Details

analyze900.0ms (17.9%)

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
13.2%	86.5%	0.2%	11
16.8%	83%	0.2%	12
22.7%	77.1%	0.2%	13
24.1%	74.7%	1.3%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample26.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
3.0ms	91×	body	128	invalid

Compiler

Compiled 19 to 24 computations (-26.3% saved)

simplify209.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	680	13
1	680	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: 6.4b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (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)) a))
7.1b	(/.f64 (*.f64 y (-.f64 z t)) a)

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_11219` `*-un-lft-identity_binary64_11198`
10×	`add-exp-log_binary64_11233` `add-cbrt-cube_binary64_11231`
7×	`add-cube-cbrt_binary64_11230`
5×	`add-log-exp_binary64_11234` `associate-r_binary64_11140` `pow1_binary64_11256`
4×	`associate-*r/_binary64_11142`
3×	`associate-/r_binary64_11144` `times-frac_binary64_11204` `associate-l*_binary64_11141`
2×	`prod-exp_binary64_11244` `associate-/l/_binary64_11147` `flip--_binary64_11173` `sub-neg_binary64_11191` `flip3--_binary64_11202` `div-exp_binary64_11246` `cbrt-unprod_binary64_11228` `cbrt-undiv_binary64_11229`
1×	`+-commutative_binary64_11130` `sum-log_binary64_11286` `difference-of-squares_binary64_11167` `distribute-rgt-in_binary64_11150` `associate-/l_binary64_11145` `div-inv_binary64_11195` `frac-2neg_binary64_11209` `distribute-lft-out--_binary64_11152` `pow-prod-down_binary64_11266` `distribute-lft-out_binary64_11151` `flip3-+_binary64_11201` `clear-num_binary64_11197` `distribute-lft-in_binary64_11149` `unswap-sqr_binary64_11166` `flip-+_binary64_11172` `-commutative_binary64_11131`

Counts

3 → 59

Calls

3 calls:

8.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
7.0ms	(*.f64 y (-.f64 z t))
6.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))

series290.0ms (5.8%)

Counts

3 → 9

Calls

3 calls:

113.0ms	(/.f64 (*.f64 y (-.f64 z t)) a)
111.0ms	(+.f64 x (/.f64 (*.f64 y (-.f64 z t)) a))
66.0ms	(*.f64 y (-.f64 z t))

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4970	847
1	4970	847

prune63.0ms (1.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	61	7	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	7	69

Merged error: 0.0b

Counts

69 → 7

Compiler

Compiled 1023 to 304 computations (70.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(cbrt.f64 a)
0.7b	(cbrt.f64 a)
0.7b	(cbrt.f64 a)
5.8b	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))

rewrite43.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64_11219`
40×	`times-frac_binary64_11204`
38×	`*-un-lft-identity_binary64_11198`
34×	`associate-r_binary64_11140`
26×	`add-cube-cbrt_binary64_11230` `cbrt-prod_binary64_11226`
25×	`add-exp-log_binary64_11233`
18×	`add-cbrt-cube_binary64_11231`
8×	`prod-exp_binary64_11244` `cbrt-unprod_binary64_11228`
7×	`associate-l_binary64_11141` `div-exp_binary64_11246` `cbrt-undiv_binary64_11229`
6×	`difference-of-squares_binary64_11167` `distribute-lft-out--_binary64_11152` `pow1_binary64_11256` `unswap-sqr_binary64_11166`
4×	`add-log-exp_binary64_11234`
3×	`pow1/3_binary64_11277`
2×	`div-inv_binary64_11195`
1×	`associate-l/_binary64_11143` `frac-times_binary64_11208` `pow-prod-down_binary64_11266` `associate-r/_binary64_11142` `*-commutative_binary64_11131`

Counts

4 → 104

Calls

4 calls:

23.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

series703.0ms (14%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(.f64 (/.f64 y (.f64 (cbrt.f64 a) (cbrt.f64 a))) (/.f64 (-.f64 z t) (cbrt.f64 a)))
159.0ms	(cbrt.f64 a)
158.0ms	(cbrt.f64 a)
146.0ms	(cbrt.f64 a)

simplify88.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4933	1665
1	4933	1665

