Details

analyze5.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample97.0ms (0.3%)

Algorithm

1×

intervals

Results

57.0ms	90×	body	1024	valid
15.0ms	48×	body	512	valid
7.0ms	99×	body	128	valid
5.0ms	6×	body	2048	valid
2.0ms	13×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify191.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

prune10.0ms (0%)

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: 39.0b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize12.0ms (0%)

Local error

Found 1 expressions with local error:

3.5b	(log.f64 (+.f64 1 x))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`log-prod_binary64_2210` `*-un-lft-identity_binary64_2124`
2×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `log-div_binary64_2211` `add-exp-log_binary64_2162`
1×	`rem-log-exp_binary64_2165` `log-pow_binary64_2213` `distribute-lft-out_binary64_2075` `add-log-exp_binary64_2163` `flip3-+_binary64_2127` `flip-+_binary64_2098` `add-cbrt-cube_binary64_2160`

Counts

1 → 15

Calls

1 calls:

7.0ms

(log.f64 (+.f64 1 x))

series24.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

24.0ms

(log.f64 (+.f64 1 x))

simplify178.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (160.0ms)

Iter	Nodes	Cost
0	4892	210
1	4892	210

prune100.0ms (0.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	7	11	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	7	12	19

Merged error: 0.1b

Counts

19 → 12

Compiler

Compiled 282 to 230 computations (18.4% saved)

localize14.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite40.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_2146`
9×	`pow1_binary64_2185` `add-cube-cbrt_binary64_2159` `associate-l_binary64_2065` `associate-r_binary64_2064` `add-exp-log_binary64_2162` `*-un-lft-identity_binary64_2124` `add-cbrt-cube_binary64_2160`
4×	`associate-*r/_binary64_2066`
3×	`pow-prod-down_binary64_2195` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `add-log-exp_binary64_2163` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
2×	`distribute-rgt-in_binary64_2074` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-lft-in_binary64_2073`

Counts

3 → 62

Calls

3 calls:

13.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
11.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
8.0ms	(*.f64 x 1/3)

series123.0ms (0.4%)

Counts

3 → 9

Calls

3 calls:

70.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
35.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
18.0ms	(*.f64 x 1/3)

simplify135.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (108.0ms)

Iter	Nodes	Cost
0	5102	905

prune701.0ms (2.4%)

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	44	27	71
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	44	39	83

Merged error: 0.1b

Counts

83 → 39

Compiler

Compiled 1848 to 1428 computations (22.7% saved)

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
0.6b	(cbrt.f64 (*.f64 x 1/3))
0.6b	(cbrt.f64 (*.f64 x 1/3))
0.6b	(cbrt.f64 (*.f64 x 1/3))

rewrite44.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_2185`
10×	`add-sqr-sqrt_binary64_2146`
9×	`pow1/3_binary64_2206`
8×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
7×	`cbrt-prod_binary64_2155`
6×	`add-exp-log_binary64_2162`
4×	`swap-sqr_binary64_2091` `add-log-exp_binary64_2163` `associate-l_binary64_2065` `associate-r_binary64_2064` `add-cbrt-cube_binary64_2160`
2×	`pow-prod-down_binary64_2195` `pow-prod-up_binary64_2194` `pow-sqr_binary64_2097`
1×	`unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `pow-plus_binary64_2187` `pow2_binary64_2205` `cbrt-unprod_binary64_2157`

Counts

4 → 58

Calls

4 calls:

12.0ms	(cbrt.f64 (*.f64 x 1/3))
12.0ms	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
5.0ms	(cbrt.f64 (*.f64 x 1/3))
5.0ms	(cbrt.f64 (*.f64 x 1/3))

series866.0ms (2.9%)

Counts

4 → 12

Calls

4 calls:

243.0ms	(.f64 (cbrt.f64 (.f64 x 1/3)) (cbrt.f64 (*.f64 x 1/3)))
210.0ms	(cbrt.f64 (*.f64 x 1/3))
208.0ms	(cbrt.f64 (*.f64 x 1/3))
204.0ms	(cbrt.f64 (*.f64 x 1/3))

simplify158.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	5115	556

prune1.5s (5.2%)

Pruning

58 alts after pruning (55 fresh and 3 done)

