Details

Time bar (total: 1.8s)

analyze64.0ms (3.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
18.7%81.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample15.0ms (0.8%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify8.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
3×*-commutative_binary64
2×associate-/l*_binary64
2×associate-/r/_binary64
1×+-commutative_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21510
31810
41910
51910

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.7b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶0.7b
(/.f64 (*.f64 x 100) (+.f64 x y))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.7b
(/.f64 (*.f64 x 100) (+.f64 x y))

series12.0ms (0.7%)

Counts
1 → 24
Calls

1 calls:

12.0ms
(/.f64 (*.f64 x 100) (+.f64 x y))

rewrite6.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
7×*-un-lft-identity_binary64
6×add-cbrt-cube_binary64
6×add-exp-log_binary64
4×associate-/r*_binary64
4×times-frac_binary64
Counts
1 → 27
Calls

1 calls:

5.0ms
(/.f64 (*.f64 x 100) (+.f64 x y))

simplify99.0ms (5.6%)

Algorithm
1×egg-herbie
Rules
639×fma-neg_binary64
473×associate-/l*_binary64
448×times-frac_binary64
210×associate-/r*_binary64
192×associate-*l/_binary64
Counts
51 → 54
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
092927
1263846
2891789
33804780
44821780
54965780
64999780
74937780

prune45.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New49554
Fresh000
Picked011
Done000
Total49655
Error
0b
Counts
55 → 6
Alt Table
StatusErrorProgram
1.3b
(/.f64 (*.f64 100 (/.f64 x (*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y))))) (cbrt.f64 (+.f64 x y)))
35.2b
(*.f64 100 (-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4))))
32.7b
(-.f64 (+.f64 (*.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) 100) (*.f64 100 (/.f64 y x)))
✓0.7b
(/.f64 (*.f64 x 100) (+.f64 x y))
0.8b
(/.f64 1 (/.f64 (+.f64 x y) (*.f64 x 100)))
▶0.2b
(*.f64 x (/.f64 100 (+.f64 x y)))
Compiler

Compiled 940 to 486 computations (48.3% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 100 (+.f64 x y))
✓0.2b
(*.f64 x (/.f64 100 (+.f64 x y)))

series23.0ms (1.3%)

Counts
2 → 48
Calls

2 calls:

13.0ms
(*.f64 x (/.f64 100 (+.f64 x y)))
11.0ms
(/.f64 100 (+.f64 x y))

rewrite17.0ms (1%)

Algorithm
1×rewrite-expression-head
Rules
34×*-un-lft-identity_binary64
25×times-frac_binary64
25×add-sqr-sqrt_binary64
20×add-cube-cbrt_binary64
18×associate-*r*_binary64
Counts
2 → 74
Calls

2 calls:

10.0ms
(*.f64 x (/.f64 100 (+.f64 x y)))
4.0ms
(/.f64 100 (+.f64 x y))

simplify106.0ms (6%)

Algorithm
1×egg-herbie
Rules
600×fma-neg_binary64
515×times-frac_binary64
425×associate-/l*_binary64
355×associate-*l*_binary64
324×fma-def_binary64
Counts
122 → 113
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01612081
14171946
213531856
343941847
449841847
549661847

prune93.0ms (5.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1112113
Fresh314
Picked011
Done011
Total1145119
Error
0b
Counts
119 → 5
Alt Table
StatusErrorProgram
▶0.6b
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))
28.6b
(+.f64 100 (*.f64 (/.f64 100 x) (-.f64 (*.f64 y (/.f64 y x)) y)))
✓0.7b
(/.f64 (*.f64 x 100) (+.f64 x y))
35.2b
(*.f64 100 (-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4))))
✓0.2b
(*.f64 x (/.f64 100 (+.f64 x y)))
Compiler

Compiled 1848 to 979 computations (47% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.0b
(/.f64 (sqrt.f64 100) (+.f64 x y))
✓0.6b
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))

series22.0ms (1.2%)

Counts
2 → 48
Calls

2 calls:

