Details

analyze7.0ms (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)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify536.0ms (11.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (221.0ms)

Iter	Nodes	Cost
0	4792	13
1	4792	13

prune7.0ms (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

Merged error: 0.1b

Counts

2 → 2

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize12.0ms (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))

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_98`
12×	`associate-r_binary64_19`
7×	`add-exp-log_binary64_112`
6×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
4×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `unswap-sqr_binary64_45` `unpow-prod-down_binary64_153` `cube-prod_binary64_102`
3×	`associate-l_binary64_20` `prod-exp_binary64_123`
2×	`sqr-pow_binary64_49` `pow1_binary64_135`
1×	`pow-to-exp_binary64_143` `cbrt-unprod_binary64_107` `sub-neg_binary64_70` `pow-exp_binary64_142` `cube-mult_binary64_104` `flip--_binary64_52` `*-commutative_binary64_10` `flip3--_binary64_81` `diff-log_binary64_166` `unpow3_binary64_140`

Counts

2 → 42

Calls

2 calls:

14.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
8.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

series393.0ms (8.5%)

Counts

2 → 6

Calls

2 calls:

288.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
105.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5335	565

prune101.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

Compiler

Compiled 745 to 572 computations (23.2% saved)

localize13.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

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

0.1b

(*.f64 (*.f64 x x) x)

rewrite49.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary64_135`
17×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
9×	`pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
6×	`pow-plus_binary64_137` `pow-prod-up_binary64_144` `add-sqr-sqrt_binary64_98`
5×	`add-log-exp_binary64_113` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
4×	`associate-l_binary64_20` `associate-r_binary64_19`
2×	`pow2_binary64_155` `pow-sqr_binary64_50` `*-commutative_binary64_10`
1×	`sub-neg_binary64_70` `flip--_binary64_52` `pow3_binary64_157` `unswap-sqr_binary64_45` `flip3--_binary64_81` `diff-log_binary64_166`

Counts

3 → 60

Calls

3 calls:

19.0ms

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

12.0ms

(*.f64 (*.f64 x x) x)

9.0ms

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

series484.0ms (10.4%)

Counts

3 → 9

Calls

3 calls:

281.0ms

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

114.0ms

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

89.0ms

(*.f64 (*.f64 x x) x)

simplify131.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	5421	572

prune116.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	68	7	75

Merged error: 0b

Counts

75 → 7

Compiler

Compiled 945 to 699 computations (26% saved)

localize17.0ms (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)

0.2b

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

rewrite45.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
9×	`pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
6×	`add-sqr-sqrt_binary64_98`
5×	`add-log-exp_binary64_113` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
4×	`associate-l_binary64_20` `associate-r_binary64_19`
2×	`*-commutative_binary64_10`
1×	`distribute-rgt-out--_binary64_33` `sub-neg_binary64_70` `flip--_binary64_52` `unswap-sqr_binary64_45` `flip3--_binary64_81` `diff-log_binary64_166`

Counts

3 → 52

Calls

3 calls:

16.0ms

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

12.0ms

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

8.0ms

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

series425.0ms (9.2%)

Counts

3 → 9

Calls

3 calls:

257.0ms

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

99.0ms

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

69.0ms

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

simplify170.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4821	644
1	4821	644

prune103.0ms (2.2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	2	2	4
Picked	0	1	1
Done	0	2	2
Total	62	6	68

Merged error: 0b

Counts

68 → 6

Compiler

Compiled 867 to 619 computations (28.6% saved)

localize17.0ms (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 (cbrt.f64 (.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x)
0.5b	(*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))
20.9b	(cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6)))

rewrite44.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_98`
11×	`add-exp-log_binary64_112`
10×	`associate-r_binary64_19`
9×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
7×	`associate-l_binary64_20` `add-cbrt-cube_binary64_110`
6×	`add-log-exp_binary64_113` `pow1_binary64_135`
4×	`unswap-sqr_binary64_45` `prod-exp_binary64_123` `unpow-prod-down_binary64_153`
2×	`cbrt-unprod_binary64_107` `sqr-pow_binary64_49` `cbrt-prod_binary64_105` `*-commutative_binary64_10`
1×	`pow-to-exp_binary64_143` `pow-prod-down_binary64_145` `distribute-rgt-out--_binary64_33` `sub-neg_binary64_70` `pow-exp_binary64_142` `flip--_binary64_52` `flip3--_binary64_81` `diff-log_binary64_166` `pow1/3_binary64_156`

Counts

4 → 65

Calls

4 calls:

11.0ms	(*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))
10.0ms	(.f64 (cbrt.f64 (.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x)
7.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x))
7.0ms	(cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6)))

series615.0ms (13.2%)

Counts

4 → 12

Calls

4 calls:

263.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x))
131.0ms	(.f64 (cbrt.f64 (.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))) x)
116.0ms	(*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6))
105.0ms	(cbrt.f64 (*.f64 100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232 (pow.f64 x 6)))

simplify144.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4881	979
1	4881	979

prune142.0ms (3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	77	6	83

Merged error: 0b

Counts

83 → 6

Compiler

Compiled 1223 to 954 computations (22% saved)

regimes61.0ms (1.3%)

Compiler: Compiled 210 to 168 computations (20% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample871.0ms (18.8%)

Algorithm

1×

intervals

Results

437.0ms

8000×

body

128

valid

Compiler

Compiled 114 to 93 computations (18.4% saved)

Details

analyze7.0ms (0.2%)

sample23.0ms (0.5%)

simplify536.0ms (11.6%)

prune7.0ms (0.1%)

localize12.0ms (0.3%)

rewrite28.0ms (0.6%)

series393.0ms (8.5%)

simplify85.0ms (1.8%)

prune101.0ms (2.2%)

localize13.0ms (0.3%)

rewrite49.0ms (1.1%)

series484.0ms (10.4%)

simplify131.0ms (2.8%)

prune116.0ms (2.5%)

localize17.0ms (0.4%)

rewrite45.0ms (1%)

series425.0ms (9.2%)

simplify170.0ms (3.7%)

prune103.0ms (2.2%)

localize17.0ms (0.4%)

rewrite44.0ms (0.9%)

series615.0ms (13.2%)

simplify144.0ms (3.1%)

prune142.0ms (3%)

regimes61.0ms (1.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample871.0ms (18.8%)

Profiling