Details

analyze145.0ms (4.5%)

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
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
18.7%	81.1%	0.1%	6
40.6%	59.3%	0.1%	7
45.2%	54.6%	0.1%	8
65.5%	34.3%	0.1%	9
78%	21.8%	0.1%	10
80%	19.5%	0.5%	11
81.7%	17.7%	0.5%	12
87.9%	11.3%	0.8%	13
88.3%	10.1%	1.6%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify219.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	964	10
1	964	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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z y))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_16927` `add-sqr-sqrt_binary64_16948`
25×	`times-frac_binary64_16933`
13×	`add-cube-cbrt_binary64_16959`
12×	`distribute-lft-out--_binary64_16881` `difference-of-squares_binary64_16896`
5×	`associate-/r_binary64_16873` `associate-/l_binary64_16874`
3×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962`
2×	`flip3--_binary64_16931` `associate-/r/_binary64_16875` `flip--_binary64_16902` `associate-/l/_binary64_16876`
1×	`div-inv_binary64_16924` `div-exp_binary64_16975` `pow1_binary64_16985` `frac-2neg_binary64_16938` `div-sub_binary64_16932` `clear-num_binary64_16926` `add-log-exp_binary64_16963` `cbrt-undiv_binary64_16958`

Counts

1 → 52

Calls

1 calls:

9.0ms

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

series98.0ms (3.1%)

Counts

1 → 3

Calls

1 calls:

98.0ms

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

simplify63.0ms (2%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5085	989

prune41.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	52	3	55
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Merged error: 0b

Counts

56 → 3

Compiler

Compiled 825 to 185 computations (77.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 z y))
0.0b	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))

rewrite47.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`*-un-lft-identity_binary64_16927`
38×	`add-sqr-sqrt_binary64_16948`
33×	`times-frac_binary64_16933`
16×	`distribute-lft-out--_binary64_16881`
14×	`add-cube-cbrt_binary64_16959`
10×	`difference-of-squares_binary64_16896`
6×	`associate-/r/_binary64_16875`
5×	`associate-/r*_binary64_16873`
4×	`flip3--_binary64_16931` `add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962` `flip--_binary64_16902` `add-log-exp_binary64_16963`
3×	`div-inv_binary64_16924` `associate-/l*_binary64_16874` `distribute-rgt-out--_binary64_16883`
2×	`pow1_binary64_16985`
1×	`frac-sub_binary64_16936` `div-exp_binary64_16975` `sub-div_binary64_16934` `sub-neg_binary64_16920` `frac-2neg_binary64_16938` `diff-log_binary64_17016` `clear-num_binary64_16926` `cbrt-undiv_binary64_16958`

Counts

2 → 65

Calls

2 calls:

32.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
6.0ms	(/.f64 y (-.f64 z y))

series215.0ms (6.7%)

Counts

2 → 6

Calls

2 calls:

149.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
66.0ms	(/.f64 y (-.f64 z y))

simplify58.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5615	1215

prune49.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	71	3	74

Merged error: 0b

Counts

74 → 3

Compiler

Compiled 1275 to 272 computations (78.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
0.6b	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))

rewrite50.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_16933`
194×	`*-un-lft-identity_binary64_16927` `add-sqr-sqrt_binary64_16948`
90×	`add-cube-cbrt_binary64_16959`
52×	`distribute-lft-out--_binary64_16881` `difference-of-squares_binary64_16896`
36×	`associate-/r*_binary64_16873`
15×	`add-exp-log_binary64_16962`
11×	`associate-/r/_binary64_16875`
9×	`add-cbrt-cube_binary64_16960`
8×	`div-exp_binary64_16975` `associate-/l*_binary64_16874`
6×	`div-inv_binary64_16924` `flip3--_binary64_16931` `flip--_binary64_16902`
4×	`cbrt-undiv_binary64_16958`
3×	`pow1_binary64_16985`
2×	`1-exp_binary64_16968` `rec-exp_binary64_16974` `frac-2neg_binary64_16938` `associate-/l/_binary64_16876` `clear-num_binary64_16926` `add-log-exp_binary64_16963`
1×	`inv-pow_binary64_17009` `pow-flip_binary64_16998` `div-sub_binary64_16932`

