Details

analyze388.0ms (2.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
6.2%	93.6%	0.2%	5
6.2%	68.6%	25.1%	6
6.2%	49.9%	43.9%	7
6.2%	35.9%	57.9%	8
6.2%	25.3%	68.4%	9
6.2%	20.1%	73.7%	10
6.2%	15.7%	78.1%	11
6.2%	12%	81.7%	12
6.2%	9%	84.8%	13
6.2%	7.5%	86.3%	14

Compiler

Compiled 32 to 28 computations (12.5% saved)

sample174.0ms (1.1%)

Algorithm

1×

intervals

Results

64.0ms	155×	body	512	valid
35.0ms	275×	body	128	nan
29.0ms	58×	body	1024	valid
6.0ms	25×	body	128	valid
5.0ms	18×	body	256	valid

Compiler

Compiled 63 to 59 computations (6.3% saved)

simplify197.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5168	50

prune8.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

5.4b

Counts

2 → 1

Compiler

Compiled 62 to 54 computations (12.9% saved)

localize46.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))) (-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
0.0b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 t 1))
2.1b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
2.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
2.6b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
3.4b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

rewrite71.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64_11353` `sqrt-prod_binary64_11347`
40×	`*-un-lft-identity_binary64_11331`
24×	`cancel-sign-sub-inv_binary64_11297`
16×	`difference-of-squares_binary64_11300`
12×	`distribute-lft-out--_binary64_11283` `add-log-exp_binary64_11370` `add-cube-cbrt_binary64_11366`
4×	`add-exp-log_binary64_11369` `pow1_binary64_11392` `sub-neg_binary64_11324` `flip3--_binary64_11335` `distribute-lft-out_binary64_11282` `add-cbrt-cube_binary64_11367` `diff-log_binary64_11423` `flip--_binary64_11306`

Counts

4 → 96

Calls

8 calls:

22.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
19.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
0.0ms	(sqrt.f64 (+.f64 t 1))

series214.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
60.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
49.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
42.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

Compiler

Compiled 928 to 800 computations (13.8% saved)

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4912	1588
1	4912	1588

prune441.0ms (2.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Error

0.4b

Counts

109 → 5

Compiler

Compiled 4025 to 2570 computations (36.1% saved)

localize24.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
0.0b	(sqrt.f64 (+.f64 t 1))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
2.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
2.6b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
3.4b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

rewrite98.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`*-un-lft-identity_binary64_11331`
49×	`sqrt-prod_binary64_11347`
45×	`add-sqr-sqrt_binary64_11353`
21×	`add-cube-cbrt_binary64_11366`
19×	`distribute-lft-out_binary64_11282`
18×	`cancel-sign-sub-inv_binary64_11297` `times-frac_binary64_11337`
12×	`difference-of-squares_binary64_11300`
10×	`add-log-exp_binary64_11370`
9×	`distribute-lft-out--_binary64_11283`
8×	`add-exp-log_binary64_11369`
6×	`associate-/r*_binary64_11275` `add-cbrt-cube_binary64_11367`
5×	`pow1_binary64_11392`
3×	`sub-neg_binary64_11324` `associate-/l*_binary64_11276` `flip3--_binary64_11335` `diff-log_binary64_11423` `flip--_binary64_11306`
2×	`div-exp_binary64_11382` `associate-/r/_binary64_11277`
1×	`1-exp_binary64_11375` `pow-flip_binary64_11405` `rec-exp_binary64_11381` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `inv-pow_binary64_11416` `flip3-+_binary64_11334` `flip-+_binary64_11305` `clear-num_binary64_11330`

Counts

4 → 117

Calls

8 calls:

21.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
18.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
17.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
14.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
0.0ms	(sqrt.f64 (+.f64 t 1))

series161.0ms (1%)

Counts

4 → 12

Calls

4 calls:

57.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
42.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
34.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
28.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))

Compiler

Compiled 918 to 804 computations (12.4% saved)

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4879	2015
1	4879	2015

prune376.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	130	4	134

Error

0.3b

Counts

134 → 4

Compiler

Compiled 5029 to 3315 computations (34.1% saved)

localize45.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
0.0b	(sqrt.f64 (+.f64 t 1))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
2.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
2.6b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

rewrite83.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

100×	`*-un-lft-identity_binary64_11331`
54×	`sqrt-prod_binary64_11347`
46×	`add-sqr-sqrt_binary64_11353`
36×	`times-frac_binary64_11337`
34×	`distribute-lft-out_binary64_11282`
30×	`add-cube-cbrt_binary64_11366`
12×	`add-exp-log_binary64_11369` `associate-/r*_binary64_11275` `cancel-sign-sub-inv_binary64_11297`
8×	`difference-of-squares_binary64_11300` `add-log-exp_binary64_11370` `add-cbrt-cube_binary64_11367`
6×	`distribute-lft-out--_binary64_11283` `pow1_binary64_11392` `associate-/l*_binary64_11276`
4×	`div-exp_binary64_11382` `associate-/r/_binary64_11277`
2×	`1-exp_binary64_11375` `sub-neg_binary64_11324` `pow-flip_binary64_11405` `rec-exp_binary64_11381` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `flip3--_binary64_11335` `inv-pow_binary64_11416` `diff-log_binary64_11423` `flip3-+_binary64_11334` `flip-+_binary64_11305` `clear-num_binary64_11330` `flip--_binary64_11306`

