Details

Time bar (total: 7.0s)

analyze1.3s (18.2%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
3.1%71.7%25.1%9
4.7%69.8%25.5%10
7%66.9%26.1%11
10.9%61.5%27.6%12
11.1%47%41.9%13
12.8%44.4%42.8%14
Compiler

Compiled 24 to 20 computations (16.7% saved)

sample136.0ms (1.9%)

Algorithm
intervals
Symmetry

(sort y z)

Results
30.0ms335×body128nan
24.0ms256×body128valid
Compiler

Compiled 51 to 43 computations (15.7% saved)

simplify93.0ms (1.3%)

Algorithm
egg-herbie
Rules
2067×associate-/l*_binary64
1151×associate-/l/_binary64
961×associate-/r/_binary64
904×*-commutative_binary64
879×associate-*l*_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02026
14023
212120
344620
4175020
5300520
6300220
7300220
8375320
9407420
10421520
11422520
12422920
13423020
14539820

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
1.2b
Counts
3 → 2
Alt Table
StatusErrorProgram
1.3b
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
1.9b
(*.f64 1/3 (acos.f64 (*.f64 x (/.f64 (/.f64 (sqrt.f64 t) z) (*.f64 y 18)))))
Compiler

Compiled 116 to 91 computations (21.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(/.f64 x (*.f64 y 27))
1.0b
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
3.7b
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
4.5b
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))

series153.0ms (2.2%)

Counts
4 → 144
Calls

4 calls:

85.0ms
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
41.0ms
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
20.0ms
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))
7.0ms
(/.f64 x (*.f64 y 27))

rewrite40.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
92×add-exp-log_binary64
88×add-cbrt-cube_binary64
38×prod-exp_binary64
36×cbrt-unprod_binary64
28×add-sqr-sqrt_binary64
Counts
4 → 135
Calls

4 calls:

10.0ms
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
8.0ms
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))
5.0ms
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
4.0ms
(/.f64 x (*.f64 y 27))

simplify184.0ms (2.6%)

Algorithm
egg-herbie
Rules
764×associate-/r/_binary64
284×times-frac_binary64
263×sub-neg_binary64
191×associate-*l*_binary64
178×log-prod_binary64
Counts
279 → 197
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02285825
15354598
223974595
339244595
448154595
549824595

prune285.0ms (4.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1952197
Fresh101
Picked101
Done000
Total1972199
Error
0.0b
Counts
199 → 2
Alt Table
StatusErrorProgram
1.0b
(*.f64 1/3 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))))
0.3b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (*.f64 (sqrt.f64 t) (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)))) (cbrt.f64 3)))
Compiler

Compiled 5487 to 3971 computations (27.6% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
0.4b
(/.f64 x (*.f64 y 27))
3.7b
(*.f64 (sqrt.f64 t) (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)))
4.6b
(/.f64 (/.f64 x (*.f64 y 27)) z)

series82.0ms (1.2%)

Counts
3 → 108
Calls

3 calls:

44.0ms
(*.f64 (sqrt.f64 t) (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)))
19.0ms
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
19.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)

rewrite34.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
64×times-frac_binary64
46×add-cbrt-cube_binary64
46×add-exp-log_binary64
41×add-sqr-sqrt_binary64
36×*-un-lft-identity_binary64
Counts
3 → 130
Calls

3 calls:

10.0ms
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
9.0ms
(*.f64 (sqrt.f64 t) (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)))
5.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)

simplify139.0ms (2%)

Algorithm
egg-herbie
Rules
883×times-frac_binary64
749×associate-/l*_binary64
700×associate-/r*_binary64
262×associate-/r/_binary64
182×log-div_binary64
Counts
238 → 201
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02153803
14983284
216683282
346633282
449963282
549433282

prune580.0ms (8.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New2291230
Fresh011
Picked101
Done000
Total2302232
Error
0b
Counts
232 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))) (cbrt.f64 3)))
1.0b
(*.f64 1/3 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))))
Compiler

Compiled 7282 to 5234 computations (28.1% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))) (cbrt.f64 3))
0.2b
(*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))
3.7b
(*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))
4.8b
(/.f64 x (*.f64 y z))

series243.0ms (3.5%)

Counts
4 → 0
Calls

4 calls:

97.0ms
(/.f64 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))) (cbrt.f64 3))
83.0ms
(*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))
45.0ms
(*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))
18.0ms
(/.f64 x (*.f64 y z))

rewrite28.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
34×add-exp-log_binary64
33×add-cbrt-cube_binary64
30×add-sqr-sqrt_binary64
26×*-un-lft-identity_binary64
26×add-cube-cbrt_binary64
Counts
4 → 123
Calls

4 calls:

7.0ms
(*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))
7.0ms
(*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))
3.0ms
(/.f64 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))) (cbrt.f64 3))
3.0ms
(/.f64 x (*.f64 y z))

simplify160.0ms (2.3%)

Algorithm
egg-herbie
Rules
964×times-frac_binary64
493×associate-/l*_binary64
456×associate-/r*_binary64
315×*-commutative_binary64
192×fma-def_binary64
Counts
123 → 168
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01892927
13752612
211542612
338392608
447892608
549362608
649492608

prune140.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1680168
Fresh011
Picked011
Done000
Total1682170
Error
0b
Counts
170 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))) (cbrt.f64 3)))
1.0b
(*.f64 1/3 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))))
Compiler

Compiled 5360 to 3317 computations (38.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))
1.0b
(*.f64 1/3 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))))
3.7b
(*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t))
4.8b
(/.f64 x (*.f64 y z))

series19.0ms (0.3%)

Counts
1 → 0
Calls

1 calls:

19.0ms
(*.f64 1/3 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))))

rewrite4.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
associate-*r*_binary64
associate-*l*_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
Counts
1 → 20
Calls

1 calls:

3.0ms
(*.f64 1/3 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))))

simplify85.0ms (1.2%)

Algorithm
egg-herbie
Rules
632×associate-*l*_binary64
551×unswap-sqr_binary64
231×sqr-pow_binary64
224×associate-*r/_binary64
220×associate-*l/_binary64
Counts
20 → 23
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
045542
179466
2153465
3267465
4411465
5596465
6810465
71434465
83195465
93845465
104923465
114854465

prune54.0ms (0.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1180118
Fresh000
Picked011
Done011
Total1182120
Error
0b
Counts
120 → 2
Alt Table
StatusErrorProgram
0.0b
(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))) (cbrt.f64 3)))
1.0b
(*.f64 1/3 (acos.f64 (*.f64 1/18 (*.f64 (/.f64 x (*.f64 y z)) (sqrt.f64 t)))))
Compiler

Compiled 2393 to 1059 computations (55.7% saved)

regimes575.0ms (8.2%)

Accuracy

Total 0.0b remaining (4%)

Threshold costs 0.0b (4%)

Counts
25 → 1
Compiler

Compiled 11579 to 9482 computations (18.1% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01935
12535
22435

end8.0ms (0.1%)

Remove

(sort y z)

Compiler

Compiled 78 to 66 computations (15.4% saved)

sample2.6s (37.6%)

Algorithm
intervals
Results
976.0ms10348×body128nan
847.0ms8000×body128valid
Compiler

Compiled 97 to 81 computations (16.5% saved)

Profiling

Loading profile data...