Details

Time bar (total: 2.3s)

analyze12.0ms (0.5%)

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 7 computations (0% saved)

sample208.0ms (9.1%)

Algorithm
1×intervals
Results
200.0ms256×body128valid
Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify267.0ms (11.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (170.0ms)

IterNodesCost
047569
147569

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 29.0b

Counts
2 → 1
Compiler

Compiled 12 to 11 computations (8.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 2 (pow.f64 x 2))
28.1b
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite14.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
11×add-sqr-sqrt_binary64
8×associate-*r*_binary64
7×add-exp-log_binary64
5×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×add-cbrt-cube_binary64 unswap-sqr_binary64 unpow-prod-down_binary64
3×pow1_binary64 associate-*l*_binary64 prod-exp_binary64
2×add-log-exp_binary64 unpow2_binary64 sqr-pow_binary64
1×pow-to-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 pow-exp_binary64 *-commutative_binary64
Counts
2 → 37
Calls

2 calls:

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

series63.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

33.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
29.0ms
(*.f64 2 (pow.f64 x 2))

simplify52.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04987360
14987360

prune38.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New39443
Fresh000
Picked011
Done000
Total39544

Merged error: 0.2b

Counts
44 → 5
Compiler

Compiled 439 to 309 computations (29.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.3%)

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

1 calls:

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

series32.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

32.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify70.0ms (3.1%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04863270
14863270

prune23.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New21425
Fresh303
Picked011
Done011
Total24630

Merged error: 0.0b

Counts
30 → 6
Compiler

Compiled 287 to 206 computations (28.2% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

rewrite20.0ms (0.9%)

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

2 calls:

10.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))
7.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))

series58.0ms (2.6%)

Counts
2 → 6
Calls

2 calls:

33.0ms
(*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2)))
26.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (fabs.f64 x) (sqrt.f64 (sqrt.f64 2))))

simplify62.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05014685

prune51.0ms (2.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh213
Picked011
Done022
Total57562

Merged error: 0.0b

Counts
62 → 5
Compiler

Compiled 740 to 594 computations (19.7% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.3b
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
0.3b
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))))
0.3b
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))

rewrite43.0ms (1.9%)

Algorithm
1×rewrite-expression-head
Rules
48×sqrt-prod_binary64
22×associate-*l*_binary64
21×add-sqr-sqrt_binary64
19×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-*r*_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×pow-prod-down_binary64 cbrt-unprod_binary64 prod-exp_binary64
3×add-log-exp_binary64 unswap-sqr_binary64 *-commutative_binary64
Counts
3 → 83
Calls

3 calls:

17.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))))
12.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
6.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))

series197.0ms (8.7%)

Counts
3 → 9
Calls

3 calls:

135.0ms
(*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2))))
36.0ms
(*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x))
26.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 2))) (*.f64 (*.f64 (sqrt.f64 (sqrt.f64 2)) (fabs.f64 x)) (sqrt.f64 (sqrt.f64 (sqrt.f64 2)))))

simplify58.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
052051347

prune103.0ms (4.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New92092
Fresh011
Picked011
Done033
Total92597

Merged error: 0.0b

Counts
97 → 5
Compiler

Compiled 1608 to 1385 computations (13.9% saved)

regimes125.0ms (5.5%)

Compiler

Compiled 998 to 838 computations (16% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01523
11523

end0.0ms (0%)

sample742.0ms (32.7%)

Algorithm
1×intervals
Results
275.0ms8000×body128valid
Compiler

Compiled 263 to 224 computations (14.8% saved)

Profiling

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