Details

Time bar (total: 12.2s)

analyze2.9s (24.2%)

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
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14
Compiler

Compiled 15 to 10 computations (33.3% saved)

sample90.0ms (0.7%)

Algorithm
intervals
Results
23.0ms256×body128valid
8.0ms104×body128invalid
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify90.0ms (0.7%)

Algorithm
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%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
7.1b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
Compiler

Compiled 42 to 27 computations (35.7% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
6.7b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

series99.0ms (0.8%)

Counts
2 → 108
Calls

2 calls:

59.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
39.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

rewrite18.0ms (0.2%)

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

2 calls:

9.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
5.0ms
(-.f64 (*.f64 x y) (*.f64 z t))

simplify205.0ms (1.7%)

Algorithm
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

prune139.0ms (1.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New811293
Fresh000
Picked101
Done000
Total821294
Error
6.7b
Counts
94 → 12
Alt Table
StatusErrorProgram
30.3b
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 z t) (*.f64 z t))) (*.f64 a (fma.f64 t z (*.f64 y x))))
34.7b
(*.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)) (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)))
7.1b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 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)))
7.4b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
37.6b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y x) (*.f64 t z)) a) 3))
33.5b
(neg.f64 (/.f64 (*.f64 t z) a))
37.8b
(/.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (sqrt.f64 a)) (sqrt.f64 a))
36.2b
(/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 a (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))))
7.9b
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))))
31.2b
(/.f64 (*.f64 y x) a)
36.1b
(*.f64 (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 t z))) (/.f64 (sqrt.f64 (-.f64 (*.f64 y x) (*.f64 t z))) a))
Compiler

Compiled 2114 to 551 computations (73.9% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
6.7b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

series56.0ms (0.5%)

Counts
1 → 60
Calls

1 calls:

56.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite26.0ms (0.2%)

Algorithm
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:

19.0ms
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 a))

simplify141.0ms (1.2%)

Algorithm
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

prune160.0ms (1.3%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1014105
Fresh3811
Picked011
Done000
Total10413117
Error
6.7b
Counts
117 → 13
Alt Table
StatusErrorProgram
36.2b
(/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 a (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))))
33.5b
(*.f64 (neg.f64 (*.f64 t z)) (/.f64 1 a))
7.9b
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))))
31.3b
(*.f64 (*.f64 y x) (/.f64 1 a))
7.1b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 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)))
7.4b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
37.6b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y x) (*.f64 t z)) a) 3))
30.3b
(/.f64 (*.f64 (-.f64 (*.f64 y x) (*.f64 t z)) (fma.f64 t z (*.f64 y x))) (*.f64 a (fma.f64 t z (*.f64 y x))))
33.5b
(neg.f64 (/.f64 (*.f64 t z) a))
37.8b
(/.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (sqrt.f64 a)) (sqrt.f64 a))
32.6b
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 y x) (*.f64 t z)) 3)) (/.f64 1 a))
31.2b
(/.f64 (*.f64 y x) a)
Compiler

Compiled 2434 to 853 computations (65% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
0.5b
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
6.6b
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))

series186.0ms (1.5%)

Counts
2 → 120
Calls

2 calls:

125.0ms
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))
61.0ms
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))

rewrite44.0ms (0.4%)

Algorithm
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:

12.0ms
(/.f64 1 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))))
8.0ms
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))

simplify289.0ms (2.4%)

Algorithm
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

prune390.0ms (3.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New2325237
Fresh2911
Picked101
Done011
Total23515250
Error
6.7b
Counts
250 → 15
Alt Table
StatusErrorProgram
36.2b
(/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 a (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))))
33.5b
(*.f64 (neg.f64 (*.f64 t z)) (/.f64 1 a))
7.9b
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))))
7.4b
(/.f64 1 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))))
7.1b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 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)))
37.6b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y x) (*.f64 t z)) a) 3))
30.3b
(/.f64 (*.f64 (-.f64 (*.f64 y x) (*.f64 t z)) (fma.f64 t z (*.f64 y x))) (*.f64 a (fma.f64 t z (*.f64 y x))))
31.2b
(/.f64 (*.f64 y x) a)
32.0b
(/.f64 1 (*.f64 (+.f64 (/.f64 (*.f64 t z) (*.f64 y x)) 1) (/.f64 a (*.f64 y x))))
29.3b
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 y x) (*.f64 t z)) (fma.f64 y x (*.f64 t z))) a) (/.f64 1 (fma.f64 y x (*.f64 t z))))
31.4b
(/.f64 1 (/.f64 a (*.f64 y x)))
34.3b
(/.f64 1 (*.f64 (/.f64 a (*.f64 t z)) (-.f64 -1 (/.f64 (*.f64 y x) (*.f64 t z)))))
33.5b
(neg.f64 (/.f64 (*.f64 t z) a))
37.8b
(/.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (sqrt.f64 a)) (sqrt.f64 a))
Compiler

