Details

Time bar (total: 9.2s)

analyze1.4s (14.9%)

Algorithm
search
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)

sample187.0ms (2%)

Algorithm
intervals
Results
112.0ms66×body2048valid
46.0ms97×body1024valid
11.0ms51×body512valid
4.0ms26×body256valid
3.0msbody4096valid
1.0ms14×body128valid
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify239.0ms (2.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
099014
199014

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 31.8b

Counts
2 → 1
Compiler

Compiled 18 to 12 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
1.1b
(-.f64 x (tan.f64 x))
1.1b
(-.f64 x (sin.f64 x))

rewrite26.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
25×times-frac_binary64
15×add-cube-cbrt_binary64
14×difference-of-squares_binary64 distribute-lft-out--_binary64
add-log-exp_binary64
associate-/r*_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64
flip3--_binary64 flip--_binary64
pow1_binary64
associate-/l/_binary64 sub-neg_binary64 diff-log_binary64 associate-/r/_binary64
cbrt-undiv_binary64 div-sub_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
3 → 78
Calls

3 calls:

9.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms
(-.f64 x (sin.f64 x))
4.0ms
(-.f64 x (tan.f64 x))

series275.0ms (3%)

Counts
3 → 9
Calls

3 calls:

110.0ms
(-.f64 x (tan.f64 x))
108.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
56.0ms
(-.f64 x (sin.f64 x))

simplify102.0ms (1.1%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
048451797
148451797

prune70.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh000
Picked011
Done000
Total86288

Merged error: 0b

Counts
88 → 2
Compiler

Compiled 1508 to 302 computations (80% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 27/2800 (pow.f64 x 4))
0.1b
(*.f64 (*.f64 x x) 9/40)
14.6b
(-.f64 (*.f64 (*.f64 x x) 9/40) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))

rewrite24.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
13×add-exp-log_binary64 add-sqr-sqrt_binary64
10×associate-*r*_binary64 add-cbrt-cube_binary64
add-log-exp_binary64 pow1_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
prod-exp_binary64
cbrt-unprod_binary64 associate-*l*_binary64 unswap-sqr_binary64 unpow-prod-down_binary64
pow-prod-down_binary64
diff-log_binary64 sqr-pow_binary64 *-commutative_binary64
pow-to-exp_binary64 sub-neg_binary64 associate--r+_binary64 flip3--_binary64 flip--_binary64 pow-exp_binary64 sum-log_binary64
Counts
3 → 57
Calls

3 calls:

8.0ms
(-.f64 (*.f64 (*.f64 x x) 9/40) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
6.0ms
(*.f64 (*.f64 x x) 9/40)
6.0ms
(*.f64 27/2800 (pow.f64 x 4))

series133.0ms (1.4%)

Counts
3 → 9
Calls

3 calls:

51.0ms
(-.f64 (*.f64 (*.f64 x x) 9/40) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
47.0ms
(*.f64 27/2800 (pow.f64 x 4))
35.0ms
(*.f64 (*.f64 x x) 9/40)

simplify40.0ms (0.4%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
04833850
14833850

prune67.0ms (0.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh000
Picked011
Done011
Total66268

Merged error: 0b

Counts
68 → 2
Compiler

Compiled 1144 to 836 computations (26.9% saved)

regimes29.0ms (0.3%)

Compiler

Compiled 64 to 48 computations (25% saved)

bsearch57.0ms (0.6%)

Steps
ItersRangePoint
10
8.784557057914345e-16
1440.3845110810632
0.029936191500206034
10
-9.941859194191408e+16
-0.007378193027913952
-0.025873405079449158
Compiler

Compiled 1 to 1 computations (0% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08847
18847

end0.0ms (0%)

sample6.5s (71.2%)

Algorithm
intervals
Results
4.4s2047×body2048valid
1.2s2936×body1024valid
320.0ms1488×body512valid
154.0ms114×body4096valid
122.0ms785×body256valid
58.0ms630×body128valid
Compiler

Compiled 63 to 48 computations (23.8% saved)

Profiling

Loading profile data...