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 (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify294.0ms (11.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (131.0ms)

Iter	Nodes	Cost
0	4704	13
1	4704	13

prune9.0ms (0.3%)

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 (0.2%)

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))

rewrite15.0ms (0.6%)

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))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

series173.0ms (7%)

Counts

2 → 6

Calls

2 calls:

123.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
50.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify48.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5186	572

prune93.0ms (3.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	45	4	49
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	46	5	51

Merged error: 0.0b

Counts

51 → 5

Compiler

Compiled 1307 to 1044 computations (20.1% saved)

localize9.0ms (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))

0.1b

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

0.1b

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

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `pow1_binary64_140`
9×	`cbrt-unprod_binary64_112` `prod-exp_binary64_128` `pow-prod-down_binary64_150`
6×	`add-sqr-sqrt_binary64_101`
5×	`add-cube-cbrt_binary64_114` `add-log-exp_binary64_118` `*-un-lft-identity_binary64_79`
4×	`associate-l_binary64_20` `associate-r_binary64_19`
2×	`*-commutative_binary64_10`
1×	`distribute-rgt-out--_binary64_33` `flip--_binary64_54` `unswap-sqr_binary64_47` `diff-log_binary64_171` `flip3--_binary64_83` `cancel-sign-sub-inv_binary64_45` `sub-neg_binary64_72`

Counts

3 → 53

Calls

3 calls:

9.0ms

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

7.0ms

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

5.0ms

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

series225.0ms (9.1%)

Counts

3 → 9

Calls

3 calls:

145.0ms

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

47.0ms

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

32.0ms

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

simplify79.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5457	651

prune77.0ms (3.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	61	6	67

Merged error: 0b

Counts

67 → 6

Compiler

Compiled 1187 to 876 computations (26.2% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

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

0.1b

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

rewrite22.0ms (0.9%)

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×	`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`
3×	`cancel-sign-sub-inv_binary64_45` `sub-neg_binary64_72`
2×	`distribute-lft-in_binary64_28` `flip--_binary64_54` `associate-r/_binary64_21` `unswap-sqr_binary64_47` `-commutative_binary64_10` `flip3--_binary64_83` `distribute-rgt-in_binary64_29`
1×	`diff-log_binary64_171`

Counts

3 → 55

Calls

3 calls:

6.0ms

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

6.0ms

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

6.0ms

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

series235.0ms (9.5%)

Counts

3 → 9

Calls

3 calls:

119.0ms

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

76.0ms

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

41.0ms

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

simplify44.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5457	782

prune59.0ms (2.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	64	6	70

Merged error: 0b

Counts

70 → 6

Compiler

Compiled 958 to 644 computations (32.8% saved)

localize8.0ms (0.3%)

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

0.2b

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

rewrite29.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_101`
18×	`add-exp-log_binary64_117` `associate-l_binary64_20`
10×	`sqrt-prod_binary64_95` `add-cbrt-cube_binary64_115` `add-cube-cbrt_binary64_114` `prod-exp_binary64_128` `*-un-lft-identity_binary64_79`
8×	`unswap-sqr_binary64_47`
7×	`associate-r_binary64_19`
5×	`unpow-prod-down_binary64_158` `add-log-exp_binary64_118` `cube-prod_binary64_107` `pow1_binary64_140`
4×	`cbrt-unprod_binary64_112`
3×	`sqr-pow_binary64_51`
2×	`pow-exp_binary64_147` `pow-to-exp_binary64_148` `*-commutative_binary64_10`
1×	`flip--_binary64_54` `cube-mult_binary64_109` `pow-prod-down_binary64_150` `diff-log_binary64_171` `flip3--_binary64_83` `cancel-sign-sub-inv_binary64_45` `sub-neg_binary64_72` `unpow3_binary64_145`

Counts

3 → 72

Calls

3 calls:

10.0ms

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

9.0ms

(*.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))))

series373.0ms (15.1%)

Counts

3 → 9

Calls

3 calls:

187.0ms

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

107.0ms

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

79.0ms

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

simplify81.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4893	1015
1	4893	1015

prune80.0ms (3.2%)

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 1297 to 1055 computations (18.7% saved)

regimes15.0ms (0.6%)

Compiler: Compiled 71 to 61 computations (14.1% 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%)

sample455.0ms (18.4%)

Algorithm

1×

intervals

Results

232.0ms

8000×

body

128

valid

Compiler

Compiled 90 to 77 computations (14.4% saved)

Details

analyze4.0ms (0.2%)

sample12.0ms (0.5%)

simplify294.0ms (11.9%)

prune9.0ms (0.3%)

localize6.0ms (0.2%)

rewrite15.0ms (0.6%)

series173.0ms (7%)

simplify48.0ms (1.9%)

prune93.0ms (3.8%)

localize9.0ms (0.3%)

rewrite24.0ms (1%)

series225.0ms (9.1%)

simplify79.0ms (3.2%)

prune77.0ms (3.1%)

localize5.0ms (0.2%)

rewrite22.0ms (0.9%)

series235.0ms (9.5%)

simplify44.0ms (1.8%)

prune59.0ms (2.4%)

localize8.0ms (0.3%)

rewrite29.0ms (1.2%)

series373.0ms (15.1%)

simplify81.0ms (3.3%)

prune80.0ms (3.2%)

regimes15.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample455.0ms (18.4%)

Profiling