Details

Time bar (total: 2.7s)

analyze139.0ms (5.2%)

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)

sample33.0ms (1.2%)

Algorithm
intervals
Results
10.0ms194×body128valid
10.0ms29×body1024valid
4.0ms25×body512valid
1.0msbody256valid
Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify12.0ms (0.5%)

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

prune1.0ms (0%)

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)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite52.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
23×add-sqr-sqrt_binary64
19×times-frac_binary64
18×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
13×associate-*r*_binary64
Counts
2 → 59
Calls

2 calls:

5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
2.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 743 to 193 computations (74% saved)

series28.0ms (1%)

Error
0.0b
Counts
2 → 15
Calls

2 calls:

15.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 342 to 241 computations (29.5% saved)

simplify105.0ms (3.9%)

Algorithm
egg-herbie
Rules
532×associate-/r/_binary64
459×cancel-sign-sub-inv_binary64
445×distribute-rgt-neg-in_binary64
346×associate-*l*_binary64
260×associate-*r*_binary64
Counts
74 → 41
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0114994
1261908
2808902
32269902
43894902
54853902
65129902

prune22.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New36541
Fresh000
Picked011
Done000
Total36642
Error
0.0b
Counts
42 → 6
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
31.1b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
8.1b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.1b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x)))
7.7b
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
1.1b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
Compiler

Compiled 482 to 189 computations (60.8% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite46.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64
15×add-cube-cbrt_binary64
11×pow1_binary64
Counts
4 → 73
Calls

4 calls:

7.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 1217 to 234 computations (80.8% saved)

series52.0ms (1.9%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

13.0ms
(*.f64 (cbrt.f64 x) (cbrt.f64 x))
12.0ms
(cbrt.f64 x)
11.0ms
(cbrt.f64 x)
11.0ms
(cbrt.f64 x)
Compiler

Compiled 550 to 347 computations (36.9% saved)

simplify90.0ms (3.3%)

Algorithm
egg-herbie
Rules
735×log-prod_binary64
577×distribute-rgt-in_binary64
538×distribute-lft-in_binary64
525×unswap-sqr_binary64
287×associate-*l*_binary64
Counts
85 → 64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
054624
194576
2292556
3763542
41759418
54280418
64543418
74810418

prune18.0ms (0.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh044
Picked011
Done011
Total63770
Error
0.0b
Counts
70 → 7
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
31.1b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
8.1b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.1b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x)))
7.7b
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
1.1b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
31.3b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x)))
Compiler

Compiled 650 to 245 computations (62.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
9.9b
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
9.9b
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
9.9b
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))

rewrite45.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
11×pow1_binary64
10×add-sqr-sqrt_binary64
pow1/3_binary64
*-un-lft-identity_binary64
associate-*l/_binary64
Counts
4 → 64
Calls

4 calls:

4.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
4.0ms
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
3.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
3.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
Compiler

Compiled 1755 to 194 computations (88.9% saved)

series203.0ms (7.5%)

Error
0.0b
Counts
4 → 30
Calls

4 calls:

61.0ms
(*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
42.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
39.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
38.0ms
(cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))
Compiler

Compiled 2531 to 1379 computations (45.5% saved)

simplify105.0ms (3.9%)

Algorithm
egg-herbie
Rules
570×times-frac_binary64
464×associate-*l*_binary64
400×associate-*r*_binary64
234×exp-sum_binary64
223×log-prod_binary64
Counts
94 → 78
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01361839
13301699
28431457
329501345
448541345
550221345

prune34.0ms (1.3%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New77178
Fresh044
Picked011
Done022
Total77885
Error
0.0b
Counts
85 → 8
Alt Table
StatusErrorProgram
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
31.1b
(*.f64 (sqrt.f64 x) (*.f64 (/.f64 (sin.f64 y) y) (sqrt.f64 x)))
8.1b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
1.1b
(*.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x)))
7.7b
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
1.1b
(*.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x))) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
28.6b
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (sin.f64 y) y))) 6)) (cbrt.f64 (*.f64 (/.f64 (sin.f64 y) y) x)))
31.3b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 x)) (sqrt.f64 x)) (*.f64 (/.f64 (sin.f64 y) y) (cbrt.f64 x)))
Compiler

Compiled 1644 to 404 computations (75.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (sin.f64 y) x)
7.7b
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))

rewrite43.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0b
Rules
26×add-exp-log_binary64
16×associate-*r*_binary64
16×add-cbrt-cube_binary64
13×add-sqr-sqrt_binary64
13×prod-exp_binary64
Counts
2 → 56
Calls

2 calls:

11.0ms
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
3.0ms
(*.f64 (sin.f64 y) x)
Compiler

Compiled 757 to 342 computations (54.8% saved)

series33.0ms (1.2%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

15.0ms
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
11.0ms
(*.f64 (sin.f64 y) x)
Compiler

Compiled 468 to 317 computations (32.3% saved)

simplify94.0ms (3.5%)

Algorithm
egg-herbie
Rules
646×associate-/l/_binary64
473×associate-/r/_binary64
259×*-commutative_binary64
254×sub-neg_binary64
247×cancel-sign-sub-inv_binary64
Counts
74 → 63
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0119930
1293791
2895779
32186779
44441779
54830767
65099767

prune24.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New60363
Fresh314
Picked011
Done213
Total65671
Error
0b
Counts
71 → 6
Alt Table
StatusErrorProgram
7.7b
(*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y))
0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
8.1b
(*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y)))
35.6b
(*.f64 (*.f64 x (/.f64 (sin.f64 y) (sqrt.f64 y))) (sqrt.f64 (/.f64 1 y)))
10.9b
(*.f64 (sin.f64 y) (/.f64 x y))
7.6b
(pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 1)
Compiler

Compiled 526 to 248 computations (52.9% saved)

regimes289.0ms (10.8%)

Accuracy

Total 0.1b remaining (86.9%)

Threshold costs 0.1b (86.9%)

Compiler

Compiled 4416 to 2370 computations (46.3% saved)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
179
279

end0.0ms (0%)

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample1.2s (44.1%)

Algorithm
intervals
Results
374.0ms1253×body1024valid
305.0ms5440×body128valid
131.0ms813×body512valid
56.0ms494×body256valid
Compiler

Compiled 84 to 55 computations (34.5% saved)

Profiling

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