Details

Time bar (total: 5.0s)

analyze541.0ms (10.9%)

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
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
42.1%57.7%0.1%9
56.9%42.9%0.1%10
59.5%40.4%0.1%11
68.1%31.8%0.1%12
75.1%24.4%0.5%13
75.7%23.3%1%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample2.0s (40.7%)

Results
761.0ms5585×body128valid
757.0ms1441×body1024valid
261.0ms805×body512valid
96.0ms420×body256valid
69.0ms532×body128invalid
18.0ms59×body512invalid
14.0ms30×body1024invalid
9.0ms38×body256invalid
6.0msbody2048valid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify9.0ms (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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
3.0b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize6.0ms (0.1%)

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)
3.0b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series40.0ms (0.8%)

Counts
3 → 64
Calls

3 calls:

25.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
12.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)

rewrite15.0ms (0.3%)

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:

4.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
2.0ms
(/.f64 (sin.f64 y) y)

simplify116.0ms (2.3%)

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

prune95.0ms (1.9%)

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
3.4b
(/.f64 x (/.f64 z (/.f64 (sin.f64 y) y)))
11.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
3.1b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
34.2b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
3.1b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
7.6b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
8.2b
(/.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 y) x) y)) z)
3.9b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) z)
Compiler

Compiled 2335 to 792 computations (66.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.1b
(/.f64 (/.f64 (sin.f64 y) y) z)
2.6b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))

series38.0ms (0.8%)

Counts
2 → 60
Calls

2 calls:

25.0ms
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
12.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)

rewrite37.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
165×times-frac_binary64
116×add-sqr-sqrt_binary64
89×*-un-lft-identity_binary64
86×add-cube-cbrt_binary64
43×associate-*r*_binary64
Counts
2 → 166
Calls

2 calls:

16.0ms
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
4.0ms
(/.f64 (/.f64 (sin.f64 y) y) z)

simplify167.0ms (3.4%)

Algorithm
egg-herbie
Rules
768×fma-def_binary64
466×fma-neg_binary64
365×*-commutative_binary64
259×associate-/l*_binary64
190×associate-/l/_binary64
Counts
226 → 272
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02844028
16713778
223133770
328983766
441303766
549673766
649683766

prune187.0ms (3.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3101311
Fresh178
Picked011
Done000
Total3119320
Error
0.0b
Counts
320 → 9
Alt Table
StatusErrorProgram
8.7b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) z))
3.1b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
3.1b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
34.2b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
11.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
7.6b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
8.2b
(/.f64 (*.f64 1 (/.f64 (*.f64 (sin.f64 y) x) y)) z)
3.9b
(/.f64 (*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (/.f64 (sin.f64 y) y))) z)
Compiler

Compiled 6222 to 2036 computations (67.3% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(/.f64 y (sin.f64 y))
0.1b
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
0.2b
(/.f64 1 (/.f64 y (sin.f64 y)))
3.0b
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)

series53.0ms (1.1%)

Counts
4 → 76
Calls

4 calls:

32.0ms
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
11.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms
(/.f64 y (sin.f64 y))
3.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))

rewrite42.0ms (0.8%)

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:

12.0ms
(*.f64 x (/.f64 1 (/.f64 y (sin.f64 y))))
7.0ms
(/.f64 (*.f64 x (/.f64 1 (/.f64 y (sin.f64 y)))) z)
4.0ms
(/.f64 1 (/.f64 y (sin.f64 y)))
2.0ms
(/.f64 y (sin.f64 y))

simplify156.0ms (3.1%)

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

prune236.0ms (4.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3402342
Fresh257
Picked101
Done011
Total3438351
Error
0b
Counts
351 → 8
Alt Table
StatusErrorProgram
8.7b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) z))
3.1b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
3.0b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
34.2b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
11.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
3.4b
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
7.6b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
Compiler

Compiled 6289 to 2564 computations (59.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 y (sin.f64 y))
0.1b
(/.f64 x (/.f64 y (sin.f64 y)))
3.0b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)

series37.0ms (0.7%)

Counts
2 → 60
Calls

2 calls:

26.0ms
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
11.0ms
(/.f64 x (/.f64 y (sin.f64 y)))

rewrite47.0ms (1%)

Algorithm
rewrite-expression-head
Rules
471×times-frac_binary64
229×*-un-lft-identity_binary64
229×add-sqr-sqrt_binary64
229×add-cube-cbrt_binary64
47×associate-/l*_binary64
Counts
2 → 270
Calls

2 calls:

9.0ms
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
4.0ms
(/.f64 x (/.f64 y (sin.f64 y)))

simplify255.0ms (5.1%)

Algorithm
egg-herbie
Rules
623×associate-/l/_binary64
480×associate-*r*_binary64
473×fma-def_binary64
315×associate-/l*_binary64
302×associate-/r*_binary64
Counts
330 → 435
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
04867932
111637711
232947687
342607681
449777681
549617681

prune223.0ms (4.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New4741475
Fresh156
Picked011
Done011
Total4758483
Error
0b
Counts
483 → 8
Alt Table
StatusErrorProgram
8.7b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (/.f64 (/.f64 (cbrt.f64 (sin.f64 y)) y) z))
3.1b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
3.0b
(/.f64 (/.f64 x (/.f64 y (sin.f64 y))) z)
10.4b
(/.f64 (/.f64 1 y) (/.f64 z (*.f64 (sin.f64 y) x)))
11.6b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
3.4b
(/.f64 x (*.f64 z (/.f64 y (sin.f64 y))))
7.6b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.7b
(*.f64 (/.f64 x 1) (/.f64 (/.f64 (sin.f64 y) y) z))
Compiler

Compiled 9453 to 2035 computations (78.5% saved)

regimes496.0ms (10%)

Accuracy

Total 0.4b remaining (96.5%)

Threshold costs 0.4b (96.5%)

Counts
53 → 3
Compiler

Compiled 5371 to 3232 computations (39.8% saved)

bsearch32.0ms (0.6%)

Steps
ItersRangePoint
1
1.1291022018937413e-7
2.2625971546598413e-7
1.6643543314697557e-7
7
-1.6806934998315805e-102
-1.2392433736774927e-104
-1.6559076628097083e-102
Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02048
12248
22248

end88.0ms (1.8%)

Compiler

Compiled 173 to 101 computations (41.6% saved)

Profiling

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