Details

analyze718.0ms (3.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5019	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)

sample554.0ms (2.8%)

Algorithm

1×

intervals

Results

6.0ms	183×	body	128	valid
5.0ms	48×	body	128	invalid
3.0ms	19×	body	2048	valid
3.0ms	26×	body	1024	valid
2.0ms	20×	body	512	valid
1.0ms	13×	body	512	invalid
1.0ms	7×	body	1024	invalid
0.0ms	8×	body	256	valid
0.0ms	6×	body	256	invalid

Compiler

Compiled 5311 to 4312 computations (18.8% saved)

simplify240.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (233.0ms)

Iter	Nodes	Cost
0	6666	7

prune4.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 25 to 19 computations (24% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

9×	`add-sqr-sqrt_binary64_11694`
7×	`*-un-lft-identity_binary64_11672`
6×	`cancel-sign-sub-inv_binary64_11638`
5×	`add-cube-cbrt_binary64_11707` `associate-r_binary64_11612`
4×	`distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621`
3×	`pow1_binary64_11733` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `associate-l_binary64_11613`
2×	`sub-neg_binary64_11665` `associate-*r/_binary64_11614`
1×	`pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `add-log-exp_binary64_11711` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `flip3--_binary64_11676` `flip--_binary64_11647` `difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624` `*-commutative_binary64_11603`

Counts

1 → 30

Calls

1 calls:

7.0ms

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

Compiler

Compiled 338 to 111 computations (67.2% saved)

series146.0ms (0.7%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

138.0ms

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

Compiler

Compiled 219 to 146 computations (33.3% saved)

simplify45.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5688	386

prune30.0ms (0.2%)

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

0.0b

Counts

47 → 3

Compiler

Compiled 374 to 87 computations (76.7% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

5×	`add-log-exp_binary64_11711`
2×	`sum-log_binary64_11763`
1×	`neg-log_binary64_11765` `pow1_binary64_11733` `add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708` `add-cube-cbrt_binary64_11707` `add-sqr-sqrt_binary64_11694` `flip3-+_binary64_11675` `*-un-lft-identity_binary64_11672` `unsub-neg_binary64_11666` `flip-+_binary64_11646` `distribute-lft-neg-in_binary64_11629` `distribute-rgt-out_binary64_11625` `neg-sub0_binary64_11667` `associate-+r-_binary64_11606` `+-commutative_binary64_11602`

Counts

1 → 15

Calls

1 calls:

4.0ms

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

Compiler

Compiled 233 to 54 computations (76.8% saved)

series163.0ms (0.8%)

Error

0.0b

Counts

1 → 15

Calls

1 calls:

156.0ms

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

Compiler

Compiled 225 to 154 computations (31.6% saved)

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5032	255

prune16.0ms (0.1%)

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

0.0b

Counts

33 → 3

Compiler

Compiled 239 to 57 computations (76.2% saved)

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

3.2b	(-.f64 (.f64 x x) (.f64 z z))
11.0b	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
19.0b	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))

rewrite82.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`*-un-lft-identity_binary64_11672`
10×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
9×	`add-sqr-sqrt_binary64_11694`
7×	`add-cube-cbrt_binary64_11707`
5×	`pow1_binary64_11733` `add-log-exp_binary64_11711`
4×	`times-frac_binary64_11678` `associate-r/_binary64_11614` `associate-/r_binary64_11616` `associate-r_binary64_11612`
3×	`flip3--_binary64_11676` `flip--_binary64_11647` `sub-neg_binary64_11665` `cancel-sign-sub-inv_binary64_11638` `associate-l_binary64_11613`
2×	`prod-exp_binary64_11721` `div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `cbrt-unprod_binary64_11705` `distribute-lft-out_binary64_11623` `associate-/l/_binary64_11619` `associate-/r/_binary64_11618` `distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621` `difference-of-squares_binary64_11641`
1×	`frac-2neg_binary64_11683` `clear-num_binary64_11671` `div-inv_binary64_11669` `flip3-+_binary64_11675` `flip-+_binary64_11646` `associate-/l_binary64_11617` `pow-prod-down_binary64_11743` `unswap-sqr_binary64_11640` `-commutative_binary64_11603` `diff-log_binary64_11764`

