Details

Time bar (total: 3.6s)

analyze176.0ms (4.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
25%74.9%0.1%6
34.3%40.6%25.1%7
35.9%39%25.1%8
42.1%32.8%25.1%9
42.9%19.5%37.6%10
43.3%19.1%37.6%11
45%17.5%37.6%12
45.1%10.3%44.6%13
45.2%10.2%44.6%14
Compiler

Compiled 11 to 11 computations (0% saved)

sample25.0ms (0.7%)

Algorithm
intervals
Results
10.0ms256×body128valid
5.0ms31×body128nan
0.0ms12×body128invalid
Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify166.0ms (4.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02912
12912

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.2b

Counts
2 → 1
Compiler

Compiled 36 to 36 computations (0% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 y (sqrt.f64 z)))
0.3b
(*.f64 y (sqrt.f64 z))

rewrite12.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_6293
associate-*r*_binary64_6211
add-cube-cbrt_binary64_6306 *-un-lft-identity_binary64_6271
pow1_binary64_6332 add-log-exp_binary64_6310 add-exp-log_binary64_6309 sqrt-prod_binary64_6287 add-cbrt-cube_binary64_6307
associate-*l*_binary64_6212
unswap-sqr_binary64_6239
+-commutative_binary64_6201 flip3-+_binary64_6274 pow-prod-down_binary64_6342 prod-exp_binary64_6320 cbrt-unprod_binary64_6304 *-commutative_binary64_6202 flip-+_binary64_6245 sum-log_binary64_6362
Counts
2 → 33
Calls

2 calls:

6.0ms
(*.f64 y (sqrt.f64 z))
3.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))

series125.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

66.0ms
(+.f64 x (*.f64 y (sqrt.f64 z)))
59.0ms
(*.f64 y (sqrt.f64 z))

simplify89.0ms (2.5%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
05339474

prune121.0ms (3.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New32739
Fresh000
Picked011
Done000
Total32840

Merged error: 0.0b

Counts
40 → 8
Compiler

Compiled 1835 to 1247 computations (32% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(sqrt.f64 (sqrt.f64 z))
0.2b
(sqrt.f64 (sqrt.f64 z))
0.3b
(*.f64 y (sqrt.f64 (sqrt.f64 z)))
0.3b
(*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

rewrite34.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod_binary64_6287
25×add-sqr-sqrt_binary64_6293
18×associate-*r*_binary64_6211
15×pow1_binary64_6332 add-cube-cbrt_binary64_6306 *-un-lft-identity_binary64_6271
11×add-exp-log_binary64_6309 add-cbrt-cube_binary64_6307
sqrt-pow1_binary64_6289
pow-prod-down_binary64_6342 rem-sqrt-square_binary64_6284 associate-*l*_binary64_6212 prod-exp_binary64_6320 cbrt-unprod_binary64_6304 pow1/2_binary64_6351 add-log-exp_binary64_6310
unswap-sqr_binary64_6239
*-commutative_binary64_6202
Counts
4 → 88
Calls

4 calls:

12.0ms
(*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))
8.0ms
(*.f64 y (sqrt.f64 (sqrt.f64 z)))
3.0ms
(sqrt.f64 (sqrt.f64 z))
3.0ms
(sqrt.f64 (sqrt.f64 z))

series342.0ms (9.5%)

Counts
4 → 12
Calls

4 calls:

103.0ms
(sqrt.f64 (sqrt.f64 z))
97.0ms
(sqrt.f64 (sqrt.f64 z))
82.0ms
(*.f64 y (sqrt.f64 (sqrt.f64 z)))
60.0ms
(*.f64 (*.f64 y (sqrt.f64 (sqrt.f64 z))) (sqrt.f64 (sqrt.f64 z)))

simplify72.0ms (2%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049281032
149281032

prune280.0ms (7.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New955100
Fresh336
Picked101
Done011
Total999108

