Details

Time bar (total: 1.8s)

analyze4.0ms (0.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (0.9%)

Algorithm
intervals
Results
4.0ms63×body512valid
4.0ms150×body128valid
2.0ms19×body1024valid
1.0ms24×body256valid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify100.0ms (5.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
07313
17313

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
14.4b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
2.4b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite31.0ms (1.7%)

Algorithm
rewrite-expression-head
Rules
55×*-un-lft-identity_binary64_78
46×add-sqr-sqrt_binary64_100
45×times-frac_binary64_84
22×add-cube-cbrt_binary64_113
13×cancel-sign-sub-inv_binary64_44
10×distribute-lft-out--_binary64_30
difference-of-squares_binary64_47
distribute-lft-out_binary64_29
div-inv_binary64_75 add-exp-log_binary64_116
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 associate-/r*_binary64_22
associate-/l*_binary64_23 pow1_binary64_139
div-exp_binary64_129 associate-/r/_binary64_24
cbrt-undiv_binary64_112 inv-pow_binary64_163 flip-+_binary64_52 frac-sub_binary64_87 flip3--_binary64_82 diff-log_binary64_170 frac-2neg_binary64_89 1-exp_binary64_122 pow-flip_binary64_152 flip--_binary64_53 rec-exp_binary64_128 clear-num_binary64_77 sub-neg_binary64_71 flip3-+_binary64_81
Counts
2 → 81
Calls

2 calls:

19.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
5.0ms
(/.f64 1 (+.f64 x 1))

series57.0ms (3.1%)

Counts
2 → 24
Calls

2 calls:

31.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
26.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 304 to 263 computations (13.5% saved)

simplify93.0ms (5.1%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049291503
149291503

prune90.0ms (5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1032105
Fresh000
Picked011
Done000
Total1033106
Error
0.0b
Counts
106 → 3
Compiler

Compiled 1494 to 1172 computations (21.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (+.f64 1 x))
0.5b
(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite15.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
add-cbrt-cube_binary64_114 add-exp-log_binary64_116
add-sqr-sqrt_binary64_100 *-un-lft-identity_binary64_78
add-cube-cbrt_binary64_113
associate-*r*_binary64_18 associate-*r/_binary64_20 pow1_binary64_139
associate-*l*_binary64_19 times-frac_binary64_84 associate-/l*_binary64_23
add-log-exp_binary64_117 cbrt-unprod_binary64_111 cbrt-undiv_binary64_112 prod-exp_binary64_127 div-exp_binary64_129 flip-+_binary64_52 associate-/r/_binary64_24 flip3-+_binary64_81
distribute-lft-in_binary64_27 *-commutative_binary64_9 distribute-rgt-in_binary64_28 frac-2neg_binary64_89 div-inv_binary64_75 associate-/r*_binary64_22 pow-prod-down_binary64_149 unswap-sqr_binary64_46 clear-num_binary64_77 distribute-lft-out_binary64_29
Counts
2 → 46
Calls

2 calls:

6.0ms
(*.f64 x (+.f64 1 x))
6.0ms
(/.f64 -1 (*.f64 x (+.f64 1 x)))

series68.0ms (3.7%)

Counts
2 → 18
Calls

2 calls:

37.0ms
(*.f64 x (+.f64 1 x))
31.0ms
(/.f64 -1 (*.f64 x (+.f64 1 x)))
Compiler

Compiled 193 to 172 computations (10.9% saved)

simplify56.0ms (3.1%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05056703

prune50.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh101
Picked101
Done101
Total63467
Error
0.0b
Counts
67 → 4
Compiler

Compiled 727 to 529 computations (27.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite18.0ms (1%)

Algorithm
rewrite-expression-head
Rules
97×times-frac_binary64_84
78×*-un-lft-identity_binary64_78
50×add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113
14×distribute-lft-out_binary64_29
13×associate-/l*_binary64_23
add-cbrt-cube_binary64_114 div-inv_binary64_75 add-exp-log_binary64_116
associate-/r*_binary64_22
cbrt-undiv_binary64_112 div-exp_binary64_129
associate-/r/_binary64_24
add-log-exp_binary64_117 flip-+_binary64_52 frac-2neg_binary64_89 clear-num_binary64_77 associate-/l/_binary64_25 pow1_binary64_139 flip3-+_binary64_81
Counts
1 → 86
Calls

1 calls:

10.0ms
(/.f64 (/.f64 -1 x) (+.f64 1 x))

series28.0ms (1.6%)

Counts
1 → 12
Calls

1 calls:

28.0ms
(/.f64 (/.f64 -1 x) (+.f64 1 x))
Compiler

Compiled 138 to 123 computations (10.9% saved)

simplify89.0ms (4.9%)

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049092004
149092004

prune86.0ms (4.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New97198
Fresh033
Picked011
Done000
Total975102
Error
0.0b
Counts
102 → 5
Compiler

Compiled 1573 to 1121 computations (28.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x x))
0.5b
(/.f64 -1 (+.f64 x (*.f64 x x)))

rewrite11.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity_binary64_78
15×times-frac_binary64_84
12×add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113
distribute-rgt-out_binary64_31 associate-/r*_binary64_22 distribute-rgt1-in_binary64_34
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 add-exp-log_binary64_116
associate-/l*_binary64_23
flip-+_binary64_52 associate-/r/_binary64_24 pow1_binary64_139 flip3-+_binary64_81
+-commutative_binary64_8 cbrt-undiv_binary64_112 div-exp_binary64_129 frac-2neg_binary64_89 div-inv_binary64_75 clear-num_binary64_77 sum-log_binary64_169
Counts
2 → 50
Calls

2 calls:

5.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
3.0ms
(+.f64 x (*.f64 x x))

series68.0ms (3.7%)

Counts
2 → 18
Calls

2 calls:

35.0ms
(+.f64 x (*.f64 x x))
32.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
Compiler

Compiled 193 to 172 computations (10.9% saved)

simplify59.0ms (3.3%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05158966

prune42.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh033
Picked011
Done011
Total68573
Error
0.0b
Counts
73 → 5
Compiler

Compiled 827 to 428 computations (48.2% saved)

regimes58.0ms (3.2%)

Accuracy

Total 0.1b remaining (91.2%)

Threshold costs 0.1b (91.2%)

Compiler

Compiled 480 to 408 computations (15% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample750.0ms (41.3%)

Algorithm
intervals
Results
154.0ms2062×body512valid
121.0ms4533×body128valid
46.0ms955×body256valid
45.0ms450×body1024valid
0.0msbody128invalid
Compiler

Compiled 247 to 211 computations (14.6% saved)

Profiling

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