Details

Time bar (total: 4.1s)

analyze1.1s (25.6%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
6.2%93.6%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
22.2%77.6%0.2%11
40.4%59.5%0.2%12
47.4%52.4%0.2%13
55.3%44.5%0.2%14
Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.4s (35%)

Results
1.4s8256×body128valid
Compiler

Compiled 65 to 44 computations (32.3% saved)

simplify52.0ms (1.3%)

Algorithm
egg-herbie
Rules
508×fma-neg_binary64
504×associate-*l/_binary64
466×div-sub_binary64
450×cancel-sign-sub-inv_binary64
403×sub-neg_binary64
Counts
1 → 2
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01425
13025
27025
317722
448619
5108719
6253419
7443419
8515619

prune5.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
2.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
10.3b
(-.f64 x (/.f64 (*.f64 (*.f64 y 2) z) (-.f64 (*.f64 (*.f64 z 2) z) (*.f64 y t))))
2.9b
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
Compiler

Compiled 110 to 70 computations (36.4% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
5.0b
(/.f64 (*.f64 y t) (*.f64 2 z))
5.6b
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))

series141.0ms (3.4%)

Counts
3 → 120
Calls

3 calls:

82.0ms
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
37.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))
21.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))

rewrite112.0ms (2.7%)

Algorithm
batch-egg-rewrite
Rules
267×expm1-udef_binary64
267×log1p-udef_binary64
146×add-sqr-sqrt_binary64
140×log1p-expm1-u_binary64
140×expm1-log1p-u_binary64
Counts
3 → 128
Calls

3 calls:

109.0ms
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
109.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))
109.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01245
127945
2415545
3498945
4493945

simplify85.0ms (2.1%)

Algorithm
egg-herbie
Rules
621×fma-neg_binary64
529×times-frac_binary64
345×associate-/l*_binary64
300×associate-/r*_binary64
245×associate-*r*_binary64
Counts
248 → 167
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0912594
12732584
28992544
342722534
449572534

prune125.0ms (3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1643167
Fresh101
Picked101
Done000
Total1663169
Error
0.0b
Counts
169 → 3
Alt Table
StatusErrorProgram
2.9b
(-.f64 x (/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z)))
2.9b
(-.f64 x (*.f64 y (/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 z 2))))))
25.0b
(fma.f64 2 (/.f64 z t) x)
Compiler

Compiled 3727 to 2045 computations (45.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z)))
4.1b
(*.f64 (/.f64 y z) t)
5.6b
(/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z))

series70.0ms (1.7%)

Counts
3 → 120
Calls

3 calls:

37.0ms
(-.f64 x (/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z)))
21.0ms
(/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z))
12.0ms
(*.f64 (/.f64 y z) t)

rewrite90.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
609×prod-diff_binary64
229×expm1-udef_binary64
229×log1p-udef_binary64
165×egg-rr
126×add-sqr-sqrt_binary64
Counts
3 → 165
Calls

3 calls:

84.0ms
(-.f64 x (/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z)))
83.0ms
(*.f64 (/.f64 y z) t)
83.0ms
(/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
124338
2326738
3523138

simplify85.0ms (2.1%)

Algorithm
egg-herbie
Rules
621×fma-neg_binary64
529×times-frac_binary64
345×associate-/l*_binary64
300×associate-/r*_binary64
245×associate-*r*_binary64
Counts
285 → 202
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0912486
12732476
28992436
342722426
449572426

prune154.0ms (3.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New2002202
Fresh112
Picked011
Done000
Total2014205
Error
0b
Counts
205 → 4
Alt Table
StatusErrorProgram
2.9b
(-.f64 x (/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z)))
2.9b
(-.f64 x (/.f64 y (fma.f64 (/.f64 t (/.f64 z y)) -1/2 z)))
25.9b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z))) 2))
25.0b
(fma.f64 2 (/.f64 z t) x)
Compiler

Compiled 7324 to 3206 computations (56.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(-.f64 x (/.f64 y (fma.f64 (/.f64 t (/.f64 z y)) -1/2 z)))
4.2b
(/.f64 t (/.f64 z y))
5.6b
(/.f64 y (fma.f64 (/.f64 t (/.f64 z y)) -1/2 z))

series73.0ms (1.8%)

Counts
3 → 120
Calls

3 calls:

38.0ms
(-.f64 x (/.f64 y (fma.f64 (/.f64 t (/.f64 z y)) -1/2 z)))
24.0ms
(/.f64 y (fma.f64 (/.f64 t (/.f64 z y)) -1/2 z))
11.0ms
(/.f64 t (/.f64 z y))

rewrite92.0ms (2.2%)

Algorithm
batch-egg-rewrite
Rules
636×prod-diff_binary64
235×log1p-udef_binary64
183×egg-rr
130×add-sqr-sqrt_binary64
123×log1p-expm1-u_binary64
Counts
3 → 183
Calls

3 calls:

86.0ms
(-.f64 x (/.f64 y (fma.f64 (/.f64 t (/.f64 z y)) -1/2 z)))
86.0ms
(/.f64 t (/.f64 z y))
86.0ms
(/.f64 y (fma.f64 (/.f64 t (/.f64 z y)) -1/2 z))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01138
124938
2349138
3522938

simplify86.0ms (2.1%)

Algorithm
egg-herbie
Rules
621×fma-neg_binary64
529×times-frac_binary64
345×associate-/l*_binary64
300×associate-/r*_binary64
245×associate-*r*_binary64
Counts
303 → 222
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0912486
12732476
28992436
342722426
449572426

prune193.0ms (4.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2220222
Fresh022
Picked011
Done011
Total2224226
Error
0b
Counts
226 → 4
Alt Table
StatusErrorProgram
2.9b
(-.f64 x (/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z)))
2.9b
(-.f64 x (/.f64 y (fma.f64 (/.f64 t (/.f64 z y)) -1/2 z)))
25.9b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z))) 2))
25.0b
(fma.f64 2 (/.f64 z t) x)
Compiler

Compiled 7676 to 3340 computations (56.5% saved)

localize4.0ms (0.1%)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
2.9b
(-.f64 x (/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z)))
2.9b
(-.f64 x (/.f64 y (fma.f64 (/.f64 t (/.f64 z y)) -1/2 z)))
25.9b
(-.f64 x (pow.f64 (sqrt.f64 (/.f64 y (fma.f64 (*.f64 (/.f64 y z) t) -1/2 z))) 2))
25.0b
(fma.f64 2 (/.f64 z t) x)
Compiler

Compiled 61 to 40 computations (34.4% saved)

regimes147.0ms (3.6%)

Accuracy

Total 1.5b remaining (99.5%)

Threshold costs 0b (0%)

Counts
13 → 2
Compiler

Compiled 1408 to 928 computations (34.1% saved)

bsearch1.0ms (0%)

Compiler

Compiled 21 to 14 computations (33.3% saved)

simplify5.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02966
14766
27466
39666
411666
512266
612466
712366

end72.0ms (1.8%)

Compiler

Compiled 159 to 98 computations (38.4% saved)

Profiling

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