Details

analyze960.0ms (29.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4969	28
1	4969	28
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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample31.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	183×	body	128	valid
4.0ms	29×	body	1024	valid
2.0ms	24×	body	512	valid
2.0ms	10×	body	2048	valid
1.0ms	34×	body	128	invalid
1.0ms	11×	body	512	invalid
1.0ms	10×	body	256	valid
1.0ms	4×	body	1024	invalid
0.0ms	7×	body	256	invalid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify194.0ms (6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	5795	7

prune4.0ms (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 → 2

Compiler

Compiled 25 to 19 computations (24% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite27.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-sqr-sqrt_binary64_13399`
7×	`*-un-lft-identity_binary64_13377`
6×	`cancel-sign-sub-inv_binary64_13343`
5×	`add-cube-cbrt_binary64_13412` `associate-r_binary64_13317`
4×	`distribute-rgt-in_binary64_13327` `distribute-lft-in_binary64_13326`
3×	`pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413` `associate-l_binary64_13318`
2×	`sub-neg_binary64_13370` `associate-*r/_binary64_13319`
1×	`pow-prod-down_binary64_13448` `prod-exp_binary64_13426` `add-log-exp_binary64_13416` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `flip3--_binary64_13381` `flip--_binary64_13352` `difference-of-squares_binary64_13346` `distribute-lft-out--_binary64_13329` `*-commutative_binary64_13308`

Counts

1 → 30

Calls

1 calls:

7.0ms

(*.f64 y (-.f64 x z))

Compiler

Compiled 338 to 111 computations (67.2% saved)

series106.0ms (3.3%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

99.0ms

(*.f64 y (-.f64 x z))

Compiler

Compiled 219 to 146 computations (33.3% saved)

simplify48.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5688	386

prune25.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	44	3	47

Error

Counts

47 → 3

Compiler

Compiled 370 to 85 computations (77% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 x y) (neg.f64 (.f64 z y)))

rewrite16.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-log-exp_binary64_13416`
2×	`sum-log_binary64_13468`
1×	`neg-log_binary64_13470` `pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413` `add-cube-cbrt_binary64_13412` `add-sqr-sqrt_binary64_13399` `flip3-+_binary64_13380` `*-un-lft-identity_binary64_13377` `unsub-neg_binary64_13371` `flip-+_binary64_13351` `distribute-lft-neg-in_binary64_13334` `distribute-rgt-out_binary64_13330` `neg-sub0_binary64_13372` `associate-+r-_binary64_13311` `+-commutative_binary64_13307`

Counts

1 → 15

Calls

1 calls:

5.0ms

(+.f64 (*.f64 x y) (neg.f64 (*.f64 z y)))

Compiler

Compiled 233 to 54 computations (76.8% saved)

series116.0ms (3.6%)

Error

Counts

1 → 15

Calls

1 calls:

109.0ms

(+.f64 (*.f64 x y) (neg.f64 (*.f64 z y)))

Compiler

Compiled 225 to 154 computations (31.6% saved)

simplify61.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5032	255

prune15.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	30	3	33

Error

Counts

33 → 3

Compiler

Compiled 235 to 55 computations (76.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x z) (sqrt.f64 y))
0.1b	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

rewrite54.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`add-sqr-sqrt_binary64_13399`
11×	`associate-l_binary64_13318`
9×	`pow1_binary64_13438` `add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413` `*-un-lft-identity_binary64_13377`
7×	`add-cube-cbrt_binary64_13412` `sqrt-prod_binary64_13393` `associate-r_binary64_13317`
4×	`pow-prod-down_binary64_13448` `prod-exp_binary64_13426` `cbrt-unprod_binary64_13410` `associate-*l/_binary64_13320`
2×	`add-log-exp_binary64_13416` `flip3--_binary64_13381` `associate-r/_binary64_13319` `flip--_binary64_13352` `-commutative_binary64_13308` `unswap-sqr_binary64_13345`
1×	`difference-of-squares_binary64_13346` `distribute-lft-out--_binary64_13329`

Counts

2 → 49

Calls

2 calls:

10.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))
9.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))

Compiler

Compiled 790 to 166 computations (79% saved)

series218.0ms (6.8%)

Error

Counts

2 → 30

Calls

2 calls:

111.0ms	(*.f64 (-.f64 x z) (sqrt.f64 y))
94.0ms	(.f64 (sqrt.f64 y) (.f64 (-.f64 x z) (sqrt.f64 y)))

Compiler

Compiled 711 to 423 computations (40.5% saved)

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5279	777

prune39.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	79	3	82

Error

Counts

82 → 3

Compiler

Compiled 821 to 163 computations (80.1% saved)

regimes82.0ms (2.5%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Compiler

Compiled 448 to 372 computations (17% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample1.1s (35.2%)

Algorithm

1×

intervals

Results

219.0ms	5712×	body	128	valid
116.0ms	887×	body	1024	valid
77.0ms	473×	body	2048	valid
56.0ms	578×	body	512	valid
49.0ms	1335×	body	128	invalid
29.0ms	295×	body	512	invalid
26.0ms	210×	body	1024	invalid
26.0ms	350×	body	256	valid
14.0ms	211×	body	256	invalid

Compiler

Compiled 129 to 107 computations (17.1% saved)

Details

analyze960.0ms (29.9%)

sample31.0ms (1%)

simplify194.0ms (6%)

prune4.0ms (0.1%)

localize4.0ms (0.1%)

rewrite27.0ms (0.8%)

series106.0ms (3.3%)

simplify48.0ms (1.5%)

prune25.0ms (0.8%)

localize5.0ms (0.2%)

rewrite16.0ms (0.5%)

series116.0ms (3.6%)

simplify61.0ms (1.9%)

prune15.0ms (0.5%)

localize6.0ms (0.2%)

rewrite54.0ms (1.7%)

series218.0ms (6.8%)

simplify65.0ms (2%)

prune39.0ms (1.2%)

regimes82.0ms (2.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (35.2%)

Profiling