Details

Time bar (total: 8.5s)

analyze875.0ms (10.3%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0533164
033
133
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
0%99.9%0.1%6
25%74.9%0.1%7
31.2%68.6%0.1%8
35.9%64%0.1%9
47.6%49.9%2.5%10
49.1%46.8%4%11
51.1%44.1%4.8%12
60.2%29.9%9.9%13
60.6%27.9%11.6%14
Symmetry

(sort x y)

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample28.0ms (0.3%)

Algorithm
intervals
Results
8.0ms256×body128valid
2.0ms48×body128invalid
Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify124.0ms (1.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (118.0ms)

IterNodesCost
0534616

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
14.4b
Counts
2 → 1
Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.1b
(*.f64 (*.f64 z z) (+.f64 z 1))
13.9b
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))

rewrite98.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
6.4b
Rules
28×add-exp-log_binary64_9323 add-cbrt-cube_binary64_9321
12×prod-exp_binary64_9334 cbrt-unprod_binary64_9318
pow1_binary64_9346
div-exp_binary64_9336 cbrt-undiv_binary64_9319
*-un-lft-identity_binary64_9285
add-sqr-sqrt_binary64_9307 associate-*r/_binary64_9227 associate-*r*_binary64_9225
add-cube-cbrt_binary64_9320 pow-prod-down_binary64_9356
add-log-exp_binary64_9324 flip3-+_binary64_9288 associate-/r/_binary64_9231 flip-+_binary64_9259
frac-2neg_binary64_9296 times-frac_binary64_9291 clear-num_binary64_9284 div-inv_binary64_9282 associate-/l*_binary64_9230 associate-/r*_binary64_9229 unswap-sqr_binary64_9253 distribute-rgt-in_binary64_9235 distribute-lft-in_binary64_9234 associate-*l*_binary64_9226 distribute-lft-out_binary64_9236 *-commutative_binary64_9216
Counts
2 → 51
Calls

2 calls:

17.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
12.0ms
(*.f64 (*.f64 z z) (+.f64 z 1))
Compiler

Compiled 1000 to 448 computations (55.2% saved)

series340.0ms (4%)

Error
14.4b
Counts
2 → 24
Calls

2 calls:

263.0ms
(/.f64 (*.f64 x y) (*.f64 (*.f64 z z) (+.f64 z 1)))
51.0ms
(*.f64 (*.f64 z z) (+.f64 z 1))
Compiler

Compiled 763 to 504 computations (33.9% saved)

simplify76.0ms (0.9%)

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049611149
149611149

prune85.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New66975
Fresh000
Picked101
Done000
Total67976
Error
2.7b
Counts
76 → 9
Compiler

Compiled 1156 to 564 computations (51.2% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 y (+.f64 z 1))
6.6b
(/.f64 x (*.f64 z z))
7.1b
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))

rewrite180.0ms (2.1%)

Algorithm
rewrite-expression-head
Error
0.3b
Rules
38×*-un-lft-identity_binary64_9285
34×add-sqr-sqrt_binary64_9307 times-frac_binary64_9291
31×add-exp-log_binary64_9323 add-cbrt-cube_binary64_9321
24×add-cube-cbrt_binary64_9320
18×associate-*r*_binary64_9225
10×div-exp_binary64_9336 cbrt-undiv_binary64_9319
prod-exp_binary64_9334 cbrt-unprod_binary64_9318
associate-*l*_binary64_9226 distribute-lft-out_binary64_9236
associate-/l*_binary64_9230
pow1_binary64_9346 associate-/r*_binary64_9229
unswap-sqr_binary64_9253 div-inv_binary64_9282 associate-/r/_binary64_9231
add-log-exp_binary64_9324
flip3-+_binary64_9288 flip-+_binary64_9259 frac-2neg_binary64_9296 clear-num_binary64_9284
pow-prod-down_binary64_9356 frac-times_binary64_9295 associate-*l/_binary64_9228 associate-*r/_binary64_9227 *-commutative_binary64_9216
Counts
3 → 107
Calls

3 calls:

23.0ms
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
8.0ms
(/.f64 y (+.f64 z 1))
4.0ms
(/.f64 x (*.f64 z z))
Compiler

Compiled 2044 to 909 computations (55.5% saved)

series413.0ms (4.8%)

Error
2.7b
Counts
3 → 39
Calls

3 calls:

220.0ms
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y (+.f64 z 1)))
92.0ms
(/.f64 x (*.f64 z z))
67.0ms
(/.f64 y (+.f64 z 1))
Compiler

Compiled 1323 to 847 computations (36% saved)

simplify101.0ms (1.2%)

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
050482208

prune141.0ms (1.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1406146
Fresh448
Picked011
Done000
Total14411155
Error
0.3b
Counts
155 → 11
Compiler

