Details

Time bar (total: 3.5s)

sample56.0ms

Algorithm
intervals
Results
11.0ms111×body320valid
10.0ms533×pre80true
9.0ms277×body80nan
6.0ms88×body160valid
3.0ms20×body640valid
1.0ms37×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0229
1439
2839
31109
41189
51189

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.6b

localize14.0ms

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)
25.6b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite59.0ms

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))
35.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms
(* (* 3.0 a) c)
13.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series262.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(- (* b b) (* (* 3.0 a) c))
109.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.0ms
(* (* 3.0 a) c)
83.0ms
(+ (- 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

prune274.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 2.9b

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

prune25.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.9b

localize8.0ms

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))

rewrite26.0ms

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:
6.0ms
(/ (* a c) b)
8.0ms
(* -1.5 (/ (* a c) b))
9.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series68.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(/ (* a c) b)
28.0ms
(* -1.5 (/ (* a c) b))
21.0ms
(/ (* -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

prune186.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 2.9b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* a c) b)
0.3b
(/ 1 (* 3.0 a))
0.3b
(* -1.5 (/ (* a c) b))
0.4b
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
147×add-exp-log
77×add-cbrt-cube
76×prod-exp
38×div-exp
34×cbrt-unprod
20×cbrt-undiv
15×add-sqr-sqrt
14×pow1 associate-*r*
13×add-cube-cbrt *-un-lft-identity
12×times-frac
10×rec-exp 1-exp
5×pow-prod-down
4×expm1-log1p-u associate-*r/ associate-*l* associate-/r* log1p-expm1-u div-inv associate-/l* add-log-exp
2×pow-flip frac-2neg clear-num *-commutative
1×frac-times associate-*l/ un-div-inv inv-pow unswap-sqr
Counts
4 → 146
Calls
4 calls:
3.0ms
(/ (* a c) b)
4.0ms
(/ 1 (* 3.0 a))
8.0ms
(* -1.5 (/ (* a c) b))
30.0ms
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

series91.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (* a c) b)
17.0ms
(/ 1 (* 3.0 a))
28.0ms
(* -1.5 (/ (* a c) b))
25.0ms
(* (* -1.5 (/ (* a c) b)) (/ 1 (* 3.0 a)))

simplify69.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0578917
13123690
25001679

prune208.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 2.8b

regimes376.0ms

Accuracy

18.2% (2.9b remaining)

Error of 5.7b against oracle of 2.8b and baseline of 6.3b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02727
12727

end0.0ms

sample1.6s

Algorithm
intervals
Results
363.0ms3664×body320valid
302.0ms16177×pre80true
258.0ms8177×body80nan
191.0ms2903×body160valid
65.0ms487×body640valid
31.0ms946×body80valid