Details

Time bar (total: 3.8s)

analyze284.0ms (7.5%)

Algorithm
1×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
15.6%84.3%0.1%7
29.6%70.2%0.1%8
36.7%60.1%3.3%9
43.3%49.5%7.2%10
52.1%39.2%8.7%11
57.6%31.1%11.3%12
60.6%25.6%13.8%13
65.2%20.4%14.4%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.4%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
1.0ms29×body128invalid
Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify106.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
030110
130110

prune5.0ms (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)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite19.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
9×add-sqr-sqrt_binary64_15104
7×*-un-lft-identity_binary64_15082
6×associate-*l*_binary64_15023
4×add-cube-cbrt_binary64_15117 add-cbrt-cube_binary64_15118 pow1_binary64_15143 add-log-exp_binary64_15121 add-exp-log_binary64_15120
3×associate-*r*_binary64_15022
2×difference-of-squares_binary64_15051 associate-*l/_binary64_15025
1×pow-prod-down_binary64_15153 unswap-sqr_binary64_15050 sum-log_binary64_15173 prod-exp_binary64_15131 distribute-lft-out--_binary64_15034 flip3--_binary64_15086 flip-+_binary64_15056 cbrt-unprod_binary64_15115 +-commutative_binary64_15012 *-commutative_binary64_15013 flip--_binary64_15057 flip3-+_binary64_15085
Counts
2 → 34
Calls

4 calls:

9.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
8.0ms
(*.f64 (-.f64 1 x) y)
0.0ms
(*.f64 (-.f64 1 x) y)
0.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))

series186.0ms (4.9%)

Counts
2 → 27
Calls

2 calls:

129.0ms
(+.f64 (*.f64 (-.f64 1 x) y) (*.f64 x z))
57.0ms
(*.f64 (-.f64 1 x) y)
Compiler

Compiled 332 to 283 computations (14.8% saved)

simplify66.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05615606

prune40.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New61061
Fresh011
Picked011
Done000
Total61263
Error
0.0b
Counts
63 → 2
Compiler

Compiled 672 to 276 computations (58.9% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite16.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
12×cancel-sign-sub-inv_binary64_15048 add-sqr-sqrt_binary64_15104
10×*-un-lft-identity_binary64_15082
8×distribute-rgt-in_binary64_15032 add-cube-cbrt_binary64_15117 distribute-lft-in_binary64_15031 associate-+r+_binary64_15014
5×associate-*r*_binary64_15022
4×add-cbrt-cube_binary64_15118 sub-neg_binary64_15075 pow1_binary64_15143 add-log-exp_binary64_15121 add-exp-log_binary64_15120
3×associate-*l*_binary64_15023
2×associate-*r/_binary64_15024
1×pow-prod-down_binary64_15153 unswap-sqr_binary64_15050 sum-log_binary64_15173 prod-exp_binary64_15131 distribute-lft-out--_binary64_15034 flip3--_binary64_15086 difference-of-squares_binary64_15051 flip-+_binary64_15056 cbrt-unprod_binary64_15115 +-commutative_binary64_15012 *-commutative_binary64_15013 flip--_binary64_15057 flip3-+_binary64_15085
Counts
2 → 49
Calls

4 calls:

8.0ms
(*.f64 x (-.f64 z y))
5.0ms
(+.f64 y (*.f64 x (-.f64 z y)))
0.0ms
(+.f64 y (*.f64 x (-.f64 z y)))
0.0ms
(*.f64 x (-.f64 z y))

series217.0ms (5.7%)

Counts
2 → 33
Calls

2 calls:

122.0ms
(+.f64 y (*.f64 x (-.f64 z y)))
94.0ms
(*.f64 x (-.f64 z y))
Compiler

Compiled 387 to 328 computations (15.2% saved)

simplify85.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
04912764
14912764

prune48.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New81182
Fresh000
Picked011
Done101
Total82284
Error
0b
Counts
84 → 2
Compiler

