Details

Time bar (total: 12.4s)

sample315.0ms

Algorithm
intervals
Results
96.0ms111×body320valid
31.0ms224×body80nan
29.0ms480×pre80true
28.0ms108×body160valid
8.0ms14×body640valid
3.0ms23×body80valid

simplify156.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma b b (* (* a -4) c))
0.0b
(sqrt (fma b b (* (* a -4) c)))
0.1b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
29.7b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite47.0ms

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)))
29.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
10.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series499.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(fma b b (* (* a -4) c))
110.0ms
(sqrt (fma b b (* (* a -4) c)))
160.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
158.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify790.0ms

Counts
126 → 126
Iterations
IterNodes
done2000
21008
1423
0180

prune633.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.3b

localize13.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune32.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.3b

localize35.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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:
9.0ms
(/ (* a c) b)
19.0ms
(/ (* -2 (/ (* a c) b)) a)

series48.0ms

Counts
2 → 6
Calls
2 calls:
21.0ms
(/ (* a c) b)
27.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify699.0ms

Counts
59 → 59
Iterations
IterNodes
done2002
21285
1282
0103

prune330.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 2.3b

localize19.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* (* -2 (/ (* a c) b)) (/ 1 a))

rewrite111.0ms

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
pow1
rec-exp 1-exp
associate-/r* pow-prod-down associate-*r/
expm1-log1p-u insert-posit16 log1p-expm1-u div-inv add-log-exp
frac-times clear-num frac-2neg associate-*l* associate-*l/ un-div-inv *-commutative associate-/l*
Counts
2 → 79
Calls
2 calls:
19.0ms
(/ (* a c) b)
89.0ms
(* (* -2 (/ (* a c) b)) (/ 1 a))

series48.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
27.0ms
(* (* -2 (/ (* a c) b)) (/ 1 a))

simplify915.0ms

Counts
85 → 85
Iterations
IterNodes
done2004
21773
1429
0148

prune258.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 2.3b

regimes386.0ms

Accuracy

0% (3.5b remaining)

Error of 6.3b against oracle of 2.7b and baseline of 6.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample7.0s

Algorithm
intervals
Results
2.2s3539×body320valid
1.6s16221×pre80true
1.2s8221×body80nan
1.1s3053×body160valid
261.0ms485×body640valid
122.0ms923×body80valid