Details

analyze81.0ms (2.7%)

Algorithm

1×

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample18.0ms (0.6%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify199.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (35.0ms)

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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 34 to 24 computations (29.4% saved)

localize10.0ms (0.3%)

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)

rewrite30.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_2204` `add-exp-log_binary64_2181`
9×	`add-cbrt-cube_binary64_2179`
8×	`add-sqr-sqrt_binary64_2165` `add-log-exp_binary64_2182`
7×	`add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
3×	`pow-unpow_binary64_2220` `unpow-prod-down_binary64_2222` `cbrt-unprod_binary64_2176` `associate-l_binary64_2084` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192`
2×	`+-commutative_binary64_2073` `sum-log_binary64_2234` `flip3-+_binary64_2146` `flip-+_binary64_2117`
1×	`unpow2_binary64_2208` `associate-r_binary64_2083` `pow-to-exp_binary64_2212` `pow-pow_binary64_2215` `unswap-sqr_binary64_2111` `sqr-pow_binary64_2115` `*-commutative_binary64_2074` `pow-exp_binary64_2211`

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))

series220.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
54.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
37.0ms	(.f64 4 (.f64 b b))
36.0ms	(+.f64 (.f64 a a) (.f64 b b))

simplify74.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4923	1108
1	4923	1108

prune158.0ms (5.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	2	72

Merged error: 0b

Counts

72 → 2

Compiler

Compiled 3236 to 1756 computations (45.7% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
0.0b	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
3.1b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite57.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1_binary64_2204` `add-exp-log_binary64_2181` `add-cbrt-cube_binary64_2179`
18×	`cbrt-unprod_binary64_2176` `pow-prod-down_binary64_2214` `prod-exp_binary64_2192`
15×	`add-log-exp_binary64_2182`
9×	`*-un-lft-identity_binary64_2143`
7×	`sum-log_binary64_2234`
6×	`add-sqr-sqrt_binary64_2165`
5×	`add-cube-cbrt_binary64_2178`
4×	`associate-l_binary64_2084`
2×	`+-commutative_binary64_2073` `unpow-prod-down_binary64_2222` `associate-r_binary64_2083` `distribute-lft-out_binary64_2094` `flip3-+_binary64_2146` `flip-+_binary64_2117` `*-commutative_binary64_2074`
1×	`associate-+l+_binary64_2076` `unswap-sqr_binary64_2111`

Counts

4 → 74

Calls

4 calls:

24.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
11.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
7.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
6.0ms	(.f64 4 (.f64 b b))

series238.0ms (8%)

Counts

4 → 12

Calls

4 calls:

85.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 b 4) (pow.f64 a 4))) (.f64 4 (.f64 b b)))
61.0ms	(+.f64 (pow.f64 b 4) (pow.f64 a 4))
53.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
39.0ms	(.f64 4 (.f64 b b))

simplify80.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4991	1404
1	4991	1404

prune117.0ms (3.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	86	2	88

Merged error: 0b

Counts

88 → 2

Compiler

Compiled 2491 to 1629 computations (34.6% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
22.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
22.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
22.8b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

rewrite56.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`cbrt-prod_binary64_2174`
52×	`add-sqr-sqrt_binary64_2165`
31×	`unpow-prod-down_binary64_2222`
25×	`unswap-sqr_binary64_2111`
22×	`add-cube-cbrt_binary64_2178` `*-un-lft-identity_binary64_2143`
17×	`unpow2_binary64_2208` `sqr-pow_binary64_2115`
11×	`pow1_binary64_2204` `associate-r_binary64_2083` `associate-l_binary64_2084` `swap-sqr_binary64_2110`
9×	`pow1/3_binary64_2225`
6×	`add-exp-log_binary64_2181`
4×	`add-log-exp_binary64_2182` `add-cbrt-cube_binary64_2179`
2×	`pow-sqr_binary64_2116` `pow-prod-up_binary64_2213` `pow-prod-down_binary64_2214`
1×	`pow2_binary64_2224` `pow-plus_binary64_2206` `cbrt-unprod_binary64_2176` `prod-exp_binary64_2192` `*-commutative_binary64_2074`

Counts

4 → 124

Calls

4 calls:

21.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

series618.0ms (20.8%)

Counts

4 → 12

Calls

4 calls:

156.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
156.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
155.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
151.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

simplify111.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4913	3148
1	4913	3148

prune215.0ms (7.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	136	2	138

Merged error: 0b

Counts

138 → 2

Compiler

Compiled 5955 to 2202 computations (63% saved)

regimes37.0ms (1.2%)

Compiler: Compiled 276 to 180 computations (34.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample612.0ms (20.6%)

Algorithm

1×

intervals

Results

361.0ms	8000×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 108 to 74 computations (31.5% saved)

Details

analyze81.0ms (2.7%)

sample18.0ms (0.6%)

simplify199.0ms (6.7%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite30.0ms (1%)

series220.0ms (7.4%)

simplify74.0ms (2.5%)

prune158.0ms (5.3%)

localize16.0ms (0.5%)

rewrite57.0ms (1.9%)

series238.0ms (8%)

simplify80.0ms (2.7%)

prune117.0ms (3.9%)

localize15.0ms (0.5%)

rewrite56.0ms (1.9%)

series618.0ms (20.8%)

simplify111.0ms (3.7%)

prune215.0ms (7.2%)

regimes37.0ms (1.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample612.0ms (20.6%)

Profiling