Details

Time bar (total: 2.6s)

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
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 7 to 6 computations (14.3% saved)

sample11.0ms (0.4%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 13 to 12 computations (7.7% saved)

simplify161.0ms (6.1%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0119
1119

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 28.6b

Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

27.5b
(sqrt.f64 (*.f64 (*.f64 2 x) x))

rewrite5.0ms (0.2%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64_140
3×pow-prod-down_binary64_150 sqrt-pow1_binary64_97
1×sqrt-prod_binary64_95 add-exp-log_binary64_117 add-cbrt-cube_binary64_115 add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 add-log-exp_binary64_118 pow1/2_binary64_159 *-un-lft-identity_binary64_79
Counts
1 → 12
Calls

1 calls:

4.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

series48.0ms (1.8%)

Counts
1 → 3
Calls

1 calls:

48.0ms
(sqrt.f64 (*.f64 (*.f64 2 x) x))

simplify148.0ms (5.6%)

Algorithm
1×egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 0 (142.0ms)

IterNodesCost
04780123
14780123

prune43.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New10515
Fresh000
Picked011
Done000
Total10616

Merged error: 0.2b

Counts
16 → 6
Compiler

Compiled 480 to 387 computations (19.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
27.5b
(sqrt.f64 (*.f64 x (*.f64 2 x)))
27.5b
(sqrt.f64 (*.f64 x (*.f64 2 x)))

rewrite47.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
158×pow1_binary64_140
154×sqrt-pow1_binary64_97
82×pow-prod-down_binary64_150
33×sqrt-prod_binary64_95
28×add-sqr-sqrt_binary64_101
24×pow1/2_binary64_159
21×pow-prod-up_binary64_149
13×add-cube-cbrt_binary64_114 pow-sqr_binary64_52 *-un-lft-identity_binary64_79
9×swap-sqr_binary64_46
7×associate-*l*_binary64_20 associate-*r*_binary64_19
6×add-exp-log_binary64_117 add-cbrt-cube_binary64_115
4×unswap-sqr_binary64_47 add-log-exp_binary64_118
3×rem-sqrt-square_binary64_92
1×sqrt-unprod_binary64_99 rem-square-sqrt_binary64_91 sqr-abs_binary64_94 cbrt-unprod_binary64_112 prod-exp_binary64_128 *-commutative_binary64_10 pow-plus_binary64_142 pow2_binary64_160
Counts
4 → 131
Calls

4 calls:

18.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
5.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

series190.0ms (7.2%)

Counts
4 → 12
Calls

4 calls:

54.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x))))
50.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))))
44.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
42.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

simplify80.0ms (3%)

Algorithm
1×egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
050091257

prune168.0ms (6.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1403143
Fresh044
Picked101
Done011
Total1418149

Merged error: 0.2b

Counts
149 → 8
Compiler

Compiled 2590 to 2023 computations (21.9% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3)))
19.2b
(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3))
27.5b
(sqrt.f64 (*.f64 x (*.f64 2 x)))
27.5b
(sqrt.f64 (*.f64 x (*.f64 x 2)))

rewrite45.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
52×cbrt-prod_binary64_110
43×add-sqr-sqrt_binary64_101
38×sqrt-prod_binary64_95
23×associate-*r*_binary64_19
18×unpow-prod-down_binary64_158 cube-prod_binary64_107 pow1_binary64_140
17×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
14×unswap-sqr_binary64_47
7×associate-*l*_binary64_20 pow-prod-down_binary64_150
6×add-exp-log_binary64_117 sqrt-pow1_binary64_97
5×add-cbrt-cube_binary64_115
4×sqr-pow_binary64_51 add-log-exp_binary64_118
2×cube-mult_binary64_109 pow1/2_binary64_159 unpow3_binary64_145
1×rem-cbrt-cube_binary64_103 cbrt-unprod_binary64_112 prod-exp_binary64_128 *-commutative_binary64_10 pow1/3_binary64_161
Counts
4 → 108
Calls

4 calls:

20.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3)))
5.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

series191.0ms (7.2%)

Counts
4 → 12
Calls

4 calls:

50.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
49.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3))
49.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 2 x)))) (cbrt.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2)))) 3)))
42.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))

simplify62.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
050792001

prune162.0ms (6.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1191120
Fresh156
Picked011
Done011
Total1208128

Merged error: 0.2b

Counts
128 → 8
Compiler

Compiled 2737 to 2157 computations (21.2% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.9b
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))) 4)
27.5b
(sqrt.f64 (*.f64 x (*.f64 2 x)))
27.5b
(sqrt.f64 (*.f64 x (*.f64 x 2)))
27.5b
(sqrt.f64 (*.f64 x (*.f64 x 2)))

rewrite26.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
23×pow1_binary64_140
10×unpow-prod-down_binary64_158
9×pow-prod-down_binary64_150 sqrt-pow1_binary64_97
8×sqrt-prod_binary64_95 add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 *-un-lft-identity_binary64_79
7×cbrt-prod_binary64_110
5×add-exp-log_binary64_117
4×add-cbrt-cube_binary64_115 add-log-exp_binary64_118
3×pow-unpow_binary64_156 pow1/2_binary64_159
2×pow-pow_binary64_151
1×pow-exp_binary64_147 pow-to-exp_binary64_148 sqr-pow_binary64_51 pow1/3_binary64_161
Counts
4 → 61
Calls

4 calls:

6.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
5.0ms
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))) 4)
4.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
4.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))

series454.0ms (17.2%)

Counts
4 → 12
Calls

4 calls:

325.0ms
(pow.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (*.f64 x 2))))) 4)
45.0ms
(sqrt.f64 (*.f64 x (*.f64 2 x)))
43.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))
40.0ms
(sqrt.f64 (*.f64 x (*.f64 x 2)))

simplify95.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (81.0ms)

IterNodesCost
04864872
14864872

prune115.0ms (4.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New73073
Fresh055
Picked011
Done022
Total73881

Merged error: 0.2b

Counts
81 → 8
Compiler

Compiled 2183 to 1723 computations (21.1% saved)

regimes73.0ms (2.8%)

Compiler

Compiled 303 to 260 computations (14.2% saved)

bsearch14.0ms (0.5%)

Steps
ItersRangePoint
9
-3.7200702278433635e-302
2.1738515532578095e-306
-2.1487218123004e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04025
14025

end0.0ms (0%)

sample459.0ms (17.4%)

Algorithm
1×intervals
Results
191.0ms8000×body128valid
Compiler

Compiled 116 to 100 computations (13.8% saved)

Profiling

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