Details

Time bar (total: 1.7s)

analyze1.0ms (0.1%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 8 to 6 computations (25% saved)

sample10.0ms (0.6%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify7.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0710
1710

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.9b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

13.9b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite9.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
3×associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
2×associate-/r/_binary64
1×flip3-+_binary64 add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 flip-+_binary64
Counts
1 → 29
Calls

1 calls:

7.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

series52.0ms (3%)

Counts
1 → 3
Calls

1 calls:

52.0ms
(/.f64 x (+.f64 (*.f64 x x) 1))

simplify56.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05078550

prune35.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New30232
Fresh000
Picked101
Done000
Total31233

Merged error: 0b

Counts
33 → 2
Compiler

Compiled 490 to 271 computations (44.7% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
13.8b
(sqrt.f64 (+.f64 (*.f64 x x) 1))
13.8b
(sqrt.f64 (+.f64 (*.f64 x x) 1))

rewrite68.0ms (4%)

Algorithm
1×rewrite-expression-head
Rules
270×times-frac_binary64
148×add-sqr-sqrt_binary64
146×*-un-lft-identity_binary64 add-cube-cbrt_binary64
144×sqrt-prod_binary64
24×associate-/l*_binary64
20×sqrt-div_binary64
16×associate-/r/_binary64
10×flip3-+_binary64 flip-+_binary64
8×add-exp-log_binary64 add-cbrt-cube_binary64 div-inv_binary64
6×associate-/r*_binary64
5×pow1_binary64
3×add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64
2×pow1/2_binary64 sqrt-pow1_binary64 rem-sqrt-square_binary64
1×associate-/l/_binary64 clear-num_binary64 frac-2neg_binary64
Counts
3 → 221
Calls

3 calls:

21.0ms
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
5.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

series138.0ms (8%)

Counts
3 → 9
Calls

3 calls:

63.0ms
(/.f64 (/.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))) (sqrt.f64 (+.f64 (*.f64 x x) 1)))
38.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))
36.0ms
(sqrt.f64 (+.f64 (*.f64 x x) 1))

simplify119.0ms (6.9%)

Algorithm
1×egg-herbie
Counts
230 → 230
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050737638

prune293.0ms (17.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2300230
Fresh011
Picked011
Done000
Total2302232

Merged error: 0b

Counts
232 → 2
Compiler

Compiled 5850 to 3385 computations (42.1% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.2b
(/.f64 1 (pow.f64 x 5))
0.3b
(pow.f64 (/.f64 1 x) 3)
19.5b
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))

rewrite69.0ms (4%)

Algorithm
1×rewrite-expression-head
Rules
51×add-sqr-sqrt_binary64
46×*-un-lft-identity_binary64
43×times-frac_binary64
34×add-cube-cbrt_binary64
28×unpow-prod-down_binary64
16×cube-prod_binary64
14×add-exp-log_binary64
8×add-log-exp_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64
7×associate-/r*_binary64 div-inv_binary64
6×sqr-pow_binary64
5×pow1_binary64 distribute-lft-out--_binary64 pow-exp_binary64
4×distribute-lft-out_binary64 cube-div_binary64 rec-exp_binary64 div-exp_binary64
3×pow-to-exp_binary64 pow-unpow_binary64 pow-pow_binary64 associate-/l*_binary64 frac-sub_binary64
2×diff-log_binary64 cbrt-undiv_binary64 inv-pow_binary64 rem-cube-cbrt_binary64 pow-flip_binary64
1×flip3-+_binary64 sub-neg_binary64 flip3--_binary64 frac-add_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64 flip-+_binary64 unpow3_binary64 associate--l+_binary64 sum-log_binary64 cube-mult_binary64
Counts
3 → 128
Calls

3 calls:

43.0ms
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))
8.0ms
(/.f64 1 (pow.f64 x 5))
5.0ms
(pow.f64 (/.f64 1 x) 3)

series140.0ms (8.2%)

Counts
3 → 9
Calls

3 calls:

57.0ms
(/.f64 1 (pow.f64 x 5))
45.0ms
(pow.f64 (/.f64 1 x) 3)
38.0ms
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (pow.f64 (/.f64 1 x) 3))

simplify86.0ms (5%)

Algorithm
1×egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
048922251
148922251

prune166.0ms (9.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh000
Picked011
Done011
Total1372139

Merged error: 0b

Counts
139 → 2
Compiler

Compiled 2852 to 2262 computations (20.7% saved)

regimes18.0ms (1.1%)

Compiler

Compiled 32 to 25 computations (21.9% saved)

bsearch33.0ms (2%)

Steps
ItersRangePoint
11
2.186994530335342e-15
20487698.538744863
7513.27366378881
9
-39219868.165207975
-60.139128896341255
-34509.96394582827
Compiler

Compiled 1 to 1 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03579
13579

end0.0ms (0%)

sample391.0ms (22.8%)

Algorithm
1×intervals
Results
180.0ms8000×body128valid
Compiler

Compiled 98 to 76 computations (22.4% saved)

Profiling

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