Details

Time bar (total: 13.2s)

sample174.0ms

Algorithm
intervals
Results
43.0ms301×body80nan
41.0ms135×body160valid
37.0ms557×pre80true
24.0ms121×body80valid

simplify154.0ms

Counts
1 → 1
Iterations
IterNodes
done105
7105
6104
5102
494
377
244
125
014

prune361.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.3b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b b (* (* a -4) c))
0.1b
(sqrt (fma b b (* (* a -4) c)))
0.2b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
28.3b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
18×times-frac prod-diff
10×difference-of-squares
6×add-cbrt-cube fma-neg add-exp-log associate-/l* add-log-exp
5×pow1 distribute-lft-out--
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r*
2×flip3-- flip-- associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-sub div-exp fma-udef div-inv
Counts
4 → 114
Calls
4 calls:
0.0ms
(fma b b (* (* a -4) c))
1.0ms
(sqrt (fma b b (* (* a -4) c)))
20.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
14.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series470.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(fma b b (* (* a -4) c))
128.0ms
(sqrt (fma b b (* (* a -4) c)))
147.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
121.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify960.0ms

Counts
126 → 126
Iterations
IterNodes
done2000
32000
21008
1423
0180

prune611.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 8.6b

localize11.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune99.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* -2 (/ (* a c) b)) a)
0.3b
(/ (* a c) b)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
8×cbrt-undiv div-exp
6×add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
5×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
26.0ms
(/ (* -2 (/ (* a c) b)) a)
9.0ms
(/ (* a c) b)

series52.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* -2 (/ (* a c) b)) a)
31.0ms
(/ (* a c) b)

simplify1.1s

Counts
59 → 59
Iterations
IterNodes
done2051
32051
21421
1280
0103

prune379.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 8.4b

localize14.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ -2 (/ a (/ (* a c) b)))
0.3b
(/ a (/ (* a c) b))
0.3b
(/ (* a c) b)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
104×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
36×associate-/r*
31×add-cbrt-cube add-exp-log
23×div-inv
16×cbrt-undiv div-exp
7×associate-/l*
6×associate-/r/
3×expm1-log1p-u pow1 clear-num frac-2neg prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
Counts
3 → 204
Calls
3 calls:
19.0ms
(/ -2 (/ a (/ (* a c) b)))
12.0ms
(/ a (/ (* a c) b))
9.0ms
(/ (* a c) b)

series89.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ -2 (/ a (/ (* a c) b)))
17.0ms
(/ a (/ (* a c) b))
38.0ms
(/ (* a c) b)

simplify1.2s

Counts
213 → 213
Iterations
IterNodes
done2001
22001
1919
0328

prune976.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 8.4b

regimes957.0ms

Accuracy

47.4% (7.4b remaining)

Error of 16.2b against oracle of 8.9b and baseline of 22.9b

bsearch29.0ms

Steps
ItersRangePoint
2
2450.918963182764
2807.598712286329
2495.5039318207096

simplify5.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample5.3s

Algorithm
intervals
Results
1.5s4419×body160valid
1.3s8924×body80nan
1.1s16924×pre80true
569.0ms3581×body80valid