Details

Time bar (total: 2.3s)

analyze451.0ms (20%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
49.1%50.7%0.2%9
49.5%50.3%0.2%10
49.7%50.1%0.2%11
50.2%49.6%0.2%12
60.5%39.3%0.2%13
60.6%37.9%1.4%14
Compiler

Compiled 10 to 10 computations (0% saved)

sample24.0ms (1.1%)

Algorithm
1×intervals
Results
8.0ms256×body128valid
3.0ms99×body128invalid
Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify144.0ms (6.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (138.0ms)

IterNodesCost
0171513
1171513

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 18 to 18 computations (0% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite13.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
13×*-un-lft-identity_binary64
7×add-sqr-sqrt_binary64
6×add-exp-log_binary64 add-cbrt-cube_binary64 associate-/l*_binary64 times-frac_binary64
4×distribute-lft-out--_binary64
3×add-cube-cbrt_binary64
2×associate-/l/_binary64 distribute-lft-out_binary64 cbrt-undiv_binary64 difference-of-squares_binary64 div-exp_binary64
1×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 flip3--_binary64 cbrt-unprod_binary64 div-sub_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 div-inv_binary64 flip--_binary64
Counts
1 → 30
Calls

1 calls:

11.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series78.0ms (3.5%)

Counts
1 → 3
Calls

1 calls:

78.0ms
(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify51.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05067513

prune47.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New32133
Fresh000
Picked011
Done000
Total32234

Merged error: 0.0b

Counts
34 → 2
Compiler

Compiled 757 to 440 computations (41.9% saved)

localize10.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (+.f64 x y) (*.f64 t 2))
0.0b
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))

rewrite26.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Rules
17×*-un-lft-identity_binary64
11×times-frac_binary64
8×add-sqr-sqrt_binary64
7×add-exp-log_binary64 add-cbrt-cube_binary64 cancel-sign-sub-inv_binary64
6×add-cube-cbrt_binary64
4×add-log-exp_binary64 associate-/l*_binary64 div-inv_binary64
3×distribute-lft-out_binary64 distribute-lft-out--_binary64
2×associate-/l/_binary64 pow1_binary64 cbrt-undiv_binary64 div-exp_binary64
1×flip3-+_binary64 associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-rgt-out--_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 difference-of-squares_binary64 sub-div_binary64 flip--_binary64 flip-+_binary64 frac-sub_binary64
Counts
2 → 50
Calls

2 calls:

14.0ms
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
7.0ms
(/.f64 (+.f64 x y) (*.f64 t 2))

series124.0ms (5.5%)

Counts
2 → 6
Calls

2 calls:

71.0ms
(-.f64 (/.f64 (+.f64 x y) (*.f64 t 2)) (/.f64 z (*.f64 t 2)))
53.0ms
(/.f64 (+.f64 x y) (*.f64 t 2))

simplify67.0ms (3%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04930903
14930903

prune48.0ms (2.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh000
Picked011
Done011
Total55358

Merged error: 0b

Counts
58 → 3
Compiler

Compiled 1030 to 568 computations (44.9% saved)

localize13.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 t (*.f64 2 (-.f64 (+.f64 x y) z)))
30.9b
(/.f64 (*.f64 t (*.f64 2 (-.f64 (+.f64 x y) z))) (*.f64 t (*.f64 t 4)))

rewrite39.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
43×add-exp-log_binary64 add-cbrt-cube_binary64
21×cbrt-unprod_binary64 prod-exp_binary64
20×distribute-lft-in_binary64 distribute-rgt-in_binary64
12×cancel-sign-sub-inv_binary64
9×cbrt-undiv_binary64 div-exp_binary64
8×associate-*r/_binary64
7×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×sub-neg_binary64 associate--l+_binary64
3×pow-prod-down_binary64 associate-*l*_binary64
2×associate-/l/_binary64 add-log-exp_binary64 flip3--_binary64 flip--_binary64
1×associate-/r*_binary64 associate-*r*_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 times-frac_binary64 div-inv_binary64 *-commutative_binary64
Counts
2 → 73
Calls

2 calls:

18.0ms
(/.f64 (*.f64 t (*.f64 2 (-.f64 (+.f64 x y) z))) (*.f64 t (*.f64 t 4)))
13.0ms
(*.f64 t (*.f64 2 (-.f64 (+.f64 x y) z)))

series179.0ms (7.9%)

Counts
2 → 6
Calls

2 calls:

91.0ms
(/.f64 (*.f64 t (*.f64 2 (-.f64 (+.f64 x y) z))) (*.f64 t (*.f64 t 4)))
88.0ms
(*.f64 t (*.f64 2 (-.f64 (+.f64 x y) z)))

simplify62.0ms (2.8%)

Algorithm
1×egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
049471251
149471251

prune65.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New79079
Fresh000
Picked011
Done022
Total79382

Merged error: 0b

Counts
82 → 3
Compiler

Compiled 1378 to 690 computations (49.9% saved)

regimes83.0ms (3.7%)

Compiler

Compiled 344 to 356 computations (-3.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02213
12213

end0.0ms (0%)

sample717.0ms (31.8%)

Algorithm
1×intervals
Results
267.0ms8000×body128valid
92.0ms2785×body128invalid
Compiler

Compiled 56 to 57 computations (-1.8% saved)

Profiling

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