Details

Time bar (total: 3.6s)

analyze103.0ms (2.8%)

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
3.0ms138×body128valid
2.0ms40×body256valid
2.0ms17×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
14.6b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
3.9b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite132.0ms (3.6%)

Algorithm
rewrite-expression-head
Error
13.6b
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))
9.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 1400 to 1135 computations (18.9% saved)

series80.0ms (2.2%)

Error
0.4b
Counts
2 → 24
Calls

2 calls:

30.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
26.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 608 to 503 computations (17.3% saved)

simplify94.0ms (2.6%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
049291503
149291503

prune88.0ms (2.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1041105
Fresh000
Picked011
Done000
Total1042106
Error
0.4b
Counts
106 → 2
Compiler

Compiled 1477 to 1147 computations (22.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x x))
0.4b
(/.f64 -1 (+.f64 x (*.f64 x x)))

rewrite48.0ms (1.3%)

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 (2.2%)

Error
0.4b
Counts
2 → 18
Calls

2 calls:

35.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
33.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 365 to 309 computations (15.3% saved)

simplify60.0ms (1.6%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05158966

prune52.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New65368
Fresh000
Picked011
Done011
Total65570
Error
0.0b
Counts
70 → 5
Compiler

Compiled 865 to 450 computations (48% saved)

localize4.0ms (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)

rewrite147.0ms (4%)

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:

11.0ms
(/.f64 (/.f64 -1 (+.f64 x 1)) x)
5.0ms
(/.f64 -1 (+.f64 x 1))
Compiler

Compiled 2112 to 1576 computations (25.4% saved)

series75.0ms (2.1%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

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

Compiled 560 to 455 computations (18.8% saved)

simplify84.0ms (2.3%)

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
053802672

prune127.0ms (3.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1461147
Fresh022
Picked011
Done022
Total1466152
Error
0b
Counts
152 → 6
Compiler

Compiled 2222 to 1585 computations (28.7% 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)) (/.f64 -1 x))

rewrite123.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
43×add-sqr-sqrt_binary64_100
42×*-un-lft-identity_binary64_78
40×times-frac_binary64_84
28×add-exp-log_binary64_116
26×add-cube-cbrt_binary64_113
18×associate-*l*_binary64_19
16×add-cbrt-cube_binary64_114
13×associate-*r*_binary64_18
10×div-exp_binary64_129
prod-exp_binary64_127
distribute-lft-out_binary64_29
unswap-sqr_binary64_46
pow1_binary64_139 cbrt-undiv_binary64_112
cbrt-unprod_binary64_111 associate-/r/_binary64_24 associate-/r*_binary64_22
1-exp_binary64_122 rec-exp_binary64_128 div-inv_binary64_75 associate-/l*_binary64_23
add-log-exp_binary64_117 flip3-+_binary64_81 flip-+_binary64_52
pow-prod-down_binary64_149 frac-times_binary64_88 associate-*l/_binary64_21 associate-*r/_binary64_20 *-commutative_binary64_9 inv-pow_binary64_163 pow-flip_binary64_152 frac-2neg_binary64_89 clear-num_binary64_77
Counts
2 → 98
Calls

2 calls:

17.0ms
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
5.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 1662 to 1346 computations (19% saved)

series78.0ms (2.1%)

Error
0b
Counts
2 → 24
Calls

2 calls:

33.0ms
(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -1 x))
27.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 608 to 503 computations (17.3% saved)

simplify80.0ms (2.2%)

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
054911627

prune95.0ms (2.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1211122
Fresh112
Picked011
Done033
Total1226128
Error
0b
Counts
128 → 6
Compiler

Compiled 1651 to 1268 computations (23.2% saved)

regimes245.0ms (6.7%)

Accuracy

Total 0.1b remaining (96.8%)

Threshold costs 0.1b (96.8%)

Compiler

Compiled 2671 to 2139 computations (19.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample1.8s (49.3%)

Algorithm
intervals
Results
135.0ms1916×body512valid
126.0ms4621×body128valid
48.0ms1039×body256valid
38.0ms424×body1024valid
Compiler

Compiled 1313 to 1051 computations (20% saved)

Profiling

Loading profile data...