Details

Time bar (total: 4.2s)

sample80.0ms

Algorithm
intervals
Results
18.0ms154×body160valid
18.0ms258×body80nan
15.0ms514×pre80true
8.0ms45×body320valid
4.0ms57×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 43.5b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* 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))
38.5b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite61.0ms

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:
3.0ms
(- (* b b) (* (* 3.0 a) c))
8.0ms
(* (* 3.0 a) c)
34.0ms
(/ (+ (- 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:
44.0ms
(- (* b b) (* (* 3.0 a) c))
19.0ms
(* (* 3.0 a) c)
111.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
77.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify64.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0449785
12075672
25002663

prune256.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.7b

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

prune35.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.7b

localize7.0ms

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))

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:
3.0ms
(/ (* a c) b)
8.0ms
(* -1.5 (/ (* a c) b))
8.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series71.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
31.0ms
(* -1.5 (/ (* a c) b))
21.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify58.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0383531
12513389
25002389

prune182.0ms

Pruning

25 alts after pruning (24 fresh and 1 done)

Merged error: 5.7b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log add-cbrt-cube
17×cbrt-undiv div-exp
16×times-frac prod-exp cbrt-unprod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×pow1 associate-/l*
4×associate-/r* div-inv
3×expm1-log1p-u associate-*l* pow-prod-down log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×associate-*r* *-commutative associate-/l/
Counts
3 → 89
Calls
3 calls:
7.0ms
(/ (* -1.5 (* a c)) b)
6.0ms
(* -1.5 (* a c))
9.0ms
(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))

series69.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (* -1.5 (* a c)) b)
21.0ms
(* -1.5 (* a c))
21.0ms
(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))

simplify53.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0387586
12159442
25001442

prune139.0ms

Pruning

31 alts after pruning (30 fresh and 1 done)

Merged error: 5.6b

regimes512.0ms

Accuracy

28.6% (5.1b remaining)

Error of 10.2b against oracle of 5.1b and baseline of 12.2b

bsearch4.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample2.2s

Algorithm
intervals
Results
576.0ms4858×body160valid
488.0ms8222×body80nan
468.0ms16222×pre80true
223.0ms1325×body320valid
121.0ms1817×body80valid