Details

Time bar (total: 2.0s)

analyze5.0ms (0.3%)

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 (0.8%)

Algorithm
intervals
Results
5.0ms66×body512valid
4.0ms145×body128valid
2.0ms36×body256valid
1.0msbody1024valid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify100.0ms (5.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
07313
17313

prune6.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 13.9b

Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
2.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite32.0ms (1.6%)

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:

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

series35.0ms (1.8%)

Counts
2 → 14
Calls

2 calls:

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

Compiled 147 to 124 computations (15.6% saved)

simplify97.0ms (4.9%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
051111225

prune79.0ms (4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New94195
Fresh000
Picked011
Done000
Total94296

Merged error: 0.1b

Counts
96 → 2
Compiler

Compiled 1272 to 1004 computations (21.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series54.0ms (2.7%)

Counts
2 → 12
Calls

2 calls:

39.0ms
(*.f64 x (+.f64 1 x))
15.0ms
(/.f64 -1 (*.f64 x (+.f64 1 x)))
Compiler

Compiled 126 to 115 computations (8.7% saved)

simplify58.0ms (3%)

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
06076569

prune45.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New55358
Fresh000
Picked011
Done101
Total56460

Merged error: 0.0b

Counts
60 → 4
Compiler

Compiled 625 to 455 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))

rewrite16.0ms (0.8%)

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:

8.0ms
(/.f64 (/.f64 -1 x) (+.f64 1 x))

series16.0ms (0.8%)

Counts
1 → 6
Calls

1 calls:

15.0ms
(/.f64 (/.f64 -1 x) (+.f64 1 x))
Compiler

Compiled 51 to 46 computations (9.8% saved)

simplify84.0ms (4.3%)

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
050001852

prune81.0ms (4.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh022
Picked011
Done011
Total91596

Merged error: 0.0b

Counts
96 → 5
Compiler

Compiled 1454 to 1035 computations (28.8% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 x (pow.f64 x 3))
0.2b
(/.f64 -1 (-.f64 x (pow.f64 x 3)))
4.7b
(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))

rewrite53.0ms (2.7%)

Algorithm
rewrite-expression-head
Rules
100×add-sqr-sqrt_binary64_100
63×*-un-lft-identity_binary64_78
55×times-frac_binary64_84
36×add-cube-cbrt_binary64_113
34×difference-of-squares_binary64_47
33×associate-*l*_binary64_19
18×cancel-sign-sub-inv_binary64_44
11×unpow-prod-down_binary64_157 cube-prod_binary64_106
10×add-cbrt-cube_binary64_114 add-exp-log_binary64_116
distribute-lft-out--_binary64_30 sqr-pow_binary64_50 associate-/r*_binary64_22 unpow3_binary64_144
distribute-rgt-out--_binary64_32
associate-*r*_binary64_18
add-log-exp_binary64_117 flip3--_binary64_82 flip--_binary64_53 pow1_binary64_139
distribute-lft-in_binary64_27 distribute-rgt-in_binary64_28 associate-/r/_binary64_24
associate-/l*_binary64_23 sub-neg_binary64_71
cbrt-unprod_binary64_111 cbrt-undiv_binary64_112 prod-exp_binary64_127 div-exp_binary64_129 div-inv_binary64_75 frac-times_binary64_88 unswap-sqr_binary64_46 associate-*r/_binary64_20
cube-mult_binary64_108 *-commutative_binary64_9 diff-log_binary64_170 frac-2neg_binary64_89 associate-*l/_binary64_21 pow-prod-down_binary64_149 clear-num_binary64_77
Counts
3 → 149
Calls

3 calls:

20.0ms
(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))
8.0ms
(/.f64 -1 (-.f64 x (pow.f64 x 3)))
7.0ms
(-.f64 x (pow.f64 x 3))

series93.0ms (4.7%)

Counts
3 → 18
Calls

3 calls:

48.0ms
(-.f64 x (pow.f64 x 3))
25.0ms
(/.f64 -1 (-.f64 x (pow.f64 x 3)))
19.0ms
(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))
Compiler

Compiled 250 to 214 computations (14.4% saved)

simplify83.0ms (4.2%)

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049922654
149922654

prune164.0ms (8.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1661167
Fresh112
Picked011
Done022
Total1675172

Merged error: 0b

Counts
172 → 5
Compiler

Compiled 2876 to 2073 computations (27.9% saved)

regimes60.0ms (3%)

Compiler

Compiled 484 to 412 computations (14.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample761.0ms (38.5%)

Algorithm
intervals
Results
145.0ms1951×body512valid
122.0ms4614×body128valid
51.0ms1033×body256valid
40.0ms402×body1024valid
Compiler

Compiled 249 to 213 computations (14.5% saved)

Profiling

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