Details

Time bar (total: 3.3s)

analyze862.0ms (25.9%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0580360
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
0%99.9%0.1%6
0%81.1%18.9%7
6.2%74.9%18.9%8
9.4%65.5%25.1%9
15.6%48.4%36%10
20.3%43.1%36.6%11
22.6%36%41.4%12
27.1%25.1%47.8%13
29.5%22.5%48%14
Compiler

Compiled 11 to 9 computations (18.2% saved)

sample29.0ms (0.9%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
2.0ms57×body128nan
1.0ms30×body128invalid
Compiler

Compiled 21 to 20 computations (4.8% saved)

simplify452.0ms (13.6%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (446.0ms)

IterNodesCost
01052915

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
25.3b
Counts
2 → 1
Compiler

Compiled 20 to 16 computations (20% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
3.2b
(-.f64 (*.f64 y y) (*.f64 z z))
24.9b
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))

rewrite74.0ms (2.2%)

Algorithm
1×rewrite-expression-head
Error
14.4b
Rules
12×add-sqr-sqrt_binary64_19196
9×sqrt-prod_binary64_19190
7×add-cube-cbrt_binary64_19209 *-un-lft-identity_binary64_19174 associate-*r*_binary64_19114
6×pow1_binary64_19235
5×add-log-exp_binary64_19213 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210
4×sqrt-div_binary64_19191
3×flip3--_binary64_19178 flip--_binary64_19149 difference-of-squares_binary64_19143 associate-*l*_binary64_19115
2×unswap-sqr_binary64_19142 associate-*r/_binary64_19116
1×pow1/2_binary64_19254 sqrt-pow1_binary64_19192 rem-sqrt-square_binary64_19187 diff-log_binary64_19266 sub-neg_binary64_19167 cancel-sign-sub-inv_binary64_19140 pow-prod-down_binary64_19245 prod-exp_binary64_19223 cbrt-unprod_binary64_19207 *-commutative_binary64_19105
Counts
3 → 54
Calls

3 calls:

15.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
8.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
5.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Compiler

Compiled 1043 to 194 computations (81.4% saved)

series375.0ms (11.3%)

Error
0.3b
Counts
3 → 34
Calls

3 calls:

183.0ms
(*.f64 x (sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z))))
97.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
67.0ms
(sqrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Compiler

Compiled 930 to 800 computations (14% saved)

simplify56.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049851210
149851210

prune73.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New85388
Fresh000
Picked011
Done000
Total85489
Error
0.3b
Counts
89 → 4
Compiler

Compiled 1203 to 284 computations (76.4% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

3.2b
(-.f64 (*.f64 y y) (*.f64 z z))
3.2b
(-.f64 (*.f64 y y) (*.f64 z z))
25.8b
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
25.8b
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))

rewrite68.0ms (2%)

Algorithm
1×rewrite-expression-head
Error
0.3b
Rules
8×add-log-exp_binary64_19213 cbrt-prod_binary64_19205
6×add-cube-cbrt_binary64_19209 add-sqr-sqrt_binary64_19196 *-un-lft-identity_binary64_19174
4×pow1_binary64_19235 add-exp-log_binary64_19212 add-cbrt-cube_binary64_19210 flip3--_binary64_19178 cbrt-div_binary64_19206 flip--_binary64_19149 difference-of-squares_binary64_19143
2×pow1/3_binary64_19256 diff-log_binary64_19266 sub-neg_binary64_19167 cancel-sign-sub-inv_binary64_19140
Counts
4 → 54
Calls

4 calls:

4.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
4.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
4.0ms
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
4.0ms
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
Compiler

Compiled 1622 to 258 computations (84.1% saved)

series559.0ms (16.8%)

Error
0.3b
Counts
4 → 42
Calls

4 calls:

158.0ms
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
134.0ms
(cbrt.f64 (-.f64 (*.f64 y y) (*.f64 z z)))
119.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
103.0ms
(-.f64 (*.f64 y y) (*.f64 z z))
Compiler

Compiled 2604 to 1833 computations (29.6% saved)

simplify105.0ms (3.2%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (83.0ms)

IterNodesCost
049021276
149021276

prune82.0ms (2.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New96096
Fresh022
Picked011
Done011
Total964100
Error
0.3b
Counts
100 → 4
Compiler

Compiled 2305 to 389 computations (83.1% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Error
0.3b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0.3b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune1.0ms (0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0.3b
Counts
4 → 4
Compiler

Compiled 4 to 5 computations (-25% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Error
0.3b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error
0.3b
Counts
0 → 0
Compiler

Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune0.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0.3b
Counts
4 → 4
Compiler

Compiled 0 to 0 computations (0% saved)

regimes532.0ms (16%)

Compiler

Compiled 1782 to 1130 computations (36.6% saved)

bsearch17.0ms (0.5%)

Compiler

Compiled 1 to 3 computations (-200% saved)

end0.0ms (0%)

Profiling

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