Details

analyze4.0ms (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
62.5%	37.5%	0%	4
81.2%	18.7%	0%	5
90.6%	9.4%	0%	6
95.3%	4.7%	0%	7
97.6%	2.3%	0%	8
98.8%	1.2%	0%	9
99.4%	0.6%	0%	10
99.7%	0.3%	0%	11
99.8%	0.1%	0%	12
99.9%	0.1%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample16.0ms (1%)

Algorithm

1×

intervals

Results

4.0ms	64×	body	512	valid
4.0ms	148×	body	128	valid
1.0ms	31×	body	256	valid
1.0ms	13×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 13.9b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
4.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite34.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64`
46×	`add-sqr-sqrt_binary64`
45×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
13×	`cancel-sign-sub-inv_binary64`
10×	`distribute-lft-out--_binary64`
9×	`difference-of-squares_binary64`
7×	`distribute-lft-out_binary64`
6×	`div-inv_binary64`
5×	`add-exp-log_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `div-exp_binary64` `flip--_binary64` `pow-flip_binary64` `flip-+_binary64` `frac-sub_binary64`

Counts

2 → 80

Calls

2 calls:

21.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
6.0ms	(/.f64 1 (+.f64 x 1))

series49.0ms (3%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
17.0ms	(/.f64 1 (+.f64 x 1))

simplify83.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	6017	1236

prune89.0ms (5.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	3	87

Merged error: 0.0b

Counts

87 → 3

Compiler

Compiled 1460 to 1182 computations (19% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 1 x))
0.3b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite16.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
6×	`add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64` `associate-*r/_binary64`
3×	`associate-l_binary64` `associate-/l*_binary64` `times-frac_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-/r_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 46

Calls

2 calls:

7.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))
7.0ms	(*.f64 x (+.f64 1 x))

series80.0ms (5%)

Counts

2 → 6

Calls

2 calls:

55.0ms	(*.f64 x (+.f64 1 x))
25.0ms	(/.f64 -1 (*.f64 x (+.f64 1 x)))

simplify81.0ms (5%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4950	553
1	4950	553

prune78.0ms (4.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	50	5	55

Merged error: 0.0b

Counts

55 → 5

Compiler

Compiled 1153 to 910 computations (21.1% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 (/.f64 -1 x) (+.f64 1 x))

rewrite18.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64`
78×	`*-un-lft-identity_binary64`
50×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`distribute-lft-out_binary64`
13×	`associate-/l*_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
4×	`associate-/r*_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/r/_binary64`
1×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`

Counts

1 → 86

Calls

1 calls:

9.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

series24.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

24.0ms

(/.f64 (/.f64 -1 x) (+.f64 1 x))

simplify74.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4926	1864
1	4926	1864

prune102.0ms (6.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	88	6	94

Merged error: 0.0b

Counts

94 → 6

Compiler

Compiled 1773 to 1317 computations (25.7% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 -1 (+.f64 x 1))
0.1b	(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))

rewrite32.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary64`
42×	`*-un-lft-identity_binary64`
40×	`times-frac_binary64`
26×	`add-cube-cbrt_binary64`
21×	`add-exp-log_binary64`
18×	`associate-r_binary64`
16×	`add-cbrt-cube_binary64`
13×	`associate-l_binary64`
7×	`distribute-lft-out_binary64`
6×	`unswap-sqr_binary64` `prod-exp_binary64` `div-exp_binary64`
5×	`cbrt-undiv_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `cbrt-unprod_binary64` `associate-/r/_binary64`
3×	`associate-/l*_binary64` `div-inv_binary64`
2×	`flip3-+_binary64` `add-log-exp_binary64` `rec-exp_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

2 → 92

Calls

2 calls:

16.0ms	(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
5.0ms	(/.f64 -1 (+.f64 x 1))

series46.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

26.0ms	(*.f64 (/.f64 1 x) (/.f64 -1 (+.f64 x 1)))
20.0ms	(/.f64 -1 (+.f64 x 1))

simplify63.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5041	1359

prune89.0ms (5.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

Compiler

Compiled 1508 to 1175 computations (22.1% saved)

regimes15.0ms (0.9%)

Compiler: Compiled 84 to 71 computations (15.5% saved)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample584.0ms (36.2%)

Algorithm

1×

intervals

Results

147.0ms	2038×	body	512	valid
125.0ms	4556×	body	128	valid
49.0ms	1009×	body	256	valid
37.0ms	397×	body	1024	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 99 to 85 computations (14.1% saved)

Details

analyze4.0ms (0.3%)

sample16.0ms (1%)

simplify10.0ms (0.6%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite34.0ms (2.1%)

series49.0ms (3%)

simplify83.0ms (5.2%)

prune89.0ms (5.5%)

localize7.0ms (0.4%)

rewrite16.0ms (1%)

series80.0ms (5%)

simplify81.0ms (5%)

prune78.0ms (4.8%)

localize4.0ms (0.3%)

rewrite18.0ms (1.1%)

series24.0ms (1.5%)

simplify74.0ms (4.6%)

prune102.0ms (6.3%)

localize5.0ms (0.3%)

rewrite32.0ms (2%)

series46.0ms (2.9%)

simplify63.0ms (3.9%)

prune89.0ms (5.5%)

regimes15.0ms (0.9%)

bsearch0.0ms (0%)

simplify1.0ms (0.1%)

end0.0ms (0%)

sample584.0ms (36.2%)

Profiling