Details

analyze1.1s (6.6%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4975	144
1	4975	144
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	74.9%	25.1%	5
0%	74.9%	25.1%	5
0%	74.9%	25.1%	6
0%	74.9%	25.1%	6
0%	74.9%	25.1%	7
0%	74.9%	25.1%	7
6.2%	56.2%	37.6%	8
6.2%	56.2%	37.6%	8
7.8%	53%	39.2%	9
7.8%	53%	39.2%	9
10.9%	45.6%	43.4%	10
10.9%	45.6%	43.4%	10
18.3%	31.4%	50.3%	11
18.3%	31.4%	50.3%	11
19.1%	29.5%	51.3%	12
19.1%	29.5%	51.3%	12
21.4%	24.8%	53.8%	13
21.4%	24.8%	53.8%	13
25.8%	16.7%	57.5%	14
25.8%	16.7%	57.5%	14

Compiler

Compiled 50 to 42 computations (16% saved)

sample2.4s (14.5%)

Algorithm

2×

intervals

Results

53.0ms	744×	body	128	nan
37.0ms	512×	body	128	valid
21.0ms	244×	body	128	invalid

Compiler

Compiled 18874 to 18116 computations (4% saved)

simplify103.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4823	36
1	4823	36

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

3.7b

Counts

2 → 1

Compiler

Compiled 48 to 40 computations (16.7% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
0.1b	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
3.4b	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)

rewrite260.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

3.5b

Rules

26×	`add-sqr-sqrt_binary64_12376` `*-un-lft-identity_binary64_12354`
22×	`add-cube-cbrt_binary64_12389`
18×	`log-prod_binary64_12440`
12×	`associate--l+_binary64_12291`
11×	`add-log-exp_binary64_12393`
10×	`associate-+l+_binary64_12287`
9×	`times-frac_binary64_12360` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303`
8×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
7×	`pow1_binary64_12415`
6×	`cancel-sign-sub-inv_binary64_12320`
5×	`associate-l_binary64_12295`
4×	`associate-r_binary64_12294`
3×	`associate-/l_binary64_12299` `associate-/r_binary64_12298`
2×	`flip3-+_binary64_12357` `associate-/l/_binary64_12301` `flip-+_binary64_12328` `flip3--_binary64_12358` `associate-*l/_binary64_12297` `flip--_binary64_12329` `diff-log_binary64_12446` `sum-log_binary64_12445` `sub-neg_binary64_12347`
1×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `frac-2neg_binary64_12365` `clear-num_binary64_12353` `div-inv_binary64_12351` `pow-prod-down_binary64_12425` `prod-exp_binary64_12403` `cbrt-unprod_binary64_12387` `unswap-sqr_binary64_12322` `difference-of-squares_binary64_12323` `distribute-lft-out--_binary64_12306` `log-pow_binary64_12443` `*-commutative_binary64_12285` `distribute-lft-out_binary64_12305` `associate-+l-_binary64_12289` `+-commutative_binary64_12284`

Counts

4 → 102

Calls

4 calls:

12.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
11.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
8.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
7.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 3459 to 2298 computations (33.6% saved)

series1.1s (6.4%)

Error

2.0b

Counts

4 → 33

Calls

4 calls:

528.0ms	(/.f64 (+.f64 (.f64 (-.f64 (.f64 (+.f64 y 7320129949063637/9223372036854775808) z) 3202559735019045/1152921504606846976) z) 6004799503160637/72057594037927936) x)
179.0ms	(+.f64 (-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x) 2069265617858471/2251799813685248)
176.0ms	(-.f64 (*.f64 (-.f64 x 1/2) (log.f64 x)) x)
130.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))

Compiler

Compiled 2447 to 1892 computations (22.7% saved)

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4967	2450
1	4967	2450

prune283.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	124	11	135
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	11	136

