Details

Time bar (total: 1.1s)

analyze3.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
50%50%0%2
50%50%0%3
87.5%12.5%0%4
93.7%6.2%0%5
96.8%3.1%0%6
98.4%1.6%0%7
99.2%0.8%0%8
99.6%0.4%0%9
99.8%0.2%0%10
99.9%0.1%0%11
99.9%0%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample10.0ms (0.9%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify9.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
03610
13610

prune2.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (+.f64 x 1) (-.f64 1 x))

rewrite13.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity_binary64
28×add-sqr-sqrt_binary64
24×times-frac_binary64
13×add-cube-cbrt_binary64
10×difference-of-squares_binary64
distribute-lft-out_binary64
associate-/r*_binary64
distribute-lft-out--_binary64
associate-/l*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l/_binary64 associate-/r/_binary64
flip3-+_binary64 add-log-exp_binary64 pow1_binary64 flip3--_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 flip-+_binary64
Counts
1 → 50
Calls

1 calls:

9.0ms
(/.f64 (+.f64 x 1) (-.f64 1 x))

series28.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

28.0ms
(/.f64 (+.f64 x 1) (-.f64 1 x))

simplify64.0ms (6.1%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
05243942

prune50.0ms (4.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New52153
Fresh000
Picked011
Done000
Total52254

Merged error: 0b

Counts
54 → 2
Compiler

Compiled 825 to 623 computations (24.5% saved)

localize6.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 x 1))
0.0b
(sqrt.f64 (+.f64 x 1))
0.1b
(/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))
0.1b
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))

rewrite68.0ms (6.4%)

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity_binary64
113×add-sqr-sqrt_binary64
88×times-frac_binary64
69×sqrt-prod_binary64
50×add-cube-cbrt_binary64
48×associate-*r*_binary64
30×difference-of-squares_binary64
16×distribute-lft-out_binary64
15×distribute-lft-out--_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×sqrt-div_binary64
pow1_binary64
associate-*l*_binary64 associate-/l*_binary64
associate-/r*_binary64 unswap-sqr_binary64
flip3-+_binary64 flip-+_binary64
add-log-exp_binary64 associate-/r/_binary64
associate-/l/_binary64 pow1/2_binary64 flip3--_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 flip--_binary64 frac-times_binary64 associate-*l/_binary64
pow-prod-down_binary64 associate-*r/_binary64 clear-num_binary64 frac-2neg_binary64 *-commutative_binary64
Counts
4 → 182
Calls

4 calls:

31.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
11.0ms
(/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))
4.0ms
(sqrt.f64 (+.f64 x 1))
4.0ms
(sqrt.f64 (+.f64 x 1))

series137.0ms (13%)

Counts
4 → 12
Calls

4 calls:

51.0ms
(/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x))
30.0ms
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (-.f64 1 x)))
30.0ms
(sqrt.f64 (+.f64 x 1))
26.0ms
(sqrt.f64 (+.f64 x 1))

simplify78.0ms (7.4%)

Algorithm
egg-herbie
Counts
194 → 194
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
050623686

prune241.0ms (22.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1940194
Fresh000
Picked011
Done011
Total1942196

Merged error: 0b

Counts
196 → 2
Compiler

Compiled 3945 to 3038 computations (23% saved)

regimes14.0ms (1.4%)

Compiler

Compiled 56 to 48 computations (14.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01710
11710

end0.0ms (0%)

sample323.0ms (30.7%)

Algorithm
intervals
Results
168.0ms8000×body128valid
Compiler

Compiled 35 to 31 computations (11.4% saved)

Profiling

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