Details

analyze526.0ms (11.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	17×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify221.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	5230	22

prune3.0ms (0.1%)

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: 27.3b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.4b	(-.f64 (.f64 b c) (.f64 a d))
26.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_3510` `add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
9×	`times-frac_binary64_3494`
7×	`add-log-exp_binary64_3527`
5×	`add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526`
3×	`associate-/r_binary64_3432` `associate-/l_binary64_3433` `pow1_binary64_3549`
2×	`flip3--_binary64_3492` `associate-/l/_binary64_3435` `flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-/r/_binary64_3434` `flip--_binary64_3463`
1×	`clear-num_binary64_3487` `diff-log_binary64_3580` `cancel-sign-sub-inv_binary64_3454` `+-commutative_binary64_3418` `frac-2neg_binary64_3499` `div-exp_binary64_3539` `sum-log_binary64_3579` `cbrt-undiv_binary64_3522` `div-sub_binary64_3493` `div-inv_binary64_3485` `sub-neg_binary64_3481`

Counts

3 → 55

Calls

3 calls:

10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series611.0ms (12.9%)

Counts

3 → 65

Calls

3 calls:

358.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))
157.0ms	(-.f64 (.f64 b c) (.f64 a d))
96.0ms	(+.f64 (.f64 c c) (.f64 d d))

Compiler

Compiled 1469 to 1225 computations (16.6% saved)

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4963	2257
1	4963	2257

prune118.0ms (2.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	111	9	120
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	111	10	121

Merged error: 4.6b

Counts

121 → 10

Compiler

Compiled 2382 to 417 computations (82.5% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(-.f64 (.f64 b c) (.f64 a d))
16.8b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
29.9b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.9b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_3510`
21×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
18×	`times-frac_binary64_3494` `sqrt-prod_binary64_3504`
6×	`associate-/r*_binary64_3432` `sqrt-div_binary64_3505` `add-cbrt-cube_binary64_3524` `add-exp-log_binary64_3526` `add-log-exp_binary64_3527` `pow1_binary64_3549`
3×	`flip-+_binary64_3462` `flip3-+_binary64_3491` `associate-/l*_binary64_3433`
2×	`flip3--_binary64_3492` `associate-/l/_binary64_3435` `associate-/r/_binary64_3434` `pow1/2_binary64_3568` `flip--_binary64_3463` `sqrt-pow1_binary64_3506` `rem-sqrt-square_binary64_3501`
1×	`clear-num_binary64_3487` `diff-log_binary64_3580` `cancel-sign-sub-inv_binary64_3454` `frac-2neg_binary64_3499` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `div-sub_binary64_3493` `div-inv_binary64_3485` `sub-neg_binary64_3481`

Counts

4 → 86

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(-.f64 (.f64 b c) (.f64 a d))

series899.0ms (19%)

Counts

4 → 93

Calls

4 calls:

445.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
174.0ms	(-.f64 (.f64 b c) (.f64 a d))
141.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
140.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

Compiler

Compiled 3869 to 2825 computations (27% saved)

simplify75.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5002	3762

prune170.0ms (3.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	178	11	189

Merged error: 4.6b

Counts

189 → 11

Compiler

Compiled 5819 to 1302 computations (77.6% saved)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune10.0ms (0.2%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	2	2
Total	11	11

Merged error: 4.6b

Counts

11 → 11

Compiler

Compiled 126 to 97 computations (23% saved)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

11 alts after pruning (7 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	3	3
Total	11	11

Merged error: 4.6b

Counts

11 → 11

Compiler

Compiled 0 to 0 computations (0% saved)

regimes645.0ms (13.6%)

Compiler: Compiled 4054 to 2418 computations (40.4% saved)

bsearch76.0ms (1.6%)

Steps

Iters	Range		Point
4	5.473756808635552e+140	8.628528121025358e+140	6.219416782523323e+140
9	2.153185124342943e-126	5.44463872786771e-121	2.6776275404858526e-124
10	-1.6618940515417969e-128	-1.233818740205148e-138	-4.543194765813328e-138
7	-1.3000210288465644e+44	-7.665231850535463e+41	-6.473773710016467e+43

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	81	120
1	81	120

end0.0ms (0%)

sample1.2s (24.6%)

Algorithm

1×

intervals

Results

339.0ms	8000×	body	128	valid
19.0ms	461×	body	128	invalid

Compiler

Compiled 908 to 527 computations (42% saved)

Details

analyze526.0ms (11.1%)

sample23.0ms (0.5%)

simplify221.0ms (4.7%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite23.0ms (0.5%)

series611.0ms (12.9%)

simplify85.0ms (1.8%)

prune118.0ms (2.5%)

localize14.0ms (0.3%)

rewrite35.0ms (0.7%)

series899.0ms (19%)

simplify75.0ms (1.6%)

prune170.0ms (3.6%)

localize4.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune10.0ms (0.2%)

localize3.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

regimes645.0ms (13.6%)

bsearch76.0ms (1.6%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (24.6%)

Profiling