Details

analyze244.0ms (5.9%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	49.9%	50.1%	5
0%	43.7%	56.3%	6
0%	34.3%	65.7%	7
3.1%	31.2%	65.7%	8
3.5%	27.7%	68.8%	9
5.3%	24.4%	70.4%	10
7.5%	19.8%	72.7%	11
11.1%	16.2%	72.7%	12
11.3%	15.3%	73.5%	13
13.2%	13%	73.9%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
1.0ms	14×	body	128	nan
0.0ms	2×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify191.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	496	17
1	496	17

prune2.0ms (0.1%)

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 22 to 20 computations (9.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x (log.f64 y)) y)
0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
0.0b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
0.2b	(*.f64 x (log.f64 y))

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`associate--l+_binary64_1701`
27×	`log-prod_binary64_1845`
25×	`*-un-lft-identity_binary64_1762`
19×	`add-sqr-sqrt_binary64_1783`
17×	`add-log-exp_binary64_1798`
15×	`add-cube-cbrt_binary64_1794`
12×	`distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713`
9×	`pow1_binary64_1820`
8×	`associate-+l+_binary64_1697`
7×	`diff-log_binary64_1851`
6×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
5×	`sub-neg_binary64_1755`
4×	`distribute-lft-out_binary64_1715` `associate-r_binary64_1704`
3×	`log-pow_binary64_1848` `distribute-lft-out--_binary64_1716` `associate-+r+_binary64_1696` `associate-l_binary64_1705` `sum-log_binary64_1850`
2×	`flip3--_binary64_1766` `flip--_binary64_1737`
1×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `flip3-+_binary64_1765` `flip-+_binary64_1736` `unswap-sqr_binary64_1730` `+-commutative_binary64_1694` `difference-of-squares_binary64_1731` `cbrt-unprod_binary64_1792` `*-commutative_binary64_1695` `associate-+l-_binary64_1699` `associate--l-_binary64_1702`

Counts

4 → 93

Calls

4 calls:

15.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
12.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
6.0ms	(*.f64 x (log.f64 y))
5.0ms	(-.f64 (*.f64 x (log.f64 y)) y)

series275.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

84.0ms	(-.f64 (*.f64 x (log.f64 y)) y)
83.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 t))
57.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
50.0ms	(*.f64 x (log.f64 y))

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5303	1525

prune89.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

Compiler

Compiled 1805 to 444 computations (75.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 (sqrt.f64 t)))
0.0b	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
0.0b	(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 (sqrt.f64 t))) (log.f64 (sqrt.f64 t)))
0.2b	(*.f64 x (log.f64 y))

rewrite62.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_1762`
30×	`log-prod_binary64_1845`
26×	`associate--l+_binary64_1701`
22×	`add-log-exp_binary64_1798` `distribute-lft-out_binary64_1715`
20×	`add-sqr-sqrt_binary64_1783`
18×	`pow1_binary64_1820`
16×	`add-cube-cbrt_binary64_1794`
12×	`log-pow_binary64_1848` `associate-+r+_binary64_1696`
10×	`sum-log_binary64_1850`
9×	`diff-log_binary64_1851` `distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713` `associate-+l+_binary64_1697`
7×	`distribute-lft-out--_binary64_1716`
6×	`sqrt-prod_binary64_1777` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
4×	`sub-neg_binary64_1755` `associate-r_binary64_1704`
3×	`associate-+l-_binary64_1699` `associate-l_binary64_1705`
2×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `+-commutative_binary64_1694`
1×	`flip3--_binary64_1766` `pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `unswap-sqr_binary64_1730` `difference-of-squares_binary64_1731` `cbrt-unprod_binary64_1792` `flip--_binary64_1737` `*-commutative_binary64_1695` `associate--l-_binary64_1702`

Counts

4 → 111

Calls

4 calls:

20.0ms	(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 (sqrt.f64 t))) (log.f64 (sqrt.f64 t)))
16.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 (sqrt.f64 t)))
10.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)
5.0ms	(*.f64 x (log.f64 y))

series330.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(+.f64 (+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 (sqrt.f64 t))) (log.f64 (sqrt.f64 t)))
100.0ms	(+.f64 (-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z) (log.f64 (sqrt.f64 t)))
58.0ms	(*.f64 x (log.f64 y))
55.0ms	(-.f64 (-.f64 (*.f64 x (log.f64 y)) y) z)

