Details

Time bar (total: 2.1s)

analyze27.0ms (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)

sample23.0ms (1.1%)

Algorithm
1×intervals
Results
5.0ms57×body512valid
5.0ms156×body128valid
2.0ms15×body1024valid
2.0ms28×body256valid
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
12.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶12.1b
(-.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))
1.2b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite108.0ms (5.2%)

Algorithm
1×rewrite-expression-head
Error
11.4b
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)

series32.0ms (1.5%)

Error
0.4b
Counts
2 → 24
Calls

2 calls:

11.0ms
(/.f64 1 (+.f64 x 1))
10.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 508 to 403 computations (20.7% saved)

simplify128.0ms (6.1%)

Algorithm
1×egg-herbie
Rules
693×div-sub_binary64
363×associate-/r*_binary64
358×distribute-rgt-in_binary64
284×distribute-lft-in_binary64
235×associate-/l/_binary64
Counts
105 → 85
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231519
12871481
26131457
317911454
444601454
545871454
648621454

prune28.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh000
Picked011
Done000
Total83386
Error
0.4b
Counts
86 → 3
Alt Table
StatusErrorProgram
✓12.1b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
33.0b
(/.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x 1))) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))
▶0.4b
(/.f64 -1 (+.f64 x (*.f64 x x)))
Compiler

Compiled 661 to 501 computations (24.2% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x x))
0.4b
(/.f64 -1 (+.f64 x (*.f64 x x)))

rewrite38.0ms (1.8%)

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:

4.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
2.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 715 to 306 computations (57.2% saved)

series21.0ms (1%)

Error
0.4b
Counts
2 → 18
Calls

2 calls:

11.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
7.0ms
(+.f64 x (*.f64 x x))
Compiler

Compiled 304 to 243 computations (20.1% saved)

simplify84.0ms (4%)

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
68 → 39
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01041031
1216968
2515966
31382966
44259966
55152966

prune19.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New36339
Fresh011
Picked101
Done101
Total38442
Error
0.0b
Counts
42 → 4
Alt Table
StatusErrorProgram
▶0.1b
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
33.0b
(/.f64 (+.f64 (/.f64 -1 (*.f64 x x)) (/.f64 (/.f64 1 (+.f64 x 1)) (+.f64 x 1))) (+.f64 (/.f64 1 x) (/.f64 1 (+.f64 x 1))))
0.4b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
43.0b
(*.f64 (/.f64 -1 (-.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 x (*.f64 x x)))
Compiler

Compiled 439 to 289 computations (34.2% saved)

localize5.0ms (0.3%)

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)))

rewrite109.0ms (5.2%)

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:

12.0ms
(*.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)

series27.0ms (1.3%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

10.0ms
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
9.0ms
(/.f64 -1 (+.f64 x 1))
Compiler

Compiled 513 to 407 computations (20.7% saved)

simplify107.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
586×times-frac_binary64
484×div-sub_binary64
352×associate-/l*_binary64
284×distribute-rgt-in_binary64
273×associate-*l/_binary64
Counts
118 → 90
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01511826
13721635
210081633
329751626
444301626
552221626

prune42.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New87390
Fresh123
Picked101
Done000
Total89594
Error
0b
Counts
94 → 5
Alt Table
StatusErrorProgram
30.1b
(*.f64 (sqrt.f64 (/.f64 1 x)) (/.f64 (neg.f64 (sqrt.f64 (/.f64 1 x))) (+.f64 x 1)))
▶0.1b
(/.f64 (/.f64 -1 x) (+.f64 x 1))
0.4b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
43.0b
(*.f64 (/.f64 -1 (-.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 x (*.f64 x x)))
3.8b
(*.f64 (/.f64 -1 (+.f64 (pow.f64 x 3) (neg.f64 x))) (-.f64 x 1))
Compiler

Compiled 946 to 700 computations (26% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite59.0ms (2.8%)

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)

series41.0ms (2%)

Error
0b
Counts
1 → 12
Calls

1 calls:

38.0ms
(/.f64 (/.f64 -1 x) (+.f64 x 1))
Compiler

Compiled 233 to 189 computations (18.9% saved)

simplify140.0ms (6.7%)

Algorithm
1×egg-herbie
Rules
513×div-sub_binary64
391×distribute-rgt-in_binary64
332×distribute-lft-in_binary64
322×associate-/r*_binary64
318×associate-/l/_binary64
Counts
98 → 58
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01762076
13982011
28922007
325142002
443932002
549742002
649092002

prune23.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New56258
Fresh314
Picked011
Done000
Total59463
Error
0b
Counts
63 → 4
Alt Table
StatusErrorProgram
0.1b
(/.f64 (/.f64 -1 x) (+.f64 x 1))
0.4b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
3.8b
(*.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) x)) (-.f64 x 1))
30.1b
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 -1 (sqrt.f64 x)) (+.f64 x 1)))
Compiler

Compiled 504 to 364 computations (27.8% saved)

regimes248.0ms (11.9%)

Accuracy

Total 0.1b remaining (85.4%)

Threshold costs 0.1b (85.4%)

Compiler

Compiled 3485 to 2725 computations (21.8% saved)

simplify3.0ms (0.1%)

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)

sample742.0ms (35.6%)

Algorithm
1×intervals
Results
185.0ms2018×body512valid
152.0ms4592×body128valid
60.0ms981×body256valid
49.0ms409×body1024valid
Compiler

Compiled 62 to 47 computations (24.2% saved)

Profiling

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