Details

analyze71.0ms (1.9%)

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)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

128

valid

Compiler

Compiled 35 to 27 computations (22.9% saved)

simplify127.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (32.0ms)

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

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary64_2185` `add-exp-log_binary64_2162`
9×	`add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163` `add-sqr-sqrt_binary64_2146`
7×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
3×	`pow-prod-down_binary64_2195` `pow-unpow_binary64_2201` `unpow-prod-down_binary64_2203` `associate-l_binary64_2065` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`sum-log_binary64_2215` `+-commutative_binary64_2054` `flip3-+_binary64_2127` `flip-+_binary64_2098`
1×	`unswap-sqr_binary64_2092` `pow-pow_binary64_2196` `pow-exp_binary64_2192` `-commutative_binary64_2055` `sqr-pow_binary64_2096` `unpow2_binary64_2189` `pow-to-exp_binary64_2193` `associate-r*_binary64_2064`

Counts

4 → 59

Calls

4 calls:

8.0ms	(+.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))

series112.0ms (3%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (.f64 b b)))
28.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
19.0ms	(+.f64 (.f64 a a) (.f64 b b))
17.0ms	(.f64 4 (.f64 b b))

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4980	1108
1	4980	1108

prune79.0ms (2.1%)

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: 0.0b

Counts

72 → 2

Compiler

Compiled 1625 to 771 computations (52.6% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 4 (.f64 b b))) 1)
0.0b	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 4 (.f64 b b)))
0.0b	(.f64 4 (.f64 b b))
1.8b	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))

rewrite70.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
27×	`add-log-exp_binary64_2163`
18×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
12×	`sum-log_binary64_2215`
11×	`add-sqr-sqrt_binary64_2146`
9×	`*-un-lft-identity_binary64_2124`
6×	`add-cube-cbrt_binary64_2159`
4×	`diff-log_binary64_2216` `associate-l_binary64_2065`
3×	`cancel-sign-sub-inv_binary64_2090`
2×	`difference-of-squares_binary64_2093` `-commutative_binary64_2055` `associate-r*_binary64_2064`
1×	`flip--_binary64_2099` `flip3--_binary64_2128` `unswap-sqr_binary64_2092` `distribute-lft-out--_binary64_2076` `+-commutative_binary64_2054` `associate--l+_binary64_2061` `sub-neg_binary64_2117` `flip3-+_binary64_2127` `difference-of-sqr-1_binary64_2094` `associate-+l+_binary64_2057` `flip-+_binary64_2098`

Counts

4 → 83

Calls

4 calls:

23.0ms	(-.f64 (+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 4 (.f64 b b))) 1)
20.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 4 (.f64 b b)))
12.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
5.0ms	(.f64 4 (.f64 b b))

series150.0ms (4%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(-.f64 (+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 4 (.f64 b b))) 1)
52.0ms	(+.f64 (+.f64 (.f64 (.f64 a a) (.f64 b (.f64 b 2))) (+.f64 (pow.f64 a 4) (pow.f64 b 4))) (.f64 4 (.f64 b b)))
28.0ms	(.f64 (.f64 a a) (.f64 b (.f64 b 2)))
18.0ms	(.f64 4 (.f64 b b))

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4977	2092
1	4977	2092

prune136.0ms (3.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	94	3	97

Merged error: 0b

Counts

97 → 3

Compiler

Compiled 2840 to 1883 computations (33.7% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2)) -1)
0.0b	(+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2)) -1)))
0.0b	(+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2)) -1))
1.0b	(.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2))

rewrite58.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64_2163`
13×	`pow1_binary64_2185` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
12×	`*-un-lft-identity_binary64_2124`
10×	`sum-log_binary64_2215`
6×	`pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
5×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
4×	`distribute-lft-out_binary64_2075` `flip3-+_binary64_2127` `flip-+_binary64_2098`
3×	`+-commutative_binary64_2054` `associate-r_binary64_2064`
2×	`associate-+r+_binary64_2056` `distribute-rgt-in_binary64_2074` `associate-*r/_binary64_2066` `associate-+l+_binary64_2057` `distribute-lft-in_binary64_2073`
1×	`-commutative_binary64_2055` `associate-l*_binary64_2065`

Counts

4 → 68

Calls

4 calls:

17.0ms	(+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2)) -1)))
13.0ms	(+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2)) -1))
11.0ms	(+.f64 (.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2)) -1)
11.0ms	(.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2))

series188.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

55.0ms	(+.f64 (pow.f64 a 4) (+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2)) -1)))
55.0ms	(.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2))
41.0ms	(+.f64 (.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2)) -1)
37.0ms	(+.f64 (pow.f64 b 4) (+.f64 (.f64 (.f64 b (.f64 b 2)) (+.f64 (.f64 a a) 2)) -1))

simplify88.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4976	2078
1	4976	2078

prune118.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	80	3	83

Merged error: 0b

Counts

83 → 3

Compiler

Compiled 2421 to 1694 computations (30% saved)

localize24.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.8b	(.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))
3.6b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 (pow.f64 b 4) 16) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))))
43.5b	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6) (.f64 (pow.f64 b 6) 64)) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 (pow.f64 b 4) 16) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4)))))

rewrite68.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_2162`
27×	`*-un-lft-identity_binary64_2124`
18×	`prod-exp_binary64_2173`
17×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146`
15×	`add-cbrt-cube_binary64_2160`
12×	`times-frac_binary64_2130`
9×	`add-log-exp_binary64_2163`
8×	`associate-l_binary64_2065`
6×	`unpow-prod-down_binary64_2203` `cbrt-unprod_binary64_2157`
5×	`distribute-lft-out_binary64_2075` `pow1_binary64_2185`
4×	`pow-exp_binary64_2192` `associate-/r*_binary64_2068` `pow-to-exp_binary64_2193`
3×	`pow-unpow_binary64_2201` `associate-/l*_binary64_2069` `flip3-+_binary64_2127` `flip-+_binary64_2098`
2×	`associate-/r/_binary64_2070` `sum-log_binary64_2215` `associate-+r+_binary64_2056` `sqr-pow_binary64_2096` `unpow2_binary64_2189` `associate-/l/_binary64_2071`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `cancel-sign-sub-inv_binary64_2090` `associate-+r-_binary64_2058` `pow-pow_binary64_2196` `-commutative_binary64_2055` `diff-log_binary64_2216` `+-commutative_binary64_2054` `sub-neg_binary64_2117` `associate-r*_binary64_2064` `div-inv_binary64_2121` `div-exp_binary64_2175` `frac-2neg_binary64_2135`

Counts

4 → 98

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6) (.f64 (pow.f64 b 6) 64)) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 (pow.f64 b 4) 16) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4)))))
12.0ms	(.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))
12.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 (pow.f64 b 4) 16) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series610.0ms (16.4%)

Counts

4 → 12

Calls

4 calls:

305.0ms	(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 6) (.f64 (pow.f64 b 6) 64)) (+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 (pow.f64 b 4) 16) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4)))))
229.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 4) (-.f64 (.f64 (pow.f64 b 4) 16) (.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (.f64 b b) 4))))
50.0ms	(.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 (*.f64 b b) 4))
27.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify109.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5046	5411

prune267.0ms (7.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	110	3	113

Merged error: 0b

Counts

113 → 3

Compiler

Compiled 6841 to 3296 computations (51.8% saved)

regimes256.0ms (6.9%)

Compiler: Compiled 3188 to 2246 computations (29.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	37
1	35	37

end0.0ms (0%)

sample974.0ms (26.1%)

Algorithm

1×

intervals

Results

340.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 504 to 362 computations (28.2% saved)

Details

analyze71.0ms (1.9%)

sample17.0ms (0.5%)

simplify127.0ms (3.4%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite27.0ms (0.7%)

series112.0ms (3%)

simplify73.0ms (2%)

prune79.0ms (2.1%)

localize15.0ms (0.4%)

rewrite70.0ms (1.9%)

series150.0ms (4%)

simplify61.0ms (1.6%)

prune136.0ms (3.6%)

localize15.0ms (0.4%)

rewrite58.0ms (1.6%)

series188.0ms (5.1%)

simplify88.0ms (2.4%)

prune118.0ms (3.2%)

localize24.0ms (0.6%)

rewrite68.0ms (1.8%)

series610.0ms (16.4%)

simplify109.0ms (2.9%)

prune267.0ms (7.2%)

regimes256.0ms (6.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample974.0ms (26.1%)

Profiling