Details

analyze1.1s (18.5%)

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
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
9.4%	90.4%	0.2%	11
9.4%	90.4%	0.2%	12
10.1%	89.6%	0.2%	13
20.8%	78.9%	0.2%	14

Compiler

Compiled 14 to 14 computations (0% saved)

sample32.0ms (0.6%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	121×	body	80	invalid

Compiler

Compiled 27 to 32 computations (-18.5% saved)

simplify249.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (239.0ms)

Iter	Nodes	Cost
0	5042	19

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: 9.0b

Counts

2 → 1

Compiler

Compiled 26 to 26 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
0.5b	(.f64 (.f64 z 9) t)
8.2b	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

9.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
7.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
5.0ms	(.f64 (.f64 z 9) t)

series38.0ms (0.6%)

Counts

3 → 9

Calls

3 calls:

21.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 (.f64 z 9) t)) (.f64 a 2))
13.0ms	(-.f64 (.f64 x y) (.f64 (*.f64 z 9) t))
4.0ms	(.f64 (.f64 z 9) t)

simplify57.0ms (1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5033	1027

prune80.0ms (1.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	52	10	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	10	63

Merged error: 4.2b

Counts

63 → 10

Compiler

Compiled 1321 to 819 computations (38% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 t (.f64 9/2 (/.f64 z a))))
0.2b	(*.f64 9/2 (/.f64 z a))
5.6b	(.f64 t (.f64 9/2 (/.f64 z a)))
5.8b	(/.f64 (.f64 x y) (.f64 a 2))

rewrite30.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`add-sqr-sqrt_binary64`
14×	`associate-r_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `times-frac_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-l_binary64` `div-exp_binary64`
5×	`associate-*r/_binary64`
4×	`pow-prod-down_binary64`
2×	`unswap-sqr_binary64` `div-inv_binary64` `*-commutative_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `flip--_binary64` `frac-sub_binary64`

Counts

4 → 86

Calls

4 calls:

8.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 t (.f64 9/2 (/.f64 z a))))
7.0ms	(*.f64 9/2 (/.f64 z a))
7.0ms	(.f64 t (.f64 9/2 (/.f64 z a)))
6.0ms	(/.f64 (.f64 x y) (.f64 a 2))

series44.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(-.f64 (/.f64 (.f64 x y) (.f64 a 2)) (.f64 t (.f64 9/2 (/.f64 z a))))
6.0ms	(/.f64 (.f64 x y) (.f64 a 2))
6.0ms	(.f64 t (.f64 9/2 (/.f64 z a)))
3.0ms	(*.f64 9/2 (/.f64 z a))

simplify111.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4972	1357
1	4972	1357

prune107.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	5	98
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	98	10	108

Merged error: 0.0b

Counts

108 → 10

Compiler

Compiled 2095 to 1118 computations (46.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (/.f64 x a) (/.f64 y 2)) (.f64 t (*.f64 9/2 (/.f64 z a))))
0.2b	(*.f64 9/2 (/.f64 z a))
5.1b	(*.f64 (/.f64 x a) (/.f64 y 2))
5.6b	(.f64 t (.f64 9/2 (/.f64 z a)))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`add-sqr-sqrt_binary64`
32×	`times-frac_binary64`
30×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
27×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64`
19×	`associate-l_binary64`
13×	`pow1_binary64` `associate-*r/_binary64`
11×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `div-exp_binary64`
5×	`pow-prod-down_binary64`
3×	`div-inv_binary64` `frac-sub_binary64` `associate-l/_binary64` `-commutative_binary64`
2×	`frac-times_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `sub-div_binary64` `flip--_binary64`

Counts

4 → 118

Calls

4 calls:

13.0ms	(*.f64 (/.f64 x a) (/.f64 y 2))
9.0ms	(-.f64 (.f64 (/.f64 x a) (/.f64 y 2)) (.f64 t (*.f64 9/2 (/.f64 z a))))
7.0ms	(*.f64 9/2 (/.f64 z a))
7.0ms	(.f64 t (.f64 9/2 (/.f64 z a)))

series42.0ms (0.7%)

