Details

Time bar (total: 13.7s)

sample123.0ms

Algorithm
intervals
Results
26.0ms151×body160valid
23.0ms277×body80nan
20.0ms533×pre80true
12.0ms48×body320valid
5.0ms57×body80valid

simplify102.0ms

Counts
1 → 1
Iterations
IterNodes
done111
5111
4102
378
244
124
014

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 42.6b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* c a) 4.0)))
0.1b
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
0.2b
(- (* b b) (* (* c a) 4.0))
37.2b
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
121×add-sqr-sqrt
94×*-un-lft-identity
68×add-cube-cbrt
26×difference-of-squares
22×associate-/l*
16×sqrt-prod
13×distribute-lft-out--
9×add-cbrt-cube add-exp-log
8×add-log-exp
5×pow1 div-inv
3×cbrt-undiv associate-/r* flip3-- div-exp flip--
2×sub-neg sqrt-div diff-log div-sub
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 associate-/l/
Counts
4 → 149
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
79.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
12.0ms
(- (* b b) (* (* c a) 4.0))
68.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

series468.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(sqrt (- (* b b) (* (* c a) 4.0)))
152.0ms
(/ (/ (- (sqrt (- (* b b) (* (* c a) 4.0))) b) 2.0) a)
75.0ms
(- (* b b) (* (* c a) 4.0))
132.0ms
(- (sqrt (- (* b b) (* (* c a) 4.0))) b)

simplify1.9s

Counts
161 → 161
Iterations
IterNodes
done5001
23070
1693
0280

prune927.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 5.4b

localize7.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune103.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 5.4b

localize23.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-cbrt-cube add-exp-log
20×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
13×cbrt-undiv div-exp
8×associate-/l*
6×associate-/r* div-inv
5×prod-exp cbrt-unprod
2×pow1 clear-num frac-2neg add-log-exp
1×associate-/l/
Counts
2 → 73
Calls
2 calls:
7.0ms
(/ (* a c) b)
25.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

series75.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (* a c) b)
40.0ms
(/ (/ (* -2.0 (/ (* a c) b)) 2.0) a)

simplify1.4s

Counts
79 → 79
Iterations
IterNodes
done5002
22917
1460
0167

prune495.0ms

Pruning

29 alts after pruning (28 fresh and 1 done)

Merged error: 5.4b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
79×add-exp-log
47×add-cbrt-cube
42×times-frac
33×prod-exp
29×div-exp
25×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
17×cbrt-undiv cbrt-unprod
13×associate-*r*
7×pow1 associate-/l*
6×div-inv
4×rec-exp 1-exp
3×associate-/r* pow-prod-down
2×add-log-exp
1×clear-num frac-2neg associate-*l* associate-*r/ un-div-inv *-commutative associate-/l/
Counts
2 → 98
Calls
2 calls:
46.0ms
(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
18.0ms
(* (* a c) (/ 1 b))

series48.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (/ (* -2.0 (* (* a c) (/ 1 b))) 2.0) a)
22.0ms
(* (* a c) (/ 1 b))

simplify2.9s

Counts
104 → 104
Iterations
IterNodes
done5001
24661
1676
0226

prune459.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.4b

regimes849.0ms

Accuracy

11.3% (6.6b remaining)

Error of 11.7b against oracle of 5.1b and baseline of 12.6b

bsearch3.0ms

Steps
ItersRangePoint
0
1.1367127926867939e-06
1.150970403537976e-06
1.1438415981123848e-06

simplify5.0ms

Iterations
IterNodes
done33
133
025

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.1s4769×body160valid
693.0ms8186×body80nan
654.0ms16186×pre80true
341.0ms1336×body320valid
156.0ms1895×body80valid