Details

Time bar (total: 18.2s)

sample82.0ms

Algorithm
intervals
Results
30.0ms285×body80valid
18.0ms106×body80nan

simplify194.0ms

Counts
1 → 1
Iterations
IterNodes
done151
7151
6150
5143
4131
3103
261
135
020

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.9b

localize157.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* b b) (* (* 4.0 a) c))
0.8b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
8×add-sqr-sqrt
6×pow1 add-cube-cbrt sqrt-prod
4×add-cbrt-cube sqrt-div add-exp-log
3×flip3-- flip--
2×rem-sqrt-square sum-log sqrt-pow1 pow1/2 distribute-lft-out
1×neg-sub0 +-commutative sub-neg distribute-rgt-neg-in flip3-+ diff-log neg-log associate-+l- flip-+
Counts
4 → 57
Calls
4 calls:
9.0ms
(- (* b b) (* (* 4.0 a) c))
33.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
8.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
16.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series446.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(- (* b b) (* (* 4.0 a) c))
134.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
112.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
133.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.6s

Counts
69 → 69
Iterations
IterNodes
done5000
33325
2794
1242
093

prune739.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.2b

localize158.0ms

Local error

Found 4 expressions with local error:

8.0b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 *-un-lft-identity add-cube-cbrt
6×sqrt-div
4×flip3-- add-cbrt-cube add-exp-log flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log
1×associate--l- neg-sub0 sub-neg neg-log difference-of-squares
Counts
4 → 60
Calls
4 calls:
11.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
11.0ms
(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)))

series434.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
113.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
115.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
97.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify1.9s

Counts
72 → 72
Iterations
IterNodes
done5000
32389
2669
1223
090

prune701.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.1b

localize171.0ms

Local error

Found 4 expressions with local error:

10.9b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite35.0ms

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:
9.0ms
(+ (- 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)))
11.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series416.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
102.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
80.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
108.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.5s

Counts
70 → 70
Iterations
IterNodes
done5000
32860
2724
1229
086

prune725.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 8.1b

localize268.0ms

Local error

Found 4 expressions with local error:

24.3b
(sqrt (- (* b b) (* (* 4.0 a) c)))
25.1b
(cbrt (- (* b b) (* (* 4.0 a) c)))
25.1b
(cbrt (- (* b b) (* (* 4.0 a) c)))
25.1b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite27.0ms

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:
7.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series612.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
172.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
162.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
166.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify1.8s

Counts
66 → 66
Iterations
IterNodes
done5001
32014
2578
1203
090

prune1.0s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 8.1b

regimes556.0ms

Accuracy

93.8% (0.9b remaining)

Error of 6.6b against oracle of 5.7b and baseline of 20.1b

bsearch291.0ms

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

simplify20.0ms

Iterations
IterNodes
done52
152
043

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s8718×body80valid
442.0ms2875×body80nan