Details

Time bar (total: 11.5s)

sample162.0ms

Algorithm
intervals
Results
42.0ms285×body80nan
29.0ms111×body320valid
23.0ms541×pre80true
17.0ms98×body160valid
6.0ms17×body640valid
3.0ms30×body80valid

simplify83.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01217
12117
24116
37616
49616
510416
done10416

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 52.1b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
0.2b
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
0.3b
(* (* 3.0 a) c)
27.0b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite290.0ms

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-cbrt-cube add-exp-log
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/
clear-num frac-2neg flip3-- flip--
sub-neg diff-log associate-*l* *-commutative
Counts
4 → 182
Calls
4 calls:
91.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
119.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
34.0ms
(* (* 3.0 a) c)
32.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series460.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0)
153.0ms
(/ (/ (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) 3.0) a)
26.0ms
(* (* 3.0 a) c)
151.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify1.4s

Counts
194 → 194
Iterations

Useful iterations: 2 (638.0ms)

IterNodesCost
02874775
17114627
233504429
done50004429

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.8b

localize10.0ms

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

prune51.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.8b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
21×add-cbrt-cube add-exp-log
cbrt-undiv div-exp
add-sqr-sqrt associate-/r* *-un-lft-identity times-frac add-cube-cbrt
prod-exp cbrt-unprod
pow1 clear-num frac-2neg div-inv associate-/l* add-log-exp
associate-*r/ associate-/l/
Counts
2 → 47
Calls
2 calls:
7.0ms
(/ (* a c) b)
17.0ms
(/ (* -0.5 (/ (* a c) b)) a)

series49.0ms

Counts
2 → 6
Calls
2 calls:
22.0ms
(/ (* a c) b)
28.0ms
(/ (* -0.5 (/ (* a c) b)) a)

simplify751.0ms

Counts
53 → 53
Iterations

Useful iterations: done (749.0ms)

IterNodesCost
097568
1278547
21897449
done5000435

prune248.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 2.8b

localize23.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* -0.5 (* (* a c) (/ 1 b))) a)
0.3b
(* (* a c) (/ 1 b))

rewrite88.0ms

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
pow1
rec-exp 1-exp associate-*r/
associate-/r* pow-prod-down
un-div-inv div-inv add-log-exp associate-/l/
clear-num frac-2neg associate-*l* *-commutative associate-/l*
Counts
2 → 73
Calls
2 calls:
54.0ms
(/ (* -0.5 (* (* a c) (/ 1 b))) a)
31.0ms
(* (* a c) (/ 1 b))

series61.0ms

Counts
2 → 6
Calls
2 calls:
23.0ms
(/ (* -0.5 (* (* a c) (/ 1 b))) a)
38.0ms
(* (* a c) (/ 1 b))

simplify1.7s

Counts
79 → 79
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01491029
1475918
23258647
done5000633

prune187.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.8b

regimes539.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
055
165
done65

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.1s8160×body80nan
846.0ms16160×pre80true
837.0ms3689×body320valid
457.0ms2882×body160valid
189.0ms533×body640valid
59.0ms896×body80valid