Details

Time bar (total: 16.0s)

sample96.0ms

Algorithm
intervals
Results
20.0ms204×body80valid
16.0ms29×body2560valid
13.0ms31×body1280valid
8.0ms106×body80nan
3.0ms9×body640valid
2.0ms9×body320valid
1.0ms2×body5120valid
0.0ms1×body160valid

simplify111.0ms

Counts
1 → 1
Iterations
IterNodes
done96
796
695
593
485
370
242
124
014

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
0.8b
(- (* b b) (* (* 4.0 a) c))
0.8b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite144.0ms

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-- 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 → 84
Calls
4 calls:
87.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
8.0ms
(- (* b b) (* (* 4.0 a) c))
39.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series424.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
70.0ms
(- (* b b) (* (* 4.0 a) c))
120.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
81.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.5s

Counts
96 → 96
Iterations
IterNodes
done5001
21142
1388
0158

prune682.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ a (- (sqrt (- (* b b) (* (* 4.0 a) c))) b))
0.8b
(- (* b b) (* (* 4.0 a) c))
0.8b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite103.0ms

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×associate-/r* add-cbrt-cube add-exp-log
5×pow1 distribute-lft-out--
4×flip3-- flip--
3×associate-/l*
2×sub-neg sqrt-div diff-log associate-/r/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 83
Calls
4 calls:
35.0ms
(/ a (- (sqrt (- (* b b) (* (* 4.0 a) c))) b))
7.0ms
(- (* b b) (* (* 4.0 a) c))
51.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series572.0ms

Counts
4 → 12
Calls
4 calls:
292.0ms
(/ a (- (sqrt (- (* b b) (* (* 4.0 a) c))) b))
55.0ms
(- (* b b) (* (* 4.0 a) c))
138.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
88.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.7s

Counts
95 → 95
Iterations
IterNodes
done5007
34048
21047
1347
0153

prune675.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.9b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (/ 1 a))
0.8b
(- (* b b) (* (* 4.0 a) c))
0.8b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite219.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
18×*-un-lft-identity
13×associate-*r* add-exp-log add-cube-cbrt
11×times-frac
9×add-cbrt-cube
8×add-log-exp
7×pow1
6×associate-*l*
5×flip3-- sqrt-prod flip--
4×prod-exp difference-of-squares
3×unswap-sqr
2×frac-times sub-neg sqrt-div diff-log div-exp associate-*l/ cbrt-unprod distribute-lft-out--
1×cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 85
Calls
4 calls:
147.0ms
(* (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (/ 1 a))
6.0ms
(- (* b b) (* (* 4.0 a) c))
57.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series436.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(* (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) (/ 1 a))
64.0ms
(- (* b b) (* (* 4.0 a) c))
144.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
86.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.4s

Counts
97 → 97
Iterations
IterNodes
done5002
21413
1453
0178

prune632.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.9b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
0.8b
(- (* b b) (* (* 4.0 a) c))
0.8b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite150.0ms

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-- 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 → 84
Calls
4 calls:
84.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
6.0ms
(- (* b b) (* (* 4.0 a) c))
44.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
11.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series435.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ (- (sqrt (- (* b b) (* (* 4.0 a) c))) b) a)
64.0ms
(- (* b b) (* (* 4.0 a) c))
124.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
109.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.3s

Counts
96 → 96
Iterations
IterNodes
done5001
21142
1388
0158

prune465.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.9b

regimes374.0ms

Accuracy

84.3% (4.5b remaining)

Error of 10.2b against oracle of 5.7b and baseline of 34.4b

bsearch172.0ms

Steps
ItersRangePoint
8
1.5119020269574885e-23
1.8921341643334238e-20
9.136492990928292e-23
6
-1.7989235910837076e+89
-1.4585470499056154e+88
-1.7633154797394035e+89

simplify10.0ms

Iterations
IterNodes
done34
134
029

end0.0ms

sample3.3s

Algorithm
intervals
Results
716.0ms5865×body80valid
704.0ms2875×body80nan
556.0ms1057×body2560valid
364.0ms902×body1280valid
135.0ms124×body5120valid
123.0ms434×body640valid
96.0ms224×body320valid
16.0ms112×body160valid