Details

Time bar (total: 619.0ms)

analyze4.0ms

Algorithm
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

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify143.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0139
1139

prune10.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 29.6b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

28.6b
(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1_binary64_520
2×sqrt-div_binary64_554 sqrt-pow1_binary64_555 associate-*r/_binary64_635
1×*-un-lft-identity_binary64_574 add-cube-cbrt_binary64_545 add-cbrt-cube_binary64_546 add-sqr-sqrt_binary64_559 flip3-+_binary64_572 flip-+_binary64_599 sqrt-prod_binary64_553 pow1/2_binary64_510 add-exp-log_binary64_538 add-log-exp_binary64_539 pow-prod-down_binary64_501
Counts
1 → 13
Calls
1 calls:
5.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify103.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (93.0ms)

IterNodesCost
04770140
14770140

prune79.0ms

Filtered
13 candidates to 16 candidates (-23.1%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New10616
Fresh000
Picked011
Done000
Total10717

Merged error: 0.1b

Counts
17 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
28.6b
(sqrt.f64 (*.f64 x (+.f64 x x)))
28.6b
(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-pow1_binary64_555
71×pow1_binary64_520
33×sqrt-prod_binary64_553
32×sqrt-div_binary64_554
26×add-sqr-sqrt_binary64_559
25×pow-prod-down_binary64_501
22×pow1/2_binary64_510
20×associate-*r/_binary64_635
14×pow-prod-up_binary64_500
13×*-un-lft-identity_binary64_574 add-cube-cbrt_binary64_545
9×flip3-+_binary64_572 flip-+_binary64_599 swap-sqr_binary64_601
8×pow-sqr_binary64_607
7×associate-*l*_binary64_634 associate-*r*_binary64_633
6×add-cbrt-cube_binary64_546 add-exp-log_binary64_538
4×frac-times_binary64_566 unswap-sqr_binary64_602 add-log-exp_binary64_539
2×associate-*l/_binary64_636
1×pow-plus_binary64_515 rem-sqrt-square_binary64_562 rem-square-sqrt_binary64_561 pow2_binary64_511 sqrt-unprod_binary64_557 cbrt-unprod_binary64_543 *-commutative_binary64_642 prod-exp_binary64_525
Counts
4 → 124
Calls
4 calls:
6.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
17.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
5.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))
5.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

series96.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x))))
22.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))) (sqrt.f64 (sqrt.f64 (*.f64 x (+.f64 x x)))))
20.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))
24.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify60.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
049591528
149591528

prune19.0ms

Filtered
69 candidates to 136 candidates (-97.1%)

Profiling

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