Details

analyze174.0ms (14.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	418	20
1	418	20
0	2	2
1	2	2

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)

sample11.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify18.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	256	10
1	256	10

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (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)

rewrite19.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_8284` `*-un-lft-identity_binary64_8262`
5×	`add-cube-cbrt_binary64_8297`
4×	`pow1_binary64_8323` `add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `associate-l_binary64_8203` `add-log-exp_binary64_8301`
3×	`associate-r_binary64_8202` `cancel-sign-sub-inv_binary64_8228`
2×	`associate-*l/_binary64_8205`
1×	`flip-+_binary64_8236` `flip3-+_binary64_8265` `prod-exp_binary64_8311` `flip3--_binary64_8266` `distribute-lft-out_binary64_8213` `diff-log_binary64_8354` `unswap-sqr_binary64_8230` `sub-neg_binary64_8255` `cbrt-unprod_binary64_8295` `pow-prod-down_binary64_8333` `flip--_binary64_8237` `*-commutative_binary64_8193`

Counts

2 → 35

Calls

2 calls:

11.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
6.0ms	(*.f64 (+.f64 x 1) y)

series34.0ms (2.9%)

Counts

2 → 6

Calls

2 calls:

19.0ms	(*.f64 (+.f64 x 1) y)
16.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify54.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4971	449
1	4971	449

prune30.0ms (2.5%)

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

Error

Counts

42 → 2

Compiler

Compiled 487 to 311 computations (36.1% saved)

localize11.0ms (1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
4.9b	(.f64 y (-.f64 (.f64 x x) 1))
8.8b	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

rewrite39.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_8284`
19×	`*-un-lft-identity_binary64_8262`
10×	`add-exp-log_binary64_8300` `add-cbrt-cube_binary64_8298` `add-cube-cbrt_binary64_8297`
9×	`cancel-sign-sub-inv_binary64_8228`
7×	`times-frac_binary64_8268` `associate-/r*_binary64_8206` `difference-of-squares_binary64_8231`
6×	`associate-r_binary64_8202`
5×	`pow1_binary64_8323` `add-log-exp_binary64_8301`
4×	`distribute-rgt-in_binary64_8212` `associate-*r/_binary64_8204` `flip3--_binary64_8266` `distribute-lft-in_binary64_8211` `flip--_binary64_8237`
3×	`difference-of-sqr-1_binary64_8232` `sub-neg_binary64_8255` `distribute-lft-out--_binary64_8214` `associate-l_binary64_8203`
2×	`prod-exp_binary64_8311` `associate-/l/_binary64_8209` `cbrt-unprod_binary64_8295` `cbrt-undiv_binary64_8296` `div-exp_binary64_8313` `associate-/r/_binary64_8208`
1×	`associate-/l_binary64_8207` `frac-2neg_binary64_8273` `div-inv_binary64_8259` `diff-log_binary64_8354` `unswap-sqr_binary64_8230` `pow-prod-down_binary64_8333` `-commutative_binary64_8193` `clear-num_binary64_8261`

Counts

3 → 80

Calls

3 calls:

14.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
11.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
8.0ms	(.f64 y (-.f64 (.f64 x x) 1))

series151.0ms (12.7%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
45.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
43.0ms	(.f64 y (-.f64 (.f64 x x) 1))

simplify61.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4988	1220
1	4988	1220

prune71.0ms (5.9%)

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

Error

Counts

91 → 2

Compiler

Compiled 1433 to 852 computations (40.5% saved)

regimes49.0ms (4.2%)

Accuracy

Total 0.0b remaining (62.1%)

Threshold costs 0.0b (62.1%)

Compiler

Compiled 285 to 236 computations (17.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample455.0ms (38.3%)

Algorithm

1×

intervals

Results

180.0ms	7998×	body	128	valid
2.0ms	85×	body	128	invalid
0.0ms	2×	body	1024	valid

Compiler

Compiled 104 to 87 computations (16.3% saved)

Details

analyze174.0ms (14.7%)

sample11.0ms (1%)

simplify18.0ms (1.5%)

prune2.0ms (0.2%)

localize4.0ms (0.4%)

rewrite19.0ms (1.6%)

series34.0ms (2.9%)

simplify54.0ms (4.5%)

prune30.0ms (2.5%)

localize11.0ms (1%)

rewrite39.0ms (3.3%)

series151.0ms (12.7%)

simplify61.0ms (5.2%)

prune71.0ms (5.9%)

regimes49.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample455.0ms (38.3%)

Profiling