Details

Time bar (total: 2.2s)

analyze55.0ms (2.5%)

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)

sample19.0ms (0.9%)

Algorithm
1×intervals
Results
5.0ms65×body512valid
5.0ms148×body128valid
2.0ms35×body256valid
1.0ms8×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
13.0b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶13.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 30 to 24 computations (20% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.6b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite46.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Error
12.0b
Rules
37×*-un-lft-identity_binary64
36×add-sqr-sqrt_binary64
33×times-frac_binary64
13×cancel-sign-sub-inv_binary64
12×add-cube-cbrt_binary64
Counts
1 → 44
Calls

1 calls:

15.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 721 to 570 computations (20.9% saved)

series19.0ms (0.9%)

Error
0.6b
Counts
1 → 12
Calls

1 calls:

12.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 233 to 189 computations (18.9% saved)

simplify172.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
557×associate-/l*_binary64
449×sub-neg_binary64
425×unsub-neg_binary64
337×cancel-sign-sub-inv_binary64
328×associate-/r*_binary64
Counts
56 → 52
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
091969
1218933
2466921
31390921
44051921
54523921
64689921
74116921
84862921
94936921
104783921

prune20.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New50252
Fresh000
Picked011
Done000
Total50353
Error
0.6b
Counts
53 → 3
Alt Table
StatusErrorProgram
▶0.6b
(/.f64 -1 (+.f64 x (*.f64 x x)))
✓13.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
32.6b
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 5)))
Compiler

Compiled 416 to 320 computations (23.1% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 x x))
0.6b
(/.f64 -1 (+.f64 x (*.f64 x x)))

rewrite35.0ms (1.6%)

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)

series50.0ms (2.3%)

Error
0.6b
Counts
2 → 18
Calls

2 calls:

37.0ms
(+.f64 x (*.f64 x x))
8.0ms
(/.f64 -1 (+.f64 x (*.f64 x x)))
Compiler

Compiled 304 to 243 computations (20.1% saved)

simplify76.0ms (3.5%)

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

prune20.0ms (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
49.8b
(/.f64 -1 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 x 6)) (+.f64 (*.f64 x x) (-.f64 (pow.f64 x 4) (pow.f64 x 3)))))
32.1b
(/.f64 -1 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) 3)))
32.6b
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 5)))
▶0.1b
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
Compiler

Compiled 453 to 305 computations (32.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite56.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
33×add-sqr-sqrt_binary64
28×times-frac_binary64
24×*-un-lft-identity_binary64
23×add-exp-log_binary64
18×associate-*r*_binary64
Counts
1 → 61
Calls

1 calls:

12.0ms
(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
Compiler

Compiled 1008 to 798 computations (20.8% saved)

series13.0ms (0.6%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

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

Compiled 233 to 189 computations (18.9% saved)

simplify82.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
579×times-frac_binary64
421×div-sub_binary64
348×associate-/l*_binary64
275×associate-*l/_binary64
269×distribute-rgt-in_binary64
Counts
73 → 67
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01271205
13271046
28991044
326941040
444761040
551561040

prune36.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New64367
Fresh213
Picked101
Done000
Total67471
Error
0.0b
Counts
71 → 4
Alt Table
StatusErrorProgram
4.8b
(*.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 (/.f64 (/.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -1)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) x) (/.f64 (cbrt.f64 -1) (cbrt.f64 (+.f64 x 1))))
32.6b
(+.f64 (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))) (/.f64 1 (pow.f64 x 5)))
Compiler

Compiled 770 to 583 computations (24.3% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite102.0ms (4.7%)

Algorithm
1×rewrite-expression-head
Error
0.0b
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)

series39.0ms (1.8%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

36.0ms
(/.f64 (/.f64 -1 x) (+.f64 x 1))
Compiler

Compiled 233 to 189 computations (18.9% saved)

simplify193.0ms (8.9%)

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

prune30.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New56258
Fresh213
Picked011
Done000
Total58462
Error
0.0b
Counts
62 → 4
Alt Table
StatusErrorProgram
4.8b
(*.f64 (/.f64 -1 (-.f64 (pow.f64 x 3) x)) (-.f64 x 1))
0.1b
(/.f64 (/.f64 -1 x) (+.f64 x 1))
0.6b
(/.f64 1 (neg.f64 (+.f64 x (*.f64 x x))))
0.3b
(*.f64 (/.f64 (/.f64 (*.f64 (cbrt.f64 -1) (cbrt.f64 -1)) (*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))) x) (/.f64 (cbrt.f64 -1) (cbrt.f64 (+.f64 x 1))))
Compiler

Compiled 517 to 376 computations (27.3% saved)

regimes290.0ms (13.3%)

Accuracy

Total 0.1b remaining (83.3%)

Threshold costs 0.1b (83.3%)

Compiler

Compiled 4374 to 3274 computations (25.1% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0810
11210
21110

end0.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

sample790.0ms (36.2%)

Algorithm
1×intervals
Results
180.0ms4616×body128valid
179.0ms2007×body512valid
101.0ms953×body256valid
51.0ms424×body1024valid
Compiler

Compiled 75 to 59 computations (21.3% saved)

Profiling

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