Details

analyze313.0ms (5.7%)

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)

sample19.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5126	25

prune6.0ms (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 (.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)

rewrite148.0ms (2.7%)

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:

16.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
10.0ms	(.f64 4 (.f64 b b))
8.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
8.0ms	(+.f64 (.f64 a a) (.f64 b b))

Compiler

Compiled 1523 to 667 computations (56.2% saved)

series856.0ms (15.5%)

Error

0.0b

Counts

4 → 51

Calls

4 calls:

450.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
216.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
90.0ms	(+.f64 (.f64 a a) (.f64 b b))
32.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2199 to 1804 computations (18% saved)

simplify114.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4905	1630
1	4905	1630

prune115.0ms (2.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	109	2	111

Error

Counts

111 → 2

Compiler

Compiled 2194 to 1059 computations (51.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
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))
3.9b	(.f64 (.f64 a a) (*.f64 b b))

rewrite210.0ms (3.8%)

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:

29.0ms	(+.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)))
13.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
9.0ms	(.f64 (.f64 a a) (*.f64 b b))
6.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 2952 to 1549 computations (47.5% saved)

series718.0ms (13%)

Error

Counts

4 → 33

Calls

4 calls:

422.0ms	(+.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)))
132.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
86.0ms	(.f64 (.f64 a a) (*.f64 b b))
29.0ms	(.f64 4 (.f64 b b))

Compiler

Compiled 1875 to 1540 computations (17.9% saved)

simplify87.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4980	1790
1	4980	1790

prune166.0ms (3%)

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

Counts

124 → 2

Compiler

Compiled 3179 to 1850 computations (41.8% saved)

localize16.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))) 1)
0.0b	(.f64 2 (.f64 a a))
2.2b	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))

rewrite108.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-sqr-sqrt_binary64_2146`
6×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `add-cube-cbrt_binary64_2159` `cbrt-unprod_binary64_2157` `*-un-lft-identity_binary64_2124`
5×	`add-log-exp_binary64_2163`
4×	`associate-l_binary64_2065` `associate-r_binary64_2064`
3×	`cancel-sign-sub-inv_binary64_2090`
2×	`unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `associate-r/_binary64_2066` `-commutative_binary64_2055` `associate--l+_binary64_2061`
1×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `diff-log_binary64_2216` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099`

Counts

3 → 58

Calls

3 calls:

14.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
11.0ms	(-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))) 1)
6.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1610 to 826 computations (48.7% saved)

series620.0ms (11.2%)

Error

Counts

3 → 30

Calls

3 calls:

335.0ms	(-.f64 (.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a))))) 1)
227.0ms	(.f64 (.f64 b b) (+.f64 (.f64 b b) (+.f64 4 (.f64 2 (*.f64 a a)))))
30.0ms	(.f64 2 (.f64 a a))

Compiler

Compiled 1203 to 1037 computations (13.8% saved)

simplify114.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4952	1641
1	4952	1641

prune335.0ms (6.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Error

Counts

90 → 2

Compiler

Compiled 1772 to 997 computations (43.7% saved)

regimes328.0ms (6%)

Accuracy

Total 0.0b remaining (66.7%)

Threshold costs 0.0b (66.7%)

Compiler

Compiled 3687 to 2427 computations (34.2% 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%)

sample1.2s (21.1%)

Algorithm

1×

intervals

Results

398.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 507 to 346 computations (31.8% saved)

Details

analyze313.0ms (5.7%)

sample19.0ms (0.3%)

simplify54.0ms (1%)

prune6.0ms (0.1%)

localize9.0ms (0.2%)

rewrite148.0ms (2.7%)

series856.0ms (15.5%)

simplify114.0ms (2.1%)

prune115.0ms (2.1%)

localize14.0ms (0.3%)

rewrite210.0ms (3.8%)

series718.0ms (13%)

simplify87.0ms (1.6%)

prune166.0ms (3%)

localize16.0ms (0.3%)

rewrite108.0ms (1.9%)

series620.0ms (11.2%)

simplify114.0ms (2.1%)

prune335.0ms (6.1%)

regimes328.0ms (6%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.2s (21.1%)

Profiling