Details

Time bar (total: 2.1s)

analyze52.0ms (2.4%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50%13
49.9%0%50%14
Compiler

Compiled 13 to 11 computations (15.4% saved)

sample31.0ms (1.4%)

Algorithm
intervals
Results
24.0ms256×body128valid
Compiler

Compiled 26 to 22 computations (15.4% saved)

simplify33.0ms (1.6%)

Algorithm
egg-herbie
Rules
261×div-sub_binary64
123×times-frac_binary64
116×associate-/l*_binary64
97×sub-neg_binary64
59×distribute-rgt-in_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01017
11917
22517
33417
45417
56717
69117
714117
820717
924717
1029717
1143117
1259717
1357517
1454317
1546617

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
Compiler

Compiled 24 to 20 computations (16.7% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite141.0ms (6.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
79×*-un-lft-identity_binary64
56×add-sqr-sqrt_binary64
49×times-frac_binary64
30×sqrt-prod_binary64
26×add-cube-cbrt_binary64
Counts
3 → 100
Calls

3 calls:

7.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
6.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
Compiler

Compiled 1627 to 1317 computations (19.1% saved)

series24.0ms (1.1%)

Error
0.0b
Counts
3 → 17
Calls

3 calls:

7.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
5.0ms
(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
4.0ms
(atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
Compiler

Compiled 402 to 355 computations (11.7% saved)

simplify251.0ms (11.7%)

Algorithm
egg-herbie
Rules
903×div-sub_binary64
567×associate-/l*_binary64
371×cancel-sign-sub-inv_binary64
362×distribute-rgt-in_binary64
297×distribute-lft-in_binary64
Counts
117 → 55
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01432188
12942066
26572063
316702063
446092047
564142047

prune25.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New54155
Fresh000
Picked011
Done000
Total54256
Error
0b
Counts
56 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)))))
Compiler

Compiled 637 to 500 computations (21.5% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
0.0b
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
0.0b
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)

rewrite151.0ms (7.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
187×*-un-lft-identity_binary64
125×add-sqr-sqrt_binary64
120×times-frac_binary64
66×cbrt-prod_binary64
62×add-cube-cbrt_binary64
Counts
4 → 214
Calls

4 calls:

11.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
9.0ms
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)
7.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
0.0ms
(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
Compiler

Compiled 3015 to 2528 computations (16.2% saved)

series36.0ms (1.7%)

Error
0b
Counts
4 → 27
Calls

4 calls:

7.0ms
(/.f64 (-.f64 1 x) (+.f64 1 x))
7.0ms
(pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)
7.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))
4.0ms
(atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3))))
Compiler

Compiled 736 to 665 computations (9.6% saved)

simplify141.0ms (6.6%)

Algorithm
egg-herbie
Rules
695×associate-/l*_binary64
342×unswap-sqr_binary64
267×distribute-rgt-in_binary64
259×associate-/l/_binary64
246×distribute-lft-in_binary64
Counts
241 → 183
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02054905
15444545
216014491
351924491

prune54.0ms (2.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1830183
Fresh000
Picked011
Done011
Total1832185
Error
0b
Counts
185 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b
(*.f64 2 (atan.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)) 3)))))
Compiler

Compiled 1429 to 1170 computations (18.1% saved)

regimes290.0ms (13.6%)

Accuracy

Total 0.0b remaining (31.9%)

Threshold costs 0.0b (31.9%)

Compiler

Compiled 7042 to 5919 computations (15.9% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01543
12343
22743
32943
43043
52943

end1.0ms (0%)

Compiler

Compiled 29 to 23 computations (20.7% saved)

sample884.0ms (41.4%)

Algorithm
intervals
Results
520.0ms8000×body128valid
Compiler

Compiled 70 to 58 computations (17.1% saved)

Profiling

Loading profile data...