Details

Time bar (total: 5.4s)

analyze647.0ms (12%)

Algorithm
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
12.5%87.3%0.2%8
18.7%81.1%0.2%9
22.6%77.2%0.2%10
25%74.9%0.2%11
39.4%60.4%0.2%12
46.5%53.2%0.3%13
48%51.4%0.6%14
Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.3%)

Algorithm
intervals
Results
9.0ms256×body128valid
1.0ms19×body128invalid
Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify80.0ms (1.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0116613
1116613

prune6.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.6b

Counts
2 → 2
Compiler

Compiled 49 to 47 computations (4.1% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 2 (-.f64 y t))
0.2b
(/.f64 (/.f64 2 (-.f64 y t)) z)
5.7b
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite76.0ms (1.4%)

Algorithm
rewrite-expression-head
Rules
249×times-frac_binary64
180×add-sqr-sqrt_binary64
171×*-un-lft-identity_binary64
121×add-cube-cbrt_binary64
67×associate-*r*_binary64
25×difference-of-squares_binary64 distribute-lft-out--_binary64
24×associate-/l*_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
16×associate-/r/_binary64
10×div-inv_binary64
associate-/r*_binary64 flip3--_binary64 flip--_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
add-log-exp_binary64 cbrt-unprod_binary64 associate-*l*_binary64 unswap-sqr_binary64 prod-exp_binary64
clear-num_binary64 frac-2neg_binary64
pow-prod-down_binary64 associate-/l/_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
3 → 228
Calls

3 calls:

33.0ms
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
12.0ms
(/.f64 (/.f64 2 (-.f64 y t)) z)
7.0ms
(/.f64 2 (-.f64 y t))

series341.0ms (6.3%)

Counts
3 → 9
Calls

3 calls:

167.0ms
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
121.0ms
(/.f64 (/.f64 2 (-.f64 y t)) z)
53.0ms
(/.f64 2 (-.f64 y t))

simplify84.0ms (1.6%)

Algorithm
egg-herbie
Counts
237 → 237
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049574396
149574396

prune592.0ms (10.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New2289237
Fresh011
Picked011
Done000
Total22811239

Merged error: 0b

Counts
239 → 11
Compiler

Compiled 11143 to 7137 computations (36% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b
(cbrt.f64 (/.f64 2 (-.f64 y t)))
0.6b
(cbrt.f64 (/.f64 2 (-.f64 y t)))
1.2b
(*.f64 x (/.f64 (*.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))

rewrite62.0ms (1.1%)

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod_binary64
54×add-sqr-sqrt_binary64
51×*-un-lft-identity_binary64
47×times-frac_binary64
33×add-cube-cbrt_binary64
22×add-exp-log_binary64
14×add-cbrt-cube_binary64
cbrt-unprod_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64
pow1_binary64 associate-/r/_binary64
associate-*r*_binary64
add-log-exp_binary64 cbrt-undiv_binary64 div-inv_binary64 div-exp_binary64
cbrt-div_binary64 flip3--_binary64 pow1/3_binary64 associate-*l*_binary64 flip--_binary64
unswap-sqr_binary64
pow-prod-down_binary64 associate-*r/_binary64 *-commutative_binary64
Counts
4 → 120
Calls

4 calls:

27.0ms
(*.f64 x (/.f64 (*.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
6.0ms
(cbrt.f64 (/.f64 2 (-.f64 y t)))
6.0ms
(cbrt.f64 (/.f64 2 (-.f64 y t)))
6.0ms
(cbrt.f64 (/.f64 2 (-.f64 y t)))

series1.3s (24.3%)

Counts
4 → 12
Calls

4 calls:

502.0ms
(*.f64 x (/.f64 (*.f64 (cbrt.f64 (/.f64 2 (-.f64 y t))) (cbrt.f64 (/.f64 2 (-.f64 y t)))) (*.f64 (cbrt.f64 z) (cbrt.f64 z))))
280.0ms
(cbrt.f64 (/.f64 2 (-.f64 y t)))
267.0ms
(cbrt.f64 (/.f64 2 (-.f64 y t)))
264.0ms
(cbrt.f64 (/.f64 2 (-.f64 y t)))

simplify103.0ms (1.9%)

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
049572999
149572999

prune231.0ms (4.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1320132
Fresh099
Picked011
Done011
Total13211143

Merged error: 0b

Counts
143 → 11
Compiler

Compiled 5219 to 2666 computations (48.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 2 (-.f64 y t))
0.2b
(*.f64 x (/.f64 2 (-.f64 y t)))
5.6b
(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

rewrite41.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt_binary64
39×*-un-lft-identity_binary64
34×times-frac_binary64
25×add-cube-cbrt_binary64
21×associate-*r*_binary64
19×add-exp-log_binary64 add-cbrt-cube_binary64
associate-/r*_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64
cbrt-undiv_binary64 div-exp_binary64
pow1_binary64
cbrt-unprod_binary64 associate-/r/_binary64 prod-exp_binary64 associate-/l*_binary64
add-log-exp_binary64 associate-*l*_binary64 div-inv_binary64
flip3--_binary64 associate-*r/_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 flip--_binary64
pow-prod-down_binary64 associate-/l/_binary64 *-commutative_binary64
Counts
3 → 101
Calls

3 calls:

15.0ms
(*.f64 x (/.f64 2 (-.f64 y t)))
11.0ms
(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)
6.0ms
(/.f64 2 (-.f64 y t))

series272.0ms (5%)

Counts
3 → 9
Calls

3 calls:

152.0ms
(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)
70.0ms
(*.f64 x (/.f64 2 (-.f64 y t)))
49.0ms
(/.f64 2 (-.f64 y t))

simplify55.0ms (1%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
051261404

prune188.0ms (3.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1073110
Fresh628
Picked011
Done022
Total1138121

Merged error: 0b

Counts
121 → 8
Compiler

Compiled 3421 to 2227 computations (34.9% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (*.f64 x 2) (-.f64 y t))
5.6b
(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)

rewrite26.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
58×times-frac_binary64
36×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
24×add-cube-cbrt_binary64
16×add-exp-log_binary64 add-cbrt-cube_binary64
12×associate-/l*_binary64
10×associate-/r/_binary64
associate-/r*_binary64
cbrt-undiv_binary64 div-exp_binary64
difference-of-squares_binary64 distribute-lft-out--_binary64 div-inv_binary64
flip3--_binary64 flip--_binary64
add-log-exp_binary64 pow1_binary64 cbrt-unprod_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64
associate-/l/_binary64
Counts
2 → 91
Calls

2 calls:

11.0ms
(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)
8.0ms
(/.f64 (*.f64 x 2) (-.f64 y t))

series241.0ms (4.5%)

Counts
2 → 6
Calls

2 calls:

162.0ms
(/.f64 (/.f64 (*.f64 x 2) (-.f64 y t)) z)
79.0ms
(/.f64 (*.f64 x 2) (-.f64 y t))

simplify60.0ms (1.1%)

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
049661739
149661739

prune78.0ms (1.4%)

Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New96197
Fresh134
Picked011
Done033
Total978105

Merged error: 0b

Counts
105 → 8
Compiler

Compiled 1624 to 735 computations (54.7% saved)

regimes102.0ms (1.9%)

Compiler

Compiled 664 to 590 computations (11.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02849
12849

end0.0ms (0%)

sample752.0ms (13.9%)

Algorithm
intervals
Results
290.0ms8000×body128valid
28.0ms717×body128invalid
Compiler

Compiled 221 to 167 computations (24.4% saved)

Profiling

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