Details

Time bar (total: 4.0s)

analyze355.0ms (8.9%)

Algorithm
search
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
7%0.3%92.6%13
7.1%0.2%92.7%14
Compiler

Compiled 23 to 16 computations (30.4% saved)

sample26.0ms (0.7%)

Algorithm
intervals
Results
10.0ms256×body128valid
5.0ms260×pre128true
0.0msbody128invalid
Compiler

Compiled 38 to 27 computations (28.9% saved)

simplify117.0ms (2.9%)

Algorithm
egg-herbie
Rules
724×associate-/r/_binary64
530×unsub-neg_binary64
520×distribute-rgt-in_binary64
518×div-sub_binary64
438×sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0916
12016
23916
37216
420716
543016
671516
7112616
895516
9107716
10141716
11190916
12219516
13328816
14328816
15368116
16474016

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
Compiler

Compiled 39 to 27 computations (30.8% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)

rewrite125.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
28×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
13×add-cube-cbrt_binary64
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
Counts
4 → 96
Calls

4 calls:

9.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
7.0ms
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
6.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 1708 to 1122 computations (34.3% saved)

series94.0ms (2.3%)

Error
0.1b
Counts
4 → 45
Calls

4 calls:

31.0ms
(*.f64 (-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1) m)
24.0ms
(-.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1)
18.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 1013 to 684 computations (32.5% saved)

simplify91.0ms (2.3%)

Algorithm
egg-herbie
Rules
440×div-sub_binary64
374×distribute-rgt-in_binary64
354×distribute-lft-in_binary64
341×associate-*l/_binary64
215×associate-/r*_binary64
Counts
141 → 119
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01611957
13731773
211811757
338531752
451991752

prune68.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1109119
Fresh000
Picked101
Done000
Total1119120
Error
0.0b
Counts
120 → 9
Alt Table
StatusErrorProgram
0.1b
(*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1) m)
0.6b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
54.3b
(neg.f64 (/.f64 (pow.f64 m 3) v))
1.5b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
17.4b
(-.f64 (/.f64 (*.f64 m m) v) m)
8.0b
(*.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1) (*.f64 m (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 m (*.f64 m m)) v)))))
32.4b
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 m 3) (*.f64 (-.f64 1 m) (-.f64 1 m))) (*.f64 v v)) m) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
0.3b
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
0.2b
(*.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1) m)
Compiler

Compiled 1419 to 686 computations (51.7% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)
0.0b
(*.f64 m (-.f64 1 m))
0.0b
(/.f64 (*.f64 m (-.f64 1 m)) v)
0.1b
(*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1) m)

rewrite118.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
21×add-sqr-sqrt_binary64
19×*-un-lft-identity_binary64
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
12×add-cube-cbrt_binary64
Counts
4 → 89
Calls

4 calls:

9.0ms
(*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1) m)
7.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
7.0ms
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)
6.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 1608 to 1048 computations (34.8% saved)

series93.0ms (2.3%)

Error
0.0b
Counts
4 → 45
Calls

4 calls:

30.0ms
(*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1) m)
25.0ms
(+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1)
18.0ms
(/.f64 (*.f64 m (-.f64 1 m)) v)
8.0ms
(*.f64 m (-.f64 1 m))
Compiler

Compiled 1020 to 687 computations (32.6% saved)

simplify90.0ms (2.2%)

Algorithm
egg-herbie
Rules
501×div-sub_binary64
453×distribute-rgt-in_binary64
417×distribute-lft-in_binary64
365×associate-*l/_binary64
225×*-commutative_binary64
Counts
134 → 111
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01611860
13921675
212421657
341301652
455981652

prune60.0ms (1.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1110111
Fresh088
Picked011
Done000
Total1119120
Error
0.0b
Counts
120 → 9
Alt Table
StatusErrorProgram
0.1b
(*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1) m)
0.6b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
54.3b
(neg.f64 (/.f64 (pow.f64 m 3) v))
1.5b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
17.4b
(-.f64 (/.f64 (*.f64 m m) v) m)
8.0b
(*.f64 (+.f64 (sqrt.f64 (/.f64 (*.f64 m (-.f64 1 m)) v)) 1) (*.f64 m (+.f64 -1 (sqrt.f64 (/.f64 (-.f64 m (*.f64 m m)) v)))))
32.4b
(/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 m 3) (*.f64 (-.f64 1 m) (-.f64 1 m))) (*.f64 v v)) m) (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) 1))
0.3b
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
0.2b
(*.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1) m)
Compiler

Compiled 1371 to 658 computations (52% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 m (*.f64 m m))
0.1b
(/.f64 v (-.f64 m (*.f64 m m)))
0.1b
(*.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1) m)
0.3b
(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))

rewrite267.0ms (6.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
156×times-frac_binary64
125×add-sqr-sqrt_binary64
105×*-un-lft-identity_binary64
74×add-cube-cbrt_binary64
27×difference-of-squares_binary64
Counts
4 → 196
Calls

4 calls:

25.0ms
(*.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1) m)
11.0ms
(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
5.0ms
(/.f64 v (-.f64 m (*.f64 m m)))
3.0ms
(-.f64 m (*.f64 m m))
Compiler

Compiled 4491 to 1846 computations (58.9% saved)

series98.0ms (2.5%)

