Details

Time bar (total: 13.1s)

sample411.0ms

Algorithm
intervals
Results
66.0ms88×body160valid
36.0ms131×body320valid
21.0ms482×pre80true
17.0ms226×body80nan
5.0ms17×body640valid
2.0ms20×body80valid

simplify176.0ms

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 55.1b

localize41.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fma b b (* (* a -4) c)))
0.1b
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
27.3b
(- (sqrt (fma b b (* (* a -4) c))) b)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
39×*-un-lft-identity
29×add-cube-cbrt
20×sqrt-prod
18×times-frac prod-diff
10×difference-of-squares
fma-neg associate-/l*
add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp
pow1
expm1-log1p-u associate-/r* insert-posit16 log1p-expm1-u
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 div-inv
Counts
3 → 103
Calls
3 calls:
3.0ms
(sqrt (fma b b (* (* a -4) c)))
56.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
24.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

series419.0ms

Counts
3 → 9
Calls
3 calls:
91.0ms
(sqrt (fma b b (* (* a -4) c)))
170.0ms
(/ (- (sqrt (fma b b (* (* a -4) c))) b) a)
158.0ms
(- (sqrt (fma b b (* (* a -4) c))) b)

simplify2.5s

Counts
112 → 112
Iterations
IterNodes
done5005
33255
2936
1407
0170

prune493.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.0b

localize18.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune70.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.0b

localize36.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

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:
21.0ms
(/ (* a c) b)
40.0ms
(/ (* -2 (/ (* a c) b)) a)

series51.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (* a c) b)
25.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify1.1s

Counts
59 → 59
Iterations
IterNodes
done5000
21285
1282
0103

prune283.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b
(log1p (/ (* a c) b))
0.3b
(/ (* a c) b)
0.3b
(expm1 (log1p (/ (* a c) b)))
0.3b
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
14×add-cbrt-cube add-exp-log
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/r* times-frac
expm1-log1p-u
pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u add-log-exp
clear-num frac-2neg prod-exp cbrt-unprod div-inv associate-/l*
log1p-udef expm1-log1p log1p-expm1 expm1-udef
Counts
4 → 72
Calls
4 calls:
1.0ms
(log1p (/ (* a c) b))
20.0ms
(/ (* a c) b)
1.0ms
(expm1 (log1p (/ (* a c) b)))
14.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)

series341.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(log1p (/ (* a c) b))
35.0ms
(/ (* a c) b)
113.0ms
(expm1 (log1p (/ (* a c) b)))
122.0ms
(/ (* -2 (expm1 (log1p (/ (* a c) b)))) a)

simplify1.2s

Counts
84 → 84
Iterations
IterNodes
done5001
21266
1335
0144

prune445.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.0b

regimes485.0ms

Accuracy

0% (3.3b remaining)

Error of 5.9b against oracle of 2.6b and baseline of 5.9b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample4.7s

Algorithm
intervals
Results
1.5s3636×body320valid
1.2s16128×pre80true
727.0ms8128×body80nan
622.0ms3006×body160valid
206.0ms482×body640valid
71.0ms876×body80valid