Details

Time bar (total: 5.0s)

sample33.0ms

Algorithm
intervals
Results
14.0ms274×body80valid
5.0ms86×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03818
17918
213618
316118
417318
517718
617718

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize123.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* b b) (* (* 4.0 a) c))
0.7b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite22.0ms

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-exp-log sqrt-div add-cbrt-cube
3×flip3-- flip--
2×rem-sqrt-square sqrt-pow1 pow1/2 sum-log distribute-lft-out
1×+-commutative neg-sub0 associate-+l- sub-neg distribute-rgt-neg-in flip3-+ diff-log neg-log flip-+
Counts
4 → 57
Calls
4 calls:
2.0ms
(- (* b b) (* (* 4.0 a) c))
11.0ms
(+ (- b) (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)))

series299.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 4.0 a) c))
83.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
98.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify121.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (114.0ms)

IterNodesCost
0236533
1919501
23961487
35001484

prune267.0ms

Filtered
69 candidates to 55 candidates (79.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.4b

localize124.0ms

Local error

Found 4 expressions with local error:

11.7b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
22.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite18.0ms

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:
6.0ms
(- (- 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)))

series305.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (- 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)))
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify107.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (100.0ms)

IterNodesCost
0225725
1835631
23414609
35001589

prune340.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 5.4b

localize122.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 add-cube-cbrt
6×sqrt-div
4×add-exp-log add-cbrt-cube
3×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 flip--
2×sum-log distribute-lft-out
1×+-commutative neg-sub0 associate-+l- distribute-rgt-neg-in flip3-+ neg-log flip-+
Counts
4 → 60
Calls
4 calls:
16.0ms
(+ (- b) (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:
82.0ms
(+ (- b) (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)))
68.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify100.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0217561
1808538
23289523
35001519

prune462.0ms

Filtered
72 candidates to 60 candidates (83.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.4b

localize127.0ms

Local error

Found 4 expressions with local error:

22.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.5b
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(cbrt (- (* b b) (* (* 4.0 a) c)))
23.4b
(cbrt (- (* b b) (* (* 4.0 a) c)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-prod sqrt-prod
4×add-exp-log cbrt-div flip3-- sqrt-div add-cbrt-cube flip-- add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 pow1/3
Counts
4 → 56
Calls
4 calls:
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
4.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
2.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
2.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
94.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))
97.0ms
(cbrt (- (* b b) (* (* 4.0 a) c)))

simplify95.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0202586
1639554
22437548
35001544

prune407.0ms

Filtered
68 candidates to 60 candidates (88.2%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.4b

regimes144.0ms

Accuracy

89.1% (1.3b remaining)

Error of 8.7b against oracle of 7.4b and baseline of 19.6b

bsearch193.0ms

Steps
ItersRangePoint
10
2.531505514381809e+64
2.4051897841780437e+82
1.653560956867566e+82
9
-6.802089830509972e+34
-4.695063757665362e+28
-6.7191252715331075e+34

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04961
14961

end0.0ms

sample833.0ms

Algorithm
intervals
Results
458.0ms8767×body80valid
131.0ms2839×body80nan