Details

analyze2.3s (27.4%)

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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
7.8%	92%	0.2%	11
11.7%	88.1%	0.2%	12
17.9%	81.8%	0.2%	13
22.6%	77.2%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample45.0ms (0.5%)

Algorithm

1×

intervals

Results

20.0ms	252×	body	128	valid
2.0ms	23×	body	128	invalid
1.0ms	3×	body	2048	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify402.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (238.0ms)

Iter	Nodes	Cost
0	5048	19

prune13.0ms (0.2%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize18.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 60 (-.f64 x y))
0.2b	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))

rewrite45.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_24652`
14×	`*-un-lft-identity_binary64_24630`
9×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666`
8×	`add-cube-cbrt_binary64_24665`
6×	`cancel-sign-sub-inv_binary64_24596`
5×	`times-frac_binary64_24636` `associate-r_binary64_24570` `associate-/r*_binary64_24574`
4×	`pow1_binary64_24691` `distribute-rgt-in_binary64_24580` `distribute-lft-in_binary64_24579` `associate-*r/_binary64_24572`
3×	`associate-l_binary64_24571` `flip--_binary64_24605` `difference-of-squares_binary64_24599` `distribute-lft-out--_binary64_24582` `flip3--_binary64_24634`
2×	`prod-exp_binary64_24679` `div-exp_binary64_24681` `associate-/l/_binary64_24577` `sub-neg_binary64_24623` `cbrt-undiv_binary64_24664` `cbrt-unprod_binary64_24663` `add-log-exp_binary64_24669` `associate-/r/_binary64_24576`
1×	`associate-/l_binary64_24575` `frac-2neg_binary64_24641` `pow-prod-down_binary64_24701` `unswap-sqr_binary64_24598` `div-inv_binary64_24627` `clear-num_binary64_24629` `-commutative_binary64_24561`

Counts

2 → 59

Calls

2 calls:

21.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
15.0ms	(*.f64 60 (-.f64 x y))

series159.0ms (1.9%)

Counts

2 → 6

Calls

2 calls:

123.0ms	(/.f64 (*.f64 60 (-.f64 x y)) (-.f64 z t))
35.0ms	(*.f64 60 (-.f64 x y))

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5910	760

prune124.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	62	3	65
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	62	4	66

Merged error: 0.0b

Counts

66 → 4

Compiler

Compiled 1147 to 606 computations (47.2% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 z t) (-.f64 x y))
0.3b	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))

rewrite92.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_24636`
194×	`*-un-lft-identity_binary64_24630` `add-sqr-sqrt_binary64_24652`
90×	`add-cube-cbrt_binary64_24665`
52×	`difference-of-squares_binary64_24599` `distribute-lft-out--_binary64_24582`
36×	`associate-/r*_binary64_24574`
11×	`associate-/r/_binary64_24576`
9×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666`
8×	`associate-/l*_binary64_24575`
6×	`flip--_binary64_24605` `div-inv_binary64_24627` `flip3--_binary64_24634`
4×	`div-exp_binary64_24681` `cbrt-undiv_binary64_24664`
2×	`frac-2neg_binary64_24641` `pow1_binary64_24691` `associate-/l/_binary64_24577` `clear-num_binary64_24629` `add-log-exp_binary64_24669`
1×	`div-sub_binary64_24635`

Counts

2 → 194

Calls

2 calls:

26.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
17.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

series500.0ms (6%)

Counts

2 → 6

Calls

2 calls:

406.0ms	(/.f64 60 (/.f64 (-.f64 z t) (-.f64 x y)))
93.0ms	(/.f64 (-.f64 z t) (-.f64 x y))

simplify173.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5045	4873

prune354.0ms (4.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	200	0	200
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	200	4	204

Merged error: 0.0b

Counts

204 → 4

Compiler

Compiled 4660 to 1771 computations (62% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 z t))
0.3b	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))

rewrite62.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_24652`
70×	`*-un-lft-identity_binary64_24630`
51×	`times-frac_binary64_24636`
31×	`associate-r_binary64_24570`
26×	`add-cube-cbrt_binary64_24665`
22×	`difference-of-squares_binary64_24599` `distribute-lft-out--_binary64_24582`
9×	`add-exp-log_binary64_24668` `add-cbrt-cube_binary64_24666`
5×	`associate-/l_binary64_24575` `associate-/r_binary64_24574`
4×	`pow1_binary64_24691` `associate-/r/_binary64_24576`
3×	`associate-l_binary64_24571` `flip--_binary64_24605` `flip3--_binary64_24634`
2×	`prod-exp_binary64_24679` `div-exp_binary64_24681` `unswap-sqr_binary64_24598` `associate-/l/_binary64_24577` `div-inv_binary64_24627` `cbrt-undiv_binary64_24664` `cbrt-unprod_binary64_24663` `add-log-exp_binary64_24669`
1×	`frac-2neg_binary64_24641` `pow-prod-down_binary64_24701` `clear-num_binary64_24629` `-commutative_binary64_24561` `associate-r/_binary64_24572` `div-sub_binary64_24635`

