Details

Time bar (total: 6.4s)

analyze1.3s (20.3%)

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)

sample1.5s (23.2%)

Results
1.1s8256×body128valid
403.0ms3094×body128invalid
Compiler

Compiled 30 to 20 computations (33.3% saved)

preprocess52.0ms (0.8%)

Algorithm
egg-herbie
Rules
726×times-frac_binary64
527×fma-neg_binary64
372×div-sub_binary64
352×cancel-sign-sub-inv_binary64
314×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042143
1137143
2294143
3489143
41106143
52123143
63016143
055
155
Stop Event
unsound
node limit
Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify32.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
12113
24613
37713
416113
529213
648313
773313
8118613
9175813
10265813
11274513
12277513
13278013
Stop Event
saturated
Counts
1 → 1

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
7.4b
Counts
2 → 1
Alt Table
StatusErrorProgram
7.4b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
Compiler

Compiled 42 to 27 computations (35.7% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (*.f64 x y) (*.f64 z t))
6.9b
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)

series35.0ms (0.5%)

Counts
2 → 108
Calls

27 calls:

3.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
a
-inf
2.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
x
inf
2.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
z
inf
2.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
y
-inf
2.0ms
(/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)
x
-inf

rewrite70.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
420×fma-def_binary64
224×egg-rr
220×fma-neg_binary64
214×expm1-udef_binary64
214×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01023
122723
2330023
Stop Event
node limit
Counts
2 → 224

simplify80.0ms (1.3%)

Algorithm
egg-herbie
Rules
1168×fma-def_binary64
351×fma-neg_binary64
127×cancel-sign-sub-inv_binary64
93×associate-/l*_binary64
92×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191140
1491140
21081140
32451140
45201140
59881140
618281140
727731140
830291140
930671140
1030721140
Stop Event
saturated
Counts
332 → 237

prune173.0ms (2.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New22710237
Fresh000
Picked101
Done000
Total22810238
Error
0.0b
Counts
238 → 10
Alt Table
StatusErrorProgram
20.3b
(/.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (neg.f64 t))) a)
9.0b
(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
7.7b
(pow.f64 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))) -1)
8.4b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (cbrt.f64 a)))
21.5b
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 t)) (sqrt.f64 t) (*.f64 x y)) a)
33.0b
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)) 2)
34.9b
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x y)) 1) (/.f64 (sqrt.f64 (*.f64 x y)) a) (neg.f64 (/.f64 z (/.f64 a t))))
34.6b
(*.f64 t (/.f64 (neg.f64 z) a))
7.4b
(/.f64 (fma.f64 t (neg.f64 z) (*.f64 y x)) a)
8.8b
(fma.f64 (/.f64 x 1) (/.f64 y a) (neg.f64 (/.f64 z (/.f64 a t))))
Compiler

Compiled 4887 to 1290 computations (73.6% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.8b
(fma.f64 t (neg.f64 z) (*.f64 y x))
6.9b
(/.f64 (fma.f64 t (neg.f64 z) (*.f64 y x)) a)

series38.0ms (0.6%)

Counts
2 → 108
Calls

27 calls:

4.0ms
(/.f64 (fma.f64 t (neg.f64 z) (*.f64 y x)) a)
a
-inf
2.0ms
(/.f64 (fma.f64 t (neg.f64 z) (*.f64 y x)) a)
y
0
2.0ms
(/.f64 (fma.f64 t (neg.f64 z) (*.f64 y x)) a)
y
-inf
2.0ms
(/.f64 (fma.f64 t (neg.f64 z) (*.f64 y x)) a)
x
-inf
2.0ms
(/.f64 (fma.f64 t (neg.f64 z) (*.f64 y x)) a)
t
inf

rewrite52.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
893×log1p-expm1-u_binary64
893×expm1-log1p-u_binary64
209×prod-diff_binary64
107×add-sqr-sqrt_binary64
97×add-cbrt-cube_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01023
120519
2266019
Stop Event
node limit
Counts
2 → 56

simplify77.0ms (1.2%)

Algorithm
egg-herbie
Rules
1168×fma-def_binary64
322×fma-neg_binary64
127×cancel-sign-sub-inv_binary64
93×associate-/l*_binary64
92×unsub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0191140
1491140
21081140
32451140
45211140
59891140
617971140
727481140
830041140
930421140
1030471140
Stop Event
saturated
Counts
164 → 69

prune44.0ms (0.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New69069
Fresh099
Picked011
Done000
Total691079
Error
0.0b
Counts
79 → 10
Alt Table
StatusErrorProgram
20.3b
(/.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (neg.f64 t))) a)
9.0b
(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
7.7b
(pow.f64 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))) -1)
8.4b
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) (cbrt.f64 a)))
21.5b
(/.f64 (fma.f64 (*.f64 (neg.f64 z) (sqrt.f64 t)) (sqrt.f64 t) (*.f64 x y)) a)
33.0b
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (*.f64 x y) (*.f64 z t)) a)) 2)
34.9b
(fma.f64 (/.f64 (sqrt.f64 (*.f64 x y)) 1) (/.f64 (sqrt.f64 (*.f64 x y)) a) (neg.f64 (/.f64 z (/.f64 a t))))
34.6b
(*.f64 t (/.f64 (neg.f64 z) a))
7.4b
(/.f64 (fma.f64 t (neg.f64 z) (*.f64 y x)) a)
8.8b
(fma.f64 (/.f64 x 1) (/.f64 y a) (neg.f64 (/.f64 z (/.f64 a t))))
Compiler

