Details

analyze535.0ms (6.1%)

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
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample22.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify96.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

prune2.0ms (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

23.4b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 a c) (.f64 b d))
0.0b	(+.f64 (.f64 c c) (.f64 d d))
23.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite83.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

23.2b

Rules

11×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
9×	`times-frac_binary64_1448`
7×	`add-log-exp_binary64_1481`
5×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
4×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
3×	`pow1_binary64_1503` `associate-/l_binary64_1387` `associate-/r_binary64_1386`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `sum-log_binary64_1533` `+-commutative_binary64_1372`
1×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439`

Counts

3 → 53

Calls

3 calls:

9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))

Compiler

Compiled 1469 to 193 computations (86.9% saved)

series575.0ms (6.5%)

Error

5.3b

Counts

3 → 63

Calls

3 calls:

318.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
133.0ms	(+.f64 (.f64 a c) (.f64 b d))
81.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 2202 to 1388 computations (37% saved)

simplify121.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4951	2131
1	4951	2131

prune84.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	110	6	116
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	7	117

Error

5.3b

Counts

117 → 7

Compiler

Compiled 2261 to 299 computations (86.8% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
13.9b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.6b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.6b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite247.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

5.3b

Rules

95×	`add-sqr-sqrt_binary64_1464`
76×	`times-frac_binary64_1448`
53×	`*-un-lft-identity_binary64_1442`
47×	`add-cube-cbrt_binary64_1477` `sqrt-prod_binary64_1458`
28×	`add-exp-log_binary64_1480`
24×	`associate-l_binary64_1383` `associate-r_binary64_1382`
18×	`add-cbrt-cube_binary64_1478`
15×	`unswap-sqr_binary64_1410`
10×	`sqrt-div_binary64_1459`
9×	`div-exp_binary64_1493`
8×	`pow1_binary64_1503` `prod-exp_binary64_1491`
6×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-/r/_binary64_1388` `associate-/r*_binary64_1386`
5×	`cbrt-undiv_binary64_1476`
4×	`add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475`
3×	`div-inv_binary64_1439` `associate-/l*_binary64_1387`
2×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `associate-/l/_binary64_1389` `1-exp_binary64_1486` `rec-exp_binary64_1492`
1×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `pow-prod-down_binary64_1513` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `*-commutative_binary64_1373`

Counts

4 → 160

Calls

4 calls:

27.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
9.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 7120 to 1049 computations (85.3% saved)

series1.1s (12%)

Error

5.3b

Counts

4 → 96

Calls

4 calls:

393.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
309.0ms	(.f64 (/.f64 1 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d)))))
133.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
131.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 5790 to 3738 computations (35.4% saved)

simplify124.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

256 → 256

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4965	7451
1	4965	7451

prune216.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	255	1	256
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	256	7	263

Error

4.8b

Counts

263 → 7

Compiler

Compiled 8277 to 1326 computations (84% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a c) (.f64 b d))
0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.6b	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))
22.8b	(.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))

rewrite124.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

4.8b

Rules

27×	`add-sqr-sqrt_binary64_1464`
21×	`*-un-lft-identity_binary64_1442`
20×	`add-cube-cbrt_binary64_1477` `times-frac_binary64_1448`
17×	`add-exp-log_binary64_1480`
15×	`associate-r_binary64_1382`
11×	`add-cbrt-cube_binary64_1478`
8×	`add-log-exp_binary64_1481`
7×	`pow1_binary64_1503`
6×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`div-exp_binary64_1493` `prod-exp_binary64_1491` `associate-/r/_binary64_1388`
3×	`unswap-sqr_binary64_1410` `associate-l_binary64_1383` `associate-/l_binary64_1387` `associate-/r_binary64_1386`
2×	`1-exp_binary64_1486` `rec-exp_binary64_1492` `cbrt-unprod_binary64_1475` `cbrt-undiv_binary64_1476` `frac-times_binary64_1452` `associate-*l/_binary64_1385` `div-inv_binary64_1439` `sum-log_binary64_1533` `+-commutative_binary64_1372`
1×	`pow-prod-down_binary64_1513` `un-div-inv_binary64_1440` `associate-r/_binary64_1384` `-commutative_binary64_1373` `inv-pow_binary64_1527` `pow-flip_binary64_1516` `frac-2neg_binary64_1453` `clear-num_binary64_1441`

