Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
68.7%	6.2%	25%	6
71.8%	3.1%	25%	7
73.4%	1.6%	25%	8
74.2%	0.8%	25%	9
74.6%	0.4%	25%	10
74.8%	0.2%	25%	11
74.9%	0.1%	25%	12
74.9%	0%	25.1%	13
74.9%	0%	25.1%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample9.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify90.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	7
1	10	7

prune5.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.2b	(.f64 (.f64 x 3) x)
0.2b	(.f64 (.f64 x 3) x)

rewrite6.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_6252` `pow1_binary64_6277` `add-exp-log_binary64_6254`
3×	`associate-r_binary64_6156` `prod-exp_binary64_6265` `pow-prod-down_binary64_6287` `cbrt-unprod_binary64_6249`
2×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251` `add-sqr-sqrt_binary64_6238`
1×	`associate-l_binary64_6157` `*-commutative_binary64_6147` `add-log-exp_binary64_6255`

Counts

1 → 18

Calls

2 calls:

5.0ms	(.f64 (.f64 x 3) x)
0.0ms	(.f64 (.f64 x 3) x)

series24.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

24.0ms

(*.f64 (*.f64 x 3) x)

Compiler

Compiled 30 to 30 computations (0% saved)

simplify61.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4931	168
1	4931	168

prune23.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	16	5	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	6	22

Error

0.1b

Counts

22 → 6

Compiler

Compiled 216 to 154 computations (28.7% saved)

localize6.0ms (0.3%)

Local error

Found 8 expressions with local error:

18.4b	(sqrt.f64 (.f64 x (.f64 x 3)))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
0.2b	(.f64 x (.f64 x 3))
0.2b	(.f64 x (.f64 x 3))
0.2b	(.f64 x (.f64 x 3))
0.3b	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
18.4b	(sqrt.f64 (.f64 x (.f64 x 3)))
18.4b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite36.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

148×	`pow1_binary64_6277`
80×	`pow-prod-down_binary64_6287`
66×	`sqrt-pow1_binary64_6234`
17×	`pow-prod-up_binary64_6286`
14×	`pow1/2_binary64_6296`
11×	`pow-sqr_binary64_6189` `add-cbrt-cube_binary64_6252` `add-sqr-sqrt_binary64_6238` `add-exp-log_binary64_6254`
9×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
7×	`associate-l_binary64_6157`
6×	`sqrt-prod_binary64_6232`
5×	`associate-r_binary64_6156`
4×	`swap-sqr_binary64_6183` `prod-exp_binary64_6265` `cbrt-unprod_binary64_6249` `add-log-exp_binary64_6255`
2×	`*-commutative_binary64_6147`
1×	`pow-plus_binary64_6279` `unswap-sqr_binary64_6184` `sqrt-unprod_binary64_6236` `pow2_binary64_6297` `rem-square-sqrt_binary64_6228`

Counts

4 → 108

Calls

8 calls:

14.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
5.0ms	(.f64 x (.f64 x 3))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
3.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	(.f64 x (.f64 x 3))

series138.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(.f64 (sqrt.f64 (.f64 x (.f64 x 3))) (sqrt.f64 (.f64 x (*.f64 x 3))))
29.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
29.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
28.0ms	(.f64 x (.f64 x 3))

Compiler

Compiled 266 to 230 computations (13.5% saved)

simplify56.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4926	737
1	4926	737

prune122.0ms (5.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	6	120
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	118	8	126

Error

0.0b

Counts

126 → 8

Compiler

Compiled 1446 to 1091 computations (24.6% saved)

localize8.0ms (0.4%)

Local error

Found 8 expressions with local error:

18.4b	(sqrt.f64 (.f64 x (.f64 x 3)))
0.4b	(*.f64 x (sqrt.f64 3))
0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
0.2b	(.f64 x (.f64 x 3))
0.2b	(.f64 x (.f64 x 3))
0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
0.4b	(*.f64 x (sqrt.f64 3))
18.4b	(sqrt.f64 (.f64 x (.f64 x 3)))

rewrite27.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_6277`
16×	`add-sqr-sqrt_binary64_6238`
13×	`add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
11×	`associate-r_binary64_6156`
10×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
9×	`associate-l_binary64_6157`
8×	`pow-prod-down_binary64_6287`
6×	`sqrt-prod_binary64_6232`
5×	`prod-exp_binary64_6265` `cbrt-unprod_binary64_6249`
4×	`add-log-exp_binary64_6255`
3×	`unswap-sqr_binary64_6184` `sqrt-pow1_binary64_6234` `*-commutative_binary64_6147`
1×	`pow1/2_binary64_6296`

Counts

4 → 71

Calls

8 calls:

