Details

analyze138.0ms (4.7%)

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

Symmetry

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify44.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

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)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite64.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

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))

Compiler

Compiled 795 to 636 computations (20% saved)

series159.0ms (5.4%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

63.0ms	(-.f64 3 (.f64 x (+.f64 12 (.f64 x -9))))
52.0ms	(.f64 x (+.f64 12 (.f64 x -9)))
27.0ms	(+.f64 12 (*.f64 x -9))

Compiler

Compiled 423 to 370 computations (12.5% saved)

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5215	817

prune64.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Error

Counts

70 → 6

Compiler

Compiled 912 to 718 computations (21.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 3 (+.f64 (.f64 12 x) (.f64 (*.f64 x x) -9)))
0.0b	(+.f64 (.f64 12 x) (.f64 (*.f64 x x) -9))
0.2b	(.f64 (.f64 x x) -9)

rewrite65.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-log-exp_binary64_16485`
8×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482` `add-sqr-sqrt_binary64_16468`
7×	`*-un-lft-identity_binary64_16446`
5×	`add-cube-cbrt_binary64_16481`
3×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `associate-r_binary64_16386` `cancel-sign-sub-inv_binary64_16412`
2×	`sum-log_binary64_16537` `diff-log_binary64_16538`
1×	`unswap-sqr_binary64_16414` `associate-l_binary64_16387` `*-commutative_binary64_16377` `flip3-+_binary64_16449` `flip-+_binary64_16420` `+-commutative_binary64_16376` `flip3--_binary64_16450` `sub-neg_binary64_16439` `flip--_binary64_16421` `difference-of-squares_binary64_16415` `distribute-lft-out--_binary64_16398` `associate--r+_binary64_16382`

Counts

3 → 48

Calls

3 calls:

6.0ms	(-.f64 3 (+.f64 (.f64 12 x) (.f64 (*.f64 x x) -9)))
6.0ms	(.f64 (.f64 x x) -9)
4.0ms	(+.f64 (.f64 12 x) (.f64 (*.f64 x x) -9))

Compiler

Compiled 951 to 640 computations (32.7% saved)

series171.0ms (5.8%)

Error

Counts

3 → 18

Calls

3 calls:

68.0ms	(-.f64 3 (+.f64 (.f64 12 x) (.f64 (*.f64 x x) -9)))
62.0ms	(+.f64 (.f64 12 x) (.f64 (*.f64 x x) -9))
27.0ms	(.f64 (.f64 x x) -9)

Compiler

Compiled 403 to 357 computations (11.4% saved)

simplify68.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5024	808

prune56.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	66	6	72

Error

Counts

72 → 6

Compiler

Compiled 904 to 678 computations (25% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 3 (*.f64 12 x))
0.0b	(-.f64 (-.f64 3 (.f64 12 x)) (.f64 (*.f64 x -9) x))
0.2b	(.f64 (.f64 x -9) x)

rewrite60.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-log-exp_binary64_16485`
8×	`pow1_binary64_16507` `add-exp-log_binary64_16484` `add-cbrt-cube_binary64_16482`
4×	`add-cube-cbrt_binary64_16481` `add-sqr-sqrt_binary64_16468` `*-un-lft-identity_binary64_16446` `diff-log_binary64_16538`
3×	`pow-prod-down_binary64_16517` `prod-exp_binary64_16495` `cbrt-unprod_binary64_16479` `associate-r_binary64_16386` `sub-neg_binary64_16439` `cancel-sign-sub-inv_binary64_16412`
2×	`flip3--_binary64_16450` `flip--_binary64_16421` `associate--l+_binary64_16383`
1×	`associate-l_binary64_16387` `*-commutative_binary64_16377` `associate--l-_binary64_16384`

Counts

3 → 46

Calls

3 calls:

6.0ms	(-.f64 (-.f64 3 (.f64 12 x)) (.f64 (*.f64 x -9) x))
5.0ms	(.f64 (.f64 x -9) x)
3.0ms	(-.f64 3 (*.f64 12 x))

Compiler

Compiled 832 to 625 computations (24.9% saved)

series131.0ms (4.5%)

Error

Counts

3 → 18

Calls

3 calls:

65.0ms	(-.f64 (-.f64 3 (.f64 12 x)) (.f64 (*.f64 x -9) x))
29.0ms	(-.f64 3 (*.f64 12 x))
27.0ms	(.f64 (.f64 x -9) x)

Compiler

Compiled 415 to 350 computations (15.7% saved)

simplify63.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5346	696

prune51.0ms (1.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Error

Counts

70 → 6

Compiler

Compiled 875 to 658 computations (24.8% 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)

rewrite105.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 69

Calls

4 calls:

10.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
7.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
5.0ms	(.f64 (.f64 x 3) x)
5.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))

Compiler

Compiled 1525 to 1180 computations (22.6% saved)

series238.0ms (8.1%)

Error

Counts

4 → 27

Calls

4 calls:

76.0ms	(.f64 3 (+.f64 (-.f64 (.f64 (.f64 x 3) x) (.f64 x 4)) 1))
66.0ms	(+.f64 (-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4)) 1)
53.0ms	(-.f64 (.f64 (.f64 x 3) x) (*.f64 x 4))
26.0ms	(.f64 (.f64 x 3) x)

Compiler

Compiled 660 to 594 computations (10% saved)

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4952	1255
1	4952	1255

prune82.0ms (2.8%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	96	6	102

Error

Counts

102 → 6

Compiler

Compiled 1459 to 1153 computations (21% saved)

regimes223.0ms (7.6%)

Accuracy

Total 0.1b remaining (94.4%)

Threshold costs 0.1b (94.4%)

Compiler

Compiled 1916 to 1633 computations (14.8% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	163	16
1	163	16

Removed

()

end0.0ms (0%)

sample980.0ms (33.3%)

Algorithm

1×

intervals

Results

257.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 471 to 403 computations (14.4% saved)

Details

analyze138.0ms (4.7%)

sample15.0ms (0.5%)

simplify44.0ms (1.5%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite64.0ms (2.2%)

series159.0ms (5.4%)

simplify62.0ms (2.1%)

prune64.0ms (2.2%)

localize7.0ms (0.2%)

rewrite65.0ms (2.2%)

series171.0ms (5.8%)

simplify68.0ms (2.3%)

prune56.0ms (1.9%)

localize6.0ms (0.2%)

rewrite60.0ms (2%)

series131.0ms (4.5%)

simplify63.0ms (2.1%)

prune51.0ms (1.7%)

localize8.0ms (0.3%)

rewrite105.0ms (3.6%)

series238.0ms (8.1%)

simplify69.0ms (2.4%)

prune82.0ms (2.8%)

regimes223.0ms (7.6%)

bsearch0.0ms (0%)

simplify5.0ms (0.2%)

end0.0ms (0%)

sample980.0ms (33.3%)

Profiling