Details

analyze265.0ms (2.6%)

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)

sample124.0ms (1.2%)

Algorithm

1×

intervals

Results

42.0ms	136×	body	512	valid
29.0ms	294×	body	128	nan
25.0ms	62×	body	1024	valid
5.0ms	27×	body	256	valid
3.0ms	31×	body	128	valid

Compiler

Compiled 63 to 59 computations (6.3% saved)

simplify143.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5168	50

prune8.0ms (0.1%)

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

5.5b

Counts

2 → 1

Compiler

Compiled 62 to 54 computations (12.9% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
2.7b	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
3.0b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.7b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite50.0ms (0.5%)

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

4 calls:

10.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))
10.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

series138.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

38.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
35.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
34.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
32.0ms	(-.f64 (sqrt.f64 (+.f64 y 1)) (sqrt.f64 y))

Compiler

Compiled 928 to 800 computations (13.8% saved)

simplify57.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4912	1588
1	4912	1588

prune230.0ms (2.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	98	10	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	10	109

Error

1.0b

Counts

109 → 10

Compiler

Compiled 4240 to 2746 computations (35.2% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
2.4b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
3.0b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
3.7b	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))

rewrite54.0ms (0.5%)

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

4 calls:

10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

series124.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

37.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
34.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
34.0ms	(-.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z))
20.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))

Compiler

Compiled 918 to 804 computations (12.4% saved)

simplify78.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4879	2015
1	4879	2015

prune277.0ms (2.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	125	4	129
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	130	9	139

Error

0.6b

Counts

139 → 9

Compiler

Compiled 5235 to 3488 computations (33.4% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
2.4b	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
3.0b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite64.0ms (0.6%)

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

4 calls:

12.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
12.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
11.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))

series119.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

41.0ms	(-.f64 (sqrt.f64 (+.f64 t 1)) (sqrt.f64 t))
36.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
21.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
21.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))

Compiler

Compiled 908 to 808 computations (11% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4879	2442
1	4879	2442

prune355.0ms (3.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	148	2	150
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	151	8	159

Error

0.4b

Counts

159 → 8

Compiler

Compiled 6321 to 4315 computations (31.7% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
0.2b	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
3.0b	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

rewrite68.0ms (0.7%)

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

4 calls:

14.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))
10.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
9.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))

series104.0ms (1%)

Counts

4 → 12

Calls

4 calls:

36.0ms	(-.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 x))
26.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 y)) (sqrt.f64 y)))
21.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 1 t)) (sqrt.f64 t)))
21.0ms	(/.f64 1 (+.f64 (sqrt.f64 (+.f64 z 1)) (sqrt.f64 z)))

Compiler

Compiled 898 to 812 computations (9.6% saved)

simplify65.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5016	2869

prune441.0ms (4.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	166	5	171
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	169	10	179

Error

0.0b

Counts

179 → 10

Compiler

Compiled 7211 to 4987 computations (30.8% saved)

regimes1.6s (16.4%)

Accuracy

Total 0.1b remaining (60.2%)

Threshold costs 0.1b (60.2%)

Compiler

Compiled 27252 to 23532 computations (13.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	62
1	41	62

end0.0ms (0%)

sample5.4s (54.2%)

Algorithm

1×

intervals

Results

1.3s	4416×	body	512	valid
961.0ms	9691×	body	128	nan
699.0ms	1741×	body	1024	valid
197.0ms	983×	body	256	valid
84.0ms	860×	body	128	valid

Compiler

Compiled 2058 to 1779 computations (13.6% saved)

Details

analyze265.0ms (2.6%)

sample124.0ms (1.2%)

simplify143.0ms (1.4%)

prune8.0ms (0.1%)

localize22.0ms (0.2%)

rewrite50.0ms (0.5%)

series138.0ms (1.4%)

simplify57.0ms (0.6%)

prune230.0ms (2.3%)

localize28.0ms (0.3%)

rewrite54.0ms (0.5%)

series124.0ms (1.2%)

simplify78.0ms (0.8%)

prune277.0ms (2.8%)

localize25.0ms (0.3%)

rewrite64.0ms (0.6%)

series119.0ms (1.2%)

simplify87.0ms (0.9%)

prune355.0ms (3.5%)

localize26.0ms (0.3%)

rewrite68.0ms (0.7%)

series104.0ms (1%)

simplify65.0ms (0.6%)

prune441.0ms (4.4%)

regimes1.6s (16.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.4s (54.2%)

Profiling