Details

Time bar (total: 15.7s)

analyze1.9s (11.8%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
1.1%98.6%0.3%12
1.9%97.8%0.3%13
7%92.7%0.3%14
Compiler

Compiled 28 to 17 computations (39.3% saved)

sample97.0ms (0.6%)

Algorithm
intervals
Results
18.0ms256×body128valid
Compiler

Compiled 61 to 39 computations (36.1% saved)

simplify99.0ms (0.6%)

Algorithm
egg-herbie
Rules
765×sub-neg_binary64
731×fma-neg_binary64
652×neg-mul-1_binary64
505×fma-def_binary64
495×cancel-sign-sub-inv_binary64
Counts
1 → 2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01729
13729
28529
319427
448627
5100327
6192027
7340627
8407827
9443127
10491927
11508527

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New022
Fresh011
Picked000
Done000
Total033
Error
25.9b
Counts
3 → 2
Alt Table
StatusErrorProgram
25.9b
(/.f64 (fma.f64 y (-.f64 a b) (fma.f64 (+.f64 x y) z (*.f64 t a))) (+.f64 x (+.f64 y t)))
25.9b
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
Compiler

Compiled 150 to 83 computations (44.7% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (+.f64 x y) z)
1.0b
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
1.6b
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
24.3b
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))

series204.0ms (1.3%)

Counts
4 → 240
Calls

4 calls:

150.0ms
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
29.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
19.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
6.0ms
(*.f64 (+.f64 x y) z)

rewrite38.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity_binary64
20×add-sqr-sqrt_binary64
18×add-cube-cbrt_binary64
15×times-frac_binary64
13×distribute-lft-out_binary64
Counts
4 → 105
Calls

4 calls:

12.0ms
(/.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (+.f64 (+.f64 x t) y))
7.0ms
(-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b))
5.0ms
(+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a))
4.0ms
(*.f64 (+.f64 x y) z)

simplify168.0ms (1.1%)

Algorithm
egg-herbie
Rules
618×associate-/l*_binary64
298×+-commutative_binary64
290×fma-def_binary64
269×distribute-rgt-in_binary64
247×distribute-lft-in_binary64
Counts
345 → 281
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
077412872
1227712422
2502612422

prune256.0ms (1.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2729281
Fresh101
Picked101
Done000
Total2749283
Error
2.2b
Counts
283 → 9
Alt Table
StatusErrorProgram
42.5b
(*.f64 (/.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) (-.f64 (pow.f64 (+.f64 t x) 2) (*.f64 y y))) (-.f64 (+.f64 x t) y))
25.9b
(/.f64 (+.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) (*.f64 0 (*.f64 y b))) (+.f64 (+.f64 x t) y))
53.9b
(/.f64 (-.f64 (pow.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) 3) (pow.f64 (*.f64 y b) 3)) (*.f64 (+.f64 y (+.f64 t x)) (fma.f64 (*.f64 y b) (fma.f64 y b (fma.f64 a (+.f64 y t) (*.f64 z (+.f64 y x)))) (*.f64 (fma.f64 a (+.f64 y t) (*.f64 z (+.f64 y x))) (fma.f64 a (+.f64 y t) (*.f64 z (+.f64 y x)))))))
29.2b
(-.f64 (+.f64 a z) b)
26.0b
(*.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (/.f64 1 (+.f64 (+.f64 x t) y)))
26.0b
(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))))
40.3b
(*.f64 (/.f64 a (+.f64 y (+.f64 t x))) (+.f64 y t))
42.7b
z
42.2b
a
Compiler

Compiled 13325 to 3499 computations (73.7% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(fma.f64 a t (*.f64 y (-.f64 a b)))
1.5b
(fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))
5.9b
(*.f64 0 (*.f64 y b))
24.3b
(/.f64 (+.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) (*.f64 0 (*.f64 y b))) (+.f64 (+.f64 x t) y))

series178.0ms (1.1%)

Counts
4 → 216
Calls

4 calls:

140.0ms
(/.f64 (+.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) (*.f64 0 (*.f64 y b))) (+.f64 (+.f64 x t) y))
24.0ms
(fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))
12.0ms
(fma.f64 a t (*.f64 y (-.f64 a b)))
2.0ms
(*.f64 0 (*.f64 y b))

rewrite17.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity_binary64
15×times-frac_binary64
15×add-sqr-sqrt_binary64
15×add-cube-cbrt_binary64
12×distribute-lft-out_binary64
Counts
4 → 82
Calls

