Details

analyze2.6s (11.5%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4881	464
1	4881	464
0	6	6
1	6	6

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	74.8%	25.2%	9
0%	74.8%	25.2%	10
0%	74.8%	25.2%	10
0%	74.8%	25.2%	11
0%	74.8%	25.2%	11
0%	74.8%	25.2%	12
0%	74.8%	25.2%	12
24.9%	49.9%	25.2%	13
24.9%	49.9%	25.2%	13
24.9%	37.4%	37.7%	14
24.9%	37.4%	37.7%	14

Symmetry

(sort z t)

Compiler

Compiled 40 to 40 computations (0% saved)

sample3.4s (14.9%)

Algorithm

2×

intervals

Results

61.0ms	706×	body	128	nan
35.0ms	108×	body	1024	valid
24.0ms	49×	body	2048	valid
22.0ms	296×	body	128	valid
11.0ms	46×	body	512	valid
8.0ms	94×	body	128	invalid
2.0ms	13×	body	256	valid

Compiler

Compiled 13259 to 17231 computations (-30% saved)

simplify46.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	757	29
1	757	29

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

20.0b

Counts

2 → 1

Compiler

Compiled 38 to 38 computations (0% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 a (*.f64 b 3))
0.2b	(/.f64 (*.f64 z t) 3)
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
23.7b	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))

rewrite190.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

18.3b

Rules

19×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
11×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
9×	`times-frac_binary64_19180` `pow1_binary64_19235`
8×	`cos-sum_binary64_19308`
7×	`cancel-sign-sub-inv_binary64_19140`
5×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
4×	`add-log-exp_binary64_19213` `div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `associate-/l_binary64_19119` `associate-/r_binary64_19118`
3×	`cos-diff_binary64_19311` `div-inv_binary64_19171` `pow-prod-down_binary64_19245` `associate-r_binary64_19114`
2×	`frac-2neg_binary64_19185` `clear-num_binary64_19173`
1×	`sub-neg_binary64_19167` `distribute-rgt-in_binary64_19124` `distribute-lft-in_binary64_19123` `associate-l_binary64_19115` `*-commutative_binary64_19105`

Counts

4 → 78

Calls

4 calls:

8.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
7.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
7.0ms	(/.f64 (*.f64 z t) 3)
4.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 2173 to 1334 computations (38.6% saved)

series797.0ms (3.5%)

Error

14.6b

Counts

4 → 45

Calls

4 calls:

407.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3))))
149.0ms	(cos.f64 (-.f64 y (/.f64 (*.f64 z t) 3)))
93.0ms	(/.f64 a (*.f64 b 3))
88.0ms	(/.f64 (*.f64 z t) 3)

Compiler

Compiled 2890 to 2315 computations (19.9% saved)

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4932	1991
1	4932	1991

prune228.0ms (1%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	102	21	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	21	124

Error

14.0b

Counts

124 → 21

Compiler

Compiled 3399 to 2182 computations (35.8% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
0.2b	(/.f64 a (*.f64 b 3))

rewrite108.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

14.0b

Rules

13×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210`
8×	`pow1_binary64_19235` `add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
7×	`cancel-sign-sub-inv_binary64_19140`
6×	`times-frac_binary64_19180`
5×	`add-log-exp_binary64_19213`
4×	`prod-exp_binary64_19223` `cbrt-unprod_binary64_19207`
3×	`associate-/l_binary64_19119` `pow-prod-down_binary64_19245` `associate-r*_binary64_19114`
2×	`div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `div-inv_binary64_19171`
1×	`frac-2neg_binary64_19185` `clear-num_binary64_19173` `associate-/r_binary64_19118` `associate-l_binary64_19115` `-commutative_binary64_19105` `diff-log_binary64_19266` `flip3--_binary64_19178` `sub-neg_binary64_19167` `flip--_binary64_19149`

Counts

3 → 57

Calls

3 calls:

8.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
6.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
4.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 1174 to 678 computations (42.2% saved)

series731.0ms (3.2%)

Error

13.9b

Counts

3 → 34

Calls

3 calls:

497.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 a (*.f64 b 3)))
115.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
91.0ms	(/.f64 a (*.f64 b 3))

Compiler

Compiled 1245 to 1123 computations (9.8% saved)

simplify64.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4903	1260
1	4903	1260

prune148.0ms (0.6%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	81	10	91
Fresh	6	14	20
Picked	1	0	1
Done	0	0	0
Total	88	24	112

Error

13.8b

Counts

112 → 24

Compiler

Compiled 1999 to 1247 computations (37.6% saved)

localize10.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
0.2b	(/.f64 (/.f64 a b) 3)
0.2b	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))

rewrite222.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

13.8b

Rules

141×	`times-frac_binary64_19180`
81×	`add-cube-cbrt_binary64_19209` `add-sqr-sqrt_binary64_19196` `*-un-lft-identity_binary64_19174`
43×	`cancel-sign-sub-inv_binary64_19140`
13×	`add-exp-log_binary64_19212` `add-cbrt-cube_binary64_19210` `associate-/l*_binary64_19119`
9×	`div-inv_binary64_19171`
8×	`pow1_binary64_19235`
5×	`add-log-exp_binary64_19213`
3×	`pow-prod-down_binary64_19245` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `associate-r_binary64_19114` `div-exp_binary64_19225` `cbrt-undiv_binary64_19208` `associate-/r*_binary64_19118`
1×	`associate-l_binary64_19115` `*-commutative_binary64_19105` `frac-2neg_binary64_19185` `clear-num_binary64_19173` `associate-/l/_binary64_19121` `diff-log_binary64_19266` `flip3--_binary64_19178` `sub-neg_binary64_19167` `flip--_binary64_19149`

