Details

Time bar (total: 2.2s)

analyze6.0ms (0.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
12.5%25%62.5%4
18.7%12.5%68.8%5
21.9%6.2%71.9%6
23.4%3.1%73.5%7
24.2%1.6%74.2%8
24.6%0.8%74.6%9
24.8%0.4%74.8%10
24.9%0.2%74.9%11
24.9%0.1%75%12
25%0%75%13
25%0%75%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample1.2s (56.7%)

Results
1.0s8256×body128valid
0.0msbody128invalid
Compiler

Compiled 44 to 32 computations (27.3% saved)

simplify201.0ms (9.3%)

Algorithm
egg-herbie
Rules
1115×distribute-rgt-neg-in_binary64
788×distribute-rgt-out--_binary64
692×unsub-neg_binary64
492×fma-neg_binary64
461×distribute-neg-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
11820
22420
33420
45020
57320
611320
724720
845220
974220
10156020
11233820
12239220
13262820
14277620
15277420
16285120
17311020
18367320
19466520
20491020
21495220
22496320
23496020
24620820

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 42 to 30 computations (28.6% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (*.f64 x x))
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
0.0b
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
0.0b
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)

series25.0ms (1.2%)

Counts
4 → 48
Calls

4 calls:

11.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
7.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
5.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
2.0ms
(-.f64 1 (*.f64 x x))

rewrite52.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity_binary64
59×times-frac_binary64
50×add-sqr-sqrt_binary64
39×add-cube-cbrt_binary64
26×sqrt-prod_binary64
Counts
4 → 141
Calls

4 calls:

19.0ms
(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
16.0ms
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
5.0ms
(/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)
2.0ms
(-.f64 1 (*.f64 x x))

simplify113.0ms (5.2%)

Algorithm
egg-herbie
Rules
528×fma-def_binary64
513×associate-/r*_binary64
364×fma-neg_binary64
289×cancel-sign-sub-inv_binary64
279×times-frac_binary64
Counts
189 → 236
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02563550
15873366
216383325
343603290
448883290

prune139.0ms (6.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2351236
Fresh000
Picked011
Done000
Total2352237
Error
0b
Counts
237 → 2
Alt Table
StatusErrorProgram
1.1b
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))))
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 4919 to 3319 computations (32.5% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(-.f64 1 (*.f64 x x))
0.1b
(log1p.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x))))
0.2b
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
1.1b
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))))

series34.0ms (1.6%)

Counts
3 → 36
Calls

3 calls:

16.0ms
(log1p.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x))))
9.0ms
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))))
9.0ms
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))

rewrite7.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64
add-log-exp_binary64
add-sqr-sqrt_binary64
add-cube-cbrt_binary64
sum-log_binary64
Counts
3 → 49
Calls

3 calls:

4.0ms
(+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))
0.0ms
(log1p.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x))))
0.0ms
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))))

simplify90.0ms (4.1%)

Algorithm
egg-herbie
Rules
567×distribute-rgt-in_binary64
492×fma-def_binary64
328×fma-neg_binary64
314×times-frac_binary64
170×sub-neg_binary64
Counts
85 → 113
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02022384
15622180
218932140
348772140
450732140

prune107.0ms (4.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1450145
Fresh000
Picked011
Done011
Total1452147
Error
0b
Counts
147 → 2
Alt Table
StatusErrorProgram
1.1b
(expm1.f64 (log1p.f64 (+.f64 (log1p.f64 (sqrt.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (log.f64 x)))))
0.0b
(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
Compiler

Compiled 3326 to 2332 computations (29.9% saved)

regimes91.0ms (4.2%)

Accuracy

Total 0.0b remaining (91.5%)

Threshold costs 0.0b (91.5%)

Counts
23 → 1
Compiler

Compiled 823 to 637 computations (22.6% saved)

simplify3.0ms (0.1%)

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
01020
11820
22420
32820
43020
52920

end49.0ms (2.3%)

Compiler

Compiled 56 to 41 computations (26.8% saved)

Profiling

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