Compiled 1214 to 462 computations (61.9% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.5b
(pow.f64 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))) -1)
0.7b
(-.f64 (*.f64 x y) (*.f64 z t))
7.0b
(/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))

series376.0ms (5.9%)

Counts
2 → 120
Calls

30 calls:

42.0ms
(pow.f64 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))) -1)
y
-inf
31.0ms
(pow.f64 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))) -1)
x
-inf
27.0ms
(pow.f64 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))) -1)
y
0
25.0ms
(pow.f64 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))) -1)
t
inf
25.0ms
(pow.f64 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t))) -1)
z
inf

rewrite60.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
405×fma-def_binary64
237×expm1-udef_binary64
237×log1p-udef_binary64
200×fma-neg_binary64
135×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01229
126626
2358926
Stop Event
node limit
Counts
2 → 81

simplify65.0ms (1%)

Algorithm
egg-herbie
Rules
825×associate-/r*_binary64
443×associate-*l*_binary64
325×fma-def_binary64
260×associate-*l/_binary64
245×associate-*r/_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0882988
13212844
214932844
Stop Event
node limit
Counts
201 → 110

prune189.0ms (3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New2833286
Fresh448
Picked101
Done011
Total2888296
Error
0.0b
Counts
296 → 8
Alt Table
StatusErrorProgram
20.3b
(/.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (neg.f64 t))) a)
9.0b
(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
8.7b
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))) 3) -1)
7.8b
(pow.f64 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))) -1)
34.6b
(*.f64 t (/.f64 (neg.f64 z) a))
34.5b
(*.f64 (/.f64 (neg.f64 t) a) z)
7.4b
(/.f64 (fma.f64 t (neg.f64 z) (*.f64 y x)) a)
8.8b
(fma.f64 (/.f64 x 1) (/.f64 y a) (neg.f64 (/.f64 z (/.f64 a t))))
Compiler

Compiled 6351 to 2123 computations (66.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.5b
(/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))
0.5b
(pow.f64 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))) -1)
0.7b
(-.f64 (*.f64 x y) (*.f64 z t))
6.6b
(*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t))))

series398.0ms (6.2%)

Counts
3 → 168
Calls

42 calls:

32.0ms
(pow.f64 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))) -1)
x
-inf
30.0ms
(pow.f64 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))) -1)
y
-inf
27.0ms
(pow.f64 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))) -1)
x
0
24.0ms
(pow.f64 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))) -1)
z
inf
24.0ms
(pow.f64 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))) -1)
y
0

rewrite69.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
425×fma-def_binary64
258×expm1-udef_binary64
258×log1p-udef_binary64
209×fma-neg_binary64
149×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01442
130439
2389639
Stop Event
node limit
Counts
3 → 76

simplify84.0ms (1.3%)

Algorithm
egg-herbie
Rules
483×fma-def_binary64
447×associate-*l/_binary64
376×associate-*r/_binary64
308×associate-/l/_binary64
251×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01124872
14244620
219814596
Stop Event
node limit
Counts
244 → 117

prune181.0ms (2.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2930293
Fresh066
Picked011
Done011
Total2938301
Error
0.0b
Counts
301 → 8
Alt Table
StatusErrorProgram
20.3b
(/.f64 (fma.f64 (sqrt.f64 y) (*.f64 (sqrt.f64 y) x) (*.f64 z (neg.f64 t))) a)
9.0b
(fma.f64 (/.f64 y 1) (/.f64 x a) (neg.f64 (/.f64 z (/.f64 a t))))
8.7b
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 a (-.f64 (*.f64 x y) (*.f64 z t)))) 3) -1)
7.8b
(pow.f64 (*.f64 a (/.f64 1 (-.f64 (*.f64 x y) (*.f64 z t)))) -1)
34.6b
(*.f64 t (/.f64 (neg.f64 z) a))
34.5b
(*.f64 (/.f64 (neg.f64 t) a) z)
7.4b
(/.f64 (fma.f64 t (neg.f64 z) (*.f64 y x)) a)
8.8b
(fma.f64 (/.f64 x 1) (/.f64 y a) (neg.f64 (/.f64 z (/.f64 a t))))
Compiler

Compiled 6874 to 2687 computations (60.9% saved)

regimes1.2s (18.9%)

Accuracy

Total 0.6b remaining (96.6%)

Threshold costs 0.6b (96.6%)

Counts
68 → 3
Compiler

Compiled 12203 to 8166 computations (33.1% saved)

bsearch2.0ms (0%)

Algorithm
left-value
Calls

2 calls:

0.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
0.0ms
(-.f64 (*.f64 x y) (*.f64 z t))
Steps
ItersPointRange
2.855096886471254e+271
∈ [
2.855096886471254e+271
,
6.177615279933816e+271
]
#hash((type . real) (value . -inf))
∈ [
#hash((type . real) (value . -inf))
,
-1.3774023526629979e+298
]
Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify6.0ms (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
03075
14675
25875
36475
46775
56875
Stop Event
saturated

end281.0ms (4.4%)

Stop Event
fuel
Remove

(sort z t)

Compiler

Compiled 575 to 271 computations (52.9% saved)

Profiling

Loading profile data...