Details

Time bar (total: 10.5s)

sample142.0ms

Algorithm
intervals
Results
42.0ms146×body160valid
33.0ms281×body80nan
28.0ms537×pre80true
14.0ms110×body80valid

simplify150.0ms

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 28.9b

localize25.0ms

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)
28.9b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite32.0ms

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
add-cbrt-cube fma-neg add-exp-log associate-/l* add-log-exp
pow1 distribute-lft-out--
expm1-log1p-u insert-posit16 log1p-expm1-u
associate-/r*
flip3-- flip-- associate-/l/
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))
2.0ms
(sqrt (fma b b (* (* a -4) c)))
19.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
8.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series494.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(fma b b (* (* a -4) c))
97.0ms
(sqrt (fma b b (* (* a -4) c)))
161.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
153.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify751.0ms

Counts
126 → 126
Iterations
IterNodes
done2000
21008
1423
0180

prune727.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 8.4b

localize8.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune120.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 8.4b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 53
Calls
2 calls:
35.0ms
(/ (* -2 (/ (* a c) b)) a)
9.0ms
(/ (* a c) b)

series51.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* -2 (/ (* a c) b)) a)
29.0ms
(/ (* a c) b)

simplify754.0ms

Counts
59 → 59
Iterations
IterNodes
done2051
21421
1280
0103

prune339.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 8.2b

localize19.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
0.3b
(/ (* a c) (sqrt b))
0.4b
(/ (/ (* a c) (sqrt b)) (sqrt b))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
60×sqrt-prod
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
37×add-cbrt-cube add-exp-log
17×cbrt-undiv div-exp
15×associate-/r*
12×associate-/l*
10×div-inv
prod-exp cbrt-unprod
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
associate-/l/
associate-*r/
Counts
3 → 157
Calls
3 calls:
20.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
15.0ms
(/ (* a c) (sqrt b))
13.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

series177.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (* -2 (/ (/ (* a c) (sqrt b)) (sqrt b))) a)
75.0ms
(/ (* a c) (sqrt b))
47.0ms
(/ (/ (* a c) (sqrt b)) (sqrt b))

simplify455.0ms

Counts
166 → 166
Iterations
IterNodes
done2000
1648
0242

prune479.0ms

Pruning

36 alts after pruning (35 fresh and 1 done)

Merged error: 8.2b

regimes648.0ms

Accuracy

46.9% (7.5b remaining)

Error of 16.3b against oracle of 8.8b and baseline of 22.9b

bsearch42.0ms

Steps
ItersRangePoint
3
1917.9681010718273
2334.6495375971285
1935.0528928047481

simplify5.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.6s4407×body160valid
1.1s8610×body80nan
1.1s16610×pre80true
526.0ms3593×body80valid