Details

Time bar (total: 4.0s)

sample62.0ms

Algorithm
intervals
Results
15.0ms146×body160valid
14.0ms529×pre80true
11.0ms273×body80nan
5.0ms110×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: 28.6b

Counts
2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* 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))
28.5b
(+ (- 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))
9.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series252.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
78.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify61.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0449785
12075672
25002663

prune263.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New8718105
Fresh000
Picked101
Done000
Total8818106

Merged error: 9.8b

Counts
106 → 18

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

prune40.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01717
Picked011
Done000
Total01818

Merged error: 9.8b

Counts
18 → 18

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))

rewrite26.0ms

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)
10.0ms
(* -1.5 (/ (* a c) b))
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series67.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
28.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify63.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0383531
12513389
25002389

prune196.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New801393
Fresh01616
Picked101
Done011
Total8130111

Merged error: 9.7b

Counts
111 → 30

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ 1 (* 3.0 a))
0.3b
(* -1.5 (/ (* a c) b))
0.3b
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
147×add-exp-log
77×add-cbrt-cube
76×prod-exp
38×div-exp
34×cbrt-unprod
20×cbrt-undiv
15×add-sqr-sqrt
14×pow1 associate-*r*
13×add-cube-cbrt *-un-lft-identity
12×times-frac
10×rec-exp 1-exp
5×pow-prod-down
4×expm1-log1p-u associate-*r/ associate-*l* associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
2×pow-flip frac-2neg clear-num *-commutative
1×frac-times associate-*l/ un-div-inv inv-pow unswap-sqr
Counts
4 → 146
Calls
4 calls:
4.0ms
(/ (* a c) b)
5.0ms
(/ 1 (* 3.0 a))
6.0ms
(* -1.5 (/ (* a c) b))
12.0ms
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

series86.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (* a c) b)
16.0ms
(/ 1 (* 3.0 a))
32.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

simplify70.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0578917
13123690
25001679

prune167.0ms

Filtered
158 candidates to 74 candidates (46.8%)
Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New1499158
Fresh42428
Picked101
Done011
Total15434188

Merged error: 9.7b

Counts
188 → 34

regimes700.0ms

Accuracy

59.2% (5.6b remaining)

Error of 14.6b against oracle of 9.0b and baseline of 22.7b

bsearch3.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.9s

Algorithm
intervals
Results
534.0ms4495×body160valid
453.0ms16467×pre80true
367.0ms8467×body80nan
154.0ms3505×body80valid