Details

Time bar (total: 1.8s)

analyze24.0ms (1.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
100%0%0%2
Compiler

Compiled 9 to 6 computations (33.3% saved)

sample13.0ms (0.7%)

Algorithm
intervals
Results
5.0ms256×body128valid
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Rules
1-exp_binary64 +-commutative_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1910
2810

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
13.1b
Counts
1 → 1
Alt Table
StatusErrorProgram
13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))
Compiler

Compiled 16 to 10 computations (37.5% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))

rewrite39.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
13.1b
Rules
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 times-frac_binary64 *-un-lft-identity_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64 associate-/r*_binary64
associate-/r/_binary64
pow1_binary64 div-exp_binary64 add-log-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 clear-num_binary64 div-inv_binary64 flip3-+_binary64 flip-+_binary64
Counts
1 → 29
Calls

1 calls:

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

Compiled 461 to 236 computations (48.8% saved)

series22.0ms (1.2%)

Error
0.0b
Counts
1 → 12
Calls

1 calls:

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

Compiled 213 to 163 computations (23.5% saved)

simplify94.0ms (5.1%)

Algorithm
egg-herbie
Rules
363×cancel-sign-sub-inv_binary64
351×div-sub_binary64
331×times-frac_binary64
313×distribute-rgt-out_binary64
257×associate-/l*_binary64
Counts
41 → 33
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
078723
1181673
2446673
3992673
42848673
54577673
65088673

prune24.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New31233
Fresh000
Picked011
Done000
Total31334
Error
0b
Counts
34 → 3
Alt Table
StatusErrorProgram
13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))
13.2b
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) x))
32.7b
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
Compiler

Compiled 494 to 281 computations (43.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) x))
13.1b
(/.f64 (+.f64 1 (*.f64 x x)) x)

rewrite96.0ms (5.2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
84×times-frac_binary64
52×add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
16×associate-/r*_binary64
15×add-exp-log_binary64
add-cbrt-cube_binary64
Counts
2 → 105
Calls

2 calls:

7.0ms
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) x))
5.0ms
(/.f64 (+.f64 1 (*.f64 x x)) x)
Compiler

Compiled 2077 to 1251 computations (39.8% saved)

series37.0ms (2%)

Error
0b
Counts
2 → 18
Calls

2 calls:

17.0ms
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) x))
12.0ms
(/.f64 (+.f64 1 (*.f64 x x)) x)
Compiler

Compiled 287 to 219 computations (23.7% saved)

simplify163.0ms (8.8%)

Algorithm
egg-herbie
Rules
398×times-frac_binary64
393×div-sub_binary64
350×cancel-sign-sub-inv_binary64
317×sub-neg_binary64
295×distribute-rgt-in_binary64
Counts
123 → 77
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01482604
13462379
29882361
324572361
439632361
545022361
649732361

prune36.0ms (2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New77077
Fresh011
Picked011
Done011
Total77380
Error
0b
Counts
80 → 3
Alt Table
StatusErrorProgram
13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))
13.2b
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) x))
32.7b
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
Compiler

Compiled 881 to 520 computations (41% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
0.4b
(/.f64 1 (pow.f64 x 3))
0.4b
(/.f64 1 (pow.f64 x 5))
20.2b
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))

rewrite385.0ms (20.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
194×times-frac_binary64
165×add-sqr-sqrt_binary64
157×*-un-lft-identity_binary64
96×add-cube-cbrt_binary64
80×cancel-sign-sub-inv_binary64
Counts
4 → 287
Calls

4 calls:

81.0ms
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
35.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
5.0ms
(/.f64 1 (pow.f64 x 3))
4.0ms
(/.f64 1 (pow.f64 x 5))
Compiler

Compiled 5603 to 4501 computations (19.7% saved)

series52.0ms (2.8%)

Error
0b
Counts
4 → 19
Calls

4 calls:

16.0ms
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
12.0ms
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
10.0ms
(/.f64 1 (pow.f64 x 5))
8.0ms
(/.f64 1 (pow.f64 x 3))
Compiler

Compiled 498 to 403 computations (19.1% saved)

simplify231.0ms (12.5%)

Algorithm
egg-herbie
Rules
494×associate-/l/_binary64
258×log-div_binary64 distribute-rgt-in_binary64
245×distribute-lft-in_binary64
199×log-prod_binary64
195×cancel-sign-sub-inv_binary64
Counts
306 → 248
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02675037
15884725
219254585
344404585
449814585
551744585

prune70.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2480248
Fresh000
Picked011
Done022
Total2483251
Error
0b
Counts
251 → 3
Alt Table
StatusErrorProgram
13.1b
(/.f64 x (+.f64 (*.f64 x x) 1))
13.2b
(/.f64 1 (/.f64 (+.f64 1 (*.f64 x x)) x))
32.7b
(+.f64 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 5)))
Compiler

Compiled 1574 to 1231 computations (21.8% saved)

regimes98.0ms (5.3%)

Accuracy

Total 0.1b remaining (95.6%)

Threshold costs 0.1b (95.6%)

Compiler

Compiled 1050 to 680 computations (35.2% saved)

simplify3.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0610
1910
2810

end1.0ms (0%)

Compiler

Compiled 8 to 6 computations (25% saved)

sample427.0ms (23.2%)

Algorithm
intervals
Results
182.0ms8000×body128valid
Compiler

Compiled 52 to 38 computations (26.9% saved)

Profiling

Loading profile data...