Details

Time bar (total: 1.7s)

analyze4.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14
Compiler

Compiled 9 to 5 computations (44.4% saved)

sample10.0ms (0.6%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify96.0ms (5.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0139
1139

prune7.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
33.0b
Counts
2 → 1
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

31.8b
(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
4×pow1_binary64_139
2×sqrt-pow1_binary64_96 sqrt-div_binary64_95 associate-*r/_binary64_20
1×add-cbrt-cube_binary64_114 sqrt-prod_binary64_94 add-sqr-sqrt_binary64_100 add-log-exp_binary64_117 flip-+_binary64_52 add-cube-cbrt_binary64_113 add-exp-log_binary64_116 pow-prod-down_binary64_149 pow1/2_binary64_158 *-un-lft-identity_binary64_78 flip3-+_binary64_81
Counts
1 → 13
Calls

1 calls:

5.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

series23.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

23.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify70.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05009140

prune18.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New11516
Fresh000
Picked011
Done000
Total11617
Error
0.2b
Counts
17 → 6
Compiler

Compiled 182 to 80 computations (56% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.5b
(*.f64 x (sqrt.f64 2))

rewrite6.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_100
6×associate-*r*_binary64_18
4×sqrt-prod_binary64_94 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
3×add-cbrt-cube_binary64_114 associate-*l*_binary64_19 add-exp-log_binary64_116 pow1_binary64_139
2×unswap-sqr_binary64_46
1×*-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
Counts
1 → 22
Calls

1 calls:

5.0ms
(*.f64 x (sqrt.f64 2))

series25.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

25.0ms
(*.f64 x (sqrt.f64 2))

simplify45.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05010211

prune24.0ms (1.4%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh044
Picked011
Done011
Total211031
Error
0.1b
Counts
31 → 10
Compiler

Compiled 315 to 251 computations (20.3% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

rewrite20.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64_94
18×associate-*r*_binary64_18
15×add-sqr-sqrt_binary64_100
9×add-cbrt-cube_binary64_114 add-cube-cbrt_binary64_113 add-exp-log_binary64_116 *-un-lft-identity_binary64_78 pow1_binary64_139
4×associate-*l*_binary64_19 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
3×unswap-sqr_binary64_46
2×*-commutative_binary64_9 add-log-exp_binary64_117
Counts
2 → 50
Calls

2 calls:

10.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
6.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series74.0ms (4.4%)

Counts
2 → 6
Calls

2 calls:

44.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
30.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify81.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
05269559

prune53.0ms (3.1%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh347
Picked011
Done022
Total58866
Error
0.0b
Counts
66 → 8
Compiler

Compiled 743 to 648 computations (12.8% saved)

localize10.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
0.3b
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

rewrite26.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
30×sqrt-prod_binary64_94
25×associate-*r*_binary64_18
20×add-sqr-sqrt_binary64_100
17×add-exp-log_binary64_116
12×unpow-prod-down_binary64_157
11×add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
10×prod-exp_binary64_127
9×add-cbrt-cube_binary64_114
5×unswap-sqr_binary64_46
4×associate-*l*_binary64_19 cbrt-unprod_binary64_111 pow1_binary64_139
2×*-commutative_binary64_9 pow-exp_binary64_146 pow-to-exp_binary64_147 add-log-exp_binary64_117 sqr-pow_binary64_50
1×pow-prod-down_binary64_149
Counts
2 → 61
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
8.0ms
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))

series174.0ms (10.3%)

Counts
2 → 6
Calls

2 calls:

146.0ms
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
28.0ms
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

simplify74.0ms (4.4%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
048871083
148871083

prune77.0ms (4.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

PrunedKeptTotal
New66167
Fresh044
Picked011
Done033
Total66975
Error
0.0b
Counts
75 → 9
Compiler

Compiled 1167 to 1070 computations (8.3% saved)

regimes169.0ms (10%)

Accuracy

Total 0.2b remaining (84.2%)

Threshold costs 0.2b (84.2%)

Compiler

Compiled 857 to 648 computations (24.4% saved)

bsearch18.0ms (1%)

Steps
ItersRangePoint
10
-6.306701114199167e-309
6.954193712566015e-299
-2.59892545517975e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06139
16139

end0.0ms (0%)

sample563.0ms (33.3%)

Algorithm
1×intervals
Results
179.0ms8000×body128valid
Compiler

Compiled 219 to 171 computations (21.9% saved)

Profiling

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