Details

analyze1.0s (17.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4865	176
1	4865	176
0	5	5
1	5	5

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
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
33.2%	66.5%	0.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify386.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (380.0ms)

Iter	Nodes	Cost
0	4977	16
1	4977	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

Error

10.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
10.2b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
9×	`add-cube-cbrt_binary64_18527`
6×	`cancel-sign-sub-inv_binary64_18458`
5×	`pow1_binary64_18553` `times-frac_binary64_18498` `add-log-exp_binary64_18531` `associate-r_binary64_18432` `associate-/r*_binary64_18436`
4×	`distribute-rgt-in_binary64_18442` `associate-*r/_binary64_18434` `distribute-lft-in_binary64_18441`
3×	`flip--_binary64_18467` `distribute-lft-out--_binary64_18444` `associate-l_binary64_18433` `flip3--_binary64_18496` `difference-of-squares_binary64_18461`
2×	`associate-/l/_binary64_18439` `div-exp_binary64_18543` `sub-neg_binary64_18485` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `associate-/r/_binary64_18438` `cbrt-undiv_binary64_18526`
1×	`flip-+_binary64_18466` `+-commutative_binary64_18422` `distribute-lft-out_binary64_18443` `unswap-sqr_binary64_18460` `frac-2neg_binary64_18503` `associate-/l_binary64_18437` `-commutative_binary64_18423` `sum-log_binary64_18583` `clear-num_binary64_18491` `div-inv_binary64_18489` `flip3-+_binary64_18495` `pow-prod-down_binary64_18563`

Counts

3 → 71

Calls

3 calls:

10.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
8.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
7.0ms	(*.f64 y (-.f64 z t))

series226.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

122.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
73.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
31.0ms	(*.f64 y (-.f64 z t))

simplify89.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4980	1097
1	4980	1097

prune71.0ms (1.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	5	81

Error

0.0b

Counts

81 → 5

Compiler

Compiled 1323 to 325 computations (75.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
3.2b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite76.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_18498`
197×	`*-un-lft-identity_binary64_18492`
195×	`add-sqr-sqrt_binary64_18514`
91×	`add-cube-cbrt_binary64_18527`
52×	`distribute-lft-out--_binary64_18444` `difference-of-squares_binary64_18461`
36×	`associate-/r*_binary64_18436`
11×	`associate-/r/_binary64_18438`
10×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
8×	`associate-/l*_binary64_18437`
6×	`flip--_binary64_18467` `flip3--_binary64_18496` `div-inv_binary64_18489`
5×	`add-log-exp_binary64_18531`
4×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
3×	`pow1_binary64_18553`
2×	`associate-/l/_binary64_18439` `frac-2neg_binary64_18503` `clear-num_binary64_18491`
1×	`flip-+_binary64_18466` `+-commutative_binary64_18422` `distribute-lft-out_binary64_18443` `sum-log_binary64_18583` `flip3-+_binary64_18495` `div-sub_binary64_18497`

Counts

3 → 206

Calls

3 calls:

29.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
12.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series275.0ms (4.6%)

Counts

3 → 9

Calls

3 calls:

121.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
115.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
38.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5084	5192

prune163.0ms (2.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	213	2	215
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	215	5	220

Error

Counts

220 → 5

Compiler

Compiled 4562 to 767 computations (83.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t))))
0.0b	(/.f64 1 (-.f64 z t))
0.0b	(/.f64 y (-.f64 z a))
10.6b	(/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t)))

rewrite253.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Rules

1131×	`times-frac_binary64_18498`
702×	`*-un-lft-identity_binary64_18492`
700×	`add-sqr-sqrt_binary64_18514`
420×	`add-cube-cbrt_binary64_18527`
140×	`distribute-lft-out--_binary64_18444` `difference-of-squares_binary64_18461`
93×	`associate-/r/_binary64_18438`
47×	`div-inv_binary64_18489`
46×	`flip--_binary64_18467` `flip3--_binary64_18496`
32×	`add-exp-log_binary64_18530`
31×	`associate-/r*_binary64_18436`
27×	`associate-/l*_binary64_18437`
20×	`add-cbrt-cube_binary64_18528`
19×	`div-exp_binary64_18543`
10×	`cbrt-undiv_binary64_18526`
6×	`add-log-exp_binary64_18531`
5×	`pow1_binary64_18553`
3×	`rec-exp_binary64_18542` `frac-2neg_binary64_18503` `clear-num_binary64_18491` `1-exp_binary64_18536`
1×	`associate-/l/_binary64_18439` `flip-+_binary64_18466` `+-commutative_binary64_18422` `pow-flip_binary64_18566` `distribute-lft-out_binary64_18443` `sum-log_binary64_18583` `inv-pow_binary64_18577` `flip3-+_binary64_18495`

Counts

4 → 597

Calls

4 calls:

109.0ms	(+.f64 x (/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t))))
27.0ms	(/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t)))
6.0ms	(/.f64 1 (-.f64 z t))
6.0ms	(/.f64 y (-.f64 z a))

series287.0ms (4.8%)

