Details

analyze643.0ms (6.9%)

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)

sample23.0ms (0.2%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify122.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

prune5.0ms (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)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.5b	(+.f64 (.f64 a c) (.f64 b d))
23.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite79.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

23.3b

Rules

10×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
9×	`times-frac_binary64_1789`
4×	`add-exp-log_binary64_1821` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l_binary64_1728` `associate-/r_binary64_1727`
2×	`pow1_binary64_1844` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

2 → 42

Calls

2 calls:

10.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))

Compiler

Compiled 1203 to 160 computations (86.7% saved)

series515.0ms (5.6%)

Error

4.8b

Counts

2 → 48

Calls

2 calls:

334.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
149.0ms	(+.f64 (.f64 a c) (.f64 b d))

Compiler

Compiled 1644 to 1011 computations (38.5% saved)

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5127	1791

prune82.0ms (0.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	83	8	91

Error

4.7b

Counts

91 → 8

Compiler

Compiled 1862 to 261 computations (86% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (.f64 d b) (.f64 c a))
14.5b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
25.0b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
25.0b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite139.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

23×	`add-sqr-sqrt_binary64_1805`
21×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
18×	`sqrt-prod_binary64_1799` `times-frac_binary64_1789`
6×	`pow1_binary64_1844` `add-log-exp_binary64_1822` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `sqrt-div_binary64_1800` `associate-/r*_binary64_1727`
5×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
3×	`associate-/l*_binary64_1728`
2×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729`
1×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 84

Calls

4 calls:

12.0ms	(/.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)))
4.0ms	(+.f64 (.f64 d b) (.f64 c a))

Compiler

Compiled 3379 to 516 computations (84.7% saved)

series1.1s (11.4%)

Error

4.7b

Counts

4 → 93

Calls

4 calls:

460.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
179.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
164.0ms	(+.f64 (.f64 d b) (.f64 c a))
145.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 6318 to 3599 computations (43% saved)

simplify54.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4984	3629
1	4984	3629

prune201.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	175	2	177
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	177	8	185

Error

4.7b

Counts

185 → 8

Compiler

Compiled 5696 to 1174 computations (79.4% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.5b	(+.f64 (.f64 d b) (.f64 c a))
0.7b	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a))))
22.4b	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a)))

rewrite172.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

4.7b

Rules

90×	`times-frac_binary64_1789`
55×	`add-cube-cbrt_binary64_1818` `add-sqr-sqrt_binary64_1805` `*-un-lft-identity_binary64_1783`
18×	`associate-/r*_binary64_1727`
16×	`add-exp-log_binary64_1821`
11×	`associate-/r/_binary64_1729`
10×	`add-cbrt-cube_binary64_1819`
8×	`div-exp_binary64_1834`
7×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
6×	`div-inv_binary64_1780` `associate-/l*_binary64_1728`
5×	`add-log-exp_binary64_1822`
4×	`pow1_binary64_1844` `cbrt-undiv_binary64_1817`
2×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `associate-/l/_binary64_1730` `1-exp_binary64_1827` `rec-exp_binary64_1833`
1×	`inv-pow_binary64_1868` `pow-flip_binary64_1857` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

3 → 126

Calls

3 calls:

17.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a))))
10.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a)))
4.0ms	(+.f64 (.f64 d b) (.f64 c a))

Compiler

Compiled 4271 to 813 computations (81% saved)

series933.0ms (10.1%)

Error

4.7b

Counts

3 → 78

Calls

3 calls:

366.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a)))
346.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 d b) (.f64 c a))))
162.0ms	(+.f64 (.f64 d b) (.f64 c a))

Compiler

Compiled 3756 to 2573 computations (31.5% saved)

simplify141.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4988	5913
1	4988	5913

prune173.0ms (1.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	200	4	204
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	202	10	212

Error

2.7b

Counts

212 → 10

Compiler

Compiled 5172 to 889 computations (82.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

14.5b	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d))))))
25.0b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
25.0b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
25.0b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite171.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

2.7b

Rules

30×	`sqrt-div_binary64_1800`
12×	`add-sqr-sqrt_binary64_1805`
10×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
9×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `sqrt-prod_binary64_1799` `*-un-lft-identity_binary64_1783`
8×	`associate-/r/_binary64_1729`
7×	`pow1_binary64_1844`
4×	`add-log-exp_binary64_1822` `frac-times_binary64_1793`
3×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801` `rem-sqrt-square_binary64_1796` `times-frac_binary64_1789` `associate-/l*_binary64_1728`
2×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/l/_binary64_1730` `associate-l/_binary64_1726` `associate-r/_binary64_1725`
1×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/r*_binary64_1727`

Counts

4 → 76

Calls

4 calls:

26.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d))))))
6.0ms	(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 3995 to 556 computations (86.1% saved)

series1.1s (11.7%)

Error

2.7b

Counts

4 → 87

Calls

4 calls:

483.0ms	(/.f64 (+.f64 (.f64 d b) (.f64 c a)) (.f64 (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))) (sqrt.f64 (sqrt.f64 (+.f64 (.f64 c c) (*.f64 d d))))))
178.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
146.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
145.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 7512 to 4077 computations (45.7% saved)

simplify66.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5010	3181

prune206.0ms (2.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	163	10	173

Error

2.7b

Counts

173 → 10

Compiler

Compiled 6324 to 1323 computations (79.1% saved)

regimes1.3s (13.6%)

Accuracy

Total 11.9b remaining (82.4%)

Threshold costs 0b (0%)

Compiler

Compiled 7396 to 4011 computations (45.8% saved)

bsearch123.0ms (1.3%)

Steps

Iters	Range		Point
8	1.978134698787934e+41	6.464176775332817e+45	4.621378501818419e+44
8	2.593154302110071e-147	1.632803671243665e-142	1.1429473994431096e-145
9	-2.271203142594088e-161	-8.203157505463325e-167	-1.005001047695393e-161
9	-5.810018931600796e+144	-2.000326219039384e+136	-3.6836303645104744e+137

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	44	139
1	44	139

end0.0ms (0%)

sample1.9s (20.4%)

Algorithm

1×

intervals

Results

382.0ms	8000×	body	128	valid
20.0ms	463×	body	128	invalid

Compiler

Compiled 1578 to 844 computations (46.5% saved)

Details

analyze643.0ms (6.9%)

sample23.0ms (0.2%)

simplify122.0ms (1.3%)

prune5.0ms (0%)

localize16.0ms (0.2%)

rewrite79.0ms (0.9%)

series515.0ms (5.6%)

simplify64.0ms (0.7%)

prune82.0ms (0.9%)

localize13.0ms (0.1%)

rewrite139.0ms (1.5%)

series1.1s (11.4%)

simplify54.0ms (0.6%)

prune201.0ms (2.2%)

localize11.0ms (0.1%)

rewrite172.0ms (1.9%)

series933.0ms (10.1%)

simplify141.0ms (1.5%)

prune173.0ms (1.9%)

localize16.0ms (0.2%)

rewrite171.0ms (1.8%)

series1.1s (11.7%)

simplify66.0ms (0.7%)

prune206.0ms (2.2%)

regimes1.3s (13.6%)

bsearch123.0ms (1.3%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (20.4%)

Profiling