4 calls:

7.0ms
(/.f64 (+.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) (*.f64 0 (*.f64 y b))) (+.f64 (+.f64 x t) y))
4.0ms
(*.f64 0 (*.f64 y b))
0.0ms
(fma.f64 a t (*.f64 y (-.f64 a b)))
0.0ms
(fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))

simplify150.0ms (1%)

Algorithm
egg-herbie
Rules
582×associate-/l*_binary64
375×associate-/r*_binary64
268×+-commutative_binary64
244×associate-*r*_binary64
234×associate--l+_binary64
Counts
298 → 221
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069411471
1199410818
2511410818

prune192.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New2201221
Fresh178
Picked011
Done000
Total2219230
Error
2.2b
Counts
230 → 9
Alt Table
StatusErrorProgram
29.2b
(-.f64 (+.f64 a z) b)
53.9b
(/.f64 (+.f64 (pow.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) 3) (pow.f64 (*.f64 0 (*.f64 y b)) 3)) (*.f64 (+.f64 y (+.f64 t x)) (*.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))))))
42.5b
(*.f64 (/.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) (-.f64 (pow.f64 (+.f64 t x) 2) (*.f64 y y))) (-.f64 (+.f64 x t) y))
25.9b
(/.f64 (+.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) (*.f64 0 (*.f64 y b))) (+.f64 (+.f64 x t) y))
26.0b
(*.f64 (-.f64 (+.f64 (*.f64 (+.f64 x y) z) (*.f64 (+.f64 t y) a)) (*.f64 y b)) (/.f64 1 (+.f64 (+.f64 x t) y)))
26.0b
(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))))
40.3b
(*.f64 (/.f64 a (+.f64 y (+.f64 t x))) (+.f64 y t))
42.7b
z
42.2b
a
Compiler

Compiled 11569 to 3562 computations (69.2% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))))
0.5b
(fma.f64 a t (*.f64 y (-.f64 a b)))
1.5b
(fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))
24.3b
(/.f64 (+.f64 y (+.f64 t x)) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))))

series1.7s (10.7%)

Counts
2 → 144
Calls

2 calls:

1.6s
(/.f64 (+.f64 y (+.f64 t x)) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))))
129.0ms
(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))))

rewrite34.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
148×*-un-lft-identity_binary64
132×times-frac_binary64
68×add-sqr-sqrt_binary64
68×add-cube-cbrt_binary64
48×distribute-lft-out_binary64
Counts
2 → 141
Calls

2 calls:

7.0ms
(/.f64 1 (/.f64 (+.f64 y (+.f64 t x)) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))))
5.0ms
(/.f64 (+.f64 y (+.f64 t x)) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))))

simplify378.0ms (2.4%)

Algorithm
egg-herbie
Rules
598×associate-/l*_binary64
439×times-frac_binary64
324×fma-def_binary64
76×sub-neg_binary64
46×sqr-pow_binary64
Counts
285 → 295
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0272946602
1555246602

prune614.0ms (3.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New3554359
Fresh347
Picked101
Done011
Total3599368
Error
2.2b
Counts
368 → 9
Alt Table
StatusErrorProgram
26.1b
(/.f64 (/.f64 1 (+.f64 y (+.f64 t x))) (/.f64 1 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))))
25.9b
(/.f64 (+.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) (*.f64 0 (*.f64 y b))) (+.f64 (+.f64 x t) y))
26.0b
(/.f64 1 (*.f64 (+.f64 y (+.f64 t x)) (/.f64 1 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))))))
29.2b
(-.f64 (+.f64 a z) b)
26.6b
(/.f64 1 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))) (cbrt.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))))) (/.f64 (+.f64 y (+.f64 t x)) (cbrt.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))))))
26.0b
(*.f64 (/.f64 1 (+.f64 y (+.f64 t x))) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))))
40.3b
(*.f64 (/.f64 a (+.f64 y (+.f64 t x))) (+.f64 y t))
42.7b
z
42.2b
a
Compiler

