Details

Time bar (total: 5.1s)

analyze2.0s (38.4%)

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
0%99.7%0.3%12
1.7%98%0.3%13
2.5%97.2%0.3%14
Compiler

Compiled 28 to 20 computations (28.6% saved)

sample86.0ms (1.7%)

Algorithm
intervals
Results
20.0ms256×body128valid
10.0ms151×body128invalid
Compiler

Compiled 61 to 45 computations (26.2% saved)

simplify56.0ms (1.1%)

Algorithm
egg-herbie
Rules
494×fma-neg_binary64
474×distribute-neg-in_binary64
463×associate--l-_binary64
362×associate--r-_binary64
354×+-commutative_binary64
Counts
1 → 2
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01931
14927
214125
346625
4161525
5379425
6454725
7496625

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
0.0b
Counts
3 → 1
Alt Table
StatusErrorProgram
0.0b
(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
Compiler

Compiled 93 to 60 computations (35.5% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
0.0b
(fma.f64 a (-.f64 1 t) x)
0.0b
(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))

series56.0ms (1.1%)

Counts
3 → 168
Calls

3 calls:

31.0ms
(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
15.0ms
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
9.0ms
(fma.f64 a (-.f64 1 t) x)

rewrite2.0ms (0%)

Algorithm
rewrite-expression-head
Rules
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
add-cbrt-cube_binary64
add-exp-log_binary64
Counts
3 → 30
Calls

3 calls:

0.0ms
(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
0.0ms
(fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x))
0.0ms
(fma.f64 a (-.f64 1 t) x)

simplify127.0ms (2.5%)

Algorithm
egg-herbie
Rules
759×fma-neg_binary64
482×associate--l+_binary64
437×sub-neg_binary64
413×associate-+l+_binary64
409×associate-*l*_binary64
Counts
198 → 87
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01103636
12883535
28563328
330263326
448733326
553763326

prune118.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh000
Picked011
Done000
Total86288
Error
0b
Counts
88 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 y b) (+.f64 a (+.f64 z (+.f64 (*.f64 t b) x)))) (+.f64 (*.f64 y z) (+.f64 (*.f64 a t) (*.f64 2 b))))
0.0b
(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
Compiler

Compiled 1763 to 870 computations (50.7% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(+.f64 z (+.f64 (*.f64 t b) x))
0.0b
(+.f64 (*.f64 y b) (+.f64 a (+.f64 z (+.f64 (*.f64 t b) x))))
0.0b
(+.f64 (*.f64 y z) (+.f64 (*.f64 a t) (*.f64 2 b)))
0.0b
(-.f64 (+.f64 (*.f64 y b) (+.f64 a (+.f64 z (+.f64 (*.f64 t b) x)))) (+.f64 (*.f64 y z) (+.f64 (*.f64 a t) (*.f64 2 b))))

series82.0ms (1.6%)

Counts
4 → 135
Calls

4 calls:

40.0ms
(-.f64 (+.f64 (*.f64 y b) (+.f64 a (+.f64 z (+.f64 (*.f64 t b) x)))) (+.f64 (*.f64 y z) (+.f64 (*.f64 a t) (*.f64 2 b))))
19.0ms
(+.f64 (*.f64 y b) (+.f64 a (+.f64 z (+.f64 (*.f64 t b) x))))
16.0ms
(+.f64 (*.f64 y z) (+.f64 (*.f64 a t) (*.f64 2 b)))
7.0ms
(+.f64 z (+.f64 (*.f64 t b) x))

rewrite49.0ms (1%)

Algorithm
rewrite-expression-head
Rules
103×add-log-exp_binary64
61×sum-log_binary64
17×*-un-lft-identity_binary64
15×diff-log_binary64
15×add-sqr-sqrt_binary64
Counts
4 → 103
Calls

4 calls:

19.0ms
(-.f64 (+.f64 (*.f64 y b) (+.f64 a (+.f64 z (+.f64 (*.f64 t b) x)))) (+.f64 (*.f64 y z) (+.f64 (*.f64 a t) (*.f64 2 b))))
10.0ms
(+.f64 (*.f64 y b) (+.f64 a (+.f64 z (+.f64 (*.f64 t b) x))))
5.0ms
(+.f64 (*.f64 y z) (+.f64 (*.f64 a t) (*.f64 2 b)))
4.0ms
(+.f64 z (+.f64 (*.f64 t b) x))

simplify139.0ms (2.7%)

Algorithm
egg-herbie
Rules
484×times-frac_binary64
470×fma-neg_binary64
276×distribute-rgt-in_binary64
260×distribute-lft-in_binary64
257×sub-neg_binary64
Counts
238 → 224
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02335147
17114944
233334818
348684814
450524814

prune174.0ms (3.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New2240224
Fresh000
Picked011
Done011
Total2242226
Error
0b
Counts
226 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 (+.f64 (*.f64 y b) (+.f64 a (+.f64 z (+.f64 (*.f64 t b) x)))) (+.f64 (*.f64 y z) (+.f64 (*.f64 a t) (*.f64 2 b))))
0.0b
(fma.f64 (-.f64 (+.f64 y t) 2) b (fma.f64 z (-.f64 1 y) (fma.f64 a (-.f64 1 t) x)))
Compiler

Compiled 7987 to 2206 computations (72.4% saved)

regimes581.0ms (11.3%)

Accuracy

Total 0.0b remaining (63.8%)

Threshold costs 0.0b (63.8%)

Counts
80 → 1
Compiler

Compiled 11863 to 7754 computations (34.6% saved)

simplify164.0ms (3.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01625
12625
23425
33825
44025
53825

end1.0ms (0%)

Compiler

Compiled 24 to 16 computations (33.3% saved)

sample1.5s (29%)

Algorithm
intervals
Results
542.0ms7997×body128valid
296.0ms4452×body128invalid
0.0msbody256valid
0.0msbody512valid
Compiler

Compiled 113 to 77 computations (31.9% saved)

Profiling

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