Details

analyze452.0ms (16.1%)

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
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample22.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	99×	body	128	invalid

Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify231.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

Iter	Nodes	Cost
0	1744	13
1	1744	13

prune6.0ms (0.2%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite11.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_1101`
7×	`add-sqr-sqrt_binary64_1123`
6×	`add-exp-log_binary64_1139` `associate-/l*_binary64_1046` `times-frac_binary64_1107` `add-cbrt-cube_binary64_1137`
4×	`distribute-lft-out--_binary64_1053`
3×	`add-cube-cbrt_binary64_1136`
2×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052` `associate-/l/_binary64_1048` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `pow1_binary64_1162` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `div-inv_binary64_1098` `associate-/r*_binary64_1045` `div-sub_binary64_1106`

Counts

1 → 30

Calls

1 calls:

9.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

series39.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

39.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify51.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5087	513

prune29.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Error

Counts

34 → 4

Compiler

Compiled 497 to 222 computations (55.3% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) (*.f64 t 2))
0.0b	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_1101`
11×	`times-frac_binary64_1107`
8×	`add-sqr-sqrt_binary64_1123`
7×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `cancel-sign-sub-inv_binary64_1067`
6×	`add-cube-cbrt_binary64_1136`
4×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-/l*_binary64_1046`
3×	`distribute-lft-out_binary64_1052` `distribute-lft-out--_binary64_1053`
2×	`pow1_binary64_1162` `associate-/l/_binary64_1048` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`diff-log_binary64_1193` `sub-div_binary64_1108` `cbrt-unprod_binary64_1134` `difference-of-squares_binary64_1070` `prod-exp_binary64_1150` `distribute-rgt-out--_binary64_1055` `frac-2neg_binary64_1112` `sub-neg_binary64_1094` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `frac-sub_binary64_1110` `flip-+_binary64_1075` `associate-/r*_binary64_1045`

Counts

2 → 50

Calls

2 calls:

12.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
6.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

series67.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

37.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
30.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

simplify67.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4937	903
1	4937	903

prune45.0ms (1.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	56	4	60

Error

Counts

60 → 4

Compiler

Compiled 1008 to 545 computations (45.9% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1123`
14×	`*-un-lft-identity_binary64_1101`
13×	`associate-r_binary64_1041`
10×	`times-frac_binary64_1107`
9×	`add-cube-cbrt_binary64_1136`
6×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
3×	`pow1_binary64_1162`
2×	`cbrt-unprod_binary64_1134` `frac-times_binary64_1111` `prod-exp_binary64_1150` `distribute-lft-out--_binary64_1053` `flip--_binary64_1076` `flip3--_binary64_1105` `unswap-sqr_binary64_1069` `associate-*l/_binary64_1044`
1×	`-commutative_binary64_1032` `difference-of-squares_binary64_1070` `add-log-exp_binary64_1140` `distribute-lft-out_binary64_1052` `associate-r/_binary64_1043` `div-inv_binary64_1098` `pow-prod-down_binary64_1172` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`

Counts

1 → 39

Calls

1 calls:

14.0ms

(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

series38.0ms (1.4%)

Counts

1 → 3

Calls

1 calls:

38.0ms

(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5236	697

prune31.0ms (1.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	42	4	46

Error

Counts

46 → 4

Compiler

Compiled 659 to 290 computations (56% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
0.3b	(.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t 2))) (sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))))
1.5b	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
1.5b	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))

rewrite62.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64_1101`
78×	`sqrt-prod_binary64_1117`
54×	`add-sqr-sqrt_binary64_1123` `times-frac_binary64_1107`
24×	`distribute-lft-out--_binary64_1053`
22×	`add-cube-cbrt_binary64_1136`
21×	`pow1_binary64_1162` `swap-sqr_binary64_1068`
13×	`associate-r_binary64_1041` `associate-l_binary64_1042`
12×	`distribute-lft-out_binary64_1052`
11×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
10×	`sqrt-pow1_binary64_1119` `pow1/2_binary64_1181`
8×	`difference-of-squares_binary64_1070`
7×	`div-inv_binary64_1098`
6×	`associate-/l*_binary64_1046` `sqrt-div_binary64_1118`
5×	`pow-prod-up_binary64_1171`
4×	`rem-sqrt-square_binary64_1114` `add-log-exp_binary64_1140` `unswap-sqr_binary64_1069`
3×	`pow-sqr_binary64_1074` `pow-prod-down_binary64_1172`
2×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `associate-/l/_binary64_1048` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`pow-plus_binary64_1164` `-commutative_binary64_1032` `frac-times_binary64_1111` `frac-2neg_binary64_1112` `rem-square-sqrt_binary64_1113` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-r/_binary64_1043` `sqr-abs_binary64_1116` `associate-l/_binary64_1044` `sqrt-unprod_binary64_1121` `pow2_binary64_1182` `associate-/r_binary64_1045` `div-sub_binary64_1106`

Counts

4 → 152

Calls

4 calls:

23.0ms	(.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t 2))) (sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))))
9.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
8.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
7.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))

series347.0ms (12.4%)

Counts

4 → 12

Calls

4 calls:

131.0ms	(.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t 2))) (sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))))
95.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
85.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
36.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify89.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4982	2993
1	4982	2993

prune144.0ms (5.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	164	4	168

Error

Counts

168 → 4

Compiler

Compiled 3682 to 1621 computations (56% saved)

regimes150.0ms (5.4%)

Accuracy

Total 0.1b remaining (91.6%)

Threshold costs 0.1b (91.6%)

Compiler

Compiled 1128 to 1036 computations (8.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample796.0ms (28.5%)

Algorithm

1×

intervals

Results

261.0ms	8000×	body	128	valid
84.0ms	2726×	body	128	invalid

Compiler

Compiled 154 to 142 computations (7.8% saved)

Details

analyze452.0ms (16.1%)

sample22.0ms (0.8%)

simplify231.0ms (8.2%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite11.0ms (0.4%)

series39.0ms (1.4%)

simplify51.0ms (1.8%)

prune29.0ms (1%)

localize8.0ms (0.3%)

rewrite22.0ms (0.8%)

series67.0ms (2.4%)

simplify67.0ms (2.4%)

prune45.0ms (1.6%)

localize6.0ms (0.2%)

rewrite17.0ms (0.6%)

series38.0ms (1.4%)

simplify48.0ms (1.7%)

prune31.0ms (1.1%)

localize13.0ms (0.4%)

rewrite62.0ms (2.2%)

series347.0ms (12.4%)

simplify89.0ms (3.2%)

prune144.0ms (5.1%)

regimes150.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample796.0ms (28.5%)

Profiling