Details

Time bar (total: 1.9s)

sample15.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1143
2173
3183
4183

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ (* x 100.0) (+ x y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 expm1-log1p-u frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 27
Calls
1 calls:
6.0ms
(/ (* x 100.0) (+ x y))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(/ (* x 100.0) (+ x y))

simplify68.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0155130
1718110
23170110
35002110

prune50.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 100.0 (+ x y))
0.1b
(* x (/ 100.0 (+ x y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
18×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/r* associate-/r/
3×associate-*l* associate-/l*
2×cbrt-undiv expm1-log1p-u flip3-+ div-exp prod-exp cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 74
Calls
2 calls:
5.0ms
(/ 100.0 (+ x y))
18.0ms
(* x (/ 100.0 (+ x y)))

series86.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 100.0 (+ x y))
46.0ms
(* x (/ 100.0 (+ x y)))

simplify93.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0228347
11038318
24106318
35002318

prune117.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt 100.0) (+ x y))
0.5b
(* (* (sqrt 100.0) x) (/ (sqrt 100.0) (+ x y)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
48×times-frac
34×add-sqr-sqrt add-cube-cbrt
30×associate-*r*
27×sqrt-prod
16×add-exp-log add-cbrt-cube
13×distribute-lft-out
7×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r* associate-/r/
3×cbrt-undiv div-exp pow-prod-down
2×expm1-log1p-u flip3-+ flip-+ log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
6.0ms
(/ (sqrt 100.0) (+ x y))
24.0ms
(* (* (sqrt 100.0) x) (/ (sqrt 100.0) (+ x y)))

series198.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (sqrt 100.0) (+ x y))
126.0ms
(* (* (sqrt 100.0) x) (/ (sqrt 100.0) (+ x y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0340718
11840658
25002614

prune152.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

5.2b
(- (* x x) (* y y))
8.0b
(* (/ (* x 100.0) (- (* x x) (* y y))) (- x y))
24.6b
(/ (* x 100.0) (- (* x x) (* y y)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×*-un-lft-identity
20×add-cube-cbrt
19×prod-diff
17×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
10×associate-*l*
8×times-frac
5×pow1 flip3-- associate-*r* prod-exp flip-- cbrt-unprod add-log-exp difference-of-squares
4×cbrt-undiv div-exp associate-/r* associate-/r/
3×expm1-log1p-u sub-neg log1p-expm1-u
2×frac-times associate-*r/ div-inv
1×frac-2neg fma-neg diff-log pow-prod-down associate-*l/ clear-num *-commutative associate-/l* distribute-lft-out-- unswap-sqr
Counts
3 → 104
Calls
3 calls:
3.0ms
(- (* x x) (* y y))
27.0ms
(* (/ (* x 100.0) (- (* x x) (* y y))) (- x y))
6.0ms
(/ (* x 100.0) (- (* x x) (* y y)))

series162.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- (* x x) (* y y))
75.0ms
(* (/ (* x 100.0) (- (* x x) (* y y))) (- x y))
56.0ms
(/ (* x 100.0) (- (* x x) (* y y)))

simplify81.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05201148
13048918
25002913

prune175.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes43.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample388.0ms

Algorithm
intervals
Results
264.0ms8000×body80valid