Details

Time bar (total: 2.0s)

analyze26.0ms (1.3%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
62.5%37.5%0%4
81.2%18.7%0%5
90.6%9.4%0%6
95.3%4.7%0%7
97.6%2.3%0%8
98.8%1.2%0%9
99.4%0.6%0%10
99.7%0.3%0%11
99.8%0.1%0%12
99.9%0.1%0%13
99.9%0%0%14
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample28.0ms (1.4%)

Algorithm
1×intervals
Results
5.0ms62×body512valid
4.0ms140×body128valid
2.0ms41×body256valid
1.0ms13×body1024valid
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify13.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
15×sub-neg_binary64
14×cancel-sign-sub-inv_binary64
10×distribute-rgt-in_binary64
9×neg-mul-1_binary64
8×associate--r+_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11213
21813
32513
43213
54813
67013
77913
89113
99313
108713
117313

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
15.3b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶15.3b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 30 to 24 computations (20% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
3.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite88.0ms (4.3%)

Algorithm
1×rewrite-expression-head
Error
14.3b
Rules
55×*-un-lft-identity_binary64
46×add-sqr-sqrt_binary64
45×times-frac_binary64
22×add-cube-cbrt_binary64
13×cancel-sign-sub-inv_binary64
Counts
2 → 81
Calls

2 calls:

16.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
4.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 1218 to 980 computations (19.5% saved)

series27.0ms (1.3%)

Error
0.4b
Counts
2 → 21
Calls

2 calls:

9.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
9.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 455 to 364 computations (20% saved)

simplify170.0ms (8.4%)

Algorithm
1×egg-herbie
Rules
754×div-sub_binary64
526×associate-*l/_binary64
363×associate-/r*_binary64
348×distribute-rgt-in_binary64
276×distribute-lft-in_binary64
Counts
102 → 82
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01181477
12671439
25461415
315981403
445571403
545121403
649961403
748501403

prune26.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New79382
Fresh000
Picked101
Done000
Total80383
Error
0.3b
Counts
83 → 3
Alt Table
StatusErrorProgram
30.2b
(-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4))))
31.1b
(-.f64 (cbrt.f64 (pow.f64 (/.f64 1 (+.f64 x 1)) 3)) (/.f64 1 x))
▶0.4b
(/.f64 -1 (+.f64 x (*.f64 x x)))
Compiler

Compiled 622 to 479 computations (23% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x x))
0.3b
(/.f64 -1 (+.f64 x (*.f64 x x)))

rewrite81.0ms (4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
17×*-un-lft-identity_binary64
15×times-frac_binary64
12×add-sqr-sqrt_binary64
12×add-cube-cbrt_binary64
5×associate-/r*_binary64
Counts
2 → 50
Calls

2 calls:

3.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
2.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 715 to 306 computations (57.2% saved)

series20.0ms (1%)

Error
0.3b
Counts
2 → 17
Calls

2 calls:

10.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
7.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 293 to 235 computations (19.8% saved)

simplify75.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
535×times-frac_binary64
425×associate-/r*_binary64
384×div-sub_binary64
329×associate-/l/_binary64
234×associate-/l*_binary64
Counts
67 → 38
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021015
1208952
2495950
31339950
44219950
55112950

prune23.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New33538
Fresh202
Picked101
Done000
Total36541
Error
0.0b
Counts
41 → 5
Alt Table
StatusErrorProgram
39.7b
(*.f64 (/.f64 -1 (-.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 x (*.f64 x x)))
0.4b
(/.f64 1 (/.f64 x (/.f64 -1 (+.f64 x 1))))
▶0.1b
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
0.3b
(/.f64 -1 (*.f64 x (+.f64 x 1)))
39.0b
(/.f64 -1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))))
Compiler

Compiled 428 to 277 computations (35.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite83.0ms (4.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
43×add-sqr-sqrt_binary64
42×*-un-lft-identity_binary64
40×times-frac_binary64
26×add-cube-cbrt_binary64
26×add-exp-log_binary64
Counts
2 → 94
Calls

2 calls:

13.0ms
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
4.0ms
(/.f64 -1 (+.f64 x 1))
Compiler

Compiled 1476 to 1184 computations (19.8% saved)

series26.0ms (1.3%)

Error
0.0b
Counts
2 → 22
Calls

2 calls:

9.0ms
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
8.0ms
(/.f64 -1 (+.f64 x 1))
Compiler

Compiled 487 to 388 computations (20.3% saved)

simplify99.0ms (4.9%)

Algorithm
1×egg-herbie
Rules
586×times-frac_binary64
486×div-sub_binary64
352×associate-/l*_binary64
284×distribute-rgt-in_binary64
273×associate-*l/_binary64
Counts
116 → 88
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01481794
13581603
29641601
328611597
445771597
553711597

prune46.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New86288
Fresh224
Picked101
Done000
Total89493
Error
0b
Counts
93 → 4
Alt Table
StatusErrorProgram
5.4b
(*.f64 (/.f64 -1 (+.f64 (pow.f64 x 3) (neg.f64 x))) (-.f64 x 1))
▶0.1b
(/.f64 (/.f64 -1 x) (+.f64 x 1))
0.3b
(/.f64 -1 (*.f64 x (+.f64 x 1)))
39.0b
(/.f64 -1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))))
Compiler

Compiled 892 to 662 computations (25.8% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (/.f64 -1 x) (+.f64 x 1))

rewrite59.0ms (2.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
97×times-frac_binary64
78×*-un-lft-identity_binary64
50×add-sqr-sqrt_binary64
50×add-cube-cbrt_binary64
14×distribute-lft-out_binary64
Counts
1 → 86
Calls

1 calls:

6.0ms
(/.f64 (/.f64 -1 x) (+.f64 x 1))
Compiler

Compiled 1283 to 957 computations (25.4% saved)

series12.0ms (0.6%)

Error
0b
Counts
1 → 11
Calls

1 calls:

9.0ms
(/.f64 (/.f64 -1 x) (+.f64 x 1))
Compiler

Compiled 222 to 181 computations (18.5% saved)

simplify129.0ms (6.4%)

Algorithm
1×egg-herbie
Rules
509×div-sub_binary64
391×distribute-rgt-in_binary64
331×distribute-lft-in_binary64
322×associate-/r*_binary64
318×associate-/l/_binary64
Counts
97 → 57
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01742060
13901995
28681991
324501986
443071986
548841986
650331986

prune64.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh123
Picked011
Done000
Total57461
Error
0b
Counts
61 → 4
Alt Table
StatusErrorProgram
0.1b
(/.f64 (/.f64 -1 x) (+.f64 x 1))
5.4b
(*.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) x)) (-.f64 x 1))
0.3b
(/.f64 -1 (*.f64 x (+.f64 x 1)))
39.0b
(/.f64 -1 (/.f64 (-.f64 (*.f64 x x) (pow.f64 x 4)) (-.f64 x (*.f64 x x))))
Compiler

Compiled 495 to 357 computations (27.9% saved)

regimes199.0ms (9.8%)

Accuracy

Total 0.1b remaining (81.6%)

Threshold costs 0.1b (81.6%)

Compiler

Compiled 3504 to 2660 computations (24.1% saved)

simplify3.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11010
2910

end0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

sample712.0ms (35.1%)

Algorithm
1×intervals
Results
218.0ms2056×body512valid
146.0ms4520×body128valid
58.0ms992×body256valid
48.0ms432×body1024valid
Compiler

Compiled 64 to 46 computations (28.1% saved)

Profiling

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