Details

Time bar (total: 5.7s)

analyze816.0ms (14.4%)

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
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14
Compiler

Compiled 12 to 8 computations (33.3% saved)

sample1.1s (19.8%)

Symmetry

(sort z t)

Results
925.0ms8256×body128valid
36.0ms351×body128invalid
Compiler

Compiled 35 to 23 computations (34.3% saved)

simplify15.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
100×fma-def_binary64
56×fma-neg_binary64
28×cancel-sign-sub-inv_binary64
18×sub-neg_binary64
13×distribute-rgt-neg-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22410
34110
45510
58510
611910
714810
818410
920210
1021910
1122510
1220210

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
1.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶1.5b
(/.f64 x (-.f64 y (*.f64 z t)))
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓1.5b
(/.f64 x (-.f64 y (*.f64 z t)))

series36.0ms (0.6%)

Counts
1 → 48
Calls

1 calls:

35.0ms
(/.f64 x (-.f64 y (*.f64 z t)))

rewrite6.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
9×times-frac_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
3×associate-/r*_binary64
Counts
1 → 31
Calls

1 calls:

5.0ms
(/.f64 x (-.f64 y (*.f64 z t)))

simplify49.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
953×times-frac_binary64
683×associate-/l*_binary64
472×associate-/r*_binary64
302×fma-def_binary64
170×associate-/l/_binary64
Counts
79 → 72
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01141915
12891833
210611688
350981688

prune50.0ms (0.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New68472
Fresh000
Picked011
Done000
Total68573
Error
1.4b
Counts
73 → 5
Alt Table
StatusErrorProgram
✓1.5b
(/.f64 x (-.f64 y (*.f64 z t)))
29.1b
(cbrt.f64 (*.f64 (*.f64 (/.f64 x (-.f64 y (*.f64 z t))) (/.f64 x (-.f64 y (*.f64 z t)))) (/.f64 x (-.f64 y (*.f64 z t)))))
43.4b
(*.f64 (/.f64 x (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 z t) 3))) (+.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 z t) (*.f64 z t)) (*.f64 y (*.f64 z t)))))
▶1.8b
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
29.7b
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 y (*.f64 z t)))) (/.f64 x (sqrt.f64 (-.f64 y (*.f64 z t)))))
Compiler

Compiled 1433 to 446 computations (68.9% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
✓1.5b
(/.f64 (-.f64 y (*.f64 z t)) x)

series52.0ms (0.9%)

Counts
2 → 96
Calls

2 calls:

34.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
17.0ms
(/.f64 (-.f64 y (*.f64 z t)) x)

rewrite18.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
84×times-frac_binary64
52×*-un-lft-identity_binary64
52×add-sqr-sqrt_binary64
52×add-cube-cbrt_binary64
16×associate-/r*_binary64
Counts
2 → 110
Calls

2 calls:

5.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) x))
3.0ms
(/.f64 (-.f64 y (*.f64 z t)) x)

simplify117.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
794×associate-/l*_binary64
526×associate-/r*_binary64
409×fma-def_binary64
329×associate-/r/_binary64
251×associate-/l/_binary64
Counts
206 → 188
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01684158
14023845
214553696
349323696
450083696

prune168.0ms (3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1835188
Fresh213
Picked101
Done011
Total1867193
Error
1.4b
Counts
193 → 7
Alt Table
StatusErrorProgram
2.4b
(*.f64 (/.f64 1 (/.f64 1 (*.f64 (cbrt.f64 x) (cbrt.f64 x)))) (/.f64 1 (/.f64 (-.f64 y (*.f64 z t)) (cbrt.f64 x))))
29.1b
(cbrt.f64 (*.f64 (*.f64 (/.f64 x (-.f64 y (*.f64 z t))) (/.f64 x (-.f64 y (*.f64 z t)))) (/.f64 x (-.f64 y (*.f64 z t)))))
29.8b
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 y (*.f64 z t))) (/.f64 x (sqrt.f64 (-.f64 y (*.f64 z t))))))
✓1.5b
(/.f64 x (-.f64 y (*.f64 z t)))
43.7b
(/.f64 1 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 z t) 3)) (*.f64 x (+.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 z t) (*.f64 z t)) (*.f64 y (*.f64 z t)))))))
▶1.8b
(/.f64 1 (*.f64 (-.f64 y (*.f64 z t)) (/.f64 1 x)))
2.5b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))))
Compiler

Compiled 3880 to 1230 computations (68.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (*.f64 (-.f64 y (*.f64 z t)) (/.f64 1 x)))
✓1.6b
(*.f64 (-.f64 y (*.f64 z t)) (/.f64 1 x))

series55.0ms (1%)

Counts
2 → 96
Calls

2 calls:

