Details

Time bar (total: 18.8s)

sample55.0ms

Algorithm
intervals
Results
26.0ms281×body80valid
5.0ms89×body80nan

simplify204.0ms

Counts
1 → 1
Iterations
IterNodes
done193
6193
5189
4179
3143
279
139
020

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize173.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.8b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite104.0ms

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:
32.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
27.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
17.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series498.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
133.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
117.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
96.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.3s

Counts
163 → 163
Iterations
IterNodes
done5001
21833
1440
0179

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.5b

localize172.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 4.0 a) c))
0.8b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
61×prod-diff
53×add-sqr-sqrt
51×*-un-lft-identity
47×add-cube-cbrt
37×sqrt-prod
22×distribute-rgt-neg-in
21×distribute-lft-neg-in
11×fma-neg
10×add-log-exp
7×neg-mul-1
6×pow1
4×expm1-log1p-u flip3-- add-cbrt-cube sqrt-div add-exp-log log1p-expm1-u flip--
3×diff-log
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 neg-log
Counts
4 → 140
Calls
4 calls:
7.0ms
(- (* b b) (* (* 4.0 a) c))
50.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
16.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series377.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- (* b b) (* (* 4.0 a) c))
118.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
89.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
100.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.2s

Counts
152 → 152
Iterations
IterNodes
done5000
21954
1433
0181

prune1.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.5b

localize224.0ms

Local error

Found 4 expressions with local error:

10.1b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity add-cube-cbrt
10×fma-neg prod-diff
9×sqrt-prod
8×add-log-exp
7×pow1
6×distribute-lft-neg-in distribute-rgt-neg-in sqrt-div
4×expm1-log1p-u flip3-- add-cbrt-cube add-exp-log log1p-expm1-u flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×neg-mul-1 diff-log
1×associate--l- neg-sub0 sub-neg neg-log difference-of-squares
Counts
4 → 88
Calls
4 calls:
18.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
12.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series449.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
130.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
104.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
95.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.4s

Counts
100 → 100
Iterations
IterNodes
done5001
21219
1293
0115

prune958.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.5b

localize213.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
60×prod-diff
55×add-sqr-sqrt
52×*-un-lft-identity
48×add-cube-cbrt
40×sqrt-prod
22×distribute-rgt-neg-in
21×distribute-lft-neg-in
10×fma-neg
8×add-log-exp
7×pow1 neg-mul-1
6×sqrt-div
4×expm1-log1p-u flip3-- add-cbrt-cube add-exp-log log1p-expm1-u flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 sub-neg neg-log
Counts
4 → 141
Calls
4 calls:
53.0ms
(- (- b) (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)))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series466.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
107.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
132.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
116.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.2s

Counts
153 → 153
Iterations
IterNodes
done5000
21583
1397
0164

prune887.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.5b

regimes487.0ms

Accuracy

90.9% (1.3b remaining)

Error of 6.8b against oracle of 5.5b and baseline of 19.5b

bsearch218.0ms

Steps
ItersRangePoint
10
4.0721326822252617e+40
3.6590220876252264e+50
3.628799960716312e+50
7
-9.685109581380507e+154
-1.5171851739610474e+153
-1.290694061730984e+154

simplify10.0ms

Iterations
IterNodes
done48
148
043

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s8698×body80valid
250.0ms2819×body80nan