Details

Time bar (total: 6.4s)

analyze1.2s (18.9%)

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)

sample3.1s (48.5%)

Symmetry

(sort y z)

Results
1.6s10716×body128invalid
1.4s8256×body128valid
Compiler

Compiled 71 to 59 computations (16.9% saved)

simplify92.0ms (1.4%)

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

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New112
Fresh011
Picked000
Done000
Total123
Error
1.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
1.0b
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
Compiler

Compiled 82 to 65 computations (20.7% saved)

localize12.0ms (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))))
2.4b
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
5.4b
(/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2))

series90.0ms (1.4%)

Counts
4 → 144
Calls

4 calls:

44.0ms
(*.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))
19.0ms
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
7.0ms
(/.f64 x (*.f64 y 27))

rewrite38.0ms (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:

11.0ms
(*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))
6.0ms
(/.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))))
3.0ms
(/.f64 x (*.f64 y 27))

simplify164.0ms (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

prune164.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1961197
Fresh000
Picked011
Done000
Total1962198
Error
0b
Counts
198 → 2
Alt Table
StatusErrorProgram
0.0b
(*.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)))
1.0b
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
Compiler

Compiled 5476 to 3964 computations (27.6% saved)

localize15.0ms (0.2%)

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))
2.4b
(*.f64 (sqrt.f64 t) (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)))
5.4b
(/.f64 (/.f64 x (*.f64 y 27)) z)

series89.0ms (1.4%)

Counts
3 → 108
Calls

3 calls:

49.0ms
(*.f64 (sqrt.f64 t) (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)))
20.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)
20.0ms
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))

rewrite33.0ms (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 (sqrt.f64 t) (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)))
9.0ms
(*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z))
5.0ms
(/.f64 (/.f64 x (*.f64 y 27)) z)

simplify135.0ms (2.1%)

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

prune193.0ms (3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2300230
Fresh000
Picked011
Done011
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 (sqrt.f64 t) (*.f64 3/2 (/.f64 (/.f64 x (*.f64 y 27)) z)))) (cbrt.f64 3)))
1.0b
(*.f64 (/.f64 1 3) (acos.f64 (*.f64 (/.f64 (*.f64 3 (/.f64 x (*.f64 y 27))) (*.f64 z 2)) (sqrt.f64 t))))
Compiler

Compiled 7247 to 5207 computations (28.1% saved)

regimes947.0ms (14.9%)

Accuracy

Total 0.0b remaining (5.5%)

Threshold costs 0.0b (5.5%)

Counts
40 → 1
Compiler

Compiled 14436 to 11954 computations (17.2% saved)

simplify2.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01935
12435
22335

end102.0ms (1.6%)

Remove

(sort y z)

Compiler

Compiled 155 to 131 computations (15.5% saved)

Profiling

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