Details

Time bar (total: 3.7s)

analyze272.0ms

Algorithm
search

sample40.0ms

Algorithm
intervals
Results
15.0ms151×body160valid
8.0ms280×pre80true
5.0ms105×body80valid
1.0ms24×body80nan

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.0b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
29.8b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
5.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
3.0ms
(- (* b b) (* (* 4.0 a) c))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
7.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(- (* b b) (* (* 4.0 a) c))
26.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify43.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0396773
11550683
25001673

prune131.0ms

Filtered
63 candidates to 82 candidates (-30.2%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New77582
Fresh000
Picked101
Done000
Total78583

Merged error: 0.4b

Counts
83 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.4b
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
3.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series128.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms
(- (* b b) (* (* 4.0 a) c))
46.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
57.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify111.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
06432666
132102408
250012396

prune343.0ms

Filtered
106 candidates to 163 candidates (-53.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New14914163
Fresh404
Picked101
Done000
Total15414168

Merged error: 0.0b

Counts
168 → 14

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.2b
(- (* b b) (* (* 4.0 a) c))
0.4b
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×*-un-lft-identity
10×prod-exp cbrt-unprod add-log-exp
7×associate-*r*
6×pow1 cbrt-undiv add-cube-cbrt div-exp
4×sub-neg flip3-- associate-*r/ flip-- distribute-lft-out-- difference-of-squares
3×diff-log associate-*l*
2×distribute-rgt-in distribute-rgt-neg-in distribute-lft-in sqrt-prod associate-/r/
1×associate--l- neg-sub0 frac-2neg times-frac pow-prod-down neg-log clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 85
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
10.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
3.0ms
(- (* b b) (* (* 4.0 a) c))
13.0ms
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series96.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
27.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
9.0ms
(- (* b b) (* (* 4.0 a) c))
45.0ms
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify90.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
05181106
13294871
25002864

prune171.0ms

Filtered
62 candidates to 97 candidates (-56.5%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New92597
Fresh7613
Picked101
Done000
Total10011111

Merged error: 0b

Counts
111 → 11

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (* 4.0 (* a c)) a)
0.2b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (/ (* 4.0 (* a c)) a) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.2b
(- (* b b) (* (* 4.0 a) c))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
66×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
27×add-exp-log add-cbrt-cube
18×distribute-lft-out-- difference-of-squares
10×cbrt-undiv div-exp associate-/r* div-inv add-log-exp
9×distribute-rgt-neg-in sqrt-prod
8×associate-/l*
6×prod-exp cbrt-unprod
4×pow1
3×flip3-- diff-log flip--
2×sub-neg frac-2neg clear-num associate-/r/
1×associate--l- neg-sub0 neg-log associate-/l/
Counts
4 → 137
Calls
4 calls:
6.0ms
(/ (* 4.0 (* a c)) a)
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
14.0ms
(/ (/ (* 4.0 (* a c)) a) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
3.0ms
(- (* b b) (* (* 4.0 a) c))

series73.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ (* 4.0 (* a c)) a)
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
44.0ms
(/ (/ (* 4.0 (* a c)) a) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
11.0ms
(- (* b b) (* (* 4.0 a) c))

simplify91.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
06412033
133651826
250011800

prune202.0ms

Filtered
93 candidates to 149 candidates (-60.2%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New1472149
Fresh2810
Picked101
Done000
Total15010160

Merged error: 0b

Counts
160 → 10

regimes254.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412
12612
22612

end0.0ms

analyze262.0ms

Algorithm
search

sample1.1s

Algorithm
intervals
Results
445.0ms4477×body160valid
253.0ms8830×pre80true
186.0ms3523×body80valid
41.0ms830×body80nan

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