Details

analyze4.0ms (0.1%)

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 (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify283.0ms (11.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4792	13
1	4792	13

prune4.0ms (0.1%)

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 29 to 24 computations (17.2% 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_98`
12×	`associate-r_binary64_19`
7×	`add-exp-log_binary64_112`
6×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
4×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `unswap-sqr_binary64_45` `unpow-prod-down_binary64_153` `cube-prod_binary64_102`
3×	`associate-l_binary64_20` `prod-exp_binary64_123`
2×	`sqr-pow_binary64_49` `pow1_binary64_135`
1×	`pow-to-exp_binary64_143` `cbrt-unprod_binary64_107` `sub-neg_binary64_70` `pow-exp_binary64_142` `cube-mult_binary64_104` `flip--_binary64_52` `*-commutative_binary64_10` `flip3--_binary64_81` `diff-log_binary64_166` `unpow3_binary64_140`

Counts

2 → 42

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)))

series173.0ms (6.8%)

Counts

2 → 6

Calls

2 calls:

116.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
57.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify47.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5335	565

prune51.0ms (2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	44	4	48
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	45	5	50

Merged error: 0.0b

Counts

50 → 5

Compiler

Compiled 719 to 553 computations (23.1% 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))

0.1b

(*.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_112` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
9×	`pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
6×	`add-sqr-sqrt_binary64_98`
5×	`add-log-exp_binary64_113` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
4×	`associate-l_binary64_20` `associate-r_binary64_19`
2×	`*-commutative_binary64_10`
1×	`distribute-rgt-out--_binary64_33` `sub-neg_binary64_70` `flip--_binary64_52` `unswap-sqr_binary64_45` `flip3--_binary64_81` `diff-log_binary64_166`

Counts

3 → 52

Calls

3 calls:

10.0ms

(*.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))

series212.0ms (8.3%)

Counts

3 → 9

Calls

3 calls:

128.0ms

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

50.0ms

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

33.0ms

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

simplify91.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4821	644
1	4821	644

prune55.0ms (2.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	60	6	66

Merged error: 0b

Counts

66 → 6

Compiler

Compiled 854 to 589 computations (31% saved)

localize6.0ms (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))

rewrite19.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
9×	`add-sqr-sqrt_binary64_98`
6×	`associate-l_binary64_20` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
5×	`add-log-exp_binary64_113`
4×	`pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123` `associate-r_binary64_19`
3×	`sub-neg_binary64_70`
2×	`flip--_binary64_52` `associate-r/_binary64_21` `unswap-sqr_binary64_45` `-commutative_binary64_10` `flip3--_binary64_81`
1×	`distribute-lft-in_binary64_28` `diff-log_binary64_166` `distribute-rgt-in_binary64_29`

Counts

3 → 52

Calls

3 calls:

6.0ms

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

6.0ms

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

3.0ms

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

series230.0ms (9%)

Counts

3 → 9

Calls

3 calls:

122.0ms

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

70.0ms

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

37.0ms

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

simplify42.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5303	753

prune51.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

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

Merged error: 0b

Counts

67 → 6

Compiler

Compiled 853 to 558 computations (34.6% 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)))

rewrite27.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_98`
18×	`add-exp-log_binary64_112` `associate-l_binary64_20`
10×	`sqrt-prod_binary64_92` `add-cbrt-cube_binary64_110` `prod-exp_binary64_123` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
8×	`unswap-sqr_binary64_45`
7×	`associate-r_binary64_19`
5×	`add-log-exp_binary64_113` `pow1_binary64_135` `unpow-prod-down_binary64_153` `cube-prod_binary64_102`
4×	`cbrt-unprod_binary64_107`
3×	`sqr-pow_binary64_49`
2×	`pow-to-exp_binary64_143` `pow-exp_binary64_142` `*-commutative_binary64_10`
1×	`pow-prod-down_binary64_145` `sub-neg_binary64_70` `cube-mult_binary64_104` `flip--_binary64_52` `flip3--_binary64_81` `diff-log_binary64_166` `unpow3_binary64_140`

Counts

3 → 71

Calls

3 calls:

9.0ms

(*.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))))

series366.0ms (14.3%)

Counts

3 → 9

Calls

3 calls:

185.0ms

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

103.0ms

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

77.0ms

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

simplify77.0ms (3%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4990	1008
1	4990	1008

prune80.0ms (3.1%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	80	6	86

Merged error: 0b

Counts

86 → 6

Compiler

Compiled 1288 to 1048 computations (18.6% saved)

regimes60.0ms (2.3%)

Compiler: Compiled 454 to 370 computations (18.5% 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%)

sample604.0ms (23.6%)

Algorithm

1×

intervals

Results

232.0ms

8000×

body

128

valid

Compiler

Compiled 236 to 194 computations (17.8% saved)

Details

analyze4.0ms (0.1%)

sample16.0ms (0.6%)

simplify283.0ms (11.1%)

prune4.0ms (0.1%)

localize6.0ms (0.2%)

rewrite15.0ms (0.6%)

series173.0ms (6.8%)

simplify47.0ms (1.8%)

prune51.0ms (2%)

localize6.0ms (0.3%)

rewrite24.0ms (1%)

series212.0ms (8.3%)

simplify91.0ms (3.6%)

prune55.0ms (2.2%)

localize6.0ms (0.2%)

rewrite19.0ms (0.7%)

series230.0ms (9%)

simplify42.0ms (1.6%)

prune51.0ms (2%)

localize8.0ms (0.3%)

rewrite27.0ms (1.1%)

series366.0ms (14.3%)

simplify77.0ms (3%)

prune80.0ms (3.1%)

regimes60.0ms (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample604.0ms (23.6%)

Profiling