Details

Time bar (total: 7.0s)

analyze827.0ms (11.8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0487291
1487291
044
144
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)

sample20.0ms (0.3%)

Algorithm
intervals
Results
8.0ms256×body128valid
0.0ms15×body128invalid
Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify78.0ms (1.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
0119613
1119613

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
3.8b
Counts
2 → 2
Compiler

Compiled 29 to 28 computations (3.4% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 2 (-.f64 y t))
0.2b
(/.f64 (/.f64 2 (-.f64 y t)) z)
3.9b
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))

rewrite274.0ms (3.9%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
249×times-frac_binary64_13042
180×add-sqr-sqrt_binary64_13058
171×*-un-lft-identity_binary64_13036
121×add-cube-cbrt_binary64_13071
67×associate-*r*_binary64_12976
25×difference-of-squares_binary64_13005 distribute-lft-out--_binary64_12988
24×associate-/l*_binary64_12981
19×add-exp-log_binary64_13074 add-cbrt-cube_binary64_13072
16×associate-/r/_binary64_12982
10×div-inv_binary64_13033
flip3--_binary64_13040 flip--_binary64_13011 associate-/r*_binary64_12980
div-exp_binary64_13087 cbrt-undiv_binary64_13070
pow1_binary64_13097
prod-exp_binary64_13085 add-log-exp_binary64_13075 cbrt-unprod_binary64_13069 unswap-sqr_binary64_13004 associate-*l*_binary64_12977
frac-2neg_binary64_13047 clear-num_binary64_13035
pow-prod-down_binary64_13107 associate-*r/_binary64_12978 *-commutative_binary64_12967 associate-/l/_binary64_12983
Counts
3 → 228
Calls

3 calls:

24.0ms
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
10.0ms
(/.f64 (/.f64 2 (-.f64 y t)) z)
6.0ms
(/.f64 2 (-.f64 y t))
Compiler

Compiled 4652 to 2214 computations (52.4% saved)

series290.0ms (4.2%)

Error
3.8b
Counts
3 → 30
Calls

3 calls:

165.0ms
(*.f64 x (/.f64 (/.f64 2 (-.f64 y t)) z))
70.0ms
(/.f64 (/.f64 2 (-.f64 y t)) z)
35.0ms
(/.f64 2 (-.f64 y t))
Compiler

Compiled 984 to 815 computations (17.2% saved)

simplify113.0ms (1.6%)

Algorithm
egg-herbie
Counts
258 → 258
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049574667
149574667

prune224.0ms (3.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New2535258
Fresh011
Picked011
Done000
Total2537260
Error
0.0b
Counts
260 → 7
Compiler

Compiled 4629 to 2072 computations (55.2% 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)))
4.1b
(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)

rewrite118.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
44×add-sqr-sqrt_binary64_13058
39×*-un-lft-identity_binary64_13036
34×times-frac_binary64_13042
25×add-cube-cbrt_binary64_13071
21×associate-*r*_binary64_12976
19×add-exp-log_binary64_13074 add-cbrt-cube_binary64_13072
associate-/r*_binary64_12980
difference-of-squares_binary64_13005 distribute-lft-out--_binary64_12988
div-exp_binary64_13087 cbrt-undiv_binary64_13070
pow1_binary64_13097
prod-exp_binary64_13085 cbrt-unprod_binary64_13069 associate-/l*_binary64_12981 associate-/r/_binary64_12982
add-log-exp_binary64_13075 div-inv_binary64_13033 associate-*l*_binary64_12977
frac-2neg_binary64_13047 clear-num_binary64_13035 associate-*r/_binary64_12978 unswap-sqr_binary64_13004 flip3--_binary64_13040 flip--_binary64_13011
associate-/l/_binary64_12983 pow-prod-down_binary64_13107 *-commutative_binary64_12967
Counts
3 → 101
Calls

3 calls:

11.0ms
(*.f64 x (/.f64 2 (-.f64 y t)))
9.0ms
(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)
6.0ms
(/.f64 2 (-.f64 y t))
Compiler

Compiled 1703 to 852 computations (50% saved)

series356.0ms (5.1%)

Error
0.0b
Counts
3 → 36
Calls

3 calls:

175.0ms
(/.f64 (*.f64 x (/.f64 2 (-.f64 y t))) z)
98.0ms
(*.f64 x (/.f64 2 (-.f64 y t)))
56.0ms
(/.f64 2 (-.f64 y t))
Compiler

Compiled 1314 to 1074 computations (18.3% saved)

simplify71.0ms (1%)

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049761791
149761791

prune101.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1361137
Fresh145
Picked011
Done011
Total1377144
Error
0b
Counts
144 → 7
Compiler

