Details

Time bar (total: 4.1s)

analyze492.0ms (12%)

Algorithm
search
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042340
142340
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
12.5%87.4%0.1%6
18.7%81.1%0.1%7
37.4%62.4%0.1%8
46.8%46.8%6.4%9
54.6%39%6.4%10
62.8%30.8%6.4%11
66.9%23.6%9.5%12
71.7%18.8%9.5%13
75.3%15.2%9.5%14
Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample21.0ms (0.5%)

Algorithm
intervals
Results
6.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 15 to 18 computations (-20% saved)

simplify22.0ms (0.5%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
020910
120910

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.1b
Counts
2 → 1
Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 (*.f64 x 3) y) z)
0.2b
(*.f64 (*.f64 x 3) y)

rewrite50.0ms (1.2%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
pow1_binary64_19235 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
add-log-exp_binary64_19213 add-cube-cbrt_binary64_19209 add-sqr-sqrt_binary64_19196 *-un-lft-identity_binary64_19174
pow-prod-down_binary64_19245 prod-exp_binary64_19223 cbrt-unprod_binary64_19207 associate-*r*_binary64_19114 cancel-sign-sub-inv_binary64_19140
associate-*l*_binary64_19115 *-commutative_binary64_19105 diff-log_binary64_19266 flip3--_binary64_19178 sub-neg_binary64_19167 flip--_binary64_19149
Counts
2 → 32
Calls

2 calls:

5.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
5.0ms
(*.f64 (*.f64 x 3) y)
Compiler

Compiled 436 to 279 computations (36% saved)

series218.0ms (5.3%)

Error
0.0b
Counts
2 → 24
Calls

2 calls:

148.0ms
(-.f64 (*.f64 (*.f64 x 3) y) z)
58.0ms
(*.f64 (*.f64 x 3) y)
Compiler

Compiled 389 to 327 computations (15.9% saved)

simplify81.0ms (2%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04873530
14873530

prune40.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New52456
Fresh000
Picked011
Done000
Total52557
Error
0b
Counts
57 → 5
Compiler

Compiled 558 to 307 computations (45% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x (*.f64 3 y)) z)
0.2b
(*.f64 x (*.f64 3 y))

rewrite46.0ms (1.1%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_19235 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
add-log-exp_binary64_19213 add-cube-cbrt_binary64_19209 add-sqr-sqrt_binary64_19196 *-un-lft-identity_binary64_19174
pow-prod-down_binary64_19245 prod-exp_binary64_19223 cbrt-unprod_binary64_19207 associate-*l*_binary64_19115 cancel-sign-sub-inv_binary64_19140
associate-*r*_binary64_19114 *-commutative_binary64_19105 diff-log_binary64_19266 flip3--_binary64_19178 sub-neg_binary64_19167 flip--_binary64_19149
Counts
2 → 32
Calls

2 calls:

9.0ms
(*.f64 x (*.f64 3 y))
5.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
Compiler

Compiled 436 to 279 computations (36% saved)

series198.0ms (4.8%)

Error
0b
Counts
2 → 24
Calls

2 calls:

128.0ms
(-.f64 (*.f64 x (*.f64 3 y)) z)
56.0ms
(*.f64 x (*.f64 3 y))
Compiler

Compiled 389 to 327 computations (15.9% saved)

simplify79.0ms (1.9%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
04977528
14977528

prune46.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New55156
Fresh123
Picked011
Done011
Total56561
Error
0b
Counts
61 → 5
Compiler

Compiled 552 to 299 computations (45.8% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 3 (*.f64 x y)) z)
0.2b
(*.f64 3 (*.f64 x y))

rewrite37.0ms (0.9%)

Algorithm
rewrite-expression-head
Error
0b
Rules
pow1_binary64_19235 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
add-log-exp_binary64_19213 add-cube-cbrt_binary64_19209 add-sqr-sqrt_binary64_19196 *-un-lft-identity_binary64_19174
pow-prod-down_binary64_19245 prod-exp_binary64_19223 cbrt-unprod_binary64_19207 associate-*l*_binary64_19115 cancel-sign-sub-inv_binary64_19140
associate-*r*_binary64_19114 *-commutative_binary64_19105 diff-log_binary64_19266 flip3--_binary64_19178 sub-neg_binary64_19167 flip--_binary64_19149
Counts
2 → 32
Calls

2 calls:

5.0ms
(-.f64 (*.f64 3 (*.f64 x y)) z)
5.0ms
(*.f64 3 (*.f64 x y))
Compiler

Compiled 436 to 243 computations (44.3% saved)

series216.0ms (5.3%)

Error
0b
Counts
2 → 24
Calls

2 calls:

144.0ms
(-.f64 (*.f64 3 (*.f64 x y)) z)
61.0ms
(*.f64 3 (*.f64 x y))
Compiler

Compiled 389 to 327 computations (15.9% saved)

simplify100.0ms (2.4%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04861528
14861528

prune40.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New55156
Fresh112
Picked011
Done022
Total56561
Error
0b
Counts
61 → 5
Compiler

Compiled 542 to 287 computations (47% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3))) z)
0.3b
(*.f64 (*.f64 x y) (sqrt.f64 3))
0.3b
(*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3)))

rewrite113.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0b
Rules
17×pow1_binary64_19235 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
pow-prod-down_binary64_19245 prod-exp_binary64_19223 cbrt-unprod_binary64_19207
add-cube-cbrt_binary64_19209 add-sqr-sqrt_binary64_19196 *-un-lft-identity_binary64_19174
associate-*l*_binary64_19115 associate-*r*_binary64_19114
sqrt-prod_binary64_19190
add-log-exp_binary64_19213
cancel-sign-sub-inv_binary64_19140
*-commutative_binary64_19105
diff-log_binary64_19266 flip3--_binary64_19178 sub-neg_binary64_19167 flip--_binary64_19149
Counts
3 → 59
Calls

3 calls:

11.0ms
(*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3)))
10.0ms
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3))) z)
6.0ms
(*.f64 (*.f64 x y) (sqrt.f64 3))
Compiler

Compiled 1106 to 765 computations (30.8% saved)

series514.0ms (12.6%)

Error
0b
Counts
3 → 30
Calls

3 calls:

232.0ms
(-.f64 (*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3))) z)
148.0ms
(*.f64 (sqrt.f64 3) (*.f64 (*.f64 x y) (sqrt.f64 3)))
109.0ms
(*.f64 (*.f64 x y) (sqrt.f64 3))
Compiler

Compiled 752 to 691 computations (8.1% saved)

simplify74.0ms (1.8%)

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05171878

prune66.0ms (1.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh011
Picked011
Done033
Total89594
Error
0b
Counts
94 → 5
Compiler

Compiled 997 to 683 computations (31.5% saved)

regimes311.0ms (7.6%)

Accuracy

Total 0.1b remaining (97.4%)

Threshold costs 0.1b (97.4%)

Compiler

Compiled 2120 to 1814 computations (14.4% saved)

bsearch0.0ms (0%)

simplify13.0ms (0.3%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02010
12010
Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample1.3s (31.2%)

Algorithm
intervals
Results
254.0ms8000×body128valid
8.0ms285×body128invalid
Compiler

Compiled 323 to 277 computations (14.2% saved)

Profiling

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