Details

Time bar (total: 2.6s)

analyze4.0ms (0.1%)

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%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample24.0ms (0.9%)

Algorithm
intervals
Results
8.0ms141×body80valid
7.0ms62×body640valid
3.0ms36×body320valid
1.0ms17×body160valid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify25.0ms (1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
07716
17716

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 16.3b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
0.0b
(/.f64 1 (-.f64 x 1))
2.8b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite59.0ms (2.3%)

Algorithm
rewrite-expression-head
Rules
98×*-un-lft-identity_binary64
72×add-sqr-sqrt_binary64
69×times-frac_binary64
32×add-cube-cbrt_binary64
27×distribute-lft-out--_binary64
17×difference-of-squares_binary64
11×associate-/r*_binary64 add-exp-log_binary64
10×distribute-lft-out_binary64
add-cbrt-cube_binary64
associate-/r/_binary64 associate-/l*_binary64 div-inv_binary64
add-log-exp_binary64 pow1_binary64
difference-of-sqr-1_binary64 div-exp_binary64
insert-posit16 flip--_binary64
flip3--_binary64 1-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 pow-flip_binary64 flip-+_binary64
flip3-+_binary64 sub-neg_binary64 diff-log_binary64 frac-sub_binary64
Counts
3 → 127
Calls

3 calls:

35.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
10.0ms
(/.f64 1 (-.f64 x 1))
7.0ms
(/.f64 1 (+.f64 x 1))

series115.0ms (4.5%)

Counts
3 → 9
Calls

3 calls:

78.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
19.0ms
(/.f64 1 (-.f64 x 1))
19.0ms
(/.f64 1 (+.f64 x 1))

simplify114.0ms (4.4%)

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
048542154
148542154

prune144.0ms (5.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1342136
Fresh000
Picked101
Done000
Total1352137

Merged error: 0.4b

Counts
137 → 2
Compiler

Compiled 2375 to 1960 computations (17.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.4b
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64
associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
associate-/r/_binary64
flip3-+_binary64 add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64 insert-posit16 flip-+_binary64
Counts
1 → 30
Calls

1 calls:

6.0ms
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series35.0ms (1.4%)

Counts
1 → 3
Calls

1 calls:

35.0ms
(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify116.0ms (4.6%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
05273569

prune36.0ms (1.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New29433
Fresh101
Picked011
Done000
Total30535

Merged error: 0.3b

Counts
35 → 5
Compiler

Compiled 549 to 374 computations (31.9% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(/.f64 -2 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
12.6b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
12.6b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
12.6b
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite26.0ms (1%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-div_binary64
flip3-+_binary64 *-un-lft-identity_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-sqr-sqrt_binary64 flip-+_binary64 cbrt-prod_binary64
associate-/r/_binary64
add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64 insert-posit16 frac-times_binary64
pow1/3_binary64 associate-/l*_binary64 times-frac_binary64
cbrt-undiv_binary64 associate-*r/_binary64 div-exp_binary64 associate-*l/_binary64
associate-/r*_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64
Counts
4 → 72
Calls

4 calls:

12.0ms
(/.f64 -2 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
5.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series399.0ms (15.6%)

Counts
4 → 12
Calls

4 calls:

127.0ms
(/.f64 -2 (*.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
94.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
89.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))
88.0ms
(cbrt.f64 (+.f64 -1 (*.f64 x x)))

simplify106.0ms (4.1%)

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
050731573

prune125.0ms (4.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh033
Picked011
Done011
Total83689

Merged error: 0.3b

Counts
89 → 6
Compiler

Compiled 2483 to 1636 computations (34.1% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
21.8b
(*.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (*.f64 x x)))

rewrite38.0ms (1.5%)

Algorithm
rewrite-expression-head
Rules
87×add-sqr-sqrt_binary64
67×*-un-lft-identity_binary64
61×times-frac_binary64
43×difference-of-squares_binary64
36×associate-*l*_binary64
32×add-cube-cbrt_binary64
14×sqr-pow_binary64 unpow-prod-down_binary64
10×associate-/r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
distribute-lft-out--_binary64
pow1_binary64 flip3--_binary64 associate-*r*_binary64 associate-/r/_binary64 flip--_binary64
associate-/l*_binary64
add-log-exp_binary64 sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 div-exp_binary64 insert-posit16 frac-times_binary64
pow-prod-down_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 clear-num_binary64 frac-2neg_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
2 → 121
Calls

2 calls:

20.0ms
(*.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (*.f64 x x)))
10.0ms
(/.f64 -2 (-.f64 1 (pow.f64 x 4)))

series175.0ms (6.8%)

Counts
2 → 6
Calls

2 calls:

102.0ms
(/.f64 -2 (-.f64 1 (pow.f64 x 4)))
72.0ms
(*.f64 (/.f64 -2 (-.f64 1 (pow.f64 x 4))) (-.f64 -1 (*.f64 x x)))

simplify113.0ms (4.4%)

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
052552571

prune154.0ms (6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh033
Picked011
Done022
Total1276133

Merged error: 0.3b

Counts
133 → 6
Compiler

Compiled 2752 to 2036 computations (26% saved)

regimes15.0ms (0.6%)

Compiler

Compiled 115 to 83 computations (27.8% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0810
1810

end0.0ms (0%)

sample691.0ms (27%)

Algorithm
intervals
Results
208.0ms1999×body640valid
120.0ms4165×body80valid
98.0ms1220×body320valid
32.0ms616×body160valid
Compiler

Compiled 132 to 99 computations (25% saved)

Profiling

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