Details

Time bar (total: 7.6s)

analyze487.0ms (6.4%)

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
25%74.9%0.1%5
37.4%62.4%0.1%6
56.2%43.7%0.1%7
56.2%43.7%0.1%8
65.5%34.3%0.1%9
76.5%23.4%0.1%10
76.5%23.4%0.1%11
81.9%17.9%0.1%12
87.8%12.1%0.1%13
87.8%12.1%0.1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.6s (34.7%)

Results
1.1s5702×body128valid
1.0s1326×body1024valid
342.0ms809×body512valid
127.0ms417×body256valid
3.0msbody2048valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify16.0ms (0.2%)

Algorithm
egg-herbie
Rules
14×associate-/l*_binary64
12×*-commutative_binary64
10×associate-/r/_binary64
associate-*l/_binary64
associate-*r/_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22412
34812
46312
56812
66812

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
2.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
2.2b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
2.1b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series79.0ms (1%)

Counts
3 → 64
Calls

3 calls:

46.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
27.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
5.0ms
(/.f64 (sin.f64 y) y)

rewrite36.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
22×times-frac_binary64
21×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64
19×add-cbrt-cube_binary64
Counts
3 → 89
Calls

3 calls:

12.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
10.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
5.0ms
(/.f64 (sin.f64 y) y)

simplify208.0ms (2.7%)

Algorithm
egg-herbie
Rules
611×fma-def_binary64
563×associate-/l/_binary64
381×associate-/r*_binary64
381×associate-/r/_binary64
361×fma-neg_binary64
Counts
153 → 146
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702095
14081905
214871887
337001881
447431881
549911881
649691881

prune324.0ms (4.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1379146
Fresh000
Picked101
Done000
Total1389147
Error
0.0b
Counts
147 → 9
Alt Table
StatusErrorProgram
4.1b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
11.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
2.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
34.3b
(/.f64 (*.f64 x (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y))) z)
27.7b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
35.8b
(/.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)) (sqrt.f64 z))
7.0b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
3.0b
(/.f64 (*.f64 x (*.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 (cbrt.f64 (sin.f64 y)) y))) z)
2.4b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
Compiler

Compiled 2363 to 792 computations (66.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.1b
(/.f64 y (sin.f64 y))
0.2b
(/.f64 1 (/.f64 y (sin.f64 y)))
2.1b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

series92.0ms (1.2%)

Counts
4 → 76
Calls

4 calls:

50.0ms
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
21.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
16.0ms
(/.f64 y (sin.f64 y))
5.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite106.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
159×times-frac_binary64
106×add-sqr-sqrt_binary64
94×*-un-lft-identity_binary64
92×add-cube-cbrt_binary64
64×add-exp-log_binary64
Counts
4 → 215
Calls

4 calls:

52.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
22.0ms
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
9.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))
4.0ms
(/.f64 y (sin.f64 y))

simplify200.0ms (2.6%)

Algorithm
egg-herbie
Rules
785×fma-def_binary64
596×associate-/r/_binary64
535×associate-/l/_binary64
505×associate-/r*_binary64
360×fma-neg_binary64
Counts
291 → 342
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02364176
15363683
217253636
341113628
449863628
549703628

prune492.0ms (6.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3402342
Fresh268
Picked011
Done000
Total3429351
Error
0.0b
Counts
351 → 9
Alt Table
StatusErrorProgram
2.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
34.3b
(/.f64 (*.f64 x (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y))) z)
27.7b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
35.8b
(/.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)) (sqrt.f64 z))
2.4b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
4.1b
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
4.1b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
7.0b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
2.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))) z)
Compiler

Compiled 6333 to 2588 computations (59.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.1b
(/.f64 1 (/.f64 (sin.f64 y) y))
0.2b
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))
2.1b
(/.f64 (*.f64 x (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))) z)

series59.0ms (0.8%)

Counts
3 → 60
Calls

3 calls:

