Details

analyze1.6s (22.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	99.7%	0.3%	13
0%	99.7%	0.3%	14

Compiler

Compiled 20 to 19 computations (5% saved)

sample46.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	80	valid
9.0ms	149×	body	80	invalid

Compiler

Compiled 39 to 44 computations (-12.8% saved)

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4995	25
1	4995	25

prune6.0ms (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: 5.4b

Counts

2 → 2

Compiler

Compiled 53 to 52 computations (1.9% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 x 9) y)
0.5b	(-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 4 (.f64 t a)))
1.1b	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
8.9b	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 4 (.f64 t a))) c)

rewrite49.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1_binary64`
6×	`associate-/r_binary64` `add-log-exp_binary64` `associate-/l_binary64`
4×	`associate-/l/_binary64` `insert-posit16`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-l_binary64` `div-sub_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 92

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 4 (.f64 t a))) c)
14.0ms	(-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 4 (.f64 t a)))
11.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
6.0ms	(.f64 (.f64 x 9) y)

series681.0ms (9.2%)

Counts

4 → 12

Calls

4 calls:

294.0ms	(/.f64 (-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 4 (.f64 t a))) c)
239.0ms	(-.f64 (/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z) (.f64 4 (.f64 t a)))
113.0ms	(/.f64 (+.f64 (.f64 (.f64 x 9) y) b) z)
35.0ms	(.f64 (.f64 x 9) y)

simplify144.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	5764	2492

prune165.0ms (2.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	93	11	104
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	94	12	106

Merged error: 5.2b

Counts

106 → 12

Compiler

Compiled 2970 to 1758 computations (40.8% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
2.6b	(/.f64 b (*.f64 z c))
6.8b	(/.f64 (.f64 4 (.f64 t a)) c)
7.0b	(/.f64 (.f64 x y) (.f64 z c))

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`cbrt-unprod_binary64` `prod-exp_binary64`
13×	`cbrt-undiv_binary64` `div-exp_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`times-frac_binary64`
6×	`pow1_binary64`
5×	`associate-/r_binary64` `associate-r_binary64` `associate-/l_binary64`
4×	`add-log-exp_binary64` `div-inv_binary64` `insert-posit16`
3×	`associate-l_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

10.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
8.0ms	(/.f64 (.f64 4 (.f64 t a)) c)
8.0ms	(/.f64 (.f64 x y) (.f64 z c))
5.0ms	(/.f64 b (*.f64 z c))

series210.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(.f64 9 (/.f64 (.f64 x y) (*.f64 z c)))
61.0ms	(/.f64 (.f64 x y) (.f64 z c))
44.0ms	(/.f64 (.f64 4 (.f64 t a)) c)
34.0ms	(/.f64 b (*.f64 z c))

simplify165.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4969	1332
1	4969	1332

prune141.0ms (1.9%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	104	6	110
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	107	15	122

Merged error: 3.0b

Counts

122 → 15

Compiler

Compiled 3303 to 1345 computations (59.3% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

7.0b	(/.f64 (.f64 x y) (.f64 z c))
15.9b	(cbrt.f64 (/.f64 b (*.f64 z c)))
15.9b	(cbrt.f64 (/.f64 b (*.f64 z c)))
15.9b	(cbrt.f64 (/.f64 b (*.f64 z c)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`cbrt-prod_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `insert-posit16`
3×	`cbrt-div_binary64` `pow1/3_binary64`
1×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64`

Counts

4 → 73

Calls

4 calls:

7.0ms	(/.f64 (.f64 x y) (.f64 z c))
5.0ms	(cbrt.f64 (/.f64 b (*.f64 z c)))
4.0ms	(cbrt.f64 (/.f64 b (*.f64 z c)))
4.0ms	(cbrt.f64 (/.f64 b (*.f64 z c)))

series529.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt.f64 (/.f64 b (*.f64 z c)))
155.0ms	(cbrt.f64 (/.f64 b (*.f64 z c)))
153.0ms	(cbrt.f64 (/.f64 b (*.f64 z c)))
62.0ms	(/.f64 (.f64 x y) (.f64 z c))

simplify89.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5005	1117

prune122.0ms (1.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	85	15	100

Merged error: 3.0b

Counts

100 → 15

Compiler

Compiled 3955 to 1174 computations (70.3% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.5b	(/.f64 x (/.f64 z (/.f64 y c)))
2.6b	(/.f64 b (*.f64 z c))
6.8b	(/.f64 (.f64 4 (.f64 t a)) c)
7.4b	(/.f64 z (/.f64 y c))

rewrite59.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

477×	`times-frac_binary64`
235×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
61×	`associate-/r*_binary64`
32×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
24×	`div-inv_binary64`
14×	`cbrt-undiv_binary64` `div-exp_binary64`
10×	`associate-/l*_binary64`
6×	`associate-/r/_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `insert-posit16`

Counts

4 → 314

Calls

4 calls:

16.0ms	(/.f64 x (/.f64 z (/.f64 y c)))
8.0ms	(/.f64 (.f64 4 (.f64 t a)) c)
7.0ms	(/.f64 z (/.f64 y c))
5.0ms	(/.f64 b (*.f64 z c))

series177.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(/.f64 x (/.f64 z (/.f64 y c)))
42.0ms	(/.f64 (.f64 4 (.f64 t a)) c)
40.0ms	(/.f64 z (/.f64 y c))
39.0ms	(/.f64 b (*.f64 z c))

simplify211.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

326 → 326

Iterations

Useful iterations: 0 (133.0ms)

Iter	Nodes	Cost
0	4968	6754
1	4968	6754

prune409.0ms (5.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	324	2	326
Fresh	3	10	13
Picked	0	1	1
Done	0	1	1
Total	327	14	341

Merged error: 2.9b

Counts

341 → 14

Compiler

Compiled 10472 to 3153 computations (69.9% saved)

regimes472.0ms (6.4%)

Compiler: Compiled 4452 to 3834 computations (13.9% saved)

bsearch2.0ms (0%)

Compiler: Compiled 19 to 18 computations (5.3% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	164	290
1	164	290

end0.0ms (0%)

sample1.9s (25.2%)

Algorithm

1×

intervals

Results

523.0ms	8000×	body	80	valid
299.0ms	4799×	body	80	invalid

Compiler

Compiled 831 to 592 computations (28.8% saved)

Details

analyze1.6s (22.1%)

sample46.0ms (0.6%)

simplify89.0ms (1.2%)

prune6.0ms (0.1%)

localize21.0ms (0.3%)

rewrite49.0ms (0.7%)

series681.0ms (9.2%)

simplify144.0ms (1.9%)

prune165.0ms (2.2%)

localize17.0ms (0.2%)

rewrite34.0ms (0.5%)

series210.0ms (2.8%)

simplify165.0ms (2.2%)

prune141.0ms (1.9%)

localize22.0ms (0.3%)

rewrite25.0ms (0.3%)

series529.0ms (7.1%)

simplify89.0ms (1.2%)

prune122.0ms (1.6%)

localize17.0ms (0.2%)

rewrite59.0ms (0.8%)

series177.0ms (2.4%)

simplify211.0ms (2.8%)

prune409.0ms (5.5%)

regimes472.0ms (6.4%)

bsearch2.0ms (0%)

simplify11.0ms (0.1%)

end0.0ms (0%)

sample1.9s (25.2%)

Profiling