Details

analyze576.0ms (11%)

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
7%	92.8%	0.2%	8
19.1%	80.7%	0.2%	9
29.8%	70%	0.2%	10
31.3%	68.5%	0.2%	11
42.3%	57.2%	0.6%	12
53.3%	45.5%	1.2%	13
59.2%	39.3%	1.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
1.0ms	20×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify364.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (266.0ms)

Iter	Nodes	Cost
0	5580	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

Merged error: 10.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
9.5b	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))

rewrite21.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_18514`
14×	`*-un-lft-identity_binary64_18492`
9×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
8×	`add-cube-cbrt_binary64_18527`
6×	`cancel-sign-sub-inv_binary64_18458`
5×	`times-frac_binary64_18498` `associate-r_binary64_18432` `associate-/r*_binary64_18436`
4×	`pow1_binary64_18553` `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` `add-log-exp_binary64_18531` `cbrt-undiv_binary64_18526`
1×	`unswap-sqr_binary64_18460` `frac-2neg_binary64_18503` `associate-/l_binary64_18437` `-commutative_binary64_18423` `clear-num_binary64_18491` `div-inv_binary64_18489` `pow-prod-down_binary64_18563`

Counts

2 → 59

Calls

2 calls:

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

series341.0ms (6.5%)

Counts

2 → 37

Calls

2 calls:

243.0ms	(/.f64 (*.f64 x (-.f64 y z)) (-.f64 t z))
98.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 853 to 667 computations (21.8% saved)

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4986	1286
1	4986	1286

prune74.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	90	6	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

Compiler

Compiled 1326 to 344 computations (74.1% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite48.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

218×	`times-frac_binary64_18498`
194×	`add-sqr-sqrt_binary64_18514` `*-un-lft-identity_binary64_18492`
90×	`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`
9×	`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`
4×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
2×	`associate-/l/_binary64_18439` `pow1_binary64_18553` `frac-2neg_binary64_18503` `add-log-exp_binary64_18531` `clear-num_binary64_18491`
1×	`div-sub_binary64_18497`

Counts

2 → 194

Calls

2 calls:

13.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
8.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

series383.0ms (7.3%)

Counts

2 → 41

Calls

2 calls:

238.0ms	(/.f64 x (/.f64 (-.f64 t z) (-.f64 y z)))
145.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

Compiler

Compiled 1151 to 887 computations (22.9% saved)

simplify100.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4982	5666
1	4982	5666

prune162.0ms (3.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	233	2	235
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	235	7	242

Merged error: 0.0b

Counts

242 → 7

Compiler

Compiled 4455 to 705 computations (84.2% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (-.f64 t z))
2.7b	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))

rewrite35.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`add-sqr-sqrt_binary64_18514`
70×	`*-un-lft-identity_binary64_18492`
51×	`times-frac_binary64_18498`
31×	`associate-r_binary64_18432`
26×	`add-cube-cbrt_binary64_18527`
22×	`distribute-lft-out--_binary64_18444` `difference-of-squares_binary64_18461`
9×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
5×	`associate-/l_binary64_18437` `associate-/r_binary64_18436`
4×	`pow1_binary64_18553` `associate-/r/_binary64_18438`
3×	`flip--_binary64_18467` `associate-l_binary64_18433` `flip3--_binary64_18496`
2×	`associate-/l/_binary64_18439` `div-exp_binary64_18543` `unswap-sqr_binary64_18460` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `add-log-exp_binary64_18531` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489`
1×	`associate-r/_binary64_18434` `frac-2neg_binary64_18503` `-commutative_binary64_18423` `clear-num_binary64_18491` `pow-prod-down_binary64_18563` `div-sub_binary64_18497`

Counts

2 → 102

Calls

2 calls:

16.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
9.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

series386.0ms (7.4%)

Counts

2 → 42

Calls

2 calls:

231.0ms	(*.f64 x (/.f64 (-.f64 y z) (-.f64 t z)))
155.0ms	(/.f64 (-.f64 y z) (-.f64 t z))