Counts

4 → 12

Calls

4 calls:

23.0ms	(-.f64 (.f64 (/.f64 x a) (/.f64 y 2)) (.f64 t (*.f64 9/2 (/.f64 z a))))
7.0ms	(*.f64 (/.f64 x a) (/.f64 y 2))
7.0ms	(.f64 t (.f64 9/2 (/.f64 z a)))
4.0ms	(*.f64 9/2 (/.f64 z a))

simplify101.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4963	1839
1	4963	1839

prune118.0ms (2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	128	2	130
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	129	11	140

Merged error: 0b

Counts

140 → 11

Compiler

Compiled 2781 to 1460 computations (47.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 (/.f64 x a) (sqrt.f64 2))
0.5b	(/.f64 y (sqrt.f64 2))
5.2b	(*.f64 (/.f64 (/.f64 x a) (sqrt.f64 2)) (/.f64 y (sqrt.f64 2)))
5.6b	(.f64 t (.f64 9/2 (/.f64 z a)))

rewrite80.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

337×	`times-frac_binary64`
237×	`add-sqr-sqrt_binary64`
179×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
113×	`sqrt-prod_binary64`
85×	`associate-l_binary64`
41×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
23×	`associate-r_binary64`
17×	`div-inv_binary64`
16×	`associate-/l*_binary64`
15×	`unswap-sqr_binary64`
14×	`cbrt-undiv_binary64` `div-exp_binary64`
12×	`associate-/r*_binary64`
11×	`pow1_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64`
3×	`associate-*r/_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64` `*-commutative_binary64`
1×	`associate-/l/_binary64` `frac-times_binary64` `associate-*l/_binary64`

Counts

4 → 315

Calls

4 calls:

42.0ms	(*.f64 (/.f64 (/.f64 x a) (sqrt.f64 2)) (/.f64 y (sqrt.f64 2)))
8.0ms	(/.f64 (/.f64 x a) (sqrt.f64 2))
7.0ms	(.f64 t (.f64 9/2 (/.f64 z a)))
5.0ms	(/.f64 y (sqrt.f64 2))

series48.0ms (0.8%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(*.f64 (/.f64 (/.f64 x a) (sqrt.f64 2)) (/.f64 y (sqrt.f64 2)))
7.0ms	(/.f64 (/.f64 x a) (sqrt.f64 2))
7.0ms	(.f64 t (.f64 9/2 (/.f64 z a)))
6.0ms	(/.f64 y (sqrt.f64 2))

simplify165.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

327 → 327

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4985	6290
1	4985	6290

prune371.0ms (6.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	327	0	327
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	327	11	338

Merged error: 0b

Counts

338 → 11

Compiler

Compiled 8983 to 5174 computations (42.4% saved)

regimes1.1s (18.4%)

Compiler: Compiled 2156 to 2085 computations (3.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 9 to 10 computations (-11.1% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	143	79
1	143	79

end0.0ms (0%)

sample1.9s (32.6%)

Algorithm

1×

intervals

Results

338.0ms	8000×	body	80	valid
126.0ms	3035×	body	80	invalid

Compiler

Compiled 297 to 258 computations (13.1% saved)

Details

analyze1.1s (18.5%)

sample32.0ms (0.6%)

simplify249.0ms (4.2%)

prune6.0ms (0.1%)

localize9.0ms (0.2%)

rewrite24.0ms (0.4%)

series38.0ms (0.6%)

simplify57.0ms (1%)

prune80.0ms (1.4%)

localize10.0ms (0.2%)

rewrite30.0ms (0.5%)

series44.0ms (0.7%)

simplify111.0ms (1.9%)

prune107.0ms (1.8%)

localize10.0ms (0.2%)

rewrite40.0ms (0.7%)

series42.0ms (0.7%)

simplify101.0ms (1.7%)

prune118.0ms (2%)

localize13.0ms (0.2%)

rewrite80.0ms (1.4%)

series48.0ms (0.8%)

simplify165.0ms (2.8%)

prune371.0ms (6.3%)

regimes1.1s (18.4%)

bsearch1.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.9s (32.6%)

Profiling