Details

analyze304.0ms (6.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	86
1	4923	86
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%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample25.0ms (0.5%)

Algorithm

1×

intervals

Results

15.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify79.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

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

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.2b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite206.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

19×	`add-sqr-sqrt_binary64_1805`
18×	`associate-*r/_binary64_1725`
17×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `*-un-lft-identity_binary64_1783`
16×	`add-cbrt-cube_binary64_1819`
13×	`associate-r_binary64_1723`
12×	`add-cube-cbrt_binary64_1818`
7×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
6×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `cancel-sign-sub-inv_binary64_1749`
5×	`associate-l_binary64_1724`
4×	`add-log-exp_binary64_1822` `flip3-+_binary64_1786` `flip-+_binary64_1757` `frac-add_binary64_1791`
3×	`unswap-sqr_binary64_1751` `*-commutative_binary64_1714` `unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860` `flip3--_binary64_1787` `flip--_binary64_1758`
2×	`sub-neg_binary64_1776` `difference-of-squares_binary64_1752`
1×	`distribute-lft-out_binary64_1734` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `distribute-lft-out--_binary64_1735`

Counts

4 → 100

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3912 to 2021 computations (48.3% saved)

series534.0ms (11.2%)

Error

0.0b

Counts

4 → 43

Calls

4 calls:

194.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
162.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
76.0ms	(.f64 (.f64 b b) (+.f64 3 a))
44.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3151 to 2238 computations (29% saved)

simplify70.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4930	2303
1	4930	2303

prune206.0ms (4.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	141	2	143
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	2	144

Error

0.0b

Counts

144 → 2

Compiler

Compiled 4824 to 2505 computations (48.1% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.4b	(.f64 a (.f64 a (*.f64 b b)))
1.2b	(.f64 a (.f64 b b))
1.2b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite204.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
16×	`add-sqr-sqrt_binary64_1805`
15×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `*-un-lft-identity_binary64_1783`
12×	`associate-r_binary64_1723`
10×	`add-cube-cbrt_binary64_1818`
8×	`associate-l_binary64_1724`
6×	`cancel-sign-sub-inv_binary64_1749`
5×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
4×	`add-log-exp_binary64_1822` `associate-r/_binary64_1725` `-commutative_binary64_1714`
3×	`unswap-sqr_binary64_1751`
2×	`sub-neg_binary64_1776` `difference-of-squares_binary64_1752`
1×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-lft-out_binary64_1734` `flip3--_binary64_1787` `flip--_binary64_1758` `distribute-lft-out--_binary64_1735`

Counts

4 → 96

Calls

4 calls:

10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4174 to 2266 computations (45.7% saved)

series312.0ms (6.5%)

Error

0.0b

Counts

4 → 26

Calls

4 calls:

79.0ms	(.f64 a (.f64 a (*.f64 b b)))
77.0ms	(.f64 (.f64 b b) (+.f64 3 a))
62.0ms	(.f64 a (.f64 b b))
54.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2701 to 1928 computations (28.6% saved)

simplify88.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4929	1219
1	4929	1219

prune201.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	122	2	124

Error

0.0b

Counts

124 → 2

Compiler

Compiled 4846 to 2730 computations (43.7% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 3 (*.f64 b b))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(.f64 3 (.f64 b b))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite163.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-sqr-sqrt_binary64_1805`
17×	`pow1_binary64_1844` `add-exp-log_binary64_1821`
16×	`add-cbrt-cube_binary64_1819`
15×	`*-un-lft-identity_binary64_1783`
12×	`add-cube-cbrt_binary64_1818`
10×	`associate-r_binary64_1723`
7×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `associate-l_binary64_1724`
6×	`cancel-sign-sub-inv_binary64_1749`
5×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
4×	`add-log-exp_binary64_1822` `associate-*r/_binary64_1725`
3×	`unpow-prod-down_binary64_1862` `pow-unpow_binary64_1860` `unswap-sqr_binary64_1751` `*-commutative_binary64_1714`
2×	`sub-neg_binary64_1776` `difference-of-squares_binary64_1752`
1×	`pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `flip3--_binary64_1787` `flip--_binary64_1758` `distribute-lft-out--_binary64_1735` `flip3-+_binary64_1786` `flip-+_binary64_1757`

Counts

4 → 91

Calls

4 calls:

13.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 3 (*.f64 b b))))
10.0ms	(.f64 (.f64 a a) (-.f64 1 a))
6.0ms	(.f64 3 (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3217 to 1642 computations (49% saved)

series564.0ms (11.8%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

234.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 3 (*.f64 b b))))
201.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
48.0ms	(.f64 (.f64 a a) (-.f64 1 a))
31.0ms	(.f64 3 (.f64 b b))

Compiler

Compiled 2758 to 2011 computations (27.1% saved)

simplify63.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5220	1911

prune168.0ms (3.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	133	2	135

Error

0.0b

Counts

135 → 2

Compiler

Compiled 4013 to 2069 computations (48.4% saved)

regimes251.0ms (5.3%)

Accuracy

Total 0.0b remaining (52.6%)

Threshold costs 0.0b (52.6%)

Compiler

Compiled 3674 to 2464 computations (32.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	55
1	57	55

end0.0ms (0%)

sample1.3s (26.5%)

Algorithm

1×

intervals

Results

496.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 685 to 467 computations (31.8% saved)

Details

analyze304.0ms (6.4%)

sample25.0ms (0.5%)

simplify79.0ms (1.7%)

prune3.0ms (0.1%)

localize19.0ms (0.4%)

rewrite206.0ms (4.3%)

series534.0ms (11.2%)

simplify70.0ms (1.5%)

prune206.0ms (4.3%)

localize23.0ms (0.5%)

rewrite204.0ms (4.3%)

series312.0ms (6.5%)

simplify88.0ms (1.8%)

prune201.0ms (4.2%)

localize17.0ms (0.4%)

rewrite163.0ms (3.4%)

series564.0ms (11.8%)

simplify63.0ms (1.3%)

prune168.0ms (3.5%)

regimes251.0ms (5.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.3s (26.5%)

Profiling