Details

analyze478.0ms (7.8%)

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
12.5%	87.3%	0.2%	7
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
43.7%	56.1%	0.2%	11
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample20.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
0.0ms	12×	body	128	invalid

Compiler

Compiled 23 to 25 computations (-8.7% saved)

simplify264.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (165.0ms)

Iter	Nodes	Cost
0	5014	16

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: 0.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 y t))
8.0b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_6238`
12×	`*-un-lft-identity_binary64_6216` `flip3--_binary64_6220` `flip--_binary64_6191`
9×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
8×	`associate-/r/_binary64_6162` `add-cube-cbrt_binary64_6251` `frac-times_binary64_6226`
6×	`cancel-sign-sub-inv_binary64_6182`
5×	`associate-r_binary64_6156` `associate-l_binary64_6157`
4×	`distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165` `associate-l/_binary64_6159` `associate-r/_binary64_6158` `pow1_binary64_6277`
3×	`associate-/l*_binary64_6161` `times-frac_binary64_6222`
2×	`difference-of-squares_binary64_6185` `cbrt-undiv_binary64_6250` `distribute-lft-out--_binary64_6168` `prod-exp_binary64_6265` `sub-neg_binary64_6209` `div-exp_binary64_6267` `cbrt-unprod_binary64_6249` `add-log-exp_binary64_6255`
1×	`div-inv_binary64_6213` `associate-/r_binary64_6160` `clear-num_binary64_6215` `unswap-sqr_binary64_6184` `pow-prod-down_binary64_6287` `frac-2neg_binary64_6227` `-commutative_binary64_6147`

Counts

2 → 67

Calls

2 calls:

11.0ms	(*.f64 (-.f64 y z) (-.f64 y t))
10.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))

series507.0ms (8.2%)

Counts

2 → 41

Calls

2 calls:

343.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 y t)))
164.0ms	(*.f64 (-.f64 y z) (-.f64 y t))

Compiler

Compiled 1622 to 1226 computations (24.4% saved)

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5600	1881

prune93.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	3	109

Merged error: 0b

Counts

109 → 3

Compiler

Compiled 1928 to 651 computations (66.2% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 y t))
0.6b	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
2.2b	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))

rewrite167.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

1260×	`times-frac_binary64_6222`
844×	`*-un-lft-identity_binary64_6216` `add-sqr-sqrt_binary64_6238`
468×	`add-cube-cbrt_binary64_6251`
188×	`difference-of-squares_binary64_6185` `distribute-lft-out--_binary64_6168`
136×	`associate-/r*_binary64_6160`
60×	`associate-/r/_binary64_6162`
33×	`div-inv_binary64_6213`
31×	`add-exp-log_binary64_6254`
28×	`flip3--_binary64_6220` `flip--_binary64_6191`
19×	`div-exp_binary64_6267` `add-cbrt-cube_binary64_6252`
11×	`associate-/l*_binary64_6161`
10×	`cbrt-undiv_binary64_6250`
4×	`pow1_binary64_6277`
3×	`rec-exp_binary64_6266` `1-exp_binary64_6260` `clear-num_binary64_6215` `frac-2neg_binary64_6227` `add-log-exp_binary64_6255`
2×	`associate-/l/_binary64_6163`
1×	`pow-flip_binary64_6290` `inv-pow_binary64_6301` `div-sub_binary64_6221`

Counts

3 → 654

Calls

3 calls:

34.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
13.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
6.0ms	(/.f64 x (-.f64 y t))

series770.0ms (12.5%)

Counts

3 → 59

Calls

3 calls:

340.0ms	(/.f64 1 (/.f64 (-.f64 y z) (/.f64 x (-.f64 y t))))
331.0ms	(/.f64 (-.f64 y z) (/.f64 x (-.f64 y t)))
98.0ms	(/.f64 x (-.f64 y t))

Compiler

Compiled 2362 to 1814 computations (23.2% saved)

simplify231.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

713 → 713

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4996	21881
1	4996	21881

prune710.0ms (11.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	713	0	713
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	713	3	716

Merged error: 0b

Counts

716 → 3

Compiler

Compiled 18367 to 5107 computations (72.2% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
2.7b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

