Details

Time bar (total: 2.9s)

analyze132.0ms (4.6%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0714
1714
022
122
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
25%74.9%0.1%4
43.7%56.2%0.1%5
65.6%34.3%0.1%6
76.5%23.4%0.1%7
82%18%0.1%8
87.8%12.1%0.1%9
90.7%9.2%0.1%10
93.8%6.1%0.1%11
95.3%4.6%0.1%12
96.8%3.1%0.1%13
97.6%2.3%0.1%14
Symmetry
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample18.0ms (0.6%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
167

prune2.0ms (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 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite31.0ms (1.1%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
18×*-un-lft-identity_binary64_9285
12×times-frac_binary64_9291
10×add-cube-cbrt_binary64_9320 add-sqr-sqrt_binary64_9307
4×distribute-lft-out_binary64_9236 associate-/r*_binary64_9229
3×add-exp-log_binary64_9323 add-cbrt-cube_binary64_9321 associate-/l*_binary64_9230
2×associate-/r/_binary64_9231
1×pow1_binary64_9346 div-exp_binary64_9336 add-log-exp_binary64_9324 cbrt-undiv_binary64_9319 frac-2neg_binary64_9296 clear-num_binary64_9284 div-inv_binary64_9282 flip3-+_binary64_9288 flip-+_binary64_9259
Counts
1 → 33
Calls

1 calls:

6.0ms
(/.f64 x (+.f64 x y))
Compiler

Compiled 404 to 116 computations (71.3% saved)

series95.0ms (3.3%)

Error
0.0b
Counts
1 → 24
Calls

1 calls:

76.0ms
(/.f64 x (+.f64 x y))
Compiler

Compiled 600 to 439 computations (26.8% saved)

simplify75.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04962794
14962794

prune38.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New54357
Fresh000
Picked011
Done000
Total54458
Error
0b
Counts
58 → 4
Compiler

Compiled 654 to 210 computations (67.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 1 (+.f64 x y))
0.2b
(*.f64 x (/.f64 1 (+.f64 x y)))

rewrite81.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
35×*-un-lft-identity_binary64_9285
27×add-sqr-sqrt_binary64_9307
26×times-frac_binary64_9291
20×add-cube-cbrt_binary64_9320
18×associate-*r*_binary64_9225
15×add-exp-log_binary64_9323
9×add-cbrt-cube_binary64_9321
7×distribute-lft-out_binary64_9236
5×pow1_binary64_9346
4×div-exp_binary64_9336 prod-exp_binary64_9334 associate-/r/_binary64_9231 associate-/r*_binary64_9229
3×unswap-sqr_binary64_9253 associate-*l*_binary64_9226 associate-/l*_binary64_9230
2×1-exp_binary64_9329 rec-exp_binary64_9335 add-log-exp_binary64_9324 cbrt-unprod_binary64_9318 cbrt-undiv_binary64_9319 div-inv_binary64_9282 flip3-+_binary64_9288 flip-+_binary64_9259
1×pow-prod-down_binary64_9356 un-div-inv_binary64_9283 associate-*r/_binary64_9227 *-commutative_binary64_9216 inv-pow_binary64_9370 pow-flip_binary64_9359 frac-2neg_binary64_9296 clear-num_binary64_9284
Counts
2 → 78
Calls

2 calls:

14.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
5.0ms
(/.f64 1 (+.f64 x y))
Compiler

Compiled 1106 to 560 computations (49.4% saved)

series189.0ms (6.6%)

Error
0b
Counts
2 → 48
Calls

2 calls:

76.0ms
(/.f64 1 (+.f64 x y))
74.0ms
(*.f64 x (/.f64 1 (+.f64 x y)))
Compiler

Compiled 1344 to 991 computations (26.3% saved)

simplify94.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
056021605

prune76.0ms (2.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh022
Picked011
Done011
Total1264130
Error
0b
Counts
130 → 4
Compiler

