Details

Time bar (total: 778.0ms)

analyze29.0ms (3.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample11.0ms (1.4%)

Algorithm
1×intervals
Results
5.0ms256×body128valid
Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify16.0ms (2.1%)

Algorithm
1×egg-herbie
Rules
30×distribute-rgt-in_binary64
22×sub-neg_binary64
19×unsub-neg_binary64
18×cancel-sign-sub-inv_binary64
17×distribute-lft-in_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11610
23210
35510
410810
513110
614510
720810
821710
921710
1021610
1116710

prune2.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.0b
Counts
1 → 1
Alt Table
StatusErrorProgram
▶0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.6%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))

rewrite28.0ms (3.6%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
5×add-sqr-sqrt_binary64
3×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-cube-cbrt_binary64 *-un-lft-identity_binary64 associate-*l*_binary64 associate-*r*_binary64
2×sub-neg_binary64 distribute-rgt-in_binary64 cancel-sign-sub-inv_binary64 distribute-lft-in_binary64 associate-*r/_binary64
1×pow-prod-down_binary64 prod-exp_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 flip3--_binary64 flip--_binary64 *-commutative_binary64
Counts
1 → 24
Calls

1 calls:

6.0ms
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Compiler

Compiled 323 to 242 computations (25.1% saved)

series15.0ms (1.9%)

Error
0b
Counts
1 → 6
Calls

1 calls:

11.0ms
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Compiler

Compiled 76 to 57 computations (25% saved)

simplify61.0ms (7.9%)

Algorithm
1×egg-herbie
Rules
706×distribute-rgt-in_binary64
623×distribute-lft-in_binary64
609×distribute-rgt-neg-out_binary64
447×distribute-neg-out_binary64
287×associate-*l*_binary64
Counts
30 → 23
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
056377
1131335
2377332
31118332
42836329
55224329

prune12.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New22123
Fresh000
Picked011
Done000
Total22224
Error
0b
Counts
24 → 2
Alt Table
StatusErrorProgram
▶0.0b
(-.f64 x (*.f64 1/2 (*.f64 x x)))
✓0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Compiler

Compiled 203 to 125 computations (38.4% saved)

localize4.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 1/2 (*.f64 x x))
0.0b
(-.f64 x (*.f64 1/2 (*.f64 x x)))

rewrite30.0ms (3.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
7×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 add-sqr-sqrt_binary64
3×add-cube-cbrt_binary64 *-un-lft-identity_binary64 pow-prod-down_binary64 prod-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64
1×diff-log_binary64 flip3--_binary64 sub-neg_binary64 flip--_binary64 cancel-sign-sub-inv_binary64 unswap-sqr_binary64 associate-*r*_binary64 *-commutative_binary64
Counts
2 → 31
Calls

2 calls:

5.0ms
(*.f64 1/2 (*.f64 x x))
5.0ms
(-.f64 x (*.f64 1/2 (*.f64 x x)))
Compiler

Compiled 392 to 214 computations (45.4% saved)

series20.0ms (2.5%)

Error
0b
Counts
2 → 9
Calls

2 calls:

11.0ms
(-.f64 x (*.f64 1/2 (*.f64 x x)))
7.0ms
(*.f64 1/2 (*.f64 x x))
Compiler

Compiled 124 to 93 computations (25% saved)

simplify107.0ms (13.7%)

Algorithm
1×egg-herbie
Rules
446×cancel-sign-sub-inv_binary64
395×unsub-neg_binary64
367×distribute-rgt-in_binary64
319×distribute-rgt-neg-in_binary64
313×distribute-lft-neg-in_binary64 associate-*l*_binary64
Counts
40 → 24
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
062447
1133408
2366404
31337404
43560404
54566404
64973404
74768404

prune10.0ms (1.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New24024
Fresh000
Picked011
Done011
Total24226
Error
0b
Counts
26 → 2
Alt Table
StatusErrorProgram
0.0b
(-.f64 x (*.f64 1/2 (*.f64 x x)))
0.0b
(*.f64 x (-.f64 1 (*.f64 x 1/2)))
Compiler

Compiled 163 to 104 computations (36.2% saved)

regimes40.0ms (5.2%)

Accuracy

Total 0.0b remaining (98.4%)

Threshold costs 0.0b (98.4%)

Compiler

Compiled 247 to 183 computations (25.9% saved)

simplify3.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
3×sub-neg_binary64 *-commutative_binary64 +-commutative_binary64
2×neg-mul-1_binary64 neg-sub0_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11410
22210
32610
42910
53010
62910

end1.0ms (0.1%)

Compiler

Compiled 8 to 6 computations (25% saved)

sample384.0ms (49.4%)

Algorithm
1×intervals
Results
161.0ms8000×body128valid
0.0ms1×body128invalid
Compiler

Compiled 34 to 25 computations (26.5% saved)

Profiling

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