Details

Time bar (total: 15.3s)

sample184.0ms

Algorithm
intervals
Results
45.0ms156×body160valid
40.0ms299×body80nan
34.0ms555×pre80true
30.0ms49×body320valid
8.0ms51×body80valid

simplify103.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 44.4b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4)))
0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.2b
(- (* b b) (* (* c a) 4))
39.5b
(- (sqrt (- (* b b) (* (* c a) 4))) b)

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
26×*-un-lft-identity
18×times-frac
16×add-cube-cbrt
10×difference-of-squares
8×sqrt-prod add-log-exp
6×add-cbrt-cube add-exp-log associate-/l*
5×pow1 distribute-lft-out--
4×flip3-- insert-posit16 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 → 88
Calls
4 calls:
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))
69.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
15.0ms
(- (* b b) (* (* c a) 4))
64.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

series414.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (- (* b b) (* (* c a) 4)))
141.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
62.0ms
(- (* b b) (* (* c a) 4))
112.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)

simplify1.7s

Counts
100 → 100
Iterations
IterNodes
33590
21095
1398
0161

prune945.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.5b

localize17.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
10
00

prune77.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.5b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

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×pow1 clear-num frac-2neg insert-posit16 div-inv associate-/l* add-log-exp
1×associate-*r/ associate-/l/
Counts
2 → 49
Calls
2 calls:
12.0ms
(/ (* a c) b)
19.0ms
(/ (* -2 (/ (* a c) b)) a)

series53.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a c) b)
30.0ms
(/ (* -2 (/ (* a c) b)) a)

simplify3.1s

Counts
55 → 55
Iterations
IterNodes
36821
21066
1263
099

prune388.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.4b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
60×sqrt-prod
52×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
42×add-cbrt-cube add-exp-log
19×cbrt-undiv div-exp
15×associate-/r*
12×associate-/l*
10×div-inv
9×prod-exp cbrt-unprod
3×pow1 clear-num frac-2neg insert-posit16 add-log-exp
2×associate-/l/
1×associate-*r/
Counts
3 → 153
Calls
3 calls:
17.0ms
(/ (* a c) b)
19.0ms
(/ (/ (* -2 (/ (* a c) b)) (sqrt a)) (sqrt a))
19.0ms
(/ (* -2 (/ (* a c) b)) (sqrt a))

series235.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(/ (* a c) b)
75.0ms
(/ (/ (* -2 (/ (* a c) b)) (sqrt a)) (sqrt a))
127.0ms
(/ (* -2 (/ (* a c) b)) (sqrt a))

simplify895.0ms

Counts
162 → 162
Iterations
IterNodes
22125
1646
0248

prune1.1s

Pruning

35 alts after pruning (34 fresh and 1 done)

Merged error: 5.4b

regimes830.0ms

Accuracy

9% (6.2b remaining)

Error of 11.2b against oracle of 5.0b and baseline of 11.8b

bsearch37.0ms

Steps
ItersRangePoint
2
0.11906653961437699
0.12902613394488163
0.12005985553413497

simplify11.0ms

Iterations
IterNodes
235
135
026

end0.0ms

sample4.9s

Algorithm
intervals
Results
1.3s4836×body160valid
1.3s16328×pre80true
1.1s8328×body80nan
569.0ms1384×body320valid
205.0ms1780×body80valid