Details

Time bar (total: 1.3s)

analyze5.0ms (0.4%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%50%50%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 9 to 7 computations (22.2% saved)

sample844.0ms (67.1%)

Results
803.0ms8256×body128valid
0.0ms6×body128invalid
Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify6.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
1×sub-neg_binary64
1×1-exp_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11311
21411
31211

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
Compiler

Compiled 24 to 18 computations (25% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (-.f64 x 1))
✓0.5b
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))

series19.0ms (1.5%)

Counts
2 → 8
Calls

2 calls:

11.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
8.0ms
(sqrt.f64 (-.f64 x 1))

rewrite13.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
21×sqrt-prod_binary64
13×*-un-lft-identity_binary64
10×associate-*l*_binary64
7×add-cube-cbrt_binary64
Counts
2 → 60
Calls

2 calls:

7.0ms
(*.f64 (sqrt.f64 (-.f64 x 1)) (sqrt.f64 x))
3.0ms
(sqrt.f64 (-.f64 x 1))

simplify88.0ms (7%)

Algorithm
1×egg-herbie
Rules
725×associate-/l*_binary64
567×fma-def_binary64
550×div-sub_binary64
395×associate-/r*_binary64
324×fma-neg_binary64
Counts
68 → 99
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0103897
1215870
2563870
31598855
44470845
54799845
65736845

prune134.0ms (10.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New97299
Fresh000
Picked101
Done000
Total982100
Error
0b
Counts
100 → 2
Alt Table
StatusErrorProgram
32.8b
(sqrt.f64 (*.f64 (-.f64 x 1) x))
▶0.4b
(-.f64 x 1/2)
Compiler

Compiled 1314 to 883 computations (32.8% saved)

localize2.0ms (0.1%)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done000
Total022
Error
0b
Counts
2 → 2
Alt Table
StatusErrorProgram
▶32.8b
(sqrt.f64 (*.f64 (-.f64 x 1) x))
✓0.4b
(-.f64 x 1/2)
Compiler

Compiled 18 to 13 computations (27.8% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓30.5b
(sqrt.f64 (*.f64 (-.f64 x 1) x))

series7.0ms (0.6%)

Counts
1 → 8
Calls

1 calls:

7.0ms
(sqrt.f64 (*.f64 (-.f64 x 1) x))

rewrite4.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
4×pow1_binary64
2×sqrt-div_binary64
2×associate-*l/_binary64
2×sqrt-pow1_binary64
1×*-un-lft-identity_binary64
Counts
1 → 15
Calls

1 calls:

3.0ms
(sqrt.f64 (*.f64 (-.f64 x 1) x))

simplify60.0ms (4.8%)

Algorithm
1×egg-herbie
Rules
455×fma-neg_binary64
446×distribute-rgt-in_binary64
369×distribute-lft-in_binary64
331×fma-def_binary64
282×difference-of-squares_binary64
Counts
23 → 37
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
055238
1111232
2272228
3684228
41676228
54250228
64986228

prune13.0ms (1.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New37037
Fresh000
Picked011
Done011
Total37239
Error
0b
Counts
39 → 2
Alt Table
StatusErrorProgram
✓32.8b
(sqrt.f64 (*.f64 (-.f64 x 1) x))
✓0.4b
(-.f64 x 1/2)
Compiler

Compiled 395 to 247 computations (37.5% saved)

regimes15.0ms (1.2%)

Accuracy

Total 0.7b remaining (99.4%)

Threshold costs 0.7b (99.4%)

Counts
5 → 1
Compiler

Compiled 78 to 56 computations (28.2% saved)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×sub-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044
174
284
374

end34.0ms (2.7%)

Compiler

Compiled 19 to 14 computations (26.3% saved)

Profiling

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