Details

Time bar (total: 3.4s)

sample50.0ms

Algorithm
intervals
Results
11.0ms165×body160valid
9.0ms512×pre80true
8.0ms256×body80nan
4.0ms44×body320valid
2.0ms47×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune3.0ms

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: 45.1b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.3b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite34.0ms

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)
14.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series250.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* b b) (* (* 3.0 a) c))
20.0ms
(* (* 3.0 a) c)
103.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify57.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0449785
12075672
25002663

prune249.0ms

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: 5.2b

Counts
106 → 13

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune30.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 5.2b

Counts
13 → 13

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

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)
6.0ms
(* -1.5 (/ (* a c) b))
8.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series69.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
30.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify55.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0383531
12513389
25002389

prune185.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New781593
Fresh01111
Picked101
Done011
Total7927106

Merged error: 5.1b

Counts
106 → 27

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
21×prod-exp cbrt-unprod
17×add-sqr-sqrt
14×associate-*r*
12×cbrt-undiv add-cube-cbrt *-un-lft-identity div-exp
11×times-frac
10×pow1
6×associate-*l*
5×associate-*r/
4×pow-prod-down
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* associate-/l/ associate-/l*
Counts
3 → 89
Calls
3 calls:
6.0ms
(* a (/ c b))
6.0ms
(* -1.5 (* a (/ c b)))
10.0ms
(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

series65.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* a (/ c b))
27.0ms
(* -1.5 (* a (/ c b)))
20.0ms
(/ (* -1.5 (* a (/ c b))) (* 3.0 a))

simplify69.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0425550
12901408
25002408

prune272.0ms

Filtered
98 candidates to 57 candidates (58.2%)
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New871198
Fresh71825
Picked101
Done011
Total9530125

Merged error: 5.1b

Counts
125 → 30

regimes473.0ms

Accuracy

19.2% (5.3b remaining)

Error of 10.5b against oracle of 5.2b and baseline of 11.8b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.4s

Algorithm
intervals
Results
340.0ms4933×body160valid
302.0ms16352×pre80true
261.0ms8352×body80nan
135.0ms1353×body320valid
58.0ms1714×body80valid