Details

analyze895.0ms (2.3%)

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
25%	74.9%	0.1%	6
34.3%	40.6%	25.1%	7
35.9%	39%	25.1%	8
42.1%	32.8%	25.1%	9
42.9%	19.5%	37.6%	10
43.3%	19.1%	37.6%	11
45%	17.5%	37.6%	12
45.1%	10.3%	44.6%	13
45.2%	10.2%	44.6%	14

Compiler

Compiled 11 to 11 computations (0% saved)

sample65.0ms (0.2%)

Algorithm

1×

intervals

Results

17.0ms	256×	body	128	valid
5.0ms	35×	body	128	nan
1.0ms	12×	body	128	invalid

Compiler

Compiled 21 to 24 computations (-14.3% saved)

simplify352.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	29	12
1	29	12

prune23.0ms (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: 0.4b

Counts

2 → 2

Compiler

Compiled 26 to 26 computations (0% saved)

localize28.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
0.3b	(*.f64 y (sqrt.f64 z))

rewrite115.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_7261`
9×	`associate-r_binary64_7179`
7×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
6×	`add-exp-log_binary64_7277` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275` `associate-l_binary64_7180`
4×	`sqrt-prod_binary64_7255`
3×	`unswap-sqr_binary64_7207`
2×	`associate-r/_binary64_7181` `add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `-commutative_binary64_7170` `prod-exp_binary64_7288`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `distribute-lft-in_binary64_7188` `distribute-rgt-in_binary64_7189`

Counts

2 → 44

Calls

2 calls:

59.0ms	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
33.0ms	(*.f64 y (sqrt.f64 z))

series301.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

168.0ms	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
120.0ms	(*.f64 y (sqrt.f64 z))

simplify254.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (210.0ms)

Iter	Nodes	Cost
0	4971	655
1	4971	655

prune665.0ms (1.7%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	27	23	50
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	28	24	52

Merged error: 0.3b

Counts

52 → 24

Compiler

Compiled 1058 to 568 computations (46.3% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
0.3b	(*.f64 y (sqrt.f64 z))

rewrite71.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_7261`
9×	`associate-r_binary64_7179`
7×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
6×	`add-exp-log_binary64_7277` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275` `associate-l_binary64_7180`
4×	`sqrt-prod_binary64_7255`
3×	`unswap-sqr_binary64_7207`
2×	`associate-r/_binary64_7181` `add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `-commutative_binary64_7170` `prod-exp_binary64_7288`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `distribute-lft-in_binary64_7188` `distribute-rgt-in_binary64_7189`

Counts

2 → 44

Calls

2 calls:

26.0ms	(*.f64 y (sqrt.f64 z))
23.0ms	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))

series232.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

142.0ms	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
90.0ms	(*.f64 y (sqrt.f64 z))

simplify244.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (205.0ms)

Iter	Nodes	Cost
0	4971	655
1	4971	655

prune1.1s (2.9%)

Pruning

41 alts after pruning (39 fresh and 2 done)

	Pruned	Kept	Total
New	30	20	50
Fresh	3	19	22
Picked	0	1	1
Done	0	1	1
Total	33	41	74

Merged error: 0.3b

Counts

74 → 41

Compiler

Compiled 1469 to 891 computations (39.3% saved)

localize34.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
0.3b	(*.f64 y (sqrt.f64 z))

rewrite59.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_7261`
9×	`associate-r_binary64_7179`
7×	`*-un-lft-identity_binary64_7239` `add-cube-cbrt_binary64_7274`
6×	`add-exp-log_binary64_7277` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275` `associate-l_binary64_7180`
4×	`sqrt-prod_binary64_7255`
3×	`unswap-sqr_binary64_7207`
2×	`associate-r/_binary64_7181` `add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `-commutative_binary64_7170` `prod-exp_binary64_7288`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `distribute-lft-in_binary64_7188` `distribute-rgt-in_binary64_7189`

Counts

2 → 44

Calls

2 calls:

24.0ms	(*.f64 y (sqrt.f64 z))
21.0ms	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))

series259.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

151.0ms	(.f64 1/2 (+.f64 x (.f64 y (sqrt.f64 z))))
108.0ms	(*.f64 y (sqrt.f64 z))

simplify210.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (163.0ms)