Compiled 6033 to 1829 computations (69.7% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(-.f64 (*.f64 x y) (*.f64 z t))
0.5b
(/.f64 1 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))))
0.5b
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
6.1b
(*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))

series269.0ms (2.2%)

Counts
3 → 168
Calls

3 calls:

133.0ms
(*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))
77.0ms
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
56.0ms
(/.f64 1 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))))

rewrite55.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
51×add-exp-log_binary64
28×add-sqr-sqrt_binary64
23×times-frac_binary64
22×*-un-lft-identity_binary64
21×add-cube-cbrt_binary64
Counts
3 → 117
Calls

3 calls:

16.0ms
(/.f64 1 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))))
15.0ms
(*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))
8.0ms
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))

simplify308.0ms (2.5%)

Algorithm
egg-herbie
Rules
615×fma-neg_binary64
562×times-frac_binary64
321×cancel-sign-sub-inv_binary64
286×associate-/l*_binary64
255×associate-/r*_binary64
Counts
285 → 208
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02146846
16466319
231236067
346106067
450816067

prune387.0ms (3.2%)

Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New2400240
Fresh01313
Picked011
Done011
Total24015255
Error
6.7b
Counts
255 → 15
Alt Table
StatusErrorProgram
36.2b
(/.f64 (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (/.f64 a (sqrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))))
33.5b
(*.f64 (neg.f64 (*.f64 t z)) (/.f64 1 a))
7.9b
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t))) (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))) (/.f64 a (cbrt.f64 (-.f64 (*.f64 x y) (*.f64 z t)))))
7.4b
(/.f64 1 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))))
7.1b
(*.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (/.f64 1 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)))
37.6b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (*.f64 y x) (*.f64 t z)) a) 3))
30.3b
(/.f64 (*.f64 (-.f64 (*.f64 y x) (*.f64 t z)) (fma.f64 t z (*.f64 y x))) (*.f64 a (fma.f64 t z (*.f64 y x))))
31.2b
(/.f64 (*.f64 y x) a)
32.0b
(/.f64 1 (*.f64 (+.f64 (/.f64 (*.f64 t z) (*.f64 y x)) 1) (/.f64 a (*.f64 y x))))
29.3b
(*.f64 (/.f64 (*.f64 (-.f64 (*.f64 y x) (*.f64 t z)) (fma.f64 y x (*.f64 t z))) a) (/.f64 1 (fma.f64 y x (*.f64 t z))))
31.4b
(/.f64 1 (/.f64 a (*.f64 y x)))
34.3b
(/.f64 1 (*.f64 (/.f64 a (*.f64 t z)) (-.f64 -1 (/.f64 (*.f64 y x) (*.f64 t z)))))
33.5b
(neg.f64 (/.f64 (*.f64 t z) a))
37.8b
(/.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (sqrt.f64 a)) (sqrt.f64 a))
Compiler

Compiled 5640 to 2283 computations (59.5% saved)

regimes4.0s (33.1%)

Accuracy

Total 0.3b remaining (4.8%)

Threshold costs 0.3b (4.8%)

Counts
177 → 1
Compiler

Compiled 44715 to 27037 computations (39.5% saved)

simplify7.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11516
22216
33216
43916
54416
64616
74616

end48.0ms (0.4%)

Remove

(sort z t)

(sort x y)

Compiler

Compiled 80 to 50 computations (37.5% saved)

sample2.1s (17.5%)

Algorithm
intervals
Results
662.0ms8000×body128valid
239.0ms2953×body128invalid
Compiler

Compiled 347 to 195 computations (43.8% saved)

Profiling

Loading profile data...