Details

Time bar (total: 1.6s)

analyze4.0ms (0.2%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
75%12.5%12.5%5
75%6.2%18.8%6
75%3.1%21.9%7
75%1.6%23.5%8
75%0.8%24.3%9
75%0.4%24.6%10
75%0.2%24.8%11
75%0.1%24.9%12
75%0%25%13
75%0%25%14
Compiler

Compiled 8 to 7 computations (12.5% saved)

sample11.0ms (0.7%)

Algorithm
1×intervals
Results
6.0ms256×body128valid
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify169.0ms (10.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02110
12110

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (-.f64 (*.f64 x x) 3) 6)

rewrite14.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_2120
12×times-frac_binary64_2105
10×add-cube-cbrt_binary64_2131 *-un-lft-identity_binary64_2099
4×difference-of-squares_binary64_2068 associate-/l*_binary64_2046
3×add-cbrt-cube_binary64_2132 associate-/r*_binary64_2045 add-exp-log_binary64_2134
2×associate-/l/_binary64_2048
1×cbrt-undiv_binary64_2130 pow1_binary64_2157 div-exp_binary64_2147 frac-2neg_binary64_2110 div-sub_binary64_2104 add-log-exp_binary64_2135 flip3--_binary64_2103 flip--_binary64_2074 clear-num_binary64_2098 div-inv_binary64_2096
Counts
1 → 34
Calls

1 calls:

8.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)

series80.0ms (4.9%)

Counts
1 → 3
Calls

1 calls:

80.0ms
(/.f64 (-.f64 (*.f64 x x) 3) 6)

simplify54.0ms (3.3%)

Algorithm
1×egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05798602

prune40.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New33437
Fresh000
Picked101
Done000
Total34438

Merged error: 0b

Counts
38 → 4
Compiler

Compiled 549 to 380 computations (30.8% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(/.f64 (*.f64 x x) 6)

rewrite7.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
6×add-cbrt-cube_binary64_2132 add-exp-log_binary64_2134
3×add-sqr-sqrt_binary64_2120 add-cube-cbrt_binary64_2131 times-frac_binary64_2105 associate-/r*_binary64_2045 *-un-lft-identity_binary64_2099
2×cbrt-undiv_binary64_2130 div-exp_binary64_2147
1×pow1_binary64_2157 frac-2neg_binary64_2110 prod-exp_binary64_2145 add-log-exp_binary64_2135 clear-num_binary64_2098 associate-/l*_binary64_2046 div-inv_binary64_2096 cbrt-unprod_binary64_2129
Counts
1 → 21
Calls

1 calls:

5.0ms
(/.f64 (*.f64 x x) 6)

series37.0ms (2.2%)

Counts
1 → 3
Calls

1 calls:

36.0ms
(/.f64 (*.f64 x x) 6)

simplify97.0ms (5.9%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04911205
14911205

prune22.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New23124
Fresh123
Picked011
Done000
Total24428

Merged error: 0b

Counts
28 → 4
Compiler

Compiled 264 to 191 computations (27.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 x (/.f64 x 6))

rewrite10.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64_2120
13×associate-*r*_binary64_2041
10×times-frac_binary64_2105
9×add-cube-cbrt_binary64_2131 *-un-lft-identity_binary64_2099
6×add-cbrt-cube_binary64_2132 add-exp-log_binary64_2134
3×associate-*l*_binary64_2042 pow1_binary64_2157
2×prod-exp_binary64_2145 unswap-sqr_binary64_2067 cbrt-unprod_binary64_2129
1×cbrt-undiv_binary64_2130 associate-*r/_binary64_2043 *-commutative_binary64_2032 div-exp_binary64_2147 add-log-exp_binary64_2135 pow-prod-down_binary64_2167 div-inv_binary64_2096
Counts
1 → 32
Calls

1 calls:

8.0ms
(*.f64 x (/.f64 x 6))

series41.0ms (2.5%)

Counts
1 → 3
Calls

1 calls:

41.0ms
(*.f64 x (/.f64 x 6))

simplify86.0ms (5.3%)

Algorithm
1×egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (77.0ms)

IterNodesCost
05044317

prune26.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh022
Picked011
Done011
Total35439

Merged error: 0b

Counts
39 → 4
Compiler

Compiled 419 to 306 computations (27% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

rewrite11.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64_2120
4×associate-*l*_binary64_2042
3×add-cube-cbrt_binary64_2131 add-cbrt-cube_binary64_2132 pow1_binary64_2157 *-un-lft-identity_binary64_2099 associate-*r*_binary64_2041 add-exp-log_binary64_2134
2×associate-*l/_binary64_2044
1×difference-of-squares_binary64_2068 *-commutative_binary64_2032 prod-exp_binary64_2145 add-log-exp_binary64_2135 pow-prod-down_binary64_2167 flip3--_binary64_2103 flip--_binary64_2074 unswap-sqr_binary64_2067 cbrt-unprod_binary64_2129
Counts
1 → 21
Calls

1 calls:

10.0ms
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

series79.0ms (4.8%)

Counts
1 → 3
Calls

1 calls:

79.0ms
(*.f64 (-.f64 (*.f64 x x) 3) 1/6)

simplify67.0ms (4.1%)

Algorithm
1×egg-herbie
Counts
24 → 24
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04512291
14512291

prune17.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New24024
Fresh011
Picked011
Done022
Total24428

Merged error: 0b

Counts
28 → 4
Compiler

Compiled 291 to 193 computations (33.7% saved)

regimes149.0ms (9.1%)

Compiler

Compiled 1299 to 1075 computations (17.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01810
11810

end0.0ms (0%)

sample595.0ms (36.3%)

Algorithm
1×intervals
Results
183.0ms8000×body128valid
Compiler

Compiled 233 to 197 computations (15.5% saved)

Profiling

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