Details

Time bar (total: 4.2s)

sample68.0ms

Algorithm
intervals
Results
15.0ms542×pre80true
12.0ms148×body160valid
12.0ms286×body80nan
8.0ms45×body320valid
3.0ms63×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: 43.7b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.4b
(+ (- 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))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
109.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
77.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify66.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0449785
12075672
25002663

prune242.0ms

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: 4.9b

Counts
106 → 13

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify6.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune27.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01212
Picked011
Done000
Total01313

Merged error: 4.9b

Counts
13 → 13

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))

rewrite22.0ms

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))

series69.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/ (* a c) b)
27.0ms
(* -1.5 (/ (* a c) b))
24.0ms
(/ (* -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

prune174.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New811293
Fresh01111
Picked101
Done011
Total8224106

Merged error: 4.8b

Counts
106 → 24

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite42.0ms

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:
17.0ms
(* -1.5 (/ a (/ b c)))
5.0ms
(/ a (/ b c))
11.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

series72.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* -1.5 (/ a (/ b c)))
20.0ms
(/ a (/ b c))
19.0ms
(/ (* -1.5 (/ a (/ b c))) (* 3.0 a))

simplify97.0ms

Algorithm
egg-herbie
Counts
181 → 181
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
07201132
14243985
25002985

prune328.0ms

Filtered
181 candidates to 136 candidates (75.1%)
Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New16714181
Fresh41822
Picked101
Done011
Total17233205

Merged error: 4.8b

Counts
205 → 33

regimes600.0ms

Accuracy

30.2% (4.8b remaining)

Error of 9.9b against oracle of 5.1b and baseline of 12.0b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample2.0s

Algorithm
intervals
Results
520.0ms8082×body80nan
458.0ms16082×pre80true
409.0ms4876×body160valid
168.0ms1335×body320valid
77.0ms1789×body80valid