12.0ms
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))
10.0ms
(/.f64 (sqrt.f64 100) (+.f64 x y))

rewrite26.0ms (1.5%)

Algorithm
1×rewrite-expression-head
Rules
60×*-un-lft-identity_binary64
48×times-frac_binary64
34×add-sqr-sqrt_binary64
34×add-cube-cbrt_binary64
30×associate-*r*_binary64
Counts
2 → 102
Calls

2 calls:

13.0ms
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))
5.0ms
(/.f64 (sqrt.f64 100) (+.f64 x y))

simplify136.0ms (7.8%)

Algorithm
1×egg-herbie
Rules
653×associate-/l*_binary64
581×times-frac_binary64
460×fma-neg_binary64
304×fma-def_binary64
281×associate-/r*_binary64
Counts
150 → 163
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01812588
14982417
218282330
345902321
449902321
549962321
649592321

prune98.0ms (5.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1630163
Fresh022
Picked011
Done022
Total1635168
Error
0b
Counts
168 → 5
Alt Table
StatusErrorProgram
✓0.6b
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))
▶28.6b
(+.f64 100 (*.f64 (/.f64 100 x) (-.f64 (*.f64 y (/.f64 y x)) y)))
✓0.7b
(/.f64 (*.f64 x 100) (+.f64 x y))
35.2b
(*.f64 100 (-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4))))
✓0.2b
(*.f64 x (/.f64 100 (+.f64 x y)))
Compiler

Compiled 3093 to 1828 computations (40.9% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(*.f64 y (/.f64 y x))
✓1.1b
(*.f64 (/.f64 100 x) (-.f64 (*.f64 y (/.f64 y x)) y))

series31.0ms (1.8%)

Counts
2 → 48
Calls

2 calls:

21.0ms
(*.f64 (/.f64 100 x) (-.f64 (*.f64 y (/.f64 y x)) y))
10.0ms
(*.f64 y (/.f64 y x))

rewrite19.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
32×add-sqr-sqrt_binary64
22×*-un-lft-identity_binary64
22×add-cube-cbrt_binary64
20×times-frac_binary64
16×associate-*r*_binary64
Counts
2 → 86
Calls

2 calls:

9.0ms
(*.f64 (/.f64 100 x) (-.f64 (*.f64 y (/.f64 y x)) y))
5.0ms
(*.f64 y (/.f64 y x))

simplify89.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
404×fma-def_binary64
359×fma-neg_binary64
263×associate-/r*_binary64
247×distribute-rgt-in_binary64
231×associate-*l*_binary64
Counts
134 → 125
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01942136
14411929
217551890
346201808
449641808

prune71.0ms (4.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1250125
Fresh011
Picked011
Done033
Total1255130
Error
0b
Counts
130 → 5
Alt Table
StatusErrorProgram
✓0.6b
(*.f64 (*.f64 x 10) (/.f64 (sqrt.f64 100) (+.f64 x y)))
✓28.6b
(+.f64 100 (*.f64 (/.f64 100 x) (-.f64 (*.f64 y (/.f64 y x)) y)))
✓0.7b
(/.f64 (*.f64 x 100) (+.f64 x y))
35.2b
(*.f64 100 (-.f64 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (fma.f64 (/.f64 x y) (/.f64 x y) (pow.f64 (/.f64 x y) 4))))
✓0.2b
(*.f64 x (/.f64 100 (+.f64 x y)))
Compiler

Compiled 2711 to 1245 computations (54.1% saved)

regimes221.0ms (12.6%)

Accuracy

Total 0.2b remaining (95.2%)

Threshold costs 0.2b (95.2%)

Counts
80 → 1
Compiler

Compiled 3985 to 2530 computations (36.5% saved)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×*-commutative_binary64
1×/-rgt-identity_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0910
11310
21210

end0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample525.0ms (29.9%)

Algorithm
1×intervals
Results
260.0ms8000×body128valid
Compiler

Compiled 92 to 58 computations (37% saved)

Profiling

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