Details

Time bar (total: 1.8s)

analyze63.0ms (3.5%)

Algorithm
1×search
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
25%74.9%0.1%5
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 16 to 8 computations (50% saved)

sample13.0ms (0.7%)

Algorithm
1×intervals
Results
7.0ms256×body80valid
Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify13.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
04013
14013

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))
0.2b
(*.f64 (*.f64 y y) 3)

rewrite11.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 add-sqr-sqrt_binary64
3×pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 associate-*r*_binary64 add-cube-cbrt_binary64 prod-exp_binary64
1×flip3-+_binary64 associate-*l*_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 30
Calls

2 calls:

6.0ms
(*.f64 (*.f64 y y) 3)
5.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))

series12.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 y y) 3))
4.0ms
(*.f64 (*.f64 y y) 3)

simplify64.0ms (3.5%)

Algorithm
1×egg-herbie
Counts
36 → 36
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04941426
14941426

prune27.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New33336
Fresh000
Picked011
Done000
Total33437

Merged error: 0.0b

Counts
37 → 4
Compiler

Compiled 497 to 253 computations (49.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
0.2b
(*.f64 y (*.f64 y 3))

rewrite12.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64
3×pow-prod-down_binary64 *-un-lft-identity_binary64 cbrt-unprod_binary64 add-cube-cbrt_binary64 associate-*l*_binary64 prod-exp_binary64 add-sqr-sqrt_binary64
1×flip3-+_binary64 associate-*r*_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 29
Calls

2 calls:

5.0ms
(*.f64 y (*.f64 y 3))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))

series12.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

8.0ms
(+.f64 (*.f64 x x) (*.f64 y (*.f64 y 3)))
4.0ms
(*.f64 y (*.f64 y 3))

simplify86.0ms (4.7%)

Algorithm
1×egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04928410
14928410

prune23.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New34135
Fresh022
Picked011
Done011
Total34539

Merged error: 0.0b

Counts
39 → 5
Compiler

Compiled 488 to 282 computations (42.2% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
0.2b
(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.2b
(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite38.0ms (2.1%)

Algorithm
1×rewrite-expression-head
Rules
49×pow1_binary64
33×add-exp-log_binary64
27×pow-prod-down_binary64
21×cbrt-unprod_binary64 prod-exp_binary64
20×add-cbrt-cube_binary64
7×associate-*r*_binary64
5×*-un-lft-identity_binary64 add-log-exp_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×pow-prod-up_binary64 pow-plus_binary64
3×cbrt-prod_binary64
2×associate-*l*_binary64 pow-sqr_binary64 pow2_binary64 *-commutative_binary64
1×flip3-+_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
3 → 70
Calls

3 calls:

18.0ms
(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
12.0ms
(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
5.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

series33.0ms (1.8%)

Counts
3 → 9
Calls

3 calls:

12.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))
11.0ms
(*.f64 (*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
9.0ms
(*.f64 (*.f64 y y) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))

simplify82.0ms (4.5%)

Algorithm
1×egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04947875
14947875

prune58.0ms (3.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New78179
Fresh022
Picked011
Done022
Total78684

Merged error: 0.0b

Counts
84 → 6
Compiler

Compiled 1217 to 749 computations (38.5% saved)

localize13.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))
0.1b
(*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))
0.1b
(*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3))))
0.2b
(*.f64 (*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))

rewrite46.0ms (2.5%)

Algorithm
1×rewrite-expression-head
Rules
68×add-exp-log_binary64
49×prod-exp_binary64
22×add-cbrt-cube_binary64
19×cbrt-unprod_binary64 associate-*r*_binary64
17×cbrt-prod_binary64
16×add-sqr-sqrt_binary64
13×*-un-lft-identity_binary64 add-cube-cbrt_binary64 associate-*l*_binary64
11×pow1_binary64
7×sqrt-prod_binary64
6×pow-to-exp_binary64 add-log-exp_binary64 unpow-prod-down_binary64 pow-exp_binary64
4×pow-prod-down_binary64
3×unswap-sqr_binary64 *-commutative_binary64
1×flip3-+_binary64 unpow2_binary64 sqr-pow_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64
Counts
4 → 103
Calls

4 calls:

16.0ms
(*.f64 (*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
12.0ms
(*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3))))
9.0ms
(*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))
6.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))

series129.0ms (7%)

Counts
4 → 12
Calls

4 calls:

41.0ms
(*.f64 (*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3)))
33.0ms
(+.f64 (*.f64 x x) (*.f64 (*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))) (cbrt.f64 (sqrt.f64 3))))
31.0ms
(*.f64 (pow.f64 (cbrt.f64 3) 2) (*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3))))
22.0ms
(*.f64 (*.f64 y y) (cbrt.f64 (sqrt.f64 3)))

simplify103.0ms (5.6%)

Algorithm
1×egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049852017
149852017

prune104.0ms (5.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1150115
Fresh022
Picked011
Done033
Total1156121

Merged error: 0.0b

Counts
121 → 6
Compiler

Compiled 2516 to 1822 computations (27.6% saved)

regimes137.0ms (7.4%)

Compiler

Compiled 383 to 333 computations (13.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01113
11113

end0.0ms (0%)

sample730.0ms (39.7%)

Algorithm
1×intervals
Results
227.0ms8000×body80valid
0.0ms10×body80invalid
Compiler

Compiled 115 to 91 computations (20.9% saved)

Profiling

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