Details

Time bar (total: 3.8s)

sample79.0ms

Algorithm
intervals
Results
26.0ms274×body80valid
12.0ms91×body80nan

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03818
17918
213618
316118
417318
517718
617718

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.9b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4.0 a) c))
1.0b
(- (* b b) (* (* 4.0 a) c))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 add-cube-cbrt *-un-lft-identity sqrt-prod
4×add-exp-log flip3-- sqrt-div add-cbrt-cube flip--
2×sub-neg rem-sqrt-square sqrt-pow1 pow1/2 diff-log
Counts
4 → 54
Calls
4 calls:
3.0ms
(- (* b b) (* (* 4.0 a) c))
3.0ms
(- (* b b) (* (* 4.0 a) c))
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
6.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (* b b) (* (* 4.0 a) c))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
27.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify80.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (73.0ms)

IterNodesCost
0147474
1570446
22550444
35001442

prune199.0ms

Filtered
50 candidates to 66 candidates (-32.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New531366
Fresh000
Picked101
Done000
Total541367

Merged error: 7.4b

Counts
67 → 13

localize24.0ms

Local error

Found 4 expressions with local error:

8.0b
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 add-cube-cbrt *-un-lft-identity
6×sqrt-div
4×add-exp-log add-cbrt-cube
3×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 flip--
2×sum-log
1×+-commutative neg-sub0 associate-+l- flip3-+ neg-log flip-+
Counts
4 → 58
Calls
4 calls:
4.0ms
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
16.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify112.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0227677
1876574
23665562
35003558

prune235.0ms

Filtered
59 candidates to 70 candidates (-18.6%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh4812
Picked011
Done000
Total711283

Merged error: 7.4b

Counts
83 → 12

localize27.0ms

Local error

Found 4 expressions with local error:

6.9b
(- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
22.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.9b
(cbrt (- (* b b) (* (* 4.0 a) c)))
22.9b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
7×add-cube-cbrt *-un-lft-identity
6×cbrt-prod
5×pow1
4×add-exp-log cbrt-div flip3-- add-cbrt-cube flip--
3×sqrt-prod
2×pow1/3 sqrt-div diff-log
1×associate--l- neg-sub0 sub-neg rem-sqrt-square sqrt-pow1 pow1/2 neg-log
Counts
4 → 55
Calls
4 calls:
4.0ms
(- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series100.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- (neg b) (* (fabs (cbrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (cbrt (- (* b b) (* (* 4.0 a) c))))))
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
24.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
28.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify42.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0377865
11397791
25001755

prune259.0ms

Filtered
60 candidates to 67 candidates (-11.7%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New65267
Fresh01010
Picked011
Done011
Total651479

Merged error: 7.4b

Counts
79 → 14

localize34.0ms

Local error

Found 4 expressions with local error:

22.9b
(cbrt (- (* b b) (* (* 4.0 a) c)))
22.9b
(cbrt (- (* b b) (* (* 4.0 a) c)))
22.9b
(cbrt (- (* b b) (* (* 4.0 a) c)))
22.9b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

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:
3.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
24.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
27.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
24.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify74.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0171672
1559628
22234604
35001572

prune280.0ms

Filtered
56 candidates to 64 candidates (-14.3%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh01111
Picked011
Done022
Total641478

Merged error: 7.4b

Counts
78 → 14

regimes398.0ms

Accuracy

89.6% (1.2b remaining)

Error of 9.0b against oracle of 7.8b and baseline of 19.8b

bsearch65.0ms

Steps
ItersRangePoint
9
1.8477877744450244e+138
2.968449638874272e+144
8.333268719649673e+139
6
-5.0386548328497644e+50
-8.723266051225558e+49
-4.9661206565484316e+50

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05159
15159

end0.0ms

sample1.5s

Algorithm
intervals
Results
821.0ms8704×body80valid
243.0ms2764×body80nan

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