Details

analyze374.0ms (10.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
25%	74.9%	0.1%	7
31.2%	68.6%	0.1%	8
35.9%	64%	0.1%	9
47.6%	49.9%	2.5%	10
49.1%	46.8%	4%	11
51.1%	44.1%	4.8%	12
60.2%	29.9%	9.9%	13
60.6%	27.9%	11.6%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	48×	body	128	invalid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify295.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	5059	16

prune2.0ms (0.1%)

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: 15.1b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1))
14.6b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_12157` `add-cbrt-cube_binary64_12155`
12×	`prod-exp_binary64_12168` `cbrt-unprod_binary64_12152`
7×	`pow1_binary64_12180`
6×	`cbrt-undiv_binary64_12153` `div-exp_binary64_12170`
5×	`*-un-lft-identity_binary64_12119`
4×	`associate-r_binary64_12059` `add-sqr-sqrt_binary64_12141` `associate-*r/_binary64_12061`
3×	`pow-prod-down_binary64_12190` `add-cube-cbrt_binary64_12154`
2×	`flip-+_binary64_12093` `add-log-exp_binary64_12158` `associate-/r/_binary64_12065` `flip3-+_binary64_12122`
1×	`associate-l_binary64_12060` `distribute-rgt-in_binary64_12069` `distribute-lft-in_binary64_12068` `distribute-lft-out_binary64_12070` `clear-num_binary64_12118` `unswap-sqr_binary64_12087` `times-frac_binary64_12125` `associate-/r_binary64_12063` `frac-2neg_binary64_12130` `div-inv_binary64_12116` `-commutative_binary64_12050` `associate-/l*_binary64_12064`

Counts

2 → 51

Calls

2 calls:

12.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
10.0ms	(.f64 (.f64 z z) (+.f64 z 1))

series196.0ms (5.3%)

Counts

2 → 6

Calls

2 calls:

124.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
72.0ms	(.f64 (.f64 z z) (+.f64 z 1))

simplify67.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4949	858
1	4949	858

prune123.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	52	5	57
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	52	6	58

Merged error: 2.0b

Counts

58 → 6

Compiler

Compiled 2096 to 1323 computations (36.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

5.3b	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
8.4b	(/.f64 x (*.f64 z z))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_12157` `add-cbrt-cube_binary64_12155`
24×	`add-sqr-sqrt_binary64_12141`
22×	`times-frac_binary64_12125`
20×	`*-un-lft-identity_binary64_12119`
18×	`associate-r_binary64_12059`
14×	`add-cube-cbrt_binary64_12154`
9×	`cbrt-undiv_binary64_12153` `div-exp_binary64_12170` `prod-exp_binary64_12168` `cbrt-unprod_binary64_12152`
7×	`associate-l_binary64_12060`
4×	`unswap-sqr_binary64_12087` `pow1_binary64_12180`
3×	`distribute-lft-out_binary64_12070` `div-inv_binary64_12116` `associate-/l*_binary64_12064`
2×	`add-log-exp_binary64_12158` `associate-/r/_binary64_12065`
1×	`flip-+_binary64_12093` `pow-prod-down_binary64_12190` `associate-l/_binary64_12062` `frac-times_binary64_12129` `clear-num_binary64_12118` `associate-/r_binary64_12063` `frac-2neg_binary64_12130` `associate-r/_binary64_12061` `flip3-+_binary64_12122` `-commutative_binary64_12050`

Counts

2 → 74

Calls

2 calls:

16.0ms	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
5.0ms	(/.f64 x (*.f64 z z))

series142.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

108.0ms	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
34.0ms	(/.f64 x (*.f64 z z))

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4967	1299
1	4967	1299

prune167.0ms (4.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	74	6	80
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	76	10	86

