Details

Time bar (total: 19.8s)

sample56.0ms

Algorithm
intervals
Results
27.0ms276×body80valid
5.0ms80×body80nan

simplify165.0ms

Counts
1 → 1
Iterations
IterNodes
done176
6176
5174
4161
3122
266
136
020

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize187.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.5b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
60×prod-diff
58×*-un-lft-identity
56×add-sqr-sqrt
50×add-cube-cbrt
37×sqrt-prod
26×distribute-rgt-neg-in
24×distribute-lft-neg-in
12×add-log-exp
10×fma-def fma-neg
8×neg-mul-1
6×pow1
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log log1p-expm1-u
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sum-log sqrt-pow1 pow1/2 diff-log neg-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×associate--l- +-commutative sub-neg flip3-+ associate-+l- flip-+
Counts
4 → 151
Calls
4 calls:
28.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
27.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
15.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
11.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series437.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
104.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
100.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
136.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.1s

Counts
163 → 163
Iterations
IterNodes
done5001
21817
1441
0179

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.6b

localize246.0ms

Local error

Found 4 expressions with local error:

12.5b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×fma-def *-un-lft-identity add-cube-cbrt
9×sqrt-prod
8×add-log-exp
7×pow1
6×sqrt-div
4×expm1-log1p-u add-cbrt-cube add-exp-log log1p-expm1-u
3×distribute-lft-neg-in rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 flip3-- pow1/2 flip--
2×sum-log
1×neg-sub0 +-commutative neg-mul-1 flip3-+ neg-log associate-+l- flip-+
Counts
4 → 76
Calls
4 calls:
13.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
16.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
132.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
99.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
100.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.4s

Counts
88 → 88
Iterations
IterNodes
done5000
21106
1260
090

prune982.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.6b

localize207.0ms

Local error

Found 4 expressions with local error:

21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
4×expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log log1p-expm1-u flip-- add-log-exp
Counts
4 → 68
Calls
4 calls:
16.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series407.0ms

Counts
4 → 12
Calls
4 calls:
95.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
91.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
109.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
111.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify3.2s

Counts
80 → 80
Iterations
IterNodes
done5000
33708
2585
1147
054

prune868.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.6b

localize256.0ms

Local error

Found 4 expressions with local error:

21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
4×expm1-log1p-u rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log log1p-expm1-u flip-- add-log-exp
Counts
4 → 68
Calls
4 calls:
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
15.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series429.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
103.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
106.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
119.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.8s

Counts
80 → 80
Iterations
IterNodes
done5000
33708
2585
1147
054

prune867.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 4.6b

regimes379.0ms

Accuracy

93.2% (0.9b remaining)

Error of 8.2b against oracle of 7.3b and baseline of 19.8b

bsearch152.0ms

Steps
ItersRangePoint
7
3.193559613742934e+82
9.45571118856315e+83
8.991400549328154e+83
3
-1.280729871585891e+137
-9.51166686841298e+136
-1.177741376353206e+137

simplify10.0ms

Iterations
IterNodes
done50
150
042

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.6s8708×body80valid
292.0ms2874×body80nan