Counts

4 → 97

Calls

4 calls:

13.0ms	(.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))
6.0ms	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))

Compiler

Compiled 2761 to 650 computations (76.5% saved)

series651.0ms (7.4%)

Error

4.8b

Counts

4 → 75

Calls

4 calls:

307.0ms	(.f64 (+.f64 (.f64 a c) (.f64 b d)) (/.f64 1 (+.f64 (.f64 c c) (*.f64 d d))))
139.0ms	(+.f64 (.f64 a c) (.f64 b d))
82.0ms	(+.f64 (.f64 c c) (.f64 d d))
75.0ms	(/.f64 1 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 2964 to 2009 computations (32.2% saved)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5147	2961

prune122.0ms (1.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	172	7	179

Error

4.8b

Counts

179 → 7

Compiler

Compiled 3512 to 731 computations (79.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.9b	(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
5.2b	(/.f64 (*.f64 d d) c)
6.3b	(/.f64 a (/.f64 (*.f64 d d) c))

rewrite102.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

3.2b

Rules

38×	`times-frac_binary64_1448`
27×	`*-un-lft-identity_binary64_1442`
21×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
17×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
10×	`associate-/r*_binary64_1386`
7×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
6×	`div-inv_binary64_1439`
5×	`add-log-exp_binary64_1481`
4×	`associate-/l*_binary64_1387`
3×	`pow1_binary64_1503`
2×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `distribute-lft-out_binary64_1393`
1×	`associate-/r/_binary64_1388` `sum-log_binary64_1533` `frac-add_binary64_1450` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

3 → 83

Calls

3 calls:

19.0ms	(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
6.0ms	(/.f64 a (/.f64 (*.f64 d d) c))
4.0ms	(/.f64 (*.f64 d d) c)

Compiler

Compiled 1564 to 356 computations (77.2% saved)

series548.0ms (6.2%)

Error

4.8b

Counts

3 → 39

Calls

3 calls:

284.0ms	(+.f64 (/.f64 b d) (/.f64 a (/.f64 (*.f64 d d) c)))
134.0ms	(/.f64 a (/.f64 (*.f64 d d) c))
110.0ms	(/.f64 (*.f64 d d) c)

Compiler

Compiled 1011 to 756 computations (25.2% saved)

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4972	1730
1	4972	1730

prune80.0ms (0.9%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	1	2	3
Picked	1	0	1
Done	0	3	3
Total	119	10	129

Error

3.2b

Counts

129 → 10

Compiler

Compiled 1757 to 304 computations (82.7% saved)

regimes1.7s (19%)

Accuracy

Total 9.8b remaining (80.1%)

Threshold costs 0b (0%)

Compiler

Compiled 10521 to 6146 computations (41.6% saved)

bsearch101.0ms (1.1%)

Steps

Iters	Range		Point
7	1.1212822598102334e+80	1.7703897453964647e+82	7.162264487896466e+81
10	5.0661212852755664e-135	2.2985265637657406e-119	2.5365321914959593e-134
10	-4.998751043810138e-102	-7.847994106448998e-112	-7.875830746956647e-107
10	-2.2807487878557336e+101	-1.4391149637484194e+91	-7.553879560626287e+93

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	151
1	50	151

end0.0ms (0%)

sample2.0s (23.3%)

Algorithm

1×

intervals

Results

332.0ms	8000×	body	128	valid
22.0ms	497×	body	128	invalid

Compiler

Compiled 2211 to 1275 computations (42.3% saved)

Details

analyze535.0ms (6.1%)

sample22.0ms (0.2%)

simplify96.0ms (1.1%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite83.0ms (0.9%)

series575.0ms (6.5%)

simplify121.0ms (1.4%)

prune84.0ms (1%)

localize15.0ms (0.2%)

rewrite247.0ms (2.8%)

series1.1s (12%)

simplify124.0ms (1.4%)

prune216.0ms (2.5%)

localize13.0ms (0.2%)

rewrite124.0ms (1.4%)

series651.0ms (7.4%)

simplify85.0ms (1%)

prune122.0ms (1.4%)

localize8.0ms (0.1%)

rewrite102.0ms (1.2%)

series548.0ms (6.2%)

simplify63.0ms (0.7%)

prune80.0ms (0.9%)

regimes1.7s (19%)

bsearch101.0ms (1.1%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (23.3%)

Profiling