Details

analyze1.3s (16.8%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4894	91
1	4894	91
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
15.6%	84.2%	0.2%	8
15.6%	84.2%	0.2%	8
28.1%	71.7%	0.2%	9
28.1%	71.7%	0.2%	9
37.4%	62.4%	0.2%	10
37.4%	62.4%	0.2%	10
41.7%	58.1%	0.2%	11
41.7%	58.1%	0.2%	11
53%	46.8%	0.2%	12
53%	46.8%	0.2%	12
64.1%	35.6%	0.3%	13
64.1%	35.6%	0.3%	13
66.7%	32.8%	0.5%	14
66.7%	32.8%	0.5%	14

Symmetry

(sort y t)

Compiler

Compiled 20 to 18 computations (10% saved)

sample190.0ms (2.5%)

Algorithm

2×

intervals

Results

16.0ms	512×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 2709 to 3518 computations (-29.9% saved)

simplify46.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	772	13
1	772	13

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

Error

6.7b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 y z) (-.f64 t z))
6.7b	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))

rewrite93.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-sqr-sqrt_binary64_19196`
12×	`*-un-lft-identity_binary64_19174` `flip3--_binary64_19178` `flip--_binary64_19149`
9×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
8×	`add-cube-cbrt_binary64_19209` `frac-times_binary64_19184` `associate-/r/_binary64_19120`
6×	`cancel-sign-sub-inv_binary64_19140`
5×	`associate-l_binary64_19115` `associate-r_binary64_19114`
4×	`pow1_binary64_19235` `associate-l/_binary64_19117` `associate-r/_binary64_19116` `distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123`
3×	`times-frac_binary64_19180` `associate-/l*_binary64_19119`
2×	`prod-exp_binary64_19223` `div-exp_binary64_19225` `add-log-exp_binary64_19213` `cbrt-undiv_binary64_19208` `cbrt-unprod_binary64_19207` `sub-neg_binary64_19167` `difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126`
1×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `div-inv_binary64_19171` `associate-/r_binary64_19118` `pow-prod-down_binary64_19245` `unswap-sqr_binary64_19142` `-commutative_binary64_19105`

Counts

2 → 67

Calls

2 calls:

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

Compiler

Compiled 1248 to 314 computations (74.8% saved)

series754.0ms (9.8%)

Error

6.7b

Counts

2 → 43

Calls

2 calls:

492.0ms	(/.f64 x (*.f64 (-.f64 y z) (-.f64 t z)))
222.0ms	(*.f64 (-.f64 y z) (-.f64 t z))

Compiler

Compiled 2155 to 1355 computations (37.1% saved)

simplify47.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5045	1873

prune101.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	103	7	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	7	111

Error

Counts

111 → 7

Compiler

Compiled 1760 to 446 computations (74.7% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (-.f64 y z))
2.0b	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))

rewrite210.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

210×	`times-frac_binary64_19180`
176×	`add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
88×	`add-cube-cbrt_binary64_19209`
44×	`difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126`
24×	`associate-/l*_binary64_19119`
16×	`associate-/r/_binary64_19120`
10×	`associate-/r*_binary64_19118`
9×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
8×	`div-inv_binary64_19171` `flip3--_binary64_19178` `flip--_binary64_19149`
4×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208`
2×	`pow1_binary64_19235` `add-log-exp_binary64_19213` `frac-2neg_binary64_19185` `clear-num_binary64_19173`
1×	`associate-/l/_binary64_19121`

Counts

2 → 185

Calls

2 calls:

13.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
5.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 3948 to 773 computations (80.4% saved)

series667.0ms (8.6%)

Error

Counts

2 → 40

Calls

2 calls:

466.0ms	(/.f64 (/.f64 x (-.f64 y z)) (-.f64 t z))
165.0ms	(/.f64 x (-.f64 y z))

Compiler

Compiled 2198 to 1411 computations (35.8% saved)

simplify101.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4983	5506
1	4983	5506

prune199.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	225	7	232

Error

Counts

232 → 7

Compiler

Compiled 4341 to 756 computations (82.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
0.5b	(cbrt.f64 x)
1.8b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))

rewrite181.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

56×	`add-sqr-sqrt_binary64_19196`
42×	`times-frac_binary64_19180`
40×	`*-un-lft-identity_binary64_19174`
36×	`associate-r_binary64_19114`
26×	`add-cube-cbrt_binary64_19209` `cbrt-prod_binary64_19205`
25×	`add-exp-log_binary64_19212`
18×	`add-cbrt-cube_binary64_19210`
11×	`associate-l_binary64_19115`
8×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
7×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126`
6×	`pow1_binary64_19235` `unswap-sqr_binary64_19142`
4×	`add-log-exp_binary64_19213` `associate-/r/_binary64_19120`
3×	`pow1/3_binary64_19256`
2×	`div-inv_binary64_19171` `flip3--_binary64_19178` `flip--_binary64_19149`
1×	`pow-prod-down_binary64_19245` `frac-times_binary64_19184` `associate-l/_binary64_19117` `associate-r/_binary64_19116` `*-commutative_binary64_19105`

