Details

analyze1.2s (9.9%)

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)

sample49.0ms (0.4%)

Algorithm

1×

intervals

Results

19.0ms	256×	body	128	valid
10.0ms	118×	body	128	invalid
2.0ms	49×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify114.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	5019	19

prune4.0ms (0%)

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

2.0b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 a (pow.f64 k m))
2.0b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite162.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

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

Counts

3 → 73

Calls

3 calls:

7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
6.0ms	(*.f64 k (+.f64 k 10))
5.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 1416 to 751 computations (47% saved)

series901.0ms (7.1%)

Error

2.0b

Counts

3 → 35

Calls

3 calls:

502.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
294.0ms	(*.f64 a (pow.f64 k m))
54.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1667 to 1267 computations (24% saved)

simplify65.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4968	1769
1	4968	1769

prune152.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	5	109

Error

1.9b

Counts

109 → 5

Compiler

Compiled 1564 to 854 computations (45.4% saved)

localize12.0ms (0.1%)

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))))))
15.0b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.0b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite734.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

146×	`add-sqr-sqrt_binary64_2146`
134×	`times-frac_binary64_2130`
76×	`add-cube-cbrt_binary64_2159` `sqrt-prod_binary64_2140` `*-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×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `cbrt-undiv_binary64_2158`
4×	`add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157`
3×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `div-inv_binary64_2121`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137`
1×	`pow-prod-down_binary64_2195` `frac-times_binary64_2134` `associate-l/_binary64_2067` `associate-r/_binary64_2066` `*-commutative_binary64_2055` `frac-2neg_binary64_2135` `clear-num_binary64_2123`

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))))))
10.0ms	(/.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))))

Compiler

Compiled 6925 to 4626 computations (33.2% saved)

series1.0s (8.1%)

Error

1.9b

Counts

4 → 50

Calls

4 calls:

519.0ms	(.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))))))
286.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
49.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
46.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 3158 to 2420 computations (23.4% saved)

simplify104.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

268 → 268

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4960	8749
1	4960	8749

prune585.0ms (4.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	268	0	268
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	268	5	273

Error

1.9b

Counts

273 → 5

Compiler

Compiled 6106 to 3925 computations (35.7% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0b	(/.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)))))
15.0b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
15.0b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite340.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

27×	`add-exp-log_binary64_2162` `add-sqr-sqrt_binary64_2146`
25×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
24×	`sqrt-prod_binary64_2140` `times-frac_binary64_2130`
15×	`add-cbrt-cube_binary64_2160`
12×	`associate-/r*_binary64_2068`
11×	`div-exp_binary64_2175`
8×	`sqrt-div_binary64_2141`
6×	`pow1_binary64_2185` `prod-exp_binary64_2173`
5×	`cbrt-undiv_binary64_2158`
4×	`add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-/r/_binary64_2070` `associate-/l*_binary64_2069`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121`
1×	`associate-*l/_binary64_2067` `associate-/l/_binary64_2071`

Counts

4 → 107

Calls

4 calls:

13.0ms	(/.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)))))
5.0ms	(/.f64 a (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))))

Compiler

Compiled 3393 to 2334 computations (31.2% saved)

series965.0ms (7.6%)

Error

1.9b

Counts

4 → 49

Calls

4 calls:

525.0ms	(/.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)))))
239.0ms	(/.f64 a (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
52.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
49.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2682 to 2021 computations (24.6% saved)

simplify62.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5047	3495

prune313.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	156	5	161

Error

1.9b

Counts

161 → 5

Compiler

Compiled 3330 to 2155 computations (35.3% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
2.0b	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))

rewrite553.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

180×	`times-frac_binary64_2130`
105×	`add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
103×	`add-cube-cbrt_binary64_2159`
48×	`unpow-prod-down_binary64_2203`
32×	`associate-/r*_binary64_2068`
20×	`add-exp-log_binary64_2162`
16×	`sqr-pow_binary64_2096`
12×	`add-cbrt-cube_binary64_2160`
10×	`div-exp_binary64_2175`
6×	`div-inv_binary64_2121` `associate-/l*_binary64_2069`
5×	`pow1_binary64_2185`
4×	`cbrt-undiv_binary64_2158` `associate-r_binary64_2064`
3×	`add-log-exp_binary64_2163` `associate-l_binary64_2065`
2×	`pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `flip3-+_binary64_2127` `associate-/l/_binary64_2071` `flip-+_binary64_2098` `associate-*r/_binary64_2066`
1×	`associate-/r/_binary64_2070` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `distribute-lft-out_binary64_2075` `*-commutative_binary64_2055`

Counts

3 → 190

Calls

3 calls:

10.0ms	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))
6.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
6.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 5187 to 2967 computations (42.8% saved)

series1.1s (8.5%)

Error

1.9b

Counts

3 → 36

Calls

3 calls:

509.0ms	(/.f64 a (/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m)))
431.0ms	(/.f64 (+.f64 1 (*.f64 k (+.f64 k 10))) (pow.f64 k m))
61.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 2100 to 1555 computations (26% saved)

simplify147.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4943	7008
1	4943	7008

prune442.0ms (3.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	225	1	226
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	226	5	231

Error

1.9b

Counts

231 → 5

Compiler

Compiled 4711 to 2550 computations (45.9% saved)

regimes2.0s (15.5%)

Accuracy

Total 0.1b remaining (5.1%)

Threshold costs 0.1b (5.1%)

Compiler

Compiled 18668 to 15054 computations (19.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	35
1	19	35

end2.0ms (0%)

Compiler: Compiled 23 to 19 computations (17.4% saved)

sample1.6s (12.5%)

Algorithm

1×

intervals

Results

530.0ms	8000×	body	128	valid
282.0ms	3291×	body	128	invalid
96.0ms	1982×	body	128	nan

Compiler

Compiled 133 to 119 computations (10.5% saved)

Details

analyze1.2s (9.9%)

sample49.0ms (0.4%)

simplify114.0ms (0.9%)

prune4.0ms (0%)

localize9.0ms (0.1%)

rewrite162.0ms (1.3%)

series901.0ms (7.1%)

simplify65.0ms (0.5%)

prune152.0ms (1.2%)

localize12.0ms (0.1%)

rewrite734.0ms (5.8%)

series1.0s (8.1%)

simplify104.0ms (0.8%)

prune585.0ms (4.6%)

localize15.0ms (0.1%)

rewrite340.0ms (2.7%)

series965.0ms (7.6%)

simplify62.0ms (0.5%)

prune313.0ms (2.5%)

localize11.0ms (0.1%)

rewrite553.0ms (4.4%)

series1.1s (8.5%)

simplify147.0ms (1.2%)

prune442.0ms (3.5%)

regimes2.0s (15.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end2.0ms (0%)

sample1.6s (12.5%)

Profiling