Details

analyze791.0ms (20.3%)

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
3.1%	96.7%	0.2%	8
17.2%	82.7%	0.2%	9
21.8%	78%	0.2%	10
30%	68.8%	1.2%	11
31.8%	65.3%	2.9%	12
40.1%	55.3%	4.6%	13
44.5%	50.1%	5.4%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample20.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	57×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify143.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms (0%)

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

2.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)
6.1b	(*.f64 (/.f64 x y) (-.f64 z t))

rewrite24.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_12376`
16×	`*-un-lft-identity_binary64_12354`
14×	`add-cube-cbrt_binary64_12389`
13×	`associate-l_binary64_12295`
12×	`cancel-sign-sub-inv_binary64_12320`
10×	`times-frac_binary64_12360`
8×	`associate-+l+_binary64_12287` `distribute-lft-in_binary64_12303` `distribute-rgt-in_binary64_12304`
7×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
5×	`associate-r_binary64_12294`
4×	`add-log-exp_binary64_12393` `pow1_binary64_12415` `sub-neg_binary64_12347`
2×	`flip--_binary64_12329` `frac-times_binary64_12364` `cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `associate-*r/_binary64_12296` `flip3--_binary64_12358` `unswap-sqr_binary64_12322`
1×	`pow-prod-down_binary64_12425` `div-inv_binary64_12351` `cbrt-undiv_binary64_12388` `distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323` `associate-l/_binary64_12297` `sum-log_binary64_12445` `flip-+_binary64_12328` `div-exp_binary64_12405` `+-commutative_binary64_12284` `flip3-+_binary64_12357` `-commutative_binary64_12285`

Counts

2 → 65

Calls

2 calls:

10.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
9.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

series101.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(*.f64 (/.f64 x y) (-.f64 z t))
41.0ms	(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t)

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5067	1022

prune62.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	7	72

Error

0.0b

Counts

72 → 7

Compiler

Compiled 1155 to 286 computations (75.2% saved)

localize14.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.3b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

73×	`add-exp-log_binary64_12392`
39×	`add-cbrt-cube_binary64_12390`
37×	`cbrt-unprod_binary64_12387` `prod-exp_binary64_12403`
17×	`cbrt-undiv_binary64_12388` `div-exp_binary64_12405`
9×	`frac-times_binary64_12364` `cbrt-prod_binary64_12385` `pow1_binary64_12415`
8×	`*-un-lft-identity_binary64_12354` `add-sqr-sqrt_binary64_12376` `add-cube-cbrt_binary64_12389`
7×	`associate-*r/_binary64_12296`
5×	`associate-l_binary64_12295` `associate-*l/_binary64_12297`
4×	`flip--_binary64_12329` `add-log-exp_binary64_12393` `flip3--_binary64_12358`
3×	`pow-prod-down_binary64_12425` `pow1/3_binary64_12436`
1×	`div-inv_binary64_12351` `associate-r_binary64_12294` `times-frac_binary64_12360` `*-commutative_binary64_12285`

Counts

4 → 90

Calls

4 calls:

21.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series294.0ms (7.6%)

Counts

4 → 12

Calls

4 calls:

77.0ms	(cbrt.f64 x)
76.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)
65.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) (cbrt.f64 y))))

simplify45.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5125	1154

prune81.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	101	8	109

Error

0.0b

Counts

109 → 8

Compiler

Compiled 2144 to 512 computations (76.1% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 t (*.f64 (/.f64 x y) t))
0.0b	(+.f64 (.f64 z (/.f64 x y)) (-.f64 t (.f64 (/.f64 x y) t)))
3.7b	(*.f64 (/.f64 x y) t)
4.3b	(*.f64 z (/.f64 x y))

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64_12376`
21×	`*-un-lft-identity_binary64_12354`
20×	`times-frac_binary64_12360` `add-cube-cbrt_binary64_12389`
16×	`associate-l_binary64_12295` `associate-r_binary64_12294`
14×	`add-cbrt-cube_binary64_12390` `add-exp-log_binary64_12392`
11×	`add-log-exp_binary64_12393`
8×	`pow1_binary64_12415`
4×	`cbrt-unprod_binary64_12387` `prod-exp_binary64_12403` `unswap-sqr_binary64_12322`
3×	`associate-*r/_binary64_12296`
2×	`pow-prod-down_binary64_12425` `flip--_binary64_12329` `diff-log_binary64_12446` `div-inv_binary64_12351` `cbrt-undiv_binary64_12388` `associate-+r+_binary64_12286` `cancel-sign-sub-inv_binary64_12320` `sum-log_binary64_12445` `flip3--_binary64_12358` `div-exp_binary64_12405` `sub-neg_binary64_12347` `*-commutative_binary64_12285` `frac-add_binary64_12362`
1×	`distribute-rgt-out--_binary64_12308` `associate-*l/_binary64_12297` `flip-+_binary64_12328` `associate-+r-_binary64_12288` `+-commutative_binary64_12284` `flip3-+_binary64_12357`

