Details

analyze388.0ms (10.4%)

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)

sample21.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	30×	body	128	invalid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify293.0ms (7.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	5059	16

prune3.0ms (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: 16.1b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 z z) (+.f64 z 1))
15.6b	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64_9548` `add-cbrt-cube_binary64_9546`
12×	`prod-exp_binary64_9559` `cbrt-unprod_binary64_9543`
7×	`pow1_binary64_9571`
6×	`div-exp_binary64_9561` `cbrt-undiv_binary64_9544`
5×	`*-un-lft-identity_binary64_9513`
4×	`associate-r_binary64_9455` `add-sqr-sqrt_binary64_9534` `associate-*r/_binary64_9457`
3×	`pow-prod-down_binary64_9581` `add-cube-cbrt_binary64_9545`
2×	`flip3-+_binary64_9516` `add-log-exp_binary64_9549` `associate-/r/_binary64_9461` `flip-+_binary64_9487`
1×	`associate-l_binary64_9456` `div-inv_binary64_9510` `frac-2neg_binary64_9524` `clear-num_binary64_9512` `associate-/l_binary64_9460` `unswap-sqr_binary64_9481` `-commutative_binary64_9446` `distribute-lft-in_binary64_9464` `associate-/r*_binary64_9459` `distribute-rgt-in_binary64_9465` `times-frac_binary64_9519` `distribute-lft-out_binary64_9466`

Counts

2 → 51

Calls

2 calls:

14.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
8.0ms	(.f64 (.f64 z z) (+.f64 z 1))

series182.0ms (4.9%)

Counts

2 → 6

Calls

2 calls:

115.0ms	(/.f64 (.f64 x y) (.f64 (*.f64 z z) (+.f64 z 1)))
67.0ms	(.f64 (.f64 z z) (+.f64 z 1))

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5000	858

prune69.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	48	9	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	9	58

Merged error: 2.9b

Counts

58 → 9

Compiler

Compiled 1005 to 515 computations (48.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
6.0b	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
8.4b	(/.f64 x (*.f64 z z))

rewrite36.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`*-un-lft-identity_binary64_9513`
34×	`times-frac_binary64_9519` `add-sqr-sqrt_binary64_9534`
31×	`add-exp-log_binary64_9548` `add-cbrt-cube_binary64_9546`
24×	`add-cube-cbrt_binary64_9545`
18×	`associate-r_binary64_9455`
10×	`div-exp_binary64_9561` `cbrt-undiv_binary64_9544`
9×	`prod-exp_binary64_9559` `cbrt-unprod_binary64_9543`
7×	`associate-l_binary64_9456` `distribute-lft-out_binary64_9466`
6×	`associate-/l*_binary64_9460`
5×	`associate-/r*_binary64_9459` `pow1_binary64_9571`
4×	`div-inv_binary64_9510` `associate-/r/_binary64_9461` `unswap-sqr_binary64_9481`
3×	`add-log-exp_binary64_9549`
2×	`flip3-+_binary64_9516` `frac-2neg_binary64_9524` `clear-num_binary64_9512` `flip-+_binary64_9487`
1×	`pow-prod-down_binary64_9581` `associate-l/_binary64_9458` `frac-times_binary64_9523` `-commutative_binary64_9446` `associate-*r/_binary64_9457`

Counts

3 → 107

Calls

3 calls:

15.0ms	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
6.0ms	(/.f64 y (+.f64 z 1))
5.0ms	(/.f64 x (*.f64 z z))

series199.0ms (5.3%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(.f64 (/.f64 x (.f64 z z)) (/.f64 y (+.f64 z 1)))
58.0ms	(/.f64 y (+.f64 z 1))
36.0ms	(/.f64 x (*.f64 z z))

simplify79.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5057	1776

prune113.0ms (3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	110	6	116
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	116	9	125

Merged error: 0.3b

Counts

125 → 9

Compiler

Compiled 2049 to 969 computations (52.7% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.7b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))

rewrite32.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`add-exp-log_binary64_9548`
57×	`add-cbrt-cube_binary64_9546`
32×	`prod-exp_binary64_9559` `cbrt-unprod_binary64_9543`
22×	`div-exp_binary64_9561` `cbrt-undiv_binary64_9544`
9×	`add-cube-cbrt_binary64_9545` `cbrt-prod_binary64_9541` `*-un-lft-identity_binary64_9513` `pow1_binary64_9571` `add-sqr-sqrt_binary64_9534`
7×	`associate-l_binary64_9456`
5×	`frac-times_binary64_9523` `associate-*r/_binary64_9457`
4×	`add-log-exp_binary64_9549`
3×	`pow-prod-down_binary64_9581` `associate-*l/_binary64_9458` `times-frac_binary64_9519` `pow1/3_binary64_9592`
1×	`associate-r_binary64_9455` `div-inv_binary64_9510` `*-commutative_binary64_9446`

