Details

Time bar (total: 4.0s)

sample63.0ms

Algorithm
intervals
Results
15.0ms541×pre80true
14.0ms162×body160valid
12.0ms285×body80nan
4.0ms94×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: 31.0b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
30.9b
(+ (- 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))))

series249.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
104.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
79.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify62.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0449785
12075672
25002663

prune248.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New8817105
Fresh000
Picked101
Done000
Total8917106

Merged error: 8.7b

Counts
106 → 17

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

prune38.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01616
Picked011
Done000
Total01717

Merged error: 8.7b

Counts
17 → 17

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.3b
(/ (* -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:
7.0ms
(* -1.5 (/ (* a c) b))
4.0ms
(/ (* a c) b)
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series68.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* -1.5 (/ (* a c) b))
18.0ms
(/ (* 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 (12.0ms)

IterNodesCost
0383531
12513389
25002389

prune186.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New781593
Fresh01515
Picked101
Done011
Total7931110

Merged error: 8.6b

Counts
110 → 31

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log add-cbrt-cube
42×times-frac
29×add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
21×cbrt-undiv div-exp
13×prod-exp cbrt-unprod
9×associate-/r* associate-/l*
8×div-inv
7×associate-*r*
6×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×frac-2neg associate-*l* clear-num
2×associate-*r/ associate-/l/
1×pow-prod-down *-commutative unswap-sqr
Counts
4 → 134
Calls
4 calls:
7.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
10.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
6.0ms
(* -1.5 (/ (* a c) b))
5.0ms
(/ (* a c) b)

series97.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (* -1.5 (/ (* a c) b)) 3.0)
20.0ms
(/ (/ (* -1.5 (/ (* a c) b)) 3.0) a)
28.0ms
(* -1.5 (/ (* a c) b))
22.0ms
(/ (* a c) b)

simplify74.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
0512920
12832765
25002765

prune208.0ms

Filtered
146 candidates to 98 candidates (67.1%)
Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New13214146
Fresh72229
Picked101
Done011
Total14037177

Merged error: 8.5b

Counts
177 → 37

regimes778.0ms

Accuracy

58.7% (5.8b remaining)

Error of 14.7b against oracle of 8.9b and baseline of 23.0b

bsearch4.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.7s

Algorithm
intervals
Results
451.0ms16432×pre80true
384.0ms4404×body160valid
367.0ms8432×body80nan
162.0ms3596×body80valid