Details

Time bar (total: 2.2s)

analyze11.0ms (0.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample285.0ms (13.2%)

Algorithm
1×intervals
Results
275.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify124.0ms (5.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01211
11211

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

rewrite22.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
17×add-sqr-sqrt_binary64
14×sqrt-prod_binary64
10×associate-*l*_binary64
8×*-un-lft-identity_binary64
6×associate-*r*_binary64
5×pow1_binary64 add-cube-cbrt_binary64
4×unswap-sqr_binary64
3×pow-prod-down_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
2×pow1/2_binary64 sqrt-pow1_binary64 difference-of-squares_binary64 sqrt-div_binary64 associate-*l/_binary64
1×add-log-exp_binary64 flip3--_binary64 cbrt-unprod_binary64 difference-of-sqr-1_binary64 sqrt-unprod_binary64 prod-exp_binary64 distribute-lft-out--_binary64 flip--_binary64 *-commutative_binary64
Counts
1 → 36
Calls

1 calls:

14.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series56.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

55.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

simplify102.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04932613
14932613

prune44.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New36339
Fresh000
Picked101
Done000
Total37340

Merged error: 0b

Counts
40 → 3
Compiler

Compiled 553 to 361 computations (34.7% saved)

localize14.0ms (0.7%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify12.0ms (0.5%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done000
Total033

Merged error: 0b

Counts
3 → 3
Compiler

Compiled 18 to 13 computations (27.8% saved)

localize8.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (sqrt.f64 x))
0.1b
(sqrt.f64 (sqrt.f64 x))
0.2b
(*.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
0.3b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (sqrt.f64 x)))

rewrite40.0ms (1.8%)

Algorithm
1×rewrite-expression-head
Rules
54×sqrt-prod_binary64
36×add-sqr-sqrt_binary64
20×pow1_binary64
19×*-un-lft-identity_binary64
18×associate-*r*_binary64
16×add-cube-cbrt_binary64
13×sqrt-pow1_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
10×pow-prod-down_binary64
9×pow1/2_binary64
6×unswap-sqr_binary64 associate-*l/_binary64
4×add-log-exp_binary64 cbrt-unprod_binary64 rem-sqrt-square_binary64 prod-exp_binary64 sqrt-div_binary64
3×sqrt-unprod_binary64
2×flip3--_binary64 difference-of-squares_binary64 flip--_binary64 *-commutative_binary64
1×difference-of-sqr-1_binary64 distribute-lft-out--_binary64
Counts
4 → 108
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))
13.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (sqrt.f64 x)))
2.0ms
(sqrt.f64 (sqrt.f64 x))
2.0ms
(sqrt.f64 (sqrt.f64 x))

series216.0ms (10%)

Counts
4 → 12
Calls

4 calls:

65.0ms
(sqrt.f64 (sqrt.f64 x))
60.0ms
(sqrt.f64 (sqrt.f64 x))
55.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (sqrt.f64 x)))
35.0ms
(*.f64 (*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 (sqrt.f64 x))) (sqrt.f64 (sqrt.f64 x)))

simplify130.0ms (6%)

Algorithm
1×egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
048801745
148801745

prune123.0ms (5.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1200120
Fresh011
Picked011
Done011
Total1203123

Merged error: 0b

Counts
123 → 3
Compiler

Compiled 2019 to 1021 computations (49.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

29.5b
(sqrt.f64 (*.f64 x (-.f64 x 1)))

rewrite6.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
4×pow1_binary64
2×associate-*r/_binary64 sqrt-pow1_binary64 sqrt-div_binary64
1×pow-prod-down_binary64 *-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 flip3--_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 flip--_binary64 sqrt-prod_binary64
Counts
1 → 13
Calls

1 calls:

5.0ms
(sqrt.f64 (*.f64 x (-.f64 x 1)))

series20.0ms (0.9%)

Counts
1 → 3
Calls

1 calls:

19.0ms
(sqrt.f64 (*.f64 x (-.f64 x 1)))

simplify93.0ms (4.3%)

Algorithm
1×egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
05003200

prune11.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New16016
Fresh000
Picked011
Done022
Total16319

Merged error: 0b

Counts
19 → 3
Compiler

Compiled 172 to 126 computations (26.7% saved)

regimes90.0ms (4.2%)

Compiler

Compiled 402 to 312 computations (22.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01811
11811

end0.0ms (0%)

sample742.0ms (34.2%)

Algorithm
1×intervals
Results
307.0ms8000×body128valid
0.0ms3×body128nan
Compiler

Compiled 208 to 163 computations (21.6% saved)

Profiling

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