Details

analyze5.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	56.2%	43.8%	0
0%	56.2%	43.8%	1
0%	56.2%	43.8%	2
42.1%	14%	43.8%	3
42.1%	14%	43.8%	4
52.7%	3.5%	43.8%	5
56.2%	0%	43.8%	6

Compiler

Compiled 42 to 29 computations (31% saved)

sample40.0ms (0.2%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 77 to 55 computations (28.6% saved)

simplify322.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (231.0ms)

Iter	Nodes	Cost
0	5023	37

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

1.6b

Counts

2 → 2

Compiler

Compiled 85 to 60 computations (29.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))
0.1b	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
8.7b	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
10.3b	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))

rewrite420.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

77×	`*-un-lft-identity_binary64_1783`
34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `distribute-lft-out_binary64_1734`
24×	`flip3-+_binary64_1786` `flip-+_binary64_1757`
21×	`add-sqr-sqrt_binary64_1805` `associate-r_binary64_1723`
18×	`associate-/r/_binary64_1729`
16×	`frac-times_binary64_1793`
15×	`add-cube-cbrt_binary64_1818`
14×	`times-frac_binary64_1789`
13×	`pow1_binary64_1844`
11×	`swap-sqr_binary64_1750`
10×	`prod-exp_binary64_1832` `div-exp_binary64_1834` `cbrt-unprod_binary64_1816` `cbrt-undiv_binary64_1817` `associate-*l/_binary64_1726`
9×	`associate-l_binary64_1724`
8×	`associate-*r/_binary64_1725`
7×	`associate-/l/_binary64_1730`
6×	`associate-/r*_binary64_1727`
5×	`associate-/l*_binary64_1728`
4×	`add-log-exp_binary64_1822`
3×	`unswap-sqr_binary64_1751` `div-inv_binary64_1780`
2×	`pow-prod-down_binary64_1854` `*-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`pow2_binary64_1864` `pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `pow-sqr_binary64_1756` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`

Counts

4 → 158

Calls

4 calls:

28.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
27.0ms	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
18.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
15.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 6017 to 3676 computations (38.9% saved)

series2.5s (12.4%)

Error

0.2b

Counts

4 → 76

Calls

4 calls:

1.0s	(/.f64 (.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))) (+.f64 alpha (+.f64 beta 3)))
479.0ms	(.f64 (+.f64 alpha 1) (/.f64 (+.f64 beta 1) (.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))))
382.0ms	(/.f64 (+.f64 beta 1) (*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2)))
124.0ms	(*.f64 (+.f64 (+.f64 alpha beta) 2) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 15420 to 12253 computations (20.5% saved)

simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

234 → 234

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5284	13603

prune749.0ms (3.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	225	9	234
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	226	10	236

Error

0.0b

Counts

236 → 10

Compiler

Compiled 12365 to 8148 computations (34.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
0.0b	(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
0.1b	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))

rewrite454.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

192×	`*-un-lft-identity_binary64_1783`
89×	`times-frac_binary64_1789`
82×	`distribute-lft-out_binary64_1734`
60×	`add-sqr-sqrt_binary64_1805`
48×	`add-cube-cbrt_binary64_1818`
38×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
26×	`associate-l_binary64_1724` `associate-r_binary64_1723`
15×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/r*_binary64_1727`
10×	`associate-/r/_binary64_1729`
9×	`associate-/l*_binary64_1728`
8×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
7×	`associate-/l/_binary64_1730` `flip3-+_binary64_1786` `flip-+_binary64_1757`
6×	`pow1_binary64_1844`
5×	`div-inv_binary64_1780`
4×	`add-log-exp_binary64_1822` `unswap-sqr_binary64_1751`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782`
2×	`frac-times_binary64_1793` `associate-l/_binary64_1726` `associate-r/_binary64_1725`
1×	`pow-prod-down_binary64_1854` `*-commutative_binary64_1714`

Counts

4 → 202

Calls

4 calls:

33.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
27.0ms	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
12.0ms	(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))
10.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))

Compiler

Compiled 7414 to 4702 computations (36.6% saved)

series2.3s (11.5%)

Error

0.0b

Counts

4 → 80

Calls

4 calls:

1.1s	(/.f64 (*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
495.0ms	(*.f64 (/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2)))
171.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
140.0ms	(/.f64 (+.f64 1 alpha) (+.f64 2 (+.f64 beta alpha)))

Compiler

Compiled 15284 to 11923 computations (22% saved)

simplify139.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

282 → 282

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5124	14463

prune920.0ms (4.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	279	3	282
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	282	10	292

Error

Counts

292 → 10

Compiler

Compiled 13890 to 9070 computations (34.7% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
0.1b	(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
0.1b	(*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))))
0.1b	(/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))

rewrite716.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

203×	`*-un-lft-identity_binary64_1783`
99×	`times-frac_binary64_1789`
84×	`distribute-lft-out_binary64_1734`
73×	`add-sqr-sqrt_binary64_1805`
57×	`add-cube-cbrt_binary64_1818`
53×	`sqrt-prod_binary64_1799`
42×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
41×	`associate-r_binary64_1723`
15×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/l/_binary64_1730` `associate-/r*_binary64_1727`
14×	`sqrt-div_binary64_1800`
12×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-/l*_binary64_1728` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
11×	`frac-times_binary64_1793` `associate-*l/_binary64_1726`
8×	`associate-/r/_binary64_1729`
7×	`associate-l_binary64_1724`
6×	`pow1_binary64_1844` `unswap-sqr_binary64_1751`
4×	`add-log-exp_binary64_1822` `div-inv_binary64_1780` `associate-*r/_binary64_1725`
3×	`frac-2neg_binary64_1794` `clear-num_binary64_1782`
1×	`pow-prod-down_binary64_1854` `*-commutative_binary64_1714`

