Details

Time bar (total: 2.4s)

analyze334.0ms (14.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
25%75%0%3
25%62.5%12.5%4
25%56.2%18.8%5
28.1%50%21.9%6
29.7%46.9%23.5%7
30.5%45.3%24.3%8
30.8%44.9%24.3%9
31.2%44.5%24.3%10
31.3%44.4%24.3%11
31.4%44.3%24.3%12
31.4%44.2%24.3%13
31.5%44.2%24.3%14
Compiler

Compiled 8 to 6 computations (25% saved)

sample30.0ms (1.3%)

Algorithm
intervals
Results
14.0ms76×body1280valid
6.0ms55×body640valid
2.0ms88×body80valid
2.0ms24×body320valid
1.0ms13×body160valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify12.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01111
11111

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 41.7b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.0b
(-.f64 (exp.f64 x) 1)

rewrite14.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt_binary64
29×*-un-lft-identity_binary64
21×times-frac_binary64
14×add-cube-cbrt_binary64
10×difference-of-squares_binary64
associate-/r*_binary64
difference-of-sqr-1_binary64 distribute-lft-out--_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
add-exp-log_binary64 associate-/l*_binary64
pow1_binary64 flip3--_binary64 associate-/r/_binary64 flip--_binary64
sub-neg_binary64 diff-log_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
2 → 60
Calls

2 calls:

8.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms
(-.f64 (exp.f64 x) 1)

series12.0ms (0.5%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms
(-.f64 (exp.f64 x) 1)

simplify89.0ms (3.8%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (70.0ms)

IterNodesCost
049321126
149321126

prune248.0ms (10.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New63366
Fresh000
Picked101
Done000
Total64367

Merged error: 0b

Counts
67 → 3
Compiler

Compiled 940 to 467 computations (50.3% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 1/2 (*.f64 x 1/6))
0.0b
(+.f64 x (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/6))))
0.0b
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
0.3b
(*.f64 x 1/6)

rewrite21.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
11×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
10×add-sqr-sqrt_binary64
add-log-exp_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64
associate-*r*_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
flip3-+_binary64 flip-+_binary64
associate-*r/_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 +-commutative_binary64 associate-+r+_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 65
Calls

4 calls:

8.0ms
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
4.0ms
(+.f64 x (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/6))))
4.0ms
(*.f64 x 1/6)
3.0ms
(+.f64 1/2 (*.f64 x 1/6))

series17.0ms (0.7%)

Counts
4 → 12
Calls

4 calls:

7.0ms
(*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/6)))
4.0ms
(+.f64 x (*.f64 (*.f64 x x) (+.f64 1/2 (*.f64 x 1/6))))
4.0ms
(+.f64 1/2 (*.f64 x 1/6))
2.0ms
(*.f64 x 1/6)

simplify130.0ms (5.5%)

Algorithm
egg-herbie
Counts
77 → 77
Iterations

Useful iterations: 0 (110.0ms)

IterNodesCost
04918997
14918997

prune50.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New77077
Fresh022
Picked011
Done000
Total77380

Merged error: 0b

Counts
80 → 3
Compiler

Compiled 1454 to 852 computations (41.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
2.9b
(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite13.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
18×times-frac_binary64
13×add-cube-cbrt_binary64
10×difference-of-squares_binary64
associate-/r*_binary64 add-exp-log_binary64
distribute-lft-out--_binary64
add-log-exp_binary64 add-cbrt-cube_binary64
pow1_binary64 associate-/l*_binary64
flip3--_binary64 associate-/r/_binary64 div-exp_binary64 flip--_binary64
sub-neg_binary64 diff-log_binary64 1-exp_binary64 cbrt-undiv_binary64 clear-num_binary64 inv-pow_binary64 frac-2neg_binary64 rec-exp_binary64 div-inv_binary64 pow-flip_binary64
Counts
2 → 59
Calls

2 calls:

7.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
5.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))

series8.0ms (0.3%)

Counts
2 → 6
Calls

2 calls:

5.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
2.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))

simplify88.0ms (3.7%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
052821034

prune34.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh011
Picked011
Done011
Total65368

Merged error: 0b

Counts
68 → 3
Compiler

Compiled 854 to 542 computations (36.5% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (exp.f64 x) 1)
0.2b
(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
2.9b
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

rewrite30.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt_binary64
27×*-un-lft-identity_binary64
24×associate-*l*_binary64
20×times-frac_binary64
14×add-cube-cbrt_binary64
12×add-exp-log_binary64
add-cbrt-cube_binary64
add-log-exp_binary64
pow1_binary64
sinh-undef_binary64 associate-*r*_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
flip3-+_binary64 unswap-sqr_binary64 flip-+_binary64
flip3--_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 associate-*r/_binary64 associate-/r/_binary64 div-exp_binary64 flip--_binary64 frac-times_binary64
pow-prod-down_binary64 sub-neg_binary64 diff-log_binary64 1-exp_binary64 cbrt-undiv_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 rec-exp_binary64 div-inv_binary64 +-commutative_binary64 associate-*l/_binary64 sum-log_binary64 *-commutative_binary64
Counts
3 → 79
Calls

3 calls:

16.0ms
(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
6.0ms
(+.f64 (exp.f64 x) 1)
5.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))

series16.0ms (0.7%)

Counts
3 → 9
Calls

3 calls:

10.0ms
(*.f64 (/.f64 1 (-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))) (+.f64 (exp.f64 x) 1))
4.0ms
(-.f64 (exp.f64 x) (exp.f64 (neg.f64 x)))
2.0ms
(+.f64 (exp.f64 x) 1)

simplify89.0ms (3.8%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
050351607

prune48.0ms (2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done022
Total88391

Merged error: 0b

Counts
91 → 3
Compiler

Compiled 1654 to 729 computations (55.9% saved)

regimes15.0ms (0.7%)

Compiler

Compiled 36 to 29 computations (19.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01521
11521

end0.0ms (0%)

sample1.0s (43.8%)

Algorithm
intervals
Results
389.0ms2222×body1280valid
190.0ms1700×body640valid
64.0ms2875×body80valid
59.0ms804×body320valid
20.0ms399×body160valid
0.0msbody1280invalid
0.0msbody80overflowed
Compiler

Compiled 63 to 51 computations (19% saved)

Profiling

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