Details

Time bar (total: 4.1s)

sample37.0ms

Algorithm
intervals
Results
20.0ms488×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune8.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 18.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
20.5b
(/ (* 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))

series136.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
29.0ms
(/ (* x x) (* y y))

simplify94.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune113.0ms

Filtered
39 candidates to 26 candidates (66.7%)
Pruning

8 alts after pruning (8 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))
0.5b
(* (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))
4.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series313.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(hypot (/ z t) (/ x y))
85.0ms
(hypot (/ z t) (/ x y))
141.0ms
(* (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

prune186.0ms

Filtered
58 candidates to 44 candidates (75.9%)
Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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))))
1.3b
(sqrt (hypot (/ z t) (/ x y)))
1.3b
(sqrt (hypot (/ z t) (/ x y)))

rewrite30.0ms

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:
18.0ms
(* (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)))

series394.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (hypot (/ z t) (/ x y)) (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))))
88.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
88.0ms
(sqrt (hypot (/ z t) (/ x y)))
83.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify238.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0207791
1721625
24379603
35001603

prune294.0ms

Filtered
122 candidates to 68 candidates (55.7%)
Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (hypot (/ z t) (/ x y))) (* (sqrt (sqrt (hypot (/ z t) (/ x y)))) (sqrt (sqrt (hypot (/ z t) (/ x y))))))
1.3b
(sqrt (hypot (/ z t) (/ x y)))
1.3b
(sqrt (hypot (/ z t) (/ x y)))
1.3b
(sqrt (hypot (/ z t) (/ x y)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
54×sqrt-pow1
45×pow1
30×pow1/2 pow-prod-up
16×add-sqr-sqrt
14×sqrt-prod
9×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
7×pow-prod-down
6×associate-*l* pow-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square prod-exp cbrt-unprod
2×sqrt-unprod swap-sqr unswap-sqr
1×associate-*r* *-commutative
Counts
4 → 93
Calls
4 calls:
32.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (* (sqrt (sqrt (hypot (/ z t) (/ x y)))) (sqrt (sqrt (hypot (/ z t) (/ x y))))))
1.0ms
(sqrt (hypot (/ z t) (/ x y)))
1.0ms
(sqrt (hypot (/ z t) (/ x y)))
1.0ms
(sqrt (hypot (/ z t) (/ x y)))

series347.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (* (sqrt (sqrt (hypot (/ z t) (/ x y)))) (sqrt (sqrt (hypot (/ z t) (/ x y))))))
83.0ms
(sqrt (hypot (/ z t) (/ x y)))
88.0ms
(sqrt (hypot (/ z t) (/ x y)))
82.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify95.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0186544
1445441
21305432
35002432

prune267.0ms

Filtered
105 candidates to 64 candidates (61.0%)
Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

regimes349.0ms

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
575.0ms15444×body80valid