Details

analyze1.9s (14.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

Compiler

Compiled 34 to 27 computations (20.6% saved)

sample39.0ms (0.3%)

Algorithm

1×

intervals

Results

20.0ms	256×	body	128	valid
1.0ms	7×	body	128	invalid

Compiler

Compiled 67 to 61 computations (9% saved)

simplify302.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (135.0ms)

Iter	Nodes	Cost
0	4952	49
1	4952	49

prune4.0ms (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

Merged error: 29.6b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
28.9b	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))

rewrite86.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1821`
18×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
12×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
10×	`pow1_binary64_1860`
9×	`associate-l_binary64_1740` `times-frac_binary64_1805` `associate-r_binary64_1739`
6×	`associate-*l/_binary64_1742`
5×	`flip3-+_binary64_1802` `flip-+_binary64_1773`
4×	`add-log-exp_binary64_1838`
3×	`associate-/l_binary64_1744` `prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `associate-/r_binary64_1743` `cbrt-unprod_binary64_1832` `*-commutative_binary64_1730` `pow-prod-down_binary64_1870`
2×	`associate-/r/_binary64_1745` `associate-/l/_binary64_1746`
1×	`clear-num_binary64_1798` `div-exp_binary64_1850` `frac-2neg_binary64_1810` `cbrt-undiv_binary64_1833` `div-inv_binary64_1796`

Counts

4 → 91

Calls

4 calls:

32.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
15.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
15.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
12.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)

series1.0s (7.4%)

Counts

4 → 12

Calls

4 calls:

747.0ms	(/.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (+.f64 (.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y) i))
111.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 (+.f64 y a) y) b) y) c) y)
90.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
56.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5419	3432

prune836.0ms (6.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	91	12	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	13	104

Merged error: 28.6b

Counts

104 → 13

Compiler

Compiled 22325 to 12074 computations (45.9% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
0.2b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
28.9b	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))

rewrite94.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

35×	`add-sqr-sqrt_binary64_1821`
25×	`*-un-lft-identity_binary64_1799`
24×	`add-cube-cbrt_binary64_1834`
21×	`add-exp-log_binary64_1837` `associate-r_binary64_1739`
20×	`times-frac_binary64_1805`
15×	`add-cbrt-cube_binary64_1835`
11×	`pow1_binary64_1860`
9×	`associate-l_binary64_1740`
6×	`prod-exp_binary64_1848` `flip3-+_binary64_1802` `flip-+_binary64_1773`
5×	`unswap-sqr_binary64_1767`
4×	`div-exp_binary64_1850` `add-log-exp_binary64_1838` `associate-/r/_binary64_1745` `cbrt-unprod_binary64_1832` `associate-*l/_binary64_1742`
3×	`associate-/l_binary64_1744` `associate-/r_binary64_1743` `associate-r/_binary64_1741` `-commutative_binary64_1730` `pow-prod-down_binary64_1870`
2×	`rec-exp_binary64_1849` `1-exp_binary64_1843` `cbrt-undiv_binary64_1833` `div-inv_binary64_1796` `frac-times_binary64_1809`
1×	`distribute-rgt-in_binary64_1749` `clear-num_binary64_1798` `distribute-lft-in_binary64_1748` `un-div-inv_binary64_1797` `frac-2neg_binary64_1810` `pow-flip_binary64_1873` `inv-pow_binary64_1884`

Counts

4 → 117

Calls

4 calls:

37.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))
16.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
13.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
11.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))

series1.0s (7.7%)

Counts

4 → 12

Calls

4 calls:

777.0ms	(.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)))
104.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
101.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
60.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4996	4367
1	4996	4367

prune406.0ms (3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	124	5	129
Fresh	5	6	11
Picked	1	0	1
Done	0	1	1
Total	130	12	142

Merged error: 28.6b

Counts

142 → 12

Compiler

Compiled 11448 to 5416 computations (52.7% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))
0.1b	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
0.3b	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
28.9b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))

