Details

Time bar (total: 2.4s)

analyze28.0ms (1.2%)

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)

sample30.0ms (1.2%)

Algorithm
1×intervals
Results
7.0ms56×body512valid
7.0ms151×body128valid
6.0ms39×body256valid
1.0ms10×body1024valid
Compiler

Compiled 22 to 18 computations (18.2% saved)

simplify27.0ms (1.1%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
14×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0713
11213
21813
32613
43413
55213
67713
79413
811113
912113
1012513
1112713
1211313

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
16.1b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶16.1b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
Compiler

Compiled 30 to 24 computations (20% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x 1))
4.0b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite162.0ms (6.7%)

Algorithm
1×rewrite-expression-head
Error
15.0b
Rules
32×add-cube-cbrt_binary64
10×add-sqr-sqrt_binary64
10×add-cbrt-cube_binary64
8×add-exp-log_binary64
8×pow1_binary64
Counts
2 → 101
Calls

2 calls:

26.0ms
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
13.0ms
(/.f64 1 (+.f64 x 1))
Compiler

Compiled 1965 to 1605 computations (18.3% saved)

series34.0ms (1.4%)

Error
0.4b
Counts
2 → 24
Calls

2 calls:

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

Compiled 508 to 403 computations (20.7% saved)

simplify116.0ms (4.7%)

Algorithm
1×egg-herbie
Rules
963×fma-neg_binary64
710×fma-def_binary64
463×associate-/l*_binary64
308×log-div_binary64
270×associate-/r*_binary64
Counts
125 → 77
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01551518
13721443
212311234
341141222
450621222

prune38.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New73477
Fresh000
Picked011
Done000
Total73578
Error
0.0b
Counts
78 → 5
Alt Table
StatusErrorProgram
✓16.1b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
▶0.1b
(/.f64 (/.f64 -1 (+.f64 x 1)) x)
36.7b
(/.f64 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -1 (fma.f64 x x x))) (/.f64 -1 (fma.f64 x x x)))
46.8b
(/.f64 (+.f64 0 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3)) (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -1 (fma.f64 x x x))))
32.9b
(+.f64 (fma.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 x) 1) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 5)))
Compiler

Compiled 886 to 587 computations (33.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite83.0ms (3.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
31×add-cube-cbrt_binary64
14×add-exp-log_binary64
14×add-cbrt-cube_binary64
8×times-frac_binary64
8×pow1_binary64
Counts
2 → 95
Calls

2 calls:

14.0ms
(/.f64 (/.f64 -1 (+.f64 x 1)) x)
13.0ms
(/.f64 -1 (+.f64 x 1))
Compiler

Compiled 1199 to 928 computations (22.6% saved)

series24.0ms (1%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

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

Compiled 470 to 365 computations (22.3% saved)

simplify80.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
739×fma-def_binary64
592×associate-/l*_binary64
478×associate-/r*_binary64
328×fma-neg_binary64
297×associate-/l/_binary64
Counts
119 → 64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01331337
13011198
210541184
344871184
451011184

prune35.0ms (1.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New62264
Fresh123
Picked011
Done011
Total63669
Error
0.0b
Counts
69 → 6
Alt Table
StatusErrorProgram
✓16.1b
(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
▶0.3b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
✓0.1b
(/.f64 (/.f64 -1 (+.f64 x 1)) x)
36.7b
(/.f64 (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -1 (fma.f64 x x x))) (/.f64 -1 (fma.f64 x x x)))
46.8b
(/.f64 (+.f64 0 (pow.f64 (/.f64 -1 (fma.f64 x x x)) 3)) (*.f64 (/.f64 -1 (fma.f64 x x x)) (/.f64 -1 (fma.f64 x x x))))
4.7b
(/.f64 (+.f64 (*.f64 x (/.f64 (neg.f64 x) (+.f64 1 (pow.f64 x 3)))) (/.f64 (neg.f64 (-.f64 1 x)) (+.f64 1 (pow.f64 x 3)))) x)
Compiler

Compiled 708 to 448 computations (36.7% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite106.0ms (4.3%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
31×add-cube-cbrt_binary64
17×pow1_binary64
16×add-exp-log_binary64
12×add-sqr-sqrt_binary64
12×add-cbrt-cube_binary64
Counts
2 → 103
Calls

2 calls:

31.0ms
(*.f64 x (-.f64 -1 x))
15.0ms
(/.f64 1 (*.f64 x (-.f64 -1 x)))
Compiler

Compiled 1566 to 968 computations (38.2% saved)

series22.0ms (0.9%)

Error
0.0b
Counts
2 → 18
Calls

2 calls:

