Details

Time bar (total: 2.6s)

analyze229.0ms (8.7%)

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 8 computations (11.1% saved)

sample22.0ms (0.8%)

Algorithm
1×intervals
Results
13.0ms256×body128valid
Compiler

Compiled 17 to 16 computations (5.9% saved)

simplify391.0ms (14.8%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (213.0ms)

IterNodesCost
047219
147219

prune12.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 28.6b

Counts
2 → 1
Compiler

Compiled 28 to 24 computations (14.3% saved)

localize19.0ms (0.7%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (pow.f64 x 2) (pow.f64 x 2))
27.6b
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))

rewrite41.0ms (1.6%)

Algorithm
1×rewrite-expression-head
Rules
35×*-un-lft-identity_binary64
32×unpow-prod-down_binary64
26×sqrt-prod_binary64
20×distribute-rgt-out_binary64 add-sqr-sqrt_binary64
19×add-cube-cbrt_binary64
16×distribute-lft-out_binary64
8×unpow2_binary64 sqr-pow_binary64
4×distribute-lft1-in_binary64 add-log-exp_binary64 distribute-rgt1-in_binary64
3×pow1_binary64
2×flip3-+_binary64 count-2_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64 sqrt-div_binary64
1×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 +-commutative_binary64 sum-log_binary64
Counts
2 → 72
Calls

2 calls:

18.0ms
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
13.0ms
(+.f64 (pow.f64 x 2) (pow.f64 x 2))

series155.0ms (5.9%)

Counts
2 → 6
Calls

2 calls:

87.0ms
(sqrt.f64 (+.f64 (pow.f64 x 2) (pow.f64 x 2)))
68.0ms
(+.f64 (pow.f64 x 2) (pow.f64 x 2))

simplify96.0ms (3.6%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04696639
14696639

prune137.0ms (5.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New73578
Fresh000
Picked011
Done000
Total73679

Merged error: 0.1b

Counts
79 → 6
Compiler

Compiled 1615 to 1156 computations (28.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
8×pow1_binary64 add-sqr-sqrt_binary64
6×associate-*l*_binary64
5×pow-prod-down_binary64 sqrt-prod_binary64
4×*-un-lft-identity_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 sqrt-pow1_binary64
3×add-exp-log_binary64 add-cbrt-cube_binary64
2×pow1/2_binary64 unswap-sqr_binary64
1×add-log-exp_binary64 cbrt-unprod_binary64 sqrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 27
Calls

1 calls:

8.0ms
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 2 (fabs.f64 x))))

series50.0ms (1.9%)

Counts
1 → 3
Calls

1 calls:

50.0ms
(*.f64 (sqrt.f64 (fabs.f64 x)) (sqrt.f64 (*.f64 2 (fabs.f64 x))))

simplify52.0ms (2%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
04849476
14849476

prune97.0ms (3.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New25530
Fresh134
Picked011
Done011
Total261036

Merged error: 0.0b

Counts
36 → 10
Compiler

Compiled 1386 to 911 computations (34.3% 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))

series40.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

40.0ms
(*.f64 (sqrt.f64 2) (fabs.f64 x))

simplify70.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04861270
14861270

prune83.0ms (3.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New23225
Fresh617
Picked011
Done022
Total29635

Merged error: 0b

Counts
35 → 6
Compiler

Compiled 1097 to 812 computations (26% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite23.0ms (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 *-commutative_binary64
Counts
2 → 48
Calls

2 calls:

12.0ms
(*.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)))

series244.0ms (9.2%)

Counts
2 → 6
Calls

2 calls:

193.0ms
(*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2)))
51.0ms
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))) (*.f64 (fabs.f64 x) (cbrt.f64 (sqrt.f64 2))))

simplify72.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05097624

prune50.0ms (1.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New54054
Fresh022
Picked011
Done033
Total54660

Merged error: 0b

Counts
60 → 6
Compiler

Compiled 771 to 632 computations (18% saved)

regimes57.0ms (2.2%)

Compiler

Compiled 282 to 242 computations (14.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11124

end0.0ms (0%)

sample666.0ms (25.2%)

Algorithm
1×intervals
Results
403.0ms8000×body128valid
Compiler

Compiled 84 to 75 computations (10.7% saved)

Profiling

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