Details

Time bar (total: 2.0s)

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 (0.5%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 17 to 10 computations (41.2% saved)

simplify161.0ms (8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0139
1139

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 31.2b

Counts
2 → 1
Compiler

Compiled 26 to 16 computations (38.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

30.2b
(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
4×pow1_binary64_140
2×associate-*r/_binary64_21 sqrt-pow1_binary64_97 sqrt-div_binary64_96
1×sqrt-prod_binary64_95 add-exp-log_binary64_117 add-cbrt-cube_binary64_115 flip-+_binary64_53 add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 pow-prod-down_binary64_150 add-log-exp_binary64_118 pow1/2_binary64_159 flip3-+_binary64_82 *-un-lft-identity_binary64_79
Counts
1 → 13
Calls

1 calls:

6.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

series47.0ms (2.3%)

Counts
1 → 3
Calls

1 calls:

47.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify72.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04711140
14711140

prune59.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New9716
Fresh000
Picked011
Done000
Total9817

Merged error: 0.1b

Counts
17 → 8
Compiler

Compiled 723 to 386 computations (46.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b
(*.f64 x (sqrt.f64 2))

rewrite7.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_101
6×associate-*r*_binary64_19
4×sqrt-prod_binary64_95 add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
3×add-exp-log_binary64_117 associate-*l*_binary64_20 add-cbrt-cube_binary64_115 pow1_binary64_140
2×unswap-sqr_binary64_47
1×cbrt-unprod_binary64_112 prod-exp_binary64_128 *-commutative_binary64_10 pow-prod-down_binary64_150 add-log-exp_binary64_118
Counts
1 → 22
Calls

1 calls:

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

series52.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

52.0ms
(*.f64 x (sqrt.f64 2))

simplify44.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04987211
14987211

prune65.0ms (3.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh156
Picked011
Done011
Total231033

Merged error: 0.0b

Counts
33 → 10
Compiler

Compiled 835 to 600 computations (28.1% saved)

localize7.0ms (0.3%)

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)))

rewrite29.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_117 pow1_binary64_140
10×associate-*r*_binary64_19
9×add-cbrt-cube_binary64_115 cbrt-unprod_binary64_112 prod-exp_binary64_128 pow-prod-down_binary64_150
7×add-sqr-sqrt_binary64_101
6×add-cube-cbrt_binary64_114 cbrt-prod_binary64_110 *-un-lft-identity_binary64_79
4×associate-*l*_binary64_20
3×sqrt-prod_binary64_95
2×*-commutative_binary64_10 add-log-exp_binary64_118
1×unswap-sqr_binary64_47
Counts
2 → 46
Calls

2 calls:

16.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
9.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

series321.0ms (15.9%)

Counts
2 → 6
Calls

2 calls:

270.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
51.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify55.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04902577
14902577

prune62.0ms (3.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh077
Picked101
Done022
Total521062

Merged error: 0.0b

Counts
62 → 10
Compiler

Compiled 862 to 744 computations (13.7% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite28.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
23×associate-*r*_binary64_19
20×add-sqr-sqrt_binary64_101
17×add-exp-log_binary64_117
14×cbrt-prod_binary64_110
12×unpow-prod-down_binary64_158
10×add-cube-cbrt_binary64_114 prod-exp_binary64_128 *-un-lft-identity_binary64_79
7×sqrt-prod_binary64_95 add-cbrt-cube_binary64_115
6×unswap-sqr_binary64_47
4×associate-*l*_binary64_20 cbrt-unprod_binary64_112 pow1_binary64_140
2×pow-exp_binary64_147 pow-to-exp_binary64_148 unpow2_binary64_144 sqr-pow_binary64_51 *-commutative_binary64_10 add-log-exp_binary64_118
1×pow-prod-down_binary64_150
Counts
2 → 60
Calls

2 calls:

12.0ms
(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))
11.0ms
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (cbrt.f64 (sqrt.f64 2)))

series318.0ms (15.7%)

Counts
2 → 6
Calls

2 calls:

270.0ms
(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))
48.0ms
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (cbrt.f64 (sqrt.f64 2)))

simplify72.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05118761

prune63.0ms (3.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh077
Picked011
Done022
Total661076

Merged error: 0.0b

Counts
76 → 10
Compiler

Compiled 928 to 833 computations (10.2% saved)

regimes26.0ms (1.3%)

Compiler

Compiled 99 to 72 computations (27.3% saved)

bsearch18.0ms (0.9%)

Steps
ItersRangePoint
10
-4.370616442409757e-307
3.3951688028575574e-297
-1.9485061045363e-311
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05937
15937

end0.0ms (0%)

sample471.0ms (23.3%)

Algorithm
1×intervals
Results
194.0ms8000×body128valid
Compiler

Compiled 129 to 95 computations (26.4% saved)

Profiling

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