Details

analyze207.0ms (8.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	782	20
1	782	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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify69.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune2.0ms (0.1%)

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 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_25653`
22×	`add-sqr-sqrt_binary64_25675`
20×	`times-frac_binary64_25659`
12×	`add-cube-cbrt_binary64_25688`
6×	`distribute-lft-out_binary64_25604`
5×	`associate-/l*_binary64_25598` `difference-of-squares_binary64_25622` `distribute-lft-out--_binary64_25605`
4×	`associate-/r*_binary64_25597`
3×	`add-cbrt-cube_binary64_25689` `add-exp-log_binary64_25691`
2×	`associate-/r/_binary64_25599` `associate-/l/_binary64_25600`
1×	`flip-+_binary64_25627` `cbrt-undiv_binary64_25687` `flip3-+_binary64_25656` `flip3--_binary64_25657` `div-sub_binary64_25658` `frac-2neg_binary64_25664` `flip--_binary64_25628` `pow1_binary64_25714` `div-inv_binary64_25650` `div-exp_binary64_25704` `add-log-exp_binary64_25692` `clear-num_binary64_25652`

Counts

1 → 46

Calls

1 calls:

8.0ms

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

series40.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify50.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5176	810

prune38.0ms (1.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	43	6	49
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	6	50

Error

0.0b

Counts

50 → 6

Compiler

Compiled 762 to 183 computations (76% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 x y))
0.0b	(/.f64 x (+.f64 x y))
0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

rewrite47.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`*-un-lft-identity_binary64_25653`
52×	`times-frac_binary64_25659`
43×	`add-sqr-sqrt_binary64_25675`
31×	`add-cube-cbrt_binary64_25688`
18×	`cancel-sign-sub-inv_binary64_25619`
15×	`distribute-lft-out_binary64_25604`
10×	`associate-/r/_binary64_25599`
8×	`associate-/r*_binary64_25597`
7×	`add-cbrt-cube_binary64_25689` `distribute-lft-out--_binary64_25605` `add-exp-log_binary64_25691`
6×	`associate-/l*_binary64_25598`
5×	`flip-+_binary64_25627` `flip3-+_binary64_25656` `div-inv_binary64_25650` `add-log-exp_binary64_25692`
4×	`difference-of-squares_binary64_25622`
3×	`distribute-rgt-out--_binary64_25607` `pow1_binary64_25714`
2×	`cbrt-undiv_binary64_25687` `frac-2neg_binary64_25664` `div-exp_binary64_25704` `clear-num_binary64_25652`
1×	`diff-log_binary64_25745` `sub-div_binary64_25660` `flip3--_binary64_25657` `frac-sub_binary64_25662` `sub-neg_binary64_25646` `flip--_binary64_25628`

Counts

3 → 111

Calls

3 calls:

28.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
5.0ms	(/.f64 x (+.f64 x y))
5.0ms	(/.f64 y (+.f64 x y))

series105.0ms (4.5%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
28.0ms	(/.f64 y (+.f64 x y))
26.0ms	(/.f64 x (+.f64 x y))

simplify94.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4921	1617
1	4921	1617

prune73.0ms (3.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	117	3	120
Fresh	5	0	5
Picked	0	1	1
Done	0	0	0
Total	122	4	126

Error

Counts

126 → 4

Compiler

Compiled 1941 to 362 computations (81.3% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 x (+.f64 x y)))
0.0b	(/.f64 x (+.f64 x y))
0.0b	(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (/.f64 y (+.f64 x y)))
3.4b	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))

rewrite65.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

68×	`*-un-lft-identity_binary64_25653`
49×	`times-frac_binary64_25659`
44×	`add-sqr-sqrt_binary64_25675`
39×	`add-cube-cbrt_binary64_25688`
36×	`exp-prod_binary64_25705`
20×	`log-pow_binary64_25742`
18×	`cancel-sign-sub-inv_binary64_25619`
13×	`distribute-lft-out_binary64_25604`
8×	`associate-/r/_binary64_25599`
6×	`add-cbrt-cube_binary64_25689` `pow1_binary64_25714` `add-log-exp_binary64_25692` `add-exp-log_binary64_25691` `log-prod_binary64_25739`
4×	`associate-/r*_binary64_25597` `flip-+_binary64_25627` `flip3-+_binary64_25656` `div-inv_binary64_25650`
3×	`associate-/l*_binary64_25598` `associate--l+_binary64_25590`
2×	`difference-of-squares_binary64_25622` `distribute-lft-out--_binary64_25605`
1×	`cbrt-undiv_binary64_25687` `diff-log_binary64_25745` `flip3--_binary64_25657` `frac-2neg_binary64_25664` `sub-neg_binary64_25646` `flip--_binary64_25628` `rem-exp-log_binary64_25693` `rem-log-exp_binary64_25694` `div-exp_binary64_25704` `clear-num_binary64_25652`

