Details

Time bar (total: 2.7s)

analyze114.0ms (4.1%)

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
50%50%0.1%5
56.2%43.7%0.1%6
74.9%25%0.1%7
76.5%23.4%0.1%8
84.3%15.6%0.1%9
86.2%13.7%0.1%10
91.3%8.6%0.1%11
92.6%7.3%0.1%12
95.4%4.5%0.1%13
96.1%3.8%0.1%14
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample30.0ms (1.1%)

Algorithm
intervals
Results
8.0ms44×body1024valid
7.0ms169×body128valid
3.0ms26×body512valid
1.0ms17×body256valid
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify8.0ms (0.3%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
associate-/l*_binary64
associate-/r/_binary64 associate-*l/_binary64 associate-*r/_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
3169
4179
5179

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.1b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))

rewrite60.0ms (2.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×add-cube-cbrt_binary64 *-un-lft-identity_binary64
13×associate-*r*_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
Counts
2 → 59
Calls

2 calls:

10.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
4.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 743 to 193 computations (74% saved)

series44.0ms (1.6%)

Error
0.1b
Counts
2 → 13
Calls

2 calls:

28.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
9.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 296 to 206 computations (30.4% saved)

simplify110.0ms (4%)

Algorithm
egg-herbie
Rules
473×associate-/r/_binary64
287×associate-*l*_binary64
266×unswap-sqr_binary64
228×associate-*r*_binary64
213×distribute-rgt-in_binary64
Counts
72 → 30
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0103929
1231846
2689843
31987843
42867843
54279843
64932843
74780843

prune26.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New24630
Fresh000
Picked011
Done000
Total24731
Error
0b
Counts
31 → 7
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
13.2b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
33.9b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
6.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
35.8b
(exp.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
30.6b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
7.5b
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 1)
Compiler

Compiled 416 to 184 computations (55.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
5.3b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))

rewrite74.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
38×add-sqr-sqrt_binary64
28×times-frac_binary64
25×add-exp-log_binary64
22×add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*r*_binary64
20×cbrt-prod_binary64
Counts
4 → 92
Calls

4 calls:

16.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1907 to 341 computations (82.1% saved)

series90.0ms (3.3%)

Error
0b
Counts
4 → 17
Calls

4 calls:

31.0ms
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
19.0ms
(cbrt.f64 y)
16.0ms
(cbrt.f64 y)
16.0ms
(cbrt.f64 y)
Compiler

Compiled 619 to 396 computations (36% saved)

simplify88.0ms (3.2%)

Algorithm
egg-herbie
Rules
852×associate-/r*_binary64
555×associate-/l/_binary64
411×*-commutative_binary64
246×log-div_binary64
223×cube-div_binary64
Counts
109 → 79
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01492089
14091381
216881353
342301353
449891353

prune40.0ms (1.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New79079
Fresh055
Picked011
Done011
Total79786
Error
0b
Counts
86 → 7
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
13.2b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
33.9b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
6.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
35.8b
(exp.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
30.6b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
7.5b
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 1)
Compiler

Compiled 1118 to 435 computations (61.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (sin.f64 y))
7.5b
(/.f64 (*.f64 x (sin.f64 y)) y)

rewrite39.0ms (1.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-exp-log_binary64 add-cbrt-cube_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64 *-un-lft-identity_binary64
pow1_binary64
times-frac_binary64 associate-/r*_binary64 associate-*l*_binary64 associate-*r*_binary64
Counts
2 → 39
Calls

2 calls:

5.0ms
(/.f64 (*.f64 x (sin.f64 y)) y)
4.0ms
(*.f64 x (sin.f64 y))
Compiler

Compiled 505 to 199 computations (60.6% saved)

series54.0ms (1.9%)

Error
0b
Counts
2 → 16
Calls

2 calls:

26.0ms
(/.f64 (*.f64 x (sin.f64 y)) y)
22.0ms
(*.f64 x (sin.f64 y))
Compiler

Compiled 440 to 311 computations (29.3% saved)

simplify127.0ms (4.6%)

Algorithm
egg-herbie
Rules
745×times-frac_binary64
562×associate-/l*_binary64
312×cancel-sign-sub-inv_binary64
281×associate-*l*_binary64
231×distribute-rgt-neg-in_binary64
Counts
55 → 19
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089641
1212558
2746549
33304546
43924546
54762546
64989546
75000546
84896546

prune20.0ms (0.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New19019
Fresh044
Picked011
Done022
Total19726
Error
0b
Counts
26 → 7
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
13.2b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
33.9b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
6.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
35.8b
(exp.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
30.6b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
7.5b
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 1)
Compiler

Compiled 307 to 177 computations (42.3% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
0.1b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
0.2b
(pow.f64 (/.f64 (sin.f64 y) y) 3)
18.4b
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))

rewrite151.0ms (5.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
74×add-sqr-sqrt_binary64
70×cbrt-prod_binary64
65×times-frac_binary64
59×add-cube-cbrt_binary64 *-un-lft-identity_binary64
41×unpow-prod-down_binary64 cube-prod_binary64
Counts
4 → 172
Calls

4 calls:

17.0ms
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
6.0ms
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
5.0ms
(pow.f64 (/.f64 (sin.f64 y) y) 3)
4.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 2182 to 993 computations (54.5% saved)

series80.0ms (2.9%)

Error
0b
Counts
4 → 23
Calls

4 calls:

26.0ms
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
15.0ms
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3))
14.0ms
(pow.f64 (/.f64 (sin.f64 y) y) 3)
12.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 648 to 485 computations (25.2% saved)

simplify131.0ms (4.8%)

Algorithm
egg-herbie
Rules
629×associate-/l*_binary64
618×log-div_binary64
448×associate-/r*_binary64
363×unswap-sqr_binary64
234×associate-/l/_binary64
Counts
195 → 154
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02032731
14592467
215402448
346472448
455312448

prune58.0ms (2.1%)

Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1540154
Fresh033
Picked011
Done033
Total1547161
Error
0b
Counts
161 → 7
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
13.2b
(*.f64 x (cbrt.f64 (pow.f64 (/.f64 (sin.f64 y) y) 3)))
33.9b
(*.f64 (sqrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)) (sqrt.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
6.6b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
35.8b
(exp.f64 (log.f64 (/.f64 (*.f64 x (sin.f64 y)) y)))
30.6b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
7.5b
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 1)
Compiler

Compiled 1136 to 455 computations (59.9% saved)

regimes155.0ms (5.7%)

Accuracy

Total 0.1b remaining (73.7%)

Threshold costs 0.1b (73.7%)

Compiler

Compiled 1624 to 938 computations (42.2% saved)

simplify4.0ms (0.2%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
179
279

end1.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.2s (44.2%)

Algorithm
intervals
Results
427.0ms1264×body1024valid
251.0ms5378×body128valid
110.0ms856×body512valid
50.0ms498×body256valid
2.0msbody2048valid
Compiler

Compiled 102 to 62 computations (39.2% saved)

Profiling

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