Details

Time bar (total: 3.8s)

analyze232.0ms (6.1%)

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
25%74.9%0.1%6
25%74.9%0.1%7
43.7%56.2%0.1%8
62.4%37.4%0.1%9
65.5%34.3%0.1%10
71.8%27.7%0.5%11
79.2%19.7%1.1%12
80.2%18.7%1.1%13
82.8%15%2.2%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.5%)

Algorithm
intervals
Results
9.0ms256×body128valid
1.0ms16×body128invalid
Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify99.0ms (2.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
011116
111116

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 7.5b

Counts
2 → 1
Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.8b
(*.f64 y (+.f64 1 (*.f64 z z)))
4.9b
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))

rewrite20.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
31×times-frac_binary64_7586
26×add-exp-log_binary64_7618
20×add-sqr-sqrt_binary64_7602
18×*-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
16×add-cbrt-cube_binary64_7616
13×associate-/l*_binary64_7525
12×div-exp_binary64_7631
cbrt-undiv_binary64_7614
prod-exp_binary64_7629
pow1_binary64_7641 associate-*r/_binary64_7522
associate-*r*_binary64_7520 div-inv_binary64_7577 cbrt-unprod_binary64_7613 associate-*l*_binary64_7521
add-log-exp_binary64_7619 rec-exp_binary64_7630 flip-+_binary64_7554 associate-/r/_binary64_7526 1-exp_binary64_7624 flip3-+_binary64_7583
distribute-lft-in_binary64_7529 pow-prod-down_binary64_7651 unswap-sqr_binary64_7548 frac-2neg_binary64_7591 associate-/l/_binary64_7527 clear-num_binary64_7579 associate-/r*_binary64_7524 distribute-rgt-in_binary64_7530 *-commutative_binary64_7511
Counts
2 → 74
Calls

2 calls:

9.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
6.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))

series88.0ms (2.3%)

Counts
2 → 6
Calls

2 calls:

49.0ms
(/.f64 (/.f64 1 x) (*.f64 y (+.f64 1 (*.f64 z z))))
39.0ms
(*.f64 y (+.f64 1 (*.f64 z z)))

simplify69.0ms (1.8%)

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
051901317

prune95.0ms (2.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New691180
Fresh000
Picked101
Done000
Total701181

Merged error: 5.9b

Counts
81 → 11
Compiler

Compiled 1472 to 904 computations (38.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.3b
(/.f64 (/.f64 1 x) y)
6.5b
(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))

rewrite60.0ms (1.6%)

Algorithm
rewrite-expression-head
Rules
468×times-frac_binary64_7586
228×add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
56×associate-/l*_binary64_7525
26×add-exp-log_binary64_7618
22×div-inv_binary64_7577
17×div-exp_binary64_7631
16×add-cbrt-cube_binary64_7616
cbrt-undiv_binary64_7614
associate-/r*_binary64_7524
add-log-exp_binary64_7619 frac-2neg_binary64_7591 associate-/l/_binary64_7527 clear-num_binary64_7579 rec-exp_binary64_7630 pow1_binary64_7641 associate-/r/_binary64_7526 1-exp_binary64_7624
flip-+_binary64_7554 flip3-+_binary64_7583
Counts
2 → 268
Calls

2 calls:

16.0ms
(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))
6.0ms
(/.f64 (/.f64 1 x) y)

series62.0ms (1.6%)

Counts
2 → 6
Calls

2 calls:

52.0ms
(/.f64 (/.f64 (/.f64 1 x) y) (+.f64 1 (*.f64 z z)))
10.0ms
(/.f64 (/.f64 1 x) y)

simplify139.0ms (3.7%)

Algorithm
egg-herbie
Counts
274 → 274
Iterations

Useful iterations: 0 (69.0ms)

IterNodesCost
051557926

prune348.0ms (9.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New2704274
Fresh5510
Picked101
Done000
Total2769285

