Details

Time bar (total: 3.5s)

sample35.0ms

Algorithm
intervals
Results
16.0ms493×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
22.7b
(/ (* x x) (* y y))

rewrite16.0ms

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)))
14.0ms
(/ (* x x) (* y y))

series122.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
30.0ms
(/ (* x x) (* y y))

simplify89.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune93.0ms

Pruning

7 alts after pruning (7 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)))

rewrite10.0ms

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:
10.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series118.0ms

Counts
1 → 3
Calls
1 calls:
118.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0102250
1349202
21559176
35001171

prune91.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (hypot (/ z t) (/ x y))) (pow (sqrt (hypot (/ z t) (/ x y))) 3))
0.6b
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
3.0b
(sqrt (hypot (/ z t) (/ x y)))
3.0b
(sqrt (hypot (/ z t) (/ x y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
31×sqrt-prod
18×add-cube-cbrt *-un-lft-identity associate-*r*
16×unpow-prod-down cube-prod
12×unswap-sqr
10×add-exp-log
9×pow1
7×add-cbrt-cube
6×associate-*l*
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×*-commutative pow-prod-up sqrt-pow2 cbrt-unprod rem-cube-cbrt
Counts
4 → 115
Calls
4 calls:
22.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (pow (sqrt (hypot (/ z t) (/ x y))) 3))
4.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
1.0ms
(sqrt (hypot (/ z t) (/ x y)))
2.0ms
(sqrt (hypot (/ z t) (/ x y)))

series434.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (pow (sqrt (hypot (/ z t) (/ x y))) 3))
152.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
73.0ms
(sqrt (hypot (/ z t) (/ x y)))
80.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify59.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
02121075
11034804
25002723

prune303.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (sqrt (hypot (/ z t) (/ x y))) (pow (hypot (/ z t) (/ x y)) 3/2))
0.3b
(pow (hypot (/ z t) (/ x y)) 3/2)
3.0b
(sqrt (hypot (/ z t) (/ x y)))

rewrite24.0ms

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-*r*
6×pow1 associate-*l* 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:
17.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (pow (hypot (/ z t) (/ x y)) 3/2))
3.0ms
(pow (hypot (/ z t) (/ x y)) 3/2)
2.0ms
(sqrt (hypot (/ z t) (/ x y)))

series320.0ms

Counts
3 → 9
Calls
3 calls:
123.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (pow (hypot (/ z t) (/ x y)) 3/2))
120.0ms
(pow (hypot (/ z t) (/ x y)) 3/2)
76.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify127.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (119.0ms)

IterNodesCost
0214656
1746622
23547608
35001540

prune196.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes298.0ms

Accuracy

0% (0.5b 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
01113
11113

end0.0ms

sample1.0s

Algorithm
intervals
Results
505.0ms15549×body80valid