Details

Time bar (total: 1.9s)

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
50%25%25%4
62.5%12.5%25%5
68.7%6.2%25%6
71.8%3.1%25%7
73.4%1.6%25%8
74.2%0.8%25%9
74.6%0.4%25%10
74.8%0.2%25%11
74.9%0.1%25%12
74.9%0%25.1%13
74.9%0%25.1%14
Compiler

Compiled 14 to 12 computations (14.3% saved)

sample13.0ms (0.7%)

Algorithm
1×intervals
Results
8.0ms256×body80valid
0.0ms1×body80invalid
Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify73.0ms (3.9%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
060813
160813

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 31 to 27 computations (12.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 12 (*.f64 x 9))
0.2b
(*.f64 x (-.f64 12 (*.f64 x 9)))

rewrite12.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-sqr-sqrt_binary64
4×*-un-lft-identity_binary64 add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
3×sub-neg_binary64 associate-*r*_binary64 associate-*l*_binary64
2×flip3--_binary64 associate-*r/_binary64 insert-posit16 flip--_binary64
1×pow-prod-down_binary64 diff-log_binary64 cbrt-unprod_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
2 → 35
Calls

2 calls:

7.0ms
(*.f64 x (-.f64 12 (*.f64 x 9)))
4.0ms
(-.f64 12 (*.f64 x 9))

series133.0ms (7.1%)

Counts
2 → 6
Calls

2 calls:

87.0ms
(*.f64 x (-.f64 12 (*.f64 x 9)))
46.0ms
(-.f64 12 (*.f64 x 9))

simplify115.0ms (6.1%)

Algorithm
1×egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (95.0ms)

IterNodesCost
05161480

prune46.0ms (2.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New37441
Fresh011
Picked101
Done000
Total38543

Merged error: 0.0b

Counts
43 → 5
Compiler

Compiled 638 to 511 computations (19.9% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x 12) (*.f64 x (*.f64 x -9)))
0.2b
(*.f64 x (*.f64 x -9))

rewrite13.0ms (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
2×insert-posit16
1×flip3-+_binary64 distribute-lft-out_binary64 associate-*r*_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 32
Calls

2 calls:

6.0ms
(*.f64 x (*.f64 x -9))
6.0ms
(+.f64 (*.f64 x 12) (*.f64 x (*.f64 x -9)))

series147.0ms (7.8%)

Counts
2 → 6
Calls

2 calls:

103.0ms
(+.f64 (*.f64 x 12) (*.f64 x (*.f64 x -9)))
44.0ms
(*.f64 x (*.f64 x -9))

simplify108.0ms (5.7%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (89.0ms)

IterNodesCost
04917396
14917396

prune38.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New37138
Fresh224
Picked011
Done000
Total39443

Merged error: 0b

Counts
43 → 4
Compiler

Compiled 563 to 434 computations (22.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x 12) (*.f64 (*.f64 x x) -9))
0.2b
(*.f64 (*.f64 x x) -9)

rewrite14.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Rules
7×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×add-log-exp_binary64 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
2×insert-posit16
1×flip3-+_binary64 associate-*l*_binary64 unswap-sqr_binary64 +-commutative_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 32
Calls

2 calls:

7.0ms
(*.f64 (*.f64 x x) -9)
6.0ms
(+.f64 (*.f64 x 12) (*.f64 (*.f64 x x) -9))

series138.0ms (7.3%)

Counts
2 → 6
Calls

2 calls:

94.0ms
(+.f64 (*.f64 x 12) (*.f64 (*.f64 x x) -9))
44.0ms
(*.f64 (*.f64 x x) -9)

simplify108.0ms (5.7%)

Algorithm
1×egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 0 (86.0ms)

IterNodesCost
04928405
14928405

prune30.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New38038
Fresh022
Picked011
Done011
Total38442

Merged error: 0b

Counts
42 → 4
Compiler

Compiled 557 to 409 computations (26.6% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))
0.1b
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
0.2b
(*.f64 (*.f64 x 3) x)

rewrite32.0ms (1.7%)

Algorithm
1×rewrite-expression-head
Rules
10×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
8×*-un-lft-identity_binary64 add-sqr-sqrt_binary64
7×associate-*r*_binary64
6×add-cube-cbrt_binary64
5×add-log-exp_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
3×insert-posit16
2×associate-*r/_binary64 *-commutative_binary64
1×flip3-+_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 distribute-lft-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 flip--_binary64 flip-+_binary64
Counts
3 → 55
Calls

3 calls:

16.0ms
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))
7.0ms
(*.f64 (*.f64 x 3) x)
7.0ms
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))

series160.0ms (8.5%)

Counts
3 → 9
Calls

3 calls:

91.0ms
(-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4))
44.0ms
(*.f64 (*.f64 x 3) x)
25.0ms
(*.f64 3 (+.f64 (-.f64 (*.f64 (*.f64 x 3) x) (*.f64 x 4)) 1))

simplify102.0ms (5.4%)

Algorithm
1×egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
05141880

prune62.0ms (3.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New64064
Fresh011
Picked011
Done022
Total64468

Merged error: 0b

Counts
68 → 4
Compiler

Compiled 1077 to 869 computations (19.3% saved)

regimes45.0ms (2.4%)

Compiler

Compiled 276 to 228 computations (17.4% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.4%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
07316
17316

end0.0ms (0%)

sample456.0ms (24.2%)

Algorithm
1×intervals
Results
254.0ms8000×body80valid
0.0ms2×body80invalid
Compiler

Compiled 88 to 74 computations (15.9% saved)

Profiling

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