Details

Time bar (total: 2.1s)

sample18.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
091
1111
2111

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(hypot x y)

rewrite1.0ms

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

series46.0ms

Counts
1 → 3
Calls
1 calls:
46.0ms
(hypot x y)

simplify99.0ms

Algorithm
egg-herbie
Counts
13 → 13
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02227
12524
22924
33424
45324
510724
651324
7168724
8500124

prune28.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (hypot x y))
0.0b
(hypot x y)
0.0b
(hypot x y)
0.5b
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
21×sqrt-prod
20×pow1
13×add-cube-cbrt *-un-lft-identity
9×sqrt-pow1 pow1/2
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube
5×pow-prod-up
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×hypot-udef
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 86
Calls
4 calls:
1.0ms
(sqrt (hypot x y))
0.0ms
(hypot x y)
0.0ms
(hypot x y)
7.0ms
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

series230.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(sqrt (hypot x y))
49.0ms
(hypot x y)
45.0ms
(hypot x y)
49.0ms
(* (sqrt (hypot x y)) (sqrt (hypot x y)))

simplify164.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0164296
1607256
23753243
35001243

prune173.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt (hypot x y)))
0.1b
(sqrt (sqrt (hypot x y)))
0.2b
(* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y))))
0.7b
(pow (sqrt (sqrt (hypot x y))) 3)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
107×sqrt-prod
74×add-sqr-sqrt
27×unpow-prod-down cube-prod
25×add-cube-cbrt *-un-lft-identity
24×associate-*l* unswap-sqr
12×pow1 sqrt-pow1
10×add-exp-log
9×associate-*r*
7×add-cbrt-cube
6×pow1/2
5×pow-pow sqr-pow
4×expm1-log1p-u rem-sqrt-square log1p-expm1-u add-log-exp
3×pow-unpow prod-exp
2×cube-mult pow-to-exp unpow3 pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 157
Calls
4 calls:
1.0ms
(sqrt (sqrt (hypot x y)))
1.0ms
(sqrt (sqrt (hypot x y)))
19.0ms
(* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y))))
3.0ms
(pow (sqrt (sqrt (hypot x y))) 3)

series410.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(sqrt (sqrt (hypot x y)))
113.0ms
(sqrt (sqrt (hypot x y)))
50.0ms
(* (pow (sqrt (sqrt (hypot x y))) 3) (sqrt (sqrt (hypot x y))))
131.0ms
(pow (sqrt (sqrt (hypot x y))) 3)

simplify61.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
03011159
11379893
25001752

prune288.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
031

end0.0ms

sample479.0ms

Algorithm
intervals
Results
350.0ms8000×body80valid