Details

Time bar (total: 4.2s)

sample81.0ms

Algorithm
intervals
Results
20.0ms157×body160valid
15.0ms517×pre80true
13.0ms261×body80nan
7.0ms47×body320valid
3.0ms52×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 43.7b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.2b
(- (* b b) (* (* 4.0 a) c))
39.3b
(+ (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:
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))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
26.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
9.0ms
(- (* b b) (* (* 4.0 a) c))
17.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify45.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0396773
11550683
25001673

prune119.0ms

Filtered
82 candidates to 63 candidates (23.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New79382
Fresh000
Picked011
Done000
Total79483

Merged error: 0.2b

Counts
83 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite47.0ms

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))
17.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
13.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series132.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
10.0ms
(- (* b b) (* (* 4.0 a) c))
44.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
62.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify114.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
06432666
132102408
250012396

prune296.0ms

Filtered
163 candidates to 106 candidates (35.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1576163
Fresh112
Picked101
Done101
Total1607167

Merged error: 0b

Counts
167 → 7

localize16.0ms

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

series98.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(- (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))
46.0ms
(/ (* 4.0 (* a c)) (* a (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify89.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
05181106
13294871
25002864

prune143.0ms

Filtered
97 candidates to 62 candidates (36.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New97097
Fresh066
Picked011
Done000
Total977104

Merged error: 0b

Counts
104 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 4.0 a) c))
0.2b
(/ (* 1 (/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))
0.3b
(/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
0.3b
(/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
95×add-exp-log
69×times-frac
63×add-cbrt-cube
50×add-sqr-sqrt *-un-lft-identity
45×div-exp
31×prod-exp
27×cbrt-undiv
26×add-cube-cbrt
17×cbrt-unprod
13×associate-/r*
12×distribute-lft-out-- difference-of-squares
11×associate-/l*
8×1-exp
7×div-inv
6×distribute-rgt-neg-in sqrt-prod add-log-exp
4×pow1
3×frac-2neg clear-num associate-/l/
2×flip3-- flip--
1×sub-neg diff-log div-sub associate-*r/ associate-/r/
Counts
4 → 150
Calls
4 calls:
4.0ms
(- (* b b) (* (* 4.0 a) c))
18.0ms
(/ (* 1 (/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))
13.0ms
(/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
12.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))

series108.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(- (* b b) (* (* 4.0 a) c))
34.0ms
(/ (* 1 (/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))) (* 2.0 a))
40.0ms
(/ 4.0 (/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c)))
25.0ms
(/ (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* a c))

simplify43.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
09222511
150012076

prune201.0ms

Filtered
162 candidates to 95 candidates (41.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1620162
Fresh055
Picked011
Done011
Total1627169

Merged error: 0b

Counts
169 → 7

regimes185.0ms

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
02713
12713

end0.0ms

sample2.3s

Algorithm
intervals
Results
506.0ms4907×body160valid
449.0ms16132×pre80true
418.0ms8132×body80nan
209.0ms1362×body320valid
93.0ms1731×body80valid

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