Iter	Nodes	Cost
0	4971	655
1	4971	655

prune866.0ms (2.2%)

Pruning

59 alts after pruning (56 fresh and 3 done)

	Pruned	Kept	Total
New	30	20	50
Fresh	2	36	38
Picked	0	1	1
Done	0	2	2
Total	32	59	91

Merged error: 0.3b

Counts

91 → 59

Compiler

Compiled 1933 to 1268 computations (34.4% saved)

localize21.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 1/2 (+.f64 x (.f64 1 (*.f64 y (sqrt.f64 z)))))
0.3b	(*.f64 y (sqrt.f64 z))

rewrite34.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_7261`
10×	`associate-r_binary64_7179`
8×	`*-un-lft-identity_binary64_7239`
7×	`add-cube-cbrt_binary64_7274`
6×	`add-exp-log_binary64_7277` `pow1_binary64_7300` `add-cbrt-cube_binary64_7275` `associate-l_binary64_7180`
4×	`sqrt-prod_binary64_7255`
3×	`unswap-sqr_binary64_7207`
2×	`associate-r/_binary64_7181` `add-log-exp_binary64_7278` `cbrt-unprod_binary64_7272` `pow-prod-down_binary64_7310` `-commutative_binary64_7170` `prod-exp_binary64_7288`
1×	`flip-+_binary64_7213` `flip3-+_binary64_7242` `distribute-lft-in_binary64_7188` `distribute-rgt-in_binary64_7189` `distribute-lft-out_binary64_7190`

Counts

2 → 45

Calls

2 calls:

14.0ms	(.f64 1/2 (+.f64 x (.f64 1 (*.f64 y (sqrt.f64 z)))))
12.0ms	(*.f64 y (sqrt.f64 z))

series243.0ms (0.6%)

Counts

2 → 6

Calls

2 calls:

133.0ms	(.f64 1/2 (+.f64 x (.f64 1 (*.f64 y (sqrt.f64 z)))))
111.0ms	(*.f64 y (sqrt.f64 z))

simplify240.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (211.0ms)

Iter	Nodes	Cost
0	4945	656
1	4945	656

prune1.2s (3.1%)

Pruning

70 alts after pruning (66 fresh and 4 done)

	Pruned	Kept	Total
New	38	13	51
Fresh	2	53	55
Picked	0	1	1
Done	0	3	3
Total	40	70	110

Merged error: 0.3b

Counts

110 → 70

Compiler

Compiled 961 to 579 computations (39.8% saved)

regimes9.3s (24.2%)

Compiler: Compiled 16919 to 13948 computations (17.6% saved)

bsearch9.1s (23.5%)

simplify47.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	12
1	16	12

end0.0ms (0%)

sample12.6s (32.6%)

Algorithm

1×

intervals

Results

1.1s	8000×	body	128	valid
138.0ms	1075×	body	128	nan
40.0ms	395×	body	128	invalid

Compiler

Compiled 2540 to 2072 computations (18.4% saved)

Pareto

0.14870466727246767

Details

analyze895.0ms (2.3%)

sample65.0ms (0.2%)

simplify352.0ms (0.9%)

prune23.0ms (0.1%)

localize28.0ms (0.1%)

rewrite115.0ms (0.3%)

series301.0ms (0.8%)

simplify254.0ms (0.7%)

prune665.0ms (1.7%)

localize20.0ms (0.1%)

rewrite71.0ms (0.2%)

series232.0ms (0.6%)

simplify244.0ms (0.6%)

prune1.1s (2.9%)

localize34.0ms (0.1%)

rewrite59.0ms (0.2%)

series259.0ms (0.7%)

simplify210.0ms (0.5%)

prune866.0ms (2.2%)

localize21.0ms (0.1%)

rewrite34.0ms (0.1%)

series243.0ms (0.6%)

simplify240.0ms (0.6%)

prune1.2s (3.1%)

regimes9.3s (24.2%)

bsearch9.1s (23.5%)

simplify47.0ms (0.1%)

end0.0ms (0%)

sample12.6s (32.6%)

Profiling