Details

Time bar (total: 2.1s)

analyze294.0ms (14.3%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
21.8%78%0.1%7
26.5%73.3%0.1%8
36.7%63.2%0.1%9
41.3%49.9%8.7%10
47.2%43.3%9.5%11
54.4%35.5%10.1%12
57.9%27.4%14.7%13
61.7%23.2%15.1%14
Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.7%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms22×body128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify35.0ms (1.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
054210
154210

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize8.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite15.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
associate-*r*_binary64 cancel-sign-sub-inv_binary64
add-cube-cbrt_binary64
distribute-lft-in_binary64 associate-*l*_binary64 distribute-rgt-in_binary64 frac-times_binary64
flip3-+_binary64 pow1_binary64 flip3--_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 flip--_binary64 flip-+_binary64
sub-neg_binary64 associate-*r/_binary64 difference-of-squares_binary64 associate-*l/_binary64
pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 unswap-sqr_binary64 prod-exp_binary64 distribute-lft-out--_binary64 *-commutative_binary64
Counts
1 → 38
Calls

1 calls:

12.0ms
(*.f64 (+.f64 x y) (-.f64 1 z))

series54.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

54.0ms
(*.f64 (+.f64 x y) (-.f64 1 z))

simplify56.0ms (2.7%)

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04994608
14994608

prune60.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New39241
Fresh000
Picked011
Done000
Total39342

Merged error: 0b

Counts
42 → 3
Compiler

Compiled 1020 to 612 computations (40% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(*.f64 (+.f64 x y) (neg.f64 z))

rewrite11.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
10×associate-*r*_binary64
*-un-lft-identity_binary64 add-sqr-sqrt_binary64
add-cube-cbrt_binary64
associate-*l*_binary64
pow1_binary64 add-exp-log_binary64 distribute-lft-neg-in_binary64 add-cbrt-cube_binary64 distribute-rgt-neg-in_binary64
associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 add-log-exp_binary64 cbrt-unprod_binary64 distribute-rgt-neg-out_binary64 distribute-lft-out_binary64 neg-mul-1_binary64 unswap-sqr_binary64 prod-exp_binary64 flip-+_binary64 *-commutative_binary64
Counts
1 → 29
Calls

1 calls:

9.0ms
(*.f64 (+.f64 x y) (neg.f64 z))

series63.0ms (3.1%)

Counts
1 → 3
Calls

1 calls:

63.0ms
(*.f64 (+.f64 x y) (neg.f64 z))

simplify61.0ms (3%)

Algorithm
egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
05058342

prune23.0ms (1.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New32032
Fresh011
Picked011
Done011
Total32335

Merged error: 0b

Counts
35 → 3
Compiler

Compiled 514 to 166 computations (67.7% saved)

localize13.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 1 1) (+.f64 (*.f64 z z) (*.f64 1 z)))
0.0b
(+.f64 (*.f64 z z) (*.f64 1 z))
1.7b
(*.f64 (+.f64 x y) (-.f64 1 (pow.f64 z 3)))
13.8b
(/.f64 (*.f64 (+.f64 x y) (-.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1 1) (+.f64 (*.f64 z z) (*.f64 1 z))))

rewrite68.0ms (3.3%)

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt_binary64
25×*-un-lft-identity_binary64
24×cancel-sign-sub-inv_binary64
14×add-cube-cbrt_binary64
13×distribute-lft-in_binary64 distribute-rgt-in_binary64
12×associate-*r*_binary64
11×add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
flip3-+_binary64 flip-+_binary64
associate-/l/_binary64 unpow-prod-down_binary64 difference-of-squares_binary64 cube-prod_binary64 frac-times_binary64
pow1_binary64 flip3--_binary64 flip--_binary64
associate-/r*_binary64 distribute-lft-out_binary64 associate-*r/_binary64 sqr-pow_binary64 associate-*l*_binary64 times-frac_binary64 associate-*l/_binary64 sum-log_binary64
sub-neg_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64 +-commutative_binary64 unpow3_binary64 cube-mult_binary64
pow-prod-down_binary64 distribute-rgt-out_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 distribute-lft-out--_binary64 div-inv_binary64 associate-+r+_binary64 *-commutative_binary64
Counts
4 → 121
Calls

4 calls:

25.0ms
(/.f64 (*.f64 (+.f64 x y) (-.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1 1) (+.f64 (*.f64 z z) (*.f64 1 z))))
17.0ms
(*.f64 (+.f64 x y) (-.f64 1 (pow.f64 z 3)))
8.0ms
(+.f64 (*.f64 1 1) (+.f64 (*.f64 z z) (*.f64 1 z)))
5.0ms
(+.f64 (*.f64 z z) (*.f64 1 z))

series488.0ms (23.8%)

Counts
4 → 12
Calls

4 calls:

258.0ms
(/.f64 (*.f64 (+.f64 x y) (-.f64 1 (pow.f64 z 3))) (+.f64 (*.f64 1 1) (+.f64 (*.f64 z z) (*.f64 1 z))))
156.0ms
(*.f64 (+.f64 x y) (-.f64 1 (pow.f64 z 3)))
56.0ms
(+.f64 (*.f64 z z) (*.f64 1 z))
17.0ms
(+.f64 (*.f64 1 1) (+.f64 (*.f64 z z) (*.f64 1 z)))

simplify95.0ms (4.6%)

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
051822425

prune160.0ms (7.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh000
Picked011
Done022
Total1333136

Merged error: 0b

Counts
136 → 3
Compiler

Compiled 3473 to 2002 computations (42.4% saved)

regimes61.0ms (3%)

Compiler

Compiled 260 to 242 computations (6.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02010
12010

end0.0ms (0%)

sample464.0ms (22.6%)

Algorithm
intervals
Results
196.0ms7999×body128valid
14.0ms623×body128invalid
0.0msbody1024valid
Compiler

Compiled 53 to 50 computations (5.7% saved)

Profiling

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