Counts

4 → 88

Calls

4 calls:

18.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series600.0ms (16.1%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(cbrt.f64 x)
157.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) z) (*.f64 (/.f64 (cbrt.f64 x) z) (/.f64 y (+.f64 z 1))))
146.0ms	(cbrt.f64 x)
138.0ms	(cbrt.f64 x)

simplify84.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4973	1307
1	4973	1307

prune88.0ms (2.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	99	10	109

Merged error: 0.0b

Counts

109 → 10

Compiler

Compiled 1904 to 848 computations (55.5% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 y (+.f64 z 1))
1.2b	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
3.3b	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

94×	`add-exp-log_binary64_9548`
58×	`add-cbrt-cube_binary64_9546`
48×	`*-un-lft-identity_binary64_9513`
46×	`times-frac_binary64_9519` `add-sqr-sqrt_binary64_9534`
40×	`prod-exp_binary64_9559`
34×	`add-cube-cbrt_binary64_9545`
31×	`div-exp_binary64_9561`
26×	`associate-l_binary64_9456`
22×	`cbrt-unprod_binary64_9543`
19×	`associate-r_binary64_9455`
18×	`cbrt-undiv_binary64_9544`
10×	`pow1_binary64_9571`
7×	`distribute-lft-out_binary64_9466`
6×	`frac-times_binary64_9523` `associate-*r/_binary64_9457`
5×	`1-exp_binary64_9554` `rec-exp_binary64_9560`
4×	`pow-prod-down_binary64_9581` `associate-l/_binary64_9458` `div-inv_binary64_9510` `associate-/r/_binary64_9461` `unswap-sqr_binary64_9481` `associate-/r_binary64_9459`
3×	`add-log-exp_binary64_9549` `associate-/l*_binary64_9460`
2×	`flip3-+_binary64_9516` `flip-+_binary64_9487` `*-commutative_binary64_9446`
1×	`frac-2neg_binary64_9524` `clear-num_binary64_9512`

Counts

3 → 149

Calls

3 calls:

17.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))
16.0ms	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
6.0ms	(/.f64 y (+.f64 z 1))

series237.0ms (6.4%)

Counts

3 → 9

Calls

3 calls:

90.0ms	(*.f64 (/.f64 x z) (/.f64 y (+.f64 z 1)))
88.0ms	(.f64 (/.f64 1 z) (.f64 (/.f64 x z) (/.f64 y (+.f64 z 1))))
58.0ms	(/.f64 y (+.f64 z 1))

simplify87.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5002	2588

prune133.0ms (3.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	156	2	158
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	157	11	168

Merged error: 0.0b

Counts

168 → 11

Compiler

Compiled 2795 to 1257 computations (55% saved)

regimes111.0ms (3%)

Compiler: Compiled 883 to 704 computations (20.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	28
1	17	28

end0.0ms (0%)

sample771.0ms (20.8%)

Algorithm

1×

intervals

Results

287.0ms	8000×	body	128	valid
51.0ms	1492×	body	128	invalid

Compiler

Compiled 221 to 169 computations (23.5% saved)

Details

analyze388.0ms (10.4%)

sample21.0ms (0.6%)

simplify293.0ms (7.9%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite27.0ms (0.7%)

series182.0ms (4.9%)

simplify69.0ms (1.9%)

prune69.0ms (1.9%)

localize8.0ms (0.2%)

rewrite36.0ms (1%)

series199.0ms (5.3%)

simplify79.0ms (2.1%)

prune113.0ms (3%)

localize14.0ms (0.4%)

rewrite32.0ms (0.9%)

series600.0ms (16.1%)

simplify84.0ms (2.3%)

prune88.0ms (2.4%)

localize10.0ms (0.3%)

rewrite55.0ms (1.5%)

series237.0ms (6.4%)

simplify87.0ms (2.3%)

prune133.0ms (3.6%)

regimes111.0ms (3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample771.0ms (20.8%)

Profiling