Details

analyze442.0ms (2.7%)

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
0%	99.9%	0.1%	3
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample15.0ms (0.1%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify276.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (182.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	13

prune2.0ms (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: 6.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

6.5b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_23629`
53×	`*-un-lft-identity_binary64_23607`
42×	`times-frac_binary64_23613`
20×	`difference-of-squares_binary64_23576`
15×	`add-cube-cbrt_binary64_23642`
9×	`distribute-lft-out_binary64_23558`
8×	`associate-/r*_binary64_23551`
5×	`distribute-lft-out--_binary64_23559`
4×	`associate-/l*_binary64_23552`
3×	`add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
2×	`associate-/r/_binary64_23553` `associate-/l/_binary64_23554`
1×	`flip-+_binary64_23581` `pow1_binary64_23668` `flip3-+_binary64_23610` `flip--_binary64_23582` `flip3--_binary64_23611` `clear-num_binary64_23606` `cbrt-undiv_binary64_23641` `div-inv_binary64_23604` `add-log-exp_binary64_23646` `frac-2neg_binary64_23618` `div-exp_binary64_23658`

Counts

1 → 60

Calls

1 calls:

12.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series44.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

44.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify86.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4947	1444
1	4947	1444

prune162.0ms (1%)

Pruning

35 alts after pruning (34 fresh and 1 done)

	Pruned	Kept	Total
New	29	34	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	35	64

Merged error: 4.5b

Counts

64 → 35

Compiler

Compiled 1420 to 757 computations (46.7% saved)

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

6.5b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_23629`
53×	`*-un-lft-identity_binary64_23607`
42×	`times-frac_binary64_23613`
20×	`difference-of-squares_binary64_23576`
15×	`add-cube-cbrt_binary64_23642`
9×	`distribute-lft-out_binary64_23558`
8×	`associate-/r*_binary64_23551`
5×	`distribute-lft-out--_binary64_23559`
4×	`associate-/l*_binary64_23552`
3×	`add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
2×	`associate-/r/_binary64_23553` `associate-/l/_binary64_23554`
1×	`flip-+_binary64_23581` `pow1_binary64_23668` `flip3-+_binary64_23610` `flip--_binary64_23582` `flip3--_binary64_23611` `clear-num_binary64_23606` `cbrt-undiv_binary64_23641` `div-inv_binary64_23604` `add-log-exp_binary64_23646` `frac-2neg_binary64_23618` `div-exp_binary64_23658`

Counts

1 → 60

Calls

1 calls:

11.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series49.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

49.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4947	1444
1	4947	1444

prune263.0ms (1.6%)

Pruning

67 alts after pruning (65 fresh and 2 done)

	Pruned	Kept	Total
New	30	33	63
Fresh	1	32	33
Picked	0	1	1
Done	0	1	1
Total	31	67	98

Merged error: 4.5b

Counts

98 → 67

Compiler

Compiled 2202 to 1325 computations (39.8% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.5b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-sqr-sqrt_binary64_23629`
53×	`*-un-lft-identity_binary64_23607`
42×	`times-frac_binary64_23613`
20×	`difference-of-squares_binary64_23576`
15×	`add-cube-cbrt_binary64_23642`
9×	`distribute-lft-out_binary64_23558`
8×	`associate-/r*_binary64_23551`
5×	`distribute-lft-out--_binary64_23559`
4×	`associate-/l*_binary64_23552`
3×	`add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
2×	`associate-/r/_binary64_23553` `associate-/l/_binary64_23554`
1×	`flip-+_binary64_23581` `pow1_binary64_23668` `flip3-+_binary64_23610` `flip--_binary64_23582` `flip3--_binary64_23611` `clear-num_binary64_23606` `cbrt-undiv_binary64_23641` `div-inv_binary64_23604` `add-log-exp_binary64_23646` `frac-2neg_binary64_23618` `div-exp_binary64_23658`

Counts

1 → 60

Calls

1 calls:

12.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

series47.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

47.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

simplify87.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4947	1444
1	4947	1444

prune329.0ms (2%)

