Details

analyze575.0ms (9.5%)

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
18.7%	81.1%	0.2%	9
21.8%	78%	0.2%	10
25%	74.9%	0.2%	11
34.7%	64.9%	0.4%	12
47.2%	51.9%	0.9%	13
49%	49.2%	1.8%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample18.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	51×	body	80	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify23.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	68	10
1	68	10

prune3.0ms (0%)

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: 13.7b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

13.4b

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64`
1×	`-un-lft-identity_binary64` `associate-/r_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `clear-num_binary64` `frac-2neg_binary64` `add-sqr-sqrt_binary64` `associate-/l*_binary64` `times-frac_binary64` `div-inv_binary64` `insert-posit16`

Counts

1 → 22

Calls

1 calls:

7.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

series63.0ms (1%)

Counts

1 → 3

Calls

1 calls:

63.0ms

(/.f64 (*.f64 a1 a2) (*.f64 b1 b2))

simplify155.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	5103	292

prune25.0ms (0.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	18	7	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	19	7	26

Merged error: 0.0b

Counts

26 → 7

Compiler

Compiled 325 to 111 computations (65.8% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.9b	(/.f64 b1 (/.f64 a2 b2))
5.5b	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))

rewrite47.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

471×	`times-frac_binary64`
229×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
57×	`associate-/r*_binary64`
22×	`div-inv_binary64`
16×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`associate-/r/_binary64` `associate-/l*_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64` `insert-posit16`

Counts

2 → 268

Calls

2 calls:

17.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
7.0ms	(/.f64 b1 (/.f64 a2 b2))

series99.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(/.f64 a1 (/.f64 b1 (/.f64 a2 b2)))
43.0ms	(/.f64 b1 (/.f64 a2 b2))

simplify218.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

274 → 274

Iterations

Useful iterations: 0 (147.0ms)

Iter	Nodes	Cost
0	4979	6196
1	4979	6196

prune211.0ms (3.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	269	5	274
Fresh	4	2	6
Picked	0	1	1
Done	0	0	0
Total	273	8	281

Merged error: 0b

Counts

281 → 8

Compiler

Compiled 4801 to 823 computations (82.9% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a1)
1.5b	(/.f64 (cbrt.f64 b1) (/.f64 a2 b2))
1.9b	(/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b1) (/.f64 a2 b2)))
5.0b	(.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b1) (/.f64 a2 b2))))

rewrite371.0ms (6.1%)

Algorithm

1×	rewrite-expression-head

Rules

2909×	`times-frac_binary64`
1392×	`add-sqr-sqrt_binary64`
1315×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
1071×	`cbrt-prod_binary64`
503×	`associate-r_binary64`
120×	`add-exp-log_binary64`
102×	`div-inv_binary64`
96×	`associate-/r*_binary64`
56×	`add-cbrt-cube_binary64`
55×	`cbrt-undiv_binary64` `div-exp_binary64`
36×	`cbrt-unprod_binary64` `prod-exp_binary64`
22×	`unswap-sqr_binary64`
16×	`associate-/r/_binary64`
12×	`associate-/l*_binary64`
6×	`pow1_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `insert-posit16`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `pow1/3_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 1313

Calls

4 calls:

167.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b1) (/.f64 a2 b2))))
28.0ms	(/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b1) (/.f64 a2 b2)))
8.0ms	(/.f64 (cbrt.f64 b1) (/.f64 a2 b2))
1.0ms	(cbrt.f64 a1)

series664.0ms (11%)

Counts

4 → 12

Calls

4 calls:

266.0ms	(/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b1) (/.f64 a2 b2)))
175.0ms	(/.f64 (cbrt.f64 b1) (/.f64 a2 b2))
148.0ms	(cbrt.f64 a1)
76.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 a1) (cbrt.f64 a1)) (*.f64 (cbrt.f64 b1) (cbrt.f64 b1))) (/.f64 (cbrt.f64 a1) (/.f64 (cbrt.f64 b1) (/.f64 a2 b2))))

simplify573.0ms (9.5%)

Algorithm

1×	egg-herbie

Counts

1325 → 1325

Iterations

Useful iterations: 0 (189.0ms)

Iter	Nodes	Cost
0	4993	42880
1	4993	42880

prune1.7s (27.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1325	0	1325
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	1325	8	1333

Merged error: 0b

Counts

1333 → 8

Compiler

Compiled 43668 to 9115 computations (79.1% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.4b	(*.f64 a2 (/.f64 a1 b1))
6.7b	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 58

Calls

2 calls:

8.0ms	(*.f64 a2 (/.f64 a1 b1))
8.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)

series91.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(/.f64 (*.f64 a2 (/.f64 a1 b1)) b2)
35.0ms	(*.f64 a2 (/.f64 a1 b1))

simplify151.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4969	689
1	4969	689

prune37.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	64	8	72

Merged error: 0b

Counts

72 → 8

Compiler

Compiled 701 to 176 computations (74.9% saved)

regimes258.0ms (4.3%)

Compiler: Compiled 510 to 486 computations (4.7% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	45	113
1	45	113

end0.0ms (0%)

sample706.0ms (11.7%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	80	valid
59.0ms	1902×	body	80	invalid

Compiler

Compiled 168 to 122 computations (27.4% saved)

Details

analyze575.0ms (9.5%)

sample18.0ms (0.3%)

simplify23.0ms (0.4%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite8.0ms (0.1%)

series63.0ms (1%)

simplify155.0ms (2.6%)

prune25.0ms (0.4%)

localize6.0ms (0.1%)

rewrite47.0ms (0.8%)

series99.0ms (1.6%)

simplify218.0ms (3.6%)

prune211.0ms (3.5%)

localize15.0ms (0.2%)

rewrite371.0ms (6.1%)

series664.0ms (11%)

simplify573.0ms (9.5%)

prune1.7s (27.9%)

localize9.0ms (0.1%)

rewrite18.0ms (0.3%)

series91.0ms (1.5%)

simplify151.0ms (2.5%)

prune37.0ms (0.6%)

regimes258.0ms (4.3%)

bsearch1.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample706.0ms (11.7%)

Profiling