Details

Time bar (total: 17.6s)

sample78.0ms

Algorithm
intervals
Results
35.0ms283×body80valid
10.0ms79×body80nan

simplify160.0ms

Counts
1 → 1
Iterations
IterNodes
done176
6176
5174
4161
3122
266
136
020

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize164.0ms

Local error

Found 4 expressions with local error:

1.3b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.6b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
24.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
60×prod-diff
58×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
37×sqrt-prod
26×distribute-rgt-neg-in
24×distribute-lft-neg-in
12×add-log-exp
10×fma-def fma-neg
8×neg-mul-1
6×pow1
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log log1p-expm1-u
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sum-log 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 → 151
Calls
4 calls:
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
45.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series465.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
112.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
113.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
107.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.7s

Counts
163 → 163
Iterations
IterNodes
done5001
21833
1440
0179

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.7b

localize146.0ms

Local error

Found 4 expressions with local error:

1.3b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.8b
(/ (* 2.0 c) (- (- b) (fma 2.0 (- (/ c (/ b a))) b)))
4.7b
(/ c (/ b a))
24.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
64×*-un-lft-identity
57×add-sqr-sqrt
52×add-cube-cbrt
19×associate-/r*
14×add-cbrt-cube add-exp-log
10×fma-def
8×add-log-exp
6×distribute-rgt-neg-in div-inv
5×pow1 cbrt-undiv div-exp
4×expm1-log1p-u log1p-expm1-u associate-/l* distribute-lft-out--
3×distribute-lft-neg-in associate-/r/ sqrt-prod
2×clear-num sum-log frac-2neg flip3-- sqrt-div flip-- distribute-lft-out difference-of-squares
1×neg-sub0 +-commutative rem-sqrt-square neg-mul-1 sqrt-pow1 flip3-+ pow1/2 neg-log prod-exp associate-+l- cbrt-unprod flip-+
Counts
4 → 147
Calls
4 calls:
20.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.0ms
(/ (* 2.0 c) (- (- b) (fma 2.0 (- (/ c (/ b a))) b)))
9.0ms
(/ c (/ b a))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series532.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
275.0ms
(/ (* 2.0 c) (- (- b) (fma 2.0 (- (/ c (/ b a))) b)))
34.0ms
(/ c (/ b a))
91.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.9s

Counts
159 → 159
Iterations
IterNodes
done5000
23797
1771
0292

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 3.7b

localize165.0ms

Local error

Found 4 expressions with local error:

1.8b
(/ (* 2.0 c) (- (- b) (fma 2.0 (- (/ c (/ b a))) b)))
2.2b
(/ (+ (- b) (fma (/ a (/ b c)) 2.0 (- b))) (* 2.0 a))
4.7b
(/ c (/ b a))
5.9b
(/ a (/ b c))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
161×times-frac
108×*-un-lft-identity
96×add-sqr-sqrt
92×add-cube-cbrt
33×associate-/r*
24×add-cbrt-cube add-exp-log
12×div-inv associate-/l*
10×cbrt-undiv div-exp
4×expm1-log1p-u pow1 clear-num distribute-rgt-neg-in frac-2neg associate-/r/ log1p-expm1-u distribute-lft-out distribute-lft-out-- add-log-exp
2×prod-exp cbrt-unprod difference-of-squares associate-/l/
1×neg-sub0 flip3-+ flip3-- div-sub associate-+l- flip-+ flip--
Counts
4 → 205
Calls
4 calls:
28.0ms
(/ (* 2.0 c) (- (- b) (fma 2.0 (- (/ c (/ b a))) b)))
45.0ms
(/ (+ (- b) (fma (/ a (/ b c)) 2.0 (- b))) (* 2.0 a))
14.0ms
(/ c (/ b a))
13.0ms
(/ a (/ b c))

series391.0ms

Counts
4 → 12
Calls
4 calls:
242.0ms
(/ (* 2.0 c) (- (- b) (fma 2.0 (- (/ c (/ b a))) b)))
86.0ms
(/ (+ (- b) (fma (/ a (/ b c)) 2.0 (- b))) (* 2.0 a))
30.0ms
(/ c (/ b a))
34.0ms
(/ a (/ b c))

simplify663.0ms

Counts
217 → 217
Iterations
IterNodes
done5001
11054
0393

prune1.9s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize155.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 2.0 (- (/ c (/ b a))) b)
0.0b
(- (/ c b) (/ b a))
1.8b
(/ (* 2.0 c) (- (- b) (fma 2.0 (- (/ c (/ b a))) b)))
4.7b
(/ c (/ b a))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
253×add-sqr-sqrt
251×*-un-lft-identity
237×add-cube-cbrt
169×prod-diff
33×div-inv
19×associate-/r*
14×add-cbrt-cube add-exp-log
13×fma-neg
6×distribute-lft-out-- add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×expm1-log1p-u pow1 log1p-expm1-u associate-/l*
3×associate-/r/
2×clear-num distribute-rgt-neg-in frac-2neg flip3-- flip--
1×sub-neg diff-log prod-exp frac-sub cbrt-unprod fma-udef
Counts
4 → 316
Calls
4 calls:
1.0ms
(fma 2.0 (- (/ c (/ b a))) b)
56.0ms
(- (/ c b) (/ b a))
40.0ms
(/ (* 2.0 c) (- (- b) (fma 2.0 (- (/ c (/ b a))) b)))
7.0ms
(/ c (/ b a))

series399.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(fma 2.0 (- (/ c (/ b a))) b)
43.0ms
(- (/ c b) (/ b a))
281.0ms
(/ (* 2.0 c) (- (- b) (fma 2.0 (- (/ c (/ b a))) b)))
24.0ms
(/ c (/ b a))

simplify505.0ms

Counts
328 → 328
Iterations
IterNodes
done5001
11203
0494

prune2.1s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.4b

regimes426.0ms

Accuracy

91.3% (1.4b remaining)

Error of 6.5b against oracle of 5.1b and baseline of 21.8b

bsearch364.0ms

Steps
ItersRangePoint
9
2.1340360609407003e+79
6.102484722804822e+84
2.6205431397402643e+84
9
-3.845605078781637e+76
-1.2146338677939432e+68
-7.943482039519134e+75

simplify26.0ms

Iterations
IterNodes
done60
160
051

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.6s8696×body80valid
347.0ms2886×body80nan