Details

Time bar (total: 2.1s)

analyze95.0ms (4.6%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0%14
Compiler

Compiled 15 to 11 computations (26.7% saved)

sample24.0ms (1.1%)

Algorithm
1×intervals
Results
8.0ms70×body1024valid
4.0ms131×body128valid
3.0ms36×body512valid
1.0ms16×body256valid
0.0ms3×body2048valid
Compiler

Compiled 30 to 22 computations (26.7% saved)

simplify79.0ms (3.8%)

Algorithm
1×egg-herbie
Rules
335×div-sub_binary64
178×associate-/l*_binary64
162×sub-neg_binary64
146×times-frac_binary64
139×cancel-sign-sub-inv_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
11619
22219
33319
45519
58519
616519
724219
853819
957819
1065819
1183519
1278019
1377019
1476419
1576619
1676819
1777019
1877019
1968119

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
30.1b
Counts
1 → 1
Alt Table
StatusErrorProgram
▶30.1b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 28 to 20 computations (28.6% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (+.f64 x 1))
2.3b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))

rewrite171.0ms (8.2%)

Algorithm
1×rewrite-expression-head
Error
29.6b
Rules
103×*-un-lft-identity_binary64
60×times-frac_binary64
51×add-sqr-sqrt_binary64
34×cancel-sign-sub-inv_binary64
23×add-cube-cbrt_binary64
Counts
2 → 92
Calls

2 calls:

44.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
6.0ms
(/.f64 x (+.f64 x 1))
Compiler

Compiled 1601 to 1154 computations (27.9% saved)

series47.0ms (2.2%)

Error
0.0b
Counts
2 → 23
Calls

2 calls:

17.0ms
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
14.0ms
(/.f64 x (+.f64 x 1))
Compiler

Compiled 565 to 451 computations (20.2% saved)

simplify106.0ms (5.1%)

Algorithm
1×egg-herbie
Rules
483×times-frac_binary64
469×associate-/l*_binary64
439×div-sub_binary64
334×associate-*l/_binary64
253×distribute-rgt-in_binary64
Counts
115 → 103
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01992268
15192163
216011917
340401917
451191917

prune47.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh000
Picked011
Done000
Total1022104
Error
0.0b
Counts
104 → 2
Alt Table
StatusErrorProgram
▶31.8b
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
✓30.1b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 1133 to 789 computations (30.4% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b
(/.f64 1 (pow.f64 x 4))
0.5b
(/.f64 1 (*.f64 x x))
0.6b
(/.f64 3 (pow.f64 x 3))
8.8b
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))

rewrite238.0ms (11.4%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
62×times-frac_binary64
54×*-un-lft-identity_binary64
47×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
29×add-exp-log_binary64
24×unpow-prod-down_binary64
Counts
4 → 165
Calls

4 calls:

52.0ms
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
6.0ms
(/.f64 3 (pow.f64 x 3))
5.0ms
(/.f64 1 (*.f64 x x))
5.0ms
(/.f64 1 (pow.f64 x 4))
Compiler

Compiled 3964 to 2937 computations (25.9% saved)

series52.0ms (2.5%)

Error
0.0b
Counts
4 → 15
Calls

4 calls:

17.0ms
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4)))
10.0ms
(/.f64 3 (pow.f64 x 3))
9.0ms
(/.f64 1 (pow.f64 x 4))
8.0ms
(/.f64 1 (*.f64 x x))
Compiler

Compiled 684 to 533 computations (22.1% saved)

simplify112.0ms (5.4%)

Algorithm
1×egg-herbie
Rules
648×associate-*l/_binary64
480×associate-/l/_binary64
435×unswap-sqr_binary64
372×associate-/r/_binary64
276×log-div_binary64
Counts
180 → 133
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01902147
13372017
212221932
347711932
450341932

prune64.0ms (3.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done011
Total1332135
Error
0.0b
Counts
135 → 2
Alt Table
StatusErrorProgram
31.8b
(-.f64 (-.f64 (/.f64 -3 x) (/.f64 1 (*.f64 x x))) (+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 4))))
30.1b
(-.f64 (/.f64 x (+.f64 x 1)) (/.f64 (+.f64 x 1) (-.f64 x 1)))
Compiler

Compiled 1494 to 1074 computations (28.1% saved)

regimes196.0ms (9.4%)

Accuracy

Total 0.1b remaining (64.9%)

Threshold costs 0.1b (64.9%)

Compiler

Compiled 2230 to 1674 computations (24.9% saved)

bsearch2.0ms (0.1%)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Rules
14×+-commutative_binary64
12×sub-neg_binary64
7×neg-mul-1_binary64 neg-sub0_binary64 *-commutative_binary64
4×distribute-neg-in_binary64
3×unsub-neg_binary64 distribute-neg-frac_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02989
14389
26189
38089
49289
59789
69889
79589

end2.0ms (0.1%)

Compiler

Compiled 60 to 45 computations (25% saved)

sample822.0ms (39.5%)

Algorithm
1×intervals
Results
230.0ms1916×body1024valid
148.0ms4372×body128valid
93.0ms1018×body512valid
31.0ms210×body2048valid
29.0ms484×body256valid
Compiler

Compiled 112 to 84 computations (25% saved)

Profiling

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