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)

sample11.0ms (0.6%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify93.0ms (5.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0139
1139

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
34.5b
Counts
2 → 1
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

33.2b
(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)))

series28.0ms (1.6%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))
Compiler

Compiled 28 to 28 computations (0% saved)

simplify71.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05009140

prune19.0ms (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 174 to 79 computations (54.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b
(*.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))

series31.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

31.0ms
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 30 to 30 computations (0% saved)

simplify43.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05010211

prune21.0ms (1.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New23225
Fresh134
Picked011
Done011
Total24731
Error
0.1b
Counts
31 → 7
Compiler

Compiled 262 to 220 computations (16% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite26.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_116 pow1_binary64_139
10×associate-*r*_binary64_18
9×add-cbrt-cube_binary64_114 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
7×add-sqr-sqrt_binary64_100
6×add-cube-cbrt_binary64_113 cbrt-prod_binary64_109 *-un-lft-identity_binary64_78
4×associate-*l*_binary64_19
3×sqrt-prod_binary64_94
2×*-commutative_binary64_9 add-log-exp_binary64_117
1×unswap-sqr_binary64_46
Counts
2 → 46
Calls

2 calls:

13.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
8.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

series189.0ms (11%)

Counts
2 → 6
Calls

2 calls:

157.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
33.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
Compiler

Compiled 108 to 108 computations (0% saved)

simplify89.0ms (5.2%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
04908577
14908577

prune52.0ms (3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh134
Picked101
Done022
Total53659
Error
0.0b
Counts
59 → 6
Compiler

Compiled 709 to 641 computations (9.6% 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)))
7.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series81.0ms (4.7%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
31.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
Compiler

Compiled 90 to 90 computations (0% saved)

simplify80.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
05269559

prune50.0ms (2.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh033
Picked011
Done022
Total56662
Error
0.0b
Counts
62 → 6
Compiler

Compiled 687 to 611 computations (11.1% saved)

regimes170.0ms (9.9%)

Accuracy

Total 0.3b remaining (85.5%)

Threshold costs 0.3b (85.5%)

Compiler

Compiled 885 to 676 computations (23.6% saved)

bsearch15.0ms (0.9%)

Steps
ItersRangePoint
8
-2.0936606068099685e-305
9.16134623731535e-309
-1.27494079803196e-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%)

sample590.0ms (34.3%)

Algorithm
1×intervals
Results
195.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 226 to 178 computations (21.2% saved)

Profiling

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