Details

Time bar (total: 4.3s)

sample34.0ms

Algorithm
intervals
Results
19.0ms487×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune7.0ms

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: 19.6b

Counts
2 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
20.9b
(/ (* x x) (* y y))

rewrite8.0ms

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)))
6.0ms
(/ (* x x) (* y y))

series133.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
27.0ms
(/ (* x x) (* y y))

simplify96.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune101.0ms

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: 0.2b

Counts
41 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot (/ z t) (/ x y))
0.0b
(hypot (/ z t) (/ x y))
0.4b
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×hypot-udef
5×add-exp-log add-cbrt-cube
3×expm1-log1p-u swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod pow-prod-down prod-exp rem-square-sqrt pow-sqr *-commutative pow-prod-up cbrt-unprod unswap-sqr
Counts
3 → 49
Calls
3 calls:
1.0ms
(hypot (/ z t) (/ x y))
1.0ms
(hypot (/ z t) (/ x y))
4.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series314.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(hypot (/ z t) (/ x y))
83.0ms
(hypot (/ z t) (/ x y))
148.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify61.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (56.0ms)

IterNodesCost
0104364
1351302
21561276
35001271

prune172.0ms

Filtered
58 candidates to 44 candidates (75.9%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New51758
Fresh235
Picked011
Done000
Total531164

Merged error: 0.1b

Counts
64 → 11

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot (/ z t) (/ x y))
0.8b
(pow (sqrt (hypot (/ z t) (/ x y))) 4)
1.6b
(sqrt (hypot (/ z t) (/ x y)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×pow1 unpow-prod-down sqrt-prod
4×add-exp-log
3×expm1-log1p-u pow-unpow pow-pow add-cbrt-cube log1p-expm1-u add-log-exp
2×sqrt-pow1 pow1/2
1×pow-to-exp rem-sqrt-square hypot-udef pow-exp sqrt-pow2 sqr-pow
Counts
3 → 50
Calls
3 calls:
1.0ms
(hypot (/ z t) (/ x y))
3.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 4)
2.0ms
(sqrt (hypot (/ z t) (/ x y)))

series428.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(hypot (/ z t) (/ x y))
260.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 4)
87.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify99.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0125317
1376268
21605256
35002256

prune198.0ms

Filtered
59 candidates to 43 candidates (72.9%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New57259
Fresh099
Picked011
Done011
Total571370

Merged error: 0.1b

Counts
70 → 13

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)
1.6b
(sqrt (hypot (/ z t) (/ x y)))
1.6b
(sqrt (hypot (/ z t) (/ x y)))

rewrite19.0ms

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)
2.0ms
(sqrt (hypot (/ z t) (/ x y)))
2.0ms
(sqrt (hypot (/ z t) (/ x y)))

series467.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (pow (sqrt (hypot (/ z t) (/ x y))) 3) (sqrt (hypot (/ z t) (/ x y))))
167.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
86.0ms
(sqrt (hypot (/ z t) (/ x y)))
86.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify64.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0215950
11012800
25001720

prune294.0ms

Filtered
128 candidates to 72 candidates (56.3%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1199128
Fresh4610
Picked101
Done022
Total12417141

Merged error: 0.0b

Counts
141 → 17

regimes761.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087

end0.0ms

sample955.0ms

Algorithm
intervals
Results
562.0ms15612×body80valid