Details

Time bar (total: 3.8s)

analyze98.0ms (2.6%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07313
17313
011
111
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)

sample18.0ms (0.5%)

Algorithm
intervals
Results
4.0ms61×body512valid
4.0ms156×body128valid
1.0ms27×body256valid
1.0ms12×body1024valid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify10.0ms (0.3%)

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
13.5b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
3.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite126.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
12.3b
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
add-exp-log_binary64_116 div-inv_binary64_75
add-log-exp_binary64_117 add-cbrt-cube_binary64_114 associate-/r*_binary64_22
pow1_binary64_139 associate-/l*_binary64_23
div-exp_binary64_129 associate-/r/_binary64_24
diff-log_binary64_170 frac-sub_binary64_87 flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53 inv-pow_binary64_163 pow-flip_binary64_152 1-exp_binary64_122 rec-exp_binary64_128 cbrt-undiv_binary64_112 frac-2neg_binary64_89 clear-num_binary64_77 flip3-+_binary64_81 flip-+_binary64_52
Counts
2 → 81
Calls

2 calls:

20.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
5.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 1400 to 1135 computations (18.9% saved)

series86.0ms (2.3%)

Error
0.3b
Counts
2 → 24
Calls

2 calls:

35.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
30.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 608 to 503 computations (17.3% saved)

simplify93.0ms (2.5%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049291503
149291503

prune87.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh000
Picked011
Done000
Total1042106
Error
0.3b
Counts
106 → 2
Compiler

Compiled 1477 to 1147 computations (22.3% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x x))
0.3b
(/.f64 -1 (+.f64 x (*.f64 x x)))

rewrite51.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
17×*-un-lft-identity_binary64_78
15×times-frac_binary64_84
12×add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100
distribute-rgt1-in_binary64_34 distribute-rgt-out_binary64_31 associate-/r*_binary64_22
add-exp-log_binary64_116 add-log-exp_binary64_117 add-cbrt-cube_binary64_114
associate-/l*_binary64_23
pow1_binary64_139 flip3-+_binary64_81 associate-/r/_binary64_24 flip-+_binary64_52
div-exp_binary64_129 cbrt-undiv_binary64_112 frac-2neg_binary64_89 clear-num_binary64_77 div-inv_binary64_75 sum-log_binary64_169 +-commutative_binary64_8
Counts
2 → 50
Calls

2 calls:

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

Compiled 723 to 310 computations (57.1% saved)

series79.0ms (2.1%)

Error
0.3b
Counts
2 → 18
Calls

2 calls:

34.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
33.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 365 to 309 computations (15.3% saved)

simplify59.0ms (1.5%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05158966

prune54.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New64468
Fresh000
Picked101
Done011
Total65570
Error
0.0b
Counts
70 → 5
Compiler

Compiled 884 to 464 computations (47.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 -1 (+.f64 x 1))
0.1b
(/.f64 (/.f64 -1 (+.f64 x 1)) x)

rewrite144.0ms (3.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
114×times-frac_binary64_84
94×*-un-lft-identity_binary64_78
62×add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100
21×associate-/l*_binary64_23
16×distribute-lft-out_binary64_29
10×associate-/r/_binary64_24
add-exp-log_binary64_116 add-cbrt-cube_binary64_114
associate-/r*_binary64_22
div-inv_binary64_75
flip3-+_binary64_81 flip-+_binary64_52
div-exp_binary64_129 cbrt-undiv_binary64_112
pow1_binary64_139 add-log-exp_binary64_117 frac-2neg_binary64_89 clear-num_binary64_77
associate-/l/_binary64_25
Counts
2 → 123
Calls

2 calls:

9.0ms
(/.f64 (/.f64 -1 (+.f64 x 1)) x)
5.0ms
(/.f64 -1 (+.f64 x 1))
Compiler

Compiled 2112 to 1576 computations (25.4% saved)

series78.0ms (2.1%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

35.0ms
(/.f64 (/.f64 -1 (+.f64 x 1)) x)
27.0ms
(/.f64 -1 (+.f64 x 1))
Compiler

Compiled 560 to 455 computations (18.8% saved)

simplify83.0ms (2.2%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
053802672

prune137.0ms (3.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1434147
Fresh213
Picked011
Done011
Total1457152
Error
0b
Counts
152 → 7
Compiler

Compiled 2258 to 1624 computations (28.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 -1 x))
0.3b
(/.f64 1 (*.f64 x (-.f64 -1 x)))

rewrite61.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
15×add-exp-log_binary64_116
12×add-sqr-sqrt_binary64_100
10×*-un-lft-identity_binary64_78
add-cbrt-cube_binary64_114
add-cube-cbrt_binary64_113
pow1_binary64_139
cancel-sign-sub-inv_binary64_44
associate-*r*_binary64_18
prod-exp_binary64_127 div-exp_binary64_129 associate-*r/_binary64_20 distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27
times-frac_binary64_84 associate-/l*_binary64_23 associate-*l*_binary64_19
pow-prod-down_binary64_149 pow-flip_binary64_152 1-exp_binary64_122 rec-exp_binary64_128 add-log-exp_binary64_117 cbrt-undiv_binary64_112 cbrt-unprod_binary64_111 flip3--_binary64_82 associate-/r/_binary64_24 flip--_binary64_53 sub-neg_binary64_71
inv-pow_binary64_163 frac-2neg_binary64_89 clear-num_binary64_77 div-inv_binary64_75 associate-/r*_binary64_22 unswap-sqr_binary64_46 difference-of-squares_binary64_47 distribute-lft-out--_binary64_30 *-commutative_binary64_9
Counts
2 → 60
Calls

2 calls:

7.0ms
(*.f64 x (-.f64 -1 x))
7.0ms
(/.f64 1 (*.f64 x (-.f64 -1 x)))
Compiler

Compiled 769 to 552 computations (28.2% saved)

series87.0ms (2.3%)

Error
0b
Counts
2 → 18
Calls

2 calls:

43.0ms
(*.f64 x (-.f64 -1 x))
33.0ms
(/.f64 1 (*.f64 x (-.f64 -1 x)))
Compiler

Compiled 386 to 330 computations (14.5% saved)

simplify77.0ms (2%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05059823

prune49.0ms (1.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New78078
Fresh044
Picked011
Done022
Total78785
Error
0b
Counts
85 → 7
Compiler

Compiled 806 to 518 computations (35.7% saved)

regimes278.0ms (7.4%)

Accuracy

Total 0.1b remaining (95.6%)

Threshold costs 0.1b (95.6%)

Compiler

Compiled 2895 to 2338 computations (19.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample2.0s (52.8%)

Algorithm
intervals
Results
145.0ms2008×body512valid
124.0ms4585×body128valid
45.0ms969×body256valid
40.0ms438×body1024valid
0.0msbody128invalid
Compiler

Compiled 1410 to 1138 computations (19.3% saved)

Profiling

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