Details

Time bar (total: 4.6s)

analyze213.0ms (4.6%)

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
25%74.9%0.1%5
25%68.7%6.3%6
25%53.1%22%7
25%46.8%28.2%8
25%33.6%41.5%9
28.1%18%54%10
31.6%12.1%56.3%11
33.4%5.9%60.8%12
35.2%3.8%61%13
36.1%2.9%61%14
Compiler

Compiled 32 to 20 computations (37.5% saved)

sample27.0ms (0.6%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 65 to 41 computations (36.9% saved)

simplify78.0ms (1.7%)

Algorithm
egg-herbie
Rules
705×unsub-neg_binary64
556×cancel-sign-sub-inv_binary64
344×+-commutative_binary64
342×distribute-rgt-in_binary64
317×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01943
15543
215043
338943
4108343
5223343
6433643
7472443
8493043

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)
Compiler

Compiled 93 to 57 computations (38.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
0.0b
(*.f64 (*.f64 a a) (-.f64 1 a))
0.4b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
0.5b
(*.f64 (*.f64 b b) (+.f64 3 a))

rewrite185.0ms (4%)

Algorithm
rewrite-expression-head
Error
0.1b
Rules
15×pow1_binary64 add-exp-log_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
14×add-cbrt-cube_binary64
10×add-cube-cbrt_binary64 associate-*r*_binary64
pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-rgt-in_binary64 distribute-lft-in_binary64 cancel-sign-sub-inv_binary64
associate-*r/_binary64
Counts
4 → 87
Calls

4 calls:

9.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
8.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
8.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
Compiler

Compiled 3141 to 1575 computations (49.9% saved)

series226.0ms (4.9%)

Error
0.0b
Counts
4 → 53
Calls

4 calls:

89.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (*.f64 (*.f64 a a) (-.f64 1 a)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
53.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
24.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
14.0ms
(*.f64 (*.f64 a a) (-.f64 1 a))
Compiler

Compiled 3004 to 2205 computations (26.6% saved)

simplify147.0ms (3.2%)

Algorithm
egg-herbie
Rules
534×associate-+l+_binary64
345×associate-+r+_binary64
267×associate-*l*_binary64
226×exp-prod_binary64
217×associate-*r*_binary64 +-commutative_binary64
Counts
140 → 115
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02152919
15852604
218682508
342582504
449532504
549462504

prune111.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1123115
Fresh000
Picked101
Done000
Total1133116
Error
0.0b
Counts
116 → 3
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)
12.1b
(-.f64 (+.f64 (*.f64 (pow.f64 a 3) (+.f64 a -4)) (*.f64 (*.f64 a a) (+.f64 (*.f64 2 (*.f64 b b)) 4))) 1)
0.0b
(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a))))) (+.f64 (pow.f64 a 4) (*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))))) 1)
Compiler

Compiled 2432 to 1302 computations (46.5% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))
0.0b
(+.f64 (pow.f64 a 4) (*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))))
0.0b
(-.f64 (*.f64 a a) (pow.f64 a 3))
1.1b
(*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a)))))

rewrite272.0ms (5.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
60×cancel-sign-sub-inv_binary64
31×add-sqr-sqrt_binary64
27×distribute-rgt-in_binary64 distribute-lft-in_binary64
26×associate-+r+_binary64
22×add-cube-cbrt_binary64 *-un-lft-identity_binary64
Counts
4 → 141
Calls

4 calls:

12.0ms
(*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))
10.0ms
(*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a)))))
8.0ms
(+.f64 (pow.f64 a 4) (*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))))
7.0ms
(-.f64 (*.f64 a a) (pow.f64 a 3))
Compiler

Compiled 5026 to 3391 computations (32.5% saved)

series122.0ms (2.6%)

Error
0.0b
Counts
4 → 27
Calls

4 calls:

29.0ms
(+.f64 (pow.f64 a 4) (*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3))))
28.0ms
(*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a)))))
20.0ms
(*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))
19.0ms
(-.f64 (*.f64 a a) (pow.f64 a 3))
Compiler

Compiled 1831 to 1409 computations (23% saved)

simplify133.0ms (2.9%)

Algorithm
egg-herbie
Rules
692×exp-prod_binary64
432×cancel-sign-sub-inv_binary64
302×associate-*l*_binary64
289×associate-*r*_binary64
279×distribute-rgt-out_binary64
Counts
168 → 139
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02072721
15122514
220752499
343342475
449452475

prune137.0ms (3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1381139
Fresh112
Picked011
Done000
Total1393142
Error
0.0b
Counts
142 → 3
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)
0.0b
(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a))))) (+.f64 (pow.f64 a 4) (*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))))) 1)
1.3b
(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a))))) (*.f64 (pow.f64 a 3) (+.f64 a -4)))) 1)
Compiler