Compiled 826 to 163 computations (80.3% saved)

localize10.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b
(*.f64 x (-.f64 z y))
0.0b
(*.f64 x (-.f64 z y))
0.0b
(*.f64 x (-.f64 z y))
0.0b
(+.f64 y (*.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y)))) (cbrt.f64 (*.f64 x (-.f64 z y)))))
0.5b
(*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y))))
4.1b
(cbrt.f64 (*.f64 x (-.f64 z y)))
4.1b
(cbrt.f64 (*.f64 x (-.f64 z y)))
4.1b
(cbrt.f64 (*.f64 x (-.f64 z y)))

rewrite32.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
20×associate-*r/_binary64_15024
18×cbrt-div_binary64_15114
11×pow1_binary64_15143
10×add-sqr-sqrt_binary64_15104
9×pow1/3_binary64_15164 flip3--_binary64_15086 flip--_binary64_15057
8×add-cube-cbrt_binary64_15117 *-un-lft-identity_binary64_15082
7×cbrt-prod_binary64_15113
6×add-exp-log_binary64_15120
4×frac-times_binary64_15092 add-cbrt-cube_binary64_15118 add-log-exp_binary64_15121 associate-*l*_binary64_15023 swap-sqr_binary64_15049 associate-*r*_binary64_15022
2×pow-prod-down_binary64_15153 pow-prod-up_binary64_15152 pow-sqr_binary64_15055 associate-*l/_binary64_15025
1×unswap-sqr_binary64_15050 prod-exp_binary64_15131 pow2_binary64_15163 cbrt-unprod_binary64_15115 *-commutative_binary64_15013 pow-plus_binary64_15145
Counts
4 → 72
Calls

8 calls:

8.0ms
(*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y))))
6.0ms
(cbrt.f64 (*.f64 x (-.f64 z y)))
5.0ms
(cbrt.f64 (*.f64 x (-.f64 z y)))
5.0ms
(cbrt.f64 (*.f64 x (-.f64 z y)))
0.0ms
(+.f64 y (*.f64 (*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y)))) (cbrt.f64 (*.f64 x (-.f64 z y)))))

series1.1s (29.8%)

Counts
4 → 62
Calls

4 calls:

324.0ms
(*.f64 (cbrt.f64 (*.f64 x (-.f64 z y))) (cbrt.f64 (*.f64 x (-.f64 z y))))
274.0ms
(cbrt.f64 (*.f64 x (-.f64 z y)))
265.0ms
(cbrt.f64 (*.f64 x (-.f64 z y)))
263.0ms
(cbrt.f64 (*.f64 x (-.f64 z y)))
Compiler

Compiled 3965 to 2843 computations (28.3% saved)

simplify77.0ms (2%)

Algorithm
1×egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
049812760
149812760

prune126.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1340134
Fresh000
Picked011
Done011
Total1342136
Error
0b
Counts
136 → 2
Compiler

Compiled 3807 to 1012 computations (73.4% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
069129
169129

regimes62.0ms (1.6%)

Compiler

Compiled 264 to 252 computations (4.5% saved)

bsearch0.0ms (0%)

regimes89.0ms (2.4%)

Compiler

Compiled 87 to 138 computations (-58.6% saved)

bsearch21.0ms (0.5%)

Steps
ItersRangePoint
10
1.2887706957549124e-23
1.598830498415577e-09
1.5775623304480582e-09
2
-1233861166665.6997
-1089663421842.877
-1099291293765.1237
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes91.0ms (2.4%)

Compiler

Compiled 57 to 108 computations (-89.5% saved)

bsearch28.0ms (0.8%)

Steps
ItersRangePoint
8
1.3387513674409617e-148
7.567693085554915e-145
6.606265050228552e-146
8
-3.2722308719811303e-130
-4.99189282237791e-134
-1.103926961233952e-132
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes35.0ms (0.9%)

Compiler

Compiled 42 to 90 computations (-114.3% saved)

bsearch0.0ms (0%)

regimes108.0ms (2.9%)

Compiler

Compiled 27 to 75 computations (-177.8% saved)

bsearch30.0ms (0.8%)

Steps
ItersRangePoint
10
1.2887706957549124e-23
1.598830498415577e-09
1.9577298174543044e-11
10
-109303372001.62778
-0.00552815294236619
-0.005612410766787685
Compiler

Compiled 1 to 3 computations (-200% saved)

regimes29.0ms (0.8%)

Compiler

Compiled 18 to 63 computations (-250% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.7%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch0.0ms (0%)

regimes24.0ms (0.6%)

Accuracy

Total 0.0b remaining (62.2%)

Threshold costs 0.0b (62.2%)

Compiler

Compiled 12 to 42 computations (-250% saved)

bsearch6.0ms (0.1%)

Compiler

Compiled 76 to 59 computations (22.4% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06395
16395

end0.0ms (0%)

sample746.0ms (19.7%)

Algorithm
1×intervals
Results
223.0ms8000×body128valid
21.0ms641×body128invalid
Compiler

Compiled 169 to 158 computations (6.5% saved)

Pareto

0.2943835364224931

Profiling

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