Details

Time bar (total: 4.7s)

sample41.0ms

Algorithm
intervals
Results
20.0ms285×body80valid
5.0ms73×body80nan

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.9b

Counts
2 → 1

localize112.0ms

Local error

Found 4 expressions with local error:

1.6b
(- (* b b) (* (* 4.0 a) c))
1.6b
(- (* b b) (* (* 4.0 a) c))
19.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite19.0ms

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

series232.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* b b) (* (* 4.0 a) c))
46.0ms
(- (* b b) (* (* 4.0 a) c))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify80.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (74.0ms)

IterNodesCost
0147474
1570446
22550444
35001442

prune243.0ms

Filtered
66 candidates to 50 candidates (75.8%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New57966
Fresh000
Picked101
Done000
Total58967

Merged error: 7.8b

Counts
67 → 9

localize115.0ms

Local error

Found 4 expressions with local error:

10.2b
(- (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
19.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×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 flip3-- add-cbrt-cube 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:
4.0ms
(- (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (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)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify115.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (103.0ms)

IterNodesCost
0221722
1829631
23533612
35001592

prune291.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New71172
Fresh178
Picked101
Done000
Total73881

Merged error: 7.8b

Counts
81 → 8

localize116.0ms

Local error

Found 4 expressions with local error:

10.7b
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
19.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite23.0ms

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:
5.0ms
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (neg b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
75.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
75.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
71.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify114.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 3 (106.0ms)

IterNodesCost
0227677
1876574
23665562
35003558

prune285.0ms

Filtered
70 candidates to 59 candidates (84.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New68270
Fresh347
Picked011
Done000
Total71778

Merged error: 7.8b

Counts
78 → 7

localize120.0ms

Local error

Found 4 expressions with local error:

19.7b
(sqrt (- (* b b) (* (* 4.0 a) c)))
20.5b
(cbrt (- (* b b) (* (* 4.0 a) c)))
20.5b
(cbrt (- (* b b) (* (* 4.0 a) c)))
20.5b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×cbrt-div
5×pow1
4×add-exp-log flip3-- add-cbrt-cube 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:
4.0ms
(sqrt (- (* 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)))

series367.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
95.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
96.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
102.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify77.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0200608
1630571
22478564
35001563

prune300.0ms

Filtered
66 candidates to 60 candidates (90.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh055
Picked011
Done011
Total66773

Merged error: 7.8b

Counts
73 → 7

regimes180.0ms

Accuracy

93.4% (0.8b remaining)

Error of 8.8b against oracle of 8.0b and baseline of 20.1b

bsearch147.0ms

Steps
ItersRangePoint
5
2.4830732657334904e+107
7.560458574844312e+107
4.8856578233543854e+107
8
-1.220288225629962e+118
-7.387804175164473e+113
-1.1374861783036412e+118

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04958
14958

end0.0ms

sample1.1s

Algorithm
intervals
Results
601.0ms8744×body80valid
200.0ms2882×body80nan

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