Details

Time bar (total: 4.3s)

analyze340.0ms (7.9%)

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
25%74.9%0.1%4
62.4%37.5%0.1%5
62.4%37.5%0.1%6
62.4%31.2%6.3%7
62.4%31.2%6.3%8
62.4%28.1%9.5%9
62.4%28.1%9.5%10
62.4%26.5%11%11
62.4%26.5%11%12
62.4%25.8%11.8%13
62.4%25.8%11.8%14
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample85.0ms (2%)

Algorithm
intervals
Results
25.0ms68×body1024valid
17.0ms73×body1024invalid
9.0ms145×body128valid
8.0ms30×body512invalid
6.0ms89×body128invalid
5.0ms28×body512valid
2.0ms18×body256invalid
2.0ms15×body256valid
Compiler

Compiled 25 to 25 computations (0% saved)

simplify201.0ms (4.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
0528218

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

rewrite20.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_114 add-exp-log_binary64_116 *-un-lft-identity_binary64_78 pow1_binary64_139
add-log-exp_binary64_117 associate-*r*_binary64_18
add-sqr-sqrt_binary64_100 cbrt-unprod_binary64_111 prod-exp_binary64_127 add-cube-cbrt_binary64_113 pow-prod-down_binary64_149
flip-+_binary64_52 associate-*r/_binary64_20 distribute-lft-out_binary64_29 flip3-+_binary64_81
+-commutative_binary64_8 distribute-lft-in_binary64_27 *-commutative_binary64_9 associate-*l*_binary64_19 distribute-rgt-in_binary64_28 sum-log_binary64_169
Counts
2 → 35
Calls

2 calls:

12.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series86.0ms (2%)

Counts
2 → 6
Calls

2 calls:

71.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
15.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify75.0ms (1.8%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04978719
14978719

prune36.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh000
Picked011
Done000
Total39342

Merged error: 0b

Counts
42 → 3
Compiler

Compiled 688 to 271 computations (60.6% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
0.0b
(+.f64 (/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)) (*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
0.0b
(*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube_binary64_114
add-exp-log_binary64_116
pow1_binary64_139
add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
add-log-exp_binary64_117
cbrt-unprod_binary64_111 prod-exp_binary64_127
times-frac_binary64_84 associate-*r*_binary64_18 associate-/r*_binary64_22 pow-prod-down_binary64_149
cbrt-undiv_binary64_112 div-exp_binary64_129 div-inv_binary64_75
+-commutative_binary64_8 *-commutative_binary64_9 associate-*l*_binary64_19 flip-+_binary64_52 frac-2neg_binary64_89 associate-/l*_binary64_23 clear-num_binary64_77 distribute-lft-out_binary64_29 sum-log_binary64_169 flip3-+_binary64_81
Counts
3 → 51
Calls

3 calls:

9.0ms
(+.f64 (/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)) (*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
7.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
5.0ms
(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

series176.0ms (4.1%)

Counts
3 → 9
Calls

3 calls:

89.0ms
(+.f64 (/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)) (*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im)))
49.0ms
(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
39.0ms
(*.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))

simplify84.0ms (2%)

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04930984
14930984

prune56.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New60060
Fresh011
Picked011
Done011
Total60363

Merged error: 0b

Counts
63 → 3
Compiler

Compiled 1154 to 588 computations (49% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b
(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.4b
(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
20.6b
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

rewrite35.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64_78
add-cbrt-cube_binary64_114 add-sqr-sqrt_binary64_100 add-exp-log_binary64_116 pow1_binary64_139
associate-*r/_binary64_20
add-cube-cbrt_binary64_113
add-log-exp_binary64_117
cube-div_binary64_107 flip-+_binary64_52 associate-*r*_binary64_18 flip3-+_binary64_81
associate-*l*_binary64_19 pow-unpow_binary64_155
rem-cube-cbrt_binary64_101 cbrt-div_binary64_110 pow-exp_binary64_146 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-pow_binary64_150 pow-prod-down_binary64_149 distribute-lft-out_binary64_29
cube-mult_binary64_108 +-commutative_binary64_8 distribute-lft-in_binary64_27 *-commutative_binary64_9 pow-to-exp_binary64_147 unpow-prod-down_binary64_157 pow1/3_binary64_160 distribute-rgt-in_binary64_28 sqr-pow_binary64_50 cbrt-prod_binary64_109 unswap-sqr_binary64_46 unpow3_binary64_144 cube-prod_binary64_106 sum-log_binary64_169
Counts
4 → 70
Calls

4 calls:

10.0ms
(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
9.0ms
(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
4.0ms
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))

series263.0ms (6.1%)

Counts
4 → 12
Calls

4 calls:

121.0ms
(pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)
76.0ms
(cbrt.f64 (*.f64 1/8 (pow.f64 (*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) 3)))
53.0ms
(*.f64 (sin.f64 re) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
13.0ms
(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify76.0ms (1.8%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
051771517

prune74.0ms (1.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New82082
Fresh000
Picked011
Done022
Total82385

Merged error: 0b

Counts
85 → 3
Compiler

Compiled 1604 to 670 computations (58.2% saved)

regimes88.0ms (2.1%)

Compiler

Compiled 588 to 492 computations (16.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01324
11324

end0.0ms (0%)

sample2.5s (59.1%)

Algorithm
intervals
Results
699.0ms1998×body1024valid
448.0ms1927×body1024invalid
283.0ms4517×body128valid
188.0ms996×body512valid
168.0ms985×body512invalid
160.0ms2502×body128invalid
61.0ms484×body256valid
60.0ms504×body256invalid
3.0msbody2048valid
Compiler

Compiled 117 to 97 computations (17.1% saved)

Profiling

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