Details

analyze133.0ms (5.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	617	13
1	617	13
0	1	1
1	1	1

Search

True	Other	False	Iter
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)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify45.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	617	13
1	617	13

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.0b

Counts

2 → 2

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
0.0b	(+.f64 12 (*.f64 x -9))
0.1b	(.f64 x (+.f64 12 (.f64 x -9)))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_16485` `add-sqr-sqrt_binary64_16468`
5×	`add-exp-log_binary64_16484` `add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446` `pow1_binary64_16507` `add-cbrt-cube_binary64_16482`
3×	`associate-r_binary64_16386` `associate-l_binary64_16387`
2×	`associate-*r/_binary64_16388` `flip3-+_binary64_16449` `distribute-rgt-in_binary64_16396` `associate--r+_binary64_16382` `distribute-lft-in_binary64_16395` `flip-+_binary64_16420`
1×	`+-commutative_binary64_16376` `unswap-sqr_binary64_16414` `pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `*-commutative_binary64_16377` `prod-exp_binary64_16495` `diff-log_binary64_16538` `sum-log_binary64_16537` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412` `flip3--_binary64_16450` `flip--_binary64_16421`

Counts

3 → 47

Calls

3 calls:

6.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
3.0ms	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
3.0ms	(+.f64 12 (*.f64 x -9))

series71.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

40.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
19.0ms	(+.f64 12 (*.f64 x -9))
12.0ms	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))

simplify60.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5027	748

prune51.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Error

0.0b

Counts

58 → 6

Compiler

Compiled 854 to 680 computations (20.4% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite36.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64_16484` `*-un-lft-identity_binary64_16446` `pow1_binary64_16507` `add-log-exp_binary64_16485` `add-cbrt-cube_binary64_16482`
9×	`add-sqr-sqrt_binary64_16468`
7×	`add-cube-cbrt_binary64_16481` `associate-r_binary64_16386`
4×	`pow-prod-down_binary64_16517` `cbrt-unprod_binary64_16479` `prod-exp_binary64_16495` `associate-l_binary64_16387`
2×	`associate-r/_binary64_16388` `distribute-lft-out_binary64_16397` `associate-+l+_binary64_16379` `-commutative_binary64_16377` `diff-log_binary64_16538` `flip3-+_binary64_16449` `sum-log_binary64_16537` `flip-+_binary64_16420` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412`
1×	`+-commutative_binary64_16376` `unswap-sqr_binary64_16414` `associate-+l-_binary64_16381` `distribute-rgt-in_binary64_16396` `distribute-lft-in_binary64_16395` `flip3--_binary64_16450` `flip--_binary64_16421`

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
8.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
5.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
5.0ms	(.f64 (.f64 x 3) x)

series88.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
18.0ms	(.f64 (.f64 x 3) x)
14.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
13.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)

simplify68.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4948	1153
1	4948	1153

prune79.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	80	7	87

Error

Counts

87 → 7

Compiler

Compiled 1444 to 1163 computations (19.5% saved)

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 12 (*.f64 x -9))
0.1b	(.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (-.f64 12 (.f64 x -9))))
0.1b	(/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (-.f64 12 (*.f64 x -9)))
0.2b	(.f64 x (.f64 x 81))

rewrite33.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_16468`
21×	`add-cube-cbrt_binary64_16481` `*-un-lft-identity_binary64_16446`
19×	`times-frac_binary64_16452`
16×	`add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `associate-r_binary64_16386`
11×	`pow1_binary64_16507`
6×	`add-log-exp_binary64_16485` `associate-l_binary64_16387`
5×	`cbrt-unprod_binary64_16479` `prod-exp_binary64_16495`
4×	`pow-prod-down_binary64_16517` `associate-/r/_binary64_16392` `flip3--_binary64_16450` `flip--_binary64_16421`
3×	`associate-/l_binary64_16391` `associate-/r_binary64_16390`
2×	`cbrt-undiv_binary64_16480` `unswap-sqr_binary64_16414` `associate-/l/_binary64_16393` `*-commutative_binary64_16377` `div-inv_binary64_16443` `div-exp_binary64_16497`
1×	`associate-*r/_binary64_16388` `div-sub_binary64_16451` `clear-num_binary64_16445` `diff-log_binary64_16538` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412` `frac-2neg_binary64_16457`

Counts

4 → 96

Calls

4 calls:

10.0ms	(.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (-.f64 12 (.f64 x -9))))
7.0ms	(/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (-.f64 12 (*.f64 x -9)))
5.0ms	(.f64 x (.f64 x 81))
3.0ms	(-.f64 12 (*.f64 x -9))

series176.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 x (/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (-.f64 12 (.f64 x -9))))
63.0ms	(/.f64 (-.f64 144 (.f64 x (.f64 x 81))) (-.f64 12 (*.f64 x -9)))
19.0ms	(-.f64 12 (*.f64 x -9))
17.0ms	(.f64 x (.f64 x 81))

simplify47.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5009	2108

prune132.0ms (5.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	110	5	115

Error

Counts

115 → 5

Compiler

Compiled 2628 to 2063 computations (21.5% saved)

