Details

Time bar (total: 17.1s)

sample125.0ms

Algorithm
intervals
Results
11.0ms32×body2560valid
11.0ms187×body80valid
7.0ms32×body1280valid
5.0ms94×body80nan
2.0ms14×body640valid
2.0ms3×body5120valid
1.0ms6×body320valid
1.0ms6×body160valid

simplify151.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.3b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
0.8b
(- (* b_2 b_2) (* a c))
1.4b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
23.4b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite242.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
21×times-frac
17×add-cube-cbrt
10×distribute-lft-out-- add-log-exp difference-of-squares
8×sqrt-prod
7×associate-/l*
6×add-exp-log add-cbrt-cube
5×pow1 distribute-rgt-neg-in
4×flip3-- flip--
3×diff-log associate-/r*
2×sub-neg sqrt-div associate-/l/
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log clear-num div-inv
Counts
4 → 91
Calls
4 calls:
124.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
19.0ms
(- (* b_2 b_2) (* a c))
35.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
57.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
42.0ms
(- (* b_2 b_2) (* a c))
83.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
117.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify1.9s

Counts
103 → 103

prune366.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.3b

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* b_2 b_2) (* c a))
2.5b
(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* c a))) b_2)) a)
10.6b
(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* c a))) b_2))
23.4b
(sqrt (- (* b_2 b_2) (* c a)))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
146×add-sqr-sqrt
113×*-un-lft-identity
81×add-cube-cbrt
32×difference-of-squares
27×associate-/l*
19×sqrt-prod
16×distribute-lft-out--
11×add-exp-log add-cbrt-cube
10×associate-/r/
9×associate-/r*
7×flip3-- flip--
6×div-inv add-log-exp
5×pow1
4×cbrt-undiv div-exp
3×associate-/l/
2×frac-2neg sqrt-div clear-num
1×sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 diff-log flip-+
Counts
4 → 184
Calls
4 calls:
10.0ms
(- (* b_2 b_2) (* c a))
116.0ms
(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* c a))) b_2)) a)
83.0ms
(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* c a))) b_2))
9.0ms
(sqrt (- (* b_2 b_2) (* c a)))

series628.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (* b_2 b_2) (* c a))
213.0ms
(/ (/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* c a))) b_2)) a)
296.0ms
(/ (+ 0 (* a c)) (- (sqrt (- (* b_2 b_2) (* c a))) b_2))
80.0ms
(sqrt (- (* b_2 b_2) (* c a)))

simplify1.8s

Counts
196 → 196

prune699.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 6.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* b_2 b_2) (* c a))
2.5b
(/ a (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) c))
2.5b
(/ (* 1 (/ a (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) c))) a)
23.4b
(sqrt (- (* b_2 b_2) (* c a)))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
119×add-sqr-sqrt
94×*-un-lft-identity
70×add-cube-cbrt
32×add-exp-log
25×associate-/r*
24×difference-of-squares
23×add-cbrt-cube
16×div-exp
15×sqrt-prod
12×distribute-lft-out--
10×cbrt-undiv
6×prod-exp div-inv add-log-exp
5×pow1
4×associate-/l*
3×1-exp cbrt-unprod
2×flip3-- frac-2neg sqrt-div clear-num flip--
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log associate-*r/ associate-/r/ associate-/l/
Counts
4 → 162
Calls
4 calls:
8.0ms
(- (* b_2 b_2) (* c a))
66.0ms
(/ a (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) c))
48.0ms
(/ (* 1 (/ a (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) c))) a)
9.0ms
(sqrt (- (* b_2 b_2) (* c a)))

series589.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(- (* b_2 b_2) (* c a))
256.0ms
(/ a (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) c))
190.0ms
(/ (* 1 (/ a (/ (- (sqrt (- (* b_2 b_2) (* c a))) b_2) c))) a)
90.0ms
(sqrt (- (* b_2 b_2) (* c a)))

simplify1.5s

Counts
174 → 174

prune685.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
0.8b
(- (* b_2 b_2) (* c a))
14.6b
(/ a (* a c))
23.4b
(sqrt (- (* b_2 b_2) (* c a)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
9×add-exp-log *-un-lft-identity add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
5×pow1
4×sqrt-prod
3×flip3-- times-frac flip-- associate-/l*
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp difference-of-squares
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 prod-exp clear-num associate-/r* cbrt-unprod div-inv distribute-lft-out--
Counts
4 → 63
Calls
4 calls:
71.0ms
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
16.0ms
(- (* b_2 b_2) (* c a))
17.0ms
(/ a (* a c))
20.0ms
(sqrt (- (* b_2 b_2) (* c a)))

series272.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(- (sqrt (- (* b_2 b_2) (* c a))) b_2)
64.0ms
(- (* b_2 b_2) (* c a))
13.0ms
(/ a (* a c))
97.0ms
(sqrt (- (* b_2 b_2) (* c a)))

simplify2.1s

Counts
75 → 75

prune282.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 6.2b

regimes375.0ms

Accuracy

91.1% (2.4b remaining)

Error of 7.8b against oracle of 5.4b and baseline of 32.0b

bsearch180.0ms

Steps
ItersRangePoint
10
1.1938117014962488e+94
7.783906932586822e+104
6.073987741152761e+104
6
-6.811146580735316e-291
-1.4054369994792086e-291
-1.4198976116286109e-291
5
-986703.3404809777
-447673.70935774763
-977083.9042033921

simplify1.1s

end0.0ms

sample3.1s

Algorithm
intervals
Results
883.0ms895×body1280valid
650.0ms5864×body80valid
457.0ms1075×body2560valid
274.0ms2856×body80nan
113.0ms443×body640valid
97.0ms107×body5120valid
41.0ms233×body320valid
15.0ms119×body160valid