Details

Time bar (total: 3.7s)

sample51.0ms

Algorithm
intervals
Results
10.0ms250×body80nan
9.0ms144×body160valid
9.0ms506×pre80true
5.0ms48×body320valid
2.0ms64×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 42.5b

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))
36.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite31.0ms

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)
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series253.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
81.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify60.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0449785
12075672
25002663

prune245.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New9114105
Fresh000
Picked101
Done000
Total9214106

Merged error: 5.3b

Counts
106 → 14

localize4.0ms

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

prune33.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 5.3b

Counts
14 → 14

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:
5.0ms
(/ (* 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)
30.0ms
(* -1.5 (/ (* a c) b))
21.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify57.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0383531
12513389
25002389

prune180.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New791493
Fresh01212
Picked101
Done011
Total8027107

Merged error: 5.3b

Counts
107 → 27

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
145×times-frac
90×add-sqr-sqrt
81×add-cube-cbrt *-un-lft-identity
49×add-exp-log add-cbrt-cube
44×associate-*r*
20×cbrt-undiv div-exp
14×associate-/r*
13×prod-exp cbrt-unprod
10×div-inv
5×pow1
4×associate-/l*
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg associate-*r/ clear-num associate-/r/
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 172
Calls
3 calls:
8.0ms
(/ a (/ b c))
14.0ms
(* -1.5 (/ a (/ b c)))
11.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series70.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ a (/ b c))
29.0ms
(* -1.5 (/ a (/ b c)))
20.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify102.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07201132
14243985
25002985

prune327.0ms

Filtered
181 candidates to 136 candidates (75.1%)
Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New16417181
Fresh71825
Picked101
Done011
Total17236208

Merged error: 5.3b

Counts
208 → 36

regimes661.0ms

Accuracy

28.1% (5.0b remaining)

Error of 10.2b against oracle of 5.2b and baseline of 12.1b

bsearch4.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.4s

Algorithm
intervals
Results
316.0ms4808×body160valid
299.0ms16300×pre80true
260.0ms8300×body80nan
135.0ms1338×body320valid
64.0ms1854×body80valid