Details

Time bar (total: 17.2s)

sample43.0ms

Algorithm
intervals
Results
19.0ms277×body80valid
6.0ms104×body80nan

simplify214.0ms

Counts
1 → 1
Iterations
IterNodes
done168
7168
6166
5160
4151
3127
274
138
020

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.8b

localize147.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* b b) (* (* 4.0 a) c))
0.8b
(- (* b b) (* (* 4.0 a) c))
26.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite37.0ms

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 flip--
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
4 → 54
Calls
4 calls:
12.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (* b b) (* (* 4.0 a) c))
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series346.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (* b b) (* (* 4.0 a) c))
67.0ms
(- (* b b) (* (* 4.0 a) c))
101.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
118.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.2s

Counts
66 → 66
Iterations
IterNodes
done5002
32175
2510
1157
062

prune641.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.6b

localize207.0ms

Local error

Found 4 expressions with local error:

7.6b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
26.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
26.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite36.0ms

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
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 → 58
Calls
4 calls:
13.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series447.0ms

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))))))
98.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
105.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
125.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.3s

Counts
70 → 70
Iterations
IterNodes
done5000
32860
2724
1229
086

prune757.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.6b

localize579.0ms

Local error

Found 4 expressions with local error:

26.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
27.0b
(cbrt (- (* b b) (* (* 4.0 a) c)))
27.0b
(cbrt (- (* b b) (* (* 4.0 a) c)))
27.0b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite45.0ms

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 flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
15.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series582.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
129.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
190.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
157.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify1.8s

Counts
66 → 66
Iterations
IterNodes
done5001
32014
2578
1203
090

prune840.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.6b

localize211.0ms

Local error

Found 4 expressions with local error:

26.2b
(sqrt (- (* b b) (* (* 4.0 a) c)))
27.0b
(cbrt (- (* b b) (* (* 4.0 a) c)))
27.0b
(cbrt (- (* b b) (* (* 4.0 a) c)))
27.0b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite43.0ms

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 flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 54
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series586.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
165.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
146.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
165.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify1.8s

Counts
66 → 66
Iterations
IterNodes
done5001
32014
2578
1203
090

prune656.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 7.6b

regimes440.0ms

Accuracy

93.7% (0.9b remaining)

Error of 6.7b against oracle of 5.8b and baseline of 20.0b

bsearch267.0ms

Steps
ItersRangePoint
8
1.0335802065380817e+152
4.346839969020365e+154
1.042426094136288e+152
8
-1.4137780731624028e+101
-4.084920897753177e+97
-1.1322413381639178e+101

simplify22.0ms

Iterations
IterNodes
done56
156
046

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s8769×body80valid
324.0ms2889×body80nan