Details

Time bar (total: 3.3s)

analyze442.0ms (13.2%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049759
149759
011
111
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 8 computations (11.1% saved)

sample28.0ms (0.8%)

Algorithm
1×intervals
Results
15.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify135.0ms (4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (129.0ms)

IterNodesCost
049759
149759

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
32.6b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
31.4b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite49.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Error
32.6b
Rules
13×pow1_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64
6×pow-prod-down_binary64
4×add-sqr-sqrt_binary64
3×add-cube-cbrt_binary64 sqrt-pow1_binary64 *-un-lft-identity_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
2×add-log-exp_binary64
1×pow1/2_binary64 sqrt-prod_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
2 → 31
Calls

2 calls:

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

Compiled 344 to 213 computations (38.1% saved)

series83.0ms (2.5%)

Error
0.3b
Counts
2 → 6
Calls

2 calls:

53.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
26.0ms
(*.f64 2 (*.f64 x x))
Compiler

Compiled 96 to 91 computations (5.2% saved)

simplify58.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04932300
14932300

prune38.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New31637
Fresh000
Picked011
Done000
Total31738
Error
0.3b
Counts
38 → 7
Compiler

Compiled 393 to 263 computations (33.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite39.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
8×add-sqr-sqrt_binary64
6×associate-*r*_binary64
4×add-cube-cbrt_binary64 *-un-lft-identity_binary64 sqrt-prod_binary64
3×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 *-commutative_binary64
Counts
1 → 22
Calls

1 calls:

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

Compiled 228 to 188 computations (17.5% saved)

series45.0ms (1.3%)

Error
0.3b
Counts
1 → 3
Calls

1 calls:

43.0ms
(*.f64 x (sqrt.f64 2))
Compiler

Compiled 45 to 43 computations (4.4% saved)

simplify44.0ms (1.3%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05010211

prune35.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New22325
Fresh325
Picked011
Done011
Total25732
Error
0.1b
Counts
32 → 7
Compiler

Compiled 279 to 229 computations (17.9% saved)

localize11.0ms (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)))

rewrite108.0ms (3.2%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
21×sqrt-prod_binary64
18×associate-*r*_binary64
15×add-sqr-sqrt_binary64
9×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64
4×pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls

2 calls:

20.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
17.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
Compiler

Compiled 836 to 753 computations (9.9% saved)

series113.0ms (3.4%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

66.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
44.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))
Compiler

Compiled 135 to 130 computations (3.7% saved)

simplify119.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (103.0ms)

IterNodesCost
05269559

prune72.0ms (2.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh134
Picked011
Done022
Total56763
Error
0.1b
Counts
63 → 7
Compiler

Compiled 739 to 656 computations (11.2% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(*.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))))

rewrite141.0ms (4.2%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
30×sqrt-prod_binary64
25×associate-*r*_binary64
20×add-sqr-sqrt_binary64
17×add-exp-log_binary64
12×unpow-prod-down_binary64
11×add-cube-cbrt_binary64 *-un-lft-identity_binary64
10×prod-exp_binary64
9×add-cbrt-cube_binary64
5×unswap-sqr_binary64
4×pow1_binary64 cbrt-unprod_binary64 associate-*l*_binary64
2×pow-to-exp_binary64 pow-exp_binary64 add-log-exp_binary64 *-commutative_binary64 sqr-pow_binary64
1×pow-prod-down_binary64
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))))
9.0ms
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
Compiler

Compiled 1296 to 1192 computations (8% saved)

series209.0ms (6.2%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

168.0ms
(*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2))
36.0ms
(*.f64 (*.f64 x (pow.f64 (sqrt.f64 (sqrt.f64 2)) 3/2)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
Compiler

Compiled 171 to 166 computations (2.9% saved)

simplify91.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
048871083
148871083

prune100.0ms (3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New67067
Fresh033
Picked011
Done033
Total67774
Error
0.1b
Counts
74 → 7
Compiler

Compiled 1167 to 1070 computations (8.3% saved)

regimes236.0ms (7.1%)

Accuracy

Total 0.3b remaining (74.5%)

Threshold costs 0.3b (74.5%)

Compiler

Compiled 1086 to 914 computations (15.8% saved)

bsearch22.0ms (0.7%)

Steps
ItersRangePoint
10
-2.471537152608442e-308
1.19640854968688e-294
-3.89140349991603e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04929
14929

end0.0ms (0%)

sample1.1s (32.7%)

Algorithm
1×intervals
Results
413.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 289 to 245 computations (15.2% saved)

Profiling

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