Details

Time bar (total: 6.4s)

analyze848.0ms (13.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0519691
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
0%99.8%0.2%8
6.2%93.6%0.2%9
9.4%90.4%0.2%10
12.5%85.6%1.9%11
19.8%76.5%3.7%12
26.1%64.4%9.6%13
31.7%54.5%13.7%14
Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.4%)

Algorithm
intervals
Results
7.0ms256×body128valid
2.0ms70×body128invalid
Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify136.0ms (2.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (131.0ms)

IterNodesCost
0158213
1158213

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite67.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
14×add-sqr-sqrt_binary64_18173
12×*-un-lft-identity_binary64_18151 cancel-sign-sub-inv_binary64_18117
add-cube-cbrt_binary64_18186 distribute-rgt-in_binary64_18101 distribute-lft-in_binary64_18100 associate-+r+_binary64_18083
flip3--_binary64_18155 flip--_binary64_18126
associate-*l*_binary64_18092 associate-*r*_binary64_18091
pow1_binary64_18212 add-exp-log_binary64_18189 add-log-exp_binary64_18190 add-cbrt-cube_binary64_18187 frac-times_binary64_18161 sub-neg_binary64_18144
associate-*l/_binary64_18094 associate-*r/_binary64_18093 difference-of-squares_binary64_18120 distribute-lft-out--_binary64_18103
pow-prod-down_binary64_18222 prod-exp_binary64_18200 cbrt-unprod_binary64_18184 unswap-sqr_binary64_18119 *-commutative_binary64_18082 sum-log_binary64_18242 flip3-+_binary64_18154 flip-+_binary64_18125 +-commutative_binary64_18081
Counts
2 → 57
Calls

2 calls:

16.0ms
(*.f64 (-.f64 y z) (-.f64 t x))
5.0ms
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
Compiler

Compiled 1056 to 258 computations (75.6% saved)

series504.0ms (7.9%)

Error
0b
Counts
2 → 48
Calls

2 calls:

280.0ms
(+.f64 x (*.f64 (-.f64 y z) (-.f64 t x)))
194.0ms
(*.f64 (-.f64 y z) (-.f64 t x))
Compiler

Compiled 1588 to 833 computations (47.5% saved)

simplify74.0ms (1.2%)

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
051231382

prune71.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1014105
Fresh000
Picked011
Done000
Total1015106
Error
0b
Counts
106 → 5
Compiler

Compiled 1397 to 290 computations (79.2% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite125.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
24×add-sqr-sqrt_binary64_18173 cancel-sign-sub-inv_binary64_18117
22×*-un-lft-identity_binary64_18151
16×add-cube-cbrt_binary64_18186 distribute-rgt-in_binary64_18101 distribute-lft-in_binary64_18100
12×associate-*r/_binary64_18093
11×add-log-exp_binary64_18190
10×associate-*r*_binary64_18091
associate-+r+_binary64_18083
pow1_binary64_18212 add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187 sub-neg_binary64_18144 associate-+l+_binary64_18084
flip3--_binary64_18155 flip--_binary64_18126 associate-*l*_binary64_18092
sum-log_binary64_18242 frac-add_binary64_18159
pow-prod-down_binary64_18222 prod-exp_binary64_18200 cbrt-unprod_binary64_18184 unswap-sqr_binary64_18119 difference-of-squares_binary64_18120 distribute-lft-out--_binary64_18103 *-commutative_binary64_18082 flip3-+_binary64_18154 flip-+_binary64_18125 +-commutative_binary64_18081
distribute-lft-out_binary64_18102
Counts
4 → 105
Calls

4 calls:

10.0ms
(+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 z y)))
7.0ms
(+.f64 x (+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 z y))))
7.0ms
(*.f64 x (-.f64 z y))
7.0ms
(*.f64 t (-.f64 y z))
Compiler

Compiled 2309 to 524 computations (77.3% saved)

series804.0ms (12.6%)

Error
0b
Counts
4 → 78
Calls

4 calls:

283.0ms
(+.f64 x (+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 z y))))
267.0ms
(+.f64 (*.f64 t (-.f64 y z)) (*.f64 x (-.f64 z y)))
105.0ms
(*.f64 x (-.f64 z y))
104.0ms
(*.f64 t (-.f64 y z))
Compiler

Compiled 2658 to 1375 computations (48.3% saved)

simplify84.0ms (1.3%)

Algorithm
egg-herbie
Counts
183 → 183
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
051472477

prune110.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1821183
Fresh123
Picked011
Done101
Total1844188
Error
0b
Counts
188 → 4
Compiler

Compiled 2963 to 447 computations (84.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite129.0ms (2%)

