Details

Time bar (total: 8.1s)

analyze1.2s (14.5%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0270070
1270070
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
25%74.9%0.2%7
25%74.9%0.2%8
34.3%65.5%0.2%9
39%60.8%0.2%10
48.3%51.5%0.2%11
53.7%46.1%0.2%12
63.1%36.7%0.2%13
64%35.6%0.4%14
Symmetry

(sort z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample30.0ms (0.4%)

Algorithm
intervals
Results
9.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify13.0ms (0.2%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (7.0ms)

IterNodesCost
012610
112610

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
2.0b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 y (*.f64 z t))
2.0b
(/.f64 x (-.f64 y (*.f64 z t)))

rewrite69.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
1.9b
Rules
10×add-cube-cbrt_binary64_20232 add-sqr-sqrt_binary64_20219 *-un-lft-identity_binary64_20197
times-frac_binary64_20203
add-exp-log_binary64_20235 add-log-exp_binary64_20236 add-cbrt-cube_binary64_20233
associate-/l*_binary64_20142 associate-/r*_binary64_20141
pow1_binary64_20258 flip3--_binary64_20201 associate-/r/_binary64_20143 flip--_binary64_20172
div-exp_binary64_20248 cbrt-undiv_binary64_20231 frac-2neg_binary64_20208 clear-num_binary64_20196 div-inv_binary64_20194 diff-log_binary64_20289 sub-neg_binary64_20190 cancel-sign-sub-inv_binary64_20163
Counts
2 → 41
Calls

2 calls:

5.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
3.0ms
(-.f64 y (*.f64 z t))
Compiler

Compiled 636 to 145 computations (77.2% saved)

series378.0ms (4.7%)

Error
2.0b
Counts
2 → 53
Calls

2 calls:

249.0ms
(/.f64 x (-.f64 y (*.f64 z t)))
87.0ms
(-.f64 y (*.f64 z t))
Compiler

Compiled 1884 to 1294 computations (31.3% saved)

simplify81.0ms (1%)

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049821653
149821653

prune103.0ms (1.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New85994
Fresh000
Picked011
Done000
Total851095
Error
1.9b
Counts
95 → 10
Compiler

Compiled 1468 to 408 computations (72.2% saved)

localize14.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (*.f64 t z))
0.3b
(/.f64 1 (-.f64 y (*.f64 t z)))
1.8b
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))

rewrite98.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
1.9b
Rules
26×add-sqr-sqrt_binary64_20219
20×*-un-lft-identity_binary64_20197 times-frac_binary64_20203
19×add-cube-cbrt_binary64_20232
16×add-exp-log_binary64_20235
15×associate-*r*_binary64_20137
10×add-cbrt-cube_binary64_20233
pow1_binary64_20258
add-log-exp_binary64_20236
div-exp_binary64_20248 prod-exp_binary64_20246 associate-/r/_binary64_20143
unswap-sqr_binary64_20165 associate-*l*_binary64_20138 flip3--_binary64_20201 flip--_binary64_20172 associate-/l*_binary64_20142 associate-/r*_binary64_20141
1-exp_binary64_20241 rec-exp_binary64_20247 cbrt-unprod_binary64_20230 cbrt-undiv_binary64_20231 div-inv_binary64_20194
pow-prod-down_binary64_20268 un-div-inv_binary64_20195 associate-*r/_binary64_20139 *-commutative_binary64_20128 inv-pow_binary64_20282 pow-flip_binary64_20271 frac-2neg_binary64_20208 clear-num_binary64_20196 diff-log_binary64_20289 sub-neg_binary64_20190 cancel-sign-sub-inv_binary64_20163
Counts
3 → 83
Calls

3 calls:

10.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))
5.0ms
(/.f64 1 (-.f64 y (*.f64 t z)))
3.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 1456 to 565 computations (61.2% saved)

series634.0ms (7.9%)

Error
1.9b
Counts
3 → 85
Calls

3 calls:

256.0ms
(*.f64 x (/.f64 1 (-.f64 y (*.f64 t z))))
187.0ms
(/.f64 1 (-.f64 y (*.f64 t z)))
93.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 3436 to 2511 computations (26.9% saved)

simplify120.0ms (1.5%)

Algorithm
egg-herbie
Counts
168 → 168
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049722943
149722943

prune148.0ms (1.8%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1680168
Fresh088
Picked011
Done011
Total16810178
Error
1.9b
Counts
178 → 10
Compiler

