Details

Time bar (total: 2.2s)

analyze324.0ms (14.6%)

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)

sample29.0ms (1.3%)

Algorithm
intervals
Results
13.0ms74×body1280valid
5.0ms46×body640valid
3.0ms97×body80valid
2.0ms25×body320valid
1.0ms14×body160valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify22.0ms (1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
01111
11111

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 40.2b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.0b
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.5b
(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0.8%)

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 insert-posit16 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 → 62
Calls

2 calls:

9.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
5.0ms
(-.f64 (exp.f64 x) 1)

series96.0ms (4.3%)

Counts
2 → 6
Calls

2 calls:

79.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
17.0ms
(-.f64 (exp.f64 x) 1)

simplify80.0ms (3.6%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049361147
149361147

prune67.0ms (3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New66268
Fresh000
Picked101
Done000
Total67269

Merged error: 0b

Counts
69 → 2
Compiler

Compiled 940 to 465 computations (50.5% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.3b
(*.f64 x 1/12)

rewrite5.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64 pow1_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 insert-posit16 *-commutative_binary64
Counts
1 → 19
Calls

1 calls:

4.0ms
(*.f64 x 1/12)

series24.0ms (1.1%)

Counts
1 → 3
Calls

1 calls:

23.0ms
(*.f64 x 1/12)

simplify223.0ms (10%)

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 0 (207.0ms)

IterNodesCost
04678136
14678136

prune20.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New22022
Fresh011
Picked011
Done000
Total22224

Merged error: 0b

Counts
24 → 2
Compiler

Compiled 274 to 219 computations (20.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.5b
(-.f64 1 (exp.f64 (neg.f64 x)))

rewrite16.0ms (0.7%)

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 insert-posit16 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 → 61
Calls

2 calls:

8.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
6.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))

series93.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

71.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
22.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))

simplify116.0ms (5.2%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (90.0ms)

IterNodesCost
052711057

prune49.0ms (2.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New67067
Fresh000
Picked011
Done011
Total67269

Merged error: 0b

Counts
69 → 2
Compiler

Compiled 859 to 545 computations (36.6% saved)

regimes14.0ms (0.6%)

Compiler

Compiled 18 to 17 computations (5.6% saved)

bsearch17.0ms (0.8%)

Steps
ItersRangePoint
10
-7538636.186919188
-2.1060096442683291e-10
-0.001724209745045696
Compiler

Compiled 1 to 1 computations (0% saved)

simplify6.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03630
13630

end0.0ms (0%)

sample989.0ms (44.5%)

Algorithm
intervals
Results
410.0ms2260×body1280valid
188.0ms1632×body640valid
73.0ms2837×body80valid
71.0ms845×body320valid
23.0ms426×body160valid
0.0msbody1280invalid
Compiler

Compiled 51 to 46 computations (9.8% saved)

Profiling

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