Details

analyze271.0ms (4.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5024	18
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Symmetry

(sort a x)

Compiler

Compiled 7 to 7 computations (0% saved)

sample54.0ms (0.9%)

Algorithm

1×

intervals

Results

19.0ms	52×	body	2048	valid
9.0ms	55×	body	1024	valid
4.0ms	36×	body	512	valid
3.0ms	88×	body	128	valid
2.0ms	25×	body	256	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4875	9
1	4875	9

prune2.0ms (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

Error

30.5b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
4.5b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite57.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

30.3b

Rules

7×	`add-sqr-sqrt_binary64_1805`
6×	`add-log-exp_binary64_1822` `*-un-lft-identity_binary64_1783`
3×	`add-cube-cbrt_binary64_1818` `cancel-sign-sub-inv_binary64_1749`
2×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `difference-of-squares_binary64_1752`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-sqr-1_binary64_1753` `distribute-lft-out--_binary64_1735` `exp-to-pow_binary64_1845` `exp-prod_binary64_1835` `rem-exp-log_binary64_1823`

Counts

2 → 28

Calls

2 calls:

4.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
1.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 346 to 156 computations (54.9% saved)

series104.0ms (1.7%)

Error

0.2b

Counts

2 → 24

Calls

2 calls:

50.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
33.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 648 to 510 computations (21.3% saved)

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4917	652
1	4917	652

prune56.0ms (0.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Error

0.1b

Counts

53 → 6

Compiler

Compiled 636 to 316 computations (50.3% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.1b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune5.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Error

0.1b

Counts

6 → 6

Compiler

Compiled 79 to 58 computations (26.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 1/6 (pow.f64 (.f64 a x) 3))
0.8b	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
7.4b	(.f64 a (.f64 x x))
9.0b	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))

rewrite198.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-exp-log_binary64_1821`
15×	`add-sqr-sqrt_binary64_1805`
13×	`add-cbrt-cube_binary64_1819`
12×	`associate-r_binary64_1723`
11×	`pow1_binary64_1844`
9×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `prod-exp_binary64_1832` `associate-l*_binary64_1724`
6×	`add-log-exp_binary64_1822`
5×	`cbrt-unprod_binary64_1816`
4×	`pow-prod-down_binary64_1854` `unswap-sqr_binary64_1751`
3×	`*-commutative_binary64_1714`
2×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `associate-*r/_binary64_1725` `pow-exp_binary64_1851` `sqr-pow_binary64_1755`
1×	`sum-log_binary64_1874` `+-commutative_binary64_1713` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `pow-to-exp_binary64_1852` `unpow-prod-down_binary64_1862` `unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811`

Counts

4 → 78

Calls

4 calls:

11.0ms	(.f64 1/6 (pow.f64 (.f64 a x) 3))
6.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
6.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
6.0ms	(.f64 a (.f64 x x))

Compiler

Compiled 2787 to 1496 computations (46.3% saved)

series822.0ms (13.2%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

330.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
203.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
141.0ms	(.f64 1/6 (pow.f64 (.f64 a x) 3))
80.0ms	(.f64 a (.f64 x x))

Compiler

Compiled 2616 to 1843 computations (29.5% saved)

simplify72.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5024	1659

prune188.0ms (3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	4	4
Picked	0	1	1
Done	1	0	1
Total	114	6	120

Error

0.1b

Counts

120 → 6

Compiler

Compiled 3546 to 1934 computations (45.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 a x) 2)
0.3b	(.f64 1/6 (pow.f64 (.f64 a x) 3))
3.0b	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
9.0b	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))

rewrite168.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`add-exp-log_binary64_1821`
10×	`add-sqr-sqrt_binary64_1805`
8×	`add-log-exp_binary64_1822` `associate-r_binary64_1723`
7×	`pow1_binary64_1844` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`add-cbrt-cube_binary64_1819` `prod-exp_binary64_1832`
4×	`pow-exp_binary64_1851`
3×	`sqr-pow_binary64_1755` `associate-l_binary64_1724` `pow-unpow_binary64_1860`
2×	`sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713` `pow-to-exp_binary64_1852` `unswap-sqr_binary64_1751` `unpow-prod-down_binary64_1862` `pow-pow_binary64_1855`
1×	`cbrt-unprod_binary64_1816` `unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811` `*-commutative_binary64_1714` `pow-prod-down_binary64_1854` `unpow2_binary64_1848`

Counts

4 → 66

Calls

4 calls:

6.0ms	(.f64 1/6 (pow.f64 (.f64 a x) 3))
6.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
4.0ms	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
4.0ms	(pow.f64 (*.f64 a x) 2)

Compiler

Compiled 2360 to 1374 computations (41.8% saved)

series779.0ms (12.5%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

348.0ms	(+.f64 (.f64 1/6 (pow.f64 (.f64 a x) 3)) (.f64 1/24 (pow.f64 (.f64 a x) 4)))
162.0ms	(+.f64 (.f64 a x) (.f64 1/2 (pow.f64 (*.f64 a x) 2)))
131.0ms	(.f64 1/6 (pow.f64 (.f64 a x) 3))
69.0ms	(pow.f64 (*.f64 a x) 2)

Compiler

Compiled 2652 to 1865 computations (29.7% saved)

simplify89.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4934	1458
1	4934	1458

prune159.0ms (2.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	102	6	108

Error

0.1b

Counts

108 → 6

Compiler

Compiled 3048 to 1741 computations (42.9% saved)

regimes558.0ms (9%)

Accuracy

Total 0.2b remaining (88.7%)

Threshold costs 0.2b (88.7%)

Compiler

Compiled 3452 to 2507 computations (27.4% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	70
1	47	70

Compiler

Compiled 92 to 52 computations (43.5% saved)

end0.0ms (0%)

sample2.4s (39.1%)

Algorithm

1×

intervals

Results

510.0ms	1413×	body	2048	valid
352.0ms	1761×	body	1024	valid
116.0ms	1072×	body	512	valid
93.0ms	3129×	body	128	valid
41.0ms	625×	body	256	valid
5.0ms	164×	body	128	invalid

Compiler

Compiled 646 to 458 computations (29.1% saved)

Details

analyze271.0ms (4.4%)

sample54.0ms (0.9%)

simplify78.0ms (1.3%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite57.0ms (0.9%)

series104.0ms (1.7%)

simplify73.0ms (1.2%)

prune56.0ms (0.9%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune5.0ms (0.1%)

localize20.0ms (0.3%)

rewrite198.0ms (3.2%)

series822.0ms (13.2%)

simplify72.0ms (1.1%)

prune188.0ms (3%)

localize14.0ms (0.2%)

rewrite168.0ms (2.7%)

series779.0ms (12.5%)

simplify89.0ms (1.4%)

prune159.0ms (2.6%)

regimes558.0ms (9%)

bsearch2.0ms (0%)

simplify12.0ms (0.2%)

end0.0ms (0%)

sample2.4s (39.1%)

Profiling