Details

Time bar (total: 33.8s)

analyze1.1s (3.4%)

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
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
36.7%60.8%2.5%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
58.2%30.2%11.6%12
61.3%24.4%14.3%13
65%19.8%15.3%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample46.0ms (0.1%)

Algorithm
intervals
Results
16.0ms256×body128valid
1.0ms18×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify357.0ms (1.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
030110
130110

prune8.0ms (0%)

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 14 to 12 computations (14.3% saved)

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite61.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt_binary64_100 cancel-sign-sub-inv_binary64_44
10×*-un-lft-identity_binary64_78
distribute-lft-in_binary64_27 add-cube-cbrt_binary64_113 associate-+r+_binary64_10 distribute-rgt-in_binary64_28
associate-*r*_binary64_18
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 add-exp-log_binary64_116 sub-neg_binary64_71 pow1_binary64_139
associate-*l*_binary64_19
associate-*r/_binary64_20
+-commutative_binary64_8 *-commutative_binary64_9 cbrt-unprod_binary64_111 prod-exp_binary64_127 flip-+_binary64_52 distribute-lft-out--_binary64_30 flip3--_binary64_82 flip--_binary64_53 pow-prod-down_binary64_149 unswap-sqr_binary64_46 difference-of-squares_binary64_47 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 49
Calls

2 calls:

28.0ms
(*.f64 y (-.f64 z x))
24.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

series352.0ms (1%)

Counts
2 → 6
Calls

2 calls:

220.0ms
(+.f64 x (*.f64 y (-.f64 z x)))
131.0ms
(*.f64 y (-.f64 z x))

simplify346.0ms (1%)

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (269.0ms)

IterNodesCost
05015584

prune741.0ms (2.2%)

Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New352055
Fresh000
Picked011
Done000
Total352156

Merged error: 0.0b

Counts
56 → 21
Compiler

Compiled 982 to 346 computations (64.8% saved)

localize23.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite57.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
20×distribute-lft-in_binary64_27 distribute-rgt-in_binary64_28
18×cancel-sign-sub-inv_binary64_44
16×associate-+r+_binary64_10
14×add-sqr-sqrt_binary64_100
13×*-un-lft-identity_binary64_78
10×add-cube-cbrt_binary64_113
sub-neg_binary64_71
associate-*r*_binary64_18
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 add-exp-log_binary64_116 pow1_binary64_139
associate-*l*_binary64_19
associate-*r/_binary64_20
+-commutative_binary64_8 *-commutative_binary64_9 cbrt-unprod_binary64_111 prod-exp_binary64_127 flip-+_binary64_52 distribute-lft-out--_binary64_30 flip3--_binary64_82 flip--_binary64_53 pow-prod-down_binary64_149 unswap-sqr_binary64_46 difference-of-squares_binary64_47 distribute-lft-out_binary64_29 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 58
Calls

2 calls:

25.0ms
(*.f64 y (-.f64 z x))
17.0ms
(+.f64 x (*.f64 1 (*.f64 y (-.f64 z x))))

series194.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

113.0ms
(*.f64 y (-.f64 z x))
81.0ms
(+.f64 x (*.f64 1 (*.f64 y (-.f64 z x))))

simplify216.0ms (0.6%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (171.0ms)

IterNodesCost
05010650

prune1.4s (4%)

Pruning

33 alts after pruning (31 fresh and 2 done)

PrunedKeptTotal
New491564
Fresh31619
Picked011
Done011
Total523385

Merged error: 0.0b

Counts
85 → 33
Compiler

Compiled 1401 to 621 computations (55.7% saved)

localize43.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite117.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
52×distribute-lft-in_binary64_27 distribute-rgt-in_binary64_28
32×associate-+r+_binary64_10
30×cancel-sign-sub-inv_binary64_44
18×add-sqr-sqrt_binary64_100
17×*-un-lft-identity_binary64_78
14×add-cube-cbrt_binary64_113
10×sub-neg_binary64_71
associate-*r*_binary64_18
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 add-exp-log_binary64_116 pow1_binary64_139
associate-*l*_binary64_19
associate-*r/_binary64_20
+-commutative_binary64_8 *-commutative_binary64_9 cbrt-unprod_binary64_111 prod-exp_binary64_127 flip-+_binary64_52 distribute-lft-out--_binary64_30 flip3--_binary64_82 flip--_binary64_53 pow-prod-down_binary64_149 unswap-sqr_binary64_46 difference-of-squares_binary64_47 distribute-lft-out_binary64_29 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 74
Calls

2 calls:

46.0ms
(*.f64 y (-.f64 z x))
41.0ms
(+.f64 x (*.f64 1 (*.f64 1 (*.f64 y (-.f64 z x)))))

series299.0ms (0.9%)

Counts
2 → 6
Calls

2 calls:

157.0ms
(+.f64 x (*.f64 1 (*.f64 1 (*.f64 y (-.f64 z x)))))
141.0ms
(*.f64 y (-.f64 z x))

simplify267.0ms (0.8%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (202.0ms)

IterNodesCost
05010762

prune1.7s (5.1%)

Pruning

46 alts after pruning (43 fresh and 3 done)

PrunedKeptTotal
New661480
Fresh12930
Picked011
Done022
Total6746113

Merged error: 0.0b

Counts
113 → 46
Compiler

Compiled 2022 to 991 computations (51% saved)

localize41.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite59.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
52×distribute-lft-in_binary64_27 distribute-rgt-in_binary64_28
32×associate-+r+_binary64_10
30×cancel-sign-sub-inv_binary64_44
18×add-sqr-sqrt_binary64_100
17×*-un-lft-identity_binary64_78
14×add-cube-cbrt_binary64_113
10×sub-neg_binary64_71
associate-*r*_binary64_18
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 add-exp-log_binary64_116 pow1_binary64_139
associate-*l*_binary64_19
associate-*r/_binary64_20
+-commutative_binary64_8 *-commutative_binary64_9 cbrt-unprod_binary64_111 prod-exp_binary64_127 flip-+_binary64_52 distribute-lft-out--_binary64_30 flip3--_binary64_82 flip--_binary64_53 pow-prod-down_binary64_149 unswap-sqr_binary64_46 difference-of-squares_binary64_47 distribute-lft-out_binary64_29 sum-log_binary64_169 flip3-+_binary64_81
Counts
2 → 74
Calls

2 calls:

18.0ms
(+.f64 x (*.f64 1 (*.f64 1 (*.f64 y (-.f64 z x)))))
16.0ms
(*.f64 y (-.f64 z x))

series228.0ms (0.7%)

Counts
2 → 6
Calls

2 calls:

123.0ms
(*.f64 y (-.f64 z x))
105.0ms
(+.f64 x (*.f64 1 (*.f64 1 (*.f64 y (-.f64 z x)))))

simplify282.0ms (0.8%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (173.0ms)

IterNodesCost
05010762

prune2.3s (6.8%)

Pruning

60 alts after pruning (56 fresh and 4 done)

PrunedKeptTotal
New621880
Fresh43842
Picked011
Done033
Total6660126

Merged error: 0.0b

Counts
126 → 60
Compiler

Compiled 1411 to 648 computations (54.1% saved)

regimes6.0s (17.9%)

Compiler

Compiled 12382 to 9400 computations (24.1% saved)

bsearch6.4s (18.9%)

simplify30.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02410
12410

end0.0ms (0%)

sample11.0s (32.7%)

Algorithm
intervals
Results
471.0ms8000×body128valid
35.0ms611×body128invalid
Compiler

Compiled 3116 to 2362 computations (24.2% saved)

Pareto

0.0

Profiling

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