Details

Time bar (total: 19.2s)

sample99.0ms

Algorithm
intervals
Results
64.0ms288×body80valid
15.0ms87×body80nan

simplify136.0ms

Counts
1 → 1
Iterations
IterNodes
done186
6186
5182
4172
3141
280
139
020

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize140.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0b
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
24.3b
(sqrt (- (* b b) (* (* 4 a) c)))
24.3b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite73.0ms

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 insert-posit16 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 → 155
Calls
4 calls:
22.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
23.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
9.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series381.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
91.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
107.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
85.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify3.0s

Counts
167 → 167
Iterations
IterNodes
done5000
34761
21256
1435
0181

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.1b

localize158.0ms

Local error

Found 4 expressions with local error:

9.0b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
24.3b
(sqrt (- (* b b) (* (* 4 a) c)))
24.3b
(sqrt (- (* b b) (* (* 4 a) c)))
24.3b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite55.0ms

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 insert-posit16 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 → 80
Calls
4 calls:
9.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
11.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
17.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
17.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
99.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
114.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
85.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.0s

Counts
92 → 92
Iterations
IterNodes
done5000
33511
2826
1250
091

prune840.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 8.1b

localize227.0ms

Local error

Found 4 expressions with local error:

24.3b
(sqrt (- (* b b) (* (* 4 a) c)))
25.1b
(cbrt (- (* b b) (* (* 4 a) c)))
25.1b
(cbrt (- (* b b) (* (* 4 a) c)))
25.1b
(cbrt (- (* b b) (* (* 4 a) c)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-div
5×pow1
4×expm1-log1p-u flip3-- add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 66
Calls
4 calls:
18.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
16.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
102.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
115.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
126.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
134.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify2.2s

Counts
78 → 78
Iterations
IterNodes
done5001
32362
2629
1215
093

prune762.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 8.1b

localize202.0ms

Local error

Found 4 expressions with local error:

24.3b
(sqrt (- (* b b) (* (* 4 a) c)))
24.3b
(sqrt (- (* b b) (* (* 4 a) c)))
25.1b
(cbrt (- (* b b) (* (* 4 a) c)))
25.1b
(cbrt (- (* b b) (* (* 4 a) c)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1 sqrt-prod
4×expm1-log1p-u cbrt-div flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 68
Calls
4 calls:
12.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
11.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
101.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
106.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
94.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify2.4s

Counts
80 → 80
Iterations
IterNodes
done5001
32362
2629
1215
093

prune770.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 8.1b

regimes281.0ms

Accuracy

91.2% (1.1b remaining)

Error of 8.7b against oracle of 7.6b and baseline of 19.9b

bsearch367.0ms

Steps
ItersRangePoint
9
6.2301214455520334e+75
1.9082112581546424e+85
3.4243727332802643e+80
9
-5.599802959155633e+154
-4.186518194588193e+147
-1.3282248930815427e+154

simplify15.0ms

Iterations
IterNodes
done51
151
043

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s8705×body80valid
546.0ms2845×body80nan