Details

Time bar (total: 6.1s)

analyze66.0ms (1.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
25%74.9%0.1%3
25%74.9%0.1%4
56.2%43.7%0.1%5
65.6%34.3%0.1%6
79.6%20.3%0.1%7
83.5%16.4%0.1%8
90.1%9.8%0.1%9
91.9%8%0.1%10
95.1%4.8%0.1%11
96%4%0.1%12
97.5%2.4%0.1%13
97.9%2%0.1%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample34.0ms (0.6%)

Algorithm
intervals
Results
19.0ms256×body128valid
Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify527.0ms (8.7%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (373.0ms)

IterNodesCost
0214213
1214213

prune4.0ms (0.1%)

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 14 computations (22.2% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))

rewrite115.0ms (1.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
58×*-un-lft-identity_binary64_21220
40×add-sqr-sqrt_binary64_21242
30×times-frac_binary64_21226
19×distribute-lft-out--_binary64_21172
14×add-cube-cbrt_binary64_21255
13×difference-of-squares_binary64_21189
distribute-lft-out_binary64_21171 associate-/r*_binary64_21164
associate-/l*_binary64_21165
add-exp-log_binary64_21258 add-cbrt-cube_binary64_21256
flip3--_binary64_21224 associate-/l/_binary64_21167 flip--_binary64_21195 associate-/r/_binary64_21166
pow1_binary64_21281 div-exp_binary64_21271 add-log-exp_binary64_21259 cbrt-undiv_binary64_21254 frac-2neg_binary64_21231 div-sub_binary64_21225 clear-num_binary64_21219 div-inv_binary64_21217
Counts
1 → 58
Calls

1 calls:

20.0ms
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Compiler

Compiled 1117 to 472 computations (57.7% saved)

series296.0ms (4.9%)

Error
0b
Counts
1 → 20
Calls

1 calls:

246.0ms
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 x y)))
Compiler

Compiled 1186 to 937 computations (21% saved)

simplify118.0ms (1.9%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
049651990
149651990

prune116.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New76278
Fresh000
Picked011
Done000
Total76379
Error
0b
Counts
79 → 3
Compiler

Compiled 1519 to 730 computations (51.9% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
0.1b
(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3)
6.2b
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3))

rewrite610.0ms (10.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
258×*-un-lft-identity_binary64_21220
180×add-sqr-sqrt_binary64_21242
150×times-frac_binary64_21226
83×distribute-lft-out--_binary64_21172
78×cbrt-prod_binary64_21251
72×unpow-prod-down_binary64_21299 cube-prod_binary64_21248
66×add-cube-cbrt_binary64_21255
57×difference-of-squares_binary64_21189
26×distribute-lft-out_binary64_21171
10×associate-/r/_binary64_21166
add-exp-log_binary64_21258 add-cbrt-cube_binary64_21256
flip3--_binary64_21224 flip--_binary64_21195 associate-/r*_binary64_21164
div-inv_binary64_21217 associate-/l*_binary64_21165
pow1_binary64_21281
add-log-exp_binary64_21259 pow-unpow_binary64_21297
cube-div_binary64_21249 unpow3_binary64_21286 cube-mult_binary64_21250 sqr-pow_binary64_21192 div-exp_binary64_21271 pow-exp_binary64_21288 rem-cube-cbrt_binary64_21243 cbrt-undiv_binary64_21254 associate-/l/_binary64_21167
pow1/3_binary64_21302 cbrt-div_binary64_21252 rem-cbrt-cube_binary64_21244 pow-pow_binary64_21292 pow-to-exp_binary64_21289 frac-2neg_binary64_21231 div-sub_binary64_21225 clear-num_binary64_21219
Counts
3 → 238
Calls

3 calls:

29.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3))
26.0ms
(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3)
19.0ms
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
Compiler

Compiled 5946 to 3109 computations (47.7% saved)

series1.2s (20%)

Error
0b
Counts
3 → 60
Calls

3 calls:

540.0ms
(pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3)
263.0ms
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x))) 3))
241.0ms
(/.f64 (-.f64 x y) (-.f64 2 (+.f64 y x)))
Compiler

Compiled 4464 to 3620 computations (18.9% saved)

simplify182.0ms (3%)

Algorithm
egg-herbie
Counts
298 → 298
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050049015

prune552.0ms (9.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2980298
Fresh011
Picked011
Done011
Total2983301
Error
0b
Counts
301 → 3
Compiler

Compiled 6872 to 3570 computations (48.1% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 1 (/.f64 2 x))
0.0b
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))

rewrite93.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0b
Rules
add-log-exp_binary64_21259
*-un-lft-identity_binary64_21220
cancel-sign-sub-inv_binary64_21186
add-cube-cbrt_binary64_21255 add-sqr-sqrt_binary64_21242
sum-log_binary64_21311 diff-log_binary64_21312 pow1_binary64_21281 add-exp-log_binary64_21258 add-cbrt-cube_binary64_21256 flip3-+_binary64_21223 associate-*r/_binary64_21162 frac-sub_binary64_21229 flip-+_binary64_21194 distribute-lft-out_binary64_21171
flip3--_binary64_21224 sub-neg_binary64_21213 flip--_binary64_21195 associate--r+_binary64_21156 +-commutative_binary64_21150
Counts
2 → 31
Calls

2 calls:

21.0ms
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
12.0ms
(+.f64 1 (/.f64 2 x))
Compiler

Compiled 663 to 480 computations (27.6% saved)

series263.0ms (4.3%)

Error
0b
Counts
2 → 18
Calls

2 calls:

202.0ms
(-.f64 (*.f64 2 (/.f64 y x)) (+.f64 1 (/.f64 2 x)))
44.0ms
(+.f64 1 (/.f64 2 x))
Compiler

Compiled 453 to 387 computations (14.6% saved)

simplify128.0ms (2.1%)

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (107.0ms)

IterNodesCost
04962629
14962629

prune63.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New49049
Fresh000
Picked011
Done022
Total49352
Error
0b
Counts
52 → 3
Compiler

Compiled 639 to 460 computations (28% saved)

regimes206.0ms (3.4%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Compiler

Compiled 1099 to 889 computations (19.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03713
13713

end0.0ms (0%)

sample1.4s (23.8%)

Algorithm
intervals
Results
366.0ms8000×body128valid
Compiler

Compiled 393 to 316 computations (19.6% saved)

Profiling

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