Counts

2 → 200

Calls

2 calls:

17.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
9.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

series304.0ms (9.5%)

Counts

2 → 6

Calls

2 calls:

218.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
86.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

simplify101.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5594	4487

prune324.0ms (10.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	206	3	209

Merged error: 0b

Counts

209 → 3

Compiler

Compiled 3631 to 852 computations (76.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 x (-.f64 z y)) (log.f64 (exp.f64 (/.f64 y (-.f64 z y)))))
0.0b	(/.f64 y (-.f64 z y))
0.0b	(exp.f64 (/.f64 y (-.f64 z y)))
2.3b	(log.f64 (exp.f64 (/.f64 y (-.f64 z y))))

rewrite81.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary64_16948`
57×	`*-un-lft-identity_binary64_16927`
46×	`times-frac_binary64_16933`
42×	`exp-prod_binary64_16976`
34×	`add-cube-cbrt_binary64_16959`
23×	`log-pow_binary64_17013`
12×	`distribute-lft-out--_binary64_16881` `difference-of-squares_binary64_16896`
6×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962` `associate-/r/_binary64_16875` `pow1_binary64_16985` `add-log-exp_binary64_16963` `log-prod_binary64_17010`
5×	`associate-/r*_binary64_16873`
4×	`flip3--_binary64_16931` `flip--_binary64_16902`
3×	`div-inv_binary64_16924` `associate--r+_binary64_16865` `associate-/l*_binary64_16874`
1×	`rem-log-exp_binary64_16965` `div-exp_binary64_16975` `rem-exp-log_binary64_16964` `sub-neg_binary64_16920` `frac-2neg_binary64_16938` `diff-log_binary64_17016` `clear-num_binary64_16926` `cbrt-undiv_binary64_16958`

Counts

4 → 117

Calls

4 calls:

46.0ms	(-.f64 (/.f64 x (-.f64 z y)) (log.f64 (exp.f64 (/.f64 y (-.f64 z y)))))
9.0ms	(log.f64 (exp.f64 (/.f64 y (-.f64 z y))))
7.0ms	(exp.f64 (/.f64 y (-.f64 z y)))
6.0ms	(/.f64 y (-.f64 z y))

series432.0ms (13.4%)

Counts

4 → 12

Calls

4 calls:

188.0ms	(-.f64 (/.f64 x (-.f64 z y)) (log.f64 (exp.f64 (/.f64 y (-.f64 z y)))))
100.0ms	(exp.f64 (/.f64 y (-.f64 z y)))
93.0ms	(log.f64 (exp.f64 (/.f64 y (-.f64 z y))))
50.0ms	(/.f64 y (-.f64 z y))

simplify89.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4893	1707
1	4893	1707

prune93.0ms (2.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	129	3	132

Merged error: 0b

Counts

132 → 3

Compiler

Compiled 2411 to 480 computations (80.1% saved)

regimes107.0ms (3.3%)

Compiler: Compiled 704 to 510 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	16
1	27	16

end0.0ms (0%)

sample632.0ms (19.7%)

Algorithm

1×

intervals

Results

208.0ms	8000×	body	128	valid
6.0ms	223×	body	128	invalid

Compiler

Compiled 182 to 131 computations (28% saved)

Details

analyze145.0ms (4.5%)

sample14.0ms (0.4%)

simplify219.0ms (6.8%)

prune2.0ms (0.1%)

localize9.0ms (0.3%)

rewrite14.0ms (0.4%)

series98.0ms (3.1%)

simplify63.0ms (2%)

prune41.0ms (1.3%)

localize6.0ms (0.2%)

rewrite47.0ms (1.5%)

series215.0ms (6.7%)

simplify58.0ms (1.8%)

prune49.0ms (1.5%)

localize7.0ms (0.2%)

rewrite50.0ms (1.6%)

series304.0ms (9.5%)

simplify101.0ms (3.1%)

prune324.0ms (10.1%)

localize9.0ms (0.3%)

rewrite81.0ms (2.5%)

series432.0ms (13.4%)

simplify89.0ms (2.8%)

prune93.0ms (2.9%)

regimes107.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample632.0ms (19.7%)

Profiling