Details

Time bar (total: 2.7s)

analyze93.0ms (3.5%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%50%50%3
25%25%50%4
37.5%12.5%50%5
43.7%6.2%50%6
46.9%3.1%50%7
48.4%1.6%50%8
49.2%0.8%50%9
49.6%0.4%50%10
49.8%0.2%50%11
49.9%0.1%50%12
49.9%0%50.1%13
49.9%0%50.1%14
Compiler

Compiled 21 to 16 computations (23.8% saved)

sample24.0ms (0.9%)

Algorithm
1×intervals
Results
17.0ms256×body128valid
Compiler

Compiled 42 to 32 computations (23.8% saved)

simplify81.0ms (3%)

Algorithm
1×egg-herbie
Rules
806×sub-neg_binary64
743×div-sub_binary64
502×associate-/l*_binary64
427×unsub-neg_binary64
423×distribute-rgt-in_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01529
13729
28229
318729
447129
584529
6123129
7256929
8287629
9425629
10503929

prune2.0ms (0.1%)

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 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
Compiler

Compiled 40 to 30 computations (25% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))

rewrite198.0ms (7.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
41×add-sqr-sqrt_binary64
26×associate-*l*_binary64
23×add-exp-log_binary64 add-cbrt-cube_binary64 *-un-lft-identity_binary64
22×add-cube-cbrt_binary64 times-frac_binary64
20×sqrt-prod_binary64
Counts
4 → 129
Calls

4 calls:

15.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
13.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
Compiler

Compiled 3697 to 2603 computations (29.6% saved)

series72.0ms (2.7%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

19.0ms
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
14.0ms
(*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
10.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
8.0ms
(*.f64 3 (*.f64 v v))
Compiler

Compiled 892 to 756 computations (15.2% saved)

simplify147.0ms (5.5%)

Algorithm
1×egg-herbie
Rules
535×distribute-rgt-in_binary64
496×distribute-lft-in_binary64
345×associate-*l*_binary64
316×associate-*r*_binary64
213×*-commutative_binary64
Counts
147 → 93
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02513844
16623514
221853504
345593504
449633504

prune98.0ms (3.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New91293
Fresh000
Picked011
Done000
Total91394
Error
0b
Counts
94 → 3
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
▶0.0b
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
1.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
Compiler

Compiled 2003 to 1506 computations (24.8% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
0.0b
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
0.2b
(*.f64 3 (*.f64 v v))

rewrite197.0ms (7.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
32×add-exp-log_binary64 add-cbrt-cube_binary64
22×add-sqr-sqrt_binary64
14×pow1_binary64
13×prod-exp_binary64 cbrt-unprod_binary64 sqrt-prod_binary64
12×associate-*r/_binary64
Counts
4 → 102
Calls

4 calls:

20.0ms
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
9.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
8.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
Compiler

Compiled 3518 to 2571 computations (26.9% saved)

series76.0ms (2.8%)

Error
0b
Counts
4 → 18
Calls

4 calls:

20.0ms
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
14.0ms
(*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))
13.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
10.0ms
(*.f64 3 (*.f64 v v))
Compiler

Compiled 1094 to 925 computations (15.4% saved)

simplify98.0ms (3.7%)

Algorithm
1×egg-herbie
Rules
683×distribute-rgt-in_binary64
647×distribute-lft-in_binary64
289×associate-*r*_binary64
276×times-frac_binary64
271×associate-*l*_binary64
Counts
120 → 65
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02153230
15972623
226442614
353152614

prune65.0ms (2.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh011
Picked011
Done011
Total65368
Error
0b
Counts
68 → 3
Alt Table
StatusErrorProgram
✓0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
✓0.0b
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
▶1.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
Compiler

Compiled 1492 to 1120 computations (24.9% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
0.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
0.2b
(*.f64 3 (*.f64 v v))
1.0b
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))

rewrite253.0ms (9.4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
82×sqrt-div_binary64
63×add-sqr-sqrt_binary64
58×frac-times_binary64
40×sqrt-prod_binary64
31×associate-*l/_binary64
Counts
4 → 159
Calls

4 calls:

26.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
22.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))
6.0ms
(*.f64 3 (*.f64 v v))
3.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
Compiler

Compiled 5925 to 4468 computations (24.6% saved)

series75.0ms (2.8%)

Error
0b
Counts
4 → 18
Calls

4 calls:

21.0ms
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
18.0ms
(*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4))))
12.0ms
(sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))
9.0ms
(*.f64 3 (*.f64 v v))
Compiler

Compiled 1032 to 896 computations (13.2% saved)

simplify152.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
688×distribute-rgt-in_binary64
642×distribute-lft-in_binary64
506×associate-*l*_binary64
482×associate-*r*_binary64
320×*-commutative_binary64
Counts
177 → 159
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03086267
18085169
225835015
349975015

prune149.0ms (5.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh000
Picked011
Done022
Total1593162
Error
0b
Counts
162 → 3
Alt Table
StatusErrorProgram
0.0b
(*.f64 (*.f64 (/.f64 (sqrt.f64 2) 4) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v))))) (-.f64 1 (*.f64 v v)))
0.0b
(/.f64 (*.f64 (-.f64 1 (pow.f64 v 4)) (*.f64 (sqrt.f64 2) (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))))) (*.f64 4 (+.f64 (*.f64 v v) 1)))
1.0b
(*.f64 (*.f64 (sqrt.f64 (/.f64 (sqrt.f64 2) 4)) (*.f64 (sqrt.f64 (-.f64 1 (*.f64 3 (*.f64 v v)))) (sqrt.f64 (/.f64 (sqrt.f64 2) 4)))) (-.f64 1 (*.f64 v v)))
Compiler

Compiled 3778 to 2918 computations (22.8% saved)

regimes168.0ms (6.3%)

Accuracy

Total 0.0b remaining (83.5%)

Threshold costs 0.0b (83.5%)

Compiler

Compiled 3036 to 2375 computations (21.8% saved)

simplify4.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
6×*-commutative_binary64
5×sub-neg_binary64 +-commutative_binary64
3×neg-mul-1_binary64 neg-sub0_binary64 cancel-sign-sub-inv_binary64 distribute-rgt-neg-in_binary64
2×distribute-lft-neg-in_binary64
1×1-exp_binary64 distribute-lft-neg-out_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01733
13333
24433
35033
45333
55133

end1.0ms (0%)

Compiler

Compiled 22 to 17 computations (22.7% saved)

sample683.0ms (25.5%)

Algorithm
1×intervals
Results
397.0ms8000×body128valid
0.0ms3×body128nan
Compiler

Compiled 117 to 91 computations (22.2% saved)

Profiling

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