Algorithm
rewrite-expression-head
Error
0b
Rules
32×cancel-sign-sub-inv_binary64_18117
26×add-sqr-sqrt_binary64_18173
24×*-un-lft-identity_binary64_18151
20×distribute-rgt-in_binary64_18101 distribute-lft-in_binary64_18100
18×add-cube-cbrt_binary64_18186
16×associate--l+_binary64_18088 associate-*r/_binary64_18093
12×sub-neg_binary64_18144
11×add-log-exp_binary64_18190
10×associate-+r+_binary64_18083 associate-*r*_binary64_18091
flip3--_binary64_18155 flip--_binary64_18126
pow1_binary64_18212 add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187 associate--r+_binary64_18087
associate-*l*_binary64_18092
frac-sub_binary64_18160
diff-log_binary64_18243 sum-log_binary64_18242 pow-prod-down_binary64_18222 prod-exp_binary64_18200 cbrt-unprod_binary64_18184 unswap-sqr_binary64_18119 difference-of-squares_binary64_18120 distribute-lft-out--_binary64_18103 *-commutative_binary64_18082 sub-div_binary64_18158
flip3-+_binary64_18154 flip-+_binary64_18125 distribute-lft-out_binary64_18102 associate-+r-_binary64_18085 +-commutative_binary64_18081 distribute-rgt-out--_binary64_18105
Counts
4 → 119
Calls

4 calls:

9.0ms
(-.f64 (*.f64 y (-.f64 t x)) (*.f64 z (-.f64 t x)))
9.0ms
(+.f64 x (-.f64 (*.f64 y (-.f64 t x)) (*.f64 z (-.f64 t x))))
8.0ms
(*.f64 z (-.f64 t x))
7.0ms
(*.f64 y (-.f64 t x))
Compiler

Compiled 2573 to 551 computations (78.6% saved)

series774.0ms (12.2%)

Error
0b
Counts
4 → 78
Calls

4 calls:

289.0ms
(+.f64 x (-.f64 (*.f64 y (-.f64 t x)) (*.f64 z (-.f64 t x))))
256.0ms
(-.f64 (*.f64 y (-.f64 t x)) (*.f64 z (-.f64 t x)))
95.0ms
(*.f64 y (-.f64 t x))
88.0ms
(*.f64 z (-.f64 t x))
Compiler

Compiled 2658 to 1368 computations (48.5% saved)

simplify94.0ms (1.5%)

Algorithm
egg-herbie
Counts
197 → 197
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
049902252
149902252

prune116.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1961197
Fresh202
Picked011
Done011
Total1983201
Error
0b
Counts
201 → 3
Compiler

Compiled 2926 to 458 computations (84.3% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite35.0ms (0.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
10×*-un-lft-identity_binary64_18151
add-sqr-sqrt_binary64_18173
cancel-sign-sub-inv_binary64_18117 associate-*r*_binary64_18091
add-cube-cbrt_binary64_18186 distribute-rgt-in_binary64_18101 distribute-lft-in_binary64_18100
pow1_binary64_18212 add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187 associate-*l*_binary64_18092
sub-neg_binary64_18144 associate--l+_binary64_18088 associate-*r/_binary64_18093 distribute-lft-out--_binary64_18103
pow-prod-down_binary64_18222 prod-exp_binary64_18200 add-log-exp_binary64_18190 cbrt-unprod_binary64_18184 unswap-sqr_binary64_18119 flip3--_binary64_18155 flip--_binary64_18126 difference-of-squares_binary64_18120 distribute-lft-out_binary64_18102 *-commutative_binary64_18082
Counts
1 → 33
Calls

1 calls:

9.0ms
(*.f64 x (-.f64 (+.f64 z 1) y))
Compiler

Compiled 459 to 281 computations (38.8% saved)

series110.0ms (1.7%)

Error
0b
Counts
1 → 15
Calls

1 calls:

102.0ms
(*.f64 x (-.f64 (+.f64 z 1) y))
Compiler

Compiled 277 to 214 computations (22.7% saved)

simplify119.0ms (1.9%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (106.0ms)

IterNodesCost
04930533
14930533

prune30.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New48048
Fresh000
Picked011
Done022
Total48351
Error
0b
Counts
51 → 3
Compiler

Compiled 485 to 247 computations (49.1% saved)

regimes588.0ms (9.2%)

Accuracy

Total 0.0b remaining (87.7%)

Threshold costs 0.0b (87.7%)

Compiler

Compiled 4945 to 3944 computations (20.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07825
17825

end0.0ms (0%)

sample1.5s (23.4%)

Algorithm
intervals
Results
236.0ms8000×body128valid
73.0ms2566×body128invalid
Compiler

Compiled 823 to 658 computations (20% saved)

Profiling

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