Merged error: 5.9b

Counts
285 → 9
Compiler

Compiled 6548 to 3587 computations (45.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b
(/.f64 -1 (*.f64 x y))
6.5b
(/.f64 (/.f64 -1 (*.f64 x y)) (-.f64 -1 (*.f64 z z)))

rewrite19.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
46×times-frac_binary64_7586
30×add-sqr-sqrt_binary64_7602
22×*-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
16×add-cbrt-cube_binary64_7616 add-exp-log_binary64_7618
10×associate-/l*_binary64_7525
difference-of-squares_binary64_7549
div-inv_binary64_7577 cbrt-undiv_binary64_7614 div-exp_binary64_7631
associate-/r*_binary64_7524
add-log-exp_binary64_7619 frac-2neg_binary64_7591 clear-num_binary64_7579 pow1_binary64_7641 associate-/r/_binary64_7526 cbrt-unprod_binary64_7613 prod-exp_binary64_7629
associate-/l/_binary64_7527 flip--_binary64_7555 flip3--_binary64_7584
Counts
2 → 79
Calls

2 calls:

8.0ms
(/.f64 (/.f64 -1 (*.f64 x y)) (-.f64 -1 (*.f64 z z)))
4.0ms
(/.f64 -1 (*.f64 x y))

series63.0ms (1.7%)

Counts
2 → 6
Calls

2 calls:

50.0ms
(/.f64 (/.f64 -1 (*.f64 x y)) (-.f64 -1 (*.f64 z z)))
13.0ms
(/.f64 -1 (*.f64 x y))

simplify72.0ms (1.9%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049621744
149621744

prune84.0ms (2.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New85085
Fresh088
Picked011
Done000
Total85994

Merged error: 5.9b

Counts
94 → 9
Compiler

Compiled 1671 to 1006 computations (39.8% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.3b
(/.f64 1 (*.f64 y (*.f64 x (+.f64 1 (*.f64 z z)))))
3.5b
(*.f64 y (*.f64 x (+.f64 1 (*.f64 z z))))
4.1b
(*.f64 x (+.f64 1 (*.f64 z z)))

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
31×add-exp-log_binary64_7618
19×add-cbrt-cube_binary64_7616
16×pow1_binary64_7641
13×prod-exp_binary64_7629
10×add-sqr-sqrt_binary64_7602 associate-*r/_binary64_7522
*-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
pow-prod-down_binary64_7651 cbrt-unprod_binary64_7613
div-exp_binary64_7631 associate-*l*_binary64_7521
distribute-lft-in_binary64_7529 distribute-rgt-in_binary64_7530
associate-*r*_binary64_7520
add-log-exp_binary64_7619 times-frac_binary64_7586 associate-/l*_binary64_7525 rec-exp_binary64_7630 flip-+_binary64_7554 1-exp_binary64_7624 cbrt-undiv_binary64_7614 pow-flip_binary64_7654 flip3-+_binary64_7583
associate-/r/_binary64_7526 *-commutative_binary64_7511
unswap-sqr_binary64_7548 frac-2neg_binary64_7591 div-inv_binary64_7577 clear-num_binary64_7579 associate-/r*_binary64_7524 inv-pow_binary64_7665
Counts
3 → 81
Calls

3 calls:

8.0ms
(/.f64 1 (*.f64 y (*.f64 x (+.f64 1 (*.f64 z z)))))
7.0ms
(*.f64 y (*.f64 x (+.f64 1 (*.f64 z z))))
6.0ms
(*.f64 x (+.f64 1 (*.f64 z z)))

series152.0ms (4%)

Counts
3 → 9
Calls

3 calls:

59.0ms
(*.f64 y (*.f64 x (+.f64 1 (*.f64 z z))))
53.0ms
(/.f64 1 (*.f64 y (*.f64 x (+.f64 1 (*.f64 z z)))))
39.0ms
(*.f64 x (+.f64 1 (*.f64 z z)))

simplify82.0ms (2.2%)

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049871246
149871246

prune68.0ms (1.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New89190
Fresh167
Picked011
Done011
Total90999

Merged error: 5.9b

Counts
99 → 9
Compiler

Compiled 1314 to 739 computations (43.8% saved)

regimes625.0ms (16.5%)

Compiler

Compiled 7264 to 6053 computations (16.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01216
11216

end0.0ms (0%)

sample1.3s (35.4%)

Algorithm
intervals
Results
296.0ms8000×body128valid
17.0ms467×body128invalid
Compiler

Compiled 938 to 774 computations (17.5% saved)

Profiling

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