Counts

4 → 94

Calls

4 calls:

8.0ms	(+.f64 (.f64 z (/.f64 x y)) (-.f64 t (.f64 (/.f64 x y) t)))
7.0ms	(*.f64 z (/.f64 x y))
7.0ms	(*.f64 (/.f64 x y) t)
3.0ms	(-.f64 t (*.f64 (/.f64 x y) t))

series107.0ms (2.8%)

Counts

4 → 12

Calls

4 calls:

42.0ms	(+.f64 (.f64 z (/.f64 x y)) (-.f64 t (.f64 (/.f64 x y) t)))
25.0ms	(-.f64 t (*.f64 (/.f64 x y) t))
22.0ms	(*.f64 (/.f64 x y) t)
18.0ms	(*.f64 z (/.f64 x y))

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4981	1378
1	4981	1378

prune72.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	106	8	114

Error

0.0b

Counts

114 → 8

Compiler

Compiled 2013 to 426 computations (78.8% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
1.6b	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
2.2b	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`add-exp-log_binary64_12392`
35×	`add-cbrt-cube_binary64_12390`
33×	`prod-exp_binary64_12403`
32×	`add-sqr-sqrt_binary64_12376`
24×	`*-un-lft-identity_binary64_12354`
23×	`associate-r_binary64_12294` `times-frac_binary64_12360`
22×	`add-cube-cbrt_binary64_12389`
20×	`cbrt-unprod_binary64_12387`
18×	`div-exp_binary64_12405`
16×	`cbrt-prod_binary64_12385`
12×	`associate-l_binary64_12295`
11×	`frac-times_binary64_12364` `pow1_binary64_12415`
10×	`cbrt-undiv_binary64_12388`
8×	`associate-*r/_binary64_12296`
7×	`associate-*l/_binary64_12297`
6×	`flip--_binary64_12329` `1-exp_binary64_12398` `flip3--_binary64_12358`
4×	`pow-prod-down_binary64_12425` `add-log-exp_binary64_12393`
3×	`unswap-sqr_binary64_12322`
2×	`div-inv_binary64_12351` `pow1/3_binary64_12436` `*-commutative_binary64_12285`
1×	`distribute-lft-out--_binary64_12306` `difference-of-squares_binary64_12323`

Counts

4 → 123

Calls

4 calls:

16.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
15.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series374.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

107.0ms	(*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y))
102.0ms	(.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) 1) (*.f64 (-.f64 z t) (/.f64 (cbrt.f64 x) y)))
83.0ms	(cbrt.f64 x)
83.0ms	(cbrt.f64 x)

simplify91.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	5046	1717

prune103.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	136	7	143

Error

0.0b

Counts

143 → 7

Compiler

Compiled 2649 to 777 computations (70.7% saved)

regimes273.0ms (7%)

Accuracy

Total 0.9b remaining (99.5%)

Threshold costs 0.9b (99.5%)

Compiler

Compiled 2976 to 2012 computations (32.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	37
1	28	37

end0.0ms (0%)

sample1.0s (26.3%)

Algorithm

1×

intervals

Results

269.0ms	8000×	body	128	valid
70.0ms	2096×	body	128	invalid

Compiler

Compiled 522 to 346 computations (33.7% saved)

Details

analyze791.0ms (20.3%)

sample20.0ms (0.5%)

simplify143.0ms (3.7%)

prune2.0ms (0%)

localize6.0ms (0.2%)

rewrite24.0ms (0.6%)

series101.0ms (2.6%)

simplify66.0ms (1.7%)

prune62.0ms (1.6%)

localize14.0ms (0.4%)

rewrite37.0ms (0.9%)

series294.0ms (7.6%)

simplify45.0ms (1.2%)

prune81.0ms (2.1%)

localize8.0ms (0.2%)

rewrite31.0ms (0.8%)

series107.0ms (2.8%)

simplify62.0ms (1.6%)

prune72.0ms (1.9%)

localize11.0ms (0.3%)

rewrite45.0ms (1.2%)

series374.0ms (9.6%)

simplify91.0ms (2.3%)

prune103.0ms (2.6%)

regimes273.0ms (7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.0s (26.3%)

Profiling