Details

Time bar (total: 4.3s)

sample35.0ms

Algorithm
intervals
Results
18.0ms515×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
20.3b
(/ (* x x) (* y y))

rewrite7.0ms

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)))
5.0ms
(/ (* x x) (* y y))

series143.0ms

Counts
2 → 6
Calls
2 calls:
109.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
33.0ms
(/ (* x x) (* y y))

simplify105.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune116.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

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)))

rewrite5.0ms

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))
3.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series303.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(hypot (/ z t) (/ x y))
86.0ms
(hypot (/ z t) (/ x y))
132.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
0104364
1351302
21561276
35001271

prune179.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (hypot (/ z t) (/ x y)) (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))))
0.5b
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
0.8b
(sqrt (hypot (/ z t) (/ x y)))
0.8b
(sqrt (hypot (/ z t) (/ x y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
38×pow1
31×add-sqr-sqrt
24×sqrt-prod
16×sqrt-pow1 pow1/2
15×add-cube-cbrt *-un-lft-identity pow-prod-up
11×add-exp-log add-cbrt-cube
9×swap-sqr associate-*l*
7×associate-*r*
6×pow-prod-down
5×pow-sqr 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 pow-plus rem-square-sqrt
Counts
4 → 110
Calls
4 calls:
14.0ms
(* (hypot (/ z t) (/ x y)) (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))))
7.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
1.0ms
(sqrt (hypot (/ z t) (/ x y)))
1.0ms
(sqrt (hypot (/ z t) (/ x y)))

series408.0ms

Counts
4 → 12
Calls
4 calls:
150.0ms
(* (hypot (/ z t) (/ x y)) (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))))
90.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
84.0ms
(sqrt (hypot (/ z t) (/ x y)))
84.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify247.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0207791
1721625
24379603
35001603

prune297.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt (hypot (/ z t) (/ x y))) (pow (sqrt (hypot (/ z t) (/ x y))) 3))
0.7b
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
0.8b
(sqrt (hypot (/ z t) (/ x y)))
0.8b
(sqrt (hypot (/ z t) (/ x y)))

rewrite24.0ms

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:
16.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (pow (sqrt (hypot (/ z t) (/ x y))) 3))
2.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
1.0ms
(sqrt (hypot (/ z t) (/ x y)))
1.0ms
(sqrt (hypot (/ z t) (/ x y)))

series516.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (pow (sqrt (hypot (/ z t) (/ x y))) 3))
188.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
92.0ms
(sqrt (hypot (/ z t) (/ x y)))
81.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify66.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
02121075
11034804
25002723

prune299.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes398.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0129
1129

end0.0ms

sample977.0ms

Algorithm
intervals
Results
576.0ms15545×body80valid