Counts

4 → 228

Calls

4 calls:

35.0ms	(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
26.0ms	(*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))))
15.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
11.0ms	(/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))

Compiler

Compiled 9943 to 6690 computations (32.7% saved)

series1.9s (9.3%)

Error

Counts

4 → 74

Calls

4 calls:

1.0s	(/.f64 (.f64 (.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))) (+.f64 alpha (+.f64 beta 3)))
186.0ms	(/.f64 (+.f64 beta 1) (+.f64 (+.f64 alpha beta) 2))
147.0ms	(/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha)))
135.0ms	(*.f64 (sqrt.f64 (+.f64 1 alpha)) (/.f64 (sqrt.f64 (+.f64 1 alpha)) (+.f64 2 (+.f64 beta alpha))))

Compiler

Compiled 13140 to 10203 computations (22.4% saved)

simplify133.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

302 → 302

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4988	12836
1	4988	12836

prune1.0s (5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	302	0	302
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	302	10	312

Error

Counts

312 → 10

Compiler

Compiled 14836 to 9941 computations (33% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (+.f64 1 alpha) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))))
0.1b	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))
0.1b	(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))
0.2b	(.f64 (.f64 (+.f64 1 alpha) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))

rewrite829.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

277×	`*-un-lft-identity_binary64_1783`
142×	`times-frac_binary64_1789`
113×	`distribute-lft-out_binary64_1734`
89×	`add-sqr-sqrt_binary64_1805` `sqrt-prod_binary64_1799`
82×	`associate-r_binary64_1723`
81×	`add-cube-cbrt_binary64_1818`
34×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
14×	`associate-/l*_binary64_1728`
12×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `flip3-+_binary64_1786` `flip-+_binary64_1757`
11×	`pow1_binary64_1844` `frac-times_binary64_1793` `associate-*l/_binary64_1726`
10×	`associate-/r*_binary64_1727`
8×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/r/_binary64_1729`
5×	`associate-l_binary64_1724`
4×	`pow-prod-down_binary64_1854` `add-log-exp_binary64_1822` `associate-*r/_binary64_1725` `div-inv_binary64_1780` `sqrt-div_binary64_1800` `associate-/l/_binary64_1730`
3×	`unswap-sqr_binary64_1751`
2×	`*-commutative_binary64_1714` `frac-2neg_binary64_1794` `clear-num_binary64_1782`

Counts

4 → 267

Calls

4 calls:

34.0ms	(.f64 (.f64 (+.f64 1 alpha) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))
24.0ms	(*.f64 (+.f64 1 alpha) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))))
12.0ms	(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))
11.0ms	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))

Compiler

Compiled 11534 to 7783 computations (32.5% saved)

series1.5s (7.6%)

Error

Counts

4 → 74

Calls

4 calls:

605.0ms	(.f64 (.f64 (+.f64 1 alpha) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))) (/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2)))
238.0ms	(*.f64 (+.f64 1 alpha) (/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha))))
183.0ms	(/.f64 (sqrt.f64 (+.f64 beta 1)) (+.f64 (+.f64 alpha beta) 2))
175.0ms	(/.f64 (sqrt.f64 (+.f64 1 beta)) (+.f64 2 (+.f64 beta alpha)))

Compiler

Compiled 12236 to 9470 computations (22.6% saved)

simplify150.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

341 → 341

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4926	12400
1	4926	12400

prune1.2s (6.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	341	0	341
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	341	10	351

Error

Counts

351 → 10

Compiler

Compiled 15166 to 10125 computations (33.2% saved)

regimes728.0ms (3.6%)

Accuracy

Total 0.1b remaining (93.6%)

Threshold costs 0.1b (93.6%)

Compiler

Compiled 11666 to 8603 computations (26.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	37
1	24	37

end0.0ms (0%)

sample3.8s (19.1%)

Algorithm

1×

intervals

Results

505.0ms	8000×	body	128	valid
142.0ms	8000×	pre	128	true

Compiler

Compiled 3931 to 2898 computations (26.3% saved)

Details

analyze5.0ms (0%)

sample40.0ms (0.2%)

simplify322.0ms (1.6%)

prune5.0ms (0%)

localize13.0ms (0.1%)

rewrite420.0ms (2.1%)

series2.5s (12.4%)

simplify126.0ms (0.6%)

prune749.0ms (3.7%)

localize15.0ms (0.1%)

rewrite454.0ms (2.3%)

series2.3s (11.5%)

simplify139.0ms (0.7%)

prune920.0ms (4.6%)

localize20.0ms (0.1%)

rewrite716.0ms (3.6%)

series1.9s (9.3%)

simplify133.0ms (0.7%)

prune1.0s (5%)

localize25.0ms (0.1%)

rewrite829.0ms (4.1%)

series1.5s (7.6%)

simplify150.0ms (0.7%)

prune1.2s (6.2%)

regimes728.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.8s (19.1%)

Profiling