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)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify238.0ms (12%)

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

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)))

series87.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
26.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify97.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4867	566
1	4867	566

prune50.0ms (2.5%)

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 693 to 523 computations (24.5% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.2b

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

0.2b

(*.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))

series102.0ms (5.1%)

Counts

3 → 9

Calls

3 calls:

58.0ms

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

26.0ms

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

18.0ms

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

simplify64.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4943	651
1	4943	651

prune53.0ms (2.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Merged error: 0b

Counts

66 → 5

Compiler

Compiled 853 to 605 computations (29.1% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.2b

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

0.2b

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

rewrite20.0ms (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×	`associate-r_binary64_18`
5×	`add-sqr-sqrt_binary64_100` `add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
2×	`-commutative_binary64_9` `associate-l*_binary64_19`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `distribute-rgt-out--_binary64_32` `sub-neg_binary64_71`

Counts

3 → 52

Calls

3 calls:

7.0ms

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

5.0ms

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

4.0ms

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

series109.0ms (5.4%)

Counts

3 → 9

Calls

3 calls:

63.0ms

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

27.0ms

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

18.0ms

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

simplify86.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5645	651

prune49.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	61	5	66

Merged error: 0b

Counts

66 → 5

Compiler

Compiled 834 to 612 computations (26.6% saved)

localize12.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 (.f64 x x)) (cbrt.f64 (pow.f64 x 3))))
0.2b	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))
0.2b	(.f64 4647935950575487/36028797018963968 (.f64 x x))
30.0b	(cbrt.f64 (pow.f64 x 3))

rewrite30.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_109`
18×	`add-exp-log_binary64_116` `pow1_binary64_139`
16×	`associate-r_binary64_18`
15×	`add-cbrt-cube_binary64_114`
13×	`add-sqr-sqrt_binary64_100`
12×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
9×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
6×	`add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `cube-prod_binary64_106`
4×	`associate-l_binary64_19`
2×	`cube-mult_binary64_108` `*-commutative_binary64_9` `sqr-pow_binary64_50` `unpow3_binary64_144`
1×	`rem-cbrt-cube_binary64_102` `flip3--_binary64_82` `diff-log_binary64_170` `pow1/3_binary64_160` `flip--_binary64_53` `unswap-sqr_binary64_46` `cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`

Counts

4 → 85

Calls

4 calls:

12.0ms	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))
6.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 (.f64 x x)) (cbrt.f64 (pow.f64 x 3))))
2.0ms	(cbrt.f64 (pow.f64 x 3))

series136.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 (.f64 x x)) (cbrt.f64 (pow.f64 x 3))))
35.0ms	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) (cbrt.f64 (pow.f64 x 3)))
17.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))
13.0ms	(cbrt.f64 (pow.f64 x 3))

simplify78.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4914	900
1	4914	900

prune82.0ms (4.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	97	5	102

Merged error: 0b

Counts

102 → 5

Compiler

Compiled 1458 to 1000 computations (31.4% saved)

regimes54.0ms (2.7%)

Compiler: Compiled 394 to 310 computations (21.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample571.0ms (28.7%)

Algorithm

1×

intervals

Results

231.0ms

8000×

body

128

valid

Compiler

Compiled 206 to 164 computations (20.4% saved)

Details

analyze4.0ms (0.2%)

sample12.0ms (0.6%)

simplify238.0ms (12%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite13.0ms (0.7%)

series87.0ms (4.4%)

simplify97.0ms (4.8%)

prune50.0ms (2.5%)

localize6.0ms (0.3%)

rewrite21.0ms (1%)

series102.0ms (5.1%)

simplify64.0ms (3.2%)

prune53.0ms (2.7%)

localize7.0ms (0.3%)

rewrite20.0ms (1%)

series109.0ms (5.4%)

simplify86.0ms (4.3%)

prune49.0ms (2.5%)

localize12.0ms (0.6%)

rewrite30.0ms (1.5%)

series136.0ms (6.8%)

simplify78.0ms (3.9%)

prune82.0ms (4.1%)

regimes54.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample571.0ms (28.7%)

Profiling