Details

Time bar (total: 3.3s)

sample56.0ms

Algorithm
intervals
Results
12.0ms141×body160valid
11.0ms567×pre80true
10.0ms311×body80nan
4.0ms115×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: 28.7b

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))
28.6b
(+ (- 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))
5.0ms
(* (* 3.0 a) c)
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
9.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series254.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
82.0ms
(+ (- 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

prune244.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New9015105
Fresh000
Picked101
Done000
Total9115106

Merged error: 8.3b

Counts
106 → 15

localize4.0ms

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

prune34.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01414
Picked011
Done000
Total01515

Merged error: 8.3b

Counts
15 → 15

localize7.0ms

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)
6.0ms
(* -1.5 (/ (* a c) b))
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series71.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
32.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify60.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0383531
12513389
25002389

prune178.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New781593
Fresh01313
Picked101
Done011
Total7929108

Merged error: 8.1b

Counts
108 → 29

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
23×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
13×associate-*r*
10×times-frac
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1
3×pow-prod-down
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*l* clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
2 → 71
Calls
2 calls:
7.0ms
(* (* a -1.5) (/ c b))
9.0ms
(/ (* (* a -1.5) (/ c b)) (* 3.0 a))

series51.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (* a -1.5) (/ c b))
24.0ms
(/ (* (* a -1.5) (/ c b)) (* 3.0 a))

simplify71.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0436520
12966364
25003364

prune86.0ms

Filtered
77 candidates to 39 candidates (50.6%)
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New671077
Fresh62127
Picked101
Done101
Total7531106

Merged error: 8.1b

Counts
106 → 31

regimes652.0ms

Accuracy

58.9% (5.6b remaining)

Error of 14.7b against oracle of 9.0b and baseline of 22.8b

bsearch4.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03130
13130

end0.0ms

sample1.4s

Algorithm
intervals
Results
315.0ms16643×pre80true
294.0ms4478×body160valid
274.0ms8643×body80nan
118.0ms3522×body80valid