Details

Time bar (total: 4.0s)

sample45.0ms

Algorithm
intervals
Results
29.0ms484×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: 18.3b

localize11.0ms

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)))
6.0ms
(/ (* x x) (* y y))

series117.0ms

Counts
2 → 6
Calls
2 calls:
92.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
25.0ms
(/ (* x x) (* y y))

simplify84.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune94.0ms

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))
0.3b
(* (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)))

series262.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(hypot (/ z t) (/ x y))
73.0ms
(hypot (/ z t) (/ x y))
114.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify55.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0104364
1351302
21561276
35001271

prune156.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))) (hypot (/ z t) (/ x y)))
0.5b
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
2.2b
(sqrt (hypot (/ z t) (/ x y)))
2.2b
(sqrt (hypot (/ z t) (/ x y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
44×pow1
31×add-sqr-sqrt
24×sqrt-prod
22×sqrt-pow1 pow1/2
19×pow-prod-up
15×add-cube-cbrt *-un-lft-identity
11×add-exp-log add-cbrt-cube
9×swap-sqr associate-*r*
7×pow-plus associate-*l* pow-sqr
6×pow-prod-down
5×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 rem-square-sqrt
Counts
4 → 116
Calls
4 calls:
17.0ms
(* (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))) (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)))

series340.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y)))) (hypot (/ z t) (/ x y)))
77.0ms
(* (sqrt (hypot (/ z t) (/ x y))) (sqrt (hypot (/ z t) (/ x y))))
75.0ms
(sqrt (hypot (/ z t) (/ x y)))
70.0ms
(sqrt (hypot (/ z t) (/ x y)))

simplify44.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0218819
1869648
25002607

prune265.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
2.2b
(sqrt (hypot (/ z t) (/ x y)))
2.2b
(sqrt (hypot (/ z t) (/ x y)))
7.2b
(cbrt (pow (sqrt (hypot (/ z t) (/ x y))) 3))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod add-sqr-sqrt sqrt-prod
16×add-cube-cbrt *-un-lft-identity
12×unpow-prod-down cube-prod
8×pow1
5×add-exp-log add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow sqrt-pow1 pow1/2
2×cube-mult rem-sqrt-square unpow3 sqr-pow
1×pow-to-exp pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 93
Calls
4 calls:
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)))
2.0ms
(cbrt (pow (sqrt (hypot (/ z t) (/ x y))) 3))

series367.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(pow (sqrt (hypot (/ z t) (/ x y))) 3)
72.0ms
(sqrt (hypot (/ z t) (/ x y)))
74.0ms
(sqrt (hypot (/ z t) (/ x y)))
73.0ms
(cbrt (pow (sqrt (hypot (/ z t) (/ x y))) 3))

simplify154.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0149571
1485548
23062538
35001538

prune235.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes320.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01515
11515

end0.0ms

sample1.3s

Algorithm
intervals
Results
955.0ms15332×body80valid