Details

Time bar (total: 1.9s)

analyze256.0ms (13.3%)

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
0%99.9%0.1%6
18.7%81.1%0.1%7
21.8%78%0.1%8
32.8%67.1%0.1%9
43.7%43.7%12.6%10
46.8%40.6%12.6%11
52.7%34.7%12.6%12
58.5%22.6%18.9%13
60.5%20.7%18.9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample17.0ms (0.9%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms20×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01310
11310

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (*.f64 y z) z)

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r*_binary64 prod-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 associate-*l*_binary64 *-commutative_binary64
Counts
1 → 18
Calls

1 calls:

5.0ms
(*.f64 (*.f64 y z) z)

series49.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

49.0ms
(*.f64 (*.f64 y z) z)

simplify59.0ms (3.1%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04935177
14935177

prune24.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19221
Fresh000
Picked011
Done000
Total19322

Merged error: 0.0b

Counts
22 → 3
Compiler

Compiled 222 to 74 computations (66.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

12.3b
(*.f64 y (*.f64 z z))

rewrite8.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
add-log-exp_binary64 associate-*r*_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
1 → 19
Calls

1 calls:

6.0ms
(*.f64 y (*.f64 z z))

series48.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

48.0ms
(*.f64 y (*.f64 z z))

simplify73.0ms (3.8%)

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
04973189
14973189

prune14.0ms (0.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New21122
Fresh011
Picked011
Done011
Total21425

Merged error: 0.0b

Counts
25 → 4
Compiler

Compiled 240 to 79 computations (67.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 z (sqrt.f64 y))
0.1b
(*.f64 z (sqrt.f64 y))
0.2b
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))

rewrite29.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
46×pow1_binary64
19×pow-prod-down_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
17×add-sqr-sqrt_binary64
13×associate-*r*_binary64
10×cbrt-unprod_binary64 prod-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
sqrt-prod_binary64
associate-*l*_binary64
pow-prod-up_binary64 unswap-sqr_binary64 pow-sqr_binary64
add-log-exp_binary64 *-commutative_binary64
pow-plus_binary64
swap-sqr_binary64 pow2_binary64
Counts
3 → 78
Calls

3 calls:

9.0ms
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))
5.0ms
(*.f64 z (sqrt.f64 y))
5.0ms
(*.f64 z (sqrt.f64 y))

series152.0ms (7.9%)

Counts
3 → 9
Calls

3 calls:

57.0ms
(*.f64 z (sqrt.f64 y))
49.0ms
(*.f64 z (sqrt.f64 y))
45.0ms
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 z (sqrt.f64 y)))

simplify70.0ms (3.6%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04940826
14940826

prune58.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New85287
Fresh011
Picked011
Done022
Total85691

Merged error: 0.0b

Counts
91 → 6
Compiler

Compiled 1237 to 348 computations (71.9% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 z (sqrt.f64 (sqrt.f64 y)))
0.1b
(*.f64 z (sqrt.f64 y))
0.2b
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))))
0.2b
(*.f64 (*.f64 z (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))

rewrite51.0ms (2.6%)

Algorithm
rewrite-expression-head
Rules
34×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
25×associate-*r*_binary64 sqrt-prod_binary64
24×add-sqr-sqrt_binary64
20×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
14×*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*l*_binary64
unswap-sqr_binary64
add-log-exp_binary64 *-commutative_binary64
Counts
4 → 100
Calls

4 calls:

15.0ms
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))))
14.0ms
(*.f64 (*.f64 z (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
7.0ms
(*.f64 z (sqrt.f64 (sqrt.f64 y)))
5.0ms
(*.f64 z (sqrt.f64 y))

series242.0ms (12.6%)

Counts
4 → 12
Calls

4 calls:

84.0ms
(*.f64 z (sqrt.f64 (sqrt.f64 y)))
55.0ms
(*.f64 (*.f64 z (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y)))
55.0ms
(*.f64 z (sqrt.f64 y))
48.0ms
(*.f64 (*.f64 z (sqrt.f64 y)) (*.f64 (*.f64 z (sqrt.f64 (sqrt.f64 y))) (sqrt.f64 (sqrt.f64 y))))

simplify76.0ms (4%)

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049351262
149351262

prune76.0ms (3.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1120112
Fresh022
Picked011
Done033
Total1126118

Merged error: 0.0b

Counts
118 → 6
Compiler

Compiled 1973 to 445 computations (77.4% saved)

regimes71.0ms (3.7%)

Compiler

Compiled 405 to 280 computations (30.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01010
11010

end0.0ms (0%)

sample510.0ms (26.4%)

Algorithm
intervals
Results
210.0ms8000×body128valid
17.0ms706×body128invalid
Compiler

Compiled 90 to 64 computations (28.9% saved)

Profiling

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