Details

Time bar (total: 2.1s)

sample20.0ms

Algorithm
intervals
Results
10.0ms465×body80valid

simplify279.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 3 (6.0ms)

IterNodesCost
0146
1294
2504
3703
4823
51253
62293
73213
83363
94363
107903
1134923
1250013

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize5.0ms

Local error

Found 1 expressions with local error:

0.2b
(fma 3 (* y y) (* x x))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
1×pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube fma-udef log1p-expm1-u add-log-exp
Counts
1 → 10
Calls
1 calls:
0.0ms
(fma 3 (* y y) (* x x))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(fma 3 (* y y) (* x x))

simplify54.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
18452
226752
3108952
4500252

prune31.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 3 (* y y)) (* x x))
0.2b
(* 3 (* y y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
6.0ms
(+ (* 3 (* y y)) (* x x))
6.0ms
(* 3 (* y y))

series58.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ (* 3 (* y y)) (* x x))
26.0ms
(* 3 (* y y))

simplify82.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0173174
1696156
22692148
35001148

prune67.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* 3 y) y) (* x x))
0.2b
(* (* 3 y) y)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
6.0ms
(+ (* (* 3 y) y) (* x x))
6.0ms
(* (* 3 y) y)

series58.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (* (* 3 y) y) (* x x))
24.0ms
(* (* 3 y) y)

simplify128.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
0182172
1899155
24389147
35001145

prune64.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
0.3b
(* (sqrt 3) (* y y))
0.3b
(* (sqrt 3) (* (sqrt 3) (* y y)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-exp-log add-cbrt-cube
12×associate-*l*
9×add-sqr-sqrt pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity sqrt-prod
5×add-log-exp
3×expm1-log1p-u log1p-expm1-u
2×associate-*r* *-commutative unswap-sqr
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 65
Calls
3 calls:
22.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
8.0ms
(* (sqrt 3) (* y y))
22.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))

series185.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (* (sqrt 3) (* (sqrt 3) (* y y))) (* x x))
42.0ms
(* (sqrt 3) (* y y))
68.0ms
(* (sqrt 3) (* (sqrt 3) (* y y)))

simplify150.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0244426
11036342
24577311
35001311

prune130.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes84.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample522.0ms

Algorithm
intervals
Results
310.0ms14346×body80valid