Merged error: 0.0b

Counts

86 → 10

Compiler

Compiled 3014 to 1864 computations (38.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`add-exp-log_binary64_12157`
57×	`add-cbrt-cube_binary64_12155`
32×	`prod-exp_binary64_12168` `cbrt-unprod_binary64_12152`
22×	`cbrt-undiv_binary64_12153` `div-exp_binary64_12170`
9×	`add-sqr-sqrt_binary64_12141` `cbrt-prod_binary64_12150` `*-un-lft-identity_binary64_12119` `pow1_binary64_12180` `add-cube-cbrt_binary64_12154`
7×	`associate-l_binary64_12060`
5×	`frac-times_binary64_12129` `associate-*r/_binary64_12061`
4×	`add-log-exp_binary64_12158`
3×	`pow-prod-down_binary64_12190` `associate-*l/_binary64_12062` `times-frac_binary64_12125` `pow1/3_binary64_12201`
1×	`associate-r_binary64_12059` `div-inv_binary64_12116` `*-commutative_binary64_12050`

Counts

4 → 88

Calls

4 calls:

19.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))
3.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series602.0ms (16.2%)

Counts

4 → 12

Calls

4 calls:

160.0ms	(cbrt.f64 x)
152.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))
151.0ms	(cbrt.f64 x)
138.0ms	(cbrt.f64 x)

simplify95.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4950	1311
1	4950	1311

prune107.0ms (2.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	99	11	110

Merged error: 0.0b

Counts

110 → 11

Compiler

Compiled 2290 to 1121 computations (51% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.3b	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
2.5b	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`add-exp-log_binary64_12157`
55×	`add-cbrt-cube_binary64_12155`
40×	`prod-exp_binary64_12168`
36×	`add-sqr-sqrt_binary64_12141`
34×	`times-frac_binary64_12125`
30×	`div-exp_binary64_12170` `*-un-lft-identity_binary64_12119`
26×	`associate-l_binary64_12060`
24×	`add-cube-cbrt_binary64_12154`
22×	`cbrt-unprod_binary64_12152`
19×	`associate-r_binary64_12059`
17×	`cbrt-undiv_binary64_12153`
9×	`pow1_binary64_12180`
6×	`frac-times_binary64_12129` `associate-*r/_binary64_12061`
5×	`rec-exp_binary64_12169` `1-exp_binary64_12163`
4×	`pow-prod-down_binary64_12190` `associate-*l/_binary64_12062` `unswap-sqr_binary64_12087`
3×	`distribute-lft-out_binary64_12070` `div-inv_binary64_12116`
2×	`add-log-exp_binary64_12158` `associate-/r/_binary64_12065` `*-commutative_binary64_12050`
1×	`flip-+_binary64_12093` `flip3-+_binary64_12122`

Counts

2 → 116

Calls

2 calls:

16.0ms	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
16.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

series170.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

97.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))
73.0ms	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))

simplify79.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4983	2111
1	4983	2111

prune180.0ms (4.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	117	5	122
Fresh	4	4	8
Picked	1	0	1
Done	0	2	2
Total	122	11	133

Merged error: 0b

Counts

133 → 11

Compiler

Compiled 3634 to 1934 computations (46.8% saved)

regimes118.0ms (3.2%)

Compiler: Compiled 1116 to 766 computations (31.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	28
1	17	28

end0.0ms (0%)

sample744.0ms (20%)

Algorithm

1×

intervals

Results

272.0ms	8000×	body	128	valid
54.0ms	1586×	body	128	invalid

Compiler

Compiled 234 to 160 computations (31.6% saved)

Details

analyze374.0ms (10.1%)

sample19.0ms (0.5%)

simplify295.0ms (8%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite26.0ms (0.7%)

series196.0ms (5.3%)

simplify67.0ms (1.8%)

prune123.0ms (3.3%)

localize7.0ms (0.2%)

rewrite27.0ms (0.7%)

series142.0ms (3.8%)

simplify64.0ms (1.7%)

prune167.0ms (4.5%)

localize11.0ms (0.3%)

rewrite35.0ms (0.9%)

series602.0ms (16.2%)

simplify95.0ms (2.6%)

prune107.0ms (2.9%)

localize8.0ms (0.2%)

rewrite45.0ms (1.2%)

series170.0ms (4.6%)

simplify79.0ms (2.1%)

prune180.0ms (4.9%)

regimes118.0ms (3.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample744.0ms (20%)

Profiling