Details

Time bar (total: 9.3s)

analyze1.5s (16.7%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0100514
1100514
011
111
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
0%100%0%3
0%100%0%4
0%100%0%5
0%100%0%6
0%100%0%7
0%100%0%8
0%100%0%9
0%100%0%10
0%100%0%11
0%100%0%12
0%100%0%13
0.1%99.9%0%14
Compiler

Compiled 10 to 7 computations (30% saved)

sample199.0ms (2.1%)

Algorithm
intervals
Results
133.0ms64×body2048valid
30.0ms85×body1024valid
15.0ms63×body512valid
3.0ms28×body256valid
2.0msbody4096valid
1.0ms14×body128valid
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify78.0ms (0.8%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
0100514
1100514

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
30.4b
Counts
2 → 1
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
1.5b
(-.f64 x (sin.f64 x))
1.7b
(-.f64 x (tan.f64 x))

rewrite90.0ms (1%)

Algorithm
rewrite-expression-head
Error
29.5b
Rules
45×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
25×times-frac_binary64
17×add-cube-cbrt_binary64
14×difference-of-squares_binary64 distribute-lft-out--_binary64
add-log-exp_binary64
cancel-sign-sub-inv_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64 associate-/r*_binary64
flip3--_binary64 flip--_binary64
pow1_binary64
diff-log_binary64 sub-neg_binary64 associate-/l/_binary64 associate-/r/_binary64
div-exp_binary64 cbrt-undiv_binary64 frac-2neg_binary64 div-sub_binary64 clear-num_binary64 div-inv_binary64
Counts
3 → 84
Calls

3 calls:

8.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
5.0ms
(-.f64 x (tan.f64 x))
4.0ms
(-.f64 x (sin.f64 x))
Compiler

Compiled 1513 to 300 computations (80.2% saved)

series177.0ms (1.9%)

Error
0b
Counts
3 → 21
Calls

3 calls:

64.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
62.0ms
(-.f64 x (tan.f64 x))
34.0ms
(-.f64 x (sin.f64 x))
Compiler

Compiled 583 to 374 computations (35.8% saved)

simplify76.0ms (0.8%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
048881851
148881851

prune71.0ms (0.8%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New1032105
Fresh000
Picked101
Done000
Total1042106
Error
0b
Counts
106 → 2
Compiler

Compiled 1625 to 341 computations (79% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
0.0b
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
1.5b
(-.f64 x (sin.f64 x))
1.7b
(-.f64 x (tan.f64 x))

rewrite246.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
218×times-frac_binary64
202×add-sqr-sqrt_binary64 *-un-lft-identity_binary64
94×add-cube-cbrt_binary64
54×difference-of-squares_binary64 distribute-lft-out--_binary64
36×associate-/r*_binary64
17×add-exp-log_binary64
11×add-cbrt-cube_binary64 associate-/r/_binary64
add-log-exp_binary64 flip3--_binary64 flip--_binary64 div-exp_binary64 associate-/l*_binary64
cancel-sign-sub-inv_binary64 div-inv_binary64
pow1_binary64
cbrt-undiv_binary64
diff-log_binary64 sub-neg_binary64 frac-2neg_binary64 clear-num_binary64 associate-/l/_binary64 1-exp_binary64 rec-exp_binary64
div-sub_binary64 inv-pow_binary64 pow-flip_binary64
Counts
4 → 232
Calls

4 calls:

12.0ms
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
8.0ms
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
4.0ms
(-.f64 x (sin.f64 x))
4.0ms
(-.f64 x (tan.f64 x))
Compiler

Compiled 5463 to 1537 computations (71.9% saved)

series257.0ms (2.8%)

Error
0b
Counts
4 → 31
Calls

4 calls:

87.0ms
(/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x)))
66.0ms
(/.f64 1 (/.f64 (-.f64 x (tan.f64 x)) (-.f64 x (sin.f64 x))))
48.0ms
(-.f64 x (tan.f64 x))
31.0ms
(-.f64 x (sin.f64 x))
Compiler

Compiled 1143 to 743 computations (35% saved)

simplify123.0ms (1.3%)

Algorithm
egg-herbie
Counts
263 → 263
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
049786519
149786519

prune182.0ms (2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New2630263
Fresh011
Picked011
Done000
Total2632265
Error
0b
Counts
265 → 2
Compiler

Compiled 5243 to 1202 computations (77.1% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm
rewrite-expression-head
Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune1.0ms (0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done011
Total022
Error
0b
Counts
2 → 2
Compiler

Compiled 0 to 0 computations (0% saved)

regimes78.0ms (0.8%)

Accuracy

Total 0.5b remaining (73.3%)

Threshold costs 0.5b (73.3%)

Compiler

Compiled 417 to 227 computations (45.6% saved)

bsearch2.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03337
13337

end0.0ms (0%)

sample6.1s (65.9%)

Algorithm
intervals
Results
4.0s2039×body2048valid
1.0s2963×body1024valid
294.0ms1516×body512valid
102.0ms744×body256valid
94.0ms84×body4096valid
51.0ms654×body128valid
Compiler

Compiled 202 to 112 computations (44.6% saved)

Profiling

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