Details

Time bar (total: 6.2s)

sample1.1s

Algorithm
intervals
Results
15.0ms114×body320valid
9.0ms96×body160valid
8.0ms271×pre80true
4.0ms18×body640valid
1.0ms28×body80valid
1.0ms15×body80nan

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune13.0ms

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: 53.4b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.0b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
28.9b
(+ (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)))
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))))

series66.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
8.0ms
(- (* b b) (* (* 4.0 a) c))
28.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
16.0ms
(+ (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

prune124.0ms

Filtered
82 candidates to 63 candidates (23.2%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New78482
Fresh000
Picked101
Done000
Total79483

Merged error: 0.1b

Counts
83 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* 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))

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:
3.0ms
(- (* b b) (* (* 4.0 a) c))
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
12.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* 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))

series129.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4.0 a) c))
17.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
57.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
47.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))

simplify115.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
06432666
132102408
250022396

prune278.0ms

Filtered
163 candidates to 106 candidates (35.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1585163
Fresh213
Picked011
Done000
Total1607167

Merged error: 0b

Counts
167 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
389×times-frac
281×add-sqr-sqrt
255×*-un-lft-identity
169×add-cube-cbrt
117×add-exp-log
85×associate-*r*
77×add-cbrt-cube
62×div-exp
42×distribute-lft-out-- difference-of-squares
37×cbrt-undiv
33×associate-/l*
27×prod-exp
26×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×div-inv
17×cbrt-unprod
16×associate-/r/
11×associate-/r*
8×unswap-sqr
7×flip3-- flip--
6×pow1
5×rec-exp 1-exp
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 360
Calls
4 calls:
17.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)
6.0ms
(/ 4.0 (/ 2.0 (* a c)))
4.0ms
(/ 2.0 (* a c))
54.0ms
(* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a))

series90.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)
3.0ms
(/ 4.0 (/ 2.0 (* a c)))
3.0ms
(/ 2.0 (* a c))
49.0ms
(* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a))

simplify80.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014755494
150014891

prune768.0ms

Filtered
372 candidates to 218 candidates (41.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3711372
Fresh145
Picked011
Done011
Total3727379

Merged error: 0b

Counts
379 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
0.3b
(/ (* 2.0 a) (* 4.0 (* a c)))
0.3b
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
152×add-exp-log
92×add-cbrt-cube
73×prod-exp
46×div-exp
41×cbrt-unprod
26×cbrt-undiv
18×add-sqr-sqrt
16×*-un-lft-identity
9×pow1
8×add-cube-cbrt rec-exp 1-exp add-log-exp
7×associate-*r*
5×flip3-- times-frac associate-*l* associate-/r/ flip--
4×frac-times associate-*r/ associate-/l* distribute-lft-out-- difference-of-squares
3×sub-neg div-inv
2×distribute-rgt-in pow-flip distribute-rgt-neg-in frac-2neg distribute-lft-in diff-log pow-prod-down associate-*l/ clear-num associate-/r* sqrt-prod
1×associate--l- neg-sub0 neg-log *-commutative inv-pow unswap-sqr
Counts
4 → 145
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
17.0ms
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
7.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
17.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series90.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))
43.0ms
(/ 1 (* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))))
2.0ms
(/ (* 2.0 a) (* 4.0 (* a c)))
26.0ms
(* (/ (* 2.0 a) (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify122.0ms

Algorithm
egg-herbie
Counts
157 → 157
Iterations

Useful iterations: 2 (103.0ms)

IterNodesCost
07972240
147491690
250021682

prune147.0ms

Filtered
157 candidates to 77 candidates (51.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1552157
Fresh224
Picked011
Done112
Total1586164

Merged error: 0b

Counts
164 → 6

regimes168.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02212
12212

end0.0ms

sample2.6s

Algorithm
intervals
Results
506.0ms3649×body320valid
271.0ms2906×body160valid
261.0ms8459×pre80true
103.0ms532×body640valid
44.0ms913×body80valid
23.0ms459×body80nan

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