Details

Time bar (total: 4.0s)

analyze364.0ms (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
12.5%87.4%0.1%6
34.3%65.5%0.1%7
46.8%53%0.1%8
48%51.9%0.1%9
63%36.9%0.1%10
71.7%28.2%0.1%11
72%27.8%0.1%12
80.5%19.4%0.1%13
85.4%14.5%0.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample41.0ms (1%)

Algorithm
intervals
Results
14.0ms38×body1024valid
13.0ms195×body128valid
2.0ms13×body512valid
1.0ms10×body256valid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify101.0ms (2.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02014
12014

prune3.0ms (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 18 to 16 computations (11.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (sin.f64 y))
0.1b
(*.f64 z (cos.f64 y))

rewrite11.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_4192 *-un-lft-identity_binary64_4170
pow1_binary64_4231 add-exp-log_binary64_4208 add-cbrt-cube_binary64_4206 add-log-exp_binary64_4209 add-cube-cbrt_binary64_4205
associate-*l*_binary64_4111 associate-*r*_binary64_4110
prod-exp_binary64_4219 cbrt-unprod_binary64_4203 flip-+_binary64_4144 +-commutative_binary64_4100 flip3-+_binary64_4173 *-commutative_binary64_4101 sum-log_binary64_4261 pow-prod-down_binary64_4241 distribute-lft-out_binary64_4121 unswap-sqr_binary64_4138
Counts
2 → 30
Calls

2 calls:

5.0ms
(*.f64 z (cos.f64 y))
4.0ms
(+.f64 x (sin.f64 y))

series193.0ms (4.8%)

Counts
2 → 19
Calls

2 calls:

101.0ms
(*.f64 z (cos.f64 y))
92.0ms
(+.f64 x (sin.f64 y))
Compiler

Compiled 321 to 289 computations (10% saved)

simplify66.0ms (1.6%)

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04851431
14851431

prune42.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New44549
Fresh000
Picked011
Done000
Total44650

Merged error: 0.0b

Counts
50 → 6
Compiler

Compiled 665 to 226 computations (66% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_4201
23×add-sqr-sqrt_binary64_4192
15×*-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205
11×pow1_binary64_4231
pow1/3_binary64_4252
swap-sqr_binary64_4137 associate-*l*_binary64_4111 add-exp-log_binary64_4208 associate-*r*_binary64_4110
add-cbrt-cube_binary64_4206 add-log-exp_binary64_4209 unswap-sqr_binary64_4138
pow-prod-up_binary64_4240 pow-prod-down_binary64_4241 pow-sqr_binary64_4143
pow-plus_binary64_4233 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 pow2_binary64_4251 *-commutative_binary64_4101
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series408.0ms (10.1%)

Counts
4 → 12
Calls

4 calls:

106.0ms
(cbrt.f64 z)
105.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
100.0ms
(cbrt.f64 z)
96.0ms
(cbrt.f64 z)
Compiler

Compiled 462 to 378 computations (18.2% saved)

simplify80.0ms (2%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
05008570

prune72.0ms (1.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New84185
Fresh134
Picked101
Done011
Total86591

Merged error: 0.0b

Counts
91 → 5
Compiler

Compiled 1641 to 440 computations (73.2% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (cos.f64 y) (cbrt.f64 z))
0.3b
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
0.6b
(cbrt.f64 z)
26.1b
(cbrt.f64 (*.f64 z z))

rewrite19.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_4192
11×pow1_binary64_4231 add-exp-log_binary64_4208
*-un-lft-identity_binary64_4170 add-cube-cbrt_binary64_4205 cbrt-prod_binary64_4201
associate-*l*_binary64_4111 associate-*r*_binary64_4110 add-cbrt-cube_binary64_4206
prod-exp_binary64_4219 cbrt-unprod_binary64_4203 pow-prod-down_binary64_4241 add-log-exp_binary64_4209
pow1/3_binary64_4252 *-commutative_binary64_4101 unswap-sqr_binary64_4138
Counts
4 → 61
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
5.0ms
(*.f64 (cos.f64 y) (cbrt.f64 z))
2.0ms
(cbrt.f64 (*.f64 z z))
1.0ms
(cbrt.f64 z)

series535.0ms (13.2%)

Counts
4 → 20
Calls

4 calls:

228.0ms
(*.f64 (cos.f64 y) (cbrt.f64 z))
105.0ms
(cbrt.f64 z)
102.0ms
(cbrt.f64 (*.f64 z z))
100.0ms
(*.f64 (cbrt.f64 (*.f64 z z)) (*.f64 (cos.f64 y) (cbrt.f64 z)))
Compiler

Compiled 611 to 523 computations (14.4% saved)

simplify72.0ms (1.8%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04993703
14993703

prune60.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New81081
Fresh033
Picked011
Done011
Total81586

Merged error: 0.0b

Counts
86 → 5
Compiler

Compiled 1397 to 395 computations (71.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (cos.f64 y))
0.0b
(sqrt.f64 (cos.f64 y))
0.1b
(*.f64 z (sqrt.f64 (cos.f64 y)))
0.1b
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))

rewrite21.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64_4192
13×pow1_binary64_4231 sqrt-prod_binary64_4186
12×associate-*r*_binary64_4110
11×add-exp-log_binary64_4208 *-un-lft-identity_binary64_4170 add-cbrt-cube_binary64_4206 add-cube-cbrt_binary64_4205
associate-*l*_binary64_4111 prod-exp_binary64_4219 cbrt-unprod_binary64_4203 pow-prod-down_binary64_4241 add-log-exp_binary64_4209
pow1/2_binary64_4250 sqrt-pow1_binary64_4188 *-commutative_binary64_4101 rem-sqrt-square_binary64_4183 unswap-sqr_binary64_4138
Counts
4 → 69
Calls

4 calls:

7.0ms
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
5.0ms
(*.f64 z (sqrt.f64 (cos.f64 y)))
1.0ms
(sqrt.f64 (cos.f64 y))
1.0ms
(sqrt.f64 (cos.f64 y))

series280.0ms (6.9%)

Counts
4 → 22
Calls

4 calls:

129.0ms
(*.f64 z (sqrt.f64 (cos.f64 y)))
101.0ms
(*.f64 (*.f64 z (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y)))
27.0ms
(sqrt.f64 (cos.f64 y))
23.0ms
(sqrt.f64 (cos.f64 y))
Compiler

Compiled 594 to 509 computations (14.3% saved)

simplify101.0ms (2.5%)

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
04789792
14789792

prune62.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New91091
Fresh022
Picked011
Done022
Total91596

Merged error: 0.0b

Counts
96 → 5
Compiler

Compiled 1464 to 333 computations (77.3% saved)

regimes91.0ms (2.2%)

Compiler

Compiled 592 to 490 computations (17.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11214

end0.0ms (0%)

sample1.4s (33.7%)

Algorithm
intervals
Results
396.0ms5763×body128valid
355.0ms1258×body1024valid
135.0ms654×body512valid
43.0ms319×body256valid
4.0msbody2048valid
Compiler

Compiled 161 to 134 computations (16.8% saved)

Profiling

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