Compiled 2923 to 2012 computations (31.2% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
0.0b
(-.f64 (*.f64 a a) (pow.f64 a 3))
0.4b
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
0.5b
(*.f64 (*.f64 b b) (+.f64 3 a))

rewrite163.0ms (3.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
14×add-sqr-sqrt_binary64
12×*-un-lft-identity_binary64 cancel-sign-sub-inv_binary64
10×pow1_binary64 add-exp-log_binary64 add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-log-exp_binary64
Counts
4 → 84
Calls

4 calls:

13.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
9.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
7.0ms
(-.f64 (*.f64 a a) (pow.f64 a 3))
5.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
Compiler

Compiled 2953 to 1497 computations (49.3% saved)

series219.0ms (4.7%)

Error
0.0b
Counts
4 → 53
Calls

4 calls:

90.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 3 a)))))
54.0ms
(pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2)
23.0ms
(*.f64 (*.f64 b b) (+.f64 3 a))
15.0ms
(-.f64 (*.f64 a a) (pow.f64 a 3))
Compiler

Compiled 3004 to 2205 computations (26.6% saved)

simplify164.0ms (3.5%)

Algorithm
egg-herbie
Rules
498×unswap-sqr_binary64
491×exp-prod_binary64
468×cancel-sign-sub-inv_binary64
262×distribute-rgt-out_binary64
227×associate-*l*_binary64
Counts
137 → 108
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02132858
15532568
220782517
346252501
448652501
550252501

prune93.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1080108
Fresh011
Picked011
Done011
Total1083111
Error
0.0b
Counts
111 → 3
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)
0.0b
(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a))))) (+.f64 (pow.f64 a 4) (*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))))) 1)
1.3b
(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a))))) (*.f64 (pow.f64 a 3) (+.f64 a -4)))) 1)
Compiler

Compiled 2123 to 1137 computations (46.4% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 a (+.f64 4 (*.f64 2 a)))
0.0b
(+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a))))) (*.f64 (pow.f64 a 3) (+.f64 a -4))))
0.1b
(*.f64 (pow.f64 a 3) (+.f64 a -4))
1.1b
(*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a)))))

rewrite194.0ms (4.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
21×add-sqr-sqrt_binary64
16×add-exp-log_binary64 associate-*l*_binary64
15×*-un-lft-identity_binary64
13×add-cbrt-cube_binary64
11×pow1_binary64 add-cube-cbrt_binary64
Counts
4 → 95
Calls

4 calls:

12.0ms
(+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a))))) (*.f64 (pow.f64 a 3) (+.f64 a -4))))
9.0ms
(*.f64 (pow.f64 a 3) (+.f64 a -4))
7.0ms
(*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a)))))
6.0ms
(*.f64 a (+.f64 4 (*.f64 2 a)))
Compiler

Compiled 3162 to 2264 computations (28.4% saved)

series167.0ms (3.6%)

Error
0.0b
Counts
4 → 37
Calls

4 calls:

80.0ms
(+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a))))) (*.f64 (pow.f64 a 3) (+.f64 a -4))))
27.0ms
(*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a)))))
18.0ms
(*.f64 (pow.f64 a 3) (+.f64 a -4))
10.0ms
(*.f64 a (+.f64 4 (*.f64 2 a)))
Compiler

Compiled 1945 to 1539 computations (20.9% saved)

simplify132.0ms (2.8%)

Algorithm
egg-herbie
Rules
549×exp-prod_binary64
426×associate-*l*_binary64
371×associate-*r*_binary64
341×cancel-sign-sub-inv_binary64
262×unswap-sqr_binary64
Counts
132 → 103
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02162925
16162532
227282526
345062502
449222502

prune116.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh000
Picked011
Done022
Total1033106
Error
0.0b
Counts
106 → 3
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (pow.f64 (+.f64 (*.f64 a a) (*.f64 b b)) 2) (*.f64 4 (+.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)) (*.f64 (*.f64 b b) (+.f64 3 a))))) 1)
0.0b
(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a))))) (+.f64 (pow.f64 a 4) (*.f64 4 (-.f64 (*.f64 a a) (pow.f64 a 3)))))) 1)
1.3b
(-.f64 (+.f64 (pow.f64 b 4) (+.f64 (*.f64 (*.f64 b b) (+.f64 12 (*.f64 a (+.f64 4 (*.f64 2 a))))) (*.f64 (pow.f64 a 3) (+.f64 a -4)))) 1)
Compiler

Compiled 2302 to 1636 computations (28.9% saved)

regimes815.0ms (17.6%)

Accuracy

Total 0.0b remaining (44.3%)

Threshold costs 0.0b (44.3%)

Compiler

Compiled 17285 to 11808 computations (31.7% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
*-commutative_binary64
sub-neg_binary64
1-exp_binary64 neg-mul-1_binary64 neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02449
14049
24449
34649
44749
54549

end1.0ms (0%)

Compiler

Compiled 35 to 26 computations (25.7% saved)

sample846.0ms (18.2%)

Algorithm
intervals
Results
480.0ms8000×body128valid
1.0msbody128invalid
Compiler

Compiled 164 to 115 computations (29.9% saved)

Profiling

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