Details

Time bar (total: 3.6s)

sample32.0ms

Algorithm
intervals
Results
16.0ms458×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
20.1b
(/ (* 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)))
6.0ms
(/ (* x x) (* y y))

series132.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
32.0ms
(/ (* x x) (* y y))

simplify85.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune103.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
0.3b
(* (fabs (/ x y)) (fabs (/ x y)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube
3×swap-sqr associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×pow2 pow-plus pow-prod-down prod-exp pow-sqr *-commutative pow-prod-up cbrt-unprod fma-udef unswap-sqr
Counts
2 → 37
Calls
2 calls:
0.0ms
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
3.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

series39.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(fma (/ z t) (/ z t) (* (fabs (/ x y)) (fabs (/ x y))))
8.0ms
(* (fabs (/ x y)) (fabs (/ x y)))

simplify56.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 3 (52.0ms)

IterNodesCost
097283
1337224
21501214
35002208

prune120.0ms

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) (fabs (/ x y)))
0.0b
(hypot (/ z t) (fabs (/ x y)))
0.4b
(* (hypot (/ z t) (fabs (/ x y))) (hypot (/ z t) (fabs (/ 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) (fabs (/ x y)))
0.0ms
(hypot (/ z t) (fabs (/ x y)))
3.0ms
(* (hypot (/ z t) (fabs (/ x y))) (hypot (/ z t) (fabs (/ x y))))

series154.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(hypot (/ z t) (fabs (/ x y)))
44.0ms
(hypot (/ z t) (fabs (/ x y)))
62.0ms
(* (hypot (/ z t) (fabs (/ x y))) (hypot (/ z t) (fabs (/ x y))))

simplify55.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
095450
1328370
21410335
35001329

prune188.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (hypot (/ z t) (fabs (/ x y))) (* (sqrt (hypot (/ z t) (fabs (/ x y)))) (sqrt (hypot (/ z t) (fabs (/ x y))))))
0.5b
(* (sqrt (hypot (/ z t) (fabs (/ x y)))) (sqrt (hypot (/ z t) (fabs (/ x y)))))
1.9b
(sqrt (hypot (/ z t) (fabs (/ x y))))
1.9b
(sqrt (hypot (/ z t) (fabs (/ 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) (fabs (/ x y))) (* (sqrt (hypot (/ z t) (fabs (/ x y)))) (sqrt (hypot (/ z t) (fabs (/ x y))))))
7.0ms
(* (sqrt (hypot (/ z t) (fabs (/ x y)))) (sqrt (hypot (/ z t) (fabs (/ x y)))))
1.0ms
(sqrt (hypot (/ z t) (fabs (/ x y))))
1.0ms
(sqrt (hypot (/ z t) (fabs (/ x y))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (hypot (/ z t) (fabs (/ x y))) (* (sqrt (hypot (/ z t) (fabs (/ x y)))) (sqrt (hypot (/ z t) (fabs (/ x y))))))
49.0ms
(* (sqrt (hypot (/ z t) (fabs (/ x y)))) (sqrt (hypot (/ z t) (fabs (/ x y)))))
56.0ms
(sqrt (hypot (/ z t) (fabs (/ x y))))
59.0ms
(sqrt (hypot (/ z t) (fabs (/ x y))))

simplify224.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0195962
1690755
24253729
35002729

prune269.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.0b

regimes619.0ms

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
099

end0.0ms

sample1.2s

Algorithm
intervals
Results
783.0ms15745×body80valid