Details

Time bar (total: 4.2s)

sample104.0ms

Algorithm
intervals
Results
75.0ms531×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
21.5b
(/ (* x x) (* y y))

rewrite6.0ms

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))

series119.0ms

Counts
2 → 6
Calls
2 calls:
94.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
25.0ms
(/ (* x x) (* y y))

simplify90.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune98.0ms

Pruning

8 alts after pruning (8 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))
0.4b
(* (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)))

series266.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(hypot (/ z t) (/ x y))
74.0ms
(hypot (/ z t) (/ x y))
117.0ms
(* (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

prune158.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y)))
0.3b
(* (/ x y) (/ x y))
0.3b
(* (/ z t) (/ z t))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
83×add-sqr-sqrt
80×times-frac
59×add-cube-cbrt *-un-lft-identity
27×add-exp-log add-cbrt-cube
26×swap-sqr associate-*r* associate-*l*
17×pow1
9×frac-add
8×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ prod-exp cbrt-unprod div-inv unswap-sqr
5×add-log-exp
3×expm1-log1p-u log1p-expm1-u
2×pow2 pow-plus pow-prod-down pow-sqr *-commutative pow-prod-up
1×+-commutative fma-def flip3-+ sum-log flip-+
Counts
3 → 161
Calls
3 calls:
8.0ms
(+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y)))
13.0ms
(* (/ x y) (/ x y))
13.0ms
(* (/ z t) (/ z t))

series146.0ms

Counts
3 → 9
Calls
3 calls:
92.0ms
(+ (* (/ z t) (/ z t)) (* (/ x y) (/ x y)))
26.0ms
(* (/ x y) (/ x y))
28.0ms
(* (/ z t) (/ z t))

simplify108.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
08391030
14179903
25001888

prune357.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0b

localize9.0ms

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)))

rewrite27.0ms

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:
13.0ms
(* (hypot (/ z t) (/ x y)) (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))))
9.0ms
(* (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)))

series342.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (hypot (/ z t) (/ x y)) (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))))
78.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
71.0ms
(sqrt (hypot (/ z t) (/ x y)))
74.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify217.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0207801
1805625
24457603
35001603

prune213.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0b

regimes271.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01113
11113

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s15393×body80valid