Details

Time bar (total: 2.6s)

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)

sample18.0ms (0.7%)

Algorithm
1×intervals
Results
11.0ms256×body80valid
Compiler

Compiled 13 to 14 computations (-7.7% saved)

simplify317.0ms (12.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (179.0ms)

IterNodesCost
047209
147209

prune16.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 31.5b

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))
30.4b
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))

rewrite197.0ms (7.7%)

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 insert-posit16
1×pow-to-exp_binary64 pow1/2_binary64 cbrt-unprod_binary64 sqrt-pow1_binary64 sqrt-prod_binary64 pow-exp_binary64 *-commutative_binary64
Counts
2 → 39
Calls

2 calls:

188.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
7.0ms
(*.f64 2 (pow.f64 x 2))

series108.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

69.0ms
(sqrt.f64 (*.f64 2 (pow.f64 x 2)))
39.0ms
(*.f64 2 (pow.f64 x 2))

simplify119.0ms (4.6%)

Algorithm
1×egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (99.0ms)

IterNodesCost
05204388

prune43.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New41445
Fresh000
Picked011
Done000
Total41546

Merged error: 0.3b

Counts
46 → 5
Compiler

Compiled 443 to 310 computations (30% 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 insert-posit16 *-commutative_binary64
Counts
1 → 23
Calls

1 calls:

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

series61.0ms (2.4%)

Counts
1 → 3
Calls

1 calls:

61.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify115.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
26 → 26
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
04872280
14872280

prune29.0ms (1.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New21526
Fresh213
Picked011
Done101
Total24731

Merged error: 0.0b

Counts
31 → 7
Compiler

Compiled 317 to 233 computations (26.5% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

rewrite24.0ms (0.9%)

Algorithm
1×rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
12×add-sqr-sqrt_binary64
10×associate-*r*_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
8×cbrt-prod_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64
4×associate-*l*_binary64 sqrt-prod_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 insert-posit16 *-commutative_binary64
Counts
2 → 50
Calls

2 calls:

15.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))
7.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))

series249.0ms (9.7%)

Counts
2 → 6
Calls

2 calls:

191.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
57.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify121.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
05343646

prune60.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh145
Picked011
Done011
Total56763

Merged error: 0.0b

Counts
63 → 7
Compiler

Compiled 849 to 699 computations (17.7% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
0.3b
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

rewrite21.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
19×associate-*l*_binary64
17×add-exp-log_binary64
16×add-sqr-sqrt_binary64
10×prod-exp_binary64
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64
8×unpow-prod-down_binary64
7×add-cbrt-cube_binary64 sqrt-prod_binary64
6×cbrt-prod_binary64
4×pow1_binary64 cbrt-unprod_binary64 associate-*r*_binary64 unswap-sqr_binary64
2×pow-to-exp_binary64 add-log-exp_binary64 sqr-pow_binary64 insert-posit16 pow-exp_binary64 *-commutative_binary64
1×pow-prod-down_binary64
Counts
2 → 56
Calls

2 calls:

11.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))
7.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))

series285.0ms (11.1%)

Counts
2 → 6
Calls

2 calls:

235.0ms
(*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x))
50.0ms
(*.f64 (cbrt.f64 (sqrt.f64 2)) (*.f64 (pow.f64 (sqrt.f64 2) 2/3) (fabs.f64 x)))

simplify66.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05535778

prune62.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60262
Fresh314
Picked011
Done202
Total65469

Merged error: 0b

Counts
69 → 4
Compiler

Compiled 829 to 670 computations (19.2% saved)

regimes14.0ms (0.6%)

Compiler

Compiled 63 to 63 computations (0% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01431
11431

end0.0ms (0%)

sample596.0ms (23.1%)

Algorithm
1×intervals
Results
332.0ms8000×body80valid
Compiler

Compiled 86 to 87 computations (-1.2% saved)

Profiling

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