Compiled 1522 to 646 computations (57.6% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)

rewrite96.0ms (3.3%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
33×cbrt-prod_binary64_9316
29×*-un-lft-identity_binary64_9285
23×add-sqr-sqrt_binary64_9307
15×add-cube-cbrt_binary64_9320
12×cbrt-div_binary64_9317
11×pow1_binary64_9346
9×pow1/3_binary64_9367 swap-sqr_binary64_9252
7×associate-*l*_binary64_9226 associate-*r*_binary64_9225
6×add-exp-log_binary64_9323 flip3-+_binary64_9288 flip-+_binary64_9259 distribute-lft-out_binary64_9236
4×add-log-exp_binary64_9324 add-cbrt-cube_binary64_9321 frac-times_binary64_9295 unswap-sqr_binary64_9253
2×pow-prod-down_binary64_9356 pow-prod-up_binary64_9355 pow-sqr_binary64_9258 associate-*l/_binary64_9228 associate-*r/_binary64_9227
1×pow2_binary64_9366 pow-plus_binary64_9348 prod-exp_binary64_9334 cbrt-unprod_binary64_9318 *-commutative_binary64_9216
Counts
4 → 86
Calls

4 calls:

11.0ms
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 2586 to 432 computations (83.3% saved)

series432.0ms (15%)

Error
0b
Counts
4 → 27
Calls

4 calls:

183.0ms
(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
75.0ms
(cbrt.f64 x)
74.0ms
(cbrt.f64 x)
70.0ms
(cbrt.f64 x)
Compiler

Compiled 2127 to 1260 computations (40.8% saved)

simplify71.0ms (2.5%)

Algorithm
1×egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
050911434

prune101.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh011
Picked011
Done022
Total1134117
Error
0b
Counts
117 → 4
Compiler

Compiled 3069 to 664 computations (78.4% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(/.f64 x (+.f64 x y))
0.1b
(pow.f64 (/.f64 x (+.f64 x y)) 3)
12.9b
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))

rewrite142.0ms (4.9%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
78×*-un-lft-identity_binary64_9285
60×times-frac_binary64_9291
46×add-cube-cbrt_binary64_9320 add-sqr-sqrt_binary64_9307
42×cbrt-prod_binary64_9316
36×unpow-prod-down_binary64_9364 cube-prod_binary64_9313
16×distribute-lft-out_binary64_9236
10×associate-/r/_binary64_9231
8×add-exp-log_binary64_9323 add-cbrt-cube_binary64_9321
5×div-inv_binary64_9282 flip3-+_binary64_9288 flip-+_binary64_9259
4×pow1_binary64_9346 associate-/r*_binary64_9229
3×add-log-exp_binary64_9324 pow-unpow_binary64_9362 associate-/l*_binary64_9230
2×cube-div_binary64_9314 unpow3_binary64_9351 cube-mult_binary64_9315 sqr-pow_binary64_9257 div-exp_binary64_9336 pow-exp_binary64_9353 rem-cube-cbrt_binary64_9308 cbrt-undiv_binary64_9319
1×pow1/3_binary64_9367 cbrt-div_binary64_9317 rem-cbrt-cube_binary64_9309 pow-pow_binary64_9357 pow-to-exp_binary64_9354 frac-2neg_binary64_9296 clear-num_binary64_9284
Counts
3 → 141
Calls

3 calls:

8.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
7.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
5.0ms
(/.f64 x (+.f64 x y))
Compiler

Compiled 2470 to 1006 computations (59.3% saved)

series302.0ms (10.5%)

Error
0b
Counts
3 → 66
Calls

3 calls:

88.0ms
(pow.f64 (/.f64 x (+.f64 x y)) 3)
83.0ms
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x y)) 3))
74.0ms
(/.f64 x (+.f64 x y))
Compiler

Compiled 1968 to 1552 computations (21.1% saved)

simplify63.0ms (2.2%)

Algorithm
1×egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
055113238

prune131.0ms (4.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2070207
Fresh000
Picked011
Done033
Total2074211
Error
0b
Counts
211 → 4
Compiler

Compiled 2731 to 1032 computations (62.2% saved)

regimes82.0ms (2.9%)

Accuracy

Total 0.0b remaining (92.9%)

Threshold costs 0.0b (92.9%)

Compiler

Compiled 680 to 403 computations (40.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
167
Removed

()

end0.0ms (0%)

sample591.0ms (20.5%)

Algorithm
1×intervals
Results
154.0ms8000×body128valid
Compiler

Compiled 233 to 140 computations (39.9% saved)

Profiling

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