Details

Time bar (total: 3.4s)

sample53.0ms

Algorithm
intervals
Results
14.0ms121×body320valid
8.0ms475×pre80true
7.0ms219×body80nan
6.0ms92×body160valid
1.0ms10×body640valid
1.0ms33×body80valid

simplify13.0ms

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: 51.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.2b
(* (* 3.0 a) c)
24.8b
(+ (- 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
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))
37.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
7.0ms
(* (* 3.0 a) c)
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series271.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(- (* b b) (* (* 3.0 a) c))
113.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
21.0ms
(* (* 3.0 a) c)
86.0ms
(+ (- 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

prune267.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 2.8b

localize3.0ms

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 (1.0ms)

IterNodesCost
000

prune34.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 2.8b

localize7.0ms

Local error

Found 3 expressions with local error:

0.3b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* a c) b)
0.3b
(/ (* -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:
8.0ms
(* -1.5 (/ (* a c) b))
3.0ms
(/ (* a c) b)
8.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series75.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* -1.5 (/ (* a c) b))
20.0ms
(/ (* a c) b)
22.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0383531
12513389
25002389

prune182.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 2.8b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

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))

series73.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ (* -1.5 (* a c)) b)
22.0ms
(* -1.5 (* a c))
22.0ms
(/ (/ (* -1.5 (* a c)) b) (* 3.0 a))

simplify56.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0387586
12159442
25001442

prune146.0ms

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 2.8b

regimes415.0ms

Accuracy

13.8% (3.0b remaining)

Error of 5.6b against oracle of 2.6b and baseline of 6.1b

bsearch3.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.5s

Algorithm
intervals
Results
354.0ms3637×body320valid
284.0ms16206×pre80true
250.0ms8206×body80nan
190.0ms2959×body160valid
66.0ms506×body640valid
30.0ms898×body80valid