288×body80valid
5.0ms81×body80nan

simplify144.0ms

Counts
1 → 1
Iterations
IterNodes
done166
6166
5164
4150
3116
266
135
020

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize143.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.2b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.4b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.4b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-cbrt-cube sqrt-div add-exp-log
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sum-log distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×associate--l- +-commutative sub-neg flip3-+ associate-+l- flip-+
Counts
4 → 63
Calls
4 calls:
25.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
24.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series452.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
126.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
91.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
124.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify596.0ms

Counts
75 → 75
Iterations
IterNodes
done5000
21037
1255
0100

prune627.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.9b

localize147.0ms

Local error

Found 4 expressions with local error:

11.4b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* c 4.0) a)))) (sqrt (sqrt (- (* b b) (* (* c 4.0) a))))))
22.4b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.4b
(sqrt (- (* b b) (* (* c 4.0) a)))
22.4b
(sqrt (- (* b b) (* (* c 4.0) a)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 *-un-lft-identity add-cube-cbrt
6×sqrt-div
4×add-cbrt-cube add-exp-log
3×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 flip--
2×sum-log
1×neg-sub0 +-commutative flip3-+ neg-log associate-+l- flip-+
Counts
4 → 58
Calls
4 calls:
12.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* c 4.0) a)))) (sqrt (sqrt (- (* b b) (* (* c 4.0) a))))))
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
10.0ms
(sqrt (- (* b b) (* (* c 4.0) a)))
9.0ms
(sqrt (- (* b b) (* (* c 4.0) a)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* c 4.0) a)))) (sqrt (sqrt (- (* b b) (* (* c 4.0) a))))))
108.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
100.0ms
(sqrt (- (* b b) (* (* c 4.0) a)))
101.0ms
(sqrt (- (* b b) (* (* c 4.0) a)))

simplify697.0ms

Counts
70 → 70
Iterations
IterNodes
done5000
21254
1313
0113

prune716.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.9b

localize147.0ms

Local error

Found 4 expressions with local error:

9.5b
(+ (- b) (* (fabs (cbrt (- (* b b) (* (* c 4.0) a)))) (sqrt (cbrt (- (* b b) (* (* c 4.0) a))))))
22.4b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.1b
(cbrt (- (* b b) (* (* c 4.0) a)))
23.1b
(cbrt (- (* b b) (* (* c 4.0) a)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
7×*-un-lft-identity add-cube-cbrt
6×cbrt-prod
5×pow1
4×cbrt-div add-cbrt-cube add-exp-log
3×flip3-- sqrt-prod flip--
2×sum-log pow1/3 sqrt-div
1×neg-sub0 +-commutative rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 neg-log associate-+l- flip-+
Counts
4 → 54
Calls
4 calls:
18.0ms
(+ (- b) (* (fabs (cbrt (- (* b b) (* (* c 4.0) a)))) (sqrt (cbrt (- (* b b) (* (* c 4.0) a))))))
23.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
10.0ms
(cbrt (- (* b b) (* (* c 4.0) a)))
9.0ms
(cbrt (- (* b b) (* (* c 4.0) a)))

series568.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ (- b) (* (fabs (cbrt (- (* b b) (* (* c 4.0) a)))) (sqrt (cbrt (- (* b b) (* (* c 4.0) a))))))
133.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
150.0ms
(cbrt (- (* b b) (* (* c 4.0) a)))
156.0ms
(cbrt (- (* b b) (* (* c 4.0) a)))

simplify867.0ms

Counts
66 → 66
Iterations
IterNodes
done5001
21837
1432
0162

prune856.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.9b

localize244.0ms

Local error

Found 4 expressions with local error:

23.1b
(cbrt (- (* b b) (* (* c 4.0) a)))
23.1b
(cbrt (- (* b b) (* c (* 4.0 a))))
23.1b
(cbrt (- (* b b) (* c (* 4.0 a))))
23.1b
(cbrt (- (* b b) (* c (* 4.0 a))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt cbrt-div *-un-lft-identity add-cube-cbrt
4×pow1 flip3-- add-cbrt-cube pow1/3 add-exp-log flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
8.0ms
(cbrt (- (* b b) (* (* c 4.0) a)))
8.0ms
(cbrt (- (* b b) (* c (* 4.0 a))))
8.0ms
(cbrt (- (* b b) (* c (* 4.0 a))))
8.0ms
(cbrt (- (* b b) (* c (* 4.0 a))))

series652.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- (* b b) (* (* c 4.0) a)))
162.0ms
(cbrt (- (* b b) (* c (* 4.0 a))))
166.0ms
(cbrt (- (* b b) (* c (* 4.0 a))))
171.0ms
(cbrt (- (* b b) (* c (* 4.0 a))))

simplify2.7s

Counts
64 → 64
Iterations
IterNodes
done5000
34114
2734
1217
091

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 4.9b

regimes444.0ms

Accuracy

91.7% (1.2b remaining)

Error of 7.2b against oracle of 6.0b and baseline of 20.0b

bsearch234.0ms

Steps
ItersRangePoint
9
3.768382185355077e+69
1.107955803311012e+78
8.269023837734684e+75
3
-1.644112463012158e+125
-1.3119232040995741e+125
-1.5403033196019757e+125

simplify10.0ms

Iterations
IterNodes
done58
158
046

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.6s8726×body80valid
375.0ms2814×body80nan