Details

Time bar (total: 5.9s)

sample904.0ms

Algorithm
intervals
Results
16.0ms121×body320valid
8.0ms88×body160valid
8.0ms272×pre80true
2.0ms14×body640valid
2.0ms33×body80valid
1.0ms16×body80nan

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0249
1459
2799
3979
41059
51059

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 52.1b

Counts
2 → 1

localize11.0ms

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))
0.1b
(- (* b b) (* (* 4.0 a) c))
23.9b
(+ (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)))
11.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
3.0ms
(- (* b b) (* (* 4.0 a) c))
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)))
27.0ms
(/ (+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
8.0ms
(- (* b b) (* (* 4.0 a) c))
16.0ms
(+ (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify44.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0396773
11550683
25001673

prune114.0ms

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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New80282
Fresh000
Picked101
Done000
Total81283

Merged error: 0.1b

Counts
83 → 2

localize16.0ms

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)))))

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))
18.0ms
(/ (/ (+ 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))
43.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
60.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify116.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (91.0ms)

IterNodesCost
06432666
132102408
250012396

prune275.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1585163
Fresh011
Picked011
Done000
Total1587165

Merged error: 0b

Counts
165 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 4.0 (/ 2.0 (* a c)))
0.3b
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)
0.3b
(/ 2.0 (* a c))
0.4b
(* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a))

rewrite100.0ms

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:
6.0ms
(/ 4.0 (/ 2.0 (* a c)))
14.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)
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))

series88.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 4.0 (/ 2.0 (* a c)))
38.0ms
(/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)
3.0ms
(/ 2.0 (* a c))
43.0ms
(* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a))

simplify81.0ms

Algorithm
egg-herbie
Counts
372 → 372
Iterations

Useful iterations: 1 (31.0ms)

IterNodesCost
014755494
150014891

prune609.0ms

Filtered
218 candidates to 372 candidates (-70.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3711372
Fresh145
Picked011
Done011
Total3727379

Merged error: 0b

Counts
379 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 4.0 (/ 2.0 (* a c)))
0.3b
(/ 2.0 (* a c))
0.3b
(* (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 a))
0.4b
(* (/ 4.0 (/ 2.0 (* a c))) (* (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 a)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
392×add-exp-log
172×div-exp
167×prod-exp
132×add-cbrt-cube
108×times-frac
90×add-sqr-sqrt
72×*-un-lft-identity
54×add-cube-cbrt
53×associate-*l*
52×cbrt-undiv
47×cbrt-unprod
40×rec-exp 1-exp
14×associate-*r*
13×pow1
12×div-inv
9×unswap-sqr
8×associate-/r*
7×frac-times associate-*r/
6×pow-prod-down associate-/l* distribute-lft-out-- difference-of-squares
4×associate-*l/ associate-/r/ add-log-exp
3×distribute-rgt-neg-in sqrt-prod un-div-inv
2×pow-flip frac-2neg clear-num *-commutative inv-pow
1×flip3-- flip--
Counts
4 → 287
Calls
4 calls:
6.0ms
(/ 4.0 (/ 2.0 (* a c)))
4.0ms
(/ 2.0 (* a c))
20.0ms
(* (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 a))
24.0ms
(* (/ 4.0 (/ 2.0 (* a c))) (* (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 a)))

series88.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 4.0 (/ 2.0 (* a c)))
3.0ms
(/ 2.0 (* a c))
37.0ms
(* (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 a))
44.0ms
(* (/ 4.0 (/ 2.0 (* a c))) (* (/ 1 (- (neg b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (/ 1 a)))

simplify61.0ms

Algorithm
egg-herbie
Counts
299 → 299
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
014074041
150023246

prune320.0ms

Filtered
148 candidates to 299 candidates (-102.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2990299
Fresh044
Picked011
Done022
Total2997306

Merged error: 0b

Counts
306 → 7

regimes303.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02513
12713
22713

end0.0ms

sample2.3s

Algorithm
intervals
Results
494.0ms3620×body320valid
275.0ms2984×body160valid
245.0ms8464×pre80true
97.0ms514×body640valid
41.0ms882×body80valid
23.0ms464×body80nan

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