Details

analyze2.1s (15.9%)

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

21.0ms	256×	body	128	valid
1.0ms	7×	body	128	invalid

Compiler

Compiled 67 to 61 computations (9% saved)

simplify291.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4952	49
1	4952	49

prune3.0ms (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: 29.1b

Counts

2 → 1

Compiler

Compiled 66 to 52 computations (21.2% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
28.4b	(/.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))

rewrite77.0ms (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:

31.0ms	(/.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))
14.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
11.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)
8.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series959.0ms (7.2%)

Counts

4 → 12

Calls

4 calls:

751.0ms	(/.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))
95.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
61.0ms	(.f64 (+.f64 (.f64 x y) z) y)
52.0ms	(.f64 (+.f64 (.f64 (+.f64 y a) y) b) y)

simplify81.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5166	3231

prune745.0ms (5.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	94	9	103
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	10	104

Merged error: 27.9b

Counts

104 → 10

Compiler

Compiled 22081 to 11318 computations (48.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (+.f64 (.f64 x y) z) y)
0.1b	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
0.1b	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
28.4b	(.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)))

rewrite92.0ms (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` `associate-*l/_binary64_1742`
5×	`unswap-sqr_binary64_1767`
4×	`div-exp_binary64_1850` `add-log-exp_binary64_1838` `associate-/r/_binary64_1745` `cbrt-unprod_binary64_1832`
3×	`associate-/l_binary64_1744` `associate-/r_binary64_1743` `*-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×	`clear-num_binary64_1798` `un-div-inv_binary64_1797` `frac-2neg_binary64_1810` `pow-flip_binary64_1873` `associate-*r/_binary64_1741` `inv-pow_binary64_1884`

Counts

4 → 115

Calls

4 calls:

39.0ms	(.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))
12.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
8.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series1.0s (7.7%)

Counts

4 → 12

Calls

4 calls:

766.0ms	(.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)))
101.0ms	(/.f64 1 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
94.0ms	(.f64 (+.f64 (.f64 (+.f64 (*.f64 x y) z) y) 471841060772561/17179869184) y)
63.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4954	4276
1	4954	4276

prune312.0ms (2.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	128	9	137

Merged error: 27.9b

Counts

137 → 9

Compiler

Compiled 9632 to 3976 computations (58.7% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

16.8b	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))
16.8b	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t))
16.8b	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t))
24.4b	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t)) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t))) (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))))

rewrite140.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`times-frac_binary64_1805`
33×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
27×	`cbrt-prod_binary64_1830`
24×	`associate-/r*_binary64_1743`
22×	`cbrt-div_binary64_1831`
16×	`add-exp-log_binary64_1837`
11×	`flip3-+_binary64_1802` `flip-+_binary64_1773`
10×	`add-cbrt-cube_binary64_1835`
8×	`associate-/l/_binary64_1746`
6×	`div-exp_binary64_1850` `cbrt-undiv_binary64_1833`
5×	`associate-/r/_binary64_1745`
4×	`pow1_binary64_1860` `add-log-exp_binary64_1838` `frac-times_binary64_1809`
3×	`pow1/3_binary64_1881` `div-inv_binary64_1796`
2×	`prod-exp_binary64_1848` `associate-r/_binary64_1741` `cbrt-unprod_binary64_1832` `associate-l/_binary64_1742`
1×	`clear-num_binary64_1798` `associate-/l*_binary64_1744` `frac-2neg_binary64_1810`

Counts

4 → 115

Calls

4 calls:

66.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t)) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t))) (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))))
15.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t))
15.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t))
14.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))

series2.0s (15.3%)

Counts

4 → 12

Calls

4 calls:

810.0ms	(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t)) (cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t))) (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 y a)) b)) c)) i) (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))))
456.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t))
455.0ms	(cbrt.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 (+.f64 (.f64 x y) z) y) 471841060772561/17179869184) y) 7925469156333415/34359738368) y) t))
322.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t))

simplify129.0ms (1%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4987	10680
1	4987	10680

prune389.0ms (2.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	127	9	136

Merged error: 27.9b

Counts

136 → 9

Compiler

Compiled 11794 to 4537 computations (61.5% saved)

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.9b	(cbrt.f64 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))
28.4b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
28.4b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
28.4b	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))

rewrite162.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64_1805`
35×	`add-sqr-sqrt_binary64_1821` `add-cube-cbrt_binary64_1834` `*-un-lft-identity_binary64_1799`
15×	`cbrt-prod_binary64_1830`
10×	`add-cbrt-cube_binary64_1835` `add-exp-log_binary64_1837`
9×	`associate-/l_binary64_1744` `associate-/r_binary64_1743`
8×	`associate-/r/_binary64_1745`
7×	`flip3-+_binary64_1802` `flip-+_binary64_1773`
6×	`associate-/l/_binary64_1746`
4×	`pow1_binary64_1860` `add-log-exp_binary64_1838` `div-inv_binary64_1796`
3×	`clear-num_binary64_1798` `div-exp_binary64_1850` `frac-2neg_binary64_1810` `cbrt-undiv_binary64_1833`
1×	`pow1/3_binary64_1881` `cbrt-div_binary64_1831`

Counts

4 → 117

Calls

4 calls:

36.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
32.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
32.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
26.0ms	(cbrt.f64 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))

series2.3s (17.2%)

Counts

4 → 12

Calls

4 calls:

728.0ms	(cbrt.f64 (/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i)))
533.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
524.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))
516.0ms	(/.f64 (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (.f64 x y) z)) 471841060772561/17179869184)) 7925469156333415/34359738368)) t) (+.f64 (.f64 y (+.f64 (.f64 y (+.f64 (*.f64 y (+.f64 y a)) b)) c)) i))

simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4963	8518
1	4963	8518

prune431.0ms (3.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	129	9	138

Merged error: 27.9b

Counts

138 → 9

Compiler

Compiled 15938 to 4577 computations (71.3% saved)

regimes291.0ms (2.2%)

Compiler: Compiled 4654 to 2817 computations (39.5% saved)

bsearch4.0ms (0%)

Compiler: Compiled 33 to 26 computations (21.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	104
1	47	104

end0.0ms (0%)

sample1.4s (10.5%)

Algorithm

1×

intervals

Results

677.0ms	8000×	body	128	valid
25.0ms	255×	body	128	invalid

Compiler

Compiled 612 to 366 computations (40.2% saved)

Details

analyze2.1s (15.9%)

sample39.0ms (0.3%)

simplify291.0ms (2.2%)

prune3.0ms (0%)

localize22.0ms (0.2%)

rewrite77.0ms (0.6%)

series959.0ms (7.2%)

simplify81.0ms (0.6%)

prune745.0ms (5.6%)

localize24.0ms (0.2%)

rewrite92.0ms (0.7%)

series1.0s (7.7%)

simplify103.0ms (0.8%)

prune312.0ms (2.3%)

localize37.0ms (0.3%)

rewrite140.0ms (1%)

series2.0s (15.3%)

simplify129.0ms (1%)

prune389.0ms (2.9%)

localize35.0ms (0.3%)

rewrite162.0ms (1.2%)

series2.3s (17.2%)

simplify123.0ms (0.9%)

prune431.0ms (3.2%)

regimes291.0ms (2.2%)

bsearch4.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.4s (10.5%)

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