Details

analyze1.1s (13.6%)

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)

sample89.0ms (1.1%)

Algorithm

1×

intervals

Results

29.0ms	346×	body	128	nan
22.0ms	256×	body	128	valid
4.0ms	43×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify212.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

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)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite47.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-log-exp_binary64_1798`
20×	`add-sqr-sqrt_binary64_1783`
18×	`log-prod_binary64_1845` `*-un-lft-identity_binary64_1762`
14×	`add-cube-cbrt_binary64_1794`
13×	`sum-log_binary64_1850`
10×	`pow1_binary64_1820`
9×	`distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713`
8×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `associate-l_binary64_1705` `associate-r_binary64_1704`
6×	`associate-*l/_binary64_1707` `associate-+r+_binary64_1696`
4×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `frac-add_binary64_1770`
3×	`flip3--_binary64_1766` `flip--_binary64_1737`
2×	`pow-prod-down_binary64_1830` `log-pow_binary64_1848` `prod-exp_binary64_1808` `unswap-sqr_binary64_1730` `+-commutative_binary64_1694` `cbrt-unprod_binary64_1792` `*-commutative_binary64_1695` `associate-+l+_binary64_1697`
1×	`distribute-lft-out--_binary64_1716` `difference-of-squares_binary64_1731` `distribute-lft-out_binary64_1715`

Counts

4 → 93

Calls

4 calls:

17.0ms	(+.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))
8.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
5.0ms	(*.f64 x (log.f64 y))

series626.0ms (7.7%)

Counts

4 → 12

Calls

4 calls:

429.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
77.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
69.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
50.0ms	(*.f64 x (log.f64 y))

simplify63.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4992	2109
1	4992	2109

prune132.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	98	7	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

Compiler

Compiled 3182 to 1187 computations (62.7% saved)

localize24.0ms (0.3%)

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)

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64_1845`
33×	`distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713`
24×	`cbrt-prod_binary64_1790` `add-sqr-sqrt_binary64_1783` `associate-+l+_binary64_1697`
22×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
12×	`associate-+r+_binary64_1696`
8×	`associate-*l/_binary64_1707`
7×	`pow1_binary64_1820`
6×	`add-log-exp_binary64_1798` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797`
4×	`flip3--_binary64_1766` `flip--_binary64_1737` `frac-add_binary64_1770` `associate-r_binary64_1704`
3×	`associate-l_binary64_1705`
2×	`pow1/3_binary64_1841`
1×	`pow-prod-down_binary64_1830` `log-pow_binary64_1848` `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 → 99

Calls

4 calls:

16.0ms	(+.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)

series607.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

241.0ms	(+.f64 (.f64 (-.f64 b 1/2) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 1/2) (log.f64 (cbrt.f64 c))))
170.0ms	(cbrt.f64 c)
146.0ms	(cbrt.f64 c)
49.0ms	(*.f64 x (log.f64 y))

simplify44.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5401	1542

prune174.0ms (2.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	113	5	118

Merged error: 0.0b

Counts

118 → 5

Compiler

Compiled 4118 to 1719 computations (58.3% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(log.f64 (*.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1)))
0.2b	(*.f64 x (log.f64 y))
0.3b	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1))) (+.f64 (*.f64 b 3) -3/2))
0.6b	(cbrt.f64 (neg.f64 c))

rewrite36.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_1783`
15×	`pow1_binary64_1820`
13×	`*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
11×	`add-exp-log_binary64_1797`
10×	`cbrt-prod_binary64_1790`
9×	`associate-l_binary64_1705`
8×	`add-cbrt-cube_binary64_1795`
7×	`log-prod_binary64_1845` `log-pow_binary64_1848` `associate-r_binary64_1704`
6×	`pow-prod-down_binary64_1830`
5×	`pow1/3_binary64_1841`
4×	`add-log-exp_binary64_1798` `distribute-rgt-in_binary64_1714` `distribute-lft-in_binary64_1713`
3×	`distribute-lft-neg-in_binary64_1721` `prod-exp_binary64_1808` `distribute-rgt-neg-in_binary64_1722`
2×	`unswap-sqr_binary64_1730` `associate-r/_binary64_1706` `cbrt-unprod_binary64_1792` `-commutative_binary64_1695` `rem-log-exp_binary64_1800`
1×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `neg-mul-1_binary64_1758`

Counts

4 → 81

Calls

4 calls:

12.0ms	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1))) (+.f64 (*.f64 b 3) -3/2))
5.0ms	(log.f64 (*.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1)))
5.0ms	(*.f64 x (log.f64 y))
2.0ms	(cbrt.f64 (neg.f64 c))

series860.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

333.0ms	(log.f64 (*.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1)))
316.0ms	(.f64 (log.f64 (.f64 (cbrt.f64 (neg.f64 c)) (cbrt.f64 -1))) (+.f64 (*.f64 b 3) -3/2))
165.0ms	(cbrt.f64 (neg.f64 c))
47.0ms	(*.f64 x (log.f64 y))

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5377	1307

prune139.0ms (1.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	93	5	98

Merged error: 0.0b

Counts

98 → 5

Compiler

Compiled 3135 to 1511 computations (51.8% saved)

localize29.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_1790`
10×	`add-sqr-sqrt_binary64_1783` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
4×	`pow1/3_binary64_1841` `add-log-exp_binary64_1798` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`

Counts

4 → 50

Calls

4 calls:

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

series749.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt.f64 (cbrt.f64 c))
218.0ms	(cbrt.f64 (cbrt.f64 c))
157.0ms	(cbrt.f64 c)
150.0ms	(cbrt.f64 c)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4793	466
1	4793	466

prune96.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	62	5	67

Merged error: 0.0b

Counts

67 → 5

Compiler

Compiled 2570 to 935 computations (63.6% saved)

regimes218.0ms (2.7%)

Compiler: Compiled 1813 to 1808 computations (0.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	44
1	45	44

end0.0ms (0%)

sample2.7s (32.8%)

Algorithm

1×

intervals

Results

762.0ms	10133×	body	128	nan
725.0ms	7998×	body	128	valid
114.0ms	1290×	body	128	invalid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 193 to 184 computations (4.7% saved)

Details

analyze1.1s (13.6%)

sample89.0ms (1.1%)

simplify212.0ms (2.6%)

prune3.0ms (0%)

localize20.0ms (0.2%)

rewrite47.0ms (0.6%)

series626.0ms (7.7%)

simplify63.0ms (0.8%)

prune132.0ms (1.6%)

localize24.0ms (0.3%)

rewrite38.0ms (0.5%)

series607.0ms (7.5%)

simplify44.0ms (0.5%)

prune174.0ms (2.1%)

localize24.0ms (0.3%)

rewrite36.0ms (0.4%)

series860.0ms (10.6%)

simplify50.0ms (0.6%)

prune139.0ms (1.7%)

localize29.0ms (0.4%)

rewrite12.0ms (0.1%)

series749.0ms (9.2%)

simplify69.0ms (0.9%)

prune96.0ms (1.2%)

regimes218.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.7s (32.8%)

Profiling