Details

Time bar (total: 2.8s)

sample29.0ms

Algorithm
intervals
Results
17.0ms443×body80valid

simplify277.0ms

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

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

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
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))

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(fma 3 (* y y) (* x x))

simplify52.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03359
18452
226752
3108952
4500252

prune48.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-log-exp
add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 35
Calls
2 calls:
19.0ms
(+ (* 3 (* y y)) (* x x))
16.0ms
(* 3 (* y y))

series53.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ (* 3 (* y y)) (* x x))
23.0ms
(* 3 (* y y))

simplify80.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0173174
1696156
22692148
35001148

prune93.0ms

Pruning

6 alts after pruning (5 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)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-log-exp
add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u log1p-expm1-u
+-commutative fma-def flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 34
Calls
2 calls:
18.0ms
(+ (* (* 3 y) y) (* x x))
16.0ms
(* (* 3 y) y)

series52.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(+ (* (* 3 y) y) (* x x))
23.0ms
(* (* 3 y) y)

simplify123.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 3 (120.0ms)

IterNodesCost
0182172
1899155
24389147
35001145

prune121.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3 y) y)
0.2b
(* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))
4.6b
(sqrt (+ (* (* 3 y) y) (* x x)))
4.6b
(sqrt (+ (* (* 3 y) y) (* x x)))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×pow1
24×sqrt-prod
16×sqrt-div
15×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2
associate-*r*
flip3-+ swap-sqr flip-+
associate-*l*
pow-prod-down
pow-prod-up
expm1-log1p-u frac-times prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
pow-sqr
rem-sqrt-square associate-*r/ associate-*l/ *-commutative
pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 113
Calls
4 calls:
16.0ms
(* (* 3 y) y)
111.0ms
(* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))
22.0ms
(sqrt (+ (* (* 3 y) y) (* x x)))
24.0ms
(sqrt (+ (* (* 3 y) y) (* x x)))

series153.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* 3 y) y)
31.0ms
(* (sqrt (+ (* (* 3 y) y) (* x x))) (sqrt (+ (* (* 3 y) y) (* x x))))
52.0ms
(sqrt (+ (* (* 3 y) y) (* x x)))
48.0ms
(sqrt (+ (* (* 3 y) y) (* x x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0271912
11281825
25001786

prune406.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes131.0ms

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

sample786.0ms

Algorithm
intervals
Results
559.0ms14201×body80valid