Details

Time bar (total: 4.3s)

sample78.0ms

Algorithm
intervals
Results
15.0ms110×body320valid
14.0ms496×pre80true
11.0ms240×body80nan
8.0ms86×body160valid
3.0ms15×body640valid
2.0ms45×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 49.9b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.1b
(- (* b b) (* (* 4.0 a) c))
26.2b
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite27.0ms

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:
3.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
3.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series64.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
27.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(- (* b b) (* (* 4.0 a) c))
15.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify43.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0396773
11550683
25001673

prune123.0ms

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

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New79382
Fresh000
Picked101
Done000
Total80383

Merged error: 0.1b

Counts
83 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(/ (+ 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))
16.0ms
(/ (/ (+ 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)))))

series126.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
8.0ms
(- (* b b) (* (* 4.0 a) c))
42.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
59.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify112.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
06432666
132102408
250012396

prune298.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1567163
Fresh112
Picked101
Done000
Total1588166

Merged error: 0.0b

Counts
166 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.1b
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite39.0ms

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))))
11.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
3.0ms
(- (* b b) (* (* 4.0 a) c))
14.0ms
(/ (* 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))))
26.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
8.0ms
(- (* b b) (* (* 4.0 a) c))
46.0ms
(/ (* 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 (79.0ms)

IterNodesCost
05181106
13294871
25002864

prune143.0ms

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

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New95297
Fresh347
Picked101
Done000
Total996105

Merged error: 0b

Counts
105 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.3b
(* (* 4.0 (* a c)) (/ 1 (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))))
0.3b
(/ 1 (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
55×prod-exp
47×add-cbrt-cube
23×cbrt-unprod
18×pow1
16×add-sqr-sqrt div-exp associate-*r*
14×*-un-lft-identity
10×add-cube-cbrt
8×cbrt-undiv rec-exp 1-exp pow-prod-down
7×associate-*r/
6×times-frac add-log-exp
4×flip3-- associate-*l* associate-/r/ flip--
3×sub-neg associate-/l*
2×distribute-rgt-in pow-flip distribute-lft-in *-commutative div-inv distribute-lft-out-- difference-of-squares
1×distribute-rgt-neg-in frac-2neg diff-log clear-num associate-/r* sqrt-prod un-div-inv inv-pow unswap-sqr
Counts
4 → 123
Calls
4 calls:
11.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
4.0ms
(- (* b b) (* (* 4.0 a) c))
17.0ms
(* (* 4.0 (* a c)) (/ 1 (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))))
13.0ms
(/ 1 (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series121.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
8.0ms
(- (* b b) (* (* 4.0 a) c))
45.0ms
(* (* 4.0 (* a c)) (/ 1 (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))))
42.0ms
(/ 1 (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify99.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
06341603
136741240
250011229

prune138.0ms

Filtered
68 candidates to 135 candidates (-98.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1350135
Fresh055
Picked011
Done000
Total1356141

Merged error: 0b

Counts
141 → 6

regimes171.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02914
12914

end0.0ms

sample2.3s

Algorithm
intervals
Results
506.0ms3623×body320valid
448.0ms15996×pre80true
381.0ms7996×body80nan
281.0ms2954×body160valid
96.0ms524×body640valid
47.0ms899×body80valid

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