Details

Time bar (total: 3.5s)

sample53.0ms

Algorithm
intervals
Results
10.0ms561×pre80true
10.0ms152×body160valid
9.0ms305×body80nan
4.0ms40×body320valid
2.0ms64×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 44.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
38.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt fma-def add-log-exp
9×pow1
6×distribute-rgt-neg-in distribute-lft-out
5×times-frac associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg flip3-- frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 93
Calls
4 calls:
4.0ms
(- (* b b) (* (* 3.0 a) c))
5.0ms
(* (* 3.0 a) c)
15.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
9.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
107.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
83.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify61.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0449785
12075672
25002663

prune240.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New9213105
Fresh000
Picked101
Done000
Total9313106

Merged error: 4.8b

Counts
106 → 13

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune28.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 4.8b

Counts
13 → 13

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
7×times-frac associate-*r*
5×pow1
4×associate-/r*
3×expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/l*
1×pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 84
Calls
3 calls:
4.0ms
(/ (* a c) b)
7.0ms
(* -1.5 (/ (* a c) b))
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series70.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
24.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify58.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0383531
12513389
25002389

prune167.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New811293
Fresh01111
Picked101
Done011
Total8224106

Merged error: 4.7b

Counts
106 → 24

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (sqrt (/ (* a c) b)))
0.4b
(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))
0.4b
(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
20×associate-*r*
17×add-sqr-sqrt
15×sqrt-prod
14×prod-exp cbrt-unprod
13×add-cube-cbrt *-un-lft-identity
11×pow1
10×times-frac
9×sqrt-div
8×cbrt-undiv div-exp
7×associate-*r/
4×expm1-log1p-u associate-*l* pow-prod-down associate-/r* log1p-expm1-u div-inv add-log-exp
3×associate-/l/
2×frac-times frac-2neg associate-*l/ clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 112
Calls
4 calls:
5.0ms
(/ (* a c) b)
8.0ms
(* -1.5 (sqrt (/ (* a c) b)))
16.0ms
(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))
12.0ms
(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))

series199.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* a c) b)
67.0ms
(* -1.5 (sqrt (/ (* a c) b)))
42.0ms
(/ (* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b))) (* 3.0 a))
70.0ms
(* (* -1.5 (sqrt (/ (* a c) b))) (sqrt (/ (* a c) b)))

simplify75.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
0444878
12868674
25003658

prune211.0ms

Filtered
124 candidates to 82 candidates (66.1%)
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New1177124
Fresh02222
Picked101
Done011
Total11830148

Merged error: 4.7b

Counts
148 → 30

regimes510.0ms

Accuracy

14.6% (6.0b remaining)

Error of 11.1b against oracle of 5.0b and baseline of 12.1b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
03663
13945
24245
34245

end0.0ms

sample1.4s

Algorithm
intervals
Results
324.0ms4839×body160valid
304.0ms16200×pre80true
260.0ms8200×body80nan
131.0ms1336×body320valid
61.0ms1825×body80valid