Details

Time bar (total: 3.4s)

sample55.0ms

Algorithm
intervals
Results
11.0ms114×body320valid
10.0ms521×pre80true
8.0ms265×body80nan
6.0ms92×body160valid
2.0ms18×body640valid
1.0ms32×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: 51.8b

Counts
2 → 1

localize10.0ms

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))
0.3b
(* (* 3.0 a) c)
26.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite36.0ms

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))
12.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
5.0ms
(* (* 3.0 a) c)
13.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series261.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(- (* b b) (* (* 3.0 a) c))
107.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms
(* (* 3.0 a) c)
84.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify59.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0449785
12075672
25002663

prune240.0ms

Filtered
105 candidates to 78 candidates (74.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New9411105
Fresh000
Picked101
Done000
Total9511106

Merged error: 2.8b

Counts
106 → 11

localize3.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune26.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01010
Picked011
Done000
Total01111

Merged error: 2.8b

Counts
11 → 11

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))

series72.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
28.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify56.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0383531
12513389
25002389

prune161.0ms

Filtered
93 candidates to 54 candidates (58.1%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New86793
Fresh099
Picked101
Done011
Total8717104

Merged error: 2.8b

Counts
104 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* 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)))
5.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

series300.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* a c) b)
101.0ms
(* -1.5 (expm1 (log1p (/ (* a c) b))))
91.0ms
(expm1 (log1p (/ (* a c) b)))
89.0ms
(/ (* -1.5 (expm1 (log1p (/ (* a c) b)))) (* 3.0 a))

simplify58.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0379570
12061446
25001439

prune166.0ms

Filtered
89 candidates to 67 candidates (75.3%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New86389
Fresh31215
Picked011
Done011
Total8917106

Merged error: 2.8b

Counts
106 → 17

regimes311.0ms

Accuracy

0% (3.7b remaining)

Error of 6.5b against oracle of 2.8b and baseline of 6.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample1.5s

Algorithm
intervals
Results
354.0ms3602×body320valid
305.0ms16061×pre80true
247.0ms8061×body80nan
194.0ms2965×body160valid
62.0ms481×body640valid
31.0ms952×body80valid