Details

Time bar (total: 3.8s)

analyze4.0ms (0.1%)

Algorithm
1×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)

sample18.0ms (0.5%)

Algorithm
1×intervals
Results
4.0ms62×body512valid
4.0ms145×body128valid
2.0ms34×body256valid
1.0ms15×body1024valid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify104.0ms (2.7%)

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
16.3b
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))
3.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite130.0ms (3.4%)

Algorithm
1×rewrite-expression-head
Error
14.7b
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
9×difference-of-squares_binary64_47
7×distribute-lft-out_binary64_29
6×add-exp-log_binary64_116 div-inv_binary64_75
4×add-log-exp_binary64_117 add-cbrt-cube_binary64_114 associate-/r*_binary64_22
3×pow1_binary64_139 associate-/l*_binary64_23
2×div-exp_binary64_129 associate-/r/_binary64_24
1×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)

series79.0ms (2.1%)

Error
0.5b
Counts
2 → 20
Calls

2 calls:

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

Compiled 512 to 425 computations (17% saved)

simplify71.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050881373

prune83.0ms (2.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New992101
Fresh000
Picked101
Done000
Total1002102
Error
0.5b
Counts
102 → 2
Compiler

Compiled 1398 to 1091 computations (22% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite53.0ms (1.4%)

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:

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
0.5b
Counts
2 → 16
Calls

2 calls:

37.0ms
(+.f64 x (*.f64 x x))
33.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
Compiler

Compiled 319 to 271 computations (15% saved)

simplify56.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04979898
14979898

prune54.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New61566
Fresh101
Picked011
Done000
Total62668
Error
0.0b
Counts
68 → 6
Compiler

Compiled 880 to 447 computations (49.2% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite97.0ms (2.5%)

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:

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

Compiled 1516 to 1131 computations (25.4% saved)

series37.0ms (1%)

Error
0.0b
Counts
1 → 10
Calls

1 calls:

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

Compiled 230 to 197 computations (14.3% saved)

simplify85.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
050081936

prune86.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New93396
Fresh224
Picked011
Done011
Total957102
Error
0.0b
Counts
102 → 7
Compiler

Compiled 1549 to 1101 computations (28.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite80.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64_109
23×add-sqr-sqrt_binary64_100
15×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
11×pow1_binary64_139
9×pow1/3_binary64_160
6×add-exp-log_binary64_116 swap-sqr_binary64_45 associate-*l*_binary64_19 associate-*r*_binary64_18
4×add-log-exp_binary64_117 add-cbrt-cube_binary64_114 unswap-sqr_binary64_46
2×pow-prod-down_binary64_149 pow-prod-up_binary64_148 pow-sqr_binary64_51
1×pow2_binary64_159 pow-plus_binary64_141 prod-exp_binary64_127 cbrt-unprod_binary64_111 *-commutative_binary64_9
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1524 to 743 computations (51.2% saved)

series320.0ms (8.3%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

84.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
78.0ms
(cbrt.f64 x)
76.0ms
(cbrt.f64 x)
72.0ms
(cbrt.f64 x)
Compiler

Compiled 663 to 513 computations (22.6% saved)

simplify75.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
04873548
14873548

prune74.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New84185
Fresh044
Picked011
Done112
Total85792
Error
0b
Counts
92 → 7
Compiler

Compiled 1573 to 894 computations (43.2% saved)

regimes270.0ms (7%)

Accuracy

Total 0.1b remaining (97.8%)

Threshold costs 0.1b (97.8%)

Compiler

Compiled 2948 to 2302 computations (21.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0910
1910

end0.0ms (0%)

sample2.0s (51%)

Algorithm
1×intervals
Results
142.0ms1955×body512valid
117.0ms4606×body128valid
46.0ms1000×body256valid
39.0ms439×body1024valid
0.0ms1×body128invalid
Compiler

Compiled 1426 to 1111 computations (22.1% saved)

Profiling

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