Compiled 53662 to 20434 computations (61.9% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 y (-.f64 a b))
0.5b
(fma.f64 a t (*.f64 y (-.f64 a b)))
1.5b
(fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))
24.3b
(*.f64 (/.f64 1 (+.f64 y (+.f64 t x))) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))))

series135.0ms (0.9%)

Counts
2 → 96
Calls

2 calls:

129.0ms
(*.f64 (/.f64 1 (+.f64 y (+.f64 t x))) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))))
6.0ms
(*.f64 y (-.f64 a b))

rewrite23.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity_binary64
39×add-sqr-sqrt_binary64
28×add-cube-cbrt_binary64
24×associate-*l*_binary64
18×prod-diff_binary64
Counts
2 → 97
Calls

2 calls:

9.0ms
(*.f64 (/.f64 1 (+.f64 y (+.f64 t x))) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))))
5.0ms
(*.f64 y (-.f64 a b))

simplify164.0ms (1%)

Algorithm
egg-herbie
Rules
794×fma-def_binary64
691×associate-/l*_binary64
459×associate-/r*_binary64
245×+-commutative_binary64
198×associate-+r+_binary64
Counts
193 → 198
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
07029641
120369373
249418692
355798692

prune256.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2584262
Fresh167
Picked101
Done011
Total26011271
Error
1.0b
Counts
271 → 11
Alt Table
StatusErrorProgram
16.8b
(-.f64 (fma.f64 (/.f64 y (+.f64 (+.f64 t x) y)) z (fma.f64 (/.f64 y (+.f64 (+.f64 t x) y)) a (fma.f64 (/.f64 a (+.f64 (+.f64 t x) y)) t (/.f64 (*.f64 z x) (+.f64 (+.f64 t x) y))))) (/.f64 (*.f64 y b) (+.f64 (+.f64 t x) y)))
26.1b
(/.f64 (/.f64 1 (+.f64 y (+.f64 t x))) (/.f64 1 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b))))))
25.9b
(/.f64 (+.f64 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))) (*.f64 0 (*.f64 y b))) (+.f64 (+.f64 x t) y))
29.2b
(-.f64 (+.f64 a z) b)
26.2b
(*.f64 (/.f64 1 (+.f64 y (+.f64 t x))) (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 (*.f64 (cbrt.f64 (*.f64 y (-.f64 a b))) (cbrt.f64 (*.f64 y (-.f64 a b)))) (cbrt.f64 (*.f64 y (-.f64 a b)))))))
26.0b
(/.f64 1 (*.f64 (+.f64 y (+.f64 t x)) (/.f64 1 (fma.f64 z (+.f64 y x) (fma.f64 a t (*.f64 y (-.f64 a b)))))))
44.5b
(-.f64 (+.f64 a (fma.f64 (/.f64 z t) x (/.f64 (*.f64 z y) t))) (fma.f64 (/.f64 y t) b (/.f64 (*.f64 a x) t)))
38.3b
(-.f64 (fma.f64 (/.f64 y (+.f64 t x)) a (fma.f64 (/.f64 y (+.f64 t x)) z (fma.f64 (/.f64 z (+.f64 t x)) x (/.f64 (*.f64 a t) (+.f64 t x))))) (fma.f64 (/.f64 y (+.f64 t x)) b (fma.f64 (/.f64 y (pow.f64 (+.f64 t x) 2)) (*.f64 a t) (/.f64 (*.f64 (*.f64 z x) y) (pow.f64 (+.f64 t x) 2)))))
40.3b
(*.f64 (/.f64 a (+.f64 y (+.f64 t x))) (+.f64 y t))
42.7b
z
42.2b
a
Compiler

Compiled 11865 to 3739 computations (68.5% saved)

regimes8.0s (51%)

Accuracy

Total 7.0b remaining (86.6%)

Threshold costs 0b (0%)

Counts
407 → 3
Compiler

Compiled 87167 to 48929 computations (43.9% saved)

bsearch18.0ms (0.1%)

Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify8.0ms (0%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
041154
167154
283154
391154
495154
595154

end1.0ms (0%)

Compiler

Compiled 109 to 38 computations (65.1% saved)

sample1.1s (6.8%)

Algorithm
intervals
Results
580.0ms7998×body128valid
0.0msbody512valid
0.0msbody256valid
Compiler

Compiled 461 to 224 computations (51.4% saved)

Profiling

Loading profile data...