Details

Time bar (total: 3.6s)

sample36.0ms

Algorithm
intervals
Results
18.0ms524×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune11.0ms

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: 20.8b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
22.9b
(/ (* 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))

series134.0ms

Counts
2 → 6
Calls
2 calls:
106.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
27.0ms
(/ (* x x) (* y y))

simplify89.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune102.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New32739
Fresh101
Picked101
Done000
Total34741

Merged error: 0.2b

Counts
41 → 7

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

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:
4.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series125.0ms

Counts
1 → 3
Calls
1 calls:
125.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify54.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0102250
1349202
21559176
35001171

prune90.0ms

Filtered
32 candidates to 20 candidates (62.5%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New26632
Fresh156
Picked011
Done000
Total271239

Merged error: 0.1b

Counts
39 → 12

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))))
0.6b
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
1.8b
(sqrt (hypot (/ z t) (/ x y)))
1.8b
(sqrt (hypot (/ z t) (/ x y)))

rewrite18.0ms

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:
9.0ms
(* (pow (sqrt (hypot (/ z t) (/ x y))) 3) (sqrt (hypot (/ z t) (/ x y))))
3.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
1.0ms
(sqrt (hypot (/ z t) (/ x y)))
1.0ms
(sqrt (hypot (/ z t) (/ x y)))

series446.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(* (pow (sqrt (hypot (/ z t) (/ x y))) 3) (sqrt (hypot (/ z t) (/ x y))))
159.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
73.0ms
(sqrt (hypot (/ z t) (/ x y)))
82.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0215950
11012800
25001720

prune294.0ms

Filtered
128 candidates to 71 candidates (55.5%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New11711128
Fresh3710
Picked101
Done101
Total12218140

Merged error: 0.0b

Counts
140 → 18

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (pow (hypot (/ z t) (/ x y)) 3/2) (sqrt (hypot (/ z t) (/ x y))))
0.4b
(pow (hypot (/ z t) (/ x y)) 3/2)
1.8b
(sqrt (hypot (/ z t) (/ x y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log sqrt-prod
8×unpow-prod-down
7×associate-*l*
6×pow1 associate-*r* unswap-sqr
5×add-cbrt-cube
4×sqr-pow
3×expm1-log1p-u pow-unpow prod-exp log1p-expm1-u add-log-exp
2×pow-to-exp sqrt-pow1 pow1/2 pow-exp pow-prod-up
1×rem-sqrt-square hypot-udef pow-pow *-commutative sqrt-pow2 cbrt-unprod
Counts
3 → 70
Calls
3 calls:
6.0ms
(* (pow (hypot (/ z t) (/ x y)) 3/2) (sqrt (hypot (/ z t) (/ x y))))
2.0ms
(pow (hypot (/ z t) (/ x y)) 3/2)
1.0ms
(sqrt (hypot (/ z t) (/ x y)))

series353.0ms

Counts
3 → 9
Calls
3 calls:
136.0ms
(* (pow (hypot (/ z t) (/ x y)) 3/2) (sqrt (hypot (/ z t) (/ x y))))
130.0ms
(pow (hypot (/ z t) (/ x y)) 3/2)
86.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify121.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0217648
1763617
24091603
35002571

prune194.0ms

Filtered
79 candidates to 56 candidates (70.9%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New73679
Fresh61117
Picked101
Done000
Total801797

Merged error: 0b

Counts
97 → 17

regimes416.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01516
11516

end0.0ms

sample962.0ms

Algorithm
intervals
Results
561.0ms15560×body80valid