Details

Time bar (total: 4.0s)

analyze111.0ms (2.8%)

Algorithm
1×search
2×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)

sample22.0ms (0.6%)

Algorithm
1×intervals
Results
6.0ms66×body512valid
5.0ms151×body128valid
2.0ms15×body1024valid
1.0ms24×body256valid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify11.0ms (0.3%)

Algorithm
1×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
14.1b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite93.0ms (2.3%)

Algorithm
1×rewrite-expression-head
Error
13.2b
Rules
37×*-un-lft-identity_binary64_78
36×add-sqr-sqrt_binary64_100
33×times-frac_binary64_84
13×cancel-sign-sub-inv_binary64_44
12×add-cube-cbrt_binary64_113
10×distribute-lft-out--_binary64_30
9×difference-of-squares_binary64_47
5×div-inv_binary64_75
3×add-log-exp_binary64_117 distribute-lft-out_binary64_29
1×diff-log_binary64_170 pow1_binary64_139 add-exp-log_binary64_116 add-cbrt-cube_binary64_114 frac-sub_binary64_87 flip3--_binary64_82 sub-neg_binary64_71 flip--_binary64_53
Counts
1 → 44
Calls

1 calls:

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

Compiled 824 to 658 computations (20.1% saved)

series53.0ms (1.3%)

Error
0.3b
Counts
1 → 12
Calls

1 calls:

40.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 276 to 235 computations (14.9% saved)

simplify104.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
05046925

prune55.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52456
Fresh000
Picked011
Done000
Total52557
Error
0.3b
Counts
57 → 5
Compiler

Compiled 885 to 689 computations (22.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite69.0ms (1.7%)

Algorithm
1×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
5×distribute-rgt1-in_binary64_34 distribute-rgt-out_binary64_31 associate-/r*_binary64_22
4×add-exp-log_binary64_116 add-log-exp_binary64_117 add-cbrt-cube_binary64_114
3×associate-/l*_binary64_23
2×pow1_binary64_139 flip3-+_binary64_81 associate-/r/_binary64_24 flip-+_binary64_52
1×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:

12.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
5.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 723 to 310 computations (57.1% saved)

series102.0ms (2.5%)

Error
0.3b
Counts
2 → 18
Calls

2 calls:

40.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
40.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 365 to 309 computations (15.3% saved)

simplify85.0ms (2.1%)

Algorithm
1×egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05158966

prune80.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New65368
Fresh303
Picked101
Done101
Total70373
Error
0.0b
Counts
73 → 3
Compiler

Compiled 863 to 448 computations (48.1% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite141.0ms (3.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
97×times-frac_binary64_84
78×*-un-lft-identity_binary64_78
50×add-cube-cbrt_binary64_113 add-sqr-sqrt_binary64_100
14×distribute-lft-out_binary64_29
13×associate-/l*_binary64_23
6×add-exp-log_binary64_116 add-cbrt-cube_binary64_114 div-inv_binary64_75
4×associate-/r*_binary64_22
3×div-exp_binary64_129 cbrt-undiv_binary64_112
2×associate-/r/_binary64_24
1×pow1_binary64_139 add-log-exp_binary64_117 frac-2neg_binary64_89 clear-num_binary64_77 associate-/l/_binary64_25 flip3-+_binary64_81 flip-+_binary64_52
Counts
1 → 86
Calls

1 calls:

16.0ms
(/.f64 (/.f64 -1 x) (+.f64 1 x))
Compiler

Compiled 1516 to 1131 computations (25.4% saved)

series72.0ms (1.8%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

60.0ms
(/.f64 (/.f64 -1 x) (+.f64 1 x))
Compiler

Compiled 276 to 235 computations (14.9% saved)

simplify91.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049092004
149092004

prune115.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New94498
Fresh112
Picked011
Done000
Total956101
Error
0.0b
Counts
101 → 6
Compiler

Compiled 1581 to 1137 computations (28.1% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite79.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
15×add-exp-log_binary64_116
12×add-sqr-sqrt_binary64_100
10×*-un-lft-identity_binary64_78
9×add-cbrt-cube_binary64_114
8×add-cube-cbrt_binary64_113
7×pow1_binary64_139
6×cancel-sign-sub-inv_binary64_44
5×associate-*r*_binary64_18
4×prod-exp_binary64_127 div-exp_binary64_129 associate-*r/_binary64_20 distribute-rgt-in_binary64_28 distribute-lft-in_binary64_27
3×times-frac_binary64_84 associate-/l*_binary64_23 associate-*l*_binary64_19
2×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
1×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:

12.0ms
(/.f64 1 (*.f64 x (-.f64 -1 x)))
11.0ms
(*.f64 x (-.f64 -1 x))
Compiler

Compiled 769 to 552 computations (28.2% saved)

series102.0ms (2.5%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

55.0ms
(*.f64 x (-.f64 -1 x))
35.0ms
(/.f64 1 (*.f64 x (-.f64 -1 x)))
Compiler

Compiled 386 to 330 computations (14.5% saved)

simplify102.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (82.0ms)

IterNodesCost
05059823

prune48.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh134
Picked011
Done011
Total78684
Error
0.0b
Counts
84 → 6
Compiler

Compiled 806 to 518 computations (35.7% saved)

regimes295.0ms (7.3%)

Accuracy

Total 0.1b remaining (96.8%)

Threshold costs 0.1b (96.8%)

Compiler

Compiled 2343 to 1846 computations (21.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample2.2s (53.6%)

Algorithm
1×intervals
Results
180.0ms2007×body512valid
154.0ms4530×body128valid
60.0ms1019×body256valid
54.0ms444×body1024valid
0.0ms1×body128invalid
Compiler

Compiled 1134 to 892 computations (21.3% saved)

Profiling

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