Details

Time bar (total: 1.1s)

analyze1.0ms (0.1%)

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

Compiled 9 to 6 computations (33.3% saved)

sample30.0ms (2.8%)

Algorithm
1×intervals
Results
7.0ms256×body128valid
Compiler

Compiled 18 to 12 computations (33.3% saved)

simplify6.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1×+-commutative_binary64
1×1-exp_binary64
1×fma-def_binary64
Counts
1 → 2
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
068
1108
298

prune2.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New112
Fresh101
Picked000
Done000
Total213
Error
13.4b
Counts
3 → 1
Alt Table
StatusErrorProgram
▶13.4b
(/.f64 x (fma.f64 x x 1))
Compiler

Compiled 28 to 16 computations (42.9% saved)

localize8.0ms (0.7%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓13.4b
(/.f64 x (fma.f64 x x 1))

series3.0ms (0.3%)

Counts
1 → 12
Calls

1 calls:

3.0ms
(/.f64 x (fma.f64 x x 1))

rewrite3.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
9×*-un-lft-identity_binary64
9×times-frac_binary64
9×add-sqr-sqrt_binary64
9×add-cube-cbrt_binary64
3×associate-/r*_binary64
Counts
1 → 29
Calls

1 calls:

2.0ms
(/.f64 x (fma.f64 x x 1))

simplify60.0ms (5.7%)

Algorithm
1×egg-herbie
Rules
543×associate-/l*_binary64
513×div-sub_binary64
480×associate-/l/_binary64
388×fma-neg_binary64
289×distribute-rgt-in_binary64
Counts
41 → 48
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
072635
1147601
2366580
3807580
42019580
54600580
65498580

prune30.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New45348
Fresh000
Picked011
Done000
Total45449
Error
0b
Counts
49 → 4
Alt Table
StatusErrorProgram
▶13.4b
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
33.0b
(/.f64 1 x)
✓13.4b
(/.f64 x (fma.f64 x x 1))
30.8b
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 652 to 398 computations (39% saved)

localize4.0ms (0.4%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.2b
(/.f64 1 (fma.f64 x x 1))
✓13.2b
(*.f64 x (/.f64 1 (fma.f64 x x 1)))

series6.0ms (0.6%)

Counts
2 → 24
Calls

2 calls:

3.0ms
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
3.0ms
(/.f64 1 (fma.f64 x x 1))

rewrite13.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Rules
25×add-sqr-sqrt_binary64
20×times-frac_binary64
19×*-un-lft-identity_binary64
18×add-cube-cbrt_binary64
15×add-exp-log_binary64
Counts
2 → 71
Calls

2 calls:

7.0ms
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
2.0ms
(/.f64 1 (fma.f64 x x 1))

simplify126.0ms (12%)

Algorithm
1×egg-herbie
Rules
799×fma-neg_binary64
615×times-frac_binary64
519×fma-def_binary64
388×associate-/r*_binary64
307×associate-/l*_binary64
Counts
95 → 122
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01071278
12351173
26161127
315241125
441961125
548651125
649971125
749991125
849251125

prune78.0ms (7.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1220122
Fresh022
Picked011
Done011
Total1224126
Error
0b
Counts
126 → 4
Alt Table
StatusErrorProgram
✓13.4b
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
33.0b
(/.f64 1 x)
✓13.4b
(/.f64 x (fma.f64 x x 1))
▶30.8b
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 1753 to 1209 computations (31% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

NewErrorProgram
✓0.0b
(-.f64 x (pow.f64 x 3))

series3.0ms (0.3%)

Counts
1 → 3
Calls

1 calls:

3.0ms
(-.f64 x (pow.f64 x 3))

rewrite11.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
36×prod-diff_binary64
33×add-sqr-sqrt_binary64
29×*-un-lft-identity_binary64
26×add-cube-cbrt_binary64
13×cube-prod_binary64
Counts
1 → 70
Calls

1 calls:

6.0ms
(-.f64 x (pow.f64 x 3))

simplify91.0ms (8.6%)

Algorithm
1×egg-herbie
Rules
627×unswap-sqr_binary64
471×exp-prod_binary64
425×fma-neg_binary64
413×fma-def_binary64
375×cancel-sign-sub-inv_binary64
Counts
73 → 64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01161059
1166853
2637637
31845629
43952626
54991626
64558626

prune42.0ms (4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done022
Total64468
Error
0b
Counts
68 → 4
Alt Table
StatusErrorProgram
✓13.4b
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
▶33.0b
(/.f64 1 x)
✓13.4b
(/.f64 x (fma.f64 x x 1))
✓30.8b
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 1355 to 814 computations (39.9% saved)

localize2.0ms (0.2%)

prune2.0ms (0.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0b
Counts
4 → 4
Alt Table
StatusErrorProgram
✓13.4b
(*.f64 x (/.f64 1 (fma.f64 x x 1)))
✓33.0b
(/.f64 1 x)
✓13.4b
(/.f64 x (fma.f64 x x 1))
✓30.8b
(-.f64 x (pow.f64 x 3))
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes39.0ms (3.8%)

Accuracy

Total 0.0b remaining (73.9%)

Threshold costs 0.0b (73.9%)

Counts
7 → 3
Compiler

Compiled 100 to 64 computations (36% saved)

bsearch12.0ms (1.1%)

Steps
ItersRangePoint
5
10284924.943703864
113184379.11780067
105927142.50629535
1
-1.050144402233381e+67
-1.0494135128511067e+52
-3.3254608192918197e+59
Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0.2%)

Algorithm
1×egg-herbie
Rules
1×1-exp_binary64
1×if-if-or-not_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01326
11826
21726

end1.0ms (0.1%)

Compiler

Compiled 19 to 13 computations (31.6% saved)

sample471.0ms (44.8%)

Algorithm
1×intervals
Results
249.0ms8000×body128valid
Compiler

Compiled 55 to 37 computations (32.7% saved)

Profiling

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