Counts

4 → 110

Calls

4 calls:

24.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))
2.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

Compiler

Compiled 2783 to 449 computations (83.9% saved)

series857.0ms (11.1%)

Error

Counts

4 → 31

Calls

4 calls:

475.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (-.f64 y z)) (/.f64 (cbrt.f64 x) (-.f64 t z)))
120.0ms	(cbrt.f64 x)
119.0ms	(cbrt.f64 x)
113.0ms	(cbrt.f64 x)

Compiler

Compiled 2021 to 1302 computations (35.6% saved)

simplify57.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5119	2447

prune134.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	141	0	141
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	141	7	148

Error

Counts

148 → 7

Compiler

Compiled 2801 to 712 computations (74.6% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 y z))
0.0b	(/.f64 x (-.f64 t z))
2.5b	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))

rewrite192.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

86×	`add-sqr-sqrt_binary64_19196`
71×	`*-un-lft-identity_binary64_19174`
67×	`times-frac_binary64_19180`
41×	`add-cube-cbrt_binary64_19209`
31×	`add-exp-log_binary64_19212`
21×	`associate-l_binary64_19115` `associate-r_binary64_19114`
19×	`add-cbrt-cube_binary64_19210`
14×	`difference-of-squares_binary64_19143` `distribute-lft-out--_binary64_19126`
11×	`div-exp_binary64_19225`
10×	`associate-/r*_binary64_19118`
8×	`prod-exp_binary64_19223` `associate-/r/_binary64_19120`
6×	`pow1_binary64_19235` `cbrt-undiv_binary64_19208` `unswap-sqr_binary64_19142` `associate-/l*_binary64_19119`
4×	`cbrt-unprod_binary64_19207` `div-inv_binary64_19171` `flip3--_binary64_19178` `flip--_binary64_19149`
3×	`1-exp_binary64_19218` `rec-exp_binary64_19224` `add-log-exp_binary64_19213`
2×	`frac-2neg_binary64_19185` `clear-num_binary64_19173`
1×	`pow-prod-down_binary64_19245` `frac-times_binary64_19184` `associate-l/_binary64_19117` `associate-r/_binary64_19116` `*-commutative_binary64_19105` `inv-pow_binary64_19259` `pow-flip_binary64_19248`

Counts

3 → 150

Calls

3 calls:

21.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))
5.0ms	(/.f64 1 (-.f64 y z))
5.0ms	(/.f64 x (-.f64 t z))

Compiler

Compiled 2938 to 1021 computations (65.2% saved)

series744.0ms (9.6%)

Error

Counts

3 → 55

Calls

3 calls:

466.0ms	(*.f64 (/.f64 1 (-.f64 y z)) (/.f64 x (-.f64 t z)))
137.0ms	(/.f64 x (-.f64 t z))
89.0ms	(/.f64 1 (-.f64 y z))

Compiler

Compiled 2789 to 1868 computations (33% saved)

simplify92.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4977	3205
1	4977	3205

prune166.0ms (2.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	205	7	212

Error

Counts

212 → 7

Compiler

Compiled 3398 to 995 computations (70.7% saved)

regimes438.0ms (5.7%)

Accuracy

Total 0.9b remaining (99.3%)

Threshold costs 0.9b (99.3%)

Compiler

Compiled 3171 to 2543 computations (19.8% saved)

bsearch2.0ms (0%)

Compiler: Compiled 7 to 7 computations (0% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	33	69
1	33	69

Remove

(sort y t)

Compiler

Compiled 94 to 36 computations (61.7% saved)

end0.0ms (0%)

sample1.1s (14.2%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
13.0ms	439×	body	128	invalid

Compiler

Compiled 577 to 439 computations (23.9% saved)

Details

analyze1.3s (16.8%)

sample190.0ms (2.5%)

simplify46.0ms (0.6%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite93.0ms (1.2%)

series754.0ms (9.8%)

simplify47.0ms (0.6%)

prune101.0ms (1.3%)

localize7.0ms (0.1%)

rewrite210.0ms (2.7%)

series667.0ms (8.6%)

simplify101.0ms (1.3%)

prune199.0ms (2.6%)

localize10.0ms (0.1%)

rewrite181.0ms (2.4%)

series857.0ms (11.1%)

simplify57.0ms (0.7%)

prune134.0ms (1.7%)

localize8.0ms (0.1%)

rewrite192.0ms (2.5%)

series744.0ms (9.6%)

simplify92.0ms (1.2%)

prune166.0ms (2.2%)

regimes438.0ms (5.7%)

bsearch2.0ms (0%)

simplify13.0ms (0.2%)

end0.0ms (0%)

sample1.1s (14.2%)

Profiling