Details

Time bar (total: 3.3s)

sample54.0ms

Algorithm
intervals
Results
12.0ms531×pre80true
10.0ms163×body160valid
8.0ms275×body80nan
4.0ms39×body320valid
2.0ms54×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* 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))
40.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite60.0ms

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
pow1
distribute-rgt-neg-in distribute-lft-out
times-frac associate-/l*
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
distribute-lft-neg-in associate-*r* pow-prod-down
cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
+-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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
6.0ms
(* (* 3.0 a) c)
36.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series251.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
105.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify61.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0449785
12075672
25002663

prune270.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 5.6b

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

prune39.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.6b

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
add-cube-cbrt *-un-lft-identity
times-frac associate-*r*
pow1
associate-/r*
expm1-log1p-u associate-*l* log1p-expm1-u div-inv add-log-exp
frac-2neg associate-*r/ clear-num associate-/l*
pow-prod-down *-commutative associate-/l/ unswap-sqr
Counts
3 → 84
Calls
3 calls:
3.0ms
(/ (* a c) b)
8.0ms
(* -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)
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

prune198.0ms

Pruning

30 alts after pruning (29 fresh and 1 done)

Merged error: 5.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (* a c) b)
0.3b
(/ (/ (* a c) b) a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log add-cbrt-cube
associate-/l*
cbrt-undiv div-exp
associate-/r* div-inv
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
associate-/l/
Counts
2 → 73
Calls
2 calls:
3.0ms
(/ (* a c) b)
5.0ms
(/ (/ (* a c) b) a)

series28.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(/ (* a c) b)
8.0ms
(/ (/ (* a c) b) a)

simplify39.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0291399
11325355
25002331

prune156.0ms

Pruning

32 alts after pruning (31 fresh and 1 done)

Merged error: 5.5b

regimes565.0ms

Accuracy

34.9% (4.7b remaining)

Error of 9.8b against oracle of 5.1b and baseline of 12.4b

bsearch4.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.4s

Algorithm
intervals
Results
304.0ms16291×pre80true
303.0ms4818×body160valid
257.0ms8291×body80nan
132.0ms1335×body320valid
59.0ms1847×body80valid