Counts

3 → 142

Calls

3 calls:

16.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
6.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
6.0ms	(/.f64 (/.f64 a b) 3)

Compiler

Compiled 3320 to 1701 computations (48.8% saved)

series713.0ms (3.1%)

Error

13.8b

Counts

3 → 34

Calls

3 calls:

477.0ms	(-.f64 (.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y)) (/.f64 (/.f64 a b) 3))
125.0ms	(.f64 (.f64 2 (sqrt.f64 x)) (cos.f64 y))
87.0ms	(/.f64 (/.f64 a b) 3)

Compiler

Compiled 1245 to 1115 computations (10.4% saved)

simplify76.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5299	2991

prune227.0ms (1%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	0	23	23
Picked	0	1	1
Done	0	0	0
Total	175	25	200

Error

13.8b

Counts

200 → 25

Compiler

Compiled 3889 to 2156 computations (44.6% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))
0.3b	(cbrt.f64 (cos.f64 y))

rewrite124.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

13.8b

Rules

25×	`cbrt-prod_binary64_19205`
23×	`add-sqr-sqrt_binary64_19196`
15×	`add-cube-cbrt_binary64_19209` `*-un-lft-identity_binary64_19174`
11×	`pow1_binary64_19235`
9×	`pow1/3_binary64_19256`
6×	`add-exp-log_binary64_19212` `swap-sqr_binary64_19141` `associate-l_binary64_19115` `associate-r_binary64_19114`
4×	`add-log-exp_binary64_19213` `add-cbrt-cube_binary64_19210` `unswap-sqr_binary64_19142`
2×	`pow-prod-down_binary64_19245` `pow-prod-up_binary64_19244` `pow-sqr_binary64_19147`
1×	`pow2_binary64_19255` `pow-plus_binary64_19237` `prod-exp_binary64_19223` `cbrt-unprod_binary64_19207` `*-commutative_binary64_19105`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))
1.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 2022 to 750 computations (62.9% saved)

series509.0ms (2.2%)

Error

13.8b

Counts

4 → 19

Calls

4 calls:

136.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
121.0ms	(cbrt.f64 (cos.f64 y))
118.0ms	(cbrt.f64 (cos.f64 y))
110.0ms	(cbrt.f64 (cos.f64 y))

Compiler

Compiled 1226 to 964 computations (21.4% saved)

simplify77.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5140	797

prune128.0ms (0.6%)

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	89	3	92
Fresh	0	23	23
Picked	0	1	1
Done	0	1	1
Total	89	28	117

Error

13.8b

Counts

117 → 28

Compiler

Compiled 2257 to 997 computations (55.8% saved)

regimes5.9s (25.5%)

Accuracy

Total 2.5b remaining (14.9%)

Threshold costs 0b (0%)

Compiler

Compiled 62827 to 56229 computations (10.5% saved)

bsearch0.0ms (0%)

simplify10.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	20
1	34	20

Remove

(sort z t)

Compiler

Compiled 26 to 30 computations (-15.4% saved)

end0.0ms (0%)

sample6.6s (28.4%)

Algorithm

1×

intervals

Results

695.0ms	9158×	body	128	nan
550.0ms	1650×	body	1024	valid
342.0ms	4524×	body	128	valid
325.0ms	740×	body	2048	valid
176.0ms	745×	body	512	valid
83.0ms	1128×	body	128	invalid
58.0ms	340×	body	256	valid
1.0ms	1×	body	4096	valid

Compiler

Compiled 3869 to 3451 computations (10.8% saved)

Details

analyze2.6s (11.5%)

sample3.4s (14.9%)

simplify46.0ms (0.2%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite190.0ms (0.8%)

series797.0ms (3.5%)

simplify77.0ms (0.3%)

prune228.0ms (1%)

localize10.0ms (0%)

rewrite108.0ms (0.5%)

series731.0ms (3.2%)

simplify64.0ms (0.3%)

prune148.0ms (0.6%)

localize10.0ms (0%)

rewrite222.0ms (1%)

series713.0ms (3.1%)

simplify76.0ms (0.3%)

prune227.0ms (1%)

localize13.0ms (0.1%)

rewrite124.0ms (0.5%)

series509.0ms (2.2%)

simplify77.0ms (0.3%)

prune128.0ms (0.6%)

regimes5.9s (25.5%)

bsearch0.0ms (0%)

simplify10.0ms (0%)

end0.0ms (0%)

sample6.6s (28.4%)

Profiling