37.0ms
(/.f64 1 (*.f64 (-.f64 y (*.f64 z t)) (/.f64 1 x)))
17.0ms
(*.f64 (-.f64 y (*.f64 z t)) (/.f64 1 x))

rewrite21.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
46×add-exp-log_binary64
19×add-sqr-sqrt_binary64
18×div-exp_binary64
16×add-cbrt-cube_binary64
16×prod-exp_binary64
Counts
2 → 88
Calls

2 calls:

8.0ms
(/.f64 1 (*.f64 (-.f64 y (*.f64 z t)) (/.f64 1 x)))
7.0ms
(*.f64 (-.f64 y (*.f64 z t)) (/.f64 1 x))

simplify97.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
677×associate-/r*_binary64
458×fma-def_binary64
254×distribute-rgt-in_binary64
226×distribute-lft-in_binary64
208×associate-/r/_binary64
Counts
184 → 151
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01663193
14152878
216602734
349492734
450872734

prune122.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1501151
Fresh145
Picked011
Done011
Total1517158
Error
1.4b
Counts
158 → 7
Alt Table
StatusErrorProgram
29.8b
(/.f64 1 (/.f64 (sqrt.f64 (-.f64 y (*.f64 z t))) (/.f64 x (sqrt.f64 (-.f64 y (*.f64 z t))))))
✓1.5b
(/.f64 x (-.f64 y (*.f64 z t)))
43.7b
(/.f64 1 (/.f64 (-.f64 (pow.f64 y 3) (pow.f64 (*.f64 z t) 3)) (*.f64 x (+.f64 (*.f64 y y) (+.f64 (*.f64 (*.f64 z t) (*.f64 z t)) (*.f64 y (*.f64 z t)))))))
✓1.8b
(/.f64 1 (*.f64 (-.f64 y (*.f64 z t)) (/.f64 1 x)))
29.1b
(cbrt.f64 (*.f64 (*.f64 (/.f64 x (-.f64 y (*.f64 z t))) (/.f64 x (-.f64 y (*.f64 z t)))) (/.f64 x (-.f64 y (*.f64 z t)))))
26.3b
(*.f64 (/.f64 (/.f64 1 (-.f64 y (*.f64 t z))) (fma.f64 t z y)) (*.f64 (+.f64 y (*.f64 z t)) x))
▶2.5b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))))
Compiler

Compiled 3005 to 1291 computations (57% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))))
✓0.5b
(*.f64 (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)))
1.5b
(/.f64 (-.f64 y (*.f64 z t)) x)
✓15.4b
(cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))

series955.0ms (16.8%)

Counts
3 → 144
Calls

3 calls:

518.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)))
374.0ms
(cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))
62.0ms
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))))

rewrite55.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
77×cbrt-prod_binary64
68×add-sqr-sqrt_binary64
54×times-frac_binary64
44×*-un-lft-identity_binary64
44×add-cube-cbrt_binary64
Counts
3 → 158
Calls

3 calls:

17.0ms
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))))
15.0ms
(*.f64 (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)))
2.0ms
(cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))

simplify224.0ms (3.9%)

Algorithm
1×egg-herbie
Rules
442×associate-/r*_binary64
422×times-frac_binary64
356×associate-/l*_binary64
221×*-commutative_binary64
198×fma-def_binary64
Counts
302 → 393
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067011578
1191311054
2493011004
3497411004

prune625.0ms (11%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New7942796
Fresh224
Picked011
Done022
Total7967803
Error
1.4b
Counts
803 → 7
Alt Table
StatusErrorProgram
26.3b
(*.f64 (/.f64 (/.f64 1 (-.f64 y (*.f64 t z))) (fma.f64 t z y)) (*.f64 (+.f64 y (*.f64 z t)) x))
1.8b
(/.f64 -1 (neg.f64 (/.f64 (-.f64 y (*.f64 t z)) x)))
✓1.5b
(/.f64 x (-.f64 y (*.f64 z t)))
✓1.8b
(/.f64 1 (*.f64 (-.f64 y (*.f64 z t)) (/.f64 1 x)))
29.1b
(cbrt.f64 (*.f64 (*.f64 (/.f64 x (-.f64 y (*.f64 z t))) (/.f64 x (-.f64 y (*.f64 z t)))) (/.f64 x (-.f64 y (*.f64 z t)))))
✓2.5b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))))
2.5b
(*.f64 (/.f64 1 (*.f64 (*.f64 (cbrt.f64 (-.f64 y (*.f64 z t))) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x))) (cbrt.f64 (/.f64 (-.f64 y (*.f64 z t)) x)))) (cbrt.f64 x))
Compiler

Compiled 36268 to 11603 computations (68% saved)

regimes939.0ms (16.6%)

Accuracy

Total 0.1b remaining (2.3%)

Threshold costs 0.1b (2.3%)

Counts
139 → 1
Compiler

Compiled 19960 to 12234 computations (38.7% saved)

simplify3.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11410
22410
33010
43410
53510
63510

end96.0ms (1.7%)

Remove

(sort z t)

Compiler

Compiled 201 to 107 computations (46.8% saved)

Profiling

Loading profile data...