Error
0.0b
Counts
4 → 45
Calls

4 calls:

31.0ms
(*.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1) m)
23.0ms
(/.f64 v (-.f64 m (*.f64 m m)))
19.0ms
(/.f64 1 (/.f64 v (-.f64 m (*.f64 m m))))
8.0ms
(-.f64 m (*.f64 m m))
Compiler

Compiled 1211 to 845 computations (30.2% saved)

simplify189.0ms (4.7%)

Algorithm
egg-herbie
Rules
343×distribute-rgt-in_binary64
317×distribute-lft-in_binary64
308×times-frac_binary64
300×div-sub_binary64
254×associate-/l*_binary64
Counts
241 → 198
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02334661
14684201
214344073
338444073
449914073
549704073

prune98.0ms (2.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1962198
Fresh257
Picked011
Done011
Total1989207
Error
0.0b
Counts
207 → 9
Alt Table
StatusErrorProgram
0.1b
(*.f64 (+.f64 (/.f64 (*.f64 m (-.f64 1 m)) v) -1) m)
0.6b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
54.3b
(neg.f64 (/.f64 (pow.f64 m 3) v))
1.5b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
17.4b
(-.f64 (/.f64 (*.f64 m m) v) m)
8.1b
(*.f64 (+.f64 (/.f64 1 (sqrt.f64 (/.f64 v (-.f64 m (*.f64 m m))))) 1) (-.f64 (/.f64 m (sqrt.f64 (/.f64 v (-.f64 m (*.f64 m m))))) m))
0.3b
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
10.0b
(/.f64 (*.f64 m (+.f64 -1 (*.f64 (/.f64 (-.f64 m (*.f64 m m)) v) (/.f64 (-.f64 m (*.f64 m m)) v)))) (+.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1))
0.2b
(*.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1) m)
Compiler

Compiled 2403 to 916 computations (61.9% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
0.1b
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
0.2b
(/.f64 m (sqrt.f64 v))
0.3b
(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))

rewrite175.0ms (4.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
56×add-sqr-sqrt_binary64
45×*-un-lft-identity_binary64
44×times-frac_binary64
39×add-cube-cbrt_binary64
28×sqrt-prod_binary64
Counts
4 → 146
Calls

4 calls:

14.0ms
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
12.0ms
(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
11.0ms
(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))
3.0ms
(/.f64 m (sqrt.f64 v))
Compiler

Compiled 3133 to 1477 computations (52.9% saved)

series101.0ms (2.5%)

Error
0.0b
Counts
4 → 38
Calls

4 calls:

32.0ms
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
23.0ms
(*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v)))
17.0ms
(/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v))
15.0ms
(/.f64 m (sqrt.f64 v))
Compiler

Compiled 1278 to 905 computations (29.2% saved)

simplify124.0ms (3.1%)

Algorithm
egg-herbie
Rules
458×associate-/r*_binary64
453×distribute-rgt-in_binary64
437×associate-/r/_binary64
435×distribute-lft-in_binary64
173×associate-/l*_binary64
Counts
184 → 132
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02213157
15172640
219192627
346812625
449822625

prune83.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1311132
Fresh156
Picked011
Done112
Total1338141
Error
0.0b
Counts
141 → 8
Alt Table
StatusErrorProgram
1.5b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (*.f64 (cbrt.f64 m) (cbrt.f64 m))) (cbrt.f64 m))
17.4b
(-.f64 (/.f64 (*.f64 m m) v) m)
8.1b
(*.f64 (+.f64 (/.f64 1 (sqrt.f64 (/.f64 v (-.f64 m (*.f64 m m))))) 1) (-.f64 (/.f64 m (sqrt.f64 (/.f64 v (-.f64 m (*.f64 m m))))) m))
0.3b
(*.f64 (-.f64 (/.f64 (*.f64 (-.f64 1 m) (/.f64 m (sqrt.f64 v))) (sqrt.f64 v)) 1) m)
10.0b
(/.f64 (*.f64 m (+.f64 -1 (*.f64 (/.f64 (-.f64 m (*.f64 m m)) v) (/.f64 (-.f64 m (*.f64 m m)) v)))) (+.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1))
0.2b
(*.f64 (-.f64 (/.f64 1 (/.f64 v (-.f64 m (*.f64 m m)))) 1) m)
0.2b
(-.f64 (*.f64 (/.f64 m v) (-.f64 m (*.f64 m m))) m)
0.6b
(*.f64 (*.f64 (+.f64 -1 (/.f64 (-.f64 m (*.f64 m m)) v)) (sqrt.f64 m)) (sqrt.f64 m))
Compiler

Compiled 1692 to 817 computations (51.7% saved)

regimes640.0ms (16.1%)

Accuracy

Total 0.1b remaining (87.6%)

Threshold costs 0.1b (87.6%)

Compiler

Compiled 8558 to 5648 computations (34% saved)

simplify3.0ms (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
01016
12016
22716
33116
43316
53216

end1.0ms (0%)

Compiler

Compiled 13 to 7 computations (46.2% saved)

sample940.0ms (23.6%)

Algorithm
intervals
Results
387.0ms8000×body128valid
170.0ms8074×pre128true
3.0ms74×body128invalid
Compiler

Compiled 189 to 107 computations (43.4% saved)

Profiling

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