Details

Time bar (total: 13.7s)

sample100.0ms

Algorithm
intervals
Results
50.0ms278×body80valid
12.0ms95×body80nan

simplify165.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
02038
13838
27837
313637
416337
517537
617937
done17937

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.7b

localize145.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
1.6b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite172.0ms

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:
89.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
56.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series467.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(- (sqrt (- (* b b) (* (* 4.0 a) c))) b)
114.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
110.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
133.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify872.0ms

Counts
75 → 75
Iterations

Useful iterations: done (868.0ms)

IterNodesCost
01061330
12501189
210981110
done50011100

prune554.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.4b

localize150.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
11×*-un-lft-identity
10×sqrt-prod
8×add-log-exp
7×pow1 add-cube-cbrt
6×sqrt-div
4×add-exp-log flip3-- add-cbrt-cube flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 sub-neg distribute-rgt-neg-in neg-log
Counts
4 → 63
Calls
4 calls:
47.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
10.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
15.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series475.0ms

Counts
4 → 12
Calls
4 calls:
128.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
128.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
113.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
106.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify742.0ms

Counts
75 → 75
Iterations

Useful iterations: done (740.0ms)

IterNodesCost
0871276
12161122
28961056
done50001048

prune544.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.4b

localize147.0ms

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)
23.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite77.0ms

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:
40.0ms
(- (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))) b)
18.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
11.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
6.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series528.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(- (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))) b)
96.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
145.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
161.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify950.0ms

Counts
65 → 65
Iterations

Useful iterations: done (947.0ms)

IterNodesCost
01411448
13461385
212741185
done50001141

prune536.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 7.4b

localize189.0ms

Local error

Found 4 expressions with local error:

23.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.7b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 52
Calls
4 calls:
13.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
13.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
12.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
22.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series648.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
169.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
157.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
153.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify2.5s

Counts
64 → 64
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0651180
11611144
25711024
330881004
done5001964

prune746.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 7.4b

regimes253.0ms

Accuracy

85.4% (1.8b remaining)

Error of 9.4b against oracle of 7.5b and baseline of 20.2b

bsearch231.0ms

Steps
ItersRangePoint
10
1.3113650301339767e-12
0.01077406869848718
0.010648423176581222
7
-6.157033594128643e+106
-3.0433044982512647e+105
-2.325055112202404e+106

simplify9.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
040132
146132
done46132

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.4s8705×body80valid
411.0ms3037×body80nan