Details

analyze4.0ms (0.2%)

Algorithm

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

Compiler

Compiled 12 to 9 computations (25% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify233.0ms (11.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (137.0ms)

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)

localize6.0ms (0.3%)

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))

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

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-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`associate-l_binary64_19` `prod-exp_binary64_127`
2×	`sqr-pow_binary64_50` `pow1_binary64_139`
1×	`cube-mult_binary64_108` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71`

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)))

series91.0ms (4.5%)

Counts

2 → 6

Calls

2 calls:

66.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
25.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify91.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4867	566
1	4867	566

prune53.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	7	51

Error

Counts

51 → 7

Compiler

Compiled 729 to 555 computations (23.9% saved)

localize7.0ms (0.4%)

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)

0.1b

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

rewrite21.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
9×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
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×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `unswap-sqr_binary64_46` `cancel-sign-sub-inv_binary64_44` `distribute-rgt-out--_binary64_32` `sub-neg_binary64_71`

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))

series106.0ms (5.2%)

Counts

3 → 9

Calls

3 calls:

64.0ms

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

25.0ms

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

17.0ms

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

simplify63.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4943	651
1	4943	651

prune56.0ms (2.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	63	6	69

Error

Counts

69 → 6

Compiler

Compiled 863 to 616 computations (28.6% saved)

localize7.0ms (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)))
0.2b	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
8×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
4×	`add-log-exp_binary64_117`
2×	`add-sqr-sqrt_binary64_100` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
1×	`-commutative_binary64_9` `associate-l_binary64_19` `flip3--_binary64_82` `diff-log_binary64_170` `associate-r*_binary64_18` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

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)))

series90.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
29.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

simplify75.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5524	460

prune33.0ms (1.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	40	6	46

Error

Counts

46 → 6

Compiler

Compiled 544 to 398 computations (26.8% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x))
0.1b	(*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))
0.1b	(.f64 (cbrt.f64 (.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x)
22.9b	(cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6)))

rewrite24.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_100`
11×	`add-exp-log_binary64_116`
10×	`associate-r_binary64_18`
9×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`add-cbrt-cube_binary64_114` `associate-l_binary64_19`
6×	`add-log-exp_binary64_117` `pow1_binary64_139`
4×	`prod-exp_binary64_127` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46`
2×	`*-commutative_binary64_9` `cbrt-unprod_binary64_111` `sqr-pow_binary64_50` `cbrt-prod_binary64_109`
1×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `flip3--_binary64_82` `diff-log_binary64_170` `pow1/3_binary64_160` `flip--_binary64_53` `pow-prod-down_binary64_149` `cancel-sign-sub-inv_binary64_44` `distribute-rgt-out--_binary64_32` `sub-neg_binary64_71`

Counts

4 → 66

Calls

4 calls:

6.0ms	(*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))
5.0ms	(.f64 (cbrt.f64 (.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x)
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x))
3.0ms	(cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6)))

series171.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x))
37.0ms	(.f64 (cbrt.f64 (.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x)
34.0ms	(cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6)))
31.0ms	(*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))

simplify94.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4827	977
1	4827	977

prune76.0ms (3.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	78	6	84

Error

Counts

84 → 6

Compiler

Compiled 1226 to 956 computations (22% saved)

regimes59.0ms (2.9%)

Accuracy

Total 0.1b remaining (96.3%)

Threshold costs 0.1b (96.3%)

Compiler

Compiled 424 to 354 computations (16.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample630.0ms (30.8%)

Algorithm

1×

intervals

Results

244.0ms

8000×

body

128

valid

Compiler

Compiled 221 to 186 computations (15.8% saved)

Details

analyze4.0ms (0.2%)

sample13.0ms (0.6%)

simplify233.0ms (11.4%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite13.0ms (0.7%)

series91.0ms (4.5%)

simplify91.0ms (4.5%)

prune53.0ms (2.6%)

localize7.0ms (0.4%)

rewrite21.0ms (1%)

series106.0ms (5.2%)

simplify63.0ms (3.1%)

prune56.0ms (2.7%)

localize7.0ms (0.3%)

rewrite14.0ms (0.7%)

series90.0ms (4.4%)

simplify75.0ms (3.7%)

prune33.0ms (1.6%)

localize9.0ms (0.4%)

rewrite24.0ms (1.2%)

series171.0ms (8.4%)

simplify94.0ms (4.6%)

prune76.0ms (3.7%)

regimes59.0ms (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample630.0ms (30.8%)

Profiling