Details

Time bar (total: 3.9s)

analyze498.0ms (12.8%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0486640
1486640
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
9.4%90.5%0.1%6
14%85.8%0.1%7
22.6%77.2%0.1%8
37.8%60.5%1.7%9
40%56%4%10
47.3%48.7%4%11
56.8%36.2%7%12
58.6%32.4%9%13
63.4%27.5%9%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample16.0ms (0.4%)

Algorithm
intervals
Results
6.0ms256×body128valid
1.0ms27×body128invalid
Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify138.0ms (3.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (132.0ms)

IterNodesCost
0486410
1486410

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
12.1b
Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
11.5b
(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite57.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×add-sqr-sqrt_binary64_20219
10×*-un-lft-identity_binary64_20197
add-exp-log_binary64_20235 add-cbrt-cube_binary64_20233
add-cube-cbrt_binary64_20232
cancel-sign-sub-inv_binary64_20163
associate-*r*_binary64_20137
pow1_binary64_20258 associate-*r/_binary64_20139 distribute-rgt-in_binary64_20147 distribute-lft-in_binary64_20146
times-frac_binary64_20203 associate-/r*_binary64_20141 associate-*l*_binary64_20138
prod-exp_binary64_20246 div-exp_binary64_20248 add-log-exp_binary64_20236 cbrt-undiv_binary64_20231 cbrt-unprod_binary64_20230 flip3--_binary64_20201 associate-/l/_binary64_20144 flip--_binary64_20172 sub-neg_binary64_20190
frac-2neg_binary64_20208 clear-num_binary64_20196 div-inv_binary64_20194 associate-/l*_binary64_20142 pow-prod-down_binary64_20268 unswap-sqr_binary64_20165 difference-of-squares_binary64_20166 distribute-lft-out--_binary64_20149 *-commutative_binary64_20128
Counts
2 → 53
Calls

2 calls:

7.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 710 to 208 computations (70.7% saved)

series244.0ms (6.3%)

Error
2.6b
Counts
2 → 30
Calls

2 calls:

137.0ms
(/.f64 (*.f64 x (-.f64 y z)) y)
93.0ms
(*.f64 x (-.f64 y z))
Compiler

Compiled 534 to 322 computations (39.7% saved)

simplify53.0ms (1.4%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05062790

prune53.0ms (1.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New78583
Fresh000
Picked101
Done000
Total79584
Error
0.0b
Counts
84 → 5
Compiler

Compiled 831 to 192 computations (76.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 y (-.f64 y z))
3.8b
(/.f64 x (/.f64 y (-.f64 y z)))

rewrite120.0ms (3.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
138×times-frac_binary64_20203
102×add-sqr-sqrt_binary64_20219 *-un-lft-identity_binary64_20197
70×add-cube-cbrt_binary64_20232
26×associate-/r*_binary64_20141
16×difference-of-squares_binary64_20166 distribute-lft-out--_binary64_20149
11×associate-/r/_binary64_20143
add-exp-log_binary64_20235 add-cbrt-cube_binary64_20233
div-inv_binary64_20194 associate-/l*_binary64_20142
flip3--_binary64_20201 flip--_binary64_20172
div-exp_binary64_20248 cbrt-undiv_binary64_20231
pow1_binary64_20258 add-log-exp_binary64_20236 frac-2neg_binary64_20208 clear-num_binary64_20196
Counts
2 → 139
Calls

2 calls:

9.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
5.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 2456 to 567 computations (76.9% saved)

series214.0ms (5.5%)

Error
0.0b
Counts
2 → 33
Calls

2 calls:

129.0ms
(/.f64 x (/.f64 y (-.f64 y z)))
66.0ms
(/.f64 y (-.f64 y z))
Compiler

Compiled 780 to 563 computations (27.8% saved)

simplify77.0ms (2%)

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
050023176

prune108.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1711172
Fresh044
Picked011
Done000
Total1716177
Error
0b
Counts
177 → 6
Compiler

Compiled 2579 to 529 computations (79.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(/.f64 (-.f64 y z) y)
4.1b
(*.f64 x (/.f64 (-.f64 y z) y))

rewrite65.0ms (1.7%)

