Details

Time bar (total: 3.8s)

analyze402.0ms (10.5%)

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
49.9%49.9%0.2%6
49.9%49.9%0.2%7
49.9%49.9%0.2%8
49.9%49.9%0.2%9
49.9%49.9%0.2%10
74.8%24.9%0.2%11
74.8%24.9%0.2%12
74.8%24.9%0.2%13
74.8%24.9%0.2%14
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample895.0ms (23.5%)

Infinites
28% of outputs are infinite.
Symmetry

(sort x y)

(sort z t)

Results
787.0ms8256×body128valid
Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify44.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
828×fma-def_binary64
389×fma-neg_binary64
130×cancel-sign-sub-inv_binary64
113×distribute-rgt-in_binary64
103×associate-/l*_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
12113
24213
37313
414413
522313
631913
749513
867813
983313
1088913
1197613
1298213
1398713
1491413

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶7.2b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
Compiler

Compiled 42 to 27 computations (35.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.4b
(-.f64 (*.f64 x y) (*.f64 z t))
✓5.9b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

series33.0ms (0.9%)

Counts
2 → 108
Calls

2 calls:

24.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
9.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

rewrite14.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
9×times-frac_binary64
4×add-cbrt-cube_binary64
Counts
2 → 48
Calls

2 calls:

9.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
3.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

simplify119.0ms (3.1%)

Algorithm
1×egg-herbie
Rules
644×distribute-rgt-in_binary64
301×fma-neg_binary64
270×associate-*l*_binary64
223×fma-def_binary64
213×associate-*r*_binary64
Counts
156 → 93
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0992115
12512035
27432029
323552029
445902029
549962029
649232029

prune78.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New86793
Fresh000
Picked101
Done000
Total87794
Error
5.8b
Counts
94 → 7
Alt Table
StatusErrorProgram
7.4b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
33.8b
(/.f64 (*.f64 y x) a)
▶6.4b
(/.f64 (fma.f64 x y (neg.f64 (*.f64 z t))) a)
8.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))) (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 a)))
7.9b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)))
7.2b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))
37.9b
(/.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (sqrt.f64 a)) (sqrt.f64 a))
Compiler

Compiled 1894 to 441 computations (76.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.5b
(fma.f64 x y (neg.f64 (*.f64 z t)))
✓5.9b
(/.f64 (fma.f64 x y (neg.f64 (*.f64 z t))) a)

series36.0ms (0.9%)

Counts
2 → 108
Calls

2 calls:

27.0ms
(/.f64 (fma.f64 x y (neg.f64 (*.f64 z t))) a)
8.0ms
(fma.f64 x y (neg.f64 (*.f64 z t)))

rewrite5.0ms (0.1%)

Algorithm
1×rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
9×times-frac_binary64
4×add-cbrt-cube_binary64
Counts
2 → 39
Calls

2 calls:

2.0ms
(/.f64 (fma.f64 x y (neg.f64 (*.f64 z t))) a)
0.0ms
(fma.f64 x y (neg.f64 (*.f64 z t)))

simplify116.0ms (3%)

Algorithm
1×egg-herbie
Rules
630×associate-/l*_binary64
488×distribute-rgt-in_binary64
453×distribute-lft-in_binary64
303×fma-def_binary64
276×associate-/l/_binary64
Counts
147 → 78
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0751949
11431872
23471872
311061872
446481872
549561872

prune366.0ms (9.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New78078
Fresh066
Picked011
Done000
Total78785
Error
5.8b
Counts
85 → 7
Alt Table
StatusErrorProgram
7.4b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
33.8b
(/.f64 (*.f64 y x) a)
✓6.4b
(/.f64 (fma.f64 x y (neg.f64 (*.f64 z t))) a)
8.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))) (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 a)))
7.9b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)))
▶7.2b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))
37.9b
(/.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (sqrt.f64 a)) (sqrt.f64 a))
Compiler

Compiled 1568 to 360 computations (77% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.4b
(-.f64 (*.f64 x y) (*.f64 z t))
✓6.0b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

series25.0ms (0.7%)

Counts
1 → 60
Calls

1 calls:

25.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite10.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64
13×associate-*r*_binary64
11×times-frac_binary64
10×*-un-lft-identity_binary64
10×add-exp-log_binary64
Counts
1 → 42
Calls

1 calls:

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

simplify85.0ms (2.2%)

Algorithm
1×egg-herbie
Rules
493×associate-*l*_binary64
488×fma-neg_binary64
416×associate-*r*_binary64
344×distribute-lft-neg-out_binary64
344×distribute-rgt-neg-out_binary64
Counts
102 → 73
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0921553
12431454
27771454
327121454
449761454
552171454

prune114.0ms (3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1050105
Fresh055
Picked011
Done011
Total1057112
Error
5.8b
Counts
112 → 7
Alt Table
StatusErrorProgram
▶7.4b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
33.8b
(/.f64 (*.f64 y x) a)
✓6.4b
(/.f64 (fma.f64 x y (neg.f64 (*.f64 z t))) a)
8.1b
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))) (*.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 a)))
7.9b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)))
✓7.2b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))
37.9b
(/.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (sqrt.f64 a)) (sqrt.f64 a))
Compiler

Compiled 2214 to 716 computations (67.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.3b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
1.4b
(-.f64 (*.f64 x y) (*.f64 z t))
✓6.4b
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))

series135.0ms (3.5%)

Counts
2 → 120
Calls

2 calls:

109.0ms
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))
26.0ms
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))

rewrite21.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
90×times-frac_binary64
54×*-un-lft-identity_binary64
54×add-sqr-sqrt_binary64
54×add-cube-cbrt_binary64
18×associate-/r*_binary64
Counts
2 → 117
Calls

2 calls:

6.0ms
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
4.0ms
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))

simplify147.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
770×fma-def_binary64
372×fma-neg_binary64
341×times-frac_binary64
322×associate-/l/_binary64
189×cancel-sign-sub-inv_binary64
Counts
237 → 205
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02035987
15585614
223745371
348495371
451075371

prune181.0ms (4.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2361237
Fresh134
Picked011
Done022
Total2377244
Error
5.8b
Counts
244 → 7
Alt Table
StatusErrorProgram
✓7.4b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
33.8b
(/.f64 (*.f64 y x) a)
7.9b
(*.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)) (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a))) (cbrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)))
✓7.2b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))
7.5b
(/.f64 1 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))))
✓6.4b
(/.f64 (fma.f64 x y (neg.f64 (*.f64 z t))) a)
37.9b
(/.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (sqrt.f64 a)) (sqrt.f64 a))
Compiler

Compiled 5556 to 1574 computations (71.7% saved)

regimes845.0ms (22.2%)

Accuracy

Total 0.3b remaining (5.7%)

Threshold costs 0.3b (5.7%)

Counts
82 → 1
Compiler

Compiled 20496 to 10971 computations (46.5% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11913
22713
33213
43413
53413

end101.0ms (2.7%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 213 to 128 computations (39.9% saved)

Profiling

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