Details

Time bar (total: 4.2s)

sample36.0ms

Algorithm
intervals
Results
16.0ms486×body80valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.3b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
23.1b
(/ (* x x) (* y y))

rewrite19.0ms

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)))
18.0ms
(/ (* x x) (* y y))

series125.0ms

Counts
2 → 6
Calls
2 calls:
98.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
27.0ms
(/ (* x x) (* y y))

simplify105.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune108.0ms

Pruning

6 alts after pruning (6 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)))

rewrite10.0ms

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))
8.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series280.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(hypot (/ z t) (/ x y))
80.0ms
(hypot (/ z t) (/ x y))
124.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0104364
1351302
21561276
35001271

prune183.0ms

Pruning

13 alts after pruning (12 fresh and 1 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)))))
0.4b
(* (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)))

rewrite50.0ms

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:
28.0ms
(* (hypot (/ z t) (/ x y)) (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (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)))
4.0ms
(sqrt (hypot (/ z t) (/ x y)))

series371.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(* (hypot (/ z t) (/ x y)) (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))))
80.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
82.0ms
(sqrt (hypot (/ z t) (/ x y)))
80.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify247.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0207791
1721625
24379603
35001603

prune296.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (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)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
75×sqrt-prod
52×add-sqr-sqrt
35×sqrt-pow1
30×pow1
19×add-cube-cbrt *-un-lft-identity pow1/2
15×swap-sqr
9×associate-*r* associate-*l* pow-prod-up unswap-sqr
6×add-exp-log add-cbrt-cube
5×pow-prod-down pow-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×rem-sqrt-square
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 122
Calls
4 calls:
24.0ms
(* (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)))
2.0ms
(sqrt (hypot (/ z t) (/ x y)))

series322.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (sqrt (sqrt (hypot (/ z t) (/ x y)))) (sqrt (sqrt (hypot (/ z t) (/ x y)))))
81.0ms
(sqrt (hypot (/ z t) (/ x y)))
75.0ms
(sqrt (hypot (/ z t) (/ x y)))
82.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify176.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 3 (165.0ms)

IterNodesCost
0136794
1505727
22977706
35001679

prune316.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.0b

regimes369.0ms

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
520.0ms15501×body80valid