Details

analyze782.0ms (25.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	48×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify144.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

prune2.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize13.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1822`
1×	`add-cbrt-cube_binary64_1819` `+-commutative_binary64_1713` `add-sqr-sqrt_binary64_1805` `add-exp-log_binary64_1821` `add-cube-cbrt_binary64_1818` `flip-+_binary64_1757` `*-un-lft-identity_binary64_1783` `sum-log_binary64_1874` `flip3-+_binary64_1786` `pow1_binary64_1844`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series53.0ms (1.7%)

Counts

1 → 3

Calls

1 calls:

53.0ms

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

simplify153.0ms (5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4831	208
1	4831	208

prune11.0ms (0.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Error

0.0b

Counts

15 → 2

Compiler

Compiled 197 to 51 computations (74.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x y) (*.f64 x y))
0.3b	(.f64 (.f64 z t) (*.f64 z t))
1.2b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
25.4b	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))

rewrite71.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

82×	`pow1_binary64_1844`
34×	`pow-prod-down_binary64_1854`
30×	`add-cbrt-cube_binary64_1819` `add-exp-log_binary64_1821`
16×	`cbrt-unprod_binary64_1816` `prod-exp_binary64_1832`
13×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
12×	`times-frac_binary64_1789`
8×	`pow-prod-up_binary64_1853` `pow-sqr_binary64_1756`
6×	`add-log-exp_binary64_1822`
5×	`difference-of-squares_binary64_1752`
4×	`associate-/l*_binary64_1728` `pow-plus_binary64_1846`
3×	`flip3--_binary64_1787` `associate-/r*_binary64_1727` `flip--_binary64_1758`
2×	`associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `swap-sqr_binary64_1750` `associate-l_binary64_1724` `-commutative_binary64_1714` `pow2_binary64_1864` `associate-r*_binary64_1723`
1×	`div-sub_binary64_1788` `div-inv_binary64_1780` `cancel-sign-sub-inv_binary64_1749` `diff-log_binary64_1875` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782` `sub-neg_binary64_1776`

Counts

4 → 117

Calls

4 calls:

24.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))
15.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
11.0ms	(.f64 (.f64 z t) (*.f64 z t))
9.0ms	(.f64 (.f64 x y) (*.f64 x y))

series389.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

157.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t)))
146.0ms	(/.f64 (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 (.f64 z t) (.f64 z t))) (-.f64 (.f64 x y) (.f64 z t)))
45.0ms	(.f64 (.f64 z t) (*.f64 z t))
41.0ms	(.f64 (.f64 x y) (*.f64 x y))

simplify89.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5040	1958

prune134.0ms (4.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	129	2	131

Error

0.0b

Counts

131 → 2

Compiler

Compiled 3149 to 772 computations (75.5% saved)

regimes160.0ms (5.3%)

Accuracy

Total 0.0b remaining (41.1%)

Threshold costs 0.0b (41.1%)

Compiler

Compiled 1049 to 675 computations (35.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample998.0ms (32.9%)

Algorithm

1×

intervals

Results

321.0ms	8000×	body	128	valid
52.0ms	1365×	body	128	invalid

Compiler

Compiled 160 to 106 computations (33.8% saved)

Details

analyze782.0ms (25.8%)

sample20.0ms (0.7%)

simplify144.0ms (4.7%)

prune2.0ms (0.1%)

localize13.0ms (0.4%)

rewrite5.0ms (0.2%)

series53.0ms (1.7%)

simplify153.0ms (5%)

prune11.0ms (0.4%)

localize10.0ms (0.3%)

rewrite71.0ms (2.3%)

series389.0ms (12.8%)

simplify89.0ms (2.9%)

prune134.0ms (4.4%)

regimes160.0ms (5.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample998.0ms (32.9%)

Profiling