Details

Time bar (total: 2.7s)

sample28.0ms

Algorithm
intervals
Results
19.0ms367×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0143
1333
2733
31123
41293
51313
61313

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (* x (- x y)) 2.0)
0.0b
(* x (- x y))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×*-un-lft-identity
18×prod-diff
17×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×pow1 add-exp-log add-cbrt-cube
8×associate-*r*
4×associate-*r/ associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u sub-neg flip3-- associate-*l/ *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 68
Calls
2 calls:
14.0ms
(* (* x (- x y)) 2.0)
12.0ms
(* x (- x y))

series86.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (* x (- x y)) 2.0)
35.0ms
(* x (- x y))

simplify42.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0268469
11243316
25001310

prune85.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(* x (* (- x y) 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r/ associate-*l/
1×expm1-log1p-u flip3-- associate-*r* *-commutative flip-- log1p-expm1-u add-log-exp
Counts
1 → 22
Calls
1 calls:
13.0ms
(* x (* (- x y) 2.0))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (* (- x y) 2.0))

simplify80.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0144117
155895
2317695
3500295

prune43.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (- x y))
0.1b
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
5.1b
(sqrt (* x (- x y)))
5.1b
(sqrt (* x (- x y)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
28×add-sqr-sqrt
24×*-un-lft-identity
23×pow-prod-down
22×add-cube-cbrt
20×associate-*r/
18×prod-diff
16×sqrt-div
12×pow1/2
11×distribute-rgt-in distribute-lft-in
10×pow-prod-up
9×flip3-- associate-*r* flip--
8×add-exp-log add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×expm1-log1p-u frac-times swap-sqr log1p-expm1-u add-log-exp
2×sub-neg associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 135
Calls
4 calls:
12.0ms
(* x (- x y))
26.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
10.0ms
(sqrt (* x (- x y)))
10.0ms
(sqrt (* x (- x y)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* x (- x y))
38.0ms
(* (sqrt (* x (- x y))) (sqrt (* x (- x y))))
64.0ms
(sqrt (* x (- x y)))
63.0ms
(sqrt (* x (- x y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0325758
11442611
25002593

prune229.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (* (- x y) 2.0))
0.3b
(* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))
5.1b
(sqrt (* x (* (- x y) 2.0)))
5.1b
(sqrt (* x (* (- x y) 2.0)))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
20×associate-*r/ associate-*l/
17×pow-prod-up
16×sqrt-div
14×pow1/2
11×add-exp-log add-sqr-sqrt pow-sqr add-cbrt-cube
9×add-cube-cbrt flip3-- *-un-lft-identity flip--
7×associate-*l*
6×sqrt-prod
5×associate-*r*
4×expm1-log1p-u frac-times swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×*-commutative
1×pow2 pow-plus sqrt-unprod rem-square-sqrt unswap-sqr
Counts
4 → 130
Calls
4 calls:
14.0ms
(* x (* (- x y) 2.0))
81.0ms
(* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))
11.0ms
(sqrt (* x (* (- x y) 2.0)))
11.0ms
(sqrt (* x (* (- x y) 2.0)))

series466.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* x (* (- x y) 2.0))
118.0ms
(* (sqrt (* x (* (- x y) 2.0))) (sqrt (* x (* (- x y) 2.0))))
151.0ms
(sqrt (* x (* (- x y) 2.0)))
146.0ms
(sqrt (* x (* (- x y) 2.0)))

simplify53.0ms

Algorithm
egg-herbie
Counts
142 → 142
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0328714
11460635
25001593

prune204.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes28.0ms

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
083
183

end0.0ms

sample765.0ms

Algorithm
intervals
Results
596.0ms11168×body80valid