Pruning

98 alts after pruning (95 fresh and 3 done)

	Pruned	Kept	Total
New	30	33	63
Fresh	2	62	64
Picked	0	1	1
Done	0	2	2
Total	32	98	130

Merged error: 4.5b

Counts

130 → 98

Compiler

Compiled 3031 to 1945 computations (35.8% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.5b	(/.f64 (neg.f64 (+.f64 x y)) (-.f64 (/.f64 y z) 1))

rewrite36.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

190×	`add-sqr-sqrt_binary64_23629`
159×	`times-frac_binary64_23613`
143×	`*-un-lft-identity_binary64_23607`
52×	`difference-of-squares_binary64_23576`
47×	`add-cube-cbrt_binary64_23642`
44×	`distribute-rgt-neg-in_binary64_23565` `distribute-lft-neg-in_binary64_23564`
26×	`difference-of-sqr-1_binary64_23577`
22×	`distribute-lft-out_binary64_23558`
13×	`distribute-lft-out--_binary64_23559`
12×	`associate-/l*_binary64_23552`
11×	`neg-mul-1_binary64_23603`
10×	`associate-/r*_binary64_23551`
3×	`add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
2×	`associate-/r/_binary64_23553` `associate-/l/_binary64_23554` `distribute-neg-frac_binary64_23571`
1×	`div-sub_binary64_23612` `neg-sub0_binary64_23602` `flip-+_binary64_23581` `pow1_binary64_23668` `flip3-+_binary64_23610` `flip--_binary64_23582` `flip3--_binary64_23611` `clear-num_binary64_23606` `cbrt-undiv_binary64_23641` `div-inv_binary64_23604` `add-log-exp_binary64_23646` `frac-2neg_binary64_23618` `distribute-frac-neg_binary64_23570` `div-exp_binary64_23658`

Counts

1 → 160

Calls

1 calls:

19.0ms

(/.f64 (neg.f64 (+.f64 x y)) (-.f64 (/.f64 y z) 1))

series43.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

43.0ms

(/.f64 (neg.f64 (+.f64 x y)) (-.f64 (/.f64 y z) 1))

simplify99.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5099	4765

prune541.0ms (3.3%)

Pruning

137 alts after pruning (133 fresh and 4 done)

	Pruned	Kept	Total
New	122	41	163
Fresh	2	92	94
Picked	0	1	1
Done	0	3	3
Total	124	137	261

Merged error: 4.5b

Counts

261 → 137

Compiler

Compiled 1819 to 828 computations (54.5% saved)

regimes1.5s (9.5%)

Compiler: Compiled 17055 to 12194 computations (28.5% saved)

bsearch7.5s (46.3%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify41.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	120	83
1	120	83

end0.0ms (0%)

sample4.4s (27.4%)

Algorithm

1×

intervals

Results

250.0ms	7998×	body	128	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 5473 to 3661 computations (33.1% saved)

Pareto

0.3172884956298107

Details

analyze442.0ms (2.7%)

sample15.0ms (0.1%)

simplify276.0ms (1.7%)

prune2.0ms (0%)

localize6.0ms (0%)

rewrite17.0ms (0.1%)

series44.0ms (0.3%)

simplify86.0ms (0.5%)

prune162.0ms (1%)

localize7.0ms (0%)

rewrite17.0ms (0.1%)

series49.0ms (0.3%)

simplify92.0ms (0.6%)

prune263.0ms (1.6%)

localize8.0ms (0.1%)

rewrite17.0ms (0.1%)

series47.0ms (0.3%)

simplify87.0ms (0.5%)

prune329.0ms (2%)

localize9.0ms (0.1%)

rewrite36.0ms (0.2%)

series43.0ms (0.3%)

simplify99.0ms (0.6%)

prune541.0ms (3.3%)

regimes1.5s (9.5%)

bsearch7.5s (46.3%)

simplify41.0ms (0.3%)

end0.0ms (0%)

sample4.4s (27.4%)

Profiling