8.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
5.0ms	(*.f64 x (sqrt.f64 3))
5.0ms	(.f64 x (.f64 x 3))
4.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
0.0ms	(.f64 x (.f64 x 3))

series135.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 x (.f64 x 3))))
32.0ms	(sqrt.f64 (.f64 x (.f64 x 3)))
28.0ms	(*.f64 x (sqrt.f64 3))
24.0ms	(.f64 x (.f64 x 3))

Compiler

Compiled 272 to 242 computations (11% saved)

simplify75.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5158	755

prune85.0ms (4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	83	8	91

Error

0.0b

Counts

91 → 8

Compiler

Compiled 1263 to 991 computations (21.5% saved)

localize9.0ms (0.4%)

Local error

Found 8 expressions with local error:

18.4b	(sqrt.f64 (.f64 (.f64 x x) 3))
0.4b	(*.f64 x (sqrt.f64 3))
0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 (.f64 x x) 3)))
0.2b	(.f64 (.f64 x x) 3)
0.2b	(.f64 (.f64 x x) 3)
0.3b	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 (.f64 x x) 3)))
0.4b	(*.f64 x (sqrt.f64 3))
18.4b	(sqrt.f64 (.f64 (.f64 x x) 3))

rewrite30.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_6277`
17×	`add-sqr-sqrt_binary64_6238`
13×	`associate-r_binary64_6156` `add-cbrt-cube_binary64_6252` `add-exp-log_binary64_6254`
10×	`*-un-lft-identity_binary64_6216` `add-cube-cbrt_binary64_6251`
8×	`pow-prod-down_binary64_6287`
7×	`associate-l_binary64_6157`
6×	`sqrt-prod_binary64_6232`
5×	`prod-exp_binary64_6265` `cbrt-unprod_binary64_6249`
4×	`unswap-sqr_binary64_6184` `add-log-exp_binary64_6255`
3×	`sqrt-pow1_binary64_6234` `*-commutative_binary64_6147`
1×	`pow1/2_binary64_6296`

Counts

4 → 72

Calls

8 calls:

8.0ms	(.f64 (.f64 x x) 3)
8.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 (.f64 x x) 3)))
5.0ms	(*.f64 x (sqrt.f64 3))
4.0ms	(sqrt.f64 (.f64 (.f64 x x) 3))
0.0ms	(.f64 (.f64 x x) 3)

series140.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

53.0ms	(.f64 (fabs.f64 (.f64 x (sqrt.f64 3))) (sqrt.f64 (.f64 (.f64 x x) 3)))
31.0ms	(sqrt.f64 (.f64 (.f64 x x) 3))
28.0ms	(*.f64 x (sqrt.f64 3))
27.0ms	(.f64 (.f64 x x) 3)

Compiler

Compiled 272 to 242 computations (11% saved)

simplify90.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5126	768

prune79.0ms (3.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	2	3	5
Picked	0	1	1
Done	1	1	2
Total	86	6	92

Error

0.0b

Counts

92 → 6

Compiler

Compiled 1186 to 873 computations (26.4% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	186	664
1	186	664

regimes56.0ms (2.7%)

Compiler: Compiled 417 to 351 computations (15.8% saved)

bsearch0.0ms (0%)

regimes8.0ms (0.4%)

Accuracy

Total 0.2b remaining (98.5%)

Threshold costs 0.2b (98.5%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch1.0ms (0.1%)

Compiler: Compiled 7 to 8 computations (-14.3% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	8	9

end0.0ms (0%)

sample774.0ms (36.6%)

Algorithm

1×

intervals

Results

136.0ms

8000×

body

128

valid

Compiler

Compiled 428 to 363 computations (15.2% saved)

Pareto

0.0

Details

analyze3.0ms (0.1%)

sample9.0ms (0.4%)

simplify90.0ms (4.2%)

prune5.0ms (0.3%)

localize3.0ms (0.2%)

rewrite6.0ms (0.3%)

series24.0ms (1.1%)

simplify61.0ms (2.9%)

prune23.0ms (1.1%)

localize6.0ms (0.3%)

rewrite36.0ms (1.7%)

series138.0ms (6.5%)

simplify56.0ms (2.7%)

prune122.0ms (5.8%)

localize8.0ms (0.4%)

rewrite27.0ms (1.3%)

series135.0ms (6.4%)

simplify75.0ms (3.5%)

prune85.0ms (4%)

localize9.0ms (0.4%)

rewrite30.0ms (1.4%)

series140.0ms (6.6%)

simplify90.0ms (4.3%)

prune79.0ms (3.7%)

simplify12.0ms (0.5%)

regimes56.0ms (2.7%)

bsearch0.0ms (0%)

regimes8.0ms (0.4%)

bsearch1.0ms (0.1%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample774.0ms (36.6%)

Profiling