Details

Time bar (total: 12.6s)

sample185.0ms

Algorithm
intervals
Results
52.0ms25×body640valid
19.0ms108×body320valid
16.0ms267×body80nan
14.0ms523×pre80true
13.0ms96×body160valid
1.0ms27×body80valid

simplify92.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01417
12417
24416
37916
49916
510716
done10716

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.7b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
25.8b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
add-exp-log add-cbrt-cube
add-log-exp
add-cube-cbrt
times-frac sqrt-prod associate-/l* difference-of-squares
pow1
flip3-- flip--
distribute-lft-out--
cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
19.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms
(- (* b b) (* (* 4.0 a) c))
119.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
95.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

series479.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
79.0ms
(- (* b b) (* (* 4.0 a) c))
174.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (* 2.0 a))
132.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)

simplify1.1s

Counts
84 → 84
Iterations

Useful iterations: 2 (304.0ms)

IterNodesCost
01541592
14051496
217831332
done50021332

prune396.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.6b

localize9.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
done00

prune49.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.6b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
14×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 51
Calls
2 calls:
10.0ms
(/ (* a c) b)
30.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

series64.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* a c) b)
41.0ms
(/ (* -2.0 (/ (* a c) b)) (* 2.0 a))

simplify1.3s

Counts
57 → 57
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0107782
1345751
22490569
done5001543

prune196.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.6b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (* -2.0 (* 1 (/ (* a c) b))) (* 2.0 a))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
52×add-cbrt-cube
39×prod-exp
26×div-exp
22×cbrt-unprod
16×cbrt-undiv
1-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
pow1 frac-2neg associate-*r/ clear-num div-inv associate-/l* add-log-exp
associate-/l/
Counts
2 → 61
Calls
2 calls:
10.0ms
(/ (* a c) b)
94.0ms
(/ (* -2.0 (* 1 (/ (* a c) b))) (* 2.0 a))

series55.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (* a c) b)
25.0ms
(/ (* -2.0 (* 1 (/ (* a c) b))) (* 2.0 a))

simplify2.7s

Counts
67 → 67
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01391102
1484929
24148707
done5000677

prune123.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 2.6b

regimes272.0ms

Accuracy

0% (3.4b remaining)

Error of 6.0b against oracle of 2.6b and baseline of 6.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample5.1s

Algorithm
intervals
Results
1.6s3658×body320valid
1.3s16320×pre80true
656.0ms8320×body80nan
485.0ms2954×body160valid
196.0ms515×body640valid
97.0ms873×body80valid