Error

1.6b

Counts

136 → 11

Compiler

Compiled 4363 to 2918 computations (33.1% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
4.1b	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
9.1b	(/.f64 (*.f64 z z) x)

rewrite251.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

34×	`add-sqr-sqrt_binary64_12376`
25×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `*-un-lft-identity_binary64_12354`
21×	`add-cube-cbrt_binary64_12389` `associate-r_binary64_12294`
17×	`times-frac_binary64_12360`
15×	`associate-l_binary64_12295`
11×	`pow1_binary64_12415`
8×	`prod-exp_binary64_12403` `cbrt-unprod_binary64_12387`
6×	`log-prod_binary64_12440`
5×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `unswap-sqr_binary64_12322`
4×	`add-log-exp_binary64_12393` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303`
3×	`div-inv_binary64_12351` `associate-/r_binary64_12298` `pow-prod-down_binary64_12425` `associate-l/_binary64_12297` `associate-r/_binary64_12296` `-commutative_binary64_12285`
2×	`flip3-+_binary64_12357` `frac-times_binary64_12364` `flip-+_binary64_12328`
1×	`frac-2neg_binary64_12365` `clear-num_binary64_12353` `associate-/l*_binary64_12299` `distribute-lft-out_binary64_12305` `flip3--_binary64_12358` `flip--_binary64_12329` `difference-of-squares_binary64_12323` `distribute-lft-out--_binary64_12306` `log-pow_binary64_12443`

Counts

4 → 117

Calls

4 calls:

9.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
7.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
7.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
5.0ms	(/.f64 (*.f64 z z) x)

Compiler

Compiled 4325 to 2336 computations (46% saved)

series627.0ms (3.7%)

Error

1.6b

Counts

4 → 29

Calls

4 calls:

257.0ms	(.f64 (/.f64 (.f64 z z) x) (+.f64 7320129949063637/9223372036854775808 y))
113.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
113.0ms	(/.f64 (*.f64 z z) x)
99.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2579 to 1868 computations (27.6% saved)

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4949	1739
1	4949	1739

prune277.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	142	4	146
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	145	12	157

Error

0.0b

Counts

157 → 12

Compiler

Compiled 5353 to 3005 computations (43.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 x 1/2) (log.f64 x))
0.2b	(*.f64 z (/.f64 z x))
0.2b	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))
4.1b	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite279.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

39×	`add-sqr-sqrt_binary64_12376`
34×	`associate-r_binary64_12294`
29×	`*-un-lft-identity_binary64_12354`
25×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390` `add-cube-cbrt_binary64_12389`
20×	`times-frac_binary64_12360`
16×	`pow1_binary64_12415`
12×	`associate-l_binary64_12295`
10×	`prod-exp_binary64_12403` `cbrt-unprod_binary64_12387`
7×	`associate-*r/_binary64_12296`
6×	`pow-prod-down_binary64_12425` `log-prod_binary64_12440`
5×	`unswap-sqr_binary64_12322`
4×	`add-log-exp_binary64_12393` `distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303` `*-commutative_binary64_12285`
3×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `associate-*l/_binary64_12297`
2×	`flip3-+_binary64_12357` `frac-times_binary64_12364` `flip-+_binary64_12328` `div-inv_binary64_12351`
1×	`distribute-lft-out_binary64_12305` `flip3--_binary64_12358` `flip--_binary64_12329` `difference-of-squares_binary64_12323` `distribute-lft-out--_binary64_12306` `log-pow_binary64_12443`

Counts

4 → 121

Calls

4 calls:

9.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
8.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
7.0ms	(*.f64 z (/.f64 z x))
7.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 4487 to 2403 computations (46.4% saved)

series613.0ms (3.6%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

266.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
110.0ms	(*.f64 (-.f64 x 1/2) (log.f64 x))
105.0ms	(*.f64 z (/.f64 z x))
90.0ms	(*.f64 3202559735019045/1152921504606846976 (/.f64 z x))

Compiler

Compiled 2579 to 1847 computations (28.4% saved)

simplify67.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4972	1731
1	4972	1731

prune290.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	147	3	150
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	151	11	162

