Details

analyze1.1s (9.1%)

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%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample84.0ms (0.7%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
22.0ms	292×	body	128	nan
3.0ms	38×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify158.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune3.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.2b	(*.f64 x (log.f64 y))

rewrite57.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-log-exp_binary64_1822`
25×	`sum-log_binary64_1874`
20×	`add-sqr-sqrt_binary64_1805`
18×	`log-prod_binary64_1869`
16×	`*-un-lft-identity_binary64_1783`
14×	`add-cube-cbrt_binary64_1818`
10×	`pow1_binary64_1844`
9×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733`
8×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `associate-r_binary64_1723`
6×	`associate-+r+_binary64_1715` `associate-*l/_binary64_1726`
4×	`frac-add_binary64_1791` `flip-+_binary64_1757` `flip3-+_binary64_1786`
3×	`flip3--_binary64_1787` `flip--_binary64_1758`
2×	`log-pow_binary64_1872` `+-commutative_binary64_1713` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `associate-+l+_binary64_1716` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
1×	`difference-of-squares_binary64_1752` `distribute-lft-out--_binary64_1735`

Counts

4 → 95

Calls

4 calls:

18.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
16.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
8.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))

series3.2s (26.4%)

Counts

4 → 95

Calls

4 calls:

1.6s	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
1.3s	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
172.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
126.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 3226 to 3034 computations (6% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5036	4468

prune217.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	180	10	190
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	181	10	191

Merged error: 0.0b

Counts

191 → 10

Compiler

Compiled 4932 to 1753 computations (64.5% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64_1869`
36×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733`
30×	`cbrt-prod_binary64_1814`
26×	`add-sqr-sqrt_binary64_1805`
24×	`add-cube-cbrt_binary64_1818` `associate-+l+_binary64_1716` `*-un-lft-identity_binary64_1783`
12×	`associate-+r+_binary64_1715`
7×	`pow1_binary64_1844`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822`
5×	`associate-r_binary64_1723`
3×	`associate-l_binary64_1724` `pow1/3_binary64_1865`
2×	`log-pow_binary64_1872`
1×	`+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`

Counts

4 → 102

Calls

4 calls:

11.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
8.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series854.0ms (7.1%)

Counts

4 → 18

Calls

4 calls:

330.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
315.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
110.0ms	(cbrt.f64 y)
98.0ms	(cbrt.f64 y)

Compiler

Compiled 1096 to 1012 computations (7.7% saved)

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4886	1393
1	4886	1393

prune169.0ms (1.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	120	10	130

Merged error: 0.0b

Counts

130 → 10

Compiler

Compiled 4272 to 1943 computations (54.5% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64_1869`
33×	`distribute-lft-in_binary64_1732` `distribute-rgt-in_binary64_1733`
24×	`add-sqr-sqrt_binary64_1805` `cbrt-prod_binary64_1814` `associate-+l+_binary64_1716`
22×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`associate-+r+_binary64_1715`
8×	`associate-*l/_binary64_1726`
7×	`pow1_binary64_1844`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822`
4×	`flip3--_binary64_1787` `frac-add_binary64_1791` `flip--_binary64_1758` `associate-r_binary64_1723`
3×	`associate-l_binary64_1724`
2×	`pow1/3_binary64_1865`
1×	`log-pow_binary64_1872` `+-commutative_binary64_1713` `distribute-lft-out_binary64_1734` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `flip-+_binary64_1757` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`

Counts

4 → 99

Calls

4 calls:

15.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
5.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series1.0s (8.6%)

Counts

4 → 21

Calls

4 calls:

676.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
146.0ms	(*.f64 x (log.f64 y))
113.0ms	(cbrt.f64 c)
103.0ms	(cbrt.f64 c)

Compiler

Compiled 1271 to 1149 computations (9.6% saved)

simplify51.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5867	1622

prune182.0ms (1.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	118	2	120
Fresh	1	7	8
Picked	1	0	1
Done	0	1	1
Total	120	10	130

Merged error: 0.0b

Counts

130 → 10

Compiler

Compiled 4500 to 1896 computations (57.9% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 (*.f64 (cbrt.f64 c) (cbrt.f64 c)))
0.6b	(cbrt.f64 (cbrt.f64 c))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`cbrt-prod_binary64_1814`
8×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `pow1/3_binary64_1865` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

4 → 45

Calls

4 calls:

4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 c) (cbrt.f64 c)))
2.0ms	(cbrt.f64 (cbrt.f64 c))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series476.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

148.0ms	(cbrt.f64 (*.f64 (cbrt.f64 c) (cbrt.f64 c)))
133.0ms	(cbrt.f64 (cbrt.f64 c))
101.0ms	(cbrt.f64 c)
95.0ms	(cbrt.f64 c)

Compiler

Compiled 1106 to 950 computations (14.1% saved)

simplify39.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5316	420

prune90.0ms (0.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	57	0	57
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	57	10	67

Merged error: 0.0b

Counts

67 → 10

Compiler

Compiled 2625 to 1045 computations (60.2% saved)

regimes791.0ms (6.5%)

Compiler: Compiled 9752 to 8486 computations (13% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	32
1	39	32

end0.0ms (0%)

sample3.2s (26.5%)

Algorithm

1×

intervals

Results

765.0ms	9676×	body	128	nan
725.0ms	7994×	body	128	valid
117.0ms	1234×	body	128	invalid
1.0ms	4×	body	512	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 849 to 737 computations (13.2% saved)

Details

analyze1.1s (9.1%)

sample84.0ms (0.7%)

simplify158.0ms (1.3%)

prune3.0ms (0%)

localize18.0ms (0.1%)

rewrite57.0ms (0.5%)

series3.2s (26.4%)

simplify86.0ms (0.7%)

prune217.0ms (1.8%)

localize23.0ms (0.2%)

rewrite35.0ms (0.3%)

series854.0ms (7.1%)

simplify97.0ms (0.8%)

prune169.0ms (1.4%)

localize26.0ms (0.2%)

rewrite36.0ms (0.3%)

series1.0s (8.6%)

simplify51.0ms (0.4%)

prune182.0ms (1.5%)

localize34.0ms (0.3%)

rewrite14.0ms (0.1%)

series476.0ms (3.9%)

simplify39.0ms (0.3%)

prune90.0ms (0.7%)

regimes791.0ms (6.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.2s (26.5%)

Profiling