Merged error: 0.0b

Counts
108 → 9
Compiler

Compiled 4737 to 2873 computations (39.3% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
0.2b
(sqrt.f64 (sqrt.f64 z))
0.3b
(*.f64 y (pow.f64 z 1/4))
0.3b
(*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))

rewrite31.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
19×add-exp-log_binary64_6309 sqrt-prod_binary64_6287 add-sqr-sqrt_binary64_6293
16×associate-*r*_binary64_6211
12×add-cube-cbrt_binary64_6306 *-un-lft-identity_binary64_6271
11×add-cbrt-cube_binary64_6307
10×prod-exp_binary64_6320
pow1_binary64_6332
add-log-exp_binary64_6310
sqrt-pow1_binary64_6289 associate-*l*_binary64_6212 unpow-prod-down_binary64_6350 cbrt-unprod_binary64_6304
unswap-sqr_binary64_6239
pow-to-exp_binary64_6340 rem-sqrt-square_binary64_6284 pow1/2_binary64_6351 sqr-pow_binary64_6243 *-commutative_binary64_6202 pow-exp_binary64_6339
+-commutative_binary64_6201 flip3-+_binary64_6274 pow-prod-down_binary64_6342 flip-+_binary64_6245 sum-log_binary64_6362
Counts
4 → 80
Calls

4 calls:

10.0ms
(*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
7.0ms
(*.f64 y (pow.f64 z 1/4))
4.0ms
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
2.0ms
(sqrt.f64 (sqrt.f64 z))

series403.0ms (11.2%)

Counts
4 → 12
Calls

4 calls:

108.0ms
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z))))
104.0ms
(sqrt.f64 (sqrt.f64 z))
101.0ms
(*.f64 (*.f64 y (pow.f64 z 1/4)) (sqrt.f64 (sqrt.f64 z)))
89.0ms
(*.f64 y (pow.f64 z 1/4))

simplify75.0ms (2.1%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
053321274

prune152.0ms (4.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh077
Picked011
Done011
Total9110101

Merged error: 0b

Counts
101 → 10
Compiler

Compiled 2595 to 1697 computations (34.6% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4)))
0.3b
(*.f64 y (pow.f64 z 1/4))
0.3b
(*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4))

rewrite31.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64_6309
24×prod-exp_binary64_6320
14×associate-*r*_binary64_6211
13×add-sqr-sqrt_binary64_6293
10×add-cbrt-cube_binary64_6307
pow-to-exp_binary64_6340 add-cube-cbrt_binary64_6306 *-un-lft-identity_binary64_6271 pow-exp_binary64_6339
unpow-prod-down_binary64_6350
add-log-exp_binary64_6310
associate-*l*_binary64_6212 cbrt-unprod_binary64_6304
pow1_binary64_6332 unswap-sqr_binary64_6239 sqr-pow_binary64_6243
*-commutative_binary64_6202
+-commutative_binary64_6201 flip3-+_binary64_6274 flip-+_binary64_6245 sum-log_binary64_6362
Counts
3 → 66
Calls

3 calls:

11.0ms
(*.f64 y (pow.f64 z 1/4))
9.0ms
(*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4))
4.0ms
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4)))

series212.0ms (5.9%)

Counts
3 → 9
Calls

3 calls:

85.0ms
(*.f64 y (pow.f64 z 1/4))
64.0ms
(*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4))
63.0ms
(+.f64 x (*.f64 (*.f64 y (pow.f64 z 1/4)) (pow.f64 z 1/4)))

simplify107.0ms (3%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (92.0ms)

IterNodesCost
04861843
14861843

prune72.0ms (2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New75075
Fresh077
Picked011
Done022
Total751085

Merged error: 0b

Counts
85 → 10
Compiler

Compiled 1288 to 812 computations (37% saved)

regimes181.0ms (5.1%)

Compiler

Compiled 1359 to 1048 computations (22.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01512
11512

end0.0ms (0%)

sample813.0ms (22.7%)

Algorithm
intervals
Results
337.0ms8000×body128valid
40.0ms1062×body128nan
17.0ms412×body128invalid
Compiler

Compiled 206 to 162 computations (21.4% saved)

Profiling

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