Details

analyze220.0ms (7.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	20
1	19	20
0	2	2
1	2	2

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
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample19.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	10×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	10
1	12	10

prune2.0ms (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

Error

5.8b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.2b

(/.f64 x (*.f64 y y))

rewrite36.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616`
3×	`add-cube-cbrt_binary64_7615` `add-sqr-sqrt_binary64_7602` `times-frac_binary64_7586` `-un-lft-identity_binary64_7580` `associate-/l_binary64_7525`
2×	`div-exp_binary64_7631` `cbrt-undiv_binary64_7614`
1×	`pow1_binary64_7641` `prod-exp_binary64_7629` `add-log-exp_binary64_7619` `cbrt-unprod_binary64_7613` `frac-2neg_binary64_7591` `clear-num_binary64_7579` `div-inv_binary64_7577` `associate-/r*_binary64_7524`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/.f64 x (*.f64 y y))

Compiler

Compiled 256 to 108 computations (57.8% saved)

series98.0ms (3.2%)

Error

5.8b

Counts

1 → 6

Calls

1 calls:

94.0ms

(/.f64 x (*.f64 y y))

Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	6109	244

prune36.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	4	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Error

0.0b

Counts

28 → 5

Compiler

Compiled 312 to 139 computations (55.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (/.f64 x y) y)

rewrite84.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

75×	`times-frac_binary64_7586`
43×	`add-cube-cbrt_binary64_7615` `add-sqr-sqrt_binary64_7602` `*-un-lft-identity_binary64_7580`
13×	`associate-/l*_binary64_7525`
6×	`add-exp-log_binary64_7618` `add-cbrt-cube_binary64_7616`
5×	`div-inv_binary64_7577`
3×	`div-exp_binary64_7631` `cbrt-undiv_binary64_7614` `associate-/r*_binary64_7524`
1×	`pow1_binary64_7641` `add-log-exp_binary64_7619` `frac-2neg_binary64_7591` `clear-num_binary64_7579` `associate-/l/_binary64_7527`

Counts

1 → 70

Calls

1 calls:

6.0ms

(/.f64 (/.f64 x y) y)

Compiler

Compiled 1151 to 418 computations (63.7% saved)

series96.0ms (3.2%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

92.0ms

(/.f64 (/.f64 x y) y)

Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify92.0ms (3%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4763	1090
1	4763	1090

prune76.0ms (2.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	75	6	81

Error

Counts

81 → 6

Compiler

Compiled 1088 to 459 computations (57.8% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 y (/.f64 x y))
0.6b	(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite380.0ms (12.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

471×	`times-frac_binary64_7586`
229×	`add-cube-cbrt_binary64_7615` `add-sqr-sqrt_binary64_7602` `*-un-lft-identity_binary64_7580`
57×	`associate-/r*_binary64_7524`
28×	`add-exp-log_binary64_7618`
22×	`div-inv_binary64_7577`
18×	`div-exp_binary64_7631`
16×	`add-cbrt-cube_binary64_7616`
9×	`cbrt-undiv_binary64_7614`
6×	`associate-/r/_binary64_7526` `associate-/l*_binary64_7525`
3×	`pow1_binary64_7641` `1-exp_binary64_7624` `rec-exp_binary64_7630`
2×	`add-log-exp_binary64_7619` `frac-2neg_binary64_7591` `clear-num_binary64_7579`
1×	`inv-pow_binary64_7665` `pow-flip_binary64_7654`

Counts

2 → 274

Calls

2 calls:

13.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
6.0ms	(/.f64 y (/.f64 x y))

Compiler

Compiled 5823 to 2541 computations (56.4% saved)

series197.0ms (6.5%)

Error

Counts

2 → 12

Calls

2 calls:

105.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
85.0ms	(/.f64 y (/.f64 x y))

Compiler

Compiled 288 to 266 computations (7.6% saved)

simplify132.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

286 → 286

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5068	5036

prune262.0ms (8.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	285	1	286
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	286	6	292

Error

Counts

292 → 6

Compiler

Compiled 4689 to 2066 computations (55.9% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 y (/.f64 y x))
0.6b	(/.f64 1 (*.f64 y (/.f64 y x)))

rewrite74.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-exp-log_binary64_7618`
17×	`add-sqr-sqrt_binary64_7602`
16×	`add-cbrt-cube_binary64_7616`
13×	`times-frac_binary64_7586` `associate-r_binary64_7520`
12×	`add-cube-cbrt_binary64_7615` `*-un-lft-identity_binary64_7580`
10×	`div-exp_binary64_7631`
8×	`prod-exp_binary64_7629`
7×	`pow1_binary64_7641`
5×	`cbrt-undiv_binary64_7614`
4×	`cbrt-unprod_binary64_7613`
3×	`1-exp_binary64_7624` `rec-exp_binary64_7630` `associate-/l_binary64_7525` `associate-l*_binary64_7521`
2×	`pow-prod-down_binary64_7651` `pow-flip_binary64_7654` `add-log-exp_binary64_7619` `div-inv_binary64_7577` `associate-*r/_binary64_7522` `unswap-sqr_binary64_7548`
1×	`inv-pow_binary64_7665` `frac-2neg_binary64_7591` `clear-num_binary64_7579` `associate-/r/_binary64_7526` `associate-/r_binary64_7524` `-commutative_binary64_7511`

Counts

2 → 65

Calls

2 calls:

8.0ms	(/.f64 1 (*.f64 y (/.f64 y x)))
7.0ms	(*.f64 y (/.f64 y x))

Compiler

Compiled 964 to 464 computations (51.9% saved)

series205.0ms (6.8%)

Error

Counts

2 → 12

Calls

2 calls:

107.0ms	(/.f64 1 (*.f64 y (/.f64 y x)))
89.0ms	(*.f64 y (/.f64 y x))

Compiler

Compiled 288 to 266 computations (7.6% saved)

simplify84.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4890	674
1	4890	674

prune52.0ms (1.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	77	6	83

Error

Counts

83 → 6

Compiler

Compiled 878 to 398 computations (54.7% saved)

regimes241.0ms (7.9%)

Accuracy

Total 0.1b remaining (87.7%)

Threshold costs 0.1b (87.7%)

Compiler

Compiled 1922 to 1373 computations (28.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

end1.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

sample548.0ms (18.1%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	128	valid
20.0ms	413×	body	128	invalid

Compiler

Compiled 78 to 69 computations (11.5% saved)

Details

analyze220.0ms (7.3%)

sample19.0ms (0.6%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite36.0ms (1.2%)

series98.0ms (3.2%)

simplify70.0ms (2.3%)

prune36.0ms (1.2%)

localize4.0ms (0.1%)

rewrite84.0ms (2.8%)

series96.0ms (3.2%)

simplify92.0ms (3%)

prune76.0ms (2.5%)

localize6.0ms (0.2%)

rewrite380.0ms (12.5%)

series197.0ms (6.5%)

simplify132.0ms (4.3%)

prune262.0ms (8.6%)

localize6.0ms (0.2%)

rewrite74.0ms (2.4%)

series205.0ms (6.8%)

simplify84.0ms (2.8%)

prune52.0ms (1.7%)

regimes241.0ms (7.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end1.0ms (0%)

sample548.0ms (18.1%)

Profiling