Details

Time bar (total: 4.3s)

analyze731.0ms (17.1%)

Algorithm
1×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
9.4%90.4%0.2%8
20.3%79.5%0.2%9
33.5%66.3%0.2%10
35.5%64.3%0.2%11
43.3%56.5%0.2%12
51.5%48.2%0.3%13
60.3%39.1%0.5%14
Compiler

Compiled 14 to 9 computations (35.7% saved)

sample981.0ms (23%)

Results
915.0ms8256×body128valid
49.0ms442×body128invalid
Compiler

Compiled 28 to 18 computations (35.7% saved)

preprocess36.0ms (0.8%)

Algorithm
2×egg-herbie
Rules
672×unsub-neg_binary64
506×fma-neg_binary64
322×distribute-rgt-in_binary64
248×associate-+l+_binary64
211×associate-+r+_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02891
16091
215591
344091
4144991
5280691
044
144
Stop Event
1×unsound
1×node limit
Symmetry

(sort y t)

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify53.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
930×fma-neg_binary64
752×fma-def_binary64
246×distribute-rgt-in_binary64
200×unsub-neg_binary64
135×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11513
23513
39413
429913
590513
6177713
7311513
8387813
9390013
10390013
11406113
12406113
Stop Event
1×saturated
Counts
1 → 2

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
0.1b
Counts
3 → 2
Alt Table
StatusErrorProgram
▶1.1b
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
7.5b
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
Compiler

Compiled 74 to 44 computations (40.5% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 x (-.f64 z y))
✓1.0b
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))

series114.0ms (2.7%)

Counts
2 → 72
Calls

21 calls:

19.0ms
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
x
-inf
18.0ms
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
x
inf
11.0ms
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
t
-inf
9.0ms
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
y
inf
7.0ms
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
t
inf

rewrite60.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
754×prod-diff_binary64
210×log1p-udef_binary64
114×add-sqr-sqrt_binary64
109×log1p-expm1-u_binary64
109×expm1-log1p-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0920
121220
2337820
Stop Event
1×node limit
Counts
2 → 77

simplify64.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
676×times-frac_binary64
513×associate-/l*_binary64
415×associate-/r*_binary64
245×associate-*r*_binary64
201×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02974390
111254194
Stop Event
1×node limit
Counts
149 → 143

prune120.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1394143
Fresh011
Picked011
Done000
Total1396145
Error
0.0b
Counts
145 → 6
Alt Table
StatusErrorProgram
1.7b
(pow.f64 (*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x)) -1)
7.5b
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
1.9b
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (/.f64 (/.f64 1 (-.f64 z y)) (cbrt.f64 (-.f64 z t))))
2.0b
(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))
✓1.1b
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
▶1.6b
(/.f64 (pow.f64 (/.f64 (-.f64 z y) x) -1) (-.f64 z t))
Compiler

Compiled 4813 to 2124 computations (55.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (-.f64 z y) x)
✓1.0b
(/.f64 (pow.f64 (/.f64 (-.f64 z y) x) -1) (-.f64 z t))
✓1.2b
(pow.f64 (/.f64 (-.f64 z y) x) -1)

series114.0ms (2.7%)

Counts
3 → 112
Calls

30 calls:

17.0ms
(/.f64 (pow.f64 (/.f64 (-.f64 z y) x) -1) (-.f64 z t))
x
-inf
17.0ms
(/.f64 (pow.f64 (/.f64 (-.f64 z y) x) -1) (-.f64 z t))
x
inf
8.0ms
(/.f64 (pow.f64 (/.f64 (-.f64 z y) x) -1) (-.f64 z t))
y
-inf
8.0ms
(/.f64 (pow.f64 (/.f64 (-.f64 z y) x) -1) (-.f64 z t))
t
inf
7.0ms
(/.f64 (pow.f64 (/.f64 (-.f64 z y) x) -1) (-.f64 z t))
t
-inf

rewrite112.0ms (2.6%)

Algorithm
1×batch-egg-rewrite
Rules
930×prod-diff_binary64
259×egg-rr
134×add-sqr-sqrt_binary64
128×log1p-expm1-u_binary64
128×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01133
125527
2384127
Stop Event
1×node limit
Counts
3 → 259

simplify78.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
676×times-frac_binary64
516×associate-/l*_binary64
415×associate-/r*_binary64
246×associate-*r*_binary64
202×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03074728
111494532
Stop Event
1×node limit
Counts
371 → 333

prune284.0ms (6.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New3321333
Fresh044
Picked011
Done011
Total3327339
Error
0b
Counts
339 → 7
Alt Table
StatusErrorProgram
▶1.7b
(pow.f64 (*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x)) -1)
7.5b
(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
1.9b
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (/.f64 (/.f64 1 (-.f64 z y)) (cbrt.f64 (-.f64 z t))))
2.0b
(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))
12.2b
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (-.f64 z y) x) -2)) (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (cbrt.f64 (/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))))
✓1.6b
(/.f64 (pow.f64 (/.f64 (-.f64 z y) x) -1) (-.f64 z t))
✓1.1b
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
Compiler

