Details

Time bar (total: 2.5s)

analyze74.0ms (2.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
25%74.9%0.1%4
37.5%62.4%0.1%5
59.3%40.6%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 10 to 6 computations (40% saved)

sample124.0ms (4.9%)

Algorithm
intervals
Results
11.0ms256×body128valid
Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify76.0ms (3%)

Algorithm
egg-herbie
Rules
801×fma-def_binary64
511×fma-neg_binary64
365×times-frac_binary64
331×div-sub_binary64
156×associate-/l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
11210
21910
33010
45210
58110
612410
719110
830010
964110
1082210
11129910
12132810
13134310
14135710
15137710
16137710
17127610

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))

series11.0ms (0.4%)

Counts
1 → 24
Calls

1 calls:

11.0ms
(/.f64 (-.f64 x y) (+.f64 x y))

rewrite10.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
20×times-frac_binary64
12×add-cube-cbrt_binary64
distribute-lft-out_binary64
Counts
1 → 48
Calls

1 calls:

7.0ms
(/.f64 (-.f64 x y) (+.f64 x y))

simplify98.0ms (3.9%)

Algorithm
egg-herbie
Rules
610×div-sub_binary64
586×fma-neg_binary64
530×cancel-sign-sub-inv_binary64
194×distribute-neg-frac_binary64
184×fma-def_binary64
Counts
72 → 59
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01061287
12831239
27481195
324881183
443831183
554851183

prune48.0ms (1.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New56359
Fresh000
Picked101
Done000
Total57360
Error
0b
Counts
60 → 3
Alt Table
StatusErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
29.7b
(fma.f64 (/.f64 y x) -2 1)
Compiler

Compiled 946 to 305 computations (67.8% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
0.5b
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))

series31.0ms (1.2%)

Counts
2 → 48
Calls

2 calls:

20.0ms
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))
10.0ms
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))

rewrite2.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
log1p-expm1-u_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
2 → 22
Calls

2 calls:

1.0ms
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
0.0ms
(expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y)))

simplify344.0ms (13.6%)

Algorithm
egg-herbie
Rules
688×fma-neg_binary64
438×times-frac_binary64
396×distribute-neg-frac_binary64
308×associate-/l*_binary64
244×associate-/r*_binary64
Counts
70 → 60
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0981454
12601342
28321255
336441234
452821234

prune320.0ms (12.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1181119
Fresh112
Picked011
Done000
Total1193122
Error
0b
Counts
122 → 3
Alt Table
StatusErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
0.5b
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
Compiler

Compiled 1975 to 784 computations (60.3% saved)

localize35.0ms (1.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
0.0b
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)

series53.0ms (2.1%)

Counts
2 → 48
Calls

2 calls:

27.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
25.0ms
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)

rewrite53.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
116×*-un-lft-identity_binary64
80×times-frac_binary64
76×add-sqr-sqrt_binary64
58×cbrt-prod_binary64
52×cube-prod_binary64
Counts
2 → 144
Calls

2 calls:

15.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
14.0ms
(pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3)

simplify161.0ms (6.4%)

Algorithm
egg-herbie
Rules
775×fma-def_binary64
319×unswap-sqr_binary64
229×associate-/l/_binary64
227×distribute-rgt-in_binary64
206×distribute-lft-in_binary64
Counts
192 → 144
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02174193
16363904
219743788
347153762
452523762

prune142.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2030203
Fresh011
Picked011
Done011
Total2033206
Error
0b
Counts
206 → 3
Alt Table
StatusErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
0.5b
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
Compiler

Compiled 3804 to 1439 computations (62.2% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 x y) (+.f64 x y))
2.4b
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))

series28.0ms (1.1%)

Counts
1 → 24
Calls

1 calls:

28.0ms
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))

rewrite1.0ms (0%)

Algorithm
rewrite-expression-head
Rules
expm1-log1p-u_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
Counts
1 → 11
Calls

1 calls:

1.0ms
(log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y)))

simplify53.0ms (2.1%)

Algorithm
egg-herbie
Rules
489×associate-/r/_binary64
388×fma-neg_binary64
319×sub-neg_binary64
280×distribute-neg-frac_binary64
231×distribute-rgt-neg-in_binary64
Counts
35 → 43
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
073723
1187674
2570656
32414650
45239650

prune67.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1020102
Fresh000
Picked011
Done022
Total1023105
Error
0b
Counts
105 → 3
Alt Table
StatusErrorProgram
0.0b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (+.f64 x y)) 3))
0.0b
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
0.5b
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x y) (+.f64 x y))))
Compiler

Compiled 1773 to 759 computations (57.2% saved)

regimes149.0ms (5.9%)

Accuracy

Total 0.0b remaining (30.4%)

Threshold costs 0.0b (30.4%)

Counts
42 → 1
Compiler

Compiled 1095 to 828 computations (24.4% saved)

simplify7.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11310
21710
31910
42010
51910

end1.0ms (0%)

Compiler

Compiled 9 to 5 computations (44.4% saved)

sample611.0ms (24.2%)

Algorithm
intervals
Results
295.0ms8000×body128valid
Compiler

Compiled 55 to 35 computations (36.4% saved)

Profiling

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