Details

analyze5.0ms (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 (0.9%)

Algorithm

1×

intervals

Results

4.0ms	150×	body	128	valid
4.0ms	57×	body	512	valid
2.0ms	44×	body	256	valid
0.0ms	5×	body	1024	valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify175.0ms (10%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	73	13
1	73	13

prune6.0ms (0.3%)

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: 15.2b

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))
4.9b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))

rewrite34.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`*-un-lft-identity_binary64_79`
46×	`add-sqr-sqrt_binary64_101`
45×	`times-frac_binary64_85`
22×	`add-cube-cbrt_binary64_114`
13×	`cancel-sign-sub-inv_binary64_45`
10×	`distribute-lft-out--_binary64_31`
9×	`difference-of-squares_binary64_48`
7×	`distribute-lft-out_binary64_30`
6×	`add-exp-log_binary64_117` `div-inv_binary64_76`
4×	`associate-/r*_binary64_23` `add-cbrt-cube_binary64_115` `add-log-exp_binary64_118`
3×	`associate-/l*_binary64_24` `pow1_binary64_140`
2×	`div-exp_binary64_130` `associate-/r/_binary64_25`
1×	`cbrt-undiv_binary64_113` `flip-+_binary64_53` `1-exp_binary64_123` `rec-exp_binary64_129` `flip--_binary64_54` `frac-sub_binary64_88` `inv-pow_binary64_164` `diff-log_binary64_171` `clear-num_binary64_78` `flip3--_binary64_83` `flip3-+_binary64_82` `sub-neg_binary64_72` `frac-2neg_binary64_90` `pow-flip_binary64_153`

Counts

2 → 81

Calls

2 calls:

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

series48.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 x))
19.0ms	(/.f64 1 (+.f64 x 1))

simplify86.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	6006	1244

prune91.0ms (5.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	85	2	87
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Merged error: 0.0b

Counts

88 → 3

Compiler

Compiled 1470 to 1190 computations (19% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 -1 (*.f64 x (+.f64 1 x)))

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
3×	`times-frac_binary64_85` `add-cube-cbrt_binary64_114` `associate-/l_binary64_24` `add-sqr-sqrt_binary64_101` `-un-lft-identity_binary64_79`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `associate-*r/_binary64_21` `associate-/r/_binary64_25`
1×	`associate-/r*_binary64_23` `flip-+_binary64_53` `div-inv_binary64_76` `cbrt-unprod_binary64_112` `prod-exp_binary64_128` `add-log-exp_binary64_118` `clear-num_binary64_78` `flip3-+_binary64_82` `frac-2neg_binary64_90` `pow1_binary64_140`

Counts

1 → 23

Calls

1 calls:

7.0ms

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

series25.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify48.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5214	332

prune56.0ms (3.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	2	26
Fresh	1	0	1
Picked	0	1	1
Done	1	0	1
Total	26	3	29

Merged error: 0b

Counts

29 → 3

Compiler

Compiled 712 to 580 computations (18.5% 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%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`times-frac_binary64_85`
78×	`*-un-lft-identity_binary64_79`
50×	`add-cube-cbrt_binary64_114` `add-sqr-sqrt_binary64_101`
14×	`distribute-lft-out_binary64_30`
13×	`associate-/l*_binary64_24`
6×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115` `div-inv_binary64_76`
4×	`associate-/r*_binary64_23`
3×	`cbrt-undiv_binary64_113` `div-exp_binary64_130`
2×	`associate-/r/_binary64_25`
1×	`flip-+_binary64_53` `add-log-exp_binary64_118` `clear-num_binary64_78` `associate-/l/_binary64_26` `flip3-+_binary64_82` `frac-2neg_binary64_90` `pow1_binary64_140`

Counts

1 → 86

Calls

1 calls:

9.0ms

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

series25.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify75.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4924	1864
1	4924	1864

prune80.0ms (4.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	89	3	92

Merged error: 0b

Counts

92 → 3

Compiler

Compiled 1439 to 1039 computations (27.8% saved)

localize14.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 1 x))
0.2b	(/.f64 -1 (+.f64 x (pow.f64 x 4)))
21.0b	(.f64 (/.f64 -1 (+.f64 x (pow.f64 x 4))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))

rewrite38.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary64_79`
26×	`add-sqr-sqrt_binary64_101`
25×	`times-frac_binary64_85`
21×	`add-cube-cbrt_binary64_114`
18×	`associate-l_binary64_20`
10×	`add-exp-log_binary64_117` `add-cbrt-cube_binary64_115`
8×	`distribute-lft-out_binary64_30`
5×	`add-log-exp_binary64_118` `pow1_binary64_140`
4×	`associate-/r_binary64_23` `flip-+_binary64_53` `associate-/r/_binary64_25` `flip3-+_binary64_82` `associate-r*_binary64_19`
3×	`associate-/l*_binary64_24`
2×	`cbrt-undiv_binary64_113` `div-exp_binary64_130` `div-inv_binary64_76` `frac-times_binary64_89` `associate-*r/_binary64_21` `unswap-sqr_binary64_47` `cbrt-unprod_binary64_112` `prod-exp_binary64_128`
1×	`distribute-rgt-out--_binary64_33` `distribute-lft-in_binary64_28` `associate-l/_binary64_22` `flip--_binary64_54` `-commutative_binary64_10` `pow-prod-down_binary64_150` `diff-log_binary64_171` `clear-num_binary64_78` `flip3--_binary64_83` `cancel-sign-sub-inv_binary64_45` `distribute-rgt-in_binary64_29` `sub-neg_binary64_72` `frac-2neg_binary64_90`

Counts

3 → 90

Calls

3 calls:

18.0ms	(.f64 (/.f64 -1 (+.f64 x (pow.f64 x 4))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))
7.0ms	(/.f64 -1 (+.f64 x (pow.f64 x 4)))
4.0ms	(-.f64 (.f64 x x) (.f64 1 x))

series172.0ms (9.8%)

Counts

3 → 9

Calls

3 calls:

73.0ms	(/.f64 -1 (+.f64 x (pow.f64 x 4)))
55.0ms	(-.f64 (.f64 x x) (.f64 1 x))
43.0ms	(.f64 (/.f64 -1 (+.f64 x (pow.f64 x 4))) (+.f64 (.f64 1 1) (-.f64 (.f64 x x) (.f64 1 x))))

simplify45.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4989	1901
1	4989	1901

prune119.0ms (6.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	99	3	102

Merged error: 0b

Counts

102 → 3

Compiler

Compiled 2443 to 1609 computations (34.1% saved)

regimes9.0ms (0.5%)

Compiler: Compiled 35 to 29 computations (17.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample540.0ms (30.9%)

Algorithm

1×

intervals

Results

142.0ms	1955×	body	512	valid
125.0ms	4578×	body	128	valid
52.0ms	1069×	body	256	valid
37.0ms	398×	body	1024	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 50 to 43 computations (14% saved)

Details

analyze5.0ms (0.3%)

sample16.0ms (0.9%)

simplify175.0ms (10%)

prune6.0ms (0.3%)

localize5.0ms (0.3%)

rewrite34.0ms (2%)

series48.0ms (2.7%)

simplify86.0ms (4.9%)

prune91.0ms (5.2%)

localize5.0ms (0.3%)

rewrite8.0ms (0.5%)

series25.0ms (1.4%)

simplify48.0ms (2.8%)

prune56.0ms (3.2%)

localize4.0ms (0.3%)

rewrite18.0ms (1%)

series25.0ms (1.4%)

simplify75.0ms (4.3%)

prune80.0ms (4.6%)

localize14.0ms (0.8%)

rewrite38.0ms (2.2%)

series172.0ms (9.8%)

simplify45.0ms (2.6%)

prune119.0ms (6.8%)

regimes9.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample540.0ms (30.9%)

Profiling