Details

analyze627.0ms (12.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3819	52
1	3819	52
0	3	3
1	3	3

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
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify189.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	13

prune2.0ms (0%)

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

9.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

9.2b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_13399`
53×	`*-un-lft-identity_binary64_13377`
42×	`times-frac_binary64_13383`
20×	`difference-of-squares_binary64_13346`
15×	`add-cube-cbrt_binary64_13412`
9×	`distribute-lft-out_binary64_13328`
8×	`associate-/r*_binary64_13321`
5×	`distribute-lft-out--_binary64_13329`
4×	`associate-/l*_binary64_13322`
3×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
2×	`associate-/l/_binary64_13324` `associate-/r/_binary64_13323`
1×	`div-inv_binary64_13374` `clear-num_binary64_13376` `pow1_binary64_13438` `flip3--_binary64_13381` `div-exp_binary64_13428` `flip--_binary64_13352` `add-log-exp_binary64_13416` `cbrt-undiv_binary64_13411` `frac-2neg_binary64_13388` `flip-+_binary64_13351` `flip3-+_binary64_13380`

Counts

1 → 60

Calls

1 calls:

13.0ms

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

series45.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4947	1444
1	4947	1444

prune72.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	8	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Error

6.6b

Counts

64 → 9

Compiler

Compiled 1300 to 556 computations (57.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (-.f64 1 (/.f64 y z)))
9.0b	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite42.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`add-sqr-sqrt_binary64_13399`
64×	`times-frac_binary64_13383`
59×	`*-un-lft-identity_binary64_13377`
30×	`associate-r_binary64_13317`
28×	`add-cube-cbrt_binary64_13412` `difference-of-squares_binary64_13346`
15×	`add-exp-log_binary64_13415`
9×	`add-cbrt-cube_binary64_13413`
8×	`associate-/r*_binary64_13321`
7×	`distribute-lft-out--_binary64_13329`
5×	`pow1_binary64_13438`
4×	`prod-exp_binary64_13426` `div-exp_binary64_13428` `associate-l_binary64_13318` `associate-/r/_binary64_13323`
3×	`unswap-sqr_binary64_13345` `associate-/l*_binary64_13322`
2×	`div-inv_binary64_13374` `associate-*l/_binary64_13320` `cbrt-unprod_binary64_13410` `rec-exp_binary64_13427` `1-exp_binary64_13421` `frac-times_binary64_13387` `flip3--_binary64_13381` `flip--_binary64_13352` `add-log-exp_binary64_13416` `cbrt-undiv_binary64_13411` `flip-+_binary64_13351` `flip3-+_binary64_13380`
1×	`clear-num_binary64_13376` `pow-flip_binary64_13451` `inv-pow_binary64_13462` `un-div-inv_binary64_13375` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `distribute-lft-out_binary64_13328` `associate-r/_binary64_13319` `frac-2neg_binary64_13388`

Counts

2 → 111

Calls

2 calls:

22.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
10.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))

series74.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

49.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
25.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))

simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5510	1948

prune108.0ms (2.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	117	9	126

Error

6.6b

Counts

126 → 9

Compiler

Compiled 2229 to 1153 computations (48.3% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
9.3b	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

rewrite68.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

316×	`times-frac_binary64_13383`
275×	`add-sqr-sqrt_binary64_13399`
273×	`*-un-lft-identity_binary64_13377`
107×	`add-cube-cbrt_binary64_13412`
84×	`difference-of-squares_binary64_13346`
42×	`associate-/r*_binary64_13321`
41×	`distribute-lft-out_binary64_13328`
21×	`distribute-lft-out--_binary64_13329`
15×	`add-exp-log_binary64_13415`
11×	`associate-/r/_binary64_13323` `associate-/l*_binary64_13322`
9×	`add-cbrt-cube_binary64_13413`
8×	`div-exp_binary64_13428`
6×	`div-inv_binary64_13374`
5×	`flip-+_binary64_13351` `flip3-+_binary64_13380`
4×	`cbrt-undiv_binary64_13411`
3×	`pow1_binary64_13438`
2×	`associate-/l/_binary64_13324` `clear-num_binary64_13376` `rec-exp_binary64_13427` `1-exp_binary64_13421` `add-log-exp_binary64_13416` `frac-2neg_binary64_13388`
1×	`pow-flip_binary64_13451` `inv-pow_binary64_13462` `div-sub_binary64_13382` `flip3--_binary64_13381` `flip--_binary64_13352`

