Details

Time bar (total: 12.3s)

sample157.0ms

Algorithm
intervals
Results
35.0ms52×body80valid
33.0ms158×body160valid
25.0ms261×body80nan
23.0ms517×pre80true
17.0ms46×body320valid

simplify86.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.1b

localize19.0ms

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)
40.7b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite39.0ms

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))
3.0ms
(sqrt (fma b b (* (* a -4) c)))
25.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
8.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series428.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(fma b b (* (* a -4) c))
114.0ms
(sqrt (fma b b (* (* a -4) c)))
131.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
125.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify875.0ms

Counts
126 → 126
Iterations
IterNodes
done2000
32000
21008
1423
0180

prune567.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.0b

localize16.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune68.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 5.0b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:
12.0ms
(/ (* a c) b)
31.0ms
(/ (* -2 (/ (* a c) b)) a)

series45.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* a c) b)
24.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.1s

Counts
59 → 59
Iterations
IterNodes
done2014
32014
21285
1282
0103

prune391.0ms

Pruning

28 alts after pruning (27 fresh and 1 done)

Merged error: 4.9b

localize17.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.4b
(* (* -2 (/ (* a c) b)) (/ 1 a))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
39×add-cbrt-cube
33×prod-exp
18×div-exp
17×cbrt-unprod
13×associate-*r*
12×times-frac
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
10×cbrt-undiv
7×pow1
4×rec-exp 1-exp
3×associate-/r* pow-prod-down associate-*r/
2×expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
1×frac-times clear-num frac-2neg associate-*l* associate-*l/ un-div-inv *-commutative associate-/l*
Counts
2 → 79
Calls
2 calls:
18.0ms
(/ (* a c) b)
67.0ms
(* (* -2 (/ (* a c) b)) (/ 1 a))

series48.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ (* a c) b)
24.0ms
(* (* -2 (/ (* a c) b)) (/ 1 a))

simplify1.4s

Counts
85 → 85
Iterations
IterNodes
done2004
32004
21773
1429
0148

prune372.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 4.9b

regimes548.0ms

Accuracy

11.9% (6.2b remaining)

Error of 11.2b against oracle of 5.0b and baseline of 12.0b

bsearch24.0ms

Steps
ItersRangePoint
1
0.022487330640104677
0.02349928003036842
0.02274031798767061

simplify10.0ms

Iterations
IterNodes
done29
129
024

end0.0ms

sample5.9s

Algorithm
intervals
Results
1.9s4826×body160valid
1.6s8318×body80nan
991.0ms16318×pre80true
629.0ms1380×body320valid
255.0ms1794×body80valid