Details

analyze1.6s (20%)

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
9.4%	90.4%	0.2%	8
9.4%	90.4%	0.2%	9
10.9%	88.9%	0.2%	10
25.9%	73.9%	0.2%	11
47.1%	52.7%	0.2%	12
55.3%	44.5%	0.2%	13
59.2%	40.6%	0.2%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample36.0ms (0.4%)

Algorithm

1×

intervals

Results

21.0ms

256×

body

128

valid

Compiler

Compiled 35 to 33 computations (5.7% saved)

simplify250.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5059	19

prune8.0ms (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: 1.9b

Counts

2 → 2

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize18.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
5.4b	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
5.7b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite51.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_12354` `add-sqr-sqrt_binary64_12376`
17×	`times-frac_binary64_12360` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
14×	`add-cube-cbrt_binary64_12389`
6×	`associate-/r*_binary64_12298`
5×	`cbrt-undiv_binary64_12388` `add-log-exp_binary64_12393` `distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323` `cancel-sign-sub-inv_binary64_12320` `div-exp_binary64_12405`
4×	`cbrt-unprod_binary64_12387` `associate-/l*_binary64_12299` `prod-exp_binary64_12403`
3×	`div-inv_binary64_12351` `pow1_binary64_12415`
2×	`flip--_binary64_12329` `clear-num_binary64_12353` `frac-2neg_binary64_12365` `associate-/r/_binary64_12300` `flip3--_binary64_12358`
1×	`diff-log_binary64_12446` `sub-neg_binary64_12347`

Counts

3 → 76

Calls

3 calls:

17.0ms	(/.f64 (.f64 y t) (.f64 2 z))
12.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
10.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))

series312.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

209.0ms	(/.f64 y (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
65.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
38.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify133.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	5076	1614

prune166.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	81	4	85
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	82	5	87

Merged error: 0.2b

Counts

87 → 5

Compiler

Compiled 1739 to 898 computations (48.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))
0.4b	(/.f64 2 (/.f64 t z))
4.2b	(/.f64 y (/.f64 2 (/.f64 t z)))
5.4b	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))

rewrite335.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

855×	`times-frac_binary64_12360`
464×	`add-sqr-sqrt_binary64_12376`
404×	`*-un-lft-identity_binary64_12354`
394×	`add-cube-cbrt_binary64_12389`
137×	`cancel-sign-sub-inv_binary64_12320`
65×	`associate-/r*_binary64_12298`
36×	`div-inv_binary64_12351`
20×	`difference-of-squares_binary64_12323` `add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
12×	`associate-/r/_binary64_12300`
10×	`cbrt-undiv_binary64_12388` `div-exp_binary64_12405`
9×	`associate-/l*_binary64_12299`
6×	`add-log-exp_binary64_12393`
5×	`distribute-lft-out--_binary64_12306`
4×	`pow1_binary64_12415`
3×	`clear-num_binary64_12353` `frac-2neg_binary64_12365`
2×	`flip--_binary64_12329` `flip3--_binary64_12358`
1×	`diff-log_binary64_12446` `sub-neg_binary64_12347`

Counts

4 → 468

Calls

4 calls:

94.0ms	(-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))
78.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))
29.0ms	(/.f64 y (/.f64 2 (/.f64 t z)))
10.0ms	(/.f64 2 (/.f64 t z))

series325.0ms (4%)

Counts

4 → 12

Calls

4 calls:

207.0ms	(/.f64 y (-.f64 z (/.f64 y (/.f64 2 (/.f64 t z)))))
54.0ms	(-.f64 z (/.f64 y (/.f64 2 (/.f64 t z))))
40.0ms	(/.f64 y (/.f64 2 (/.f64 t z)))
23.0ms	(/.f64 2 (/.f64 t z))

simplify260.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

480 → 480

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5022	12822

prune1.0s (12.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	480	0	480
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	480	5	485

Merged error: 0.2b

Counts

485 → 5

Compiler

Compiled 11848 to 5376 computations (54.6% saved)

localize19.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))
4.0b	(*.f64 (/.f64 y 2) (/.f64 t z))
5.4b	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))

rewrite55.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary64_12376`
31×	`times-frac_binary64_12360`
25×	`*-un-lft-identity_binary64_12354` `add-cube-cbrt_binary64_12389`
17×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
13×	`associate-l_binary64_12295` `associate-r_binary64_12294`
5×	`cbrt-undiv_binary64_12388` `add-log-exp_binary64_12393` `pow1_binary64_12415` `div-exp_binary64_12405`
4×	`cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322`
3×	`associate-/r_binary64_12298` `associate-/l_binary64_12299` `div-inv_binary64_12351`
2×	`flip--_binary64_12329` `associate-/r/_binary64_12300` `flip3--_binary64_12358`
1×	`pow-prod-down_binary64_12425` `clear-num_binary64_12353` `frac-times_binary64_12364` `diff-log_binary64_12446` `frac-2neg_binary64_12365` `associate-l/_binary64_12297` `cancel-sign-sub-inv_binary64_12320` `associate-r/_binary64_12296` `sub-neg_binary64_12347` `*-commutative_binary64_12285`

