Details

analyze504.0ms (18.1%)

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
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
34.3%	65.5%	0.1%	9
39%	60.8%	0.1%	10
41.3%	58.5%	0.1%	11
52.7%	47.2%	0.1%	12
54%	45.7%	0.2%	13
55.3%	43.8%	0.9%	14

Compiler

Compiled 16 to 10 computations (37.5% saved)

sample29.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	175×	body	80	valid
5.0ms	33×	body	1280	valid
2.0ms	20×	body	640	valid
2.0ms	12×	body	2560	valid
1.0ms	14×	body	320	valid
1.0ms	32×	body	80	invalid
1.0ms	7×	body	640	invalid
1.0ms	4×	body	1280	invalid
0.0ms	4×	body	320	invalid
0.0ms	5×	body	160	invalid
0.0ms	2×	body	160	valid

Compiler

Compiled 31 to 22 computations (29% saved)

simplify319.0ms (11.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (306.0ms)

Iter	Nodes	Cost
0	6029	7

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 y (-.f64 x z))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
5×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 y (-.f64 x z))

series8.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 y (-.f64 x z))

simplify108.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4954	254
1	4954	254

prune17.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0.0b

Counts

28 → 3

Compiler

Compiled 274 to 86 computations (68.6% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 y x) (.f64 y (neg.f64 z)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `distribute-rgt-neg-out_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `unsub-neg_binary64` `sum-log_binary64`

Counts

1 → 13

Calls

1 calls:

6.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

series8.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(+.f64 (*.f64 y x) (*.f64 y (neg.f64 z)))

simplify113.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	5134	170

prune11.0ms (0.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	16	3	19

Merged error: 0.0b

Counts

19 → 3

Compiler

Compiled 173 to 55 computations (68.2% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series66.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
17.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)

simplify78.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4942	588
1	4942	588

prune39.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

Compiler

Compiled 1270 to 335 computations (73.6% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (-.f64 x z) (cbrt.f64 y))
0.4b	(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 x z) (cbrt.f64 y)))
0.6b	(cbrt.f64 y)
28.3b	(cbrt.f64 (*.f64 y y))

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64`
9×	`add-cube-cbrt_binary64` `associate-l_binary64` `cbrt-prod_binary64`
7×	`associate-r_binary64` `add-cbrt-cube_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`flip3--_binary64` `associate-r/_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

4 → 67

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 x z) (cbrt.f64 y)))
7.0ms	(*.f64 (-.f64 x z) (cbrt.f64 y))
2.0ms	(cbrt.f64 (*.f64 y y))
1.0ms	(cbrt.f64 y)

series66.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 (-.f64 x z) (cbrt.f64 y))
16.0ms	(cbrt.f64 (*.f64 y y))
14.0ms	(cbrt.f64 y)
11.0ms	(.f64 (cbrt.f64 (.f64 y y)) (*.f64 (-.f64 x z) (cbrt.f64 y)))

simplify76.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5485	910

prune33.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	79	3	82

Merged error: 0b

Counts

82 → 3

Compiler

Compiled 1171 to 264 computations (77.5% saved)

regimes89.0ms (3.2%)

Compiler: Compiled 78 to 81 computations (-3.8% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	10
1	35	10

end0.0ms (0%)

sample1.1s (41%)

Algorithm

1×

intervals

Results

192.0ms	5655×	body	80	valid
143.0ms	909×	body	1280	valid
74.0ms	624×	body	640	valid
45.0ms	1193×	body	80	invalid
41.0ms	229×	body	2560	valid
36.0ms	290×	body	640	invalid
34.0ms	375×	body	320	valid
23.0ms	250×	body	320	invalid
15.0ms	104×	body	1280	invalid
13.0ms	208×	body	160	valid
9.0ms	152×	body	160	invalid

Compiler

Compiled 52 to 45 computations (13.5% saved)

Details

analyze504.0ms (18.1%)

sample29.0ms (1%)

simplify319.0ms (11.5%)

prune6.0ms (0.2%)

localize4.0ms (0.1%)

rewrite7.0ms (0.3%)

series8.0ms (0.3%)

simplify108.0ms (3.9%)

prune17.0ms (0.6%)

localize5.0ms (0.2%)

rewrite6.0ms (0.2%)

series8.0ms (0.3%)

simplify113.0ms (4.1%)

prune11.0ms (0.4%)

localize7.0ms (0.3%)

rewrite11.0ms (0.4%)

series66.0ms (2.4%)

simplify78.0ms (2.8%)

prune39.0ms (1.4%)

localize8.0ms (0.3%)

rewrite23.0ms (0.8%)

series66.0ms (2.4%)

simplify76.0ms (2.7%)

prune33.0ms (1.2%)

regimes89.0ms (3.2%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (41%)

Profiling