Details

Time bar (total: 4.8s)

analyze554.0ms (11.5%)

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)

sample65.0ms (1.3%)

Algorithm
intervals
Results
15.0ms47×body1024valid
11.0ms175×body128valid
4.0ms23×body512valid
1.0ms11×body256valid
1.0ms12×body128invalid
1.0msbody1024invalid
1.0msbody512invalid
0.0msbody256invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify7.0ms (0.1%)

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
2.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
2.5b
(/.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 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
2.4b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

series81.0ms (1.7%)

Counts
3 → 64
Calls

3 calls:

51.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
27.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
3.0ms
(/.f64 (sin.f64 y) y)

rewrite20.0ms (0.4%)

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:

8.0ms
(*.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)

simplify113.0ms (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 → 144
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702095
14081905
214871887
337001881
447431881
549911881
649691881

prune104.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1359144
Fresh000
Picked101
Done000
Total1369145
Error
0.0b
Counts
145 → 9
Alt Table
StatusErrorProgram
7.7b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
3.3b
(/.f64 (*.f64 x (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y))))) z)
6.7b
(/.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y))) z)
29.9b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
10.3b
(/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))
2.5b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
3.0b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
2.5b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
31.7b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
Compiler

Compiled 2331 to 788 computations (66.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
0.2b
(*.f64 (sin.f64 y) (/.f64 1 y))
2.4b
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)

series42.0ms (0.9%)

Counts
3 → 72
Calls

3 calls:

27.0ms
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
12.0ms
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))
3.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))

rewrite29.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
49×add-exp-log_binary64
31×add-cbrt-cube_binary64
22×prod-exp_binary64
21×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
Counts
3 → 95
Calls

3 calls:

10.0ms
(/.f64 (*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y))) z)
6.0ms
(*.f64 (sin.f64 y) (/.f64 1 y))
6.0ms
(*.f64 x (*.f64 (sin.f64 y) (/.f64 1 y)))

simplify96.0ms (2%)

Algorithm
egg-herbie
Rules
526×associate-/r*_binary64
479×fma-def_binary64
472×associate-*l/_binary64
439×associate-*r/_binary64
327×associate-/l/_binary64
Counts
167 → 164
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01702130
14111865
213661847
342601843
449551843
549721843

prune123.0ms (2.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1622164
Fresh268
Picked101
Done000
Total1658173
Error
0.0b
Counts
173 → 8
Alt Table
StatusErrorProgram
2.3b
(/.f64 x (/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y))))
7.7b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
3.3b
(/.f64 (*.f64 x (/.f64 (*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y))) (/.f64 y (cbrt.f64 (sin.f64 y))))) z)
29.9b
(*.f64 (/.f64 x (sqrt.f64 z)) (/.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 z)))
3.3b
(/.f64 (*.f64 x (*.f64 (/.f64 (sin.f64 y) (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 1 (cbrt.f64 y)))) z)
2.5b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
3.0b
(/.f64 1 (/.f64 z (*.f64 x (/.f64 (sin.f64 y) y))))
31.7b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
Compiler

Compiled 2770 to 1308 computations (52.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series99.0ms (2.1%)

Counts
2 → 60
Calls

2 calls:

67.0ms
(/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y)))
32.0ms
(/.f64 x (/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y))))

rewrite19.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
42×times-frac_binary64
39×add-exp-log_binary64
25×add-cbrt-cube_binary64
22×*-un-lft-identity_binary64
22×add-sqr-sqrt_binary64
Counts
2 → 91
Calls

2 calls:

7.0ms
(/.f64 x (/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y))))
5.0ms
(/.f64 z (*.f64 (sin.f64 y) (/.f64 1 y)))

simplify83.0ms (1.7%)

Algorithm
egg-herbie
Rules
664×associate-/r*_binary64
643×associate-/r/_binary64
631×associate-/l*_binary64
515×associate-/l/_binary64
442×associate-*l/_binary64
Counts
151 → 161
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01982418
14592155
214512142
344532141
449732141

prune168.0ms (3.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New2213224
Fresh527
Picked101
Done000
Total2275232
Error
0b
Counts
232 → 5
Alt Table
StatusErrorProgram
2.5b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
3.3b
(/.f64 (/.f64 x z) (/.f64 1 (*.f64 (sin.f64 y) (/.f64 1 y))))
10.6b
(*.f64 (/.f64 1 (/.f64 z (sin.f64 y))) (/.f64 x y))
7.8b
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
31.7b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
Compiler

Compiled 3765 to 1639 computations (56.5% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(/.f64 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
2.5b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

series31.0ms (0.6%)

Counts
1 → 36
Calls

1 calls:

31.0ms
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))

rewrite11.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
40×add-exp-log_binary64
22×add-cbrt-cube_binary64
20×prod-exp_binary64
13×associate-*r*_binary64
10×cbrt-unprod_binary64
Counts
1 → 48
Calls

1 calls:

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

simplify76.0ms (1.6%)

Algorithm
egg-herbie
Rules
624×associate-*l/_binary64
579×associate-*r/_binary64
378×fma-def_binary64
374×associate-/l*_binary64
328×times-frac_binary64
Counts
84 → 72
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01141310
12871132
29701128
337211126
447011124
550341124

prune98.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1680168
Fresh044
Picked011
Done000
Total1685173
Error
0b
Counts
173 → 5
Alt Table
StatusErrorProgram
2.5b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) y)) (/.f64 1 z))
3.3b
(/.f64 (/.f64 x z) (/.f64 1 (*.f64 (sin.f64 y) (/.f64 1 y))))
10.6b
(*.f64 (/.f64 1 (/.f64 z (sin.f64 y))) (/.f64 x y))
7.8b
(/.f64 (*.f64 (sin.f64 y) (/.f64 x z)) y)
31.7b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
Compiler

Compiled 2839 to 1131 computations (60.2% saved)

regimes1.6s (32.4%)

Accuracy

Total 1.3b remaining (97.4%)

Threshold costs 0b (0%)

Counts
187 → 2
Compiler

Compiled 17910 to 11598 computations (35.2% saved)

bsearch13.0ms (0.3%)

Steps
ItersRangePoint
3
0.0008087177455408247
0.0016602470291774093
0.0012779817648914992
Compiler

Compiled 4 to 3 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02141
12541
22441

end1.0ms (0%)

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.4s (28.9%)

Algorithm
intervals
Results
431.0ms1352×body1024valid
338.0ms5375×body128valid
156.0ms832×body512valid
53.0ms437×body256valid
39.0ms544×body128invalid
10.0ms50×body512invalid
5.0ms17×body1024invalid
5.0ms41×body256invalid
2.0msbody2048valid
Compiler

Compiled 118 to 75 computations (36.4% saved)

Profiling

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