Details

Time bar (total: 3.4s)

analyze432.0ms (12.7%)

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)

sample22.0ms (0.7%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify117.0ms (3.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
049759
149759

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
32.1b
Counts
2 → 1
Compiler

Compiled 12 to 10 computations (16.7% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (*.f64 x x))
31.0b
(sqrt.f64 (*.f64 2 (*.f64 x x)))

rewrite47.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Error
32.1b
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)))
5.0ms
(*.f64 2 (*.f64 x x))
Compiler

Compiled 344 to 213 computations (38.1% saved)

series70.0ms (2.1%)

Error
0.2b
Counts
2 → 6
Calls

2 calls:

39.0ms
(sqrt.f64 (*.f64 2 (*.f64 x x)))
24.0ms
(*.f64 2 (*.f64 x x))
Compiler

Compiled 96 to 91 computations (5.2% saved)

simplify55.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04932300
14932300

prune27.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New33437
Fresh000
Picked011
Done000
Total33538
Error
0.2b
Counts
38 → 5
Compiler

Compiled 347 to 232 computations (33.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite23.0ms (0.7%)

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:

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

Compiled 228 to 188 computations (17.5% saved)

series33.0ms (1%)

Error
0.2b
Counts
1 → 3
Calls

1 calls:

31.0ms
(*.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

prune22.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New23225
Fresh033
Picked011
Done011
Total23730
Error
0.1b
Counts
30 → 7
Compiler

Compiled 268 to 225 computations (16% saved)

localize8.0ms (0.2%)

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)))

rewrite86.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
16×pow1_binary64 add-exp-log_binary64
10×associate-*r*_binary64
9×pow-prod-down_binary64 prod-exp_binary64 add-cbrt-cube_binary64 cbrt-unprod_binary64
7×add-sqr-sqrt_binary64
6×add-cube-cbrt_binary64 *-un-lft-identity_binary64 cbrt-prod_binary64
4×associate-*l*_binary64
3×sqrt-prod_binary64
2×add-log-exp_binary64 *-commutative_binary64
1×unswap-sqr_binary64
Counts
2 → 46
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
8.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
Compiler

Compiled 961 to 878 computations (8.6% saved)

series175.0ms (5.2%)

Error
0.1b
Counts
2 → 6
Calls

2 calls:

133.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
35.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))
Compiler

Compiled 162 to 157 computations (3.1% saved)

simplify88.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04908577
14908577

prune54.0ms (1.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New51152
Fresh044
Picked101
Done022
Total52759
Error
0.1b
Counts
59 → 7
Compiler

Compiled 724 to 654 computations (9.7% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))
0.2b
(*.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
0.4b
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))

rewrite252.0ms (7.4%)

Algorithm
1×rewrite-expression-head
Error
0.1b
Rules
66×add-exp-log_binary64
48×prod-exp_binary64
27×associate-*r*_binary64
23×cbrt-prod_binary64
22×add-cbrt-cube_binary64 cbrt-unprod_binary64 add-sqr-sqrt_binary64
17×pow1_binary64
12×add-cube-cbrt_binary64 *-un-lft-identity_binary64 unpow-prod-down_binary64
9×pow-prod-down_binary64
7×sqrt-prod_binary64
6×unswap-sqr_binary64
5×pow-to-exp_binary64 pow-exp_binary64 associate-*l*_binary64
3×add-log-exp_binary64 *-commutative_binary64
2×unpow2_binary64 sqr-pow_binary64
Counts
3 → 97
Calls

3 calls:

20.0ms
(*.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
13.0ms
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
8.0ms
(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))
Compiler

Compiled 3154 to 2977 computations (5.6% saved)

series347.0ms (10.2%)

Error
0.1b
Counts
3 → 9
Calls

3 calls:

167.0ms
(*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2)))))
136.0ms
(*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2))
35.0ms
(*.f64 (*.f64 (*.f64 x (pow.f64 (cbrt.f64 (sqrt.f64 2)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 2))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 2))))
Compiler

Compiled 387 to 379 computations (2.1% saved)

simplify62.0ms (1.8%)

Algorithm
1×egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
051681349

prune140.0ms (4.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1060106
Fresh044
Picked011
Done022
Total1067113
Error
0.1b
Counts
113 → 7
Compiler

Compiled 2038 to 1900 computations (6.8% saved)

regimes218.0ms (6.4%)

Accuracy

Total 0.3b remaining (71%)

Threshold costs 0.3b (71%)

Compiler

Compiled 1298 to 1138 computations (12.3% saved)

bsearch26.0ms (0.8%)

Steps
ItersRangePoint
10
-1.345719563814516e-298
1.150893288152519e-307
3.03460137994257e-310
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05632
15632

end0.0ms (0%)

sample1.0s (29.9%)

Algorithm
1×intervals
Results
375.0ms8000×body128valid
Compiler

Compiled 344 to 303 computations (11.9% saved)

Profiling

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