Details

analyze1.6s (10.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	691	638
1	691	638
0	8	8
1	8	8

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 16 to 16 computations (0% saved)

sample48.0ms (0.3%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
7.0ms	138×	body	128	invalid

Compiler

Compiled 31 to 39 computations (-25.8% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	67	22
1	67	22

prune4.0ms (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

0.0b

Counts

2 → 1

Compiler

Compiled 30 to 30 computations (0% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-log-exp_binary64_1822`
10×	`sum-log_binary64_1874`
3×	`add-cbrt-cube_binary64_1819` `+-commutative_binary64_1713` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `flip-+_binary64_1757` `*-un-lft-identity_binary64_1783` `flip3-+_binary64_1786` `pow1_binary64_1844`
2×	`associate-+l+_binary64_1716`

Counts

3 → 38

Calls

3 calls:

10.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
7.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
4.0ms	(+.f64 (.f64 x y) (.f64 z t))

series569.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

460.0ms	(+.f64 (+.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 a b)) (.f64 c i))
74.0ms	(+.f64 (+.f64 (.f64 x y) (.f64 z t)) (*.f64 a b))
35.0ms	(+.f64 (.f64 x y) (.f64 z t))

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5206	1004

prune41.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	3	48

Error

0.0b

Counts

48 → 3

Compiler

Compiled 1086 to 185 computations (83% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))) (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))))
0.5b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
0.5b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
0.5b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))

rewrite63.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_1814`
23×	`add-sqr-sqrt_binary64_1805`
18×	`cbrt-div_binary64_1815`
15×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
11×	`pow1_binary64_1844`
9×	`flip-+_binary64_1757` `flip3-+_binary64_1786` `pow1/3_binary64_1865`
6×	`swap-sqr_binary64_1750` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `associate-r_binary64_1723`
4×	`add-cbrt-cube_binary64_1819` `frac-times_binary64_1793` `unswap-sqr_binary64_1751` `add-log-exp_binary64_1822`
2×	`associate-r/_binary64_1725` `pow-prod-up_binary64_1853` `associate-l/_binary64_1726` `pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
1×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `pow-plus_binary64_1846` `*-commutative_binary64_1714` `pow2_binary64_1864`

Counts

4 → 87

Calls

4 calls:

23.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))) (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))))
9.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
8.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
8.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))

series770.0ms (5%)

Counts

4 → 12

Calls

4 calls:

261.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))) (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))))
175.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
170.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
163.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))

simplify96.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4908	3848
1	4908	3848

prune128.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	96	6	102

Error

Counts

102 → 6

Compiler

Compiled 6015 to 560 computations (90.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
0.5b	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))))
0.5b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))))

rewrite49.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64_1814`
12×	`cbrt-div_binary64_1815`
10×	`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` `flip-+_binary64_1757` `flip3-+_binary64_1786` `pow1/3_binary64_1865` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

4 → 58

Calls

4 calls:

10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))))
10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))))
9.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
9.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))

series657.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))))
170.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))))
160.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
153.0ms	(cbrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))

simplify71.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5068	2400

prune122.0ms (0.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	70	6	76

Error

Counts

76 → 6

Compiler

Compiled 5789 to 560 computations (90.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))
0.0b	(sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
0.0b	(sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))) (sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))))

rewrite66.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_1805`
24×	`sqrt-prod_binary64_1799`
21×	`pow1_binary64_1844`
16×	`sqrt-div_binary64_1800`
14×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
13×	`add-log-exp_binary64_1822`
10×	`pow1/2_binary64_1863` `sqrt-pow1_binary64_1801`
9×	`flip-+_binary64_1757` `flip3-+_binary64_1786`
8×	`swap-sqr_binary64_1750`
6×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821` `associate-l_binary64_1724` `sum-log_binary64_1874` `associate-r_binary64_1723`
5×	`pow-prod-up_binary64_1853`
4×	`frac-times_binary64_1793` `unswap-sqr_binary64_1751` `rem-sqrt-square_binary64_1796`
3×	`pow-sqr_binary64_1756` `pow-prod-down_binary64_1854`
2×	`associate-r/_binary64_1725` `associate-l/_binary64_1726`
1×	`associate-+r+_binary64_1715` `+-commutative_binary64_1713` `cbrt-unprod_binary64_1816` `prod-exp_binary64_1832` `sqrt-unprod_binary64_1803` `pow-plus_binary64_1846` `*-commutative_binary64_1714` `rem-square-sqrt_binary64_1795` `sqr-abs_binary64_1798` `pow2_binary64_1864`

Counts

4 → 102

Calls

4 calls:

25.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))) (sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))))
10.0ms	(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))
8.0ms	(sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
8.0ms	(sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))

series8.3s (54%)

Counts

4 → 12

Calls

4 calls:

3.9s	(sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
3.9s	(sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t)))))
254.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))) (sqrt.f64 (+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (*.f64 z t))))))
250.0ms	(+.f64 (.f64 c i) (+.f64 (.f64 a b) (+.f64 (.f64 x y) (.f64 z t))))

simplify61.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	6057	3944

prune111.0ms (0.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	1	1	2
Picked	0	1	1
Done	0	3	3
Total	114	6	120

Error

Counts

120 → 6

Compiler

Compiled 4494 to 399 computations (91.1% saved)

regimes581.0ms (3.8%)

Accuracy

Total 0.0b remaining (52.8%)

Threshold costs 0.0b (52.8%)

Compiler

Compiled 8926 to 4883 computations (45.3% saved)

bsearch0.0ms (0%)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	22
1	23	22

Compiler

Compiled 120 to 120 computations (0% saved)

end0.0ms (0%)

sample1.9s (12.1%)

Algorithm

1×

intervals

Results

406.0ms	8000×	body	128	valid
304.0ms	5495×	body	128	invalid

Compiler

Compiled 619 to 346 computations (44.1% saved)

Details

analyze1.6s (10.3%)

sample48.0ms (0.3%)

simplify8.0ms (0.1%)

prune4.0ms (0%)

localize19.0ms (0.1%)

rewrite24.0ms (0.2%)

series569.0ms (3.7%)

simplify66.0ms (0.4%)

prune41.0ms (0.3%)

localize21.0ms (0.1%)

rewrite63.0ms (0.4%)

series770.0ms (5%)

simplify96.0ms (0.6%)

prune128.0ms (0.8%)

localize26.0ms (0.2%)

rewrite49.0ms (0.3%)

series657.0ms (4.3%)

simplify71.0ms (0.5%)

prune122.0ms (0.8%)

localize19.0ms (0.1%)

rewrite66.0ms (0.4%)

series8.3s (54%)

simplify61.0ms (0.4%)

prune111.0ms (0.7%)

regimes581.0ms (3.8%)

bsearch0.0ms (0%)

simplify19.0ms (0.1%)

end0.0ms (0%)

sample1.9s (12.1%)

Profiling