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

Compiled 329 to 266 computations (19.1% saved)

simplify82.0ms (3.4%)

Algorithm
1×egg-herbie
Rules
710×fma-neg_binary64
585×fma-def_binary64
279×distribute-rgt-in_binary64
278×exp-prod_binary64
255×cancel-sign-sub-inv_binary64
Counts
121 → 84
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01491330
13601150
213851116
340111104
448831104

prune37.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New82284
Fresh303
Picked011
Done112
Total86490
Error
0b
Counts
90 → 4
Alt Table
StatusErrorProgram
▶1.3b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 x x x))) (cbrt.f64 (neg.f64 (fma.f64 x x x)))) (cbrt.f64 (neg.f64 (fma.f64 x x x)))))
✓0.3b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
✓0.1b
(/.f64 (/.f64 -1 (+.f64 x 1)) x)
4.7b
(+.f64 (/.f64 1 (*.f64 x (-.f64 -1 (pow.f64 x 3)))) (/.f64 (+.f64 -1 x) (-.f64 -1 (pow.f64 x 3))))
Compiler

Compiled 775 to 424 computations (45.3% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.4b
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 x x x))) (cbrt.f64 (neg.f64 (fma.f64 x x x))))
13.4b
(cbrt.f64 (neg.f64 (fma.f64 x x x)))
13.4b
(cbrt.f64 (neg.f64 (fma.f64 x x x)))
13.4b
(cbrt.f64 (neg.f64 (fma.f64 x x x)))

rewrite90.0ms (3.7%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
28×add-cube-cbrt_binary64
27×pow1/3_binary64
17×add-sqr-sqrt_binary64
12×add-exp-log_binary64
12×log1p-expm1-u_binary64
Counts
4 → 132
Calls

4 calls:

15.0ms
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 x x x))) (cbrt.f64 (neg.f64 (fma.f64 x x x))))
11.0ms
(cbrt.f64 (neg.f64 (fma.f64 x x x)))
10.0ms
(cbrt.f64 (neg.f64 (fma.f64 x x x)))
9.0ms
(cbrt.f64 (neg.f64 (fma.f64 x x x)))
Compiler

Compiled 2568 to 484 computations (81.2% saved)

series195.0ms (8%)

Error
0b
Counts
4 → 44
Calls

4 calls:

50.0ms
(*.f64 (cbrt.f64 (neg.f64 (fma.f64 x x x))) (cbrt.f64 (neg.f64 (fma.f64 x x x))))
46.0ms
(cbrt.f64 (neg.f64 (fma.f64 x x x)))
38.0ms
(cbrt.f64 (neg.f64 (fma.f64 x x x)))
37.0ms
(cbrt.f64 (neg.f64 (fma.f64 x x x)))
Compiler

Compiled 3032 to 2191 computations (27.7% saved)

simplify98.0ms (4%)

Algorithm
1×egg-herbie
Rules
573×associate-*l*_binary64
523×distribute-rgt-neg-in_binary64
501×associate-*r*_binary64
468×fma-neg_binary64
328×fma-def_binary64
Counts
176 → 93
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01192825
13012555
28482381
332242328
449032328

prune37.0ms (1.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New93093
Fresh011
Picked011
Done022
Total93497
Error
0b
Counts
97 → 4
Alt Table
StatusErrorProgram
1.3b
(/.f64 1 (*.f64 (*.f64 (cbrt.f64 (neg.f64 (fma.f64 x x x))) (cbrt.f64 (neg.f64 (fma.f64 x x x)))) (cbrt.f64 (neg.f64 (fma.f64 x x x)))))
0.3b
(/.f64 1 (*.f64 x (-.f64 -1 x)))
0.1b
(/.f64 (/.f64 -1 (+.f64 x 1)) x)
4.7b
(+.f64 (/.f64 1 (*.f64 x (-.f64 -1 (pow.f64 x 3)))) (/.f64 (+.f64 -1 x) (-.f64 -1 (pow.f64 x 3))))
Compiler

Compiled 1708 to 720 computations (57.8% saved)

regimes206.0ms (8.4%)

Accuracy

Total 0.1b remaining (83.4%)

Threshold costs 0.1b (83.4%)

Compiler

Compiled 3264 to 2526 computations (22.6% saved)

simplify4.0ms (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)

sample873.0ms (35.8%)

Algorithm
1×intervals
Results
225.0ms4570×body128valid
193.0ms1954×body512valid
163.0ms1062×body256valid
51.0ms414×body1024valid
Compiler

Compiled 79 to 52 computations (34.2% saved)

Profiling

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