Details

Time bar (total: 3.3s)

sample35.0ms

Algorithm
intervals
Results
19.0ms504×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
22.4b
(/ (* x x) (* y y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp prod-exp cbrt-unprod
2×pow1 add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity log1p-expm1-u add-log-exp
1×frac-2neg times-frac clear-num associate-/r* fma-udef div-inv associate-/l*
Counts
2 → 33
Calls
2 calls:
0.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
6.0ms
(/ (* x x) (* y y))

series119.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
25.0ms
(/ (* x x) (* y y))

simplify81.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune94.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 1 expressions with local error:

0.4b
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1
7×add-sqr-sqrt
5×add-cube-cbrt *-un-lft-identity
4×hypot-udef
3×add-exp-log swap-sqr associate-*r* associate-*l* add-cbrt-cube
1×pow2 expm1-log1p-u pow-plus sqrt-unprod pow-prod-down prod-exp rem-square-sqrt pow-sqr *-commutative pow-prod-up cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 29
Calls
1 calls:
3.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series119.0ms

Counts
1 → 3
Calls
1 calls:
119.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (47.0ms)

IterNodesCost
0102250
1349202
21559176
35001171

prune85.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

0.7b
(pow (sqrt (hypot (/ z t) (/ x y))) 4)
1.1b
(sqrt (hypot (/ z t) (/ x y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×add-cube-cbrt unpow-prod-down *-un-lft-identity sqrt-prod
5×pow1
3×add-exp-log pow-unpow pow-pow
2×expm1-log1p-u sqrt-pow1 pow1/2 add-cbrt-cube log1p-expm1-u add-log-exp
1×pow-to-exp rem-sqrt-square pow-exp sqrt-pow2 sqr-pow
Counts
2 → 40
Calls
2 calls:
2.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 4)
1.0ms
(sqrt (hypot (/ z t) (/ x y)))

series317.0ms

Counts
2 → 6
Calls
2 calls:
240.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 4)
77.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify70.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0105260
1333218
21475211
35001211

prune134.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (pow (sqrt (hypot (/ z t) (/ x y))) 3) (sqrt (hypot (/ z t) (/ x y))))
0.7b
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
1.1b
(sqrt (hypot (/ z t) (/ x y)))
1.1b
(sqrt (hypot (/ z t) (/ x y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
31×sqrt-prod
18×add-cube-cbrt *-un-lft-identity associate-*l*
16×unpow-prod-down cube-prod
12×unswap-sqr
10×add-exp-log
9×pow1
7×add-cbrt-cube
6×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp sqr-pow
3×pow-unpow pow-pow sqrt-pow1 pow1/2 prod-exp
2×cube-mult pow-to-exp rem-sqrt-square unpow3 pow-exp
1×pow-plus *-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 116
Calls
4 calls:
13.0ms
(* (pow (sqrt (hypot (/ z t) (/ x y))) 3) (sqrt (hypot (/ z t) (/ x y))))
2.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
1.0ms
(sqrt (hypot (/ z t) (/ x y)))
1.0ms
(sqrt (hypot (/ z t) (/ x y)))

series414.0ms

Counts
4 → 12
Calls
4 calls:
117.0ms
(* (pow (sqrt (hypot (/ z t) (/ x y))) 3) (sqrt (hypot (/ z t) (/ x y))))
150.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
73.0ms
(sqrt (hypot (/ z t) (/ x y)))
73.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0215950
11012800
25001720

prune371.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes297.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129
1129

end0.0ms

sample990.0ms

Algorithm
intervals
Results
602.0ms15388×body80valid