Counts

3 → 65

Calls

3 calls:

10.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
7.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
4.0ms	(-.f64 (.f64 x x) (.f64 z z))

Compiler

Compiled 1417 to 252 computations (82.2% saved)

series791.0ms (4.1%)

Error

0.0b

Counts

3 → 42

Calls

3 calls:

361.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) (*.f64 z z))) (+.f64 x z))
266.0ms	(.f64 y (-.f64 (.f64 x x) (*.f64 z z)))
135.0ms	(-.f64 (.f64 x x) (.f64 z z))

Compiler

Compiled 1152 to 823 computations (28.6% saved)

simplify58.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5128	1317

prune70.0ms (0.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	4	110

Error

Counts

110 → 4

Compiler

Compiled 1492 to 247 computations (83.4% saved)

localize5.0ms (0%)

Local error

Found 2 expressions with local error:

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

rewrite163.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

138×	`times-frac_binary64_11678`
102×	`add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
70×	`add-cube-cbrt_binary64_11707`
26×	`associate-/r*_binary64_11616`
16×	`difference-of-squares_binary64_11641` `distribute-lft-out--_binary64_11624`
15×	`add-exp-log_binary64_11710`
11×	`associate-/r/_binary64_11618`
9×	`add-cbrt-cube_binary64_11708`
8×	`div-exp_binary64_11723`
6×	`div-inv_binary64_11669` `associate-/l*_binary64_11617`
5×	`flip3--_binary64_11676` `flip--_binary64_11647`
4×	`cbrt-undiv_binary64_11706`
3×	`pow1_binary64_11733`
2×	`1-exp_binary64_11716` `rec-exp_binary64_11722` `add-log-exp_binary64_11711` `frac-2neg_binary64_11683` `clear-num_binary64_11671`
1×	`inv-pow_binary64_11757` `pow-flip_binary64_11746`

Counts

2 → 145

Calls

2 calls:

9.0ms	(/.f64 y (/.f64 1 (-.f64 x z)))
5.0ms	(/.f64 1 (-.f64 x z))

Compiler

Compiled 2507 to 1207 computations (51.9% saved)

series272.0ms (1.4%)

Error

Counts

2 → 36

Calls

2 calls:

141.0ms	(/.f64 y (/.f64 1 (-.f64 x z)))
107.0ms	(/.f64 1 (-.f64 x z))

Compiler

Compiled 897 to 680 computations (24.2% saved)

simplify87.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5892	2922

prune128.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	181	4	185

Error

Counts

185 → 4

Compiler

Compiled 2410 to 863 computations (64.2% saved)

regimes105.0ms (0.5%)

Accuracy

Total 0.0b remaining (85.6%)

Threshold costs 0.0b (85.6%)

Compiler

Compiled 708 to 528 computations (25.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample15.7s (80.5%)

Algorithm

1×

intervals

Results

199.0ms	5844×	body	128	valid
99.0ms	826×	body	1024	valid
75.0ms	491×	body	2048	valid
74.0ms	1391×	body	128	invalid
53.0ms	561×	body	512	valid
31.0ms	276×	body	512	invalid
26.0ms	174×	body	1024	invalid
19.0ms	278×	body	256	valid
16.0ms	205×	body	256	invalid

Compiler

Compiled 160932 to 130745 computations (18.8% saved)

Details

analyze718.0ms (3.7%)

sample554.0ms (2.8%)

simplify240.0ms (1.2%)

prune4.0ms (0%)

localize4.0ms (0%)

rewrite29.0ms (0.2%)

series146.0ms (0.7%)

simplify45.0ms (0.2%)

prune30.0ms (0.2%)

localize6.0ms (0%)

rewrite18.0ms (0.1%)

series163.0ms (0.8%)

simplify58.0ms (0.3%)

prune16.0ms (0.1%)

localize8.0ms (0%)

rewrite82.0ms (0.4%)

series791.0ms (4.1%)

simplify58.0ms (0.3%)

prune70.0ms (0.4%)

localize5.0ms (0%)

rewrite163.0ms (0.8%)

series272.0ms (1.4%)

simplify87.0ms (0.4%)

prune128.0ms (0.7%)

regimes105.0ms (0.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample15.7s (80.5%)

Profiling