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (/.f64 1 (/.f64 (-.f64 12 (.f64 x -9)) (-.f64 144 (.f64 x (.f64 x 81))))))
0.1b	(/.f64 1 (/.f64 (-.f64 12 (.f64 x -9)) (-.f64 144 (.f64 x (*.f64 x 81)))))
0.1b	(/.f64 (-.f64 12 (.f64 x -9)) (-.f64 144 (.f64 x (*.f64 x 81))))
0.2b	(.f64 x (.f64 x 81))

rewrite72.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

168×	`times-frac_binary64_16452`
109×	`add-sqr-sqrt_binary64_16468`
97×	`*-un-lft-identity_binary64_16446`
95×	`add-cube-cbrt_binary64_16481`
51×	`associate-r_binary64_16386`
41×	`add-exp-log_binary64_16484`
25×	`add-cbrt-cube_binary64_16482`
18×	`associate-/r/_binary64_16392` `associate-/r*_binary64_16390`
15×	`div-exp_binary64_16497`
12×	`pow1_binary64_16507`
10×	`div-inv_binary64_16443` `prod-exp_binary64_16495`
9×	`flip3--_binary64_16450` `flip--_binary64_16421`
7×	`cbrt-undiv_binary64_16480`
6×	`cbrt-unprod_binary64_16479` `associate-/l_binary64_16391` `associate-l*_binary64_16387`
5×	`unswap-sqr_binary64_16414`
4×	`1-exp_binary64_16490` `pow-prod-down_binary64_16517` `add-log-exp_binary64_16485` `rec-exp_binary64_16496`
2×	`clear-num_binary64_16445` `associate-/l/_binary64_16393` `*-commutative_binary64_16377` `frac-2neg_binary64_16457`
1×	`associate-*r/_binary64_16388` `div-sub_binary64_16451` `pow-flip_binary64_16520` `un-div-inv_binary64_16444` `inv-pow_binary64_16531`

Counts

4 → 213

Calls

4 calls:

25.0ms	(.f64 x (/.f64 1 (/.f64 (-.f64 12 (.f64 x -9)) (-.f64 144 (.f64 x (.f64 x 81))))))
9.0ms	(/.f64 1 (/.f64 (-.f64 12 (.f64 x -9)) (-.f64 144 (.f64 x (*.f64 x 81)))))
6.0ms	(/.f64 (-.f64 12 (.f64 x -9)) (-.f64 144 (.f64 x (*.f64 x 81))))
5.0ms	(.f64 x (.f64 x 81))

series176.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(.f64 x (/.f64 1 (/.f64 (-.f64 12 (.f64 x -9)) (-.f64 144 (.f64 x (.f64 x 81))))))
55.0ms	(/.f64 1 (/.f64 (-.f64 12 (.f64 x -9)) (-.f64 144 (.f64 x (*.f64 x 81)))))
17.0ms	(.f64 x (.f64 x 81))
16.0ms	(/.f64 (-.f64 12 (.f64 x -9)) (-.f64 144 (.f64 x (*.f64 x 81))))

simplify118.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4890	6218
1	4890	6218

prune423.0ms (16.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	225	5	230

Error

Counts

230 → 5

Compiler

Compiled 6687 to 5378 computations (19.6% saved)

regimes86.0ms (3.4%)

Accuracy

Total 0.1b remaining (92.5%)

Threshold costs 0.1b (92.5%)

Compiler

Compiled 780 to 648 computations (16.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	13
1	64	13

end0.0ms (0%)

sample577.0ms (22.7%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 212 to 178 computations (16% saved)

Details

analyze133.0ms (5.2%)

sample12.0ms (0.5%)

simplify45.0ms (1.7%)

prune4.0ms (0.1%)

localize10.0ms (0.4%)

rewrite15.0ms (0.6%)

series71.0ms (2.8%)

simplify60.0ms (2.3%)

prune51.0ms (2%)

localize8.0ms (0.3%)

rewrite36.0ms (1.4%)

series88.0ms (3.5%)

simplify68.0ms (2.7%)

prune79.0ms (3.1%)

localize11.0ms (0.4%)

rewrite33.0ms (1.3%)

series176.0ms (6.9%)

simplify47.0ms (1.8%)

prune132.0ms (5.2%)

localize12.0ms (0.5%)

rewrite72.0ms (2.8%)

series176.0ms (6.9%)

simplify118.0ms (4.6%)

prune423.0ms (16.6%)

regimes86.0ms (3.4%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample577.0ms (22.7%)

Profiling