Details

Time bar (total: 4.0s)

sample34.0ms

Algorithm
intervals
Results
15.0ms481×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 19.7b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.9b
(/ (* x x) (* y y))

rewrite14.0ms

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)))
12.0ms
(/ (* x x) (* y y))

series118.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
26.0ms
(/ (* x x) (* y y))

simplify81.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune84.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(hypot (/ z t) (/ x y))
0.0b
(hypot (/ z t) (/ x y))
0.5b
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

rewrite9.0ms

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:
0.0ms
(hypot (/ z t) (/ x y))
0.0ms
(hypot (/ z t) (/ x y))
7.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series286.0ms

Counts
3 → 9
Calls
3 calls:
83.0ms
(hypot (/ z t) (/ x y))
82.0ms
(hypot (/ z t) (/ x y))
121.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0104364
1351302
21561276
35001271

prune147.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))) (hypot (/ z t) (/ x y)))
0.5b
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
2.2b
(sqrt (hypot (/ z t) (/ x y)))
2.2b
(sqrt (hypot (/ z t) (/ x y)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
31×add-sqr-sqrt
24×sqrt-prod
22×sqrt-pow1 pow1/2
19×pow-prod-up
15×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
9×swap-sqr associate-*r*
7×pow-plus associate-*l* pow-sqr
6×pow-prod-down
5×unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-unprod
2×rem-sqrt-square *-commutative
1×pow2 hypot-udef rem-square-sqrt
Counts
4 → 116
Calls
4 calls:
34.0ms
(* (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))) (hypot (/ z t) (/ x y)))
13.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
1.0ms
(sqrt (hypot (/ z t) (/ x y)))
2.0ms
(sqrt (hypot (/ z t) (/ x y)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(* (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))) (hypot (/ z t) (/ x y)))
83.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
85.0ms
(sqrt (hypot (/ z t) (/ x y)))
78.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0218819
1869648
25002607

prune234.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
2.2b
(sqrt (hypot (/ z t) (/ x y)))
2.2b
(sqrt (hypot (/ z t) (/ x y)))
6.1b
(cbrt (pow (sqrt (hypot (/ z t) (/ x y))) 3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod add-sqr-sqrt sqrt-prod
16×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
8×pow1
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×cube-mult rem-sqrt-square unpow3 sqr-pow
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 93
Calls
4 calls:
4.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
1.0ms
(sqrt (hypot (/ z t) (/ x y)))
1.0ms
(sqrt (hypot (/ z t) (/ x y)))
4.0ms
(cbrt (pow (sqrt (hypot (/ z t) (/ x y))) 3))

series402.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
82.0ms
(sqrt (hypot (/ z t) (/ x y)))
79.0ms
(sqrt (hypot (/ z t) (/ x y)))
84.0ms
(cbrt (pow (sqrt (hypot (/ z t) (/ x y))) 3))

simplify144.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0149571
1485548
23062538
35001538

prune230.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.0b

regimes555.0ms

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

sample1.0s

Algorithm
intervals
Results
522.0ms15455×body80valid