Details

Time bar (total: 2.8s)

analyze136.0ms (4.9%)

Algorithm
1×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)

sample41.0ms (1.5%)

Algorithm
1×intervals
Results
12.0ms37×body1024valid
9.0ms188×body128valid
4.0ms18×body1024invalid
3.0ms21×body512valid
2.0ms12×body512invalid
1.0ms31×body128invalid
1.0ms10×body256valid
1.0ms5×body256invalid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify170.0ms (6.2%)

Algorithm
1×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))

rewrite8.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
5×add-sqr-sqrt_binary64_441
3×*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454 associate-*r*_binary64_359 associate-*l*_binary64_360 add-cbrt-cube_binary64_455 pow1_binary64_480
2×add-exp-log_binary64_457
1×pow-prod-down_binary64_490 add-log-exp_binary64_458 unswap-sqr_binary64_387 prod-exp_binary64_468 cbrt-unprod_binary64_452 *-commutative_binary64_350
Counts
1 → 18
Calls

1 calls:

7.0ms
(*.f64 (exp.f64 re) (sin.f64 im))

series63.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

63.0ms
(*.f64 (exp.f64 re) (sin.f64 im))

simplify57.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
21 → 21
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04976222
14976222

prune15.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New19221
Fresh000
Picked011
Done000
Total19322

Merged error: 0b

Counts
22 → 3
Compiler

Compiled 213 to 67 computations (68.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite24.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64_441
9×associate-*l*_binary64_360 add-cbrt-cube_binary64_455 add-exp-log_binary64_457 pow1_binary64_480
7×*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454 associate-*r*_binary64_359 sqrt-prod_binary64_435
4×pow-prod-down_binary64_490 prod-exp_binary64_468 cbrt-unprod_binary64_452
2×add-log-exp_binary64_458 unswap-sqr_binary64_387 *-commutative_binary64_350
Counts
2 → 43
Calls

2 calls:

12.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
8.0ms
(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))

series150.0ms (5.4%)

Counts
2 → 6
Calls

2 calls:

84.0ms
(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))
65.0ms
(*.f64 (sqrt.f64 (exp.f64 re)) (*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))

simplify73.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05067595

prune29.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New49049
Fresh011
Picked011
Done011
Total49352

Merged error: 0b

Counts
52 → 3
Compiler

Compiled 630 to 134 computations (78.7% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (exp.f64 re) (sin.f64 im))
0.0b
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.0b
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.1b
(*.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))

rewrite39.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
61×pow1_binary64_480
32×sqrt-pow1_binary64_437
23×pow-prod-down_binary64_490
14×add-sqr-sqrt_binary64_441
12×pow1/2_binary64_499
10×*-un-lft-identity_binary64_419 add-cube-cbrt_binary64_454 pow-prod-up_binary64_489
8×add-cbrt-cube_binary64_455
7×associate-*r*_binary64_359 associate-*l*_binary64_360 add-exp-log_binary64_457
6×sqrt-prod_binary64_435 pow-sqr_binary64_392
4×add-log-exp_binary64_458 swap-sqr_binary64_386
2×unswap-sqr_binary64_387 prod-exp_binary64_468 cbrt-unprod_binary64_452 *-commutative_binary64_350
1×sqrt-unprod_binary64_439 rem-square-sqrt_binary64_431 pow-plus_binary64_482 pow2_binary64_500
Counts
4 → 89
Calls

4 calls:

16.0ms
(*.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
6.0ms
(*.f64 (exp.f64 re) (sin.f64 im))
4.0ms
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series327.0ms (11.9%)

Counts
4 → 12
Calls

4 calls:

103.0ms
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
99.0ms
(sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
66.0ms
(*.f64 (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))) (sqrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
58.0ms
(*.f64 (exp.f64 re) (sin.f64 im))

simplify54.0ms (2%)

Algorithm
1×egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05026913

prune60.0ms (2.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done022
Total1013104

Merged error: 0b

Counts
104 → 3
Compiler

Compiled 1315 to 279 computations (78.8% saved)

regimes80.0ms (2.9%)

Compiler

Compiled 323 to 265 computations (18% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01017
11017

end0.0ms (0%)

sample1.4s (51.1%)

Algorithm
1×intervals
Results
399.0ms1349×body1024valid
263.0ms5610×body128valid
144.0ms644×body1024invalid
110.0ms706×body512valid
46.0ms341×body512invalid
45.0ms868×body128invalid
33.0ms331×body256valid
16.0ms173×body256invalid
3.0ms4×body2048valid
Compiler

Compiled 69 to 56 computations (18.8% saved)

Profiling

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