Compiler

Compiled 1149 to 885 computations (23% saved)

simplify84.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4983	2525
1	4983	2525

prune93.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	144	7	151

Merged error: 0.0b

Counts

151 → 7

Compiler

Compiled 2352 to 510 computations (78.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 t z) (-.f64 y z))
0.4b	(/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z)))
2.7b	(*.f64 x (/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z))))

rewrite104.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

392×	`times-frac_binary64_18498`
335×	`add-sqr-sqrt_binary64_18514`
323×	`*-un-lft-identity_binary64_18492`
157×	`add-cube-cbrt_binary64_18527`
98×	`associate-r_binary64_18432`
82×	`distribute-lft-out--_binary64_18444` `difference-of-squares_binary64_18461`
36×	`associate-/r*_binary64_18436`
35×	`add-exp-log_binary64_18530`
19×	`add-cbrt-cube_binary64_18528`
18×	`associate-/r/_binary64_18438`
15×	`div-exp_binary64_18543`
10×	`div-inv_binary64_18489`
9×	`flip--_binary64_18467` `flip3--_binary64_18496`
8×	`associate-/l*_binary64_18437`
7×	`prod-exp_binary64_18541` `cbrt-undiv_binary64_18526`
6×	`pow1_binary64_18553`
5×	`unswap-sqr_binary64_18460`
4×	`rec-exp_binary64_18542` `1-exp_binary64_18536`
3×	`associate-l_binary64_18433` `cbrt-unprod_binary64_18525` `add-log-exp_binary64_18531`
2×	`associate-/l/_binary64_18439` `frac-2neg_binary64_18503` `clear-num_binary64_18491`
1×	`un-div-inv_binary64_18490` `associate-r/_binary64_18434` `pow-flip_binary64_18566` `-commutative_binary64_18423` `inv-pow_binary64_18577` `pow-prod-down_binary64_18563` `div-sub_binary64_18497`

Counts

3 → 327

Calls

3 calls:

35.0ms	(*.f64 x (/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z))))
13.0ms	(/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z)))
12.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

series507.0ms (9.7%)

Counts

3 → 60

Calls

3 calls:

244.0ms	(*.f64 x (/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z))))
138.0ms	(/.f64 1 (/.f64 (-.f64 t z) (-.f64 y z)))
125.0ms	(/.f64 (-.f64 t z) (-.f64 y z))

Compiler

Compiled 1686 to 1328 computations (21.2% saved)

simplify125.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

387 → 387

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5014	7857

prune286.0ms (5.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	387	0	387
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	387	7	394

Merged error: 0.0b

Counts

394 → 7

Compiler

Compiled 7584 to 1949 computations (74.3% saved)

regimes418.0ms (8%)

Compiler: Compiled 2649 to 1984 computations (25.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 9 to 8 computations (11.1% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	75
1	35	75

end0.0ms (0%)

sample1.0s (19.4%)

Algorithm

1×

intervals

Results

270.0ms	8000×	body	128	valid
20.0ms	643×	body	128	invalid

Compiler

Compiled 574 to 413 computations (28% saved)

Details

analyze576.0ms (11%)

sample18.0ms (0.3%)

simplify364.0ms (7%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite21.0ms (0.4%)

series341.0ms (6.5%)

simplify62.0ms (1.2%)

prune74.0ms (1.4%)

localize7.0ms (0.1%)

rewrite48.0ms (0.9%)

series383.0ms (7.3%)

simplify100.0ms (1.9%)

prune162.0ms (3.1%)

localize7.0ms (0.1%)

rewrite35.0ms (0.7%)

series386.0ms (7.4%)

simplify84.0ms (1.6%)

prune93.0ms (1.8%)

localize8.0ms (0.2%)

rewrite104.0ms (2%)

series507.0ms (9.7%)

simplify125.0ms (2.4%)

prune286.0ms (5.5%)

regimes418.0ms (8%)

bsearch2.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (19.4%)

Profiling