Details

Time bar (total: 3.6s)

analyze458.0ms (12.9%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077940
177940
033
133
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
6.2%93.6%0.1%6
15.6%84.3%0.1%7
23.4%76.5%0.1%8
33.5%63.2%3.3%9
43.3%49.5%7.2%10
48.2%43.9%7.9%11
54.5%34.2%11.3%12
60.6%25.6%13.8%13
63.1%22.8%14.1%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.5%)

Algorithm
intervals
Results
7.0ms256×body128valid
0.0ms15×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify20.0ms (0.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
030110
130110

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 2
Compiler

Compiled 23 to 20 computations (13% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 y (-.f64 x z))
0.0b
(+.f64 z (*.f64 y (-.f64 x z)))

rewrite49.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_16127 cancel-sign-sub-inv_binary64_16071
10×*-un-lft-identity_binary64_16105
add-cube-cbrt_binary64_16140 distribute-rgt-in_binary64_16055 associate-+r+_binary64_16037 distribute-lft-in_binary64_16054
associate-*r*_binary64_16045
add-log-exp_binary64_16144 pow1_binary64_16166 add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141 sub-neg_binary64_16098
associate-*l*_binary64_16046
associate-*r/_binary64_16047
sum-log_binary64_16196 flip3-+_binary64_16108 flip-+_binary64_16079 +-commutative_binary64_16035 pow-prod-down_binary64_16176 prod-exp_binary64_16154 cbrt-unprod_binary64_16138 unswap-sqr_binary64_16073 flip3--_binary64_16109 flip--_binary64_16080 difference-of-squares_binary64_16074 distribute-lft-out--_binary64_16057 *-commutative_binary64_16036
Counts
2 → 49
Calls

2 calls:

7.0ms
(*.f64 y (-.f64 x z))
4.0ms
(+.f64 z (*.f64 y (-.f64 x z)))
Compiler

Compiled 682 to 192 computations (71.8% saved)

series241.0ms (6.8%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

127.0ms
(+.f64 z (*.f64 y (-.f64 x z)))
96.0ms
(*.f64 y (-.f64 x z))
Compiler

Compiled 618 to 363 computations (41.3% saved)

simplify83.0ms (2.3%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
04909764
14909764

prune46.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New80282
Fresh011
Picked011
Done000
Total80484
Error
0.0b
Counts
84 → 4
Compiler

Compiled 828 to 180 computations (78.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
0.0b
(*.f64 z (-.f64 1 y))

rewrite53.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×add-sqr-sqrt_binary64_16127
12×cancel-sign-sub-inv_binary64_16071
11×*-un-lft-identity_binary64_16105
add-cube-cbrt_binary64_16140 distribute-rgt-in_binary64_16055 distribute-lft-in_binary64_16054 associate-+r+_binary64_16037
associate-*r*_binary64_16045
pow1_binary64_16166 add-exp-log_binary64_16143 add-log-exp_binary64_16144 add-cbrt-cube_binary64_16141 sub-neg_binary64_16098
associate-*l*_binary64_16046
associate-*r/_binary64_16047 difference-of-squares_binary64_16074
pow-prod-down_binary64_16176 prod-exp_binary64_16154 cbrt-unprod_binary64_16138 unswap-sqr_binary64_16073 flip3--_binary64_16109 flip--_binary64_16080 distribute-lft-out--_binary64_16057 *-commutative_binary64_16036 sum-log_binary64_16196 flip3-+_binary64_16108 flip-+_binary64_16079 +-commutative_binary64_16035
Counts
2 → 50
Calls

2 calls:

7.0ms
(*.f64 z (-.f64 1 y))
5.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
Compiler

Compiled 815 to 409 computations (49.8% saved)

series182.0ms (5.1%)

Error
0.0b
Counts
2 → 27
Calls

2 calls:

114.0ms
(+.f64 (*.f64 x y) (*.f64 z (-.f64 1 y)))
57.0ms
(*.f64 z (-.f64 1 y))
Compiler

Compiled 529 to 324 computations (38.8% saved)

simplify81.0ms (2.3%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05326712

prune44.0ms (1.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh022
Picked011
Done011
Total77481
Error
0.0b
Counts
81 → 4
Compiler

