Details

Time bar (total: 2.4s)

analyze315.0ms (13.1%)

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)

sample29.0ms (1.2%)

Algorithm
intervals
Results
14.0ms96×body1024valid
4.0ms50×body512valid
2.0ms80×body128valid
1.0ms24×body256valid
1.0msbody2048valid
Compiler

Compiled 15 to 12 computations (20% saved)

simplify8.0ms (0.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01011
11011

prune5.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 45.4b

Counts
2 → 1
Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
3.9b
(-.f64 (exp.f64 x) 1)

rewrite17.0ms (0.7%)

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))
4.0ms
(-.f64 (exp.f64 x) 1)

series87.0ms (3.6%)

Counts
2 → 6
Calls

2 calls:

69.0ms
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
18.0ms
(-.f64 (exp.f64 x) 1)

simplify48.0ms (2%)

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
049321126
149321126

prune59.0ms (2.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New63366
Fresh000
Picked101
Done000
Total64367

Merged error: 0.0b

Counts
67 → 3
Compiler

Compiled 931 to 462 computations (50.4% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
0.0b
(+.f64 1/2 (/.f64 1 x))
0.3b
(*.f64 x 1/12)

rewrite25.0ms (1%)

Algorithm
rewrite-expression-head
Rules
10×add-log-exp_binary64
*-un-lft-identity_binary64
add-sqr-sqrt_binary64
pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
sum-log_binary64
associate-*r*_binary64 associate-*l*_binary64
flip3-+_binary64 distribute-lft-out_binary64 +-commutative_binary64 flip-+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 div-inv_binary64 associate-+r+_binary64 *-commutative_binary64
Counts
3 → 44
Calls

3 calls:

12.0ms
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
7.0ms
(+.f64 1/2 (/.f64 1 x))
4.0ms
(*.f64 x 1/12)

series56.0ms (2.3%)

Counts
3 → 9
Calls

3 calls:

24.0ms
(*.f64 x 1/12)
17.0ms
(+.f64 (*.f64 x 1/12) (+.f64 1/2 (/.f64 1 x)))
15.0ms
(+.f64 1/2 (/.f64 1 x))

simplify64.0ms (2.6%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
05125573

prune46.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52153
Fresh022
Picked011
Done000
Total52456

Merged error: 0b

Counts
56 → 4
Compiler

Compiled 729 to 587 computations (19.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1 x)))
0.0b
(sqrt.f64 (+.f64 1/2 (/.f64 1 x)))
0.3b
(*.f64 x 1/12)
0.4b
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1 x))))

rewrite48.0ms (2%)

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity_binary64
48×sqrt-prod_binary64
32×add-sqr-sqrt_binary64
23×pow1_binary64
20×distribute-lft-out_binary64
16×swap-sqr_binary64 add-cube-cbrt_binary64 sqrt-div_binary64
11×associate-*r*_binary64 associate-*l*_binary64
10×pow1/2_binary64 sqrt-pow1_binary64 div-inv_binary64
flip3-+_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip-+_binary64
pow-prod-up_binary64 unswap-sqr_binary64
pow-prod-down_binary64 add-log-exp_binary64 frac-times_binary64
pow-sqr_binary64
cbrt-unprod_binary64 associate-*r/_binary64 rem-sqrt-square_binary64 prod-exp_binary64 associate-*l/_binary64 *-commutative_binary64
rem-square-sqrt_binary64 pow-plus_binary64 sqrt-unprod_binary64 pow2_binary64
Counts
4 → 121
Calls

4 calls:

19.0ms
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1 x))))
7.0ms
(sqrt.f64 (+.f64 1/2 (/.f64 1 x)))
7.0ms
(sqrt.f64 (+.f64 1/2 (/.f64 1 x)))
4.0ms
(*.f64 x 1/12)

series96.0ms (4%)

Counts
4 → 12
Calls

4 calls:

27.0ms
(sqrt.f64 (+.f64 1/2 (/.f64 1 x)))
27.0ms
(sqrt.f64 (+.f64 1/2 (/.f64 1 x)))
25.0ms
(*.f64 x 1/12)
18.0ms
(*.f64 (sqrt.f64 (+.f64 1/2 (/.f64 1 x))) (sqrt.f64 (+.f64 1/2 (/.f64 1 x))))

simplify106.0ms (4.4%)

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (84.0ms)

IterNodesCost
048191579
148191579

prune169.0ms (7.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1330133
Fresh022
Picked011
Done011
Total1334137

Merged error: 0b

Counts
137 → 4
Compiler

Compiled 2551 to 2117 computations (17% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
3.9b
(-.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 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)))

series89.0ms (3.7%)

Counts
2 → 6
Calls

2 calls:

66.0ms
(/.f64 1 (-.f64 1 (exp.f64 (neg.f64 x))))
23.0ms
(-.f64 1 (exp.f64 (neg.f64 x)))

simplify69.0ms (2.9%)

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
052671034

prune48.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New65065
Fresh011
Picked011
Done022
Total65469

Merged error: 0b

Counts
69 → 4
Compiler

Compiled 841 to 533 computations (36.6% saved)

regimes27.0ms (1.1%)

Compiler

Compiled 90 to 80 computations (11.1% saved)

bsearch1.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03136
13136

end0.0ms (0%)

sample944.0ms (39.3%)

Algorithm
intervals
Results
411.0ms2636×body1024valid
117.0ms1354×body512valid
78.0ms3057×body128valid
50.0ms274×body2048valid
44.0ms679×body256valid
0.0msbody2048invalid
Compiler

Compiled 80 to 68 computations (15% saved)

Profiling

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