Details

Time bar (total: 7.8s)

analyze821.0ms (10.5%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01579112
11579112
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
12.5%87.3%0.2%7
18.7%81.1%0.2%8
46.8%53%0.2%9
47.6%52.2%0.2%10
48.3%51.5%0.2%11
54.2%45.6%0.2%12
67.6%32.2%0.2%13
68.2%31.6%0.2%14
Symmetry

(sort y z)

Compiler

Compiled 14 to 14 computations (0% saved)

sample31.0ms (0.4%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
1.0ms39×body128invalid
Compiler

Compiled 27 to 31 computations (-14.8% saved)

simplify22.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
041716
141716

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112
Error
0.0b
Counts
2 → 1
Compiler

Compiled 22 to 22 computations (0% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 (*.f64 y z) 2)) t)
0.0b
(-.f64 (*.f64 1/8 x) (/.f64 (*.f64 y z) 2))
0.0b
(/.f64 (*.f64 y z) 2)

rewrite92.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
14×cancel-sign-sub-inv_binary64_18117
11×*-un-lft-identity_binary64_18151
10×add-log-exp_binary64_18190
9×add-cube-cbrt_binary64_18186 add-sqr-sqrt_binary64_18173 times-frac_binary64_18157
8×add-exp-log_binary64_18189 add-cbrt-cube_binary64_18187 associate-+l+_binary64_18084
3×pow1_binary64_18212 div-inv_binary64_18148 associate-/r*_binary64_18095
2×div-exp_binary64_18202 cbrt-undiv_binary64_18185 diff-log_binary64_18243 sub-neg_binary64_18144 sum-log_binary64_18242
1×prod-exp_binary64_18200 cbrt-unprod_binary64_18184 frac-2neg_binary64_18162 clear-num_binary64_18150 associate-/l*_binary64_18096 flip3--_binary64_18155 flip--_binary64_18126 flip3-+_binary64_18154 flip-+_binary64_18125 distribute-lft-out_binary64_18102 associate-+l-_binary64_18086 +-commutative_binary64_18081
Counts
3 → 61
Calls

3 calls:

8.0ms
(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 (*.f64 y z) 2)) t)
6.0ms
(-.f64 (*.f64 1/8 x) (/.f64 (*.f64 y z) 2))
4.0ms
(/.f64 (*.f64 y z) 2)
Compiler

Compiled 1144 to 719 computations (37.2% saved)

series611.0ms (7.8%)

Error
0.0b
Counts
3 → 48
Calls

3 calls:

296.0ms
(+.f64 (-.f64 (*.f64 1/8 x) (/.f64 (*.f64 y z) 2)) t)
203.0ms
(-.f64 (*.f64 1/8 x) (/.f64 (*.f64 y z) 2))
80.0ms
(/.f64 (*.f64 y z) 2)
Compiler

Compiled 1109 to 962 computations (13.3% saved)

simplify73.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049311345
149311345

prune94.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New1081109
Fresh000
Picked011
Done000
Total1082110
Error
0b
Counts
110 → 2
Compiler

Compiled 1384 to 820 computations (40.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t))) (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t))))
0.5b
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t)))
0.5b
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t)))
0.5b
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t)))

rewrite310.0ms (4%)

Algorithm
1×rewrite-expression-head
Error
0b
Rules
25×cbrt-prod_binary64_18182
23×add-sqr-sqrt_binary64_18173
18×cbrt-div_binary64_18183
15×add-cube-cbrt_binary64_18186 *-un-lft-identity_binary64_18151
11×pow1_binary64_18212
9×pow1/3_binary64_18233 flip3-+_binary64_18154 flip-+_binary64_18125
6×add-exp-log_binary64_18189 swap-sqr_binary64_18118 associate-*l*_binary64_18092 associate-*r*_binary64_18091
4×add-log-exp_binary64_18190 add-cbrt-cube_binary64_18187 frac-times_binary64_18161 unswap-sqr_binary64_18119
2×pow-prod-down_binary64_18222 pow-prod-up_binary64_18221 pow-sqr_binary64_18124 associate-*l/_binary64_18094 associate-*r/_binary64_18093
1×pow2_binary64_18232 pow-plus_binary64_18214 prod-exp_binary64_18200 cbrt-unprod_binary64_18184 *-commutative_binary64_18082
Counts
4 → 87
Calls

4 calls:

20.0ms
(*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t))) (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t))))
10.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t)))
7.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t)))
7.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t)))
Compiler

Compiled 4856 to 3031 computations (37.6% saved)

series3.6s (46.6%)

Error
0b
Counts
4 → 100
Calls

4 calls:

1.2s
(*.f64 (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t))) (cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t))))
720.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t)))
706.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t)))
698.0ms
(cbrt.f64 (+.f64 (*.f64 (*.f64 z y) -1/2) (+.f64 (*.f64 1/8 x) t)))
Compiler

Compiled 16237 to 12387 computations (23.7% saved)

simplify91.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
187 → 187
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050307295

prune587.0ms (7.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

PrunedKeptTotal
New1870187
Fresh000
Picked011
Done011
Total1872189
Error
0b
Counts
189 → 2
Compiler

Compiled 9192 to 5909 computations (35.7% saved)

regimes360.0ms (4.6%)

Accuracy

Total 0.0b remaining (38.9%)

Threshold costs 0.0b (38.9%)

Compiler

Compiled 3097 to 2777 computations (10.3% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05016
15016
Remove

(sort y z)

Compiler

Compiled 22 to 22 computations (0% saved)

end0.0ms (0%)

sample1.1s (13.6%)

Algorithm
1×intervals
Results
316.0ms7999×body128valid
47.0ms1164×body128invalid
0.0ms1×body1024valid
Compiler

Compiled 371 to 335 computations (9.7% saved)

Profiling

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