Compiled 864 to 316 computations (63.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 y (-.f64 x z))

rewrite27.0ms (0.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
add-sqr-sqrt_binary64_16127
*-un-lft-identity_binary64_16105
cancel-sign-sub-inv_binary64_16071
add-cube-cbrt_binary64_16140 associate-*r*_binary64_16045
distribute-rgt-in_binary64_16055 distribute-lft-in_binary64_16054
pow1_binary64_16166 add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141 associate-*l*_binary64_16046
sub-neg_binary64_16098 associate-*r/_binary64_16047
pow-prod-down_binary64_16176 prod-exp_binary64_16154 add-log-exp_binary64_16144 cbrt-unprod_binary64_16138 unswap-sqr_binary64_16073 flip3--_binary64_16109 flip--_binary64_16080 difference-of-squares_binary64_16074 distribute-lft-out--_binary64_16057 *-commutative_binary64_16036
Counts
1 → 30
Calls

1 calls:

8.0ms
(*.f64 y (-.f64 x z))
Compiler

Compiled 338 to 111 computations (67.2% saved)

series92.0ms (2.6%)

Error
0.0b
Counts
1 → 15
Calls

1 calls:

86.0ms
(*.f64 y (-.f64 x z))
Compiler

Compiled 219 to 146 computations (33.3% saved)

simplify50.0ms (1.4%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05688386

prune21.0ms (0.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New45045
Fresh011
Picked011
Done022
Total45449
Error
0.0b
Counts
49 → 4
Compiler

Compiled 363 to 80 computations (78% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 y (-.f64 x z))
0.0b
(+.f64 z (*.f64 y (-.f64 x z)))
0.2b
(pow.f64 (+.f64 z (*.f64 y (-.f64 x z))) 3)
38.0b
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 y (-.f64 x z))) 3))

rewrite103.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
20×add-sqr-sqrt_binary64_16127
18×*-un-lft-identity_binary64_16105
16×add-cube-cbrt_binary64_16140
12×cbrt-prod_binary64_16136 cancel-sign-sub-inv_binary64_16071
distribute-rgt-in_binary64_16055 associate-+r+_binary64_16037 distribute-lft-in_binary64_16054
pow1_binary64_16166 add-exp-log_binary64_16143 add-cbrt-cube_binary64_16141
add-log-exp_binary64_16144 unpow-prod-down_binary64_16184 cube-prod_binary64_16133
associate-*r*_binary64_16045
cube-div_binary64_16134 sub-neg_binary64_16098
flip3-+_binary64_16108 flip-+_binary64_16079 pow-unpow_binary64_16182 associate-*l*_binary64_16046
cbrt-div_binary64_16137 unpow3_binary64_16171 cube-mult_binary64_16135 sqr-pow_binary64_16077 associate-*r/_binary64_16047
pow1/3_binary64_16187 rem-cbrt-cube_binary64_16129 pow-pow_binary64_16177 pow-to-exp_binary64_16174 pow-exp_binary64_16173 rem-cube-cbrt_binary64_16128 sum-log_binary64_16196 +-commutative_binary64_16035 pow-prod-down_binary64_16176 prod-exp_binary64_16154 cbrt-unprod_binary64_16138 unswap-sqr_binary64_16073 flip3--_binary64_16109 flip--_binary64_16080 difference-of-squares_binary64_16074 distribute-lft-out--_binary64_16057 *-commutative_binary64_16036
Counts
4 → 97
Calls

4 calls:

7.0ms
(*.f64 y (-.f64 x z))
4.0ms
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 y (-.f64 x z))) 3))
4.0ms
(+.f64 z (*.f64 y (-.f64 x z)))
4.0ms
(pow.f64 (+.f64 z (*.f64 y (-.f64 x z))) 3)
Compiler

Compiled 1852 to 655 computations (64.6% saved)

series812.0ms (22.8%)

Error
0.0b
Counts
4 → 87
Calls

4 calls:

345.0ms
(pow.f64 (+.f64 z (*.f64 y (-.f64 x z))) 3)
137.0ms
(+.f64 z (*.f64 y (-.f64 x z)))
118.0ms
(cbrt.f64 (pow.f64 (+.f64 z (*.f64 y (-.f64 x z))) 3))
93.0ms
(*.f64 y (-.f64 x z))
Compiler

Compiled 5399 to 4055 computations (24.9% saved)

simplify95.0ms (2.7%)

Algorithm
egg-herbie
Counts
184 → 184
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050354241

prune155.0ms (4.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1840184
Fresh000
Picked011
Done033
Total1844188
Error
0.0b
Counts
188 → 4
Compiler

Compiled 3610 to 1481 computations (59% saved)

regimes118.0ms (3.3%)

Accuracy

Total 0.0b remaining (81.7%)

Threshold costs 0.0b (81.7%)

Compiler

Compiled 756 to 590 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01910
11910

end0.0ms (0%)

sample783.0ms (22%)

Algorithm
intervals
Results
236.0ms8000×body128valid
24.0ms694×body128invalid
Compiler

Compiled 207 to 163 computations (21.3% saved)

Profiling

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