Details

Time bar (total: 3.6s)

sample53.0ms

Algorithm
intervals
Results
11.0ms117×body320valid
9.0ms509×pre80true
8.0ms253×body80nan
5.0ms80×body160valid
2.0ms13×body640valid
1.0ms46×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 49.9b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
24.4b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite35.0ms

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))
15.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
8.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* b b) (* (* 3.0 a) c))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms
(* (* 3.0 a) c)
83.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify63.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0449785
12075672
25002663

prune263.0ms

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: 3.0b

Counts
106 → 13

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 (2.0ms)

IterNodesCost
000

prune33.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 3.0b

Counts
13 → 13

localize8.0ms

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:
4.0ms
(/ (* a c) b)
6.0ms
(* -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)
31.0ms
(* -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

prune183.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New84993
Fresh01111
Picked101
Done011
Total8521106

Merged error: 3.0b

Counts
106 → 21

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(* -1.5 (expm1 (log1p (/ (* a c) b))))
0.3b
(expm1 (log1p (/ (* a c) b)))
0.4b
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
10×add-sqr-sqrt
8×add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod
4×expm1-log1p-u times-frac associate-/r* log1p-expm1-u add-log-exp
3×associate-*r* associate-*l*
2×frac-2neg clear-num div-inv associate-/l*
1×expm1-log1p pow-prod-down *-commutative expm1-udef unswap-sqr
Counts
4 → 77
Calls
4 calls:
5.0ms
(/ (* a c) b)
3.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
1.0ms
(expm1 (log1p (/ (* a c) b)))
6.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series301.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* a c) b)
99.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
90.0ms
(expm1 (log1p (/ (* a c) b)))
90.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify56.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0379570
12061446
25001439

prune195.0ms

Filtered
89 candidates to 66 candidates (74.2%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New83689
Fresh21719
Picked101
Done011
Total8624110

Merged error: 3.0b

Counts
110 → 24

regimes430.0ms

Accuracy

8.4% (3.3b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.4b

bsearch3.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.5s

Algorithm
intervals
Results
357.0ms3618×body320valid
303.0ms15996×pre80true
246.0ms7996×body80nan
185.0ms2919×body160valid
66.0ms501×body640valid
31.0ms962×body80valid