Details

analyze462.0ms (15%)

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)

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	90×	body	128	invalid

Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify308.0ms (10%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	1715	13
1	1715	13

prune2.0ms (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: 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))

rewrite14.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_1111`
7×	`add-sqr-sqrt_binary64_1133`
6×	`add-cbrt-cube_binary64_1147` `times-frac_binary64_1117` `associate-/l*_binary64_1056` `add-exp-log_binary64_1149`
4×	`distribute-lft-out--_binary64_1063`
3×	`add-cube-cbrt_binary64_1146`
2×	`associate-/l/_binary64_1058` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `difference-of-squares_binary64_1080` `distribute-lft-out_binary64_1062`
1×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `div-inv_binary64_1108` `associate-/r*_binary64_1055` `frac-2neg_binary64_1122` `flip3--_binary64_1115` `add-log-exp_binary64_1150` `pow1_binary64_1172` `clear-num_binary64_1110` `div-sub_binary64_1116` `flip--_binary64_1086`

Counts

1 → 30

Calls

1 calls:

11.0ms

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

series81.0ms (2.6%)

Counts

1 → 3

Calls

1 calls:

81.0ms

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

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5064	513

prune36.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0b

Counts

34 → 3

Compiler

Compiled 683 to 362 computations (47% 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)))

rewrite28.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`*-un-lft-identity_binary64_1111`
11×	`times-frac_binary64_1117`
8×	`add-sqr-sqrt_binary64_1133`
7×	`add-cbrt-cube_binary64_1147` `cancel-sign-sub-inv_binary64_1077` `add-exp-log_binary64_1149`
6×	`add-cube-cbrt_binary64_1146`
4×	`div-inv_binary64_1108` `associate-/l*_binary64_1056` `add-log-exp_binary64_1150`
3×	`distribute-lft-out_binary64_1062` `distribute-lft-out--_binary64_1063`
2×	`associate-/l/_binary64_1058` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `pow1_binary64_1172`
1×	`frac-sub_binary64_1120` `prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `flip-+_binary64_1085` `associate-/r*_binary64_1055` `distribute-rgt-out--_binary64_1065` `sub-div_binary64_1118` `frac-2neg_binary64_1122` `flip3--_binary64_1115` `diff-log_binary64_1203` `flip3-+_binary64_1114` `difference-of-squares_binary64_1080` `sub-neg_binary64_1104` `clear-num_binary64_1110` `flip--_binary64_1086`

Counts

2 → 50

Calls

2 calls:

14.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
9.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

series135.0ms (4.4%)

Counts

2 → 6

Calls

2 calls:

73.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
62.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

simplify65.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4920	903
1	4920	903

prune46.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	56	3	59

Merged error: 0b

Counts

59 → 3

Compiler

Compiled 999 to 536 computations (46.3% saved)

localize10.0ms (0.3%)

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))))
1.0b	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
1.0b	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))

rewrite73.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`*-un-lft-identity_binary64_1111`
78×	`sqrt-prod_binary64_1127`
54×	`times-frac_binary64_1117` `add-sqr-sqrt_binary64_1133`
24×	`distribute-lft-out--_binary64_1063`
22×	`add-cube-cbrt_binary64_1146`
21×	`swap-sqr_binary64_1078` `pow1_binary64_1172`
13×	`associate-r_binary64_1051` `associate-l_binary64_1052`
12×	`distribute-lft-out_binary64_1062`
11×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
10×	`pow1/2_binary64_1191` `sqrt-pow1_binary64_1129`
8×	`difference-of-squares_binary64_1080`
7×	`div-inv_binary64_1108`
6×	`sqrt-div_binary64_1128` `associate-/l*_binary64_1056`
5×	`pow-prod-up_binary64_1181`
4×	`rem-sqrt-square_binary64_1124` `unswap-sqr_binary64_1079` `add-log-exp_binary64_1150`
3×	`pow-sqr_binary64_1084` `pow-prod-down_binary64_1182`
2×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `associate-/l/_binary64_1058` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145`
1×	`-commutative_binary64_1042` `associate-l/_binary64_1054` `frac-times_binary64_1121` `rem-square-sqrt_binary64_1123` `associate-/r_binary64_1055` `frac-2neg_binary64_1122` `flip3--_binary64_1115` `pow-plus_binary64_1174` `pow2_binary64_1192` `sqrt-unprod_binary64_1131` `sqr-abs_binary64_1126` `clear-num_binary64_1110` `div-sub_binary64_1116` `flip--_binary64_1086` `associate-r/_binary64_1053`

Counts

4 → 152

Calls

4 calls:

28.0ms	(.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t 2))) (sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))))
10.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))
8.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
8.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))

series671.0ms (21.8%)

Counts

4 → 12

Calls

4 calls:

242.0ms	(.f64 (sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (.f64 t 2))) (sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))))
183.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
174.0ms	(sqrt.f64 (/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2)))
72.0ms	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4979	2894
1	4979	2894

prune148.0ms (4.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	164	3	167

Merged error: 0b

Counts

167 → 3

Compiler

Compiled 3674 to 1647 computations (55.2% saved)

regimes84.0ms (2.7%)

Compiler: Compiled 392 to 372 computations (5.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample725.0ms (23.5%)

Algorithm

1×

intervals

Results

268.0ms	8000×	body	128	valid
94.0ms	2745×	body	128	invalid

Compiler

Compiled 62 to 59 computations (4.8% saved)

Details

analyze462.0ms (15%)

sample23.0ms (0.7%)

simplify308.0ms (10%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite14.0ms (0.4%)

series81.0ms (2.6%)

simplify51.0ms (1.7%)

prune36.0ms (1.2%)

localize8.0ms (0.3%)

rewrite28.0ms (0.9%)

series135.0ms (4.4%)

simplify65.0ms (2.1%)

prune46.0ms (1.5%)

localize10.0ms (0.3%)

rewrite73.0ms (2.4%)

series671.0ms (21.8%)

simplify98.0ms (3.2%)

prune148.0ms (4.8%)

regimes84.0ms (2.7%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample725.0ms (23.5%)

Profiling