Details

Time bar (total: 4.1s)

sample89.0ms

Algorithm
intervals
Results
21.0ms121×body320valid
16.0ms272×body80nan
15.0ms528×pre80true
15.0ms97×body160valid
4.0ms16×body640valid
1.0ms22×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: 54.2b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 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)
27.7b
(+ (- 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))
36.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
6.0ms
(* (* 3.0 a) c)
12.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series261.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* b b) (* (* 3.0 a) c))
108.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms
(* (* 3.0 a) c)
83.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify62.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0449785
12075672
25002663

prune251.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.2b

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

prune17.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 2.2b

localize11.0ms

Local error

Found 3 expressions with local error:

0.2b
(* -1.5 (/ (* a c) b))
0.3b
(/ (* 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:
8.0ms
(* -1.5 (/ (* a c) b))
3.0ms
(/ (* a c) b)
8.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

series73.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* -1.5 (/ (* a c) b))
19.0ms
(/ (* a c) b)
21.0ms
(/ (* -1.5 (/ (* a c) b)) (* 3.0 a))

simplify61.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0383531
12513389
25002389

prune168.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 2.2b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
23×prod-exp cbrt-unprod
16×cbrt-undiv div-exp
13×associate-*r*
10×times-frac
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×pow1
3×pow-prod-down
2×expm1-log1p-u associate-*r/ log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*l* clear-num associate-/r* *-commutative associate-/l/ associate-/l*
Counts
2 → 71
Calls
2 calls:
10.0ms
(* (* a -1.5) (/ c b))
10.0ms
(/ (* (* a -1.5) (/ c b)) (* 3.0 a))

series53.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* (* a -1.5) (/ c b))
21.0ms
(/ (* (* a -1.5) (/ c b)) (* 3.0 a))

simplify71.0ms

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0436520
12966364
25003364

prune101.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 2.2b

regimes285.0ms

Accuracy

0% (3.4b remaining)

Error of 6.1b against oracle of 2.7b and baseline of 6.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062
162

end0.0ms

sample2.5s

Algorithm
intervals
Results
614.0ms3612×body320valid
490.0ms8153×body80nan
472.0ms16153×pre80true
353.0ms2946×body160valid
125.0ms539×body640valid
61.0ms903×body80valid