Details

analyze1.2s (16.4%)

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)

sample48.0ms (0.6%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
9.0ms	104×	body	128	invalid
3.0ms	71×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (117.0ms)

Iter	Nodes	Cost
0	5019	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

Error

1.9b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 a (pow.f64 k m))
0.0b	(*.f64 k (+.f64 k 10))
1.9b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite116.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

20×	`add-exp-log_binary64_2503`
17×	`add-sqr-sqrt_binary64_2487`
12×	`add-cbrt-cube_binary64_2501` `*-un-lft-identity_binary64_2465`
11×	`associate-r_binary64_2405`
10×	`add-cube-cbrt_binary64_2500`
7×	`prod-exp_binary64_2514`
6×	`associate-l_binary64_2406`
5×	`pow1_binary64_2526`
4×	`div-exp_binary64_2516` `unswap-sqr_binary64_2433` `unpow-prod-down_binary64_2544`
3×	`add-log-exp_binary64_2504` `cbrt-unprod_binary64_2498` `times-frac_binary64_2471` `associate-/r*_binary64_2409`
2×	`pow-to-exp_binary64_2534` `pow-exp_binary64_2533` `cbrt-undiv_binary64_2499` `flip3-+_binary64_2468` `associate-/r/_binary64_2411` `flip-+_binary64_2439` `associate-r/_binary64_2407` `-commutative_binary64_2396` `sqr-pow_binary64_2437`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `associate-/l*_binary64_2410` `pow-prod-down_binary64_2536` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `distribute-lft-out_binary64_2416`

Counts

3 → 73

Calls

3 calls:

11.0ms	(*.f64 k (+.f64 k 10))
7.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
6.0ms	(*.f64 a (pow.f64 k m))

Compiler

Compiled 1509 to 797 computations (47.2% saved)

series562.0ms (7.4%)

Error

1.9b

Counts

3 → 35

Calls

3 calls:

304.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
184.0ms	(*.f64 a (pow.f64 k m))
35.0ms	(*.f64 k (+.f64 k 10))

Compiler

Compiled 1833 to 1350 computations (26.4% saved)

simplify69.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4968	1769
1	4968	1769

prune114.0ms (1.5%)

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 2098 to 1117 computations (46.8% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
0.6b	(cbrt.f64 k)
1.9b	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite105.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

58×	`add-exp-log_binary64_2503`
30×	`prod-exp_binary64_2514`
16×	`div-exp_binary64_2516`
13×	`add-cbrt-cube_binary64_2501`
11×	`pow-exp_binary64_2533`
9×	`add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465` `cbrt-prod_binary64_2496`
8×	`pow-to-exp_binary64_2534`
4×	`pow1_binary64_2526` `add-log-exp_binary64_2504`
3×	`cbrt-undiv_binary64_2499` `cbrt-unprod_binary64_2498` `times-frac_binary64_2471` `associate-/r*_binary64_2409` `pow1/3_binary64_2547`
2×	`associate-/r/_binary64_2411`
1×	`frac-2neg_binary64_2476` `clear-num_binary64_2464` `div-inv_binary64_2462` `flip3-+_binary64_2468` `flip-+_binary64_2439` `associate-/l*_binary64_2410`

Counts

4 → 71

Calls

4 calls:

12.0ms	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)
1.0ms	(cbrt.f64 k)

Compiler

Compiled 2160 to 836 computations (61.3% saved)

series1.1s (14.3%)

Error

1.9b

Counts

4 → 26

Calls

4 calls:

793.0ms	(/.f64 (.f64 (.f64 a (pow.f64 (.f64 (cbrt.f64 k) (cbrt.f64 k)) m)) (pow.f64 (cbrt.f64 k) m)) (+.f64 1 (.f64 k (+.f64 k 10))))
85.0ms	(cbrt.f64 k)
80.0ms	(cbrt.f64 k)
78.0ms	(cbrt.f64 k)

Compiler

Compiled 2859 to 2194 computations (23.3% saved)

simplify145.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4992	2298
1	4992	2298

prune112.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	97	5	102

Error

1.9b

Counts

102 → 5

Compiler

Compiled 2644 to 1353 computations (48.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(*.f64 k (+.f64 k 10))
18.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
18.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite135.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

16×	`add-sqr-sqrt_binary64_2487`
14×	`*-un-lft-identity_binary64_2465`
10×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500`
8×	`add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-r_binary64_2405`
6×	`sqrt-prod_binary64_2481` `associate-l_binary64_2406`
4×	`add-log-exp_binary64_2504` `flip3-+_binary64_2468` `sqrt-div_binary64_2482` `flip-+_binary64_2439` `associate-*r/_binary64_2407`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `distribute-lft-out_binary64_2416` `*-commutative_binary64_2396`

