Details

Time bar (total: 11.1s)

sample134.0ms

Algorithm
intervals
Results
43.0ms175×body160valid
21.0ms289×body80nan
19.0ms545×pre80true
6.0ms29×body320valid
4.0ms52×body80valid

simplify147.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
01217
12117
24116
37616
49616
510416
done10416

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 42.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
0.2b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
0.2b
(* (* 3.0 a) c)
38.7b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
156×times-frac
147×add-sqr-sqrt
113×*-un-lft-identity
79×add-cube-cbrt
34×difference-of-squares
28×associate-/l*
17×sqrt-prod distribute-lft-out--
16×add-exp-log add-cbrt-cube
pow1
associate-/r* div-inv add-log-exp
cbrt-undiv div-exp
div-sub associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l/
flip3-- frac-2neg clear-num flip--
sub-neg diff-log associate-*l* *-commutative
Counts
4 → 182
Calls
4 calls:
109.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
111.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
20.0ms
(* (* 3.0 a) c)
66.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series474.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
131.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
22.0ms
(* (* 3.0 a) c)
155.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify2.0s

Counts
194 → 194
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02874775
17104627
233334429
done50004425

prune884.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 6.0b

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

prune81.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 6.0b

localize20.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ (* -0.5 (/ (* a c) b)) a)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log add-cbrt-cube
cbrt-undiv div-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
prod-exp cbrt-unprod
pow1 frac-2neg clear-num div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 47
Calls
2 calls:
19.0ms
(/ (* a c) b)
36.0ms
(/ (* -0.5 (/ (* a c) b)) a)

series61.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (* a c) b)
27.0ms
(/ (* -0.5 (/ (* a c) b)) a)

simplify1.1s

Counts
53 → 53
Iterations

Useful iterations: done (1.1s)

IterNodesCost
097568
1278547
21931449
done5000435

prune190.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ a (/ b c))
0.3b
(/ (* -0.5 (/ a (/ b c))) a)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×add-exp-log add-cbrt-cube
16×associate-/r*
10×cbrt-undiv div-exp
div-inv
associate-/l*
prod-exp cbrt-unprod
pow1 frac-2neg clear-num add-log-exp
associate-*r/ associate-/r/ associate-/l/
Counts
2 → 96
Calls
2 calls:
11.0ms
(/ a (/ b c))
20.0ms
(/ (* -0.5 (/ a (/ b c))) a)

series53.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ a (/ b c))
24.0ms
(/ (* -0.5 (/ a (/ b c))) a)

simplify1.2s

Counts
102 → 102
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01961264
15291199
229551073
done50001071

prune313.0ms

Pruning

38 alts after pruning (37 fresh and 1 done)

Merged error: 5.9b

regimes913.0ms

Accuracy

0% (6.9b remaining)

Error of 12.0b against oracle of 5.1b and baseline of 12.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample3.1s

Algorithm
intervals
Results
658.0ms15980×pre80true
550.0ms4834×body160valid
534.0ms1801×body80valid
508.0ms7980×body80nan
226.0ms1365×body320valid