Details

analyze327.0ms (6.6%)

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

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)

simplify54.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (48.0ms)

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

0.2b

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

rewrite122.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

10×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
9×	`add-cbrt-cube_binary64_2160`
8×	`add-sqr-sqrt_binary64_2146` `add-log-exp_binary64_2163`
7×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`unpow-prod-down_binary64_2203` `pow-unpow_binary64_2201` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `associate-l_binary64_2065`
2×	`sum-log_binary64_2215` `flip3-+_binary64_2127` `flip-+_binary64_2098` `+-commutative_binary64_2054`
1×	`pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow2_binary64_2189` `sqr-pow_binary64_2096` `unswap-sqr_binary64_2092` `associate-r_binary64_2064` `*-commutative_binary64_2055`

Counts

4 → 59

Calls

4 calls:

22.0ms	(+.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	(+.f64 (.f64 a a) (.f64 b b))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 1523 to 667 computations (56.2% saved)

series945.0ms (19%)

Error

Counts

4 → 51

Calls

4 calls:

459.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
278.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
112.0ms	(+.f64 (.f64 a a) (.f64 b b))
30.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify140.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune130.0ms (2.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	109	2	111

Error

Counts

111 → 2

Compiler

Compiled 2177 to 1047 computations (51.9% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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 2 (.f64 (.f64 a a) (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
2.1b	(.f64 (.f64 a a) (*.f64 b b))

rewrite280.0ms (5.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

55×	`pow1_binary64_2185`
39×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
30×	`pow-prod-down_binary64_2195`
24×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
13×	`add-log-exp_binary64_2163`
7×	`add-sqr-sqrt_binary64_2146` `associate-l_binary64_2065`
6×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124` `sum-log_binary64_2215`
4×	`pow-prod-up_binary64_2194` `pow-plus_binary64_2187`
3×	`associate-r_binary64_2064` `*-commutative_binary64_2055`
2×	`pow2_binary64_2205` `pow-sqr_binary64_2097` `unswap-sqr_binary64_2092`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+l+_binary64_2057` `+-commutative_binary64_2054`

Counts

4 → 89

Calls

4 calls:

46.0ms	(+.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)))
26.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
8.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2952 to 1549 computations (47.5% saved)

series791.0ms (15.9%)

Error

Counts

4 → 33

Calls

4 calls:

444.0ms	(+.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)))
145.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
107.0ms	(.f64 (.f64 a a) (*.f64 b b))
50.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1875 to 1540 computations (17.9% saved)

simplify95.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4980	1790
1	4980	1790

prune226.0ms (4.5%)

Pruning

2 alts after pruning (0 fresh and 2 done)

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

Error

Counts

124 → 2

Compiler

Compiled 3162 to 1838 computations (41.9% saved)

regimes289.0ms (5.8%)

Accuracy

Total 0.0b remaining (60.4%)

Threshold costs 0.0b (60.4%)

Compiler

Compiled 2343 to 1631 computations (30.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	37
1	34	37

end0.0ms (0%)

sample1.5s (30.6%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 356 to 257 computations (27.8% saved)

Details

analyze327.0ms (6.6%)

sample20.0ms (0.4%)

simplify54.0ms (1.1%)

prune3.0ms (0.1%)

localize9.0ms (0.2%)

rewrite122.0ms (2.5%)

series945.0ms (19%)

simplify140.0ms (2.8%)

prune130.0ms (2.6%)

localize17.0ms (0.3%)

rewrite280.0ms (5.6%)

series791.0ms (15.9%)

simplify95.0ms (1.9%)

prune226.0ms (4.5%)

regimes289.0ms (5.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (30.6%)

Profiling