Counts

4 → 125

Calls

4 calls:

35.0ms	(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (/.f64 y (+.f64 x y)))
7.0ms	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
6.0ms	(exp.f64 (/.f64 x (+.f64 x y)))
5.0ms	(/.f64 x (+.f64 x y))

series180.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

74.0ms	(-.f64 (log.f64 (exp.f64 (/.f64 x (+.f64 x y)))) (/.f64 y (+.f64 x y)))
40.0ms	(log.f64 (exp.f64 (/.f64 x (+.f64 x y))))
39.0ms	(exp.f64 (/.f64 x (+.f64 x y)))
27.0ms	(/.f64 x (+.f64 x y))

simplify76.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5998	1627

prune86.0ms (3.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	137	4	141

Error

Counts

141 → 4

Compiler

Compiled 2419 to 451 computations (81.4% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (+.f64 x y))
0.0b	(/.f64 (+.f64 x y) x)
0.0b	(-.f64 (/.f64 1 (/.f64 (+.f64 x y) x)) (/.f64 y (+.f64 x y)))
0.5b	(/.f64 1 (/.f64 (+.f64 x y) x))

rewrite97.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

153×	`times-frac_binary64_25659`
141×	`*-un-lft-identity_binary64_25653`
112×	`add-sqr-sqrt_binary64_25675`
79×	`add-cube-cbrt_binary64_25688`
24×	`distribute-lft-out_binary64_25604`
23×	`associate-/r*_binary64_25597`
19×	`add-exp-log_binary64_25691`
18×	`cancel-sign-sub-inv_binary64_25619`
13×	`add-cbrt-cube_binary64_25689`
10×	`associate-/l*_binary64_25598` `difference-of-squares_binary64_25622`
9×	`div-inv_binary64_25650` `div-exp_binary64_25704`
6×	`add-log-exp_binary64_25692`
5×	`cbrt-undiv_binary64_25687` `associate-/r/_binary64_25599` `pow1_binary64_25714`
4×	`distribute-lft-out--_binary64_25605`
3×	`flip-+_binary64_25627` `flip3-+_binary64_25656` `frac-2neg_binary64_25664` `clear-num_binary64_25652`
2×	`rec-exp_binary64_25703` `associate-/l/_binary64_25600` `1-exp_binary64_25697`
1×	`diff-log_binary64_25745` `flip3--_binary64_25657` `frac-sub_binary64_25662` `sub-neg_binary64_25646` `flip--_binary64_25628` `pow-flip_binary64_25727` `inv-pow_binary64_25738`

Counts

4 → 198

Calls

4 calls:

53.0ms	(-.f64 (/.f64 1 (/.f64 (+.f64 x y) x)) (/.f64 y (+.f64 x y)))
11.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
5.0ms	(/.f64 (+.f64 x y) x)
5.0ms	(/.f64 y (+.f64 x y))

series125.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(-.f64 (/.f64 1 (/.f64 (+.f64 x y) x)) (/.f64 y (+.f64 x y)))
28.0ms	(/.f64 1 (/.f64 (+.f64 x y) x))
25.0ms	(/.f64 y (+.f64 x y))
15.0ms	(/.f64 (+.f64 x y) x)

simplify98.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5032	3371

prune140.0ms (6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	210	4	214

Error

Counts

214 → 4

Compiler

Compiled 3937 to 1003 computations (74.5% saved)

regimes91.0ms (3.9%)

Accuracy

Total 0.0b remaining (90.2%)

Threshold costs 0.0b (90.2%)

Compiler

Compiled 849 to 489 computations (42.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	20
1	27	20

end0.0ms (0%)

sample584.0ms (25.2%)

Algorithm

1×

intervals

Results

188.0ms

8000×

body

128

valid

Compiler

Compiled 295 to 167 computations (43.4% saved)

Details

analyze207.0ms (8.9%)

sample12.0ms (0.5%)

simplify69.0ms (3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite12.0ms (0.5%)

series40.0ms (1.7%)

simplify50.0ms (2.2%)

prune38.0ms (1.6%)

localize6.0ms (0.3%)

rewrite47.0ms (2%)

series105.0ms (4.5%)

simplify94.0ms (4.1%)

prune73.0ms (3.2%)

localize9.0ms (0.4%)

rewrite65.0ms (2.8%)

series180.0ms (7.8%)

simplify76.0ms (3.3%)

prune86.0ms (3.7%)

localize7.0ms (0.3%)

rewrite97.0ms (4.2%)

series125.0ms (5.4%)

simplify98.0ms (4.2%)

prune140.0ms (6%)

regimes91.0ms (3.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample584.0ms (25.2%)

Profiling