Details

analyze450.0ms (9.6%)

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

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)

simplify295.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (275.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13

prune8.0ms (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

0.3b

Counts

2 → 2

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.3b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite27.0ms (0.6%)

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:

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

series199.0ms (4.2%)

Counts

2 → 9

Calls

2 calls:

135.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
64.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 121 to 109 computations (9.9% saved)

simplify210.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (180.0ms)

Iter	Nodes	Cost
0	4867	584
1	4867	584

prune113.0ms (2.4%)

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 739 to 559 computations (24.4% saved)

localize14.0ms (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))

rewrite29.0ms (0.6%)

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:

15.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))
8.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))

series201.0ms (4.3%)

Counts

2 → 9

Calls

2 calls:

137.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
64.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

Compiler

Compiled 121 to 109 computations (9.9% saved)

simplify165.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5542	478

prune67.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	43	5	48

Error

Counts

48 → 5

Compiler

Compiled 578 to 422 computations (27% saved)

localize15.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

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

0.1b

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

rewrite38.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
9×	`add-sqr-sqrt_binary64_100`
6×	`add-cube-cbrt_binary64_113` `associate-r_binary64_18` `*-un-lft-identity_binary64_78`
5×	`add-log-exp_binary64_117`
4×	`associate-l_binary64_19` `cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
2×	`-commutative_binary64_9` `flip-+_binary64_52` `unswap-sqr_binary64_46` `associate-r/_binary64_20` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `distribute-lft-in_binary64_27` `distribute-rgt-in_binary64_28` `sum-log_binary64_169`

Counts

3 → 52

Calls

3 calls:

12.0ms

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

12.0ms

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

7.0ms

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

series270.0ms (5.7%)

Counts

3 → 15

Calls

3 calls:

133.0ms

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

87.0ms

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

49.0ms

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

Compiler

Compiled 192 to 172 computations (10.4% saved)

simplify173.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	5017	781

prune103.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	66	1	67
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	67	5	72

Error

Counts

72 → 5

Compiler

Compiled 880 to 568 computations (35.5% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 2150310427208497/2251799813685248 (cbrt.f64 (*.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232)))
0.1b	(.f64 x (+.f64 2150310427208497/2251799813685248 (cbrt.f64 (.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232))))
0.1b	(*.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232)
22.1b	(cbrt.f64 (*.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232))

rewrite47.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_100`
13×	`*-un-lft-identity_binary64_78`
11×	`add-exp-log_binary64_116`
10×	`associate-l_binary64_19`
9×	`add-cube-cbrt_binary64_113`
8×	`add-cbrt-cube_binary64_114`
7×	`associate-r_binary64_18`
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` `flip-+_binary64_52` `sqr-pow_binary64_50` `associate-r/_binary64_20` `distribute-lft-out_binary64_29` `flip3-+_binary64_81`
1×	`+-commutative_binary64_8` `distribute-lft-in_binary64_27` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `pow1/3_binary64_160` `distribute-rgt-in_binary64_28` `pow-prod-down_binary64_149` `cbrt-prod_binary64_109` `sum-log_binary64_169`

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 x (+.f64 2150310427208497/2251799813685248 (cbrt.f64 (.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232))))
11.0ms	(*.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232)
7.0ms	(cbrt.f64 (*.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232))
6.0ms	(+.f64 2150310427208497/2251799813685248 (cbrt.f64 (*.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232)))

series395.0ms (8.4%)

Counts

4 → 18

Calls

4 calls:

143.0ms	(.f64 x (+.f64 2150310427208497/2251799813685248 (cbrt.f64 (.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232))))
101.0ms	(+.f64 2150310427208497/2251799813685248 (cbrt.f64 (*.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232)))
76.0ms	(*.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232)
74.0ms	(cbrt.f64 (*.f64 (pow.f64 x 6) -100410794696347307466492240129774699304007026303/46768052394588893382517914646921056628989841375232))

Compiler

Compiled 274 to 248 computations (9.5% saved)

simplify159.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	4798	1098
1	4798	1098

prune147.0ms (3.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	87	5	92

Error

Counts

92 → 5

Compiler

Compiled 1227 to 987 computations (19.6% saved)

regimes152.0ms (3.2%)

Accuracy

Total 0.1b remaining (97.7%)

Threshold costs 0.1b (97.7%)

Compiler

Compiled 598 to 486 computations (18.7% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	56	16
1	56	16

end0.0ms (0%)

sample1.4s (29.3%)

Algorithm

1×

intervals

Results

451.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 310 to 252 computations (18.7% saved)

Details

analyze450.0ms (9.6%)

sample23.0ms (0.5%)

simplify295.0ms (6.3%)

prune8.0ms (0.2%)

localize13.0ms (0.3%)

rewrite27.0ms (0.6%)

series199.0ms (4.2%)

simplify210.0ms (4.4%)

prune113.0ms (2.4%)

localize14.0ms (0.3%)

rewrite29.0ms (0.6%)

series201.0ms (4.3%)

simplify165.0ms (3.5%)

prune67.0ms (1.4%)

localize15.0ms (0.3%)

rewrite38.0ms (0.8%)

series270.0ms (5.7%)

simplify173.0ms (3.7%)

prune103.0ms (2.2%)

localize15.0ms (0.3%)

rewrite47.0ms (1%)

series395.0ms (8.4%)

simplify159.0ms (3.4%)

prune147.0ms (3.1%)

regimes152.0ms (3.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.4s (29.3%)

Profiling