Details

analyze886.0ms (14.6%)

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
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)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	22×	body	128	invalid

Compiler

Compiled 23 to 26 computations (-13% saved)

simplify289.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4974	16
1	4974	16

prune3.0ms (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: 12.6b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (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)))
12.1b	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_16957` `*-un-lft-identity_binary64_16935`
10×	`add-cbrt-cube_binary64_16971` `add-exp-log_binary64_16973`
9×	`add-cube-cbrt_binary64_16970`
6×	`cancel-sign-sub-inv_binary64_16901`
5×	`pow1_binary64_16996` `times-frac_binary64_16941` `associate-/r_binary64_16879` `add-log-exp_binary64_16974` `associate-r*_binary64_16875`
4×	`associate-*r/_binary64_16877` `distribute-rgt-in_binary64_16885` `distribute-lft-in_binary64_16884`
3×	`difference-of-squares_binary64_16904` `associate-l_binary64_16876` `flip--_binary64_16910` `distribute-lft-out--_binary64_16887` `flip3--_binary64_16939`
2×	`sub-neg_binary64_16928` `cbrt-unprod_binary64_16968` `associate-/l/_binary64_16882` `associate-/r/_binary64_16881` `div-exp_binary64_16986` `prod-exp_binary64_16984` `cbrt-undiv_binary64_16969`
1×	`flip3-+_binary64_16938` `unswap-sqr_binary64_16903` `pow-prod-down_binary64_17006` `div-inv_binary64_16932` `frac-2neg_binary64_16946` `distribute-lft-out_binary64_16886` `flip-+_binary64_16909` `clear-num_binary64_16934` `+-commutative_binary64_16865` `associate-/l_binary64_16880` `sum-log_binary64_17026` `-commutative_binary64_16866`

Counts

3 → 71

Calls

3 calls:

12.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
9.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
8.0ms	(*.f64 y (-.f64 z t))

series477.0ms (7.9%)

Counts

3 → 9

Calls

3 calls:

252.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a)))
161.0ms	(/.f64 (*.f64 y (-.f64 z t)) (-.f64 z a))
64.0ms	(*.f64 y (-.f64 z t))

simplify56.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5658	1097

prune136.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Merged error: 0.0b

Counts

81 → 5

Compiler

Compiled 2541 to 1174 computations (53.8% 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))
1.9b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite85.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_16941`
197×	`*-un-lft-identity_binary64_16935`
195×	`add-sqr-sqrt_binary64_16957`
91×	`add-cube-cbrt_binary64_16970`
52×	`difference-of-squares_binary64_16904` `distribute-lft-out--_binary64_16887`
36×	`associate-/r*_binary64_16879`
11×	`associate-/r/_binary64_16881`
10×	`add-cbrt-cube_binary64_16971` `add-exp-log_binary64_16973`
8×	`associate-/l*_binary64_16880`
6×	`div-inv_binary64_16932` `flip--_binary64_16910` `flip3--_binary64_16939`
5×	`add-log-exp_binary64_16974`
4×	`div-exp_binary64_16986` `cbrt-undiv_binary64_16969`
3×	`pow1_binary64_16996`
2×	`associate-/l/_binary64_16882` `frac-2neg_binary64_16946` `clear-num_binary64_16934`
1×	`flip3-+_binary64_16938` `div-sub_binary64_16940` `distribute-lft-out_binary64_16886` `flip-+_binary64_16909` `+-commutative_binary64_16865` `sum-log_binary64_17026`

Counts

3 → 206

Calls

3 calls:

36.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
14.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
10.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

series574.0ms (9.5%)

Counts

3 → 9

Calls

3 calls:

255.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
246.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
73.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

simplify98.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5119	5192

prune175.0ms (2.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	214	1	215
Fresh	0	3	3
Picked	0	1	1
Done	1	0	1
Total	215	5	220

Merged error: 0b

Counts

220 → 5

Compiler

Compiled 4814 to 981 computations (79.6% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
1.9b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

76×	`add-sqr-sqrt_binary64_16957`
71×	`*-un-lft-identity_binary64_16935`
51×	`times-frac_binary64_16941`
31×	`associate-r_binary64_16875`
27×	`add-cube-cbrt_binary64_16970`
22×	`difference-of-squares_binary64_16904` `distribute-lft-out--_binary64_16887`
10×	`add-cbrt-cube_binary64_16971` `add-exp-log_binary64_16973`
5×	`pow1_binary64_16996` `associate-/r_binary64_16879` `add-log-exp_binary64_16974` `associate-/l_binary64_16880`
4×	`associate-/r/_binary64_16881`
3×	`associate-l_binary64_16876` `flip--_binary64_16910` `flip3--_binary64_16939`
2×	`cbrt-unprod_binary64_16968` `unswap-sqr_binary64_16903` `associate-/l/_binary64_16882` `div-exp_binary64_16986` `div-inv_binary64_16932` `prod-exp_binary64_16984` `cbrt-undiv_binary64_16969`
1×	`associate-r/_binary64_16877` `flip3-+_binary64_16938` `div-sub_binary64_16940` `pow-prod-down_binary64_17006` `frac-2neg_binary64_16946` `flip-+_binary64_16909` `clear-num_binary64_16934` `+-commutative_binary64_16865` `sum-log_binary64_17026` `-commutative_binary64_16866`

