Details

Time bar (total: 22.0s)

sample115.0ms

Algorithm
intervals
Results
28.0ms36×body2560valid
24.0ms187×body80valid
17.0ms86×body80nan
15.0ms25×body1280valid
9.0ms17×body640valid
3.0ms8×body320valid
1.0ms4×body160valid

simplify127.0ms

Counts
1 → 1
Iterations
IterNodes
898
798
697
595
487
370
243
124
014

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
0.8b
(- (* b b) (* (* c a) 4))
0.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
23.5b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite140.0ms

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-- insert-posit16 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 → 88
Calls
4 calls:
77.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
16.0ms
(- (* b b) (* (* c a) 4))
38.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series410.0ms

Counts
4 → 12
Calls
4 calls:
153.0ms
(/ (- (sqrt (- (* b b) (* (* c a) 4))) b) a)
59.0ms
(- (* b b) (* (* c a) 4))
90.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
107.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify1.5s

Counts
100 → 100
Iterations
IterNodes
33565
21088
1398
0161

prune583.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ 1 a))
0.8b
(- (* b b) (* (* c a) 4))
0.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
23.5b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite238.0ms

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 insert-posit16 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 → 89
Calls
4 calls:
167.0ms
(* (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ 1 a))
13.0ms
(- (* b b) (* (* c a) 4))
35.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
21.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series440.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(* (- (sqrt (- (* b b) (* (* c a) 4))) b) (/ 1 a))
74.0ms
(- (* b b) (* (* c a) 4))
114.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
124.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify3.5s

Counts
101 → 101
Iterations
IterNodes
35062
21496
1461
0181

prune523.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.4b

localize53.0ms

Local error

Found 4 expressions with local error:

0.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
0.9b
(- (sqrt (- (* b b) (* (* c a) 4))) b)
23.5b
(sqrt (- (* b b) (* (* c a) 4)))
23.5b
(sqrt (- (* b b) (* (* c a) 4)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×*-un-lft-identity
8×sqrt-prod add-log-exp
6×pow1 add-cube-cbrt
4×flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip-- difference-of-squares
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log distribute-lft-out--
Counts
4 → 64
Calls
4 calls:
43.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
66.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
8.0ms
(sqrt (- (* b b) (* (* c a) 4)))
12.0ms
(sqrt (- (* b b) (* (* c a) 4)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
119.0ms
(- (sqrt (- (* b b) (* (* c a) 4))) b)
105.0ms
(sqrt (- (* b b) (* (* c a) 4)))
85.0ms
(sqrt (- (* b b) (* (* c a) 4)))

simplify4.2s

Counts
76 → 76
Iterations
IterNodes
46256
31938
2598
1193
082

prune589.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.4b

localize38.0ms

Local error

Found 4 expressions with local error:

23.5b
(sqrt (* (* (cbrt (- (* b b) (* (* c a) 4))) (cbrt (- (* b b) (* (* c a) 4)))) (cbrt (- (* b b) (* (* c a) 4)))))
24.2b
(cbrt (- (* b b) (* (* c a) 4)))
24.2b
(cbrt (- (* b b) (* (* c a) 4)))
24.2b
(cbrt (- (* b b) (* (* c a) 4)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
30×flip3-- flip--
28×frac-times
26×sqrt-div
24×pow1
15×sqrt-pow1
14×associate-*l/
12×pow1/3
9×cbrt-prod pow-prod-up
8×associate-*r/
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×pow-plus
5×pow-prod-down
4×add-cbrt-cube add-exp-log insert-posit16 add-log-exp
3×pow-sqr
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 93
Calls
4 calls:
98.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* c a) 4))) (cbrt (- (* b b) (* (* c a) 4)))) (cbrt (- (* b b) (* (* c a) 4)))))
10.0ms
(cbrt (- (* b b) (* (* c a) 4)))
5.0ms
(cbrt (- (* b b) (* (* c a) 4)))
7.0ms
(cbrt (- (* b b) (* (* c a) 4)))

series506.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(sqrt (* (* (cbrt (- (* b b) (* (* c a) 4))) (cbrt (- (* b b) (* (* c a) 4)))) (cbrt (- (* b b) (* (* c a) 4)))))
140.0ms
(cbrt (- (* b b) (* (* c a) 4)))
101.0ms
(cbrt (- (* b b) (* (* c a) 4)))
143.0ms
(cbrt (- (* b b) (* (* c a) 4)))

simplify3.9s

Counts
105 → 105
Iterations
IterNodes
46260
31914
2722
1343
0188

prune412.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 6.4b

regimes299.0ms

Accuracy

84.1% (4.3b remaining)

Error of 10.0b against oracle of 5.7b and baseline of 32.9b

bsearch204.0ms

Steps
ItersRangePoint
8
5.833527798943191e-77
3.6732813120885656e-72
3.1295384133612364e-73
9
-2.2174027590176242e+73
-8.164533525332822e+65
-3.063397748446981e+71

simplify8.0ms

Iterations
IterNodes
234
134
029

end0.0ms

sample3.5s

Algorithm
intervals
Results
805.0ms5891×body80valid
744.0ms1026×body2560valid
636.0ms881×body1280valid
633.0ms2954×body80nan
199.0ms464×body640valid
90.0ms237×body320valid
71.0ms96×body5120valid
20.0ms104×body160valid