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)

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify224.0ms (11.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (135.0ms)

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

Merged error: 0.0b

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)))

series96.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

71.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
25.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify91.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4867	566
1	4867	566

prune51.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	45	6	51

Merged error: 0b

Counts

51 → 6

Compiler

Compiled 718 to 543 computations (24.4% 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)))
0.2b	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

rewrite13.0ms (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)))

series93.0ms (4.8%)

Counts

2 → 6

Calls

2 calls:

63.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
29.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

simplify76.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5524	460

prune34.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	40	6	46

Merged error: 0b

Counts

46 → 6

Compiler

Compiled 557 to 406 computations (27.1% saved)

localize8.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 2150310427208497/2251799813685248 (.f64 (*.f64 x x) -4647935950575487/36028797018963968)))
0.2b	(.f64 (.f64 x x) -4647935950575487/36028797018963968)

rewrite15.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 41

Calls

2 calls:

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

series76.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(.f64 x (+.f64 2150310427208497/2251799813685248 (.f64 (*.f64 x x) -4647935950575487/36028797018963968)))
18.0ms	(.f64 (.f64 x x) -4647935950575487/36028797018963968)

simplify78.0ms (4%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4932	558
1	4932	558

prune39.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	47	6	53

Merged error: 0b

Counts

53 → 6

Compiler

Compiled 663 to 432 computations (34.8% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

0.2b

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

0.2b

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

rewrite25.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_100`
18×	`associate-l_binary64_19` `add-exp-log_binary64_116`
10×	`add-cbrt-cube_binary64_114` `sqrt-prod_binary64_94` `prod-exp_binary64_127` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
8×	`unswap-sqr_binary64_46`
7×	`associate-r_binary64_18`
5×	`add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `cube-prod_binary64_106` `pow1_binary64_139`
4×	`cbrt-unprod_binary64_111`
3×	`sqr-pow_binary64_50`
2×	`*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147`
1×	`cube-mult_binary64_108` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `pow-prod-down_binary64_149` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71`

Counts

3 → 72

Calls

3 calls:

8.0ms

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

8.0ms

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

series192.0ms (9.9%)

Counts

3 → 9

Calls

3 calls:

95.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

58.0ms

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

39.0ms

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

simplify48.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4946	1026
1	4946	1026

prune78.0ms (4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	81	6	87

Merged error: 0b

Counts

87 → 6

Compiler

Compiled 1305 to 1064 computations (18.5% saved)

regimes52.0ms (2.7%)

Compiler: Compiled 420 to 338 computations (19.5% 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%)

sample589.0ms (30.4%)

Algorithm

1×

intervals

Results

238.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 219 to 178 computations (18.7% saved)

Details

analyze4.0ms (0.2%)

sample16.0ms (0.8%)

simplify224.0ms (11.5%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite13.0ms (0.7%)

series96.0ms (4.9%)

simplify91.0ms (4.7%)

prune51.0ms (2.6%)

localize6.0ms (0.3%)

rewrite13.0ms (0.7%)

series93.0ms (4.8%)

simplify76.0ms (3.9%)

prune34.0ms (1.8%)

localize8.0ms (0.4%)

rewrite15.0ms (0.8%)

series76.0ms (3.9%)

simplify78.0ms (4%)

prune39.0ms (2%)

localize8.0ms (0.4%)

rewrite25.0ms (1.3%)

series192.0ms (9.9%)

simplify48.0ms (2.5%)

prune78.0ms (4%)

regimes52.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample589.0ms (30.4%)

Profiling