Counts

3 → 113

Calls

3 calls:

17.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
10.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
4.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

series453.0ms (7.5%)

Counts

3 → 9

Calls

3 calls:

230.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
159.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
63.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

simplify78.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	6355	2068

prune84.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	122	5	127

Merged error: 0b

Counts

127 → 5

Compiler

Compiled 2262 to 463 computations (79.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 y (-.f64 z a))
0.0b	(+.f64 x (/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t))))
0.0b	(/.f64 1 (-.f64 z t))
9.1b	(/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t)))

rewrite271.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Rules

1131×	`times-frac_binary64_16941`
702×	`*-un-lft-identity_binary64_16935`
700×	`add-sqr-sqrt_binary64_16957`
420×	`add-cube-cbrt_binary64_16970`
140×	`difference-of-squares_binary64_16904` `distribute-lft-out--_binary64_16887`
93×	`associate-/r/_binary64_16881`
47×	`div-inv_binary64_16932`
46×	`flip--_binary64_16910` `flip3--_binary64_16939`
32×	`add-exp-log_binary64_16973`
31×	`associate-/r*_binary64_16879`
27×	`associate-/l*_binary64_16880`
20×	`add-cbrt-cube_binary64_16971`
19×	`div-exp_binary64_16986`
10×	`cbrt-undiv_binary64_16969`
6×	`add-log-exp_binary64_16974`
5×	`pow1_binary64_16996`
3×	`1-exp_binary64_16979` `frac-2neg_binary64_16946` `clear-num_binary64_16934` `rec-exp_binary64_16985`
1×	`flip3-+_binary64_16938` `associate-/l/_binary64_16882` `inv-pow_binary64_17020` `pow-flip_binary64_17009` `distribute-lft-out_binary64_16886` `flip-+_binary64_16909` `+-commutative_binary64_16865` `sum-log_binary64_17026`

Counts

4 → 597

Calls

4 calls:

124.0ms	(+.f64 x (/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t))))
29.0ms	(/.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))

series598.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

251.0ms	(/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t)))
240.0ms	(+.f64 x (/.f64 (/.f64 y (-.f64 z a)) (/.f64 1 (-.f64 z t))))
62.0ms	(/.f64 y (-.f64 z a))
45.0ms	(/.f64 1 (-.f64 z t))

simplify214.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

609 → 609

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4993	19397
1	4993	19397

prune543.0ms (9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	609	0	609
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	609	5	614

Merged error: 0b

Counts

614 → 5

Compiler

Compiled 15263 to 3575 computations (76.6% saved)

regimes84.0ms (1.4%)

Compiler: Compiled 315 to 330 computations (-4.8% saved)

bsearch40.0ms (0.7%)

Steps

Iters	Range		Point
7	9.418866610469233e-103	2.6570658178193835e-101	1.4127159396366662e-101
9	-2.2615573784332968e-114	-2.3468685348916904e-121	-3.448631571517119e-115

Compiler

Compiled 1 to 5 computations (-400% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	63
1	50	63

end0.0ms (0%)

sample761.0ms (12.6%)

Algorithm

1×

intervals

Results

313.0ms	7999×	body	128	valid
30.0ms	728×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 127 to 106 computations (16.5% saved)

Details

analyze886.0ms (14.6%)

sample22.0ms (0.4%)

simplify289.0ms (4.8%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite34.0ms (0.6%)

series477.0ms (7.9%)

simplify56.0ms (0.9%)

prune136.0ms (2.3%)

localize8.0ms (0.1%)

rewrite85.0ms (1.4%)

series574.0ms (9.5%)

simplify98.0ms (1.6%)

prune175.0ms (2.9%)

localize11.0ms (0.2%)

rewrite43.0ms (0.7%)

series453.0ms (7.5%)

simplify78.0ms (1.3%)

prune84.0ms (1.4%)

localize13.0ms (0.2%)

rewrite271.0ms (4.5%)

series598.0ms (9.9%)

simplify214.0ms (3.5%)

prune543.0ms (9%)

regimes84.0ms (1.4%)

bsearch40.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample761.0ms (12.6%)

Profiling