Details

Time bar (total: 9.4s)

analyze1.4s (14.3%)

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)

sample193.0ms (2%)

Algorithm
intervals
Results
120.0ms54×body2048valid
45.0ms110×body1024valid
9.0ms43×body512valid
4.0ms25×body256valid
3.0msbody4096valid
2.0ms22×body128valid
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify221.0ms (2.3%)

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: 30.3b

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)))
2.7b
(-.f64 x (tan.f64 x))
2.7b
(-.f64 x (sin.f64 x))

rewrite34.0ms (0.4%)

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:

16.0ms
(/.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))

series277.0ms (2.9%)

Counts
3 → 9
Calls

3 calls:

116.0ms
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
106.0ms
(-.f64 x (tan.f64 x))
55.0ms
(-.f64 x (sin.f64 x))

simplify101.0ms (1.1%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
048451797
148451797

prune73.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh000
Picked011
Done000
Total85388

Merged error: 0b

Counts
88 → 3
Compiler

Compiled 1543 to 314 computations (79.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.7b
(-.f64 x (tan.f64 x))
2.7b
(-.f64 x (sin.f64 x))
2.7b
(-.f64 x (sin.f64 x))
2.7b
(-.f64 x (sin.f64 x))

rewrite22.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64 add-log-exp_binary64 add-sqr-sqrt_binary64
sub-neg_binary64 pow1_binary64 flip3--_binary64 diff-log_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 flip--_binary64
Counts
4 → 52
Calls

4 calls:

4.0ms
(-.f64 x (sin.f64 x))
4.0ms
(-.f64 x (sin.f64 x))
4.0ms
(-.f64 x (sin.f64 x))
4.0ms
(-.f64 x (tan.f64 x))

series230.0ms (2.4%)

Counts
4 → 12
Calls

4 calls:

105.0ms
(-.f64 x (tan.f64 x))
46.0ms
(-.f64 x (sin.f64 x))
40.0ms
(-.f64 x (sin.f64 x))
39.0ms
(-.f64 x (sin.f64 x))

simplify76.0ms (0.8%)

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05011778

prune73.0ms (0.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done011
Total64367

Merged error: 0b

Counts
67 → 3
Compiler

Compiled 2595 to 353 computations (86.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b
(*.f64 (*.f64 x x) 9/40)
0.1b
(*.f64 27/2800 (pow.f64 x 4))
18.8b
(-.f64 (*.f64 (*.f64 x x) 9/40) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))

rewrite26.0ms (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))))
8.0ms
(*.f64 27/2800 (pow.f64 x 4))
6.0ms
(*.f64 (*.f64 x x) 9/40)

series150.0ms (1.6%)

Counts
3 → 9
Calls

3 calls:

61.0ms
(*.f64 27/2800 (pow.f64 x 4))
48.0ms
(-.f64 (*.f64 (*.f64 x x) 9/40) (+.f64 1/2 (*.f64 27/2800 (pow.f64 x 4))))
42.0ms
(*.f64 (*.f64 x x) 9/40)

simplify37.0ms (0.4%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
04833850
14833850

prune66.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New66066
Fresh000
Picked011
Done022
Total66369

Merged error: 0b

Counts
69 → 3
Compiler

Compiled 1144 to 836 computations (26.9% saved)

regimes68.0ms (0.7%)

Compiler

Compiled 424 to 240 computations (43.4% saved)

bsearch54.0ms (0.6%)

Steps
ItersRangePoint
10
6.797883803840714e-07
508494.9946227883
0.029376914368532816
9
-2720.4178659984177
-8.181101991936199e-07
-0.028311968525913885
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%)

sample6.3s (67.2%)

Algorithm
intervals
Results
4.0s2022×body2048valid
1.3s3074×body1024valid
316.0ms1426×body512valid
134.0ms105×body4096valid
111.0ms755×body256valid
52.0ms618×body128valid
Compiler

Compiled 243 to 144 computations (40.7% saved)

Profiling

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