Counts

3 → 91

Calls

3 calls:

23.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))
10.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
6.0ms	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))

series353.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

253.0ms	(/.f64 y (-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z))))
58.0ms	(-.f64 z (*.f64 (/.f64 y 2) (/.f64 t z)))
42.0ms	(*.f64 (/.f64 y 2) (/.f64 t z))

simplify135.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4986	1745
1	4986	1745

prune165.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 0.2b

Counts

105 → 5

Compiler

Compiled 2046 to 1047 computations (48.8% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
0.1b	(/.f64 1 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
5.5b	(.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 2 z)))))
5.7b	(/.f64 (.f64 y t) (.f64 2 z))

rewrite84.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`add-sqr-sqrt_binary64_12376`
42×	`*-un-lft-identity_binary64_12354`
34×	`times-frac_binary64_12360`
29×	`add-exp-log_binary64_12392`
25×	`add-cube-cbrt_binary64_12389`
23×	`add-cbrt-cube_binary64_12390`
21×	`associate-r_binary64_12294`
8×	`distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323` `prod-exp_binary64_12403` `div-exp_binary64_12405`
7×	`pow1_binary64_12415`
6×	`associate-/r*_binary64_12298` `cbrt-unprod_binary64_12387` `cbrt-undiv_binary64_12388` `add-log-exp_binary64_12393`
5×	`cancel-sign-sub-inv_binary64_12320`
4×	`associate-/l*_binary64_12299` `div-inv_binary64_12351` `associate-/r/_binary64_12300`
3×	`flip--_binary64_12329` `associate-l_binary64_12295` `flip3--_binary64_12358` `unswap-sqr_binary64_12322`
2×	`clear-num_binary64_12353` `frac-2neg_binary64_12365` `rec-exp_binary64_12404` `1-exp_binary64_12398`
1×	`pow-prod-down_binary64_12425` `diff-log_binary64_12446` `un-div-inv_binary64_12352` `inv-pow_binary64_12439` `pow-flip_binary64_12428` `associate-r/_binary64_12296` `sub-neg_binary64_12347` `-commutative_binary64_12285`

Counts

4 → 124

Calls

4 calls:

26.0ms	(.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 2 z)))))
14.0ms	(/.f64 1 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
11.0ms	(/.f64 (.f64 y t) (.f64 2 z))
11.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))

series357.0ms (4.4%)

Counts

4 → 12

Calls

4 calls:

204.0ms	(.f64 y (/.f64 1 (-.f64 z (/.f64 (.f64 y t) (*.f64 2 z)))))
58.0ms	(-.f64 z (/.f64 (.f64 y t) (.f64 2 z)))
49.0ms	(/.f64 1 (-.f64 z (/.f64 (.f64 y t) (.f64 2 z))))
46.0ms	(/.f64 (.f64 y t) (.f64 2 z))

simplify114.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5028	2456

prune231.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	136	5	141

Merged error: 0.2b

Counts

141 → 5

Compiler

Compiled 2883 to 1621 computations (43.8% saved)

regimes364.0ms (4.5%)

Compiler: Compiled 1958 to 1560 computations (20.3% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	19
1	39	19

end0.0ms (0%)

sample1.7s (21%)

Algorithm

1×

intervals

Results

707.0ms

8000×

body

128

valid

Compiler

Compiled 350 to 280 computations (20% saved)

Details

analyze1.6s (20%)

sample36.0ms (0.4%)

simplify250.0ms (3.1%)

prune8.0ms (0.1%)

localize18.0ms (0.2%)

rewrite51.0ms (0.6%)

series312.0ms (3.8%)

simplify133.0ms (1.6%)

prune166.0ms (2%)

localize18.0ms (0.2%)

rewrite335.0ms (4.1%)

series325.0ms (4%)

simplify260.0ms (3.2%)

prune1.0s (12.3%)

localize19.0ms (0.2%)

rewrite55.0ms (0.7%)

series353.0ms (4.3%)

simplify135.0ms (1.7%)

prune165.0ms (2%)

localize22.0ms (0.3%)

rewrite84.0ms (1%)

series357.0ms (4.4%)

simplify114.0ms (1.4%)

prune231.0ms (2.8%)

regimes364.0ms (4.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.7s (21%)

Profiling