Details

Time bar (total: 4.5s)

analyze1.8s (41.2%)

Algorithm
1×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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
0%99.8%0.2%11
0%99.8%0.2%12
0%99.8%0.2%13
0%99.8%0.2%14
Compiler

Compiled 22 to 15 computations (31.8% saved)

sample1.3s (28.1%)

Results
1.2s8256×body128valid
Compiler

Compiled 65 to 44 computations (32.3% saved)

simplify55.0ms (1.2%)

Algorithm
1×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

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.9b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶1.6b
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
11.3b
(-.f64 x (/.f64 (*.f64 (*.f64 y 2) z) (-.f64 (*.f64 (*.f64 z 2) z) (*.f64 y t))))
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)))))
✓4.6b
(/.f64 (*.f64 y t) (*.f64 2 z))
✓5.0b
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))

series104.0ms (2.3%)

Counts
3 → 120
Calls

3 calls:

48.0ms
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
31.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
25.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))

rewrite44.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
108×add-sqr-sqrt_binary64
105×*-un-lft-identity_binary64
77×times-frac_binary64
71×add-cube-cbrt_binary64
63×prod-diff_binary64
Counts
3 → 165
Calls

3 calls:

13.0ms
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
5.0ms
(/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
4.0ms
(/.f64 (*.f64 y t) (*.f64 2 z))

simplify179.0ms (4%)

Algorithm
1×egg-herbie
Rules
325×cancel-sign-sub-inv_binary64
304×distribute-neg-frac_binary64
221×times-frac_binary64
203×associate-/l*_binary64
182×associate-*r/_binary64
Counts
285 → 254
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038410579
110577887
233516717
347866717

prune219.0ms (4.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2522254
Fresh101
Picked011
Done000
Total2533256
Error
0b
Counts
256 → 3
Alt Table
StatusErrorProgram
21.9b
(fma.f64 2 (/.f64 z t) x)
✓1.6b
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
▶1.7b
(-.f64 x (*.f64 y (/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))))
Compiler

Compiled 9896 to 5034 computations (49.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (*.f64 y (/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))))
✓0.9b
(/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
✓4.3b
(*.f64 y (/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
4.6b
(/.f64 (*.f64 y t) (*.f64 2 z))

series118.0ms (2.6%)

Counts
3 → 120
Calls

3 calls:

51.0ms
(-.f64 x (*.f64 y (/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))))
33.0ms
(/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
33.0ms
(*.f64 y (/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))

rewrite30.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
46×add-sqr-sqrt_binary64
40×*-un-lft-identity_binary64
32×times-frac_binary64
25×add-cube-cbrt_binary64
21×associate-*r*_binary64
Counts
3 → 109
Calls

3 calls:

14.0ms
(*.f64 y (/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
5.0ms
(/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))
3.0ms
(-.f64 x (*.f64 y (/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))))

simplify156.0ms (3.5%)

Algorithm
1×egg-herbie
Rules
635×fma-def_binary64
234×fma-neg_binary64
231×associate-/r/_binary64
206×associate-/l/_binary64
205×distribute-rgt-neg-in_binary64
Counts
229 → 213
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02356000
16245773
221305441
348795441
449275441

prune192.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2500250
Fresh011
Picked011
Done011
Total2503253
Error
0b
Counts
253 → 3
Alt Table
StatusErrorProgram
▶21.9b
(fma.f64 2 (/.f64 z t) x)
✓1.6b
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
✓1.7b
(-.f64 x (*.f64 y (/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))))
Compiler

Compiled 6395 to 3517 computations (45% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(fma.f64 2 (/.f64 z t) x)

series10.0ms (0.2%)

Counts
1 → 36
Calls

1 calls:

10.0ms
(fma.f64 2 (/.f64 z t) x)

rewrite1.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
1×*-un-lft-identity_binary64
1×add-sqr-sqrt_binary64
1×add-cube-cbrt_binary64
1×add-cbrt-cube_binary64
1×add-exp-log_binary64
Counts
1 → 10
Calls

1 calls:

0.0ms
(fma.f64 2 (/.f64 z t) x)

simplify77.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
548×associate-*l/_binary64
542×distribute-rgt-in_binary64
507×distribute-lft-in_binary64
443×associate-+l+_binary64
396×fma-def_binary64
Counts
46 → 14
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
018376
123359
249359
3126359
4432359
51628359
64283359
74686359
84929359
94999359

prune7.0ms (0.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New14014
Fresh000
Picked011
Done022
Total14317
Error
0b
Counts
17 → 3
Alt Table
StatusErrorProgram
✓21.9b
(fma.f64 2 (/.f64 z t) x)
✓1.6b
(-.f64 x (/.f64 y (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z)))))
✓1.7b
(-.f64 x (*.f64 y (/.f64 1 (-.f64 z (/.f64 (*.f64 y t) (*.f64 2 z))))))
Compiler

Compiled 185 to 99 computations (46.5% saved)

regimes103.0ms (2.3%)

Accuracy

Total 2.3b remaining (79.6%)

Threshold costs 0b (0%)

Counts
14 → 1
Compiler

Compiled 1414 to 964 computations (31.8% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
11819
23019
34319
45119
55519
65619
75619

end52.0ms (1.2%)

Compiler

Compiled 80 to 53 computations (33.8% saved)

Profiling

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