Details

Time bar (total: 12.8s)

sample90.0ms

Algorithm
intervals
Results
19.0ms157×body160valid
17.0ms99×body80valid
16.0ms256×body80nan
14.0ms512×pre80true

simplify77.0ms

Counts
1 → 1
Iterations
IterNodes
done128
5128
4119
386
246
125
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 c) a)))
0.2b
(- (* b b) (* (* 4.0 c) a))
0.3b
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
29.2b
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
40×*-un-lft-identity
30×add-cube-cbrt
20×sqrt-prod
19×prod-diff
18×times-frac
10×difference-of-squares
8×add-log-exp
7×fma-neg
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×expm1-log1p-u flip3-- log1p-expm1-u flip--
3×associate-/r*
2×sub-neg sqrt-div diff-log associate-/l/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp div-inv
Counts
4 → 118
Calls
4 calls:
16.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
12.0ms
(- (* b b) (* (* 4.0 c) a))
119.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
61.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series358.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
55.0ms
(- (* b b) (* (* 4.0 c) a))
123.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
106.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify2.4s

Counts
130 → 130
Iterations
IterNodes
done5000
22179
1509
0198

prune756.0ms

Pruning

23 alts after pruning (23 fresh and 0 done)

Merged error: 9.9b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune147.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 9.9b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (* -2.0 (/ (* a c) b)) a)

rewrite36.0ms

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 log1p-expm1-u div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
14.0ms
(/ (* a c) b)
20.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series62.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* a c) b)
32.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify1.1s

Counts
57 → 57
Iterations
IterNodes
done5000
21941
1281
0101

prune533.0ms

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 9.8b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ a (/ b c))
0.3b
(/ (* -2.0 (/ a (/ b c))) a)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×add-cbrt-cube add-exp-log
16×associate-/r*
10×cbrt-undiv div-exp
6×div-inv
4×associate-/l*
3×prod-exp cbrt-unprod
2×expm1-log1p-u pow1 clear-num frac-2neg log1p-expm1-u add-log-exp
1×associate-*r/ associate-/r/ associate-/l/
Counts
2 → 100
Calls
2 calls:
10.0ms
(/ a (/ b c))
14.0ms
(/ (* -2.0 (/ a (/ b c))) a)

series51.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ a (/ b c))
22.0ms
(/ (* -2.0 (/ a (/ b c))) a)

simplify1.5s

Counts
106 → 106
Iterations
IterNodes
done5002
22932
1533
0200

prune529.0ms

Pruning

39 alts after pruning (38 fresh and 1 done)

Merged error: 9.8b

regimes1.2s

Accuracy

45% (7.6b remaining)

Error of 16.6b against oracle of 9.0b and baseline of 22.8b

bsearch39.0ms

Steps
ItersRangePoint
2
242.57376402414687
277.0014588549693
245.56463469956407

simplify11.0ms

Iterations
IterNodes
done31
131
025

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.2s8732×body80nan
888.0ms4481×body160valid
629.0ms16732×pre80true
358.0ms3519×body80valid