	Pruned	Kept	Total
New	48	22	70
Fresh	3	33	36
Picked	0	1	1
Done	0	2	2
Total	51	58	109

Merged error: 0.1b

Counts

109 → 58

Compiler

Compiled 2789 to 2231 computations (20% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 x 1/9))
0.3b	(*.f64 x 1/3)
0.4b	(*.f64 x 1/9)
3.1b	(/.f64 (.f64 x (-.f64 1/4 (.f64 x (.f64 x 1/9)))) (-.f64 -1/2 (.f64 x 1/3)))

rewrite66.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
15×	`add-sqr-sqrt_binary64_2146`
13×	`pow1_binary64_2185`
11×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
9×	`associate-l_binary64_2065`
7×	`associate-r_binary64_2064`
6×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
5×	`pow-prod-down_binary64_2195`
4×	`add-log-exp_binary64_2163`
3×	`-commutative_binary64_2055` `associate-/r_binary64_2068` `times-frac_binary64_2130`
2×	`flip--_binary64_2099` `flip3--_binary64_2128` `cbrt-undiv_binary64_2158` `associate-/r/_binary64_2070` `unswap-sqr_binary64_2092` `associate-*r/_binary64_2066` `associate-/l/_binary64_2071` `div-exp_binary64_2175`
1×	`clear-num_binary64_2123` `associate-/l*_binary64_2069` `div-inv_binary64_2121` `frac-2neg_binary64_2135`

Counts

4 → 79

Calls

4 calls:

28.0ms	(/.f64 (.f64 x (-.f64 1/4 (.f64 x (.f64 x 1/9)))) (-.f64 -1/2 (.f64 x 1/3)))
11.0ms	(.f64 x (.f64 x 1/9))
8.0ms	(*.f64 x 1/9)
7.0ms	(*.f64 x 1/3)

series239.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

174.0ms	(/.f64 (.f64 x (-.f64 1/4 (.f64 x (.f64 x 1/9)))) (-.f64 -1/2 (.f64 x 1/3)))
27.0ms	(.f64 x (.f64 x 1/9))
19.0ms	(*.f64 x 1/9)
18.0ms	(*.f64 x 1/3)

simplify258.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (200.0ms)

Iter	Nodes	Cost
0	4919	1010
1	4919	1010

prune2.0s (6.8%)

Pruning

83 alts after pruning (79 fresh and 4 done)

	Pruned	Kept	Total
New	63	28	91
Fresh	3	51	54
Picked	0	1	1
Done	0	3	3
Total	66	83	149

Merged error: 0.1b

Counts

149 → 83

Compiler

Compiled 2029 to 1533 computations (24.4% saved)

regimes3.2s (10.8%)

Compiler: Compiled 10796 to 8850 computations (18% saved)

bsearch6.1s (20.5%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify13.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	35
1	25	35

end0.0ms (0%)

sample13.6s (45.6%)

Algorithm

1×

intervals

Results

1.6s	2726×	body	1024	valid
407.0ms	1332×	body	512	valid
206.0ms	260×	body	2048	valid
173.0ms	3028×	body	128	valid
102.0ms	654×	body	256	valid

Compiler

Compiled 3668 to 2997 computations (18.3% saved)

Pareto

0.0

Details

analyze5.0ms (0%)

sample97.0ms (0.3%)

simplify191.0ms (0.6%)

prune10.0ms (0%)

localize12.0ms (0%)

rewrite9.0ms (0%)

series24.0ms (0.1%)

simplify178.0ms (0.6%)

prune100.0ms (0.3%)

localize14.0ms (0%)

rewrite40.0ms (0.1%)

series123.0ms (0.4%)

simplify135.0ms (0.5%)

prune701.0ms (2.4%)

localize29.0ms (0.1%)

rewrite44.0ms (0.1%)

series866.0ms (2.9%)

simplify158.0ms (0.5%)

prune1.5s (5.2%)

localize28.0ms (0.1%)

rewrite66.0ms (0.2%)

series239.0ms (0.8%)

simplify258.0ms (0.9%)

prune2.0s (6.8%)

regimes3.2s (10.8%)

bsearch6.1s (20.5%)

simplify13.0ms (0%)

end0.0ms (0%)

sample13.6s (45.6%)

Profiling