Details

Time bar (total: 4.5s)

analyze536.0ms (11.9%)

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)

sample47.0ms (1%)

Algorithm
intervals
Results
18.0ms51×body1024valid
11.0ms169×body128valid
5.0ms25×body512valid
1.0ms11×body256valid
1.0ms19×body128invalid
0.0msbody512invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify12.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11312
22412
34812
46312
56812
66812

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
2.9b
Counts
1 → 1
Alt Table
StatusErrorProgram
2.9b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 x (/.f64 (sin.f64 y) y))
0.1b
(/.f64 (sin.f64 y) y)
2.9b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite68.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
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 → 83
Calls

3 calls:

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

Compiled 1208 to 315 computations (73.9% saved)

series59.0ms (1.3%)

Error
0.1b
Counts
3 → 27
Calls

3 calls:

28.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
17.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
6.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 766 to 510 computations (33.4% saved)

simplify125.0ms (2.8%)

Algorithm
egg-herbie
Rules
563×associate-/l/_binary64
381×associate-/r*_binary64
381×associate-/r/_binary64
314×cancel-sign-sub-inv_binary64
299×sub-neg_binary64
Counts
110 → 55
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01641632
13971446
214401440
334991434
445881434
549881434
649561434

prune32.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh000
Picked011
Done000
Total48856
Error
0.0b
Counts
56 → 8
Alt Table
StatusErrorProgram
3.0b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
10.9b
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
8.7b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.9b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
7.5b
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y)) z)
7.5b
(/.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y))) z)
31.5b
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y)) z)
38.0b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (sqrt.f64 z))) (sqrt.f64 z))
Compiler

Compiled 709 to 311 computations (56.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.7b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
1.6b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite81.0ms (1.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
54×add-exp-log_binary64
39×add-cbrt-cube_binary64
29×add-sqr-sqrt_binary64
22×times-frac_binary64
21×cbrt-undiv_binary64
Counts
4 → 110
Calls

4 calls:

14.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
9.0ms
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
Compiler

Compiled 2524 to 439 computations (82.6% saved)

series153.0ms (3.4%)

Error
0.0b
Counts
4 → 30
Calls

4 calls:

78.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
40.0ms
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
13.0ms
(cbrt.f64 z)
12.0ms
(cbrt.f64 z)
Compiler

Compiled 1363 to 952 computations (30.2% saved)

simplify135.0ms (3%)

Algorithm
egg-herbie
Rules
655×associate-/r/_binary64
214×log-prod_binary64
189×associate-/l*_binary64
188×log-div_binary64
181×associate-*l/_binary64
Counts
140 → 116
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02183433
15652189
223192157
346372157
449782157
549402157

prune40.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1142116
Fresh156
Picked011
Done101
Total1168124
Error
0b
Counts
124 → 8
Alt Table
StatusErrorProgram
3.0b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
10.9b
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
8.7b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.9b
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
3.2b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
7.5b
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y)) z)
7.5b
(/.f64 (*.f64 (/.f64 x (*.f64 (cbrt.f64 y) (cbrt.f64 y))) (/.f64 (sin.f64 y) (cbrt.f64 y))) z)
31.5b
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y)) z)
Compiler

Compiled 1519 to 633 computations (58.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
2.8b
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))

rewrite151.0ms (3.4%)

Algorithm
rewrite-expression-head
Error
0b
Rules
430×times-frac_binary64
206×*-un-lft-identity_binary64
206×add-sqr-sqrt_binary64
206×add-cube-cbrt_binary64
30×div-inv_binary64
Counts
2 → 242
Calls

2 calls:

8.0ms
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
2.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 5191 to 1107 computations (78.7% saved)

series41.0ms (0.9%)

Error
0b
Counts
2 → 18
Calls

2 calls:

27.0ms
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
8.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 519 to 343 computations (33.9% saved)

simplify271.0ms (6%)

Algorithm
egg-herbie
Rules
619×associate-/l/_binary64
436×associate-*l/_binary64
398×associate-/r/_binary64
369×sub-neg_binary64
330×*-commutative_binary64
Counts
260 → 183
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04477303
112557059
238927044
340197044
448437044
551537044

prune126.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1812183
Fresh246
Picked011
Done011
Total1838191
Error
0b
Counts
191 → 8
Alt Table
StatusErrorProgram
7.5b
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y)) z)
3.0b
(*.f64 (/.f64 1 z) (*.f64 x (/.f64 (sin.f64 y) y)))
3.0b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
10.9b
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
8.7b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.9b
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
12.2b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
3.2b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
Compiler

Compiled 2860 to 623 computations (78.2% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite77.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
49×add-exp-log_binary64
31×add-sqr-sqrt_binary64
31×add-cbrt-cube_binary64
28×times-frac_binary64
26×*-un-lft-identity_binary64
Counts
3 → 104
Calls

3 calls:

7.0ms
(*.f64 (/.f64 1 z) (*.f64 x (/.f64 (sin.f64 y) y)))
5.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
3.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 1728 to 642 computations (62.8% saved)

series60.0ms (1.3%)

Error
0b
Counts
3 → 27
Calls

3 calls:

27.0ms
(*.f64 (/.f64 1 z) (*.f64 x (/.f64 (sin.f64 y) y)))
15.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 833 to 575 computations (31% saved)

simplify147.0ms (3.3%)

Algorithm
egg-herbie
Rules
569×associate-/l*_binary64
465×times-frac_binary64
345×*-commutative_binary64
312×cancel-sign-sub-inv_binary64
247×associate-/r*_binary64
Counts
131 → 81
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01821978
14261717
214611711
338381711
447361711
549561711
649931711
749701711

prune30.0ms (0.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh055
Picked011
Done022
Total81889
Error
0b
Counts
89 → 8
Alt Table
StatusErrorProgram
7.5b
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y)) z)
3.0b
(*.f64 (/.f64 1 z) (*.f64 x (/.f64 (sin.f64 y) y)))
3.0b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
10.9b
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
8.7b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
2.9b
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
12.2b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
3.2b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
Compiler

Compiled 833 to 352 computations (57.7% saved)

regimes673.0ms (15%)

Accuracy

Total 0.7b remaining (98.2%)

Threshold costs 0.7b (98.2%)

Compiler

Compiled 7210 to 4112 computations (43% saved)

bsearch2.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
*-commutative_binary64
if-if-or-not_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01854
12154
22154

end1.0ms (0%)

Compiler

Compiled 38 to 16 computations (57.9% saved)

sample1.6s (35.3%)

Algorithm
intervals
Results
455.0ms1376×body1024valid
455.0ms5361×body128valid
160.0ms821×body512valid
68.0ms439×body256valid
35.0ms519×body128invalid
8.0ms54×body256invalid
8.0ms41×body512invalid
6.0ms20×body1024invalid
2.0msbody2048valid
Compiler

Compiled 152 to 90 computations (40.8% saved)

Profiling

Loading profile data...