46.0ms
(/.f64 (*.f64 x (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))) z)
9.0ms
(/.f64 1 (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))

rewrite93.0ms (1.2%)

Algorithm
rewrite-expression-head
Rules
474×times-frac_binary64
232×*-un-lft-identity_binary64
232×add-sqr-sqrt_binary64
232×add-cube-cbrt_binary64
147×add-exp-log_binary64
Counts
3 → 348
Calls

3 calls:

18.0ms
(/.f64 (*.f64 x (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))) z)
15.0ms
(/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))
7.0ms
(/.f64 1 (/.f64 (sin.f64 y) y))

simplify495.0ms (6.5%)

Algorithm
egg-herbie
Rules
683×fma-neg_binary64
503×associate-/l/_binary64
501×fma-def_binary64
349×sub-neg_binary64
329×*-commutative_binary64
Counts
408 → 469
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02546001
14965532
214975495
328305489
441645489
546005489
649455489

prune718.0ms (9.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New5080508
Fresh077
Picked011
Done011
Total5089517
Error
0.0b
Counts
517 → 9
Alt Table
StatusErrorProgram
2.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
34.3b
(/.f64 (*.f64 x (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y))) z)
27.7b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
35.8b
(/.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)) (sqrt.f64 z))
2.4b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
4.1b
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
4.1b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
7.0b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
2.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))) z)
Compiler

Compiled 11093 to 5547 computations (50% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
0.4b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
2.1b
(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

series125.0ms (1.6%)

Counts
2 → 72
Calls

2 calls:

72.0ms
(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))
53.0ms
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))

rewrite36.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
45×add-exp-log_binary64
39×times-frac_binary64
25×add-cbrt-cube_binary64
24×div-exp_binary64
21×*-un-lft-identity_binary64
Counts
2 → 92
Calls

2 calls:

12.0ms
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
10.0ms
(/.f64 z (*.f64 x (/.f64 (sin.f64 y) y)))

simplify127.0ms (1.7%)

Algorithm
egg-herbie
Rules
717×associate-/l*_binary64
592×associate-/r/_binary64
585×associate-/r*_binary64
478×associate-*l/_binary64
386×associate-/l/_binary64
Counts
164 → 141
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01552773
13522413
212372380
344942380
449832380

prune237.0ms (3.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New2381239
Fresh156
Picked011
Done022
Total2399248
Error
0b
Counts
248 → 9
Alt Table
StatusErrorProgram
2.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
34.3b
(/.f64 (*.f64 x (*.f64 (sqrt.f64 (sin.f64 y)) (/.f64 (sqrt.f64 (sin.f64 y)) y))) z)
27.7b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)) (sqrt.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)))
35.8b
(/.f64 (/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (sqrt.f64 z)) (sqrt.f64 z))
9.5b
(/.f64 1 (*.f64 (/.f64 z (*.f64 x (sin.f64 y))) y))
2.2b
(/.f64 (*.f64 x (/.f64 1 (/.f64 1 (/.f64 (sin.f64 y) y)))) z)
4.1b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
7.0b
(/.f64 (/.f64 (*.f64 (sin.f64 y) x) y) z)
2.4b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
Compiler

Compiled 4144 to 1494 computations (63.9% saved)

regimes687.0ms (9.1%)

Accuracy

Total 0.7b remaining (96.4%)

Threshold costs 0.7b (96.4%)

Counts
58 → 3
Compiler

Compiled 5813 to 3437 computations (40.9% saved)

bsearch62.0ms (0.8%)

Steps
ItersRangePoint
7
2.7178252364653622e+23
1.0638872479266111e+27
5.5093964453865166e+23
7
-1.905738423656138e+181
-9.889833212287633e+179
-9.975770992237415e+179
Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02148
12248
22248

end203.0ms (2.7%)

Compiler

Compiled 199 to 117 computations (41.2% saved)

Profiling

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