Compiled 12529 to 4879 computations (61.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 z y) x)
✓0.2b
(pow.f64 (*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x)) -1)
✓1.6b
(*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x))

series122.0ms (2.9%)

Counts
2 → 96
Calls

24 calls:

19.0ms
(pow.f64 (*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x)) -1)
x
-inf
17.0ms
(pow.f64 (*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x)) -1)
x
inf
8.0ms
(pow.f64 (*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x)) -1)
t
-inf
8.0ms
(pow.f64 (*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x)) -1)
y
-inf
7.0ms
(pow.f64 (*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x)) -1)
y
inf

rewrite81.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
900×prod-diff_binary64
133×add-sqr-sqrt_binary64
127×log1p-expm1-u_binary64
127×expm1-log1p-u_binary64
126×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01129
125426
2382026
Stop Event
1×node limit
Counts
2 → 68

simplify72.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
666×times-frac_binary64
514×associate-/l*_binary64
410×associate-/r*_binary64
250×associate-*r*_binary64
202×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02975008
111304632
Stop Event
1×node limit
Counts
164 → 144

prune278.0ms (6.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3271328
Fresh224
Picked011
Done022
Total3296335
Error
0b
Counts
335 → 6
Alt Table
StatusErrorProgram
1.9b
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (/.f64 (/.f64 1 (-.f64 z y)) (cbrt.f64 (-.f64 z t))))
2.0b
(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))
▶1.6b
(/.f64 (/.f64 1 (-.f64 z t)) (/.f64 (-.f64 z y) x))
✓1.1b
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
✓1.7b
(pow.f64 (*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x)) -1)
✓1.6b
(/.f64 (pow.f64 (/.f64 (-.f64 z y) x) -1) (-.f64 z t))
Compiler

Compiled 12332 to 4802 computations (61.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(/.f64 (-.f64 z y) x)
✓0.0b
(/.f64 1 (-.f64 z t))
✓1.6b
(/.f64 (/.f64 1 (-.f64 z t)) (/.f64 (-.f64 z y) x))

series100.0ms (2.3%)

Counts
2 → 72
Calls

18 calls:

19.0ms
(/.f64 (/.f64 1 (-.f64 z t)) (/.f64 (-.f64 z y) x))
x
-inf
19.0ms
(/.f64 (/.f64 1 (-.f64 z t)) (/.f64 (-.f64 z y) x))
x
inf
9.0ms
(/.f64 (/.f64 1 (-.f64 z t)) (/.f64 (-.f64 z y) x))
y
inf
7.0ms
(/.f64 (/.f64 1 (-.f64 z t)) (/.f64 (-.f64 z y) x))
y
-inf
7.0ms
(/.f64 (/.f64 1 (-.f64 z t)) (/.f64 (-.f64 z y) x))
t
inf

rewrite67.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
936×prod-diff_binary64
134×add-sqr-sqrt_binary64
127×add-cbrt-cube_binary64
127×log1p-expm1-u_binary64
127×expm1-log1p-u_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01123
125620
2401420
Stop Event
1×node limit
Counts
2 → 68

simplify66.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
678×times-frac_binary64
500×associate-/l*_binary64
420×associate-/r*_binary64
246×associate-*r*_binary64
202×associate-*l*_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02994276
111224062
Stop Event
1×node limit
Counts
140 → 134

prune254.0ms (6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New3180318
Fresh022
Picked011
Done033
Total3186324
Error
0b
Counts
324 → 6
Alt Table
StatusErrorProgram
1.9b
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 z t)) 2)) (/.f64 (/.f64 1 (-.f64 z y)) (cbrt.f64 (-.f64 z t))))
2.0b
(/.f64 (/.f64 x (-.f64 z t)) (-.f64 z y))
✓1.6b
(/.f64 (/.f64 1 (-.f64 z t)) (/.f64 (-.f64 z y) x))
✓1.1b
(/.f64 (/.f64 x (-.f64 z y)) (-.f64 z t))
✓1.7b
(pow.f64 (*.f64 (-.f64 z t) (/.f64 (-.f64 z y) x)) -1)
✓1.6b
(/.f64 (pow.f64 (/.f64 (-.f64 z y) x) -1) (-.f64 z t))
Compiler

Compiled 12179 to 4808 computations (60.5% saved)

regimes356.0ms (8.3%)

Accuracy

Total 2.3b remaining (98.8%)

Threshold costs 0b (0%)

Counts
68 → 1
Compiler

Compiled 6094 to 4016 computations (34.1% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
4×+-commutative_binary64
4×sub-neg_binary64
2×*-commutative_binary64
2×neg-sub0_binary64
2×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11313
22113
32513
42713
Stop Event
1×saturated

end90.0ms (2.1%)

Stop Event
1×fuel
Compiler

Compiled 146 to 92 computations (37% saved)

Profiling

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