Details

Time bar (total: 3.9s)

sample41.0ms

Algorithm
intervals
Results
22.0ms598×body80valid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.0b

Counts
2 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
18.6b
(/ (* x x) (* y y))

rewrite9.0ms

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:
1.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
7.0ms
(/ (* x x) (* y y))

series140.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
30.0ms
(/ (* x x) (* y y))

simplify100.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune108.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New34539
Fresh011
Picked101
Done000
Total35641

Merged error: 0.1b

Counts
41 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

rewrite6.0ms

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:
5.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series144.0ms

Counts
1 → 3
Calls
1 calls:
144.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify67.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0102250
1349202
21559176
35001171

prune92.0ms

Filtered
32 candidates to 20 candidates (62.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New28432
Fresh235
Picked011
Done000
Total30838

Merged error: 0.1b

Counts
38 → 8

localize11.0ms

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)
1.9b
(sqrt (hypot (/ z t) (/ x y)))
1.9b
(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:
10.0ms
(* (pow (sqrt (hypot (/ z t) (/ x y))) 3) (sqrt (hypot (/ z t) (/ x y))))
3.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
2.0ms
(sqrt (hypot (/ z t) (/ x y)))
2.0ms
(sqrt (hypot (/ z t) (/ x y)))

series503.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(* (pow (sqrt (hypot (/ z t) (/ x y))) 3) (sqrt (hypot (/ z t) (/ x y))))
178.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
89.0ms
(sqrt (hypot (/ z t) (/ x y)))
90.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify62.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0215950
11012800
25001720

prune334.0ms

Filtered
128 candidates to 72 candidates (56.3%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1208128
Fresh246
Picked011
Done011
Total12214136

Merged error: 0.0b

Counts
136 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (pow (sqrt (hypot (/ z t) (/ x y))) 3/2) (hypot (/ z t) (/ x y))) (sqrt (sqrt (hypot (/ z t) (/ x y)))))
0.4b
(pow (sqrt (hypot (/ z t) (/ x y))) 3/2)
1.9b
(sqrt (hypot (/ z t) (/ x y)))
1.9b
(sqrt (hypot (/ z t) (/ x y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-prod
15×add-exp-log
14×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×pow1
9×associate-*r* add-cbrt-cube
7×prod-exp
6×unpow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2 cbrt-unprod
2×pow-to-exp rem-sqrt-square pow-exp
1×associate-*l* pow-prod-down *-commutative sqrt-pow2 sqr-pow
Counts
4 → 82
Calls
4 calls:
10.0ms
(* (* (pow (sqrt (hypot (/ z t) (/ x y))) 3/2) (hypot (/ z t) (/ x y))) (sqrt (sqrt (hypot (/ z t) (/ x y)))))
4.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3/2)
2.0ms
(sqrt (hypot (/ z t) (/ x y)))
2.0ms
(sqrt (hypot (/ z t) (/ x y)))

series523.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (* (pow (sqrt (hypot (/ z t) (/ x y))) 3/2) (hypot (/ z t) (/ x y))) (sqrt (sqrt (hypot (/ z t) (/ x y)))))
201.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3/2)
88.0ms
(sqrt (hypot (/ z t) (/ x y)))
89.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0286872
11264781
25001757

prune297.0ms

Filtered
94 candidates to 63 candidates (67.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New89594
Fresh4711
Picked101
Done202
Total9612108

Merged error: 0.0b

Counts
108 → 12

regimes353.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02022
12022

end0.0ms

sample980.0ms

Algorithm
intervals
Results
578.0ms15683×body80valid