Algorithm
rewrite-expression-head
Error
0b
Rules
41×add-sqr-sqrt_binary64_20219
36×*-un-lft-identity_binary64_20197
31×times-frac_binary64_20203
22×add-cube-cbrt_binary64_20232
19×associate-*r*_binary64_20137
add-exp-log_binary64_20235 add-cbrt-cube_binary64_20233
difference-of-squares_binary64_20166 distribute-lft-out--_binary64_20149
associate-/l*_binary64_20142
pow1_binary64_20258
associate-*l*_binary64_20138 associate-/r*_binary64_20141
div-exp_binary64_20248 prod-exp_binary64_20246 add-log-exp_binary64_20236 cbrt-unprod_binary64_20230 cbrt-undiv_binary64_20231 unswap-sqr_binary64_20165 div-inv_binary64_20194 associate-/l/_binary64_20144
pow-prod-down_binary64_20268 associate-*r/_binary64_20139 *-commutative_binary64_20128 frac-2neg_binary64_20208 div-sub_binary64_20202 clear-num_binary64_20196 flip3--_binary64_20201 flip--_binary64_20172
Counts
2 → 76
Calls

2 calls:

10.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
6.0ms
(/.f64 (-.f64 y z) y)
Compiler

Compiled 1133 to 278 computations (75.5% saved)

series216.0ms (5.6%)

Error
0b
Counts
2 → 27
Calls

2 calls:

136.0ms
(*.f64 x (/.f64 (-.f64 y z) y))
70.0ms
(/.f64 (-.f64 y z) y)
Compiler

Compiled 423 to 307 computations (27.4% saved)

simplify71.0ms (1.8%)

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050761200

prune58.0ms (1.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1030103
Fresh044
Picked011
Done011
Total1036109
Error
0b
Counts
109 → 6
Compiler

Compiled 1217 to 339 computations (72.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (-.f64 y z))
0.2b
(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
11.6b
(/.f64 y (*.f64 x (-.f64 y z)))

rewrite114.0ms (2.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
42×times-frac_binary64_20203
31×add-exp-log_binary64_20235 add-sqr-sqrt_binary64_20219
29×*-un-lft-identity_binary64_20197
27×add-cube-cbrt_binary64_20232
19×add-cbrt-cube_binary64_20233
14×div-exp_binary64_20248
12×associate-*r/_binary64_20139
11×associate-/r/_binary64_20143
10×associate-/r*_binary64_20141
cbrt-undiv_binary64_20231
pow1_binary64_20258 div-inv_binary64_20194 flip3--_binary64_20201 flip--_binary64_20172 associate-/l*_binary64_20142 cancel-sign-sub-inv_binary64_20163
prod-exp_binary64_20246 associate-*r*_binary64_20137
distribute-rgt-in_binary64_20147 distribute-lft-in_binary64_20146
add-log-exp_binary64_20236 cbrt-unprod_binary64_20230 1-exp_binary64_20241 rec-exp_binary64_20247 associate-*l*_binary64_20138
frac-2neg_binary64_20208 clear-num_binary64_20196 sub-neg_binary64_20190
inv-pow_binary64_20282 pow-flip_binary64_20271 pow-prod-down_binary64_20268 unswap-sqr_binary64_20165 difference-of-squares_binary64_20166 distribute-lft-out--_binary64_20149 *-commutative_binary64_20128
Counts
3 → 117
Calls

3 calls:

9.0ms
(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
7.0ms
(*.f64 x (-.f64 y z))
6.0ms
(/.f64 y (*.f64 x (-.f64 y z)))
Compiler

Compiled 1963 to 716 computations (63.5% saved)

series376.0ms (9.7%)

Error
0b
Counts
3 → 42
Calls

3 calls:

153.0ms
(/.f64 1 (/.f64 y (*.f64 x (-.f64 y z))))
105.0ms
(*.f64 x (-.f64 y z))
101.0ms
(/.f64 y (*.f64 x (-.f64 y z)))
Compiler

Compiled 960 to 670 computations (30.2% saved)

simplify66.0ms (1.7%)

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
049832022
149832022

prune92.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1590159
Fresh033
Picked011
Done022
Total1596165
Error
0b
Counts
165 → 6
Compiler

Compiled 1948 to 582 computations (70.1% saved)

regimes311.0ms (8%)

Accuracy

Total 0.9b remaining (99.7%)

Threshold costs 0.9b (99.7%)

Compiler

Compiled 1502 to 1063 computations (29.2% saved)

bsearch1.0ms (0%)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
077113
177113

end0.0ms (0%)

sample902.0ms (23.3%)

Algorithm
intervals
Results
207.0ms8000×body128valid
19.0ms776×body128invalid
Compiler

Compiled 460 to 301 computations (34.6% saved)

Profiling

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