Details

analyze2.2s (16.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5045	76
0	3	3
1	3	3

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)

sample75.0ms (0.6%)

Algorithm

1×

intervals

Results

29.0ms	256×	body	128	valid
16.0ms	106×	body	128	invalid
5.0ms	61×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify248.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (236.0ms)

Iter	Nodes	Cost
0	5019	19

prune16.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

1.8b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize21.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
1.8b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite51.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

15.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
14.0ms	(*.f64 k (+.f64 k 10))
12.0ms	(*.f64 a (pow.f64 k m))

series1.1s (8%)

Counts

3 → 36

Calls

3 calls:

632.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
371.0ms	(*.f64 a (pow.f64 k m))
75.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1072 to 881 computations (17.8% saved)

simplify236.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (191.0ms)

Iter	Nodes	Cost
0	4968	1809
1	4968	1809

prune260.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	103	6	109
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	6	110

Error

1.7b

Counts

110 → 6

Compiler

Compiled 2124 to 1134 computations (46.6% saved)

localize22.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.3b	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
1.6b	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))

rewrite84.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_2146`
45×	`times-frac_binary64_2130`
38×	`*-un-lft-identity_binary64_2124`
36×	`add-cube-cbrt_binary64_2159`
31×	`associate-r_binary64_2064`
22×	`unpow-prod-down_binary64_2203`
20×	`add-exp-log_binary64_2162`
12×	`add-cbrt-cube_binary64_2160`
8×	`sqr-pow_binary64_2096`
7×	`associate-/l*_binary64_2069` `pow1_binary64_2185`
6×	`associate-l_binary64_2065` `div-exp_binary64_2175`
5×	`unswap-sqr_binary64_2092` `prod-exp_binary64_2173`
4×	`associate-/r/_binary64_2070`
3×	`associate-/r_binary64_2068` `add-log-exp_binary64_2163` `associate-r/_binary64_2066` `flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-unprod_binary64_2157`
2×	`pow-prod-down_binary64_2195` `cbrt-undiv_binary64_2158` `pow-exp_binary64_2192` `*-commutative_binary64_2055` `pow-to-exp_binary64_2193` `div-inv_binary64_2121`
1×	`clear-num_binary64_2123` `distribute-lft-out_binary64_2075` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `frac-2neg_binary64_2135`

Counts

3 → 120

Calls

3 calls:

26.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
22.0ms	(*.f64 k (+.f64 k 10))
14.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))

series1.0s (7.7%)

Counts

3 → 39

Calls

3 calls:

652.0ms	(.f64 a (/.f64 (pow.f64 k m) (+.f64 1 (.f64 k (+.f64 k 10)))))
303.0ms	(/.f64 (pow.f64 k m) (+.f64 1 (*.f64 k (+.f64 k 10))))
82.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1241 to 1017 computations (18% saved)

simplify211.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4960	3818
1	4960	3818

prune364.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	159	6	165

Error

1.7b

Counts

165 → 6

Compiler

Compiled 3669 to 2101 computations (42.7% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.1b	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
14.3b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.3b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite76.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64_2162`
16×	`add-sqr-sqrt_binary64_2146`
15×	`add-cbrt-cube_binary64_2160`
14×	`*-un-lft-identity_binary64_2124`
12×	`sqrt-prod_binary64_2140` `add-cube-cbrt_binary64_2159`
10×	`div-exp_binary64_2175`
8×	`pow1_binary64_2185`
7×	`prod-exp_binary64_2173`
6×	`sqrt-div_binary64_2141` `associate-/r*_binary64_2068` `times-frac_binary64_2130`
4×	`cbrt-undiv_binary64_2158` `add-log-exp_binary64_2163` `flip3-+_binary64_2127` `associate-r_binary64_2064` `flip-+_binary64_2098`
3×	`associate-l_binary64_2065` `cbrt-unprod_binary64_2157`
2×	`associate-/r/_binary64_2070` `sqrt-pow1_binary64_2142` `pow-exp_binary64_2192` `rem-sqrt-square_binary64_2137` `pow1/2_binary64_2204` `pow-to-exp_binary64_2193` `associate-*r/_binary64_2066`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `unswap-sqr_binary64_2092` `associate-/l_binary64_2069` `-commutative_binary64_2055` `distribute-lft-out_binary64_2075` `associate-*l/_binary64_2067` `distribute-rgt-in_binary64_2074` `div-inv_binary64_2121` `associate-/l/_binary64_2071` `distribute-lft-in_binary64_2073` `frac-2neg_binary64_2135`

Counts

4 → 89

Calls

4 calls:

30.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
15.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
6.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series879.0ms (6.5%)

Counts

4 → 46

Calls

4 calls:

630.0ms	(/.f64 (.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (pow.f64 k m)) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
85.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
83.0ms	(*.f64 k (+.f64 k 10))
79.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 1386 to 1142 computations (17.6% saved)

simplify180.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4936	2588
1	4936	2588

prune315.0ms (2.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	135	6	141

Error

1.7b

Counts

141 → 6

Compiler

Compiled 3490 to 2278 computations (34.7% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0b	(.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))))))
14.3b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
14.3b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite150.0ms (1.1%)

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:

67.0ms	(.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))))))
19.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
5.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
5.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series1.1s (8%)

Counts

4 → 55

Calls

4 calls:

602.0ms	(.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))))))
341.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
74.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
69.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 1858 to 1525 computations (17.9% saved)

simplify281.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

273 → 273

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4954	8806
1	4954	8806

prune1.0s (7.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	273	0	273
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	273	6	279

Error

1.7b

Counts

279 → 6

Compiler

Compiled 8936 to 5777 computations (35.4% saved)

regimes373.0ms (2.8%)

Accuracy

Total 0.1b remaining (5.3%)

Threshold costs 0.1b (5.3%)

Compiler

Compiled 1916 to 1526 computations (20.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	35
1	19	35

end0.0ms (0%)

sample3.2s (23.4%)

Algorithm

1×

intervals

Results

929.0ms	8000×	body	128	valid
511.0ms	3243×	body	128	invalid
178.0ms	2017×	body	128	nan

Compiler

Compiled 509 to 406 computations (20.2% saved)

Details

analyze2.2s (16.5%)

sample75.0ms (0.6%)

simplify248.0ms (1.8%)

prune16.0ms (0.1%)

localize21.0ms (0.2%)

rewrite51.0ms (0.4%)

series1.1s (8%)

simplify236.0ms (1.7%)

prune260.0ms (1.9%)

localize22.0ms (0.2%)

rewrite84.0ms (0.6%)

series1.0s (7.7%)

simplify211.0ms (1.6%)

prune364.0ms (2.7%)

localize27.0ms (0.2%)

rewrite76.0ms (0.6%)

series879.0ms (6.5%)

simplify180.0ms (1.3%)

prune315.0ms (2.3%)

localize24.0ms (0.2%)

rewrite150.0ms (1.1%)

series1.1s (8%)

simplify281.0ms (2.1%)

prune1.0s (7.7%)

regimes373.0ms (2.8%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample3.2s (23.4%)

Profiling