Compiled 2449 to 1081 computations (55.9% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.9b
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 y (+.f64 z 1)) (/.f64 (cbrt.f64 x) z)))

rewrite133.0ms (1.6%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
73×add-exp-log_binary64_9323
57×add-cbrt-cube_binary64_9321
32×prod-exp_binary64_9334 cbrt-unprod_binary64_9318
22×div-exp_binary64_9336 cbrt-undiv_binary64_9319
pow1_binary64_9346 add-cube-cbrt_binary64_9320 add-sqr-sqrt_binary64_9307 *-un-lft-identity_binary64_9285 cbrt-prod_binary64_9316
associate-*l*_binary64_9226
frac-times_binary64_9295 associate-*r/_binary64_9227
add-log-exp_binary64_9324
pow-prod-down_binary64_9356 associate-*l/_binary64_9228 times-frac_binary64_9291 pow1/3_binary64_9367
div-inv_binary64_9282 associate-*r*_binary64_9225 *-commutative_binary64_9216
Counts
4 → 88
Calls

4 calls:

17.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 y (+.f64 z 1)) (/.f64 (cbrt.f64 x) z)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 2438 to 801 computations (67.1% saved)

series598.0ms (7%)

Error
0.3b
Counts
4 → 27
Calls

4 calls:

311.0ms
(*.f64 (/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 y (+.f64 z 1)) (/.f64 (cbrt.f64 x) z)))
97.0ms
(cbrt.f64 x)
93.0ms
(cbrt.f64 x)
76.0ms
(cbrt.f64 x)
Compiler

Compiled 1201 to 797 computations (33.6% saved)

simplify101.0ms (1.2%)

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
051281591

prune117.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1132115
Fresh189
Picked011
Done101
Total11511126
Error
0.0b
Counts
126 → 11
Compiler

Compiled 2115 to 936 computations (55.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 y (+.f64 z 1))
1.5b
(*.f64 (/.f64 1 z) (*.f64 (/.f64 y (+.f64 z 1)) (/.f64 x z)))
3.0b
(*.f64 (/.f64 y (+.f64 z 1)) (/.f64 x z))

rewrite280.0ms (3.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
94×add-exp-log_binary64_9323
58×add-cbrt-cube_binary64_9321
48×*-un-lft-identity_binary64_9285
46×add-sqr-sqrt_binary64_9307 times-frac_binary64_9291
40×prod-exp_binary64_9334
34×add-cube-cbrt_binary64_9320
31×div-exp_binary64_9336 associate-*l*_binary64_9226
22×cbrt-unprod_binary64_9318
18×cbrt-undiv_binary64_9319
14×associate-*r*_binary64_9225
10×pow1_binary64_9346
distribute-lft-out_binary64_9236
frac-times_binary64_9295 associate-*r/_binary64_9227
1-exp_binary64_9329 rec-exp_binary64_9335
pow-prod-down_binary64_9356 unswap-sqr_binary64_9253 associate-*l/_binary64_9228 div-inv_binary64_9282 associate-/r/_binary64_9231 associate-/r*_binary64_9229
add-log-exp_binary64_9324 associate-/l*_binary64_9230
flip3-+_binary64_9288 flip-+_binary64_9259 *-commutative_binary64_9216
frac-2neg_binary64_9296 clear-num_binary64_9284
Counts
3 → 149
Calls

3 calls:

28.0ms
(*.f64 (/.f64 1 z) (*.f64 (/.f64 y (+.f64 z 1)) (/.f64 x z)))
23.0ms
(*.f64 (/.f64 y (+.f64 z 1)) (/.f64 x z))
9.0ms
(/.f64 y (+.f64 z 1))
Compiler

Compiled 3240 to 1791 computations (44.7% saved)

series538.0ms (6.3%)

Error
0.0b
Counts
3 → 51
Calls

3 calls:

245.0ms
(*.f64 (/.f64 1 z) (*.f64 (/.f64 y (+.f64 z 1)) (/.f64 x z)))
173.0ms
(*.f64 (/.f64 y (+.f64 z 1)) (/.f64 x z))
79.0ms
(/.f64 y (+.f64 z 1))
Compiler

Compiled 1929 to 1230 computations (36.2% saved)

simplify112.0ms (1.3%)

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
049753291
149753291

prune207.0ms (2.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1973200
Fresh189
Picked011
Done011
Total19813211
Error
0.0b
Counts
211 → 13
Compiler

Compiled 3430 to 1764 computations (48.6% saved)

regimes1.3s (15.3%)

Accuracy

Total 1.1b remaining (99.5%)

Threshold costs 0b (0%)

Compiler

Compiled 9814 to 7292 computations (25.7% saved)

bsearch0.0ms (0%)

simplify15.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01728
11728
Compiler

Compiled 36 to 24 computations (33.3% saved)

end0.0ms (0%)

sample2.6s (30.7%)

Algorithm
intervals
Results
351.0ms8000×body128valid
63.0ms1545×body128invalid
Compiler

Compiled 1528 to 1134 computations (25.8% saved)

Profiling

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