Details

analyze245.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5092	50
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	50%	25.1%	6
25%	31.2%	43.8%	7
25%	21.9%	53.2%	8
25%	14%	61%	9
28.1%	10.9%	61%	10
31.6%	7.4%	61%	11
33.4%	5.7%	61%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Symmetry

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify42.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5126	25

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.1b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a a) (.f64 b b))
0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite92.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

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

Counts

4 → 59

Calls

4 calls:

9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
6.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
4.0ms	(+.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 1523 to 667 computations (56.2% saved)

series709.0ms (13.1%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

354.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
187.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
90.0ms	(+.f64 (.f64 a a) (.f64 b b))
26.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune99.0ms (1.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	3	111

Error

0.0b

Counts

111 → 3

Compiler

Compiled 2227 to 1081 computations (51.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
0.0b	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
1.4b	(.f64 (.f64 a a) (*.f64 b b))

rewrite168.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

37×	`pow1_binary64_1844`
21×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
18×	`add-log-exp_binary64_1822`
17×	`pow-prod-down_binary64_1854`
11×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
9×	`sum-log_binary64_1874`
6×	`add-sqr-sqrt_binary64_1805`
5×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
4×	`pow-prod-up_binary64_1853` `pow-plus_binary64_1846` `associate-l_binary64_1724`
2×	`pow2_binary64_1864` `pow-sqr_binary64_1756` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`
1×	`associate-+l+_binary64_1716` `associate-+r+_binary64_1715`

Counts

4 → 75

Calls

4 calls:

25.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
18.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
8.0ms	(.f64 (.f64 a a) (*.f64 b b))
5.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2592 to 1394 computations (46.2% saved)

series817.0ms (15.1%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

357.0ms	(+.f64 (+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
306.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
79.0ms	(.f64 (.f64 a a) (*.f64 b b))
29.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2259 to 1840 computations (18.5% saved)

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4972	2041
1	4972	2041

prune134.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	120	3	123

Error

0.0b

Counts

123 → 3

Compiler

Compiled 3100 to 1762 computations (43.2% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 4 (.f64 b b))) (cbrt.f64 (.f64 4 (*.f64 b b))))
25.1b	(cbrt.f64 (.f64 4 (.f64 b b)))
25.1b	(cbrt.f64 (.f64 4 (.f64 b b)))
25.1b	(cbrt.f64 (.f64 4 (.f64 b b)))

rewrite113.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

11×	`pow1_binary64_1844`
10×	`add-sqr-sqrt_binary64_1805`
9×	`pow1/3_binary64_1865`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`cbrt-prod_binary64_1814`
6×	`add-exp-log_binary64_1821`
4×	`add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`pow-prod-down_binary64_1854` `pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
1×	`pow2_binary64_1864` `pow-plus_binary64_1846` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`

Counts

4 → 58

Calls

4 calls:

6.0ms	(cbrt.f64 (.f64 4 (.f64 b b)))
6.0ms	(.f64 (cbrt.f64 (.f64 4 (.f64 b b))) (cbrt.f64 (.f64 4 (*.f64 b b))))
4.0ms	(cbrt.f64 (.f64 4 (.f64 b b)))
4.0ms	(cbrt.f64 (.f64 4 (.f64 b b)))

Compiler

Compiled 2209 to 1181 computations (46.5% saved)

series433.0ms (8%)

Error

0.0b

Counts

4 → 12

Calls

4 calls:

118.0ms	(.f64 (cbrt.f64 (.f64 4 (.f64 b b))) (cbrt.f64 (.f64 4 (*.f64 b b))))
104.0ms	(cbrt.f64 (.f64 4 (.f64 b b)))
100.0ms	(cbrt.f64 (.f64 4 (.f64 b b)))
95.0ms	(cbrt.f64 (.f64 4 (.f64 b b)))

Compiler

Compiled 1179 to 827 computations (29.9% saved)

simplify49.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4954	724
1	4954	724

prune95.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	70	3	73

Error

0.0b

Counts

73 → 3

Compiler

Compiled 2316 to 1231 computations (46.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
25.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

rewrite96.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-sqr-sqrt_binary64_1805`
9×	`add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
7×	`cbrt-prod_binary64_1814`
6×	`add-log-exp_binary64_1822` `unpow-prod-down_binary64_1862`
3×	`pow-unpow_binary64_1860` `pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
2×	`sqr-pow_binary64_1755`
1×	`pow1/3_binary64_1865` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

4 → 62

Calls

4 calls:

8.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
5.0ms	(.f64 4 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
4.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))

Compiler

Compiled 1704 to 807 computations (52.6% saved)

series662.0ms (12.2%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

362.0ms	(+.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)) (.f64 4 (.f64 b b)))
192.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6))
43.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6)
24.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2022 to 1663 computations (17.8% saved)

simplify79.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5012	1683

prune96.0ms (1.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	107	3	110

Error

0.0b

Counts

110 → 3

Compiler

Compiled 2164 to 1102 computations (49.1% saved)

regimes275.0ms (5.1%)

Accuracy

Total 0.0b remaining (59.6%)

Threshold costs 0.0b (59.6%)

Compiler

Compiled 3891 to 2461 computations (36.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	37
1	33	37

Removed

()

end0.0ms (0%)

sample978.0ms (18.1%)

Algorithm

1×

intervals

Results

328.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 529 to 343 computations (35.2% saved)

Details

analyze245.0ms (4.5%)

sample20.0ms (0.4%)

simplify42.0ms (0.8%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite92.0ms (1.7%)

series709.0ms (13.1%)

simplify98.0ms (1.8%)

prune99.0ms (1.8%)

localize13.0ms (0.2%)

rewrite168.0ms (3.1%)

series817.0ms (15.1%)

simplify64.0ms (1.2%)

prune134.0ms (2.5%)

localize13.0ms (0.2%)

rewrite113.0ms (2.1%)

series433.0ms (8%)

simplify49.0ms (0.9%)

prune95.0ms (1.8%)

localize11.0ms (0.2%)

rewrite96.0ms (1.8%)

series662.0ms (12.2%)

simplify79.0ms (1.5%)

prune96.0ms (1.8%)

regimes275.0ms (5.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample978.0ms (18.1%)

Profiling