Details

Time bar (total: 4.6s)

analyze221.0ms (4.8%)

Algorithm
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
50%50%0.1%5
50%50%0.1%6
62.4%34.3%3.2%7
62.4%32.8%4.8%8
68.7%21.1%10.2%9
68.7%19.1%12.2%10
71.8%11.5%16.7%11
71.8%10.2%18%12
73.4%6%20.6%13
73.4%5.3%21.3%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample30.0ms (0.7%)

Algorithm
intervals
Results
14.0ms256×body128valid
1.0ms15×body128invalid
Compiler

Compiled 21 to 15 computations (28.6% saved)

simplify20.0ms (0.4%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
associate-/r*_binary64
sub-neg_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11210
21310
31210

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
4.5b
Counts
2 → 1
Alt Table
StatusErrorProgram
4.5b
(-.f64 (/.f64 x (*.f64 y y)) 3)
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
10.4b
(/.f64 x (*.f64 y y))

rewrite30.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×add-cube-cbrt_binary64
add-exp-log_binary64
add-cbrt-cube_binary64
times-frac_binary64
pow1_binary64
Counts
1 → 46
Calls

1 calls:

26.0ms
(/.f64 x (*.f64 y y))

series70.0ms (1.5%)

Counts
1 → 24
Calls

1 calls:

69.0ms
(/.f64 x (*.f64 y y))

simplify91.0ms (2%)

Algorithm
egg-herbie
Rules
601×div-exp_binary64
576×prod-exp_binary64
512×times-frac_binary64
296×fma-def_binary64
253×*-commutative_binary64
Counts
70 → 112
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
052535
1113477
2338477
31777471
42743469
55277469

prune82.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1102112
Fresh000
Picked011
Done000
Total1103113
Error
0.0b
Counts
113 → 3
Alt Table
StatusErrorProgram
4.5b
(-.f64 (/.f64 x (*.f64 y y)) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
4.6b
(-.f64 (*.f64 x (pow.f64 y -2)) 3)
Compiler

Compiled 617 to 256 computations (58.5% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.2b
(/.f64 (/.f64 x y) y)

rewrite29.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
15×add-cube-cbrt_binary64
add-exp-log_binary64
add-cbrt-cube_binary64
times-frac_binary64
div-exp_binary64
Counts
1 → 46
Calls

1 calls:

25.0ms
(/.f64 (/.f64 x y) y)

series65.0ms (1.4%)

Counts
1 → 24
Calls

1 calls:

65.0ms
(/.f64 (/.f64 x y) y)

simplify137.0ms (3%)

Algorithm
egg-herbie
Rules
628×fma-def_binary64
455×fma-neg_binary64
383×associate-/l*_binary64
258×associate-/r*_binary64
253×associate-*l*_binary64
Counts
70 → 117
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
055562
1122514
2428508
32532498
44037498
54985498
64999498
74990498

prune61.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1161117
Fresh011
Picked011
Done011
Total1164120
Error
0.0b
Counts
120 → 4
Alt Table
StatusErrorProgram
4.5b
(-.f64 (/.f64 x (*.f64 y y)) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
4.6b
(-.f64 (*.f64 x (pow.f64 y -2)) 3)
0.1b
(-.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) 3)
Compiler

Compiled 773 to 292 computations (62.2% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.2b
(/.f64 y (/.f64 x y))
0.9b
(pow.f64 (/.f64 y (/.f64 x y)) -1)

rewrite97.0ms (2.1%)

Algorithm
rewrite-expression-head
Rules
24×add-cube-cbrt_binary64
13×add-exp-log_binary64
10×add-cbrt-cube_binary64
add-sqr-sqrt_binary64
pow1_binary64
Counts
2 → 89
Calls

2 calls:

24.0ms
(/.f64 y (/.f64 x y))
24.0ms
(pow.f64 (/.f64 y (/.f64 x y)) -1)

series166.0ms (3.6%)

Counts
2 → 48
Calls

2 calls:

108.0ms
(pow.f64 (/.f64 y (/.f64 x y)) -1)
57.0ms
(/.f64 y (/.f64 x y))

simplify121.0ms (2.6%)

Algorithm
egg-herbie
Rules
526×associate-/l*_binary64
513×associate-*l*_binary64
473×associate-*r*_binary64
337×associate-*l/_binary64
333×associate-/r*_binary64
Counts
137 → 236
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0921118
11871004
2677988
34513988
45048988

prune140.0ms (3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New2342236
Fresh011
Picked011
Done022
Total2346240
Error
0b
Counts
240 → 6
Alt Table
StatusErrorProgram
0.5b
(-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))) -1) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
4.5b
(-.f64 (/.f64 x (*.f64 y y)) 3)
34.7b
(-.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 y (/.f64 x y))) 2) -1) 3)
4.6b
(-.f64 (*.f64 x (pow.f64 y -2)) 3)
0.1b
(-.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) 3)
Compiler

Compiled 1735 to 792 computations (54.4% saved)

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.9b
(pow.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))) -1)
9.4b
(cbrt.f64 (/.f64 x y))
9.4b
(cbrt.f64 (/.f64 x y))
9.4b
(cbrt.f64 (/.f64 x y))

rewrite50.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
15×add-cube-cbrt_binary64
10×add-exp-log_binary64
add-sqr-sqrt_binary64
unpow-1_binary64
log1p-expm1-u_binary64
Counts
2 → 78
Calls

2 calls:

25.0ms
(pow.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))) -1)
17.0ms
(cbrt.f64 (/.f64 x y))

series1.4s (31.4%)

Counts
2 → 48
Calls

2 calls:

1.2s
(cbrt.f64 (/.f64 x y))
219.0ms
(pow.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))) -1)

simplify164.0ms (3.6%)

Algorithm
egg-herbie
Rules
470×fma-def_binary64
294×fma-neg_binary64
276×log-prod_binary64
271×times-frac_binary64
243×log-div_binary64
Counts
126 → 207
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01122023
12341035
2600936
32560894
44680894
54989894

prune248.0ms (5.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New4770477
Fresh022
Picked011
Done033
Total4776483
Error
0b
Counts
483 → 6
Alt Table
StatusErrorProgram
0.5b
(-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (cbrt.f64 y) (cbrt.f64 y)) (/.f64 (cbrt.f64 y) (cbrt.f64 (/.f64 x y)))) (*.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y)))) -1) 3)
0.1b
(-.f64 (/.f64 (/.f64 x y) y) 3)
4.5b
(-.f64 (/.f64 x (*.f64 y y)) 3)
34.7b
(-.f64 (pow.f64 (pow.f64 (sqrt.f64 (/.f64 y (/.f64 x y))) 2) -1) 3)
4.6b
(-.f64 (*.f64 x (pow.f64 y -2)) 3)
0.1b
(-.f64 (pow.f64 (/.f64 y (/.f64 x y)) -1) 3)
Compiler

Compiled 5181 to 1431 computations (72.4% saved)

regimes226.0ms (4.9%)

Accuracy

Total 0.1b remaining (82%)

Threshold costs 0.1b (82%)

Compiler

Compiled 1806 to 1110 computations (38.5% saved)

simplify6.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
21110
31010

end1.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample1.0s (22.4%)

Algorithm
intervals
Results
475.0ms8000×body128valid
26.0ms395×body128invalid
Compiler

Compiled 102 to 67 computations (34.3% saved)

Profiling

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