Details

analyze344.0ms (7.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5790	44
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	18.7%	81.3%	0
0%	18.7%	81.3%	1
0%	18.7%	81.3%	2
0%	18.7%	81.3%	3
0%	18.7%	81.3%	4
4.7%	14%	81.3%	5
5.3%	13.5%	81.3%	6
18.1%	0.6%	81.3%	7
18.1%	0.6%	81.3%	8
18.6%	0.1%	81.3%	9
18.6%	0.1%	81.3%	10
18.7%	0%	81.3%	11
18.7%	0%	81.3%	12
18.7%	0%	81.3%	13
18.7%	0%	81.3%	14

Compiler

Compiled 23 to 15 computations (34.8% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 38 to 26 computations (31.6% saved)

simplify185.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (179.0ms)

Iter	Nodes	Cost
0	4979	22
1	4979	22

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

19.6b

Counts

2 → 1

Compiler

Compiled 30 to 18 computations (40% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
19.3b	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))

rewrite57.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

19.3b

Rules

8×	`associate-/l/_binary64_2412`
7×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
5×	`flip3-+_binary64_2468` `flip-+_binary64_2439`
4×	`add-log-exp_binary64_2504` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465` `frac-times_binary64_2475`
3×	`times-frac_binary64_2471` `flip3--_binary64_2469` `flip--_binary64_2440` `associate-/r*_binary64_2409`
2×	`pow1_binary64_2526` `div-exp_binary64_2516` `cbrt-undiv_binary64_2499` `associate-l/_binary64_2408` `associate-r/_binary64_2407` `associate-/r/_binary64_2411`
1×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l*_binary64_2410` `sum-log_binary64_2556` `+-commutative_binary64_2395`

Counts

2 → 42

Calls

2 calls:

12.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1154 to 190 computations (83.5% saved)

series250.0ms (5.2%)

Error

0.2b

Counts

2 → 27

Calls

2 calls:

152.0ms	(/.f64 (.f64 (-.f64 x y) (+.f64 x y)) (+.f64 (.f64 x x) (*.f64 y y)))
80.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 828 to 629 computations (24% saved)

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5516	1206

prune48.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	64	5	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	5	70

Error

0.2b

Counts

70 → 5

Compiler

Compiled 1311 to 285 computations (78.3% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.2b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Error

0.2b

Counts

5 → 5

Compiler

Compiled 42 to 36 computations (14.3% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 2 (/.f64 (.f64 x x) (*.f64 y y)))
19.2b	(/.f64 (.f64 x x) (.f64 y y))

rewrite53.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

32×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
13×	`prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
8×	`div-exp_binary64_2516` `cbrt-undiv_binary64_2499`
7×	`add-sqr-sqrt_binary64_2487`
5×	`associate-r_binary64_2405`
4×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500` `*-un-lft-identity_binary64_2465`
3×	`times-frac_binary64_2471` `associate-l_binary64_2406`
2×	`add-log-exp_binary64_2504` `div-inv_binary64_2462` `unswap-sqr_binary64_2433`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `associate-/l_binary64_2410` `associate-/r_binary64_2409` `pow-prod-down_binary64_2536` `associate-r/_binary64_2407` `-commutative_binary64_2396`

Counts

2 → 51

Calls

2 calls:

8.0ms	(.f64 2 (/.f64 (.f64 x x) (*.f64 y y)))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 963 to 368 computations (61.8% saved)

series196.0ms (4.1%)

Error

0.2b

Counts

2 → 12

Calls

2 calls:

102.0ms	(.f64 2 (/.f64 (.f64 x x) (*.f64 y y)))
86.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 396 to 374 computations (5.6% saved)

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4977	723
1	4977	723

prune46.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	63	0	63
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	63	5	68

Error

0.2b

Counts

68 → 5

Compiler

Compiled 845 to 435 computations (48.5% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (-.f64 (/.f64 (.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
4.5b	(-.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
19.2b	(/.f64 (.f64 x x) (.f64 y y))
22.3b	(/.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite788.0ms (16.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