Compiled 2748 to 916 computations (66.7% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 y (*.f64 t z))
0.8b
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
2.0b
(/.f64 (-.f64 y (*.f64 t z)) x)

rewrite124.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
1.9b
Rules
84×times-frac_binary64_20203
53×add-cube-cbrt_binary64_20232 add-sqr-sqrt_binary64_20219 *-un-lft-identity_binary64_20197
16×add-exp-log_binary64_20235 associate-/r*_binary64_20141
10×add-cbrt-cube_binary64_20233
div-exp_binary64_20248
div-inv_binary64_20194 associate-/l*_binary64_20142
add-log-exp_binary64_20236
pow1_binary64_20258 cbrt-undiv_binary64_20231
frac-2neg_binary64_20208 clear-num_binary64_20196 flip3--_binary64_20201 associate-/l/_binary64_20144 flip--_binary64_20172 1-exp_binary64_20241 rec-exp_binary64_20247
div-sub_binary64_20202 inv-pow_binary64_20282 pow-flip_binary64_20271 associate-/r/_binary64_20143 diff-log_binary64_20289 sub-neg_binary64_20190 cancel-sign-sub-inv_binary64_20163
Counts
3 → 118
Calls

3 calls:

14.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
8.0ms
(/.f64 (-.f64 y (*.f64 t z)) x)
3.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 2311 to 727 computations (68.5% saved)

series684.0ms (8.5%)

Error
1.9b
Counts
3 → 74
Calls

3 calls:

283.0ms
(/.f64 1 (/.f64 (-.f64 y (*.f64 t z)) x))
237.0ms
(/.f64 (-.f64 y (*.f64 t z)) x)
101.0ms
(-.f64 y (*.f64 t z))
Compiler

Compiled 2488 to 1760 computations (29.3% saved)

simplify102.0ms (1.3%)

Algorithm
egg-herbie
Counts
192 → 192
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049673523
149673523

prune157.0ms (1.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1920192
Fresh077
Picked011
Done022
Total19210202
Error
1.9b
Counts
202 → 10
Compiler

Compiled 3066 to 830 computations (72.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
1.2b
(/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x))
1.2b
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x)))

rewrite192.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
1.9b
Rules
76×times-frac_binary64_20203
47×add-cube-cbrt_binary64_20232 add-sqr-sqrt_binary64_20219 *-un-lft-identity_binary64_20197
36×cbrt-prod_binary64_20228
28×associate-/r*_binary64_20141
18×add-exp-log_binary64_20235
11×add-cbrt-cube_binary64_20233
div-exp_binary64_20248 cbrt-undiv_binary64_20231
pow1_binary64_20258 add-log-exp_binary64_20236 div-inv_binary64_20194 associate-/l*_binary64_20142
prod-exp_binary64_20246 cbrt-unprod_binary64_20230 frac-2neg_binary64_20208 clear-num_binary64_20196 associate-/l/_binary64_20144 pow1/3_binary64_20279
associate-/r/_binary64_20143 div-sub_binary64_20202 flip3--_binary64_20201 flip--_binary64_20172
Counts
4 → 128
Calls

4 calls:

22.0ms
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x)))
9.0ms
(/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x))
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)
Compiler

Compiled 3061 to 467 computations (84.7% saved)

series1.2s (15%)

Error
1.9b
Counts
4 → 62
Calls

4 calls:

665.0ms
(/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x))
282.0ms
(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (-.f64 y (*.f64 t z)) (cbrt.f64 x)))
105.0ms
(cbrt.f64 x)
84.0ms
(cbrt.f64 x)
Compiler

Compiled 2979 to 2064 computations (30.7% saved)

simplify152.0ms (1.9%)

Algorithm
egg-herbie
Counts
190 → 190
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
049323851
149323851

prune141.0ms (1.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1900190
Fresh066
Picked011
Done033
Total19010200
Error
1.9b
Counts
200 → 10
Compiler

Compiled 3684 to 832 computations (77.4% saved)

regimes751.0ms (9.3%)

Accuracy

Total 0.1b remaining (3%)

Threshold costs 0.1b (3%)

Compiler

Compiled 6422 to 4254 computations (33.8% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03510
13510
Remove

(sort z t)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.7s (20.6%)

Algorithm
intervals
Results
284.0ms8000×body128valid
11.0ms312×body128invalid
Compiler

Compiled 964 to 638 computations (33.8% saved)

Profiling

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