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)

sample18.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify296.0ms (13.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4704	13
1	4704	13

prune5.0ms (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: 0.1b

Counts

2 → 2

Compiler

Compiled 49 to 40 computations (18.4% 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))

rewrite19.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_101`
12×	`associate-r_binary64_19`
7×	`add-exp-log_binary64_117`
6×	`add-cube-cbrt_binary64_114` `*-un-lft-identity_binary64_79`
4×	`add-cbrt-cube_binary64_115` `unswap-sqr_binary64_47` `unpow-prod-down_binary64_158` `add-log-exp_binary64_118` `cube-prod_binary64_107`
3×	`associate-l_binary64_20` `prod-exp_binary64_128`
2×	`sqr-pow_binary64_51` `pow1_binary64_140`
1×	`pow-exp_binary64_147` `pow-to-exp_binary64_148` `flip--_binary64_54` `cube-mult_binary64_109` `cbrt-unprod_binary64_112` `*-commutative_binary64_10` `diff-log_binary64_171` `flip3--_binary64_83` `cancel-sign-sub-inv_binary64_45` `sub-neg_binary64_72` `unpow3_binary64_145`

Counts

2 → 43

Calls

2 calls:

8.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
7.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

series175.0ms (7.9%)

Counts

2 → 6

Calls

2 calls:

123.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
52.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify47.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5186	572

prune100.0ms (4.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	47	4	51

Merged error: 0.0b

Counts

51 → 4

Compiler

Compiled 1372 to 1095 computations (20.2% 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))

rewrite18.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `pow1_binary64_140`
8×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128` `pow-prod-down_binary64_150`
4×	`add-log-exp_binary64_118`
2×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101` `*-un-lft-identity_binary64_79`
1×	`associate-l_binary64_20` `flip--_binary64_54` `-commutative_binary64_10` `diff-log_binary64_171` `flip3--_binary64_83` `cancel-sign-sub-inv_binary64_45` `sub-neg_binary64_72` `associate-r*_binary64_19`

Counts

2 → 34

Calls

2 calls:

8.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))
7.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))

series190.0ms (8.6%)

Counts

2 → 6

Calls

2 calls:

132.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
58.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

simplify77.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5512	460

prune43.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

Compiler

Compiled 683 to 508 computations (25.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.0b

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

0.1b

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

rewrite23.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `pow1_binary64_140`
9×	`add-sqr-sqrt_binary64_101`
6×	`add-cube-cbrt_binary64_114` `associate-r_binary64_19` `*-un-lft-identity_binary64_79`
5×	`add-log-exp_binary64_118`
4×	`associate-l_binary64_20` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `pow-prod-down_binary64_150`
2×	`flip-+_binary64_53` `associate-r/_binary64_21` `unswap-sqr_binary64_47` `-commutative_binary64_10` `flip3-+_binary64_82`
1×	`sum-log_binary64_170` `distribute-lft-in_binary64_28` `+-commutative_binary64_9` `distribute-rgt-in_binary64_29`

Counts

3 → 52

Calls

3 calls:

7.0ms

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

7.0ms

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

6.0ms

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

series244.0ms (11%)

Counts

3 → 9

Calls

3 calls:

123.0ms

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

85.0ms

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

37.0ms

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

simplify58.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5049	748

prune65.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	61	4	65

Merged error: 0.0b

Counts

65 → 4

Compiler

Compiled 1051 to 714 computations (32.1% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.0b

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

0.2b

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

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `pow1_binary64_140`
8×	`add-sqr-sqrt_binary64_101`
6×	`associate-l_binary64_20` `add-cube-cbrt_binary64_114` `*-un-lft-identity_binary64_79`
5×	`add-log-exp_binary64_118`
4×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128` `pow-prod-down_binary64_150` `associate-r_binary64_19`
2×	`flip-+_binary64_53` `associate-r/_binary64_21` `-commutative_binary64_10` `flip3-+_binary64_82`
1×	`sum-log_binary64_170` `distribute-lft-in_binary64_28` `+-commutative_binary64_9` `unswap-sqr_binary64_47` `distribute-rgt-in_binary64_29`

Counts

3 → 51

Calls

3 calls:

6.0ms

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

6.0ms

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

4.0ms

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

series248.0ms (11.2%)

Counts

3 → 9

Calls

3 calls:

128.0ms

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

82.0ms

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

38.0ms

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

simplify57.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4975	732
1	4975	732

prune44.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	60	4	64

Merged error: 0.0b

Counts

64 → 4

Compiler

Compiled 799 to 570 computations (28.7% saved)

regimes11.0ms (0.5%)

Compiler: Compiled 58 to 48 computations (17.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample427.0ms (19.2%)

Algorithm

1×

intervals

Results

233.0ms

8000×

body

128

valid

Compiler

Compiled 77 to 63 computations (18.2% saved)

Details

analyze4.0ms (0.2%)

sample18.0ms (0.8%)

simplify296.0ms (13.4%)

prune5.0ms (0.2%)

localize6.0ms (0.3%)

rewrite19.0ms (0.8%)

series175.0ms (7.9%)

simplify47.0ms (2.1%)

prune100.0ms (4.5%)

localize7.0ms (0.3%)

rewrite18.0ms (0.8%)

series190.0ms (8.6%)

simplify77.0ms (3.5%)

prune43.0ms (2%)

localize6.0ms (0.3%)

rewrite23.0ms (1%)

series244.0ms (11%)

simplify58.0ms (2.6%)

prune65.0ms (2.9%)

localize6.0ms (0.3%)

rewrite19.0ms (0.9%)

series248.0ms (11.2%)

simplify57.0ms (2.6%)

prune44.0ms (2%)

regimes11.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample427.0ms (19.2%)

Profiling