Counts

4 → 138

Calls

8 calls:

21.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
16.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
16.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
0.0ms	(sqrt.f64 (+.f64 t 1))

series126.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
39.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
25.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
23.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))

Compiler

Compiled 908 to 808 computations (11% saved)

simplify91.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4879	2442
1	4879	2442

prune502.0ms (3.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	150	4	154

Error

0.3b

Counts

154 → 4

Compiler

Compiled 6178 to 4191 computations (32.2% saved)

localize55.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.0b	(+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
0.0b	(sqrt.f64 (+.f64 x 1))
0.0b	(sqrt.f64 (+.f64 t 1))
0.0b	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
2.1b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite73.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

130×	`*-un-lft-identity_binary64_11331`
59×	`sqrt-prod_binary64_11347`
54×	`times-frac_binary64_11337`
49×	`distribute-lft-out_binary64_11282`
47×	`add-sqr-sqrt_binary64_11353`
39×	`add-cube-cbrt_binary64_11366`
18×	`associate-/r*_binary64_11275`
16×	`add-exp-log_binary64_11369`
10×	`add-cbrt-cube_binary64_11367`
9×	`associate-/l*_binary64_11276`
7×	`pow1_binary64_11392`
6×	`div-exp_binary64_11382` `associate-/r/_binary64_11277` `add-log-exp_binary64_11370` `cancel-sign-sub-inv_binary64_11297`
4×	`difference-of-squares_binary64_11300`
3×	`distribute-lft-out--_binary64_11283` `1-exp_binary64_11375` `pow-flip_binary64_11405` `rec-exp_binary64_11381` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `inv-pow_binary64_11416` `flip3-+_binary64_11334` `flip-+_binary64_11305` `clear-num_binary64_11330`
1×	`sub-neg_binary64_11324` `flip3--_binary64_11335` `diff-log_binary64_11423` `flip--_binary64_11306`

Counts

4 → 159

Calls

8 calls:

13.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
13.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
0.0ms	(+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z))

series154.0ms (0.9%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t)))
44.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
39.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y)))
25.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 z)) (sqrt.f64 z)))

Compiler

Compiled 898 to 812 computations (9.6% saved)

simplify79.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5016	2869

prune608.0ms (3.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	169	2	171
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	171	4	175

Error

0.0b

Counts

175 → 4

Compiler

Compiled 7211 to 4987 computations (30.8% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	396	1946
1	396	1946

regimes724.0ms (4.4%)

Accuracy

Total 0.0b remaining (49.7%)

Threshold costs 0.0b (49.7%)

Compiler

Compiled 7176 to 6372 computations (11.2% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	62
1	41	62

end0.0ms (0%)

sample11.5s (69.9%)

Algorithm

1×

intervals

Results

2.0s	4465×	body	512	valid
1.4s	9375×	body	128	nan
1.0s	1714×	body	1024	valid
286.0ms	966×	body	256	valid
127.0ms	855×	body	128	valid

Compiler

Compiled 3795 to 3354 computations (11.6% saved)

Pareto

0.25259187309644

Details

analyze388.0ms (2.4%)

sample174.0ms (1.1%)

simplify197.0ms (1.2%)

prune8.0ms (0%)

localize46.0ms (0.3%)

rewrite71.0ms (0.4%)

series214.0ms (1.3%)

simplify61.0ms (0.4%)

prune441.0ms (2.7%)

localize24.0ms (0.1%)

rewrite98.0ms (0.6%)

series161.0ms (1%)

simplify108.0ms (0.7%)

prune376.0ms (2.3%)

localize45.0ms (0.3%)

rewrite83.0ms (0.5%)

series126.0ms (0.8%)

simplify91.0ms (0.6%)

prune502.0ms (3.1%)

localize55.0ms (0.3%)

rewrite73.0ms (0.4%)

series154.0ms (0.9%)

simplify79.0ms (0.5%)

prune608.0ms (3.7%)

simplify26.0ms (0.2%)

regimes724.0ms (4.4%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample11.5s (69.9%)

Profiling