Details

Time bar (total: 3.7s)

sample61.0ms

Algorithm
intervals
Results
13.0ms104×body320valid
10.0ms535×pre80true
9.0ms279×body80nan
7.0ms105×body160valid
3.0ms22×body640valid
1.0ms25×body80valid

simplify13.0ms

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: 53.3b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
28.8b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite32.0ms

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))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
9.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* b b) (* (* 3.0 a) c))
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
19.0ms
(* (* 3.0 a) c)
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify62.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0449785
12075672
25002663

prune239.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9510105
Fresh000
Picked101
Done000
Total9610106

Merged error: 2.5b

Counts
106 → 10

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

prune20.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New000
Fresh099
Picked011
Done000
Total01010

Merged error: 2.5b

Counts
10 → 10

localize11.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (* 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:
5.0ms
(/ (* a c) b)
7.0ms
(* -1.5 (/ (* a c) b))
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series69.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ (* a c) b)
26.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0383531
12513389
25002389

prune155.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New85893
Fresh088
Picked101
Done011
Total8617103

Merged error: 2.5b

Counts
103 → 17

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log add-cbrt-cube
57×times-frac
54×add-sqr-sqrt
46×add-cube-cbrt *-un-lft-identity
44×associate-*r*
39×prod-exp cbrt-unprod
31×cbrt-undiv div-exp sqrt-prod
11×pow1
7×associate-*r/ associate-/r*
4×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u div-inv associate-/l* add-log-exp
3×associate-/l/ unswap-sqr
2×frac-times frac-2neg associate-*l/ clear-num *-commutative
Counts
4 → 181
Calls
4 calls:
4.0ms
(/ c (sqrt b))
9.0ms
(* -1.5 (/ a (sqrt b)))
13.0ms
(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
18.0ms
(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))

series193.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(/ c (sqrt b))
65.0ms
(* -1.5 (/ a (sqrt b)))
50.0ms
(* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b)))
36.0ms
(/ (* (* -1.5 (/ a (sqrt b))) (/ c (sqrt b))) (* 3.0 a))

simplify41.0ms

Algorithm
egg-herbie
Counts
193 → 193
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09231583
150021232

prune337.0ms

Filtered
193 candidates to 121 candidates (62.7%)
Pruning

25 alts after pruning (24 fresh and 1 done)

PrunedKeptTotal
New18310193
Fresh11415
Picked101
Done011
Total18525210

Merged error: 2.4b

Counts
210 → 25

regimes417.0ms

Accuracy

0% (3.5b remaining)

Error of 6.2b against oracle of 2.6b and baseline of 6.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample1.6s

Algorithm
intervals
Results
379.0ms3612×body320valid
304.0ms15930×pre80true
261.0ms7930×body80nan
209.0ms2927×body160valid
76.0ms532×body640valid
32.0ms929×body80valid