Details

Time bar (total: 15.1s)

sample70.0ms

Algorithm
intervals
Results
34.0ms288×body80valid
10.0ms87×body80nan

simplify214.0ms

Counts
1 → 1
Iterations
IterNodes
done168
7168
6166
5160
4151
3125
275
138
020

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.6b

localize147.0ms

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)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-cbrt-cube sqrt-div add-exp-log insert-posit16
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sum-log distribute-rgt-neg-in 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 → 67
Calls
4 calls:
13.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
24.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
9.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
8.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series444.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
119.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
99.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
98.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.1s

Counts
79 → 79
Iterations
IterNodes
done5001
32725
2773
1250
0102

prune614.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.5b

localize151.0ms

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)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 *-un-lft-identity add-cube-cbrt
6×sqrt-div
4×add-cbrt-cube add-exp-log insert-posit16
3×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 flip--
2×sum-log
1×neg-sub0 +-commutative flip3-+ neg-log associate-+l- flip-+
Counts
4 → 62
Calls
4 calls:
16.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
19.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series427.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
104.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
117.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
103.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.0s

Counts
74 → 74
Iterations
IterNodes
done5000
32806
2727
1232
087

prune691.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.5b

localize202.0ms

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)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-div
5×pow1
4×flip3-- add-cbrt-cube add-exp-log insert-posit16 flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 58
Calls
4 calls:
11.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
9.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
9.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series402.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
101.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
104.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
103.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify1.6s

Counts
70 → 70
Iterations
IterNodes
done5002
31931
2578
1202
089

prune717.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 6.5b

localize190.0ms

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)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-prod pow1 sqrt-prod
4×cbrt-div flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 60
Calls
4 calls:
19.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series420.0ms

Counts
4 → 12
Calls
4 calls:
79.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
80.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
114.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
146.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify1.4s

Counts
72 → 72
Iterations
IterNodes
done5002
31931
2578
1202
089

prune664.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.5b

regimes345.0ms

Accuracy

92.8% (1.0b remaining)

Error of 6.9b against oracle of 5.9b and baseline of 19.8b

bsearch230.0ms

Steps
ItersRangePoint
9
6.2301214455520334e+75
1.9082112581546424e+85
1.2227155259920384e+84
6
-4.186518194588193e+147
-8.063856753082807e+146
-1.0792997650810195e+147

simplify9.0ms

Iterations
IterNodes
done45
145
038

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.4s8705×body80valid
309.0ms2845×body80nan