Details

Time bar (total: 6.0s)

sample34.0ms

Algorithm
intervals
Results
14.0ms277×body80valid
4.0ms82×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03818
17918
213618
316118
417318
517718
617718

prune4.0ms

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: 16.1b

Counts
2 → 1

localize123.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.9b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
19.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
49×sqrt-prod
38×*-un-lft-identity
36×unswap-sqr
32×difference-of-squares
18×associate-*l*
14×distribute-lft-out--
12×add-log-exp
6×pow1 add-cube-cbrt swap-sqr *-commutative
4×add-exp-log sqrt-div add-cbrt-cube
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log sum-log distribute-lft-out
1×+-commutative associate--l- associate-+l- sub-neg flip3-+ flip-+
Counts
4 → 105
Calls
4 calls:
37.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
34.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
28.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series317.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
82.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify142.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 3 (130.0ms)

IterNodesCost
03131102
110291062
241751047
350011031

prune309.0ms

Filtered
117 candidates to 72 candidates (61.5%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1107117
Fresh000
Picked101
Done000
Total1117118

Merged error: 6.4b

Counts
118 → 7

localize122.0ms

Local error

Found 4 expressions with local error:

19.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))
19.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
192×add-sqr-sqrt
96×sqrt-prod
72×unswap-sqr
60×difference-of-squares
56×*-un-lft-identity
36×associate-*l*
24×distribute-lft-out--
12×swap-sqr *-commutative
8×pow1 add-cube-cbrt sqrt-div
4×add-exp-log rem-sqrt-square flip3-- sqrt-pow1 pow1/2 add-cbrt-cube flip-- add-log-exp
Counts
4 → 144
Calls
4 calls:
25.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
23.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
27.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series298.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
77.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify82.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
01961452
15681432
220071428
350011396

prune441.0ms

Filtered
156 candidates to 84 candidates (53.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1560156
Fresh066
Picked011
Done000
Total1567163

Merged error: 6.4b

Counts
163 → 7

localize124.0ms

Local error

Found 4 expressions with local error:

0.5b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.3b
(/ (- (- b) (- b (* 2.0 (/ (* a c) b)))) (* 2.0 a))
4.7b
(/ (* a c) b)
19.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
300×*-un-lft-identity
178×add-sqr-sqrt
156×times-frac
136×distribute-lft-out--
80×associate-*l*
76×add-cube-cbrt
45×associate-*r*
40×distribute-rgt-neg-in
33×unswap-sqr
28×difference-of-squares
24×sqrt-prod
22×associate-/l*
18×*-commutative
15×associate-/r*
14×add-exp-log add-cbrt-cube
8×add-log-exp
5×pow1
4×cbrt-undiv div-sub div-exp
3×swap-sqr
2×neg-sub0 flip3-- frac-2neg sqrt-div prod-exp clear-num sum-log flip-- cbrt-unprod div-inv associate-/l/ distribute-lft-out associate--r+
1×+-commutative associate--l- associate-+l- sub-neg rem-sqrt-square sqrt-pow1 flip3-+ pow1/2 neg-log flip-+
Counts
4 → 278
Calls
4 calls:
33.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
40.0ms
(/ (- (- b) (- b (* 2.0 (/ (* a c) b)))) (* 2.0 a))
7.0ms
(/ (* a c) b)
22.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series244.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
63.0ms
(/ (- (- b) (- b (* 2.0 (/ (* a c) b)))) (* 2.0 a))
19.0ms
(/ (* a c) b)
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify124.0ms

Algorithm
egg-herbie
Counts
290 → 290
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
09732998
145182909
250012901

prune820.0ms

Filtered
290 candidates to 155 candidates (53.4%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2873290
Fresh055
Picked101
Done011
Total2889297

Merged error: 5.4b

Counts
297 → 9

localize117.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* 2.0 c) (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.5b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
19.8b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
139×add-sqr-sqrt
116×*-un-lft-identity
60×times-frac
42×unswap-sqr
36×add-cube-cbrt associate-*l*
30×difference-of-squares
28×distribute-lft-out
24×sqrt-prod
18×associate-*r*
14×distribute-rgt-neg-in
12×*-commutative associate-/l* distribute-lft-out--
10×add-log-exp
9×add-exp-log add-cbrt-cube
6×swap-sqr
5×pow1 associate-/r*
2×cbrt-undiv flip3-- flip3-+ sqrt-div div-exp sum-log associate-/r/ flip-- flip-+
1×+-commutative neg-sub0 associate-+l- sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log neg-log prod-exp clear-num cbrt-unprod div-inv
Counts
4 → 177
Calls
4 calls:
42.0ms
(/ (* 2.0 c) (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
22.0ms
(- (* b b) (* (* 4.0 a) c))
36.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series398.0ms

Counts
4 → 12
Calls
4 calls:
194.0ms
(/ (* 2.0 c) (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
48.0ms
(- (* b b) (* (* 4.0 a) c))
82.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
73.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify76.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05852204
124192104
250032089

prune406.0ms

Filtered
189 candidates to 108 candidates (57.1%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1845189
Fresh167
Picked101
Done011
Total18612198

Merged error: 5.2b

Counts
198 → 12

regimes270.0ms

Accuracy

88.5% (1.5b remaining)

Error of 8.0b against oracle of 6.5b and baseline of 19.8b

bsearch174.0ms

Steps
ItersRangePoint
7
8.175350185103435e+71
1.3253879264775672e+74
1.2930490387792999e+74
10
-2.7851241427016145e+159
-9.354797223898085e+144
-1.339770324042421e+154

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06263
17063
27063

end0.0ms

sample878.0ms

Algorithm
intervals
Results
468.0ms8703×body80valid
156.0ms2983×body80nan