Details

analyze368.0ms (16%)

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
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample18.0ms (0.8%)

Algorithm

1×

intervals

Results

7.0ms	242×	body	80	valid
1.0ms	7×	body	1280	valid
1.0ms	20×	body	80	invalid
1.0ms	5×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	31	13
1	31	13

prune5.0ms (0.2%)

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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
7.0ms	(*.f64 x (+.f64 y z))

series19.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

12.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))
7.0ms	(*.f64 x (+.f64 y z))

simplify92.0ms (4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4961	518
1	4961	518

prune35.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	5	43

Merged error: 0.0b

Counts

43 → 5

Compiler

Compiled 681 to 307 computations (54.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5)))
0.0b	(*.f64 z (+.f64 x 5))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 z (+.f64 x 5))
5.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5)))

series15.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 (.f64 x y) (.f64 z (+.f64 x 5)))
6.0ms	(*.f64 z (+.f64 x 5))

simplify97.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4948	518
1	4948	518

prune39.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

Compiler

Compiled 677 to 377 computations (44.3% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite13.0ms (0.6%)

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:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series68.0ms (3%)

Counts

4 → 12

Calls

4 calls:

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

simplify80.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4942	588
1	4942	588

prune60.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	84	7	91

Merged error: 0b

Counts

91 → 7

Compiler

Compiled 1704 to 740 computations (56.6% saved)

localize15.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

2.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series62.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

17.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)
15.0ms	(cbrt.f64 z)

simplify45.0ms (2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5000	340

prune37.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0b

Counts

63 → 7

Compiler

Compiled 1464 to 591 computations (59.6% saved)

regimes122.0ms (5.3%)

Compiler: Compiled 396 to 300 computations (24.2% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample1.0s (45%)

Algorithm

1×

intervals

Results

226.0ms	7659×	body	80	valid
18.0ms	631×	body	80	invalid
14.0ms	113×	body	1280	valid
13.0ms	127×	body	640	valid
5.0ms	71×	body	320	valid
2.0ms	30×	body	160	valid

Compiler

Compiled 158 to 122 computations (22.8% saved)

Details

analyze368.0ms (16%)

sample18.0ms (0.8%)

simplify14.0ms (0.6%)

prune5.0ms (0.2%)

localize6.0ms (0.3%)

rewrite15.0ms (0.6%)

series19.0ms (0.8%)

simplify92.0ms (4%)

prune35.0ms (1.5%)

localize6.0ms (0.3%)

rewrite12.0ms (0.5%)

series15.0ms (0.6%)

simplify97.0ms (4.2%)

prune39.0ms (1.7%)

localize10.0ms (0.4%)

rewrite13.0ms (0.6%)

series68.0ms (3%)

simplify80.0ms (3.5%)

prune60.0ms (2.6%)

localize15.0ms (0.6%)

rewrite6.0ms (0.3%)

series62.0ms (2.7%)

simplify45.0ms (2%)

prune37.0ms (1.6%)

regimes122.0ms (5.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample1.0s (45%)

Profiling