prune103.0ms (2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	116	7	123

Merged error: 0b

Counts

123 → 7

Compiler

Compiled 2371 to 725 computations (69.4% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))
7.1b	(*.f64 (/.f64 y a) (-.f64 z t))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_11219`
14×	`*-un-lft-identity_binary64_11198`
13×	`associate-l_binary64_11141`
10×	`add-cube-cbrt_binary64_11230` `times-frac_binary64_11204`
7×	`add-exp-log_binary64_11233` `add-cbrt-cube_binary64_11231`
5×	`associate-r_binary64_11140`
4×	`add-log-exp_binary64_11234` `pow1_binary64_11256`
2×	`prod-exp_binary64_11244` `flip--_binary64_11173` `frac-times_binary64_11208` `sub-neg_binary64_11191` `flip3--_binary64_11202` `associate-*r/_binary64_11142` `unswap-sqr_binary64_11166` `cbrt-unprod_binary64_11228`
1×	`+-commutative_binary64_11130` `sum-log_binary64_11286` `difference-of-squares_binary64_11167` `distribute-rgt-in_binary64_11150` `associate-l/_binary64_11143` `div-inv_binary64_11195` `distribute-lft-out--_binary64_11152` `pow-prod-down_binary64_11266` `distribute-lft-out_binary64_11151` `flip3-+_binary64_11201` `div-exp_binary64_11246` `distribute-lft-in_binary64_11149` `flip-+_binary64_11172` `-commutative_binary64_11131` `cbrt-undiv_binary64_11229`

Counts

2 → 52

Calls

2 calls:

10.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
5.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))

series234.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

118.0ms	(*.f64 (/.f64 y a) (-.f64 z t))
116.0ms	(+.f64 x (pow.f64 (*.f64 (/.f64 y a) (-.f64 z t)) 1))

simplify48.0ms (1%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4987	850
1	4987	850

prune52.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	58	7	65

Merged error: 0b

Counts

65 → 7

Compiler

Compiled 1041 to 377 computations (63.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 a (-.f64 z t))
0.0b	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
5.2b	(/.f64 y (/.f64 a (-.f64 z t)))

rewrite55.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64_11204`
105×	`*-un-lft-identity_binary64_11198`
103×	`add-sqr-sqrt_binary64_11219`
71×	`add-cube-cbrt_binary64_11230`
26×	`associate-/r*_binary64_11144`
16×	`difference-of-squares_binary64_11167` `distribute-lft-out--_binary64_11152`
11×	`associate-/r/_binary64_11146`
10×	`add-exp-log_binary64_11233` `add-cbrt-cube_binary64_11231`
6×	`associate-/l*_binary64_11145` `div-inv_binary64_11195`
5×	`add-log-exp_binary64_11234` `flip--_binary64_11173` `flip3--_binary64_11202`
4×	`div-exp_binary64_11246` `cbrt-undiv_binary64_11229`
3×	`pow1_binary64_11256`
2×	`frac-2neg_binary64_11209` `clear-num_binary64_11197`
1×	`+-commutative_binary64_11130` `sum-log_binary64_11286` `distribute-lft-out_binary64_11151` `flip3-+_binary64_11201` `flip-+_binary64_11172`

Counts

3 → 151

Calls

3 calls:

23.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
10.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
6.0ms	(/.f64 a (-.f64 z t))

series311.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

130.0ms	(/.f64 y (/.f64 a (-.f64 z t)))
112.0ms	(+.f64 x (/.f64 y (/.f64 a (-.f64 z t))))
68.0ms	(/.f64 a (-.f64 z t))

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5263	3116

prune109.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	160	0	160
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	160	7	167

Merged error: 0b

Counts

167 → 7

Compiler

Compiled 2792 to 559 computations (80% saved)

regimes528.0ms (10.5%)

Compiler: Compiled 2289 to 1912 computations (16.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 5 to 7 computations (-40% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	52
1	37	52

end0.0ms (0%)

sample1.1s (20.9%)

Algorithm

1×

intervals

Results

296.0ms	8000×	body	128	valid
86.0ms	2589×	body	128	invalid

Compiler

Compiled 307 to 238 computations (22.5% saved)

Details

analyze900.0ms (17.9%)

sample26.0ms (0.5%)

simplify209.0ms (4.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite26.0ms (0.5%)

series290.0ms (5.8%)

simplify50.0ms (1%)

prune63.0ms (1.2%)

localize11.0ms (0.2%)

rewrite43.0ms (0.8%)

series703.0ms (14%)

simplify88.0ms (1.7%)

prune103.0ms (2%)

localize12.0ms (0.2%)

rewrite20.0ms (0.4%)

series234.0ms (4.6%)

simplify48.0ms (1%)

prune52.0ms (1%)

localize7.0ms (0.1%)

rewrite55.0ms (1.1%)

series311.0ms (6.2%)

simplify84.0ms (1.7%)

prune109.0ms (2.2%)

regimes528.0ms (10.5%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (20.9%)

Profiling