Details

Time bar (total: 17.8s)

sample113.0ms

Algorithm
intervals
Results
75.0ms289×body80valid
15.0ms86×body80nan

simplify198.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize183.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4 a) c))
1.0b
(- (* b b) (* (* 4 a) c))
25.0b
(sqrt (- (* b b) (* (* 4 a) c)))
25.0b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip--
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
4 → 58
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4 a) c))
10.0ms
(- (* b b) (* (* 4 a) c))
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
18.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series372.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (* b b) (* (* 4 a) c))
55.0ms
(- (* b b) (* (* 4 a) c))
118.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
124.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.2s

Counts
70 → 70
Iterations
IterNodes
done2000
32000
2517
1158
063

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize164.0ms

Local error

Found 4 expressions with local error:

8.3b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
25.0b
(sqrt (- (* b b) (* (* 4 a) c)))
25.0b
(sqrt (- (* b b) (* (* 4 a) c)))
25.0b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite43.0ms

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))))))
11.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series388.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
81.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
99.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
93.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.2s

Counts
74 → 74
Iterations
IterNodes
done2004
32004
2727
1232
087

prune1.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.5b

localize181.0ms

Local error

Found 4 expressions with local error:

25.0b
(sqrt (- (* b b) (* (* 4 a) c)))
25.8b
(cbrt (- (* b b) (* (* 4 a) c)))
25.8b
(cbrt (- (* b b) (* (* 4 a) c)))
25.8b
(cbrt (- (* b b) (* (* 4 a) c)))

rewrite48.0ms

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:
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
11.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
11.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series522.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
140.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
153.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
145.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify1.6s

Counts
70 → 70
Iterations
IterNodes
done2003
42003
31931
2578
1202
089

prune1.5s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.5b

localize165.0ms

Local error

Found 4 expressions with local error:

25.0b
(sqrt (- (* b b) (* (* 4 a) c)))
25.8b
(cbrt (- (* b b) (* (* 4 a) c)))
25.8b
(cbrt (- (* b b) (* (* 4 a) c)))
25.8b
(cbrt (- (* b b) (* (* 4 a) c)))

rewrite48.0ms

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:
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
11.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
11.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series523.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
119.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
155.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
150.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify2.0s

Counts
70 → 70
Iterations
IterNodes
done2003
42003
31931
2578
1202
089

prune1.4s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.5b

regimes472.0ms

Accuracy

91.2% (1.1b remaining)

Error of 8.1b against oracle of 7.0b and baseline of 19.3b

bsearch403.0ms

Steps
ItersRangePoint
9
1.1500868835104234e+100
1.1016243770318365e+105
7.947663392061663e+104
8
-4.336983712965787e+155
-6.488343844980391e+152
-1.3441037991607355e+154

simplify12.0ms

Iterations
IterNodes
done53
153
044

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.7s8747×body80valid
570.0ms2996×body80nan