Details

analyze11.0ms (0.3%)

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)

sample260.0ms (8%)

Algorithm

1×

intervals

Results

251.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify382.0ms (11.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (219.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13

prune11.0ms (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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize14.0ms (0.4%)

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))

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
12×	`associate-r_binary64`
7×	`add-exp-log_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
3×	`associate-l_binary64` `prod-exp_binary64`
2×	`pow1_binary64` `sqr-pow_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64` `pow-exp_binary64` `unpow3_binary64` `*-commutative_binary64` `cube-mult_binary64`

Counts

2 → 43

Calls

2 calls:

16.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
8.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

series138.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

70.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
68.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify132.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	4867	566
1	4867	566

prune67.0ms (2.1%)

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

Error

0.0b

Counts

51 → 4

Compiler

Compiled 707 to 536 computations (24.2% saved)

localize7.0ms (0.2%)

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

0.2b

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

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64`
2×	`*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `cancel-sign-sub-inv_binary64` `unswap-sqr_binary64` `flip--_binary64`

Counts

3 → 53

Calls

3 calls:

8.0ms

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

6.0ms

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

5.0ms

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

series145.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

87.0ms

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

33.0ms

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

25.0ms

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

simplify99.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4943	651
1	4943	651

prune65.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	62	4	66

Error

Counts

66 → 4

Compiler

Compiled 855 to 608 computations (28.9% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

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

0.1b

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

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
6×	`associate-r_binary64`
5×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
2×	`associate-l_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-rgt-out--_binary64` `cancel-sign-sub-inv_binary64` `flip--_binary64`

Counts

3 → 52

Calls

3 calls:

10.0ms

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

10.0ms

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

4.0ms

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

series171.0ms (5.3%)

Counts

3 → 9

Calls

3 calls:

113.0ms

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

37.0ms

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

21.0ms

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

simplify127.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	5645	651

prune95.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	62	3	65

Error

Counts

65 → 3

Compiler

Compiled 836 to 615 computations (26.4% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

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

0.1b

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

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
3×	`sub-neg_binary64` `cancel-sign-sub-inv_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `-commutative_binary64`
1×	`diff-log_binary64` `unswap-sqr_binary64`

Counts

3 → 54

Calls

3 calls:

10.0ms

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

6.0ms

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

3.0ms

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

series211.0ms (6.5%)

Counts

3 → 9

Calls

3 calls:

125.0ms

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

65.0ms

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

21.0ms

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

simplify128.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (100.0ms)

Iter	Nodes	Cost
0	4872	771
1	4872	771

prune76.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	63	3	66

Error

Counts

66 → 3

Compiler

Compiled 828 to 592 computations (28.5% saved)

regimes92.0ms (2.8%)

Accuracy

Total 0.1b remaining (95.4%)

Threshold costs 0.1b (95.4%)

Compiler

Compiled 416 to 334 computations (19.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample870.0ms (26.8%)

Algorithm

1×

intervals

Results

359.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 217 to 176 computations (18.9% saved)

Details

analyze11.0ms (0.3%)

sample260.0ms (8%)

simplify382.0ms (11.8%)

prune11.0ms (0.3%)

localize14.0ms (0.4%)

rewrite30.0ms (0.9%)

series138.0ms (4.3%)

simplify132.0ms (4.1%)

prune67.0ms (2.1%)

localize7.0ms (0.2%)

rewrite26.0ms (0.8%)

series145.0ms (4.5%)

simplify99.0ms (3.1%)

prune65.0ms (2%)

localize14.0ms (0.4%)

rewrite28.0ms (0.9%)

series171.0ms (5.3%)

simplify127.0ms (3.9%)

prune95.0ms (2.9%)

localize11.0ms (0.3%)

rewrite23.0ms (0.7%)

series211.0ms (6.5%)

simplify128.0ms (3.9%)

prune76.0ms (2.3%)

regimes92.0ms (2.8%)

bsearch0.0ms (0%)

simplify8.0ms (0.3%)

end0.0ms (0%)

sample870.0ms (26.8%)

Profiling