Counts

2 → 237

Calls

2 calls:

20.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
14.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

series114.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

77.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y)))
37.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 x y))

simplify117.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5361	6453

prune242.0ms (4.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	239	4	243
Fresh	4	2	6
Picked	1	0	1
Done	0	2	2
Total	244	8	252

Error

6.6b

Counts

252 → 8

Compiler

Compiled 5277 to 2338 computations (55.7% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x y))
0.2b	(/.f64 1 (-.f64 1 (/.f64 y z)))
9.1b	(/.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (/.f64 1 (+.f64 x y)))

rewrite184.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

1526×	`times-frac_binary64_13383`
989×	`add-sqr-sqrt_binary64_13399`
939×	`*-un-lft-identity_binary64_13377`
501×	`add-cube-cbrt_binary64_13412`
244×	`difference-of-squares_binary64_13346`
105×	`associate-/r/_binary64_13323`
97×	`distribute-lft-out_binary64_13328`
61×	`distribute-lft-out--_binary64_13329`
53×	`div-inv_binary64_13374`
51×	`add-exp-log_binary64_13415`
36×	`div-exp_binary64_13428` `associate-/l*_binary64_13322`
32×	`flip-+_binary64_13351` `flip3-+_binary64_13380`
30×	`associate-/r*_binary64_13321`
20×	`flip3--_binary64_13381` `flip--_binary64_13352`
19×	`add-cbrt-cube_binary64_13413`
10×	`rec-exp_binary64_13427` `1-exp_binary64_13421` `cbrt-undiv_binary64_13411`
5×	`pow1_binary64_13438`
3×	`clear-num_binary64_13376` `add-log-exp_binary64_13416` `frac-2neg_binary64_13388`
2×	`pow-flip_binary64_13451` `inv-pow_binary64_13462`
1×	`associate-/l/_binary64_13324`

Counts

3 → 710

Calls

3 calls:

37.0ms	(/.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (/.f64 1 (+.f64 x y)))
10.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
6.0ms	(/.f64 1 (+.f64 x y))

series120.0ms (2.4%)

Counts

3 → 9

Calls

3 calls:

77.0ms	(/.f64 (/.f64 1 (-.f64 1 (/.f64 y z))) (/.f64 1 (+.f64 x y)))
24.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))
19.0ms	(/.f64 1 (+.f64 x y))

simplify263.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

719 → 719

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5046	24428

prune1.1s (21.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	719	0	719
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	719	8	727

Error

6.6b

Counts

727 → 8

Compiler

Compiled 17854 to 8896 computations (50.2% saved)

regimes309.0ms (6.2%)

Accuracy

Total 1.6b remaining (22.2%)

Threshold costs 0b (0%)

Compiler

Compiled 2952 to 2088 computations (29.3% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	84
1	61	84

end0.0ms (0%)

sample1.1s (22.1%)

Algorithm

1×

intervals

Results

256.0ms	7998×	body	128	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 804 to 555 computations (31% saved)

Details

analyze627.0ms (12.5%)

sample18.0ms (0.4%)

simplify189.0ms (3.8%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite19.0ms (0.4%)

series45.0ms (0.9%)

simplify88.0ms (1.8%)

prune72.0ms (1.4%)

localize7.0ms (0.1%)

rewrite42.0ms (0.8%)

series74.0ms (1.5%)

simplify70.0ms (1.4%)

prune108.0ms (2.2%)

localize8.0ms (0.2%)

rewrite68.0ms (1.4%)

series114.0ms (2.3%)

simplify117.0ms (2.3%)

prune242.0ms (4.8%)

localize9.0ms (0.2%)

rewrite184.0ms (3.7%)

series120.0ms (2.4%)

simplify263.0ms (5.3%)

prune1.1s (21.7%)

regimes309.0ms (6.2%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (22.1%)

Profiling