Details

Time bar (total: 3.2s)

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms256×pre80true

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0236
1526
21176
32406
44786
59476
618446
750016

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.2b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
15.7b
(/ (fma x x (* y y)) (+ x y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
174×times-frac
160×*-un-lft-identity
116×add-sqr-sqrt
78×add-cube-cbrt
22×associate-/r* distribute-lft-out
19×distribute-lft-out-- difference-of-squares
15×associate-/r/
9×add-exp-log add-cbrt-cube
8×div-inv associate-/l*
7×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 expm1-log1p-u frac-2neg clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 168
Calls
2 calls:
30.0ms
(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
10.0ms
(/ (fma x x (* y y)) (+ x y))

series137.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(/ (- x y) (/ (fma x x (* y y)) (+ x y)))
70.0ms
(/ (fma x x (* y y)) (+ x y))

simplify81.0ms

Algorithm
egg-herbie
Counts
174 → 174
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06402000
127371832
250011825

prune322.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (hypot x y) (+ x y))
0.0b
(hypot x y)
0.0b
(hypot x y)
0.0b
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity
19×add-sqr-sqrt
17×times-frac
15×add-exp-log add-cube-cbrt add-cbrt-cube
8×associate-/l*
5×cbrt-undiv div-exp associate-/r*
4×pow1 expm1-log1p-u log1p-expm1-u distribute-lft-out add-log-exp
3×associate-/r/
2×hypot-udef frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l/ distribute-lft-out-- difference-of-squares
1×flip3-- flip3-+ div-sub associate-*r/ flip-- flip-+
Counts
4 → 88
Calls
4 calls:
10.0ms
(/ (hypot x y) (+ x y))
0.0ms
(hypot x y)
0.0ms
(hypot x y)
25.0ms
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))

series279.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (hypot x y) (+ x y))
47.0ms
(hypot x y)
49.0ms
(hypot x y)
94.0ms
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))

simplify36.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0312599
11255519
25001519

prune208.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot x y)
0.0b
(hypot x y)
0.0b
(log (exp (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))))
0.0b
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
11×log-pow
10×exp-prod times-frac
9×add-cube-cbrt
5×pow1 associate-/l*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×log-prod distribute-lft-out-- difference-of-squares
2×hypot-udef div-sub associate-*r/ prod-exp associate-/r/ cbrt-unprod div-inv associate-/l/
1×log-div flip3-- frac-2neg exp-diff rem-log-exp clear-num associate-/r* flip--
Counts
4 → 78
Calls
4 calls:
0.0ms
(hypot x y)
0.0ms
(hypot x y)
22.0ms
(log (exp (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))))
25.0ms
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))

series283.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(hypot x y)
46.0ms
(hypot x y)
93.0ms
(log (exp (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))))
93.0ms
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))

simplify96.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0291612
11065521
24698521
35001520

prune231.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(hypot x y)
0.0b
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
0.0b
(cbrt (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3))
0.0b
(pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3)

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt *-un-lft-identity
26×cbrt-prod
25×times-frac
23×add-exp-log add-cbrt-cube
20×unpow-prod-down cube-prod
16×add-cube-cbrt
8×cbrt-undiv div-exp
6×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r/ associate-/r/ div-inv associate-/l*
4×expm1-log1p-u pow-exp prod-exp cbrt-unprod log1p-expm1-u add-log-exp rem-cube-cbrt
3×pow-unpow
2×cube-div cube-mult unpow3 associate-/l/ sqr-pow
1×pow-to-exp cbrt-div hypot-udef flip3-- pow-pow frac-2neg pow1/3 div-sub clear-num associate-/r* flip-- rem-cbrt-cube
Counts
4 → 127
Calls
4 calls:
0.0ms
(hypot x y)
25.0ms
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
11.0ms
(cbrt (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3))
24.0ms
(pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3)

series360.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(hypot x y)
94.0ms
(/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y))))
114.0ms
(cbrt (pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3))
106.0ms
(pow (/ (- x y) (* (hypot x y) (/ (hypot x y) (+ x y)))) 3)

simplify60.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
04381218
120891140
250011132

prune263.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes42.0ms

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
0129
1129

end0.0ms

sample477.0ms

Algorithm
intervals
Results
213.0ms8000×body80valid
96.0ms8000×pre80true