Details

analyze296.0ms (7%)

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 (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify39.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

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)

localize10.0ms (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)

rewrite110.0ms (2.6%)

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:

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)

series1.1s (25.9%)

Error

Counts

4 → 51

Calls

4 calls:

554.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
294.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
142.0ms	(+.f64 (.f64 a a) (.f64 b b))
41.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify96.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune121.0ms (2.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

Counts

111 → 1

Compiler

Compiled 2177 to 1047 computations (51.9% saved)

localize15.0ms (0.3%)

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 2 (.f64 (.f64 a a) (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
1.9b	(.f64 (.f64 a a) (*.f64 b b))

rewrite200.0ms (4.7%)

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`
9×	`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`
4×	`pow-prod-up_binary64_2194` `pow-plus_binary64_2187`
3×	`associate-r_binary64_2064` `*-commutative_binary64_2055` `sum-log_binary64_2215`
2×	`pow2_binary64_2205` `pow-sqr_binary64_2097` `unswap-sqr_binary64_2092`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-+r+_binary64_2056` `+-commutative_binary64_2054`

Counts

4 → 88

Calls

4 calls:

20.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
13.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
11.0ms	(.f64 (.f64 a a) (*.f64 b b))
6.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2862 to 1501 computations (47.6% saved)

series809.0ms (19.2%)

Error

Counts

4 → 33

Calls

4 calls:

455.0ms	(+.f64 (.f64 2 (.f64 (.f64 a a) (.f64 b b))) (+.f64 (pow.f64 b 4) (pow.f64 a 4)))
145.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
125.0ms	(.f64 (.f64 a a) (*.f64 b b))
43.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1959 to 1550 computations (20.9% saved)

simplify50.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4993	1604
1	4993	1604

prune164.0ms (3.9%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	121	1	122

Error

Counts

122 → 1

Compiler

Compiled 3197 to 1831 computations (42.7% saved)

regimes250.0ms (5.9%)

Accuracy

Total 0.0b remaining (70.8%)

Threshold costs 0.0b (70.8%)

Compiler

Compiled 3033 to 1859 computations (38.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	37
1	34	37

end0.0ms (0%)

sample942.0ms (22.3%)

Algorithm

1×

intervals

Results

344.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 435 to 279 computations (35.9% saved)

Details

analyze296.0ms (7%)

sample20.0ms (0.5%)

simplify39.0ms (0.9%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite110.0ms (2.6%)

series1.1s (25.9%)

simplify96.0ms (2.3%)

prune121.0ms (2.9%)

localize15.0ms (0.3%)

rewrite200.0ms (4.7%)

series809.0ms (19.2%)

simplify50.0ms (1.2%)

prune164.0ms (3.9%)

regimes250.0ms (5.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample942.0ms (22.3%)

Profiling