Details

Time bar (total: 3.2s)

analyze138.0ms (4.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
50%50%0.1%2
50%50%0.1%3
74.9%25%0.1%4
81.2%18.7%0.1%5
81.2%15.6%3.2%6
81.2%15.6%3.2%7
81.2%14%4.8%8
81.2%14%4.8%9
81.2%13.3%5.6%10
81.2%13.3%5.6%11
81.2%12.9%6%12
81.2%12.9%6%13
81.2%12.7%6.1%14
Compiler

Compiled 6 to 6 computations (0% saved)

sample36.0ms (1.1%)

Algorithm
intervals
Results
10.0ms34×body1024valid
9.0ms192×body128valid
3.0ms20×body512valid
2.0ms11×body1024invalid
2.0ms33×body128invalid
1.0ms10×body256valid
0.0msbody256invalid
0.0msbody512invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify166.0ms (5.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
078
178

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (exp.f64 re) (sin.f64 im))

rewrite7.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1446
add-cube-cbrt_binary64_1457 associate-*l*_binary64_1368 associate-*r*_binary64_1367 add-cbrt-cube_binary64_1458 pow1_binary64_1483 *-un-lft-identity_binary64_1425
add-exp-log_binary64_1460
unswap-sqr_binary64_1393 prod-exp_binary64_1471 cbrt-unprod_binary64_1455 add-log-exp_binary64_1461 *-commutative_binary64_1358 pow-prod-down_binary64_1493
Counts
1 → 18
Calls

1 calls:

6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))

series69.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

69.0ms
(*.f64 (exp.f64 re) (sin.f64 im))

simplify56.0ms (1.8%)

Algorithm
egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04862222
14862222

prune14.0ms (0.4%)

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 218 to 69 computations (68.3% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re))))
0.0b
(cbrt.f64 (exp.f64 re))
0.0b
(cbrt.f64 (exp.f64 re))
0.0b
(cbrt.f64 (exp.f64 re))

rewrite22.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64_1483 add-exp-log_binary64_1460
10×add-cbrt-cube_binary64_1458
cbrt-prod_binary64_1453
prod-exp_binary64_1471 cbrt-unprod_binary64_1455 pow-prod-down_binary64_1493
add-cube-cbrt_binary64_1457 add-sqr-sqrt_binary64_1446 *-un-lft-identity_binary64_1425
add-log-exp_binary64_1461
pow1/3_binary64_1504
associate-*l*_binary64_1368 associate-*r*_binary64_1367 *-commutative_binary64_1358
Counts
4 → 55
Calls

4 calls:

12.0ms
(*.f64 (*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re))))
2.0ms
(cbrt.f64 (exp.f64 re))
2.0ms
(cbrt.f64 (exp.f64 re))
2.0ms
(cbrt.f64 (exp.f64 re))

series375.0ms (11.8%)

Counts
4 → 12
Calls

4 calls:

108.0ms
(cbrt.f64 (exp.f64 re))
101.0ms
(cbrt.f64 (exp.f64 re))
93.0ms
(cbrt.f64 (exp.f64 re))
71.0ms
(*.f64 (*.f64 (cbrt.f64 (exp.f64 re)) (cbrt.f64 (exp.f64 re))) (*.f64 (sin.f64 im) (cbrt.f64 (exp.f64 re))))

simplify71.0ms (2.2%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04821576
14821576

prune46.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New66167
Fresh101
Picked011
Done011
Total67370

Merged error: 0.0b

Counts
70 → 3
Compiler

Compiled 976 to 218 computations (77.7% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(cbrt.f64 (exp.f64 re))
0.0b
(cbrt.f64 (exp.f64 re))
0.0b
(cbrt.f64 (sqrt.f64 (exp.f64 re)))
0.0b
(cbrt.f64 (sqrt.f64 (exp.f64 re)))

rewrite14.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64_1453
10×add-cube-cbrt_binary64_1457 add-sqr-sqrt_binary64_1446 *-un-lft-identity_binary64_1425
sqrt-prod_binary64_1440
add-cbrt-cube_binary64_1458 pow1/3_binary64_1504 pow1_binary64_1483 add-exp-log_binary64_1460 add-log-exp_binary64_1461
Counts
4 → 50
Calls

4 calls:

3.0ms
(cbrt.f64 (sqrt.f64 (exp.f64 re)))
3.0ms
(cbrt.f64 (sqrt.f64 (exp.f64 re)))
2.0ms
(cbrt.f64 (exp.f64 re))
2.0ms
(cbrt.f64 (exp.f64 re))

series443.0ms (14%)

Counts
4 → 12
Calls

4 calls:

115.0ms
(cbrt.f64 (sqrt.f64 (exp.f64 re)))
113.0ms
(cbrt.f64 (exp.f64 re))
108.0ms
(cbrt.f64 (sqrt.f64 (exp.f64 re)))
107.0ms
(cbrt.f64 (exp.f64 re))

simplify72.0ms (2.3%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04918614
14918614

prune54.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New62062
Fresh000
Picked011
Done022
Total62365

Merged error: 0.0b

Counts
65 → 3
Compiler

Compiled 1480 to 262 computations (82.3% saved)

regimes47.0ms (1.5%)

Compiler

Compiled 217 to 150 computations (30.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078
178

end0.0ms (0%)

sample1.5s (47.4%)

Algorithm
intervals
Results
397.0ms1339×body1024valid
287.0ms693×body1024invalid
269.0ms5641×body128valid
105.0ms669×body512valid
43.0ms319×body512invalid
42.0ms872×body128invalid
34.0ms349×body256valid
15.0ms166×body256invalid
2.0msbody2048valid
Compiler

Compiled 50 to 37 computations (26% saved)

Profiling

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