253×	`times-frac_binary64_2471`
199×	`add-sqr-sqrt_binary64_2487`
198×	`unpow-prod-down_binary64_2544`
159×	`cancel-sign-sub-inv_binary64_2431`
129×	`*-un-lft-identity_binary64_2465`
125×	`add-cube-cbrt_binary64_2500`
82×	`sqr-pow_binary64_2437`
54×	`distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414`
40×	`difference-of-squares_binary64_2434`
30×	`add-exp-log_binary64_2503`
24×	`associate-r_binary64_2405`
20×	`add-cbrt-cube_binary64_2501`
13×	`div-exp_binary64_2516`
8×	`associate-/l_binary64_2410` `associate-/r_binary64_2409`
6×	`pow1_binary64_2526` `pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `add-log-exp_binary64_2504`
5×	`cbrt-undiv_binary64_2499` `div-inv_binary64_2462` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498`
3×	`sub-neg_binary64_2458` `associate-r/_binary64_2407` `associate-l*_binary64_2406`
2×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `frac-sub_binary64_2474` `flip3--_binary64_2469` `flip--_binary64_2440` `distribute-lft-out--_binary64_2417`
1×	`diff-log_binary64_2557` `pow-prod-down_binary64_2536` `unswap-sqr_binary64_2433` `*-commutative_binary64_2396`

Counts

4 → 340

Calls

4 calls:

42.0ms	(.f64 2 (-.f64 (/.f64 (.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
28.0ms	(-.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
7.0ms	(/.f64 (pow.f64 x 4) (pow.f64 y 4))
6.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 11094 to 6631 computations (40.2% saved)

series766.0ms (15.9%)

Error

0.2b

Counts

4 → 36

Calls

4 calls:

273.0ms	(.f64 2 (-.f64 (/.f64 (.f64 x x) (*.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4))))
252.0ms	(-.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (pow.f64 x 4) (pow.f64 y 4)))
116.0ms	(/.f64 (pow.f64 x 4) (pow.f64 y 4))
91.0ms	(/.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1680 to 1415 computations (15.8% saved)

simplify152.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

376 → 376

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4901	8125
1	4901	8125

prune445.0ms (9.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	376	0	376
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	376	5	381

Error

0.2b

Counts

381 → 5

Compiler

Compiled 8918 to 4674 computations (47.6% saved)

regimes167.0ms (3.5%)

Accuracy

Total 4.5b remaining (93%)

Threshold costs 0b (0%)

Compiler

Compiled 1094 to 640 computations (41.5% saved)

bsearch54.0ms (1.1%)

Steps

Iters	Range	Point
8	3.1116133913596167e-167	3.2799903507781914e-163	3.2075680830313876e-163
9	-3.219353478414134e-155	-4.127356531266915e-163	-1.56420476163049e-162
9	-4.62530671895729e+156	-4.479887157463887e+150	-1.3628642040166432e+154

Iters

Range

Point

3.1116133913596167e-167

3.2799903507781914e-163

3.2075680830313876e-163

-3.219353478414134e-155

-4.127356531266915e-163

-1.56420476163049e-162

-4.62530671895729e+156

-4.479887157463887e+150

-1.3628642040166432e+154

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	36	68
1	36	68

end0.0ms (0%)

sample1.1s (22.5%)

Algorithm

1×

intervals

Results

309.0ms	8000×	body	128	valid
147.0ms	8000×	pre	128	true

Compiler

Compiled 421 to 247 computations (41.3% saved)

Details

analyze344.0ms (7.1%)

sample25.0ms (0.5%)

simplify185.0ms (3.8%)

prune2.0ms (0.1%)

localize15.0ms (0.3%)

rewrite57.0ms (1.2%)

series250.0ms (5.2%)

simplify42.0ms (0.9%)

prune48.0ms (1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune6.0ms (0.1%)

localize7.0ms (0.1%)

rewrite53.0ms (1.1%)

series196.0ms (4.1%)

simplify66.0ms (1.4%)

prune46.0ms (1%)

localize12.0ms (0.3%)

rewrite788.0ms (16.3%)

series766.0ms (15.9%)

simplify152.0ms (3.2%)

prune445.0ms (9.2%)

regimes167.0ms (3.5%)

bsearch54.0ms (1.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (22.5%)

Profiling