Details

analyze970.0ms (18.5%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample44.0ms (0.8%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
10.0ms	119×	body	128	invalid
3.0ms	63×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify205.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (114.0ms)

Iter	Nodes	Cost
0	5019	19

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 2.6b

Counts

2 → 2

Compiler

Compiled 41 to 34 computations (17.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(*.f64 k (+.f64 k 10))
2.6b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64_2162`
18×	`add-sqr-sqrt_binary64_2146`
13×	`*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
11×	`add-cube-cbrt_binary64_2159` `associate-r_binary64_2064`
7×	`prod-exp_binary64_2173`
6×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `associate-l_binary64_2065`
4×	`unswap-sqr_binary64_2092` `unpow-prod-down_binary64_2203` `div-exp_binary64_2175`
3×	`associate-/r*_binary64_2068` `flip3-+_binary64_2127` `flip-+_binary64_2098` `times-frac_binary64_2130` `cbrt-unprod_binary64_2157`
2×	`cbrt-undiv_binary64_2158` `associate-/r/_binary64_2070` `pow-exp_binary64_2192` `-commutative_binary64_2055` `associate-+r+_binary64_2056` `sqr-pow_binary64_2096` `distribute-rgt-in_binary64_2074` `pow-to-exp_binary64_2193` `associate-r/_binary64_2066` `distribute-lft-in_binary64_2073`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `sum-log_binary64_2215` `associate-/l*_binary64_2069` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 86

Calls

4 calls:

9.0ms	(*.f64 k (+.f64 k 10))
7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
5.0ms	(*.f64 a (pow.f64 k m))
3.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

series223.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

126.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
58.0ms	(*.f64 a (pow.f64 k m))
26.0ms	(*.f64 k (+.f64 k 10))
13.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4992	1457
1	4992	1457

prune95.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	95	5	100

Merged error: 2.6b

Counts

100 → 5

Compiler

Compiled 1921 to 1047 computations (45.5% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(+.f64 1 (*.f64 10 k))
0.0b	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
2.6b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64_2162`
14×	`add-sqr-sqrt_binary64_2146`
11×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160`
9×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`associate-r_binary64_2064`
6×	`prod-exp_binary64_2173`
4×	`unpow-prod-down_binary64_2203` `sum-log_binary64_2215` `pow1_binary64_2185` `div-exp_binary64_2175`
3×	`unswap-sqr_binary64_2092` `associate-/r_binary64_2068` `associate-l*_binary64_2065` `flip3-+_binary64_2127` `flip-+_binary64_2098` `times-frac_binary64_2130`
2×	`cbrt-undiv_binary64_2158` `associate-/r/_binary64_2070` `pow-exp_binary64_2192` `sqr-pow_binary64_2096` `+-commutative_binary64_2054` `pow-to-exp_binary64_2193` `cbrt-unprod_binary64_2157`
1×	`clear-num_binary64_2123` `associate-/l_binary64_2069` `-commutative_binary64_2055` `associate-+l+_binary64_2057` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 74

Calls

4 calls:

9.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
5.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))
5.0ms	(*.f64 a (pow.f64 k m))
3.0ms	(+.f64 1 (*.f64 10 k))

series219.0ms (4.2%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 (+.f64 1 (.f64 10 k)) (*.f64 k k)))
55.0ms	(*.f64 a (pow.f64 k m))
18.0ms	(+.f64 1 (*.f64 10 k))
10.0ms	(+.f64 (+.f64 1 (.f64 10 k)) (.f64 k k))

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4926	1344
1	4926	1344

prune79.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	86	5	91

Merged error: 2.6b

Counts

91 → 5

Compiler

Compiled 1791 to 934 computations (47.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(*.f64 k (+.f64 k 10))
0.2b	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
2.6b	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-exp-log_binary64_2162`
36×	`times-frac_binary64_2130`
26×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124` `div-exp_binary64_2175`
24×	`add-cube-cbrt_binary64_2159`
20×	`add-cbrt-cube_binary64_2160`
13×	`prod-exp_binary64_2173`
8×	`associate-/r*_binary64_2068`
7×	`cbrt-undiv_binary64_2158` `pow1_binary64_2185`
6×	`associate-/l*_binary64_2069` `add-log-exp_binary64_2163` `div-inv_binary64_2121`
5×	`1-exp_binary64_2168` `rec-exp_binary64_2174`
4×	`pow-exp_binary64_2192` `pow-to-exp_binary64_2193` `associate-r_binary64_2064`
3×	`associate-l_binary64_2065` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`
2×	`clear-num_binary64_2123` `associate-+r+_binary64_2056` `distribute-rgt-in_binary64_2074` `associate-*r/_binary64_2066` `associate-/l/_binary64_2071` `distribute-lft-in_binary64_2073` `frac-2neg_binary64_2135`
1×	`pow-prod-down_binary64_2195` `associate-/r/_binary64_2070` `unswap-sqr_binary64_2092` `sum-log_binary64_2215` `*-commutative_binary64_2055` `distribute-lft-out_binary64_2075` `+-commutative_binary64_2054` `pow-flip_binary64_2198` `inv-pow_binary64_2209`

