Details

analyze123.0ms (6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample28.0ms (1.4%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify183.0ms (8.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	256	10
1	256	10

prune3.0ms (0.2%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b	(*.f64 (+.f64 x 1) y)

rewrite26.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_6920` `*-un-lft-identity_binary64_6898`
5×	`add-cube-cbrt_binary64_6933`
4×	`pow1_binary64_6959` `add-exp-log_binary64_6936` `add-log-exp_binary64_6937` `add-cbrt-cube_binary64_6934` `associate-l_binary64_6839`
3×	`associate-r_binary64_6838` `cancel-sign-sub-inv_binary64_6864`
2×	`associate-*l/_binary64_6841`
1×	`sub-neg_binary64_6891` `flip-+_binary64_6872` `prod-exp_binary64_6947` `distribute-lft-out_binary64_6849` `flip3-+_binary64_6901` `flip--_binary64_6873` `unswap-sqr_binary64_6866` `cbrt-unprod_binary64_6931` `*-commutative_binary64_6829` `flip3--_binary64_6902` `pow-prod-down_binary64_6969` `diff-log_binary64_6990`

Counts

2 → 35

Calls

2 calls:

11.0ms	(*.f64 (+.f64 x 1) y)
11.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

series55.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(*.f64 (+.f64 x 1) y)
26.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify87.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4971	449
1	4971	449

prune53.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

Compiler

Compiled 487 to 311 computations (36.1% saved)

localize15.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
5.2b	(.f64 y (-.f64 (.f64 x x) 1))
5.8b	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

rewrite71.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_6920`
19×	`*-un-lft-identity_binary64_6898`
10×	`add-cube-cbrt_binary64_6933` `add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
9×	`cancel-sign-sub-inv_binary64_6864`
7×	`associate-/r*_binary64_6842` `times-frac_binary64_6904` `difference-of-squares_binary64_6867`
6×	`associate-r_binary64_6838`
5×	`pow1_binary64_6959` `add-log-exp_binary64_6937`
4×	`flip--_binary64_6873` `distribute-lft-in_binary64_6847` `associate-*r/_binary64_6840` `flip3--_binary64_6902` `distribute-rgt-in_binary64_6848`
3×	`sub-neg_binary64_6891` `difference-of-sqr-1_binary64_6868` `distribute-lft-out--_binary64_6850` `associate-l_binary64_6839`
2×	`prod-exp_binary64_6947` `div-exp_binary64_6949` `cbrt-undiv_binary64_6932` `associate-/r/_binary64_6844` `cbrt-unprod_binary64_6931` `associate-/l/_binary64_6845`
1×	`unswap-sqr_binary64_6866` `-commutative_binary64_6829` `clear-num_binary64_6897` `pow-prod-down_binary64_6969` `frac-2neg_binary64_6909` `div-inv_binary64_6895` `diff-log_binary64_6990` `associate-/l_binary64_6843`

Counts

3 → 80

Calls

3 calls:

26.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
19.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
14.0ms	(.f64 y (-.f64 (.f64 x x) 1))

series271.0ms (13.2%)

Counts

3 → 9

Calls

3 calls:

120.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
81.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
70.0ms	(.f64 y (-.f64 (.f64 x x) 1))

simplify114.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4988	1220
1	4988	1220

prune132.0ms (6.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	2	91

Merged error: 0b

Counts

91 → 2

Compiler

Compiled 1433 to 852 computations (40.5% saved)

regimes83.0ms (4%)

Compiler: Compiled 267 to 224 computations (16.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample799.0ms (38.8%)

Algorithm

1×

intervals

Results

328.0ms	7999×	body	128	valid
3.0ms	70×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 98 to 83 computations (15.3% saved)

Details

analyze123.0ms (6%)

sample28.0ms (1.4%)

simplify183.0ms (8.9%)

prune3.0ms (0.2%)

localize9.0ms (0.4%)

rewrite26.0ms (1.2%)

series55.0ms (2.7%)

simplify87.0ms (4.3%)

prune53.0ms (2.6%)

localize15.0ms (0.7%)

rewrite71.0ms (3.5%)

series271.0ms (13.2%)

simplify114.0ms (5.5%)

prune132.0ms (6.4%)

regimes83.0ms (4%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample799.0ms (38.8%)

Profiling