Details

Time bar (total: 6.0s)

analyze583.0ms (9.7%)

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)

sample45.0ms (0.7%)

Algorithm
intervals
Results
13.0ms41×body1024valid
13.0ms186×body128valid
3.0ms15×body512valid
2.0ms14×body256valid
1.0ms14×body128invalid
0.0msbody256invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify10.0ms (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 → 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
3.2b
Counts
1 → 1
Alt Table
StatusErrorProgram
3.2b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize9.0ms (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)
3.1b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)

rewrite70.0ms (1.2%)

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)
3.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 1208 to 315 computations (73.9% saved)

series68.0ms (1.1%)

Error
0.1b
Counts
3 → 27
Calls

3 calls:

34.0ms
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
18.0ms
(*.f64 x (/.f64 (sin.f64 y) y))
7.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 766 to 510 computations (33.4% saved)

simplify120.0ms (2%)

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

prune29.0ms (0.5%)

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
9.2b
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y)) z)
7.7b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
35.7b
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y)) z)
3.2b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
12.0b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z)))) (cbrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
11.3b
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
30.4b
(*.f64 (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))) (sqrt.f64 (/.f64 (*.f64 (sin.f64 y) x) (*.f64 y z))))
3.7b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
Compiler

Compiled 751 to 311 computations (58.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
1.1b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
1.8b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite99.0ms (1.6%)

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:

11.0ms
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
9.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (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)

series184.0ms (3%)

Error
0.0b
Counts
4 → 30
Calls

4 calls:

98.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
46.0ms
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
15.0ms
(cbrt.f64 z)
14.0ms
(cbrt.f64 z)
Compiler

Compiled 1363 to 952 computations (30.2% saved)

simplify138.0ms (2.3%)

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

prune49.0ms (0.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1124116
Fresh246
Picked011
Done011
Total11410124
Error
0.0b
Counts
124 → 10
Alt Table
StatusErrorProgram
9.2b
(/.f64 (*.f64 (*.f64 (sin.f64 y) x) (/.f64 1 y)) z)
7.7b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
35.7b
(/.f64 (*.f64 (*.f64 x (sqrt.f64 (sin.f64 y))) (/.f64 (sqrt.f64 (sin.f64 y)) y)) z)
3.2b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
2.6b
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
28.6b
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 z z))) (/.f64 (*.f64 x (sin.f64 y)) y)) (cbrt.f64 z))
11.3b
(/.f64 (*.f64 x (sin.f64 y)) (*.f64 y z))
41.7b
(/.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (sin.f64 y)) y) 3) (*.f64 z z))) (cbrt.f64 z))
2.9b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
3.7b
(/.f64 (*.f64 (/.f64 (sin.f64 y) y) (/.f64 x (*.f64 (cbrt.f64 z) (cbrt.f64 z)))) (cbrt.f64 z))
Compiler

Compiled 1570 to 672 computations (57.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 (sin.f64 y) y)
2.4b
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))

rewrite208.0ms (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:

9.0ms
(/.f64 (/.f64 (sin.f64 y) y) (/.f64 z x))
3.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 5191 to 1107 computations (78.7% saved)

series50.0ms (0.8%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

35.0ms
(/.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)

simplify280.0ms (4.6%)

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

prune100.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1794183
Fresh527
Picked101
Done112
Total1867193
Error
0b
Counts
193 → 7
Alt Table
StatusErrorProgram
6.5b
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
9.5b
(*.f64 (*.f64 (sin.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 1 y) (/.f64 z (cbrt.f64 x))))
36.0b
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) z) (*.f64 x (/.f64 (sqrt.f64 (sin.f64 y)) y)))
2.9b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
7.7b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
3.2b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
12.2b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
Compiler

Compiled 2862 to 619 computations (78.4% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite62.0ms (1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
36×add-sqr-sqrt_binary64
31×times-frac_binary64
24×*-un-lft-identity_binary64
24×add-cube-cbrt_binary64
16×add-cbrt-cube_binary64
Counts
2 → 77
Calls

2 calls:

8.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
3.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 1187 to 269 computations (77.3% saved)

series51.0ms (0.8%)

Error
0b
Counts
2 → 18
Calls

2 calls:

37.0ms
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
7.0ms
(/.f64 (sin.f64 y) y)
Compiler

Compiled 519 to 342 computations (34.1% saved)

simplify118.0ms (2%)

Algorithm
egg-herbie
Rules
588×associate-/l*_binary64
526×associate-*l*_binary64
422×associate-*r*_binary64
344×times-frac_binary64
294×associate-/l/_binary64
Counts
95 → 62
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01591540
14281386
212691386
344071386
445951386
549751386
649691386

prune38.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh055
Picked011
Done011
Total62769
Error
0b
Counts
69 → 7
Alt Table
StatusErrorProgram
6.5b
(/.f64 (sin.f64 y) (*.f64 y (/.f64 z x)))
9.5b
(*.f64 (*.f64 (sin.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (/.f64 (/.f64 1 y) (/.f64 z (cbrt.f64 x))))
36.0b
(*.f64 (/.f64 (sqrt.f64 (sin.f64 y)) z) (*.f64 x (/.f64 (sqrt.f64 (sin.f64 y)) y)))
2.9b
(*.f64 (/.f64 (sin.f64 y) y) (/.f64 x z))
7.7b
(*.f64 x (/.f64 (sin.f64 y) (*.f64 y z)))
3.2b
(/.f64 (*.f64 x (/.f64 (sin.f64 y) y)) z)
12.2b
(*.f64 (/.f64 (sin.f64 y) z) (/.f64 x y))
Compiler

Compiled 766 to 246 computations (67.9% saved)

regimes2.0s (33%)

Accuracy

Total 0.4b remaining (95.5%)

Threshold costs 0.4b (95.5%)

Compiler

Compiled 25592 to 14430 computations (43.6% saved)

bsearch40.0ms (0.7%)

Steps
ItersRangePoint
5
2.2049484473046954e-78
1.2751213311587251e-71
9.672745966011507e-78
3
-9.576048074441098e-57
-1.4771260337012354e-60
-3.2931917682895355e-57
Compiler

Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
02251
12651
22551

end1.0ms (0%)

Compiler

Compiled 37 to 20 computations (45.9% saved)

sample1.7s (27.4%)

Algorithm
intervals
Results
467.0ms1395×body1024valid
424.0ms5385×body128valid
152.0ms801×body512valid
53.0ms418×body256valid
34.0ms463×body128invalid
12.0ms32×body1024invalid
10.0ms41×body512invalid
6.0ms47×body256invalid
1.0msbody2048valid
Compiler

Compiled 143 to 87 computations (39.2% saved)

Profiling

Loading profile data...