Details

Time bar (total: 2.5s)

analyze7.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%50%50%0
0%50%50%1
0%50%50%2
0%50%50%3
37.5%12.5%50%4
43.7%6.2%50%5
46.9%3.1%50%6
48.4%1.6%50%7
49.2%0.8%50%8
49.6%0.4%50%9
49.8%0.2%50%10
49.9%0.1%50%11
49.9%0%50%12
50%0%50%13
50%0%50%14
Compiler

Compiled 29 to 20 computations (31% saved)

sample23.0ms (0.9%)

Algorithm
intervals
Results
13.0ms256×body80valid
3.0ms256×pre80true
Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify117.0ms (4.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (102.0ms)

IterNodesCost
0579213

prune9.0ms (0.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.2b

Counts
2 → 2
Compiler

Compiled 43 to 33 computations (23.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
0.4b
(/.f64 -1 (*.f64 i i))

rewrite16.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity_binary64
15×times-frac_binary64
13×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-/l*_binary64
associate-/r*_binary64
distribute-lft-out_binary64
cbrt-undiv_binary64 div-exp_binary64
add-log-exp_binary64 pow1_binary64 associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 insert-posit16
flip3-+_binary64 cbrt-unprod_binary64 prod-exp_binary64 flip-+_binary64
Counts
2 → 56
Calls

2 calls:

8.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))
6.0ms
(/.f64 -1 (*.f64 i i))

series73.0ms (3%)

Counts
2 → 6
Calls

2 calls:

39.0ms
(/.f64 -1 (*.f64 i i))
33.0ms
(/.f64 1/4 (+.f64 4 (/.f64 -1 (*.f64 i i))))

simplify117.0ms (4.7%)

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
05304942

prune59.0ms (2.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60262
Fresh011
Picked011
Done000
Total60464

Merged error: 0b

Counts
64 → 4
Compiler

Compiled 956 to 708 computations (25.9% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(pow.f64 (/.f64 1/4 (+.f64 (/.f64 -1 (*.f64 i i)) 4)) 3)
0.3b
(/.f64 1/4 (+.f64 (/.f64 -1 (*.f64 i i)) 4))
0.4b
(/.f64 -1 (*.f64 i i))
9.2b
(cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 (/.f64 -1 (*.f64 i i)) 4)) 3))

rewrite52.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
81×*-un-lft-identity_binary64
63×times-frac_binary64
49×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
42×cbrt-prod_binary64
36×unpow-prod-down_binary64 cube-prod_binary64
16×distribute-lft-out_binary64
14×add-exp-log_binary64 add-cbrt-cube_binary64
10×associate-/r/_binary64
associate-/l*_binary64 div-inv_binary64
flip3-+_binary64 associate-/r*_binary64 pow1_binary64 flip-+_binary64
add-log-exp_binary64 cbrt-undiv_binary64 div-exp_binary64 insert-posit16
pow-unpow_binary64
sqr-pow_binary64 cube-div_binary64 clear-num_binary64 rem-cube-cbrt_binary64 frac-2neg_binary64 pow-exp_binary64 unpow3_binary64 cube-mult_binary64
cbrt-div_binary64 pow-to-exp_binary64 rem-cbrt-cube_binary64 cbrt-unprod_binary64 pow1/3_binary64 pow-pow_binary64 prod-exp_binary64
Counts
4 → 166
Calls

4 calls:

14.0ms
(pow.f64 (/.f64 1/4 (+.f64 (/.f64 -1 (*.f64 i i)) 4)) 3)
14.0ms
(cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 (/.f64 -1 (*.f64 i i)) 4)) 3))
11.0ms
(/.f64 1/4 (+.f64 (/.f64 -1 (*.f64 i i)) 4))
6.0ms
(/.f64 -1 (*.f64 i i))

series182.0ms (7.3%)

Counts
4 → 12
Calls

4 calls:

57.0ms
(pow.f64 (/.f64 1/4 (+.f64 (/.f64 -1 (*.f64 i i)) 4)) 3)
45.0ms
(/.f64 1/4 (+.f64 (/.f64 -1 (*.f64 i i)) 4))
40.0ms
(/.f64 -1 (*.f64 i i))
40.0ms
(cbrt.f64 (pow.f64 (/.f64 1/4 (+.f64 (/.f64 -1 (*.f64 i i)) 4)) 3))

simplify84.0ms (3.4%)

Algorithm
egg-herbie
Counts
178 → 178
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
051133459

prune200.0ms (8.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1771178
Fresh112
Picked011
Done011
Total1784182

Merged error: 0b

Counts
182 → 4
Compiler

Compiled 3152 to 2417 computations (23.3% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 (cbrt.f64 1/64) (+.f64 (/.f64 -1 (*.f64 i i)) 4))
0.4b
(/.f64 -1 (*.f64 i i))
1.0b
(cbrt.f64 1/64)

rewrite23.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity_binary64
27×times-frac_binary64
23×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
18×cbrt-prod_binary64
10×add-exp-log_binary64
add-cbrt-cube_binary64 associate-/l*_binary64
distribute-lft-out_binary64
associate-/r*_binary64
add-log-exp_binary64 pow1_binary64 cbrt-undiv_binary64 div-exp_binary64 insert-posit16
associate-/r/_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64
flip3-+_binary64 cbrt-unprod_binary64 pow1/3_binary64 prod-exp_binary64 flip-+_binary64
Counts
3 → 83
Calls

3 calls:

11.0ms
(/.f64 (cbrt.f64 1/64) (+.f64 (/.f64 -1 (*.f64 i i)) 4))
5.0ms
(/.f64 -1 (*.f64 i i))
1.0ms
(cbrt.f64 1/64)

series69.0ms (2.8%)

Counts
3 → 7
Calls

3 calls:

36.0ms
(/.f64 -1 (*.f64 i i))
33.0ms
(/.f64 (cbrt.f64 1/64) (+.f64 (/.f64 -1 (*.f64 i i)) 4))
0.0ms
(cbrt.f64 1/64)

simplify169.0ms (6.8%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (140.0ms)

IterNodesCost
048071570
148071570

prune89.0ms (3.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh011
Picked011
Done022
Total90494

Merged error: 0b

Counts
94 → 4
Compiler

Compiled 1479 to 1125 computations (23.9% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
0.0b
(+.f64 (*.f64 (pow.f64 i 6) -4) (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)))

rewrite22.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64
*-un-lft-identity_binary64 sub-neg_binary64 pow1_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 insert-posit16 sum-log_binary64
flip3-+_binary64 associate-+r-_binary64 flip3--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 associate-+r+_binary64
Counts
2 → 27
Calls

2 calls:

13.0ms
(+.f64 (*.f64 (pow.f64 i 6) -4) (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)))
8.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))

series203.0ms (8.2%)

Counts
2 → 6
Calls

2 calls:

136.0ms
(-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4))
67.0ms
(+.f64 (*.f64 (pow.f64 i 6) -4) (-.f64 (*.f64 (*.f64 i i) -1/4) (pow.f64 i 4)))

simplify122.0ms (4.9%)

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
04930751
14930751

prune38.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New33033
Fresh000
Picked011
Done033
Total33437

Merged error: 0b

Counts
37 → 4
Compiler

Compiled 701 to 483 computations (31.1% saved)

regimes11.0ms (0.5%)

Compiler

Compiled 48 to 42 computations (12.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01013
11013

end0.0ms (0%)

sample750.0ms (30.3%)

Algorithm
intervals
Results
420.0ms8000×body80valid
100.0ms8000×pre80true
Compiler

Compiled 84 to 69 computations (17.9% saved)

Profiling

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