210×	`times-frac_binary64_6222`
176×	`*-un-lft-identity_binary64_6216` `add-sqr-sqrt_binary64_6238`
88×	`add-cube-cbrt_binary64_6251`
44×	`difference-of-squares_binary64_6185` `distribute-lft-out--_binary64_6168`
24×	`associate-/l*_binary64_6161`
16×	`associate-/r/_binary64_6162`
10×	`associate-/r*_binary64_6160`
9×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
8×	`div-inv_binary64_6213` `flip3--_binary64_6220` `flip--_binary64_6191`
4×	`cbrt-undiv_binary64_6250` `div-exp_binary64_6267`
2×	`clear-num_binary64_6215` `frac-2neg_binary64_6227` `add-log-exp_binary64_6255` `pow1_binary64_6277`
1×	`associate-/l/_binary64_6163`

Counts

2 → 185

Calls

2 calls:

14.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
6.0ms	(/.f64 x (-.f64 y z))

series425.0ms (6.9%)

Counts

2 → 33

Calls

2 calls:

340.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 y t))
84.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 1487 to 1117 computations (24.9% saved)

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5203	5343

prune160.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	218	0	218
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	218	3	221

Merged error: 0b

Counts

221 → 3

Compiler

Compiled 4582 to 1113 computations (75.7% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (+.f64 z t))
1.3b	(-.f64 (.f64 z t) (.f64 y (+.f64 z t)))
6.9b	(/.f64 x (-.f64 (.f64 z t) (.f64 y (+.f64 z t))))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_6216` `add-sqr-sqrt_binary64_6238`
13×	`add-cube-cbrt_binary64_6251`
9×	`times-frac_binary64_6222`
7×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
5×	`add-log-exp_binary64_6255` `pow1_binary64_6277`
4×	`associate-r_binary64_6156`
3×	`associate-/r_binary64_6160` `associate-/l_binary64_6161` `associate-l_binary64_6157`
2×	`associate--r+_binary64_6152` `associate-/r/_binary64_6162` `flip3--_binary64_6220` `distribute-rgt-in_binary64_6166` `distribute-lft-in_binary64_6165` `associate-*r/_binary64_6158` `flip--_binary64_6191`
1×	`div-inv_binary64_6213` `clear-num_binary64_6215` `cancel-sign-sub-inv_binary64_6182` `cbrt-undiv_binary64_6250` `distribute-lft-out_binary64_6167` `unswap-sqr_binary64_6184` `prod-exp_binary64_6265` `flip-+_binary64_6190` `pow-prod-down_binary64_6287` `diff-log_binary64_6308` `frac-2neg_binary64_6227` `sub-neg_binary64_6209` `div-exp_binary64_6267` `cbrt-unprod_binary64_6249` `flip3-+_binary64_6219` `*-commutative_binary64_6147`

Counts

3 → 66

Calls

3 calls:

7.0ms	(*.f64 y (+.f64 z t))
6.0ms	(/.f64 x (-.f64 (.f64 z t) (.f64 y (+.f64 z t))))
4.0ms	(-.f64 (.f64 z t) (.f64 y (+.f64 z t)))

series516.0ms (8.4%)

Counts

3 → 50

Calls

3 calls:

252.0ms	(/.f64 x (-.f64 (.f64 z t) (.f64 y (+.f64 z t))))
174.0ms	(-.f64 (.f64 z t) (.f64 y (+.f64 z t)))
90.0ms	(*.f64 y (+.f64 z t))

Compiler

Compiled 1386 to 1112 computations (19.8% saved)

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4983	1826
1	4983	1826

prune80.0ms (1.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	116	3	119

Merged error: 0b

Counts

119 → 3

Compiler

Compiled 2009 to 594 computations (70.4% saved)

regimes262.0ms (4.3%)

Compiler: Compiled 2253 to 1867 computations (17.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	16
1	45	16

end0.0ms (0%)

sample1.1s (18.3%)

Algorithm

1×

intervals

Results

515.0ms	8000×	body	128	valid
16.0ms	410×	body	128	invalid

Compiler

Compiled 336 to 280 computations (16.7% saved)

Details

analyze478.0ms (7.8%)

sample20.0ms (0.3%)

simplify264.0ms (4.3%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite26.0ms (0.4%)

series507.0ms (8.2%)

simplify49.0ms (0.8%)

prune93.0ms (1.5%)

localize9.0ms (0.1%)

rewrite167.0ms (2.7%)

series770.0ms (12.5%)

simplify231.0ms (3.8%)

prune710.0ms (11.5%)

localize9.0ms (0.1%)

rewrite47.0ms (0.8%)

series425.0ms (6.9%)

simplify98.0ms (1.6%)

prune160.0ms (2.6%)

localize8.0ms (0.1%)

rewrite21.0ms (0.3%)

series516.0ms (8.4%)

simplify63.0ms (1%)

prune80.0ms (1.3%)

regimes262.0ms (4.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.1s (18.3%)

Profiling