Details

Time bar (total: 5.0s)

sample58.0ms

Algorithm
intervals
Results
40.0ms513×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0247
1446
2586
3606
4606

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
22.3b
(/ (* 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))

series137.0ms

Counts
2 → 6
Calls
2 calls:
104.0ms
(fma (/ z t) (/ z t) (/ (* x x) (* y y)))
33.0ms
(/ (* x x) (* y y))

simplify88.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0178240
1755177
23369172
35003172

prune105.0ms

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))
0.5b
(* (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))
3.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

series302.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(hypot (/ z t) (/ x y))
81.0ms
(hypot (/ z t) (/ x y))
133.0ms
(* (hypot (/ z t) (/ x y)) (hypot (/ z t) (/ x y)))

simplify58.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0104364
1351302
21561276
35001271

prune168.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
0.4b
(* (/ x y) (/ x y))
0.5b
(* (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (hypot (/ z t) (/ x y)))
6.9b
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
40×times-frac
36×add-cube-cbrt *-un-lft-identity
19×associate-*l*
18×add-exp-log add-cbrt-cube
16×associate-*r*
14×pow1
13×swap-sqr
7×sqrt-prod
6×unswap-sqr
5×prod-exp cbrt-unprod
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u div-inv add-log-exp
2×pow-prod-down *-commutative fma-udef
1×pow2 frac-times rem-sqrt-square hypot-udef sqrt-pow1 pow-plus pow1/2 sqrt-unprod associate-*r/ associate-*l/ pow-sqr pow-prod-up hypot-def
Counts
4 → 120
Calls
4 calls:
0.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
14.0ms
(* (/ x y) (/ x y))
5.0ms
(* (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (hypot (/ z t) (/ x y)))
1.0ms
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

series452.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(fma (/ z t) (/ z t) (* (/ x y) (/ x y)))
29.0ms
(* (/ x y) (/ x y))
221.0ms
(* (sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y)))) (hypot (/ z t) (/ x y)))
96.0ms
(sqrt (fma (/ z t) (/ z t) (* (/ x y) (/ x y))))

simplify68.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
04521027
12112753
25002669

prune433.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

6.9b
(sqrt (fma (/ z t) (/ z t) (* (* (/ x y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (/ x y)))))
10.6b
(cbrt (/ x y))
10.6b
(cbrt (/ x y))
10.6b
(cbrt (/ x y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
5×pow1
4×add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×cbrt-div pow1/3 sqrt-prod div-inv
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 87
Calls
4 calls:
1.0ms
(sqrt (fma (/ z t) (/ z t) (* (* (/ x y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (/ x y)))))
1.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series303.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(sqrt (fma (/ z t) (/ z t) (* (* (/ x y) (* (cbrt (/ x y)) (cbrt (/ x y)))) (cbrt (/ x y)))))
67.0ms
(cbrt (/ x y))
71.0ms
(cbrt (/ x y))
71.0ms
(cbrt (/ x y))

simplify74.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 4 (65.0ms)

IterNodesCost
0148689
1296655
2745648
32206602
45001587

prune389.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes708.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.1b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01718
11718

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s15503×body80valid