Details

Time bar (total: 19.3s)

sample55.0ms

Algorithm
intervals
Results
25.0ms281×body80valid
7.0ms92×body80nan

simplify235.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
02038
13538
26637
311637
413937
515137
615337
done15337

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize135.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.1b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity
10×add-log-exp
8×sqrt-prod
6×pow1 add-cube-cbrt
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip-- difference-of-squares
3×diff-log distribute-lft-out--
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2
1×associate--l- neg-sub0 distribute-rgt-neg-in neg-log
Counts
4 → 63
Calls
4 calls:
26.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
78.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
16.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
148.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
110.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
111.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify2.5s

Counts
75 → 75
Iterations

Useful iterations: done (2.5s)

IterNodesCost
01061330
12411181
27481110
326611090
done50001085

prune551.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.2b

localize158.0ms

Local error

Found 4 expressions with local error:

9.4b
(- (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))) b)
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))
22.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
5×pow1
4×add-exp-log cbrt-div flip3-- add-cbrt-cube flip--
3×sqrt-prod
2×pow1/3 sqrt-div
1×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 53
Calls
4 calls:
32.0ms
(- (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))) b)
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
11.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
12.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series578.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(- (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))) b)
109.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
140.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
188.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify2.6s

Counts
65 → 65
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01411448
13341373
29551165
331831137
done50011107

prune507.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 6.2b

localize168.0ms

Local error

Found 4 expressions with local error:

22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-cube-cbrt *-un-lft-identity
7×pow1
6×sqrt-div
4×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
3×cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2
2×cbrt-div
1×pow1/3
Counts
4 → 58
Calls
4 calls:
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
21.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
6.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series456.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
117.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
100.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
140.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify2.5s

Counts
70 → 70
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0901150
12041042
2572952
31928947
done5001928

prune690.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.2b

localize183.0ms

Local error

Found 4 expressions with local error:

22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.8b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-cube-cbrt *-un-lft-identity
7×pow1
6×sqrt-div
4×add-exp-log flip3-- add-cbrt-cube flip-- add-log-exp
3×cbrt-prod rem-sqrt-square sqrt-pow1 pow1/2
2×cbrt-div
1×pow1/3
Counts
4 → 58
Calls
4 calls:
24.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
13.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series426.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
114.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
93.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
121.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify3.0s

Counts
70 → 70
Iterations

Useful iterations: done (3.0s)

IterNodesCost
0901150
12041042
2572952
31928947
done5001928

prune649.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 6.2b

regimes317.0ms

Accuracy

93% (0.9b remaining)

Error of 8.3b against oracle of 7.4b and baseline of 20.1b

bsearch304.0ms

Steps
ItersRangePoint
8
4.61796087672408e+142
8.313972478035852e+145
5.1397209577748005e+144
7
-6.338089291324522e+142
-9.408663701389454e+140
-5.105369019268964e+141

simplify14.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
050180
161180
done61180

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.3s8715×body80valid
482.0ms2915×body80nan