Details

analyze1.0s (16.1%)

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)

sample41.0ms (0.7%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	80	valid
6.0ms	77×	body	80	invalid
3.0ms	66×	body	80	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify278.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (263.0ms)

Iter	Nodes	Cost
0	4741	19
1	4741	19

prune4.0ms (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

Merged error: 2.6b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

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))))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
11×	`associate-r_binary64` `add-cube-cbrt_binary64`
7×	`prod-exp_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
4×	`unswap-sqr_binary64` `unpow-prod-down_binary64` `div-exp_binary64` `insert-posit16`
3×	`flip3-+_binary64` `associate-/r*_binary64` `cbrt-unprod_binary64` `times-frac_binary64` `flip-+_binary64`
2×	`pow-to-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `associate-/r/_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64` `pow-exp_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 90

Calls

4 calls:

9.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
9.0ms	(*.f64 a (pow.f64 k m))
8.0ms	(*.f64 k (+.f64 k 10))
5.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

series445.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

251.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
109.0ms	(*.f64 a (pow.f64 k m))
67.0ms	(*.f64 k (+.f64 k 10))
17.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

simplify101.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4972	1508
1	4972	1508

prune104.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	98	4	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	4	103

Merged error: 2.6b

Counts

103 → 4

Compiler

Compiled 1950 to 1059 computations (45.7% saved)

localize12.0ms (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)))))
17.6b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
17.6b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite35.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`add-cbrt-cube_binary64`
14×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64` `sqrt-prod_binary64`
10×	`div-exp_binary64`
8×	`pow1_binary64`
7×	`prod-exp_binary64`
6×	`associate-/r*_binary64` `times-frac_binary64` `sqrt-div_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `insert-posit16` `flip-+_binary64`
3×	`cbrt-unprod_binary64` `associate-l_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64`
1×	`pow-prod-down_binary64` `associate-/l/_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 93

Calls

4 calls:

16.0ms	(/.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)))))
8.0ms	(*.f64 k (+.f64 k 10))
4.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series363.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

249.0ms	(/.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)))))
55.0ms	(*.f64 k (+.f64 k 10))
30.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
28.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify106.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4955	2054
1	4955	2054

prune140.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	105	4	109

Merged error: 2.6b

Counts

109 → 4

Compiler

Compiled 2859 to 1922 computations (32.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.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))))))
17.6b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
17.6b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite69.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

120×	`add-sqr-sqrt_binary64`
92×	`times-frac_binary64`
52×	`associate-r_binary64` `sqrt-prod_binary64`
50×	`*-un-lft-identity_binary64`
48×	`add-cube-cbrt_binary64`
30×	`add-exp-log_binary64`
27×	`associate-l_binary64`
24×	`unpow-prod-down_binary64`
22×	`unswap-sqr_binary64`
18×	`add-cbrt-cube_binary64`
12×	`sqr-pow_binary64`
10×	`pow1_binary64` `div-exp_binary64`
9×	`prod-exp_binary64`
8×	`sqrt-div_binary64`
5×	`flip3-+_binary64` `cbrt-unprod_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `insert-posit16`
3×	`associate-*r/_binary64`
2×	`pow-to-exp_binary64` `pow-prod-down_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 174

Calls

4 calls:

39.0ms	(.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))))))
8.0ms	(*.f64 k (+.f64 k 10))
4.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series344.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

232.0ms	(.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))))))
57.0ms	(*.f64 k (+.f64 k 10))
30.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
24.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify110.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5038	5778

prune328.0ms (5.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	186	4	190

Merged error: 2.6b

Counts

190 → 4

Compiler

Compiled 6182 to 4076 computations (34.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.1b	(pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3)
2.6b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
14.0b	(cbrt.f64 (pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3))

rewrite40.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-exp-log_binary64`
24×	`cbrt-prod_binary64`
20×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
18×	`add-cube-cbrt_binary64` `unpow-prod-down_binary64` `cube-prod_binary64`
17×	`add-cbrt-cube_binary64`
15×	`times-frac_binary64`
10×	`associate-/r/_binary64`
8×	`div-exp_binary64`
7×	`pow1_binary64` `prod-exp_binary64` `pow-exp_binary64`
6×	`flip3-+_binary64` `flip-+_binary64`
5×	`div-inv_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64` `cbrt-undiv_binary64` `insert-posit16`
3×	`pow-to-exp_binary64` `pow-unpow_binary64` `associate-/r_binary64` `cbrt-unprod_binary64` `associate-l*_binary64` `rem-cube-cbrt_binary64`
2×	`associate-*r/_binary64` `sqr-pow_binary64` `cube-div_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`cbrt-div_binary64` `pow-prod-down_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `-commutative_binary64`

Counts

4 → 128

Calls

4 calls:

10.0ms	(pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3)
9.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
8.0ms	(*.f64 k (+.f64 k 10))
7.0ms	(cbrt.f64 (pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3))

series950.0ms (15.3%)

Counts

4 → 12

Calls

4 calls:

400.0ms	(pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3)
258.0ms	(cbrt.f64 (pow.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))) 3))
232.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
60.0ms	(*.f64 k (+.f64 k 10))

simplify132.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4964	3544
1	4964	3544

prune157.0ms (2.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	140	4	144

Merged error: 2.6b

Counts

144 → 4

Compiler

Compiled 3335 to 1999 computations (40.1% saved)

regimes38.0ms (0.6%)

Compiler: Compiled 240 to 213 computations (11.3% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	35
1	20	35

end0.0ms (0%)

sample1.4s (21.7%)

Algorithm

1×

intervals

Results

533.0ms	8000×	body	80	valid
272.0ms	3275×	body	80	invalid
95.0ms	1944×	body	80	nan

Compiler

Compiled 117 to 100 computations (14.5% saved)

Details

analyze1.0s (16.1%)

sample41.0ms (0.7%)

simplify278.0ms (4.5%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite34.0ms (0.5%)

series445.0ms (7.1%)

simplify101.0ms (1.6%)

prune104.0ms (1.7%)

localize12.0ms (0.2%)

rewrite35.0ms (0.6%)

series363.0ms (5.8%)

simplify106.0ms (1.7%)

prune140.0ms (2.3%)

localize13.0ms (0.2%)

rewrite69.0ms (1.1%)

series344.0ms (5.5%)

simplify110.0ms (1.8%)

prune328.0ms (5.3%)

localize12.0ms (0.2%)

rewrite40.0ms (0.6%)

series950.0ms (15.3%)

simplify132.0ms (2.1%)

prune157.0ms (2.5%)

regimes38.0ms (0.6%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.4s (21.7%)

Profiling