Details

Time bar (total: 1.8s)

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)

simplify165.0ms (9.4%)

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

Merged error: 31.2b

Counts
2 → 1
Compiler

Compiled 12 to 8 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
4×pow1_binary64_135
2×sqrt-pow1_binary64_94 sqrt-div_binary64_93 associate-*r/_binary64_21
1×add-exp-log_binary64_112 sqrt-prod_binary64_92 add-cbrt-cube_binary64_110 pow-prod-down_binary64_145 add-log-exp_binary64_113 flip-+_binary64_51 flip3-+_binary64_80 add-cube-cbrt_binary64_109 pow1/2_binary64_154 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
Counts
1 → 13
Calls

1 calls:

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

series50.0ms (2.8%)

Counts
1 → 3
Calls

1 calls:

50.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify67.0ms (3.8%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04711140
14711140

prune25.0ms (1.4%)

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 206 to 93 computations (54.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64_98
6×associate-*r*_binary64_19
4×sqrt-prod_binary64_92 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
3×add-exp-log_binary64_112 associate-*l*_binary64_20 add-cbrt-cube_binary64_110 pow1_binary64_135
2×unswap-sqr_binary64_45
1×pow-prod-down_binary64_145 add-log-exp_binary64_113 cbrt-unprod_binary64_107 prod-exp_binary64_123 *-commutative_binary64_10
Counts
1 → 22
Calls

1 calls:

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

series51.0ms (2.9%)

Counts
1 → 3
Calls

1 calls:

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

simplify43.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04987211
14987211

prune27.0ms (1.5%)

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 306 to 242 computations (20.9% 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)))

rewrite27.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
16×add-exp-log_binary64_112 pow1_binary64_135
10×associate-*r*_binary64_19
9×add-cbrt-cube_binary64_110 pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123
7×add-sqr-sqrt_binary64_98
6×cbrt-prod_binary64_105 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
4×associate-*l*_binary64_20
3×sqrt-prod_binary64_92
2×add-log-exp_binary64_113 *-commutative_binary64_10
1×unswap-sqr_binary64_45
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)))
9.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))

series330.0ms (18.8%)

Counts
2 → 6
Calls

2 calls:

276.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
54.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify70.0ms (4%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05074577

prune52.0ms (2.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh077
Picked011
Done022
Total521062

Merged error: 0.0b

Counts
62 → 10
Compiler

Compiled 739 to 648 computations (12.3% 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)))

rewrite23.0ms (1.3%)

Algorithm
1×rewrite-expression-head
Rules
21×sqrt-prod_binary64_92
18×associate-*r*_binary64_19
15×add-sqr-sqrt_binary64_98
9×add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135 add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
4×associate-*l*_binary64_20 pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123
3×unswap-sqr_binary64_45
2×add-log-exp_binary64_113 *-commutative_binary64_10
Counts
2 → 50
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
7.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))

series130.0ms (7.4%)

Counts
2 → 6
Calls

2 calls:

79.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
51.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify57.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05190577

prune49.0ms (2.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New56056
Fresh066
Picked011
Done033
Total561066

Merged error: 0.0b

Counts
66 → 10
Compiler

Compiled 696 to 620 computations (10.9% saved)

regimes26.0ms (1.5%)

Compiler

Compiled 101 to 74 computations (26.7% saved)

bsearch19.0ms (1.1%)

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
06141
16141

end0.0ms (0%)

sample489.0ms (27.9%)

Algorithm
1×intervals
Results
194.0ms8000×body128valid
Compiler

Compiled 133 to 99 computations (25.6% saved)

Profiling

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