Compiled 1935 to 926 computations (52.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b
(/.f64 x (-.f64 y t))
0.0b
(*.f64 2 (/.f64 x (-.f64 y t)))
0.5b
(/.f64 1 (/.f64 z (*.f64 2 (/.f64 x (-.f64 y t)))))
3.9b
(/.f64 z (*.f64 2 (/.f64 x (-.f64 y t))))

rewrite190.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
70×times-frac_binary64_13042
62×add-sqr-sqrt_binary64_13058
57×*-un-lft-identity_binary64_13036
54×add-exp-log_binary64_13074
43×add-cube-cbrt_binary64_13071
34×add-cbrt-cube_binary64_13072
26×div-exp_binary64_13087
21×associate-*r*_binary64_12976
14×cbrt-undiv_binary64_13070 associate-/r*_binary64_12980
10×prod-exp_binary64_13085 associate-/r/_binary64_12982
associate-/l*_binary64_12981
div-inv_binary64_13033
pow1_binary64_13097 difference-of-squares_binary64_13005 distribute-lft-out--_binary64_12988
cbrt-unprod_binary64_13069 associate-*r/_binary64_12978
add-log-exp_binary64_13075 1-exp_binary64_13080 rec-exp_binary64_13086
frac-2neg_binary64_13047 clear-num_binary64_13035 associate-*l*_binary64_12977
unswap-sqr_binary64_13004 flip3--_binary64_13040 flip--_binary64_13011
inv-pow_binary64_13121 pow-flip_binary64_13110 pow-prod-down_binary64_13107 *-commutative_binary64_12967
Counts
4 → 165
Calls

4 calls:

12.0ms
(/.f64 1 (/.f64 z (*.f64 2 (/.f64 x (-.f64 y t)))))
12.0ms
(*.f64 2 (/.f64 x (-.f64 y t)))
9.0ms
(/.f64 z (*.f64 2 (/.f64 x (-.f64 y t))))
6.0ms
(/.f64 x (-.f64 y t))
Compiler

Compiled 3157 to 1483 computations (53% saved)

series609.0ms (8.7%)

Error
0b
Counts
4 → 54
Calls

4 calls:

253.0ms
(/.f64 z (*.f64 2 (/.f64 x (-.f64 y t))))
154.0ms
(/.f64 1 (/.f64 z (*.f64 2 (/.f64 x (-.f64 y t)))))
92.0ms
(*.f64 2 (/.f64 x (-.f64 y t)))
76.0ms
(/.f64 x (-.f64 y t))
Compiler

Compiled 1959 to 1559 computations (20.4% saved)

simplify88.0ms (1.3%)

Algorithm
egg-herbie
Counts
219 → 219
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049453145
149453145

prune159.0ms (2.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2181219
Fresh224
Picked011
Done112
Total2215226
Error
0b
Counts
226 → 5
Compiler

Compiled 3278 to 1434 computations (56.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 x (/.f64 z 2))
3.9b
(/.f64 (/.f64 x (/.f64 z 2)) (-.f64 y t))

rewrite428.0ms (6.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
691×times-frac_binary64_13042
389×add-sqr-sqrt_binary64_13058 *-un-lft-identity_binary64_13036
299×add-cube-cbrt_binary64_13071
47×associate-/l*_binary64_12981
45×difference-of-squares_binary64_13005 distribute-lft-out--_binary64_12988
30×div-inv_binary64_13033
18×associate-/r*_binary64_12980
16×add-exp-log_binary64_13074 add-cbrt-cube_binary64_13072
div-exp_binary64_13087 cbrt-undiv_binary64_13070 associate-/r/_binary64_12982
pow1_binary64_13097 add-log-exp_binary64_13075 frac-2neg_binary64_13047 clear-num_binary64_13035
associate-/l/_binary64_12983 flip3--_binary64_13040 flip--_binary64_13011
Counts
2 → 358
Calls

2 calls:

21.0ms
(/.f64 (/.f64 x (/.f64 z 2)) (-.f64 y t))
7.0ms
(/.f64 x (/.f64 z 2))
Compiler

Compiled 8315 to 3909 computations (53% saved)

series237.0ms (3.4%)

Error
0b
Counts
2 → 18
Calls

2 calls:

171.0ms
(/.f64 (/.f64 x (/.f64 z 2)) (-.f64 y t))
58.0ms
(/.f64 x (/.f64 z 2))
Compiler

Compiled 537 to 423 computations (21.2% saved)

simplify131.0ms (1.9%)

Algorithm
egg-herbie
Counts
376 → 376
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
0507110357

prune352.0ms (5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New3760376
Fresh022
Picked011
Done022
Total3765381
Error
0b
Counts
381 → 5
Compiler

Compiled 7778 to 3191 computations (59% saved)

regimes706.0ms (10.1%)

Accuracy

Total 2.3b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 6502 to 5632 computations (13.4% saved)

bsearch3.0ms (0%)

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify3.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067106
167106

end0.0ms (0%)

sample1.6s (22.4%)

Algorithm
intervals
Results
284.0ms8000×body128valid
23.0ms726×body128invalid
Compiler

Compiled 1054 to 875 computations (17% saved)

Profiling

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