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	61×	body	512	valid
4.0ms	150×	body	128	valid
2.0ms	16×	body	1024	valid
1.0ms	29×	body	256	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify11.0ms (0.7%)

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: 15.6b

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))
2.4b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite31.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

20.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
6.0ms	(/.f64 1 (+.f64 x 1))

series50.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

32.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
18.0ms	(/.f64 1 (+.f64 x 1))

simplify84.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4878	1178
1	4878	1178

prune67.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	2	75

Merged error: 0.3b

Counts

75 → 2

Compiler

Compiled 1136 to 910 computations (19.9% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `associate-/l_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `div-inv_binary64` `flip-+_binary64`

Counts

1 → 23

Calls

1 calls:

7.0ms

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

series25.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify47.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5190	332

prune28.0ms (1.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	24	4	28

Merged error: 0b

Counts

28 → 4

Compiler

Compiled 328 to 254 computations (22.6% saved)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (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 (4.7%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4939	1864
1	4939	1864

prune83.0ms (5.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	89	4	93

Merged error: 0b

Counts

93 → 4

Compiler

Compiled 1450 to 1048 computations (27.7% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 x (pow.f64 x 3))
0.4b	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
5.0b	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))

rewrite50.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

95×	`add-sqr-sqrt_binary64`
58×	`*-un-lft-identity_binary64`
55×	`times-frac_binary64`
34×	`difference-of-squares_binary64`
33×	`associate-l_binary64`
31×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r*_binary64` `distribute-lft-out--_binary64`
8×	`distribute-rgt-out--_binary64` `sqr-pow_binary64` `unpow-prod-down_binary64` `cube-prod_binary64` `unpow3_binary64`
6×	`associate-r_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
4×	`associate-/r/_binary64`
3×	`sub-neg_binary64` `associate-/l*_binary64`
2×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 131

Calls

3 calls:

19.0ms	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))
9.0ms	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
6.0ms	(-.f64 x (pow.f64 x 3))

series181.0ms (11.4%)

Counts

3 → 9

Calls

3 calls:

91.0ms	(-.f64 x (pow.f64 x 3))
54.0ms	(/.f64 -1 (-.f64 x (pow.f64 x 3)))
36.0ms	(*.f64 (/.f64 -1 (-.f64 x (pow.f64 x 3))) (-.f64 1 x))

simplify69.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5227	2458

prune147.0ms (9.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	140	4	144

Merged error: 0b

Counts

144 → 4

Compiler

Compiled 2607 to 1900 computations (27.1% saved)

regimes10.0ms (0.6%)

Compiler: Compiled 46 to 38 computations (17.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample538.0ms (33.8%)

Algorithm

1×

intervals

Results

147.0ms	2029×	body	512	valid
121.0ms	4573×	body	128	valid
47.0ms	983×	body	256	valid
41.0ms	415×	body	1024	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 61 to 52 computations (14.8% saved)

Details

analyze4.0ms (0.3%)

sample16.0ms (1%)

simplify11.0ms (0.7%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite31.0ms (1.9%)

series50.0ms (3.2%)

simplify84.0ms (5.3%)

prune67.0ms (4.2%)

localize4.0ms (0.3%)

rewrite8.0ms (0.5%)

series25.0ms (1.6%)

simplify47.0ms (2.9%)

prune28.0ms (1.8%)

localize4.0ms (0.3%)

rewrite17.0ms (1.1%)

series24.0ms (1.5%)

simplify74.0ms (4.7%)

prune83.0ms (5.2%)

localize7.0ms (0.5%)

rewrite50.0ms (3.1%)

series181.0ms (11.4%)

simplify69.0ms (4.3%)

prune147.0ms (9.2%)

regimes10.0ms (0.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample538.0ms (33.8%)

Profiling