Error

0.0b

Counts

162 → 11

Compiler

Compiled 5469 to 3052 computations (44.2% saved)

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 2 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
4.1b	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))

rewrite298.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

36×	`log-prod_binary64_12440`
31×	`distribute-rgt-in_binary64_12304` `distribute-lft-in_binary64_12303`
24×	`cbrt-prod_binary64_12385` `associate-+l+_binary64_12287`
21×	`*-un-lft-identity_binary64_12354`
19×	`add-cube-cbrt_binary64_12389` `add-sqr-sqrt_binary64_12376`
13×	`add-exp-log_binary64_12392` `add-cbrt-cube_binary64_12390`
12×	`associate-+r+_binary64_12286`
9×	`pow1_binary64_12415` `associate-r/_binary64_12296` `associate-l/_binary64_12297`
7×	`flip3-+_binary64_12357` `flip-+_binary64_12328`
6×	`add-log-exp_binary64_12393`
5×	`prod-exp_binary64_12403` `cbrt-unprod_binary64_12387`
4×	`associate-r_binary64_12294` `frac-add_binary64_12362`
3×	`pow-prod-down_binary64_12425`
2×	`frac-times_binary64_12364` `pow1/3_binary64_12436`
1×	`div-exp_binary64_12405` `cbrt-undiv_binary64_12388` `associate-l_binary64_12295` `distribute-lft-out_binary64_12305` `*-commutative_binary64_12285` `sum-log_binary64_12445` `distribute-lft1-in_binary64_12309` `+-commutative_binary64_12284`

Counts

4 → 102

Calls

4 calls:

14.0ms	(+.f64 (.f64 2 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))
10.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 5273 to 2900 computations (45% saved)

series942.0ms (5.6%)

Error

0.0b

Counts

4 → 23

Calls

4 calls:

364.0ms	(+.f64 (.f64 2 (.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x)))) (*.f64 (+.f64 x -1/2) (log.f64 (cbrt.f64 x))))
289.0ms	(.f64 (.f64 z (/.f64 z x)) (+.f64 7320129949063637/9223372036854775808 y))
120.0ms	(cbrt.f64 x)
115.0ms	(cbrt.f64 x)

Compiler

Compiled 2702 to 1929 computations (28.6% saved)

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4984	1854
1	4984	1854

prune292.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	126	10	136

Error

0.0b

Counts

136 → 10

Compiler

Compiled 5526 to 3060 computations (44.6% saved)

regimes2.3s (13.7%)

Accuracy

Total 0.4b remaining (98.1%)

Threshold costs 0.4b (98.1%)

Compiler

Compiled 31220 to 24125 computations (22.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	80	45
1	80	45

end0.0ms (0%)

sample5.0s (29.7%)

Algorithm

1×

intervals

Results

743.0ms	11931×	body	128	nan
576.0ms	8000×	body	128	valid
271.0ms	3812×	body	128	invalid

Compiler

Compiled 3726 to 2866 computations (23.1% saved)

Details

analyze1.1s (6.6%)

sample2.4s (14.5%)

simplify103.0ms (0.6%)

prune7.0ms (0%)

localize17.0ms (0.1%)

rewrite260.0ms (1.5%)

series1.1s (6.4%)

simplify70.0ms (0.4%)

prune283.0ms (1.7%)

localize21.0ms (0.1%)

rewrite251.0ms (1.5%)

series627.0ms (3.7%)

simplify86.0ms (0.5%)

prune277.0ms (1.6%)

localize19.0ms (0.1%)

rewrite279.0ms (1.7%)

series613.0ms (3.6%)

simplify67.0ms (0.4%)

prune290.0ms (1.7%)

localize23.0ms (0.1%)

rewrite298.0ms (1.8%)

series942.0ms (5.6%)

simplify74.0ms (0.4%)

prune292.0ms (1.7%)

regimes2.3s (13.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.0s (29.7%)

Profiling