Details

Time bar (total: 12.5s)

sample125.0ms

Algorithm
intervals
Results
26.0ms147×body160valid
26.0ms288×body80nan
21.0ms544×pre80true
10.0ms109×body80valid

simplify94.0ms

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

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 29.4b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

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:
9.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
97.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
7.0ms
(- (* b b) (* (* 4.0 c) a))
67.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

series422.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(sqrt (- (* b b) (* (* 4.0 c) a)))
137.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 c) a))) b) a)
65.0ms
(- (* b b) (* (* 4.0 c) a))
106.0ms
(- (sqrt (- (* b b) (* (* 4.0 c) a))) b)

simplify2.5s

Counts
130 → 130
Iterations
IterNodes
done5000
22182
1509
0198

prune804.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 9.5b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune95.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 9.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (* -2.0 (/ (* a c) b)) a)

rewrite25.0ms

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:
8.0ms
(/ (* a c) b)
15.0ms
(/ (* -2.0 (/ (* a c) b)) a)

series49.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
27.0ms
(/ (* -2.0 (/ (* a c) b)) a)

simplify1.2s

Counts
57 → 57
Iterations
IterNodes
done5000
21941
1281
0101

prune428.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 9.4b

localize18.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.4b
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

rewrite83.0ms

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 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 → 77
Calls
2 calls:
11.0ms
(/ (* a c) b)
67.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

series67.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (* a c) b)
34.0ms
(* (* -2.0 (/ (* a c) b)) (/ 1 a))

simplify2.1s

Counts
83 → 83
Iterations
IterNodes
done5001
23258
1466
0146

prune233.0ms

Pruning

35 alts after pruning (35 fresh and 0 done)

Merged error: 9.4b

regimes890.0ms

Accuracy

47% (7.4b remaining)

Error of 16.4b against oracle of 8.9b and baseline of 23.0b

bsearch20.0ms

Steps
ItersRangePoint
1
825.8857943049597
863.2800776740891
835.234365147242

simplify5.0ms

Iterations
IterNodes
done33
133
027

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.3s4406×body160valid
612.0ms8521×body80nan
479.0ms16521×pre80true
351.0ms3594×body80valid