Details

Time bar (total: 17.4s)

sample104.0ms

Algorithm
intervals
Results
48.0ms281×body80valid
11.0ms89×body80nan

simplify111.0ms

Counts
1 → 1
Iterations
IterNodes
done179
6179
5175
4163
3136
278
138
020

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize149.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.8b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite102.0ms

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:
35.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
36.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
15.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
110.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
123.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
132.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify638.0ms

Counts
75 → 75
Iterations
IterNodes
done5000
21036
1254
0100

prune701.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.5b

localize201.0ms

Local error

Found 4 expressions with local error:

6.3b
(+ (- b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite52.0ms

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) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series549.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(+ (- b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
118.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
173.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
156.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify744.0ms

Counts
66 → 66
Iterations
IterNodes
done5000
21535
1378
0146

prune761.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.5b

localize269.0ms

Local error

Found 4 expressions with local error:

23.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.8b
(cbrt (- (pow b 2) (* a (* 4.0 c))))
23.8b
(cbrt (- (pow b 2) (* a (* 4.0 c))))
23.8b
(cbrt (- (pow b 2) (* a (* 4.0 c))))

rewrite46.0ms

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:
9.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
11.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))
12.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))
12.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))

series601.0ms

Counts
4 → 12
Calls
4 calls:
139.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
151.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))
147.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))
163.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))

simplify2.8s

Counts
64 → 64
Iterations
IterNodes
done5001
34635
2847
1228
093

prune1.0s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.5b

localize300.0ms

Local error

Found 4 expressions with local error:

23.0b
(sqrt (- (pow b 2) (* c (* a 4.0))))
23.8b
(cbrt (- (pow b 2) (* a (* 4.0 c))))
23.8b
(cbrt (- (pow b 2) (* a (* 4.0 c))))
23.8b
(cbrt (- (pow b 2) (* a (* 4.0 c))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-div
5×pow1
4×flip3-- add-cbrt-cube add-exp-log flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
11.0ms
(sqrt (- (pow b 2) (* c (* a 4.0))))
11.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))
9.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))
6.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))

series543.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(sqrt (- (pow b 2) (* c (* a 4.0))))
165.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))
130.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))
158.0ms
(cbrt (- (pow b 2) (* a (* 4.0 c))))

simplify2.2s

Counts
66 → 66
Iterations
IterNodes
done5002
34258
2858
1248
0105

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.5b

regimes651.0ms

Accuracy

90.3% (1.4b remaining)

Error of 6.9b against oracle of 5.5b and baseline of 19.5b

bsearch290.0ms

Steps
ItersRangePoint
10
4.0721326822252617e+40
3.6590220876252264e+50
3.628799960716312e+50
7
-9.685109581380507e+154
-1.5171851739610474e+153
-1.290694061730984e+154

simplify5.0ms

Iterations
IterNodes
done50
150
043

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.7s8698×body80valid
329.0ms2819×body80nan