Details

analyze299.0ms (22.8%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
33.5%	63.2%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
54.5%	34.2%	11.3%	12
60.6%	25.6%	13.8%	13
65.2%	20.4%	14.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample21.0ms (1.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify25.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	274	10
1	274	10

prune8.0ms (0.6%)

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: 0b

Counts

2 → 2

Compiler

Compiled 39 to 34 computations (12.8% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
0.0b	(*.f64 (-.f64 x 1) z)

rewrite15.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

8.0ms	(*.f64 (-.f64 x 1) z)
5.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))

series89.0ms (6.8%)

Counts

2 → 6

Calls

2 calls:

52.0ms	(+.f64 (.f64 x y) (.f64 (-.f64 x 1) z))
38.0ms	(*.f64 (-.f64 x 1) z)

simplify66.0ms (5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4974	473
1	4974	473

prune30.0ms (2.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	41	2	43

Merged error: 0b

Counts

43 → 2

Compiler

Compiled 562 to 258 computations (54.1% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64` `cancel-sign-sub-inv_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

2 → 39

Calls

2 calls:

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

series102.0ms (7.8%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(-.f64 (*.f64 x (+.f64 y z)) z)
50.0ms	(*.f64 x (+.f64 y z))

simplify62.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4940	479
1	4940	479

prune25.0ms (1.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	45	2	47

Merged error: 0b

Counts

47 → 2

Compiler

Compiled 512 to 118 computations (77% saved)

regimes35.0ms (2.7%)

Compiler: Compiled 88 to 90 computations (-2.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample503.0ms (38.3%)

Algorithm

1×

intervals

Results

236.0ms	8000×	body	128	valid
21.0ms	648×	body	128	invalid

Compiler

Compiled 33 to 32 computations (3% saved)

Details

analyze299.0ms (22.8%)

sample21.0ms (1.6%)

simplify25.0ms (1.9%)

prune8.0ms (0.6%)

localize7.0ms (0.5%)

rewrite15.0ms (1.2%)

series89.0ms (6.8%)

simplify66.0ms (5%)

prune30.0ms (2.3%)

localize6.0ms (0.4%)

rewrite17.0ms (1.3%)

series102.0ms (7.8%)

simplify62.0ms (4.8%)

prune25.0ms (1.9%)

regimes35.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample503.0ms (38.3%)

Profiling