Counts

4 → 76

Calls

4 calls:

7.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(*.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 2304 to 1566 computations (32% saved)

series208.0ms (2.7%)

Error

1.9b

Counts

4 → 32

Calls

4 calls:

47.0ms	(*.f64 k (+.f64 k 10))
45.0ms	(*.f64 k (+.f64 k 10))
41.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
38.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 1682 to 1294 computations (23.1% saved)

simplify83.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4822	1148
1	4822	1148

prune144.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	109	4	113

Error

1.9b

Counts

113 → 4

Compiler

Compiled 2887 to 1917 computations (33.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(+.f64 (.f64 k k) (.f64 k 10))
18.4b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
18.4b	(sqrt.f64 (+.f64 1 (+.f64 (.f64 k k) (.f64 k 10))))

rewrite120.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

1.9b

Rules

12×	`add-sqr-sqrt_binary64_2487` `*-un-lft-identity_binary64_2465`
8×	`pow1_binary64_2526` `add-cube-cbrt_binary64_2500`
7×	`sqrt-prod_binary64_2481`
6×	`add-log-exp_binary64_2504` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501`
4×	`flip3-+_binary64_2468` `sqrt-div_binary64_2482` `flip-+_binary64_2439` `associate-r_binary64_2405`
3×	`distribute-lft-out_binary64_2416` `associate-l_binary64_2406`
2×	`pow1/2_binary64_2545` `sqrt-pow1_binary64_2483` `rem-sqrt-square_binary64_2478` `associate-*r/_binary64_2407`
1×	`sum-log_binary64_2556` `+-commutative_binary64_2395` `pow-prod-down_binary64_2536` `prod-exp_binary64_2514` `cbrt-unprod_binary64_2498` `unswap-sqr_binary64_2433` `distribute-rgt-in_binary64_2415` `distribute-lft-in_binary64_2414` `*-commutative_binary64_2396`

Counts

4 → 66

Calls

4 calls:

7.0ms	(+.f64 (.f64 k k) (.f64 k 10))
7.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(sqrt.f64 (+.f64 1 (+.f64 (.f64 k k) (.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 2200 to 1389 computations (36.9% saved)

series204.0ms (2.7%)

Error

1.9b

Counts

4 → 32

Calls

4 calls:

52.0ms	(+.f64 (.f64 k k) (.f64 k 10))
42.0ms	(sqrt.f64 (+.f64 1 (+.f64 (.f64 k k) (.f64 k 10))))
39.0ms	(*.f64 k (+.f64 k 10))
39.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

Compiler

Compiled 1756 to 1316 computations (25.1% saved)

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4919	1086
1	4919	1086

prune123.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	98	4	102

Error

1.9b

Counts

102 → 4

Compiler

Compiled 2685 to 1701 computations (36.6% saved)

regimes354.0ms (4.7%)

Accuracy

Total 0.0b remaining (1.9%)

Threshold costs 0.0b (1.9%)

Compiler

Compiled 4076 to 3174 computations (22.1% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	34
1	22	34

end0.0ms (0%)

sample2.3s (30.8%)

Algorithm

1×

intervals

Results

528.0ms	8000×	body	128	valid
272.0ms	3177×	body	128	invalid
100.0ms	2089×	body	128	nan

Compiler

Compiled 1048 to 814 computations (22.3% saved)

Details

analyze1.2s (16.4%)

sample48.0ms (0.6%)

simplify123.0ms (1.6%)

prune4.0ms (0.1%)

localize10.0ms (0.1%)

rewrite116.0ms (1.5%)

series562.0ms (7.4%)

simplify69.0ms (0.9%)

prune114.0ms (1.5%)

localize18.0ms (0.2%)

rewrite105.0ms (1.4%)

series1.1s (14.3%)

simplify145.0ms (1.9%)

prune112.0ms (1.5%)

localize13.0ms (0.2%)

rewrite135.0ms (1.8%)

series208.0ms (2.7%)

simplify83.0ms (1.1%)

prune144.0ms (1.9%)

localize20.0ms (0.3%)

rewrite120.0ms (1.6%)

series204.0ms (2.7%)

simplify86.0ms (1.1%)

prune123.0ms (1.6%)

regimes354.0ms (4.7%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.3s (30.8%)

Profiling