Details

analyze140.0ms (4.2%)

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)

sample13.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify72.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

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)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
5×	`associate-/r_binary64` `associate-/l_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `flip--_binary64`
1×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

1 → 52

Calls

1 calls:

10.0ms

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

series96.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

96.0ms

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

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4910	989
1	4910	989

prune71.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	51	4	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	5	56

Merged error: 0.0b

Counts

56 → 5

Compiler

Compiled 1374 to 499 computations (63.7% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite57.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`*-un-lft-identity_binary64`
72×	`add-sqr-sqrt_binary64`
63×	`times-frac_binary64`
34×	`add-cube-cbrt_binary64`
23×	`distribute-lft-out--_binary64`
21×	`cancel-sign-sub-inv_binary64`
17×	`difference-of-squares_binary64`
10×	`associate-/r*_binary64` `associate-/r/_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
5×	`add-log-exp_binary64` `div-inv_binary64`
3×	`pow1_binary64` `distribute-rgt-out--_binary64`
2×	`cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `sub-div_binary64` `frac-sub_binary64`

Counts

3 → 123

Calls

3 calls:

34.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
6.0ms	(/.f64 y (-.f64 z y))
6.0ms	(/.f64 x (-.f64 z y))

series357.0ms (10.7%)

Counts

3 → 9

Calls

3 calls:

153.0ms	(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y)))
132.0ms	(/.f64 y (-.f64 z y))
72.0ms	(/.f64 x (-.f64 z y))

simplify81.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5907	1984

prune93.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	132	0	132
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	132	5	137

Merged error: 0.0b

Counts

137 → 5

Compiler

Compiled 2381 to 502 computations (78.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z y) (-.f64 x y))
0.3b	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))

rewrite51.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64`
194×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
90×	`add-cube-cbrt_binary64`
52×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
36×	`associate-/r*_binary64`
12×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
9×	`add-cbrt-cube_binary64`
8×	`associate-/l*_binary64`
6×	`flip3--_binary64` `div-inv_binary64` `flip--_binary64`
5×	`div-exp_binary64`
4×	`cbrt-undiv_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`div-sub_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

2 → 198

Calls

2 calls:

15.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
13.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

series289.0ms (8.7%)

Counts

2 → 6

Calls

2 calls:

207.0ms	(/.f64 1 (/.f64 (-.f64 z y) (-.f64 x y)))
82.0ms	(/.f64 (-.f64 z y) (-.f64 x y))

simplify100.0ms (3%)

Algorithm

1×	egg-herbie

Counts

204 → 204

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5462	4463

prune148.0ms (4.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	203	1	204
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	204	5	209

Merged error: 0.0b

Counts

209 → 5

Compiler

Compiled 3702 to 914 computations (75.3% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
0.5b	(cbrt.f64 (-.f64 z y))
0.5b	(cbrt.f64 (-.f64 z y))
0.5b	(cbrt.f64 (-.f64 z y))

rewrite35.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`cbrt-prod_binary64`
37×	`add-sqr-sqrt_binary64`
35×	`*-un-lft-identity_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
10×	`swap-sqr_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
7×	`difference-of-squares_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 101

Calls

4 calls:

14.0ms	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
4.0ms	(cbrt.f64 (-.f64 z y))
4.0ms	(cbrt.f64 (-.f64 z y))
4.0ms	(cbrt.f64 (-.f64 z y))

series889.0ms (26.7%)

Counts

4 → 12

Calls

4 calls:

247.0ms	(*.f64 (cbrt.f64 (-.f64 z y)) (cbrt.f64 (-.f64 z y)))
218.0ms	(cbrt.f64 (-.f64 z y))
213.0ms	(cbrt.f64 (-.f64 z y))
211.0ms	(cbrt.f64 (-.f64 z y))

simplify63.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5254	1620

prune110.0ms (3.3%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	112	6	118

Merged error: 0b

Counts

118 → 6

Compiler

Compiled 2947 to 851 computations (71.1% saved)

regimes55.0ms (1.6%)

Compiler: Compiled 368 to 258 computations (29.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample493.0ms (14.8%)

Algorithm

1×

intervals

Results

196.0ms	8000×	body	128	valid
5.0ms	218×	body	128	invalid

Compiler

Compiled 113 to 80 computations (29.2% saved)

Details

analyze140.0ms (4.2%)

sample13.0ms (0.4%)

simplify72.0ms (2.2%)

prune2.0ms (0.1%)

localize8.0ms (0.2%)

rewrite15.0ms (0.4%)

series96.0ms (2.9%)

simplify66.0ms (2%)

prune71.0ms (2.1%)

localize7.0ms (0.2%)

rewrite57.0ms (1.7%)

series357.0ms (10.7%)

simplify81.0ms (2.4%)

prune93.0ms (2.8%)

localize7.0ms (0.2%)

rewrite51.0ms (1.5%)

series289.0ms (8.7%)

simplify100.0ms (3%)

prune148.0ms (4.4%)

localize10.0ms (0.3%)

rewrite35.0ms (1.1%)

series889.0ms (26.7%)

simplify63.0ms (1.9%)

prune110.0ms (3.3%)

regimes55.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample493.0ms (14.8%)

Profiling