Counts

4 → 123

Calls

4 calls:

8.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
8.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
6.0ms	(*.f64 k (+.f64 k 10))
3.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

series259.0ms (4.9%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m)))
102.0ms	(/.f64 1 (/.f64 (+.f64 1 (.f64 k (+.f64 k 10))) (.f64 a (pow.f64 k m))))
28.0ms	(*.f64 k (+.f64 k 10))
9.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

simplify121.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4943	2881
1	4943	2881

prune137.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	136	4	140

Merged error: 0.0b

Counts

140 → 4

Compiler

Compiled 2902 to 1744 computations (39.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.1b	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
12.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
12.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite80.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`add-sqr-sqrt_binary64_2146`
134×	`times-frac_binary64_2130`
76×	`sqrt-prod_binary64_2140` `add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
48×	`associate-r_binary64_2064`
45×	`unpow-prod-down_binary64_2203`
33×	`add-exp-log_binary64_2162`
24×	`associate-l_binary64_2065`
21×	`unswap-sqr_binary64_2092`
19×	`sqr-pow_binary64_2096`
18×	`add-cbrt-cube_binary64_2160`
13×	`div-exp_binary64_2175`
10×	`sqrt-div_binary64_2141`
8×	`pow1_binary64_2185` `prod-exp_binary64_2173`
7×	`associate-/l*_binary64_2069`
6×	`associate-/r/_binary64_2070` `associate-/r*_binary64_2068`
5×	`cbrt-undiv_binary64_2158` `flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157`
3×	`pow-exp_binary64_2192` `pow-to-exp_binary64_2193` `div-inv_binary64_2121`
2×	`sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow1/2_binary64_2204`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `-commutative_binary64_2055` `associate-l/_binary64_2067` `associate-*r/_binary64_2066` `frac-times_binary64_2134` `frac-2neg_binary64_2135`

Counts

4 → 218

Calls

4 calls:

34.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
7.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series237.0ms (4.5%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
74.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
15.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify163.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4922	7913
1	4922	7913

prune439.0ms (8.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	230	4	234

Merged error: 0.0b

Counts

234 → 4

Compiler

Compiled 7961 to 5206 computations (34.6% saved)

regimes141.0ms (2.7%)

Compiler: Compiled 1352 to 1086 computations (19.7% saved)

bsearch26.0ms (0.5%)

Steps

Iters	Range		Point
6	1.9778090048458194e+147	9.160323535196607e+147	4.1034082139038655e+147

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	61
1	41	61

end0.0ms (0%)

sample1.5s (29%)

Algorithm

1×

intervals

Results

497.0ms	8000×	body	128	valid
264.0ms	3232×	body	128	invalid
84.0ms	1962×	body	128	nan

Compiler

Compiled 386 to 304 computations (21.2% saved)

Details

analyze970.0ms (18.5%)

sample44.0ms (0.8%)

simplify205.0ms (3.9%)

prune4.0ms (0.1%)

localize8.0ms (0.2%)

rewrite30.0ms (0.6%)

series223.0ms (4.2%)

simplify60.0ms (1.1%)

prune95.0ms (1.8%)

localize10.0ms (0.2%)

rewrite27.0ms (0.5%)

series219.0ms (4.2%)

simplify92.0ms (1.7%)

prune79.0ms (1.5%)

localize10.0ms (0.2%)

rewrite35.0ms (0.7%)

series259.0ms (4.9%)

simplify121.0ms (2.3%)

prune137.0ms (2.6%)

localize14.0ms (0.3%)

rewrite80.0ms (1.5%)

series237.0ms (4.5%)

simplify163.0ms (3.1%)

prune439.0ms (8.4%)

regimes141.0ms (2.7%)

bsearch26.0ms (0.5%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (29%)

Profiling