rewrite121.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_1805`
64×	`add-sqr-sqrt_binary64_1821`
60×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
21×	`add-exp-log_binary64_1837`
18×	`associate-/r*_binary64_1743`
15×	`add-cbrt-cube_binary64_1835`
11×	`associate-/r/_binary64_1745`
9×	`pow1_binary64_1860`
8×	`div-exp_binary64_1850` `flip3-+_binary64_1802` `flip-+_binary64_1773`
6×	`associate-/l_binary64_1744` `associate-l_binary64_1740` `div-inv_binary64_1796` `associate-r*_binary64_1739`
4×	`add-log-exp_binary64_1838` `associate-*r/_binary64_1741` `cbrt-undiv_binary64_1833`
2×	`distribute-rgt-in_binary64_1749` `clear-num_binary64_1798` `distribute-lft-in_binary64_1748` `prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `rec-exp_binary64_1849` `frac-2neg_binary64_1810` `1-exp_binary64_1843` `associate-/l/_binary64_1746` `cbrt-unprod_binary64_1832` `*-commutative_binary64_1730` `pow-prod-down_binary64_1870`
1×	`pow-flip_binary64_1873` `inv-pow_binary64_1884`

Counts

4 → 159

Calls

4 calls:

36.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
32.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
13.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))
11.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))

series2.1s (15.3%)

Counts

4 → 12

Calls

4 calls:

1.1s	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
839.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
70.0ms	(.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184))
60.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))

simplify134.0ms (1%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4983	9758
1	4983	9758

prune566.0ms (4.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	170	1	171
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	171	12	183

Merged error: 28.6b

Counts

183 → 12

Compiler

Compiled 15543 to 7096 computations (54.3% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
0.2b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
0.4b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
28.7b	(/.f64 (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))

rewrite190.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

531×	`times-frac_binary64_1805`
248×	`add-sqr-sqrt_binary64_1821`
246×	`add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
69×	`associate-/r/_binary64_1745`
54×	`add-exp-log_binary64_1837`
36×	`div-exp_binary64_1850`
35×	`div-inv_binary64_1796` `flip3-+_binary64_1802` `flip-+_binary64_1773`
22×	`add-cbrt-cube_binary64_1835`
21×	`associate-/l_binary64_1744` `associate-/r_binary64_1743`
10×	`rec-exp_binary64_1849` `1-exp_binary64_1843` `cbrt-undiv_binary64_1833`
8×	`pow1_binary64_1860`
4×	`add-log-exp_binary64_1838`
3×	`clear-num_binary64_1798` `frac-2neg_binary64_1810` `associate-l_binary64_1740` `associate-r_binary64_1739`
2×	`pow-flip_binary64_1873` `associate-*r/_binary64_1741` `inv-pow_binary64_1884`
1×	`distribute-rgt-in_binary64_1749` `distribute-lft-in_binary64_1748` `prod-exp_binary64_1848` `unswap-sqr_binary64_1767` `associate-/l/_binary64_1746` `cbrt-unprod_binary64_1832` `*-commutative_binary64_1730` `pow-prod-down_binary64_1870`

Counts

4 → 375

Calls

4 calls:

42.0ms	(/.f64 (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
18.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
18.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))
17.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))

series1.1s (8.3%)

Counts

4 → 12

Calls

4 calls:

843.0ms	(/.f64 (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i)) (/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t)))
127.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
96.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
53.0ms	(.f64 y (+.f64 (.f64 y (+.f64 y a)) b))

simplify329.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4970	32890
1	4970	32890

prune1.1s (8.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	386	1	387
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	388	11	399

Merged error: 28.6b

Counts

399 → 11

Compiler

Compiled 26029 to 8634 computations (66.8% saved)

regimes324.0ms (2.4%)

Compiler: Compiled 4519 to 3096 computations (31.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	49
1	42	49

end0.0ms (0%)

sample1.5s (10.9%)

Algorithm

1×

intervals

Results

691.0ms	8000×	body	128	valid
24.0ms	231×	body	128	invalid

Compiler

Compiled 560 to 385 computations (31.3% saved)

Details

analyze1.9s (14.3%)

sample39.0ms (0.3%)

simplify302.0ms (2.2%)

prune4.0ms (0%)

localize23.0ms (0.2%)

rewrite86.0ms (0.6%)

series1.0s (7.4%)

simplify92.0ms (0.7%)

prune836.0ms (6.2%)

localize29.0ms (0.2%)

rewrite94.0ms (0.7%)

series1.0s (7.7%)

simplify98.0ms (0.7%)

prune406.0ms (3%)

localize25.0ms (0.2%)

rewrite121.0ms (0.9%)

series2.1s (15.3%)

simplify134.0ms (1%)

prune566.0ms (4.2%)

localize30.0ms (0.2%)

rewrite190.0ms (1.4%)

series1.1s (8.3%)

simplify329.0ms (2.4%)

prune1.1s (8.4%)

regimes324.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (10.9%)

Profiling