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4988	2221
1	4988	2221

prune99.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	123	6	129

Merged error: 0.0b

Counts

129 → 6

Compiler

Compiled 2597 to 575 computations (77.9% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_1845`
18×	`cbrt-prod_binary64_1790` `add-sqr-sqrt_binary64_1783`
16×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
12×	`distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713` `associate-+r+_binary64_1696`
7×	`pow1_binary64_1820`
6×	`add-log-exp_binary64_1798` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
5×	`associate-r_binary64_1704`
3×	`pow1/3_binary64_1841` `associate-l_binary64_1705`
2×	`log-pow_binary64_1848`
1×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `flip3-+_binary64_1765` `flip-+_binary64_1736` `unswap-sqr_binary64_1730` `+-commutative_binary64_1694` `cbrt-unprod_binary64_1792` `*-commutative_binary64_1695` `distribute-lft-out_binary64_1715` `sum-log_binary64_1850`

Counts

4 → 78

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series561.0ms (13.4%)

Counts

4 → 12

Calls

4 calls:

161.0ms	(cbrt.f64 y)
150.0ms	(cbrt.f64 y)
137.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
113.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify101.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4910	970
1	4910	970

prune95.0ms (2.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	90	6	96

Merged error: 0b

Counts

96 → 6

Compiler

Compiled 2162 to 907 computations (58% saved)

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite26.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64_1845` `add-sqr-sqrt_binary64_1783` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `associate-+r+_binary64_1696`
10×	`add-exp-log_binary64_1797` `pow1_binary64_1820`
9×	`cbrt-prod_binary64_1790` `add-cbrt-cube_binary64_1795`
6×	`add-log-exp_binary64_1798` `distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713`
3×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `pow-unpow_binary64_1836` `associate-l_binary64_1705` `unpow-prod-down_binary64_1838`
1×	`sqr-pow_binary64_1734` `pow1/3_binary64_1841` `flip3-+_binary64_1765` `flip-+_binary64_1736` `unpow1/3_binary64_1826` `+-commutative_binary64_1694` `pow-exp_binary64_1827` `pow-pow_binary64_1831` `-commutative_binary64_1695` `distribute-lft-out_binary64_1715` `pow-to-exp_binary64_1828` `sum-log_binary64_1850` `associate-r*_binary64_1704`

Counts

4 → 71

Calls

4 calls:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))
3.0ms	(pow.f64 y 1/3)
1.0ms	(cbrt.f64 y)

series606.0ms (14.5%)

Counts

4 → 12

Calls

4 calls:

187.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
168.0ms	(cbrt.f64 y)
138.0ms	(pow.f64 y 1/3)
113.0ms	(.f64 x (.f64 (log.f64 (pow.f64 y 1/3)) 2))

simplify94.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4937	673
1	4937	673

prune81.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	0	83
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	83	6	89

Merged error: 0b

Counts

89 → 6

Compiler

Compiled 1785 to 803 computations (55% saved)

regimes123.0ms (3%)

Compiler: Compiled 897 to 684 computations (23.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	26
1	34	26

end0.0ms (0%)

sample896.0ms (21.5%)

Algorithm

1×

intervals

Results

496.0ms	7998×	body	128	valid
18.0ms	411×	body	128	nan
2.0ms	28×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 138 to 105 computations (23.9% saved)

Details

analyze244.0ms (5.9%)

sample28.0ms (0.7%)

simplify191.0ms (4.6%)

prune2.0ms (0.1%)

localize10.0ms (0.2%)

rewrite46.0ms (1.1%)

series275.0ms (6.6%)

simplify65.0ms (1.6%)

prune89.0ms (2.1%)

localize13.0ms (0.3%)

rewrite62.0ms (1.5%)

series330.0ms (7.9%)

simplify63.0ms (1.5%)

prune99.0ms (2.4%)

localize18.0ms (0.4%)

rewrite26.0ms (0.6%)

series561.0ms (13.4%)

simplify101.0ms (2.4%)

prune95.0ms (2.3%)

localize26.0ms (0.6%)

rewrite26.0ms (0.6%)

series606.0ms (14.5%)

simplify94.0ms (2.3%)

prune81.0ms (1.9%)

regimes123.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample896.0ms (21.5%)

Profiling