Details

analyze233.0ms (9.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	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
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

Symmetry

Compiler

Compiled 12 to 9 computations (25% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify145.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13

prune4.0ms (0.2%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite60.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_100`
12×	`associate-r_binary64_18`
7×	`add-exp-log_binary64_116`
6×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`prod-exp_binary64_127` `associate-l_binary64_19`
2×	`pow1_binary64_139` `sqr-pow_binary64_50`
1×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `cbrt-unprod_binary64_111` `unpow3_binary64_144` `cube-mult_binary64_108` `*-commutative_binary64_9` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

Compiler

Compiled 700 to 555 computations (20.7% saved)

series101.0ms (4.3%)

Error

0.1b

Counts

2 → 9

Calls

2 calls:

67.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
28.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 188 to 162 computations (13.8% saved)

simplify95.0ms (4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4867	584
1	4867	584

prune50.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	49	5	54

Error

Counts

54 → 5

Compiler

Compiled 723 to 553 computations (23.5% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
0.1b	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

rewrite43.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
4×	`add-log-exp_binary64_117`
2×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
1×	`associate-l_binary64_19` `associate-r_binary64_18` `*-commutative_binary64_9` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

2 → 34

Calls

2 calls:

7.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))

Compiler

Compiled 663 to 381 computations (42.5% saved)

series109.0ms (4.6%)

Error

Counts

2 → 9

Calls

2 calls:

69.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
35.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

Compiler

Compiled 188 to 162 computations (13.8% saved)

simplify76.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5542	478

prune35.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	43	5	48

Error

Counts

48 → 5

Compiler

Compiled 564 to 439 computations (22.2% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

0.1b

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

0.2b

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

rewrite67.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
6×	`add-sqr-sqrt_binary64_100`
5×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`associate-l_binary64_19` `associate-r_binary64_18`
2×	`*-commutative_binary64_9`
1×	`unswap-sqr_binary64_46` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `distribute-rgt-out--_binary64_32`

Counts

3 → 53

Calls

3 calls:

7.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

6.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

Compiler

Compiled 958 to 554 computations (42.2% saved)

series136.0ms (5.8%)

Error

Counts

3 → 12

Calls

3 calls:

73.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

32.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

25.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

Compiler

Compiled 287 to 240 computations (16.4% saved)

simplify61.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4947	669
1	4947	669

prune52.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	66	4	70

Error

Counts

70 → 4

Compiler

Compiled 849 to 611 computations (28% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 x (+.f64 2150310427208497/2251799813685248 (.f64 (*.f64 x x) -4647935950575487/36028797018963968)))
0.2b	(.f64 (.f64 x x) -4647935950575487/36028797018963968)

rewrite46.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`add-sqr-sqrt_binary64_100`
6×	`associate-r_binary64_18`
5×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
2×	`add-log-exp_binary64_117` `unswap-sqr_binary64_46` `-commutative_binary64_9` `associate-r/_binary64_20`
1×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `flip3-+_binary64_81` `flip-+_binary64_52`

Counts

2 → 41

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) -4647935950575487/36028797018963968)
5.0ms	(.f64 x (+.f64 2150310427208497/2251799813685248 (.f64 (*.f64 x x) -4647935950575487/36028797018963968)))

Compiler

Compiled 663 to 407 computations (38.6% saved)

series98.0ms (4.2%)

Error

Counts

2 → 9

Calls

2 calls:

68.0ms	(.f64 x (+.f64 2150310427208497/2251799813685248 (.f64 (*.f64 x x) -4647935950575487/36028797018963968)))
25.0ms	(.f64 (.f64 x x) -4647935950575487/36028797018963968)

Compiler

Compiled 188 to 162 computations (13.8% saved)

simplify54.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5013	576

prune38.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	50	4	54

Error

Counts

54 → 4

Compiler

Compiled 634 to 438 computations (30.9% saved)

regimes72.0ms (3.1%)

Accuracy

Total 0.1b remaining (97.1%)

Threshold costs 0.1b (97.1%)

Compiler

Compiled 576 to 472 computations (18.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

Removed

()

end0.0ms (0%)

sample733.0ms (31.2%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 297 to 245 computations (17.5% saved)

Details

analyze233.0ms (9.9%)

sample14.0ms (0.6%)

simplify145.0ms (6.2%)

prune4.0ms (0.2%)

localize9.0ms (0.4%)

rewrite60.0ms (2.6%)

series101.0ms (4.3%)

simplify95.0ms (4%)

prune50.0ms (2.1%)

localize6.0ms (0.3%)

rewrite43.0ms (1.8%)

series109.0ms (4.6%)

simplify76.0ms (3.2%)

prune35.0ms (1.5%)

localize6.0ms (0.3%)

rewrite67.0ms (2.9%)

series136.0ms (5.8%)

simplify61.0ms (2.6%)

prune52.0ms (2.2%)

localize5.0ms (0.2%)

rewrite46.0ms (1.9%)

series98.0ms (4.2%)

simplify54.0ms (2.3%)

prune38.0ms (1.6%)

regimes72.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample733.0ms (31.2%)

Profiling