Details

Time bar (total: 1.6s)

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 (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify97.0ms (6%)

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

Merged error: 32.1b

Counts
2 → 1
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

30.9b
(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite6.0ms (0.4%)

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:

6.0ms
(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)))

simplify74.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
05009140

prune19.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New11516
Fresh000
Picked011
Done000
Total11617

Merged error: 0.2b

Counts
17 → 6
Compiler

Compiled 188 to 78 computations (58.5% saved)

localize3.0ms (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))

series27.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

27.0ms
(*.f64 x (sqrt.f64 2))

simplify42.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05010211

prune23.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New24125
Fresh044
Picked011
Done011
Total24731

Merged error: 0.1b

Counts
31 → 7
Compiler

Compiled 252 to 186 computations (26.2% saved)

localize5.0ms (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)))

series65.0ms (4%)

Counts
2 → 6
Calls

2 calls:

36.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
28.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify77.0ms (4.8%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05269559

prune53.0ms (3.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh134
Picked011
Done022
Total56763

Merged error: 0.1b

Counts
63 → 7
Compiler

Compiled 686 to 585 computations (14.7% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.2b
(*.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))))

rewrite28.0ms (1.7%)

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))))
11.0ms
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))

series189.0ms (11.7%)

Counts
2 → 6
Calls

2 calls:

161.0ms
(*.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))))

simplify70.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
048871083
148871083

prune72.0ms (4.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New67067
Fresh033
Picked011
Done033
Total67774

Merged error: 0.1b

Counts
74 → 7
Compiler

Compiled 1100 to 1003 computations (8.8% saved)

regimes153.0ms (9.4%)

Compiler

Compiled 705 to 488 computations (30.8% saved)

bsearch14.0ms (0.9%)

Steps
ItersRangePoint
8
-2.0481814557165346e-307
4.533461357241021e-306
1.2415392020993e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04234
14234

end0.0ms (0%)

sample521.0ms (32.1%)

Algorithm
1×intervals
Results
186.0ms8000×body128valid
Compiler

Compiled 178 to 130 computations (27% saved)

Profiling

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