Counts

4 → 12

Calls

4 calls:

116.0ms	(/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t)))
114.0ms	(+.f64 x (/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t))))
30.0ms	(/.f64 y (-.f64 z a))
26.0ms	(/.f64 1 (-.f64 z t))

simplify224.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

609 → 609

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4989	19397
1	4989	19397

prune563.0ms (9.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	609	0	609
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	609	5	614

Error

Counts

614 → 5

Compiler

Compiled 15318 to 3615 computations (76.4% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (-.f64 z t))
0.0b	(+.f64 x (/.f64 1 (/.f64 (-.f64 z a) (*.f64 y (-.f64 z t)))))
0.4b	(/.f64 1 (/.f64 (-.f64 z a) (*.f64 y (-.f64 z t))))
10.1b	(/.f64 (-.f64 z a) (*.f64 y (-.f64 z t)))

rewrite60.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`times-frac_binary64_18498`
47×	`*-un-lft-identity_binary64_18492`
46×	`add-sqr-sqrt_binary64_18514`
32×	`add-exp-log_binary64_18530`
30×	`add-cube-cbrt_binary64_18527`
20×	`add-cbrt-cube_binary64_18528`
14×	`div-exp_binary64_18543`
12×	`associate-r/_binary64_18434` `associate-/r_binary64_18436`
11×	`associate-/r/_binary64_18438`
8×	`associate-/l*_binary64_18437`
7×	`pow1_binary64_18553` `flip--_binary64_18467` `distribute-lft-out--_binary64_18444` `flip3--_binary64_18496` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489` `difference-of-squares_binary64_18461`
6×	`add-log-exp_binary64_18531` `cancel-sign-sub-inv_binary64_18458`
5×	`prod-exp_binary64_18541` `associate-r_binary64_18432`
4×	`distribute-rgt-in_binary64_18442` `distribute-lft-in_binary64_18441`
3×	`rec-exp_binary64_18542` `associate-l_binary64_18433` `cbrt-unprod_binary64_18525` `1-exp_binary64_18536`
2×	`associate-/l/_binary64_18439` `distribute-lft-out_binary64_18443` `frac-2neg_binary64_18503` `sub-neg_binary64_18485` `clear-num_binary64_18491`
1×	`flip-+_binary64_18466` `+-commutative_binary64_18422` `pow-flip_binary64_18566` `unswap-sqr_binary64_18460` `*-commutative_binary64_18423` `sum-log_binary64_18583` `inv-pow_binary64_18577` `flip3-+_binary64_18495` `pow-prod-down_binary64_18563` `div-sub_binary64_18497`

Counts

4 → 145

Calls

4 calls:

15.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 z a) (*.f64 y (-.f64 z t)))))
15.0ms	(/.f64 1 (/.f64 (-.f64 z a) (*.f64 y (-.f64 z t))))
10.0ms	(/.f64 (-.f64 z a) (*.f64 y (-.f64 z t)))
8.0ms	(*.f64 y (-.f64 z t))

series384.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

190.0ms	(/.f64 1 (/.f64 (-.f64 z a) (*.f64 y (-.f64 z t))))
104.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 z a) (*.f64 y (-.f64 z t)))))
58.0ms	(/.f64 (-.f64 z a) (*.f64 y (-.f64 z t)))
31.0ms	(*.f64 y (-.f64 z t))

simplify73.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4980	2656
1	4980	2656

prune111.0ms (1.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	157	5	162

Error

Counts

162 → 5

Compiler

Compiled 2799 to 769 computations (72.5% saved)

regimes443.0ms (7.4%)

Accuracy

Total 0.5b remaining (99.9%)

Threshold costs 0.5b (99.9%)

Compiler

Compiled 3731 to 2693 computations (27.8% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	70
1	45	70

end0.0ms (0%)

sample1.1s (17.9%)

Algorithm

1×

intervals

Results

305.0ms	8000×	body	128	valid
25.0ms	701×	body	128	invalid

Compiler

Compiled 581 to 407 computations (29.9% saved)

Details

analyze1.0s (17.5%)

sample26.0ms (0.4%)

simplify386.0ms (6.4%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite29.0ms (0.5%)

series226.0ms (3.8%)

simplify89.0ms (1.5%)

prune71.0ms (1.2%)

localize8.0ms (0.1%)

rewrite76.0ms (1.3%)

series275.0ms (4.6%)

simplify97.0ms (1.6%)

prune163.0ms (2.7%)

localize10.0ms (0.2%)

rewrite253.0ms (4.2%)

series287.0ms (4.8%)

simplify224.0ms (3.7%)

prune563.0ms (9.4%)

localize10.0ms (0.2%)

rewrite60.0ms (1%)

series384.0ms (6.4%)

simplify73.0ms (1.2%)

prune111.0ms (1.8%)

regimes443.0ms (7.4%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (17.9%)

Profiling