Counts

2 → 102

Calls

2 calls:

30.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
15.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

series219.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

116.0ms	(*.f64 60 (/.f64 (-.f64 x y) (-.f64 z t)))
102.0ms	(/.f64 (-.f64 x y) (-.f64 z t))

simplify130.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	6270	1767

prune161.0ms (1.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	108	4	112

Merged error: 0.0b

Counts

112 → 4

Compiler

Compiled 2206 to 810 computations (63.3% saved)

localize23.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 60 (-.f64 x y))
0.2b	(/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))
0.3b	(/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y))))

rewrite90.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`times-frac_binary64_24636`
45×	`add-sqr-sqrt_binary64_24652`
43×	`*-un-lft-identity_binary64_24630`
31×	`add-exp-log_binary64_24668`
29×	`add-cube-cbrt_binary64_24665`
19×	`add-cbrt-cube_binary64_24666`
14×	`div-exp_binary64_24681`
12×	`associate-/r_binary64_24574` `associate-r/_binary64_24572`
11×	`associate-/r/_binary64_24576`
8×	`associate-/l*_binary64_24575`
7×	`flip--_binary64_24605` `difference-of-squares_binary64_24599` `distribute-lft-out--_binary64_24582` `cbrt-undiv_binary64_24664` `flip3--_binary64_24634`
6×	`pow1_binary64_24691` `cancel-sign-sub-inv_binary64_24596` `div-inv_binary64_24627`
5×	`prod-exp_binary64_24679` `associate-r_binary64_24570`
4×	`distribute-rgt-in_binary64_24580` `distribute-lft-in_binary64_24579`
3×	`1-exp_binary64_24674` `associate-l_binary64_24571` `rec-exp_binary64_24680` `cbrt-unprod_binary64_24663` `add-log-exp_binary64_24669`
2×	`frac-2neg_binary64_24641` `associate-/l/_binary64_24577` `sub-neg_binary64_24623` `clear-num_binary64_24629`
1×	`pow-prod-down_binary64_24701` `inv-pow_binary64_24715` `unswap-sqr_binary64_24598` `*-commutative_binary64_24561` `pow-flip_binary64_24704` `div-sub_binary64_24635`

Counts

3 → 132

Calls

3 calls:

25.0ms	(/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y))))
20.0ms	(/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))
15.0ms	(*.f64 60 (-.f64 x y))

series606.0ms (7.3%)

Counts

3 → 9

Calls

3 calls:

437.0ms	(/.f64 1 (/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y))))
131.0ms	(/.f64 (-.f64 z t) (*.f64 60 (-.f64 x y)))
38.0ms	(*.f64 60 (-.f64 x y))

simplify126.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	5011	2294

prune239.0ms (2.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	141	4	145

Merged error: 0.0b

Counts

145 → 4

Compiler

Compiled 2785 to 1461 computations (47.5% saved)

regimes563.0ms (6.8%)

Compiler: Compiled 2575 to 2337 computations (9.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	19
1	34	19

end0.0ms (0%)

sample1.7s (20.9%)

Algorithm

1×

intervals

Results

639.0ms	7848×	body	128	valid
50.0ms	658×	body	128	invalid
17.0ms	48×	body	2048	valid
11.0ms	39×	body	1024	valid
9.0ms	39×	body	512	valid
4.0ms	26×	body	256	valid

Compiler

Compiled 247 to 226 computations (8.5% saved)

Details

analyze2.3s (27.4%)

sample45.0ms (0.5%)

simplify402.0ms (4.8%)

prune13.0ms (0.2%)

localize18.0ms (0.2%)

rewrite45.0ms (0.5%)

series159.0ms (1.9%)

simplify102.0ms (1.2%)

prune124.0ms (1.5%)

localize20.0ms (0.2%)

rewrite92.0ms (1.1%)

series500.0ms (6%)

simplify173.0ms (2.1%)

prune354.0ms (4.3%)

localize20.0ms (0.2%)

rewrite62.0ms (0.7%)

series219.0ms (2.6%)

simplify130.0ms (1.6%)

prune161.0ms (1.9%)

localize23.0ms (0.3%)

rewrite90.0ms (1.1%)

series606.0ms (7.3%)

simplify126.0ms (1.5%)

prune239.0ms (2.9%)

regimes563.0ms (6.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (20.9%)

Profiling