Details

analyze311.0ms (21.5%)

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
15.6%	84.3%	0.1%	7
29.6%	70.2%	0.1%	8
36.7%	60.1%	3.3%	9
43.3%	49.5%	7.2%	10
52.1%	39.2%	8.7%	11
57.6%	31.1%	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)

sample16.0ms (1.1%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	26×	body	80	invalid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify27.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	302	10
1	302	10

prune7.0ms (0.5%)

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: 0.0b

Counts

2 → 2

Compiler

Compiled 23 to 20 computations (13% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`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` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 34

Calls

2 calls:

8.0ms	(+.f64 (.f64 (-.f64 1 x) y) (.f64 x z))
7.0ms	(*.f64 (-.f64 1 x) y)

series12.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

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

simplify96.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4942	470
1	4942	470

prune22.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Merged error: 0.0b

Counts

42 → 2

Compiler

Compiled 550 to 252 computations (54.2% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

7.0ms	(*.f64 x (-.f64 z y))
4.0ms	(+.f64 y (*.f64 x (-.f64 z y)))

series17.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

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

simplify97.0ms (6.7%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4951	482
1	4951	482

prune17.0ms (1.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	43	2	45

Merged error: 0.0b

Counts

45 → 2

Compiler

Compiled 506 to 127 computations (74.9% saved)

regimes112.0ms (7.7%)

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

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	13
1	23	13

end0.0ms (0%)

sample674.0ms (46.5%)

Algorithm

1×

intervals

Results

222.0ms	8000×	body	80	valid
18.0ms	661×	body	80	invalid

Compiler

Compiled 42 to 40 computations (4.8% saved)

Details

analyze311.0ms (21.5%)

sample16.0ms (1.1%)

simplify27.0ms (1.8%)

prune7.0ms (0.5%)

localize6.0ms (0.4%)

rewrite16.0ms (1.1%)

series12.0ms (0.9%)

simplify96.0ms (6.6%)

prune22.0ms (1.5%)

localize5.0ms (0.3%)

rewrite12.0ms (0.8%)

series17.0ms (1.2%)

simplify97.0ms (6.7%)

prune17.0ms (1.2%)

regimes112.0ms (7.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample674.0ms (46.5%)

Profiling