Details

analyze456.0ms (11.8%)

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 (0.6%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	81×	body	128	invalid

Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify309.0ms (8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (143.0ms)

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))

rewrite21.0ms (0.5%)

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:

18.0ms

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

series86.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

86.0ms

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

simplify49.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5064	513

prune25.0ms (0.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	32	2	34

Merged error: 0.0b

Counts

34 → 2

Compiler

Compiled 478 to 209 computations (56.3% saved)

localize10.0ms (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)))

rewrite25.0ms (0.7%)

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:

14.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
7.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

series130.0ms (3.4%)

Counts

2 → 6

Calls

2 calls:

74.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
56.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4920	903
1	4920	903

prune46.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	56	2	58

Merged error: 0.0b

Counts

58 → 2

Compiler

Compiled 989 to 532 computations (46.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))
0.4b	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))

rewrite112.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

831×	`times-frac_binary64_1107`
589×	`*-un-lft-identity_binary64_1101`
445×	`add-sqr-sqrt_binary64_1123`
349×	`add-cube-cbrt_binary64_1136`
96×	`distribute-lft-out--_binary64_1053`
93×	`associate-/r*_binary64_1045`
48×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052`
28×	`add-exp-log_binary64_1139`
22×	`div-inv_binary64_1098`
18×	`div-exp_binary64_1152`
16×	`add-cbrt-cube_binary64_1137`
9×	`cbrt-undiv_binary64_1135`
6×	`associate-/l*_binary64_1046` `associate-/r/_binary64_1047`
3×	`1-exp_binary64_1145` `pow1_binary64_1162` `rec-exp_binary64_1151`
2×	`add-log-exp_binary64_1140` `frac-2neg_binary64_1112` `clear-num_binary64_1100`
1×	`inv-pow_binary64_1186` `pow-flip_binary64_1175`

Counts

2 → 418

Calls

2 calls:

26.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))
12.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))

series214.0ms (5.6%)

Counts

2 → 6

Calls

2 calls:

119.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))
95.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))

simplify149.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

424 → 424

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5016	12305

prune431.0ms (11.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	423	1	424
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	423	3	426

Merged error: 0b

Counts

426 → 3

Compiler

Compiled 9543 to 4205 computations (55.9% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (-.f64 (+.f64 x y) z))
0.3b	(*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z)))
0.4b	(/.f64 1 (*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z))))

rewrite52.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`*-un-lft-identity_binary64_1101`
46×	`add-sqr-sqrt_binary64_1123`
40×	`times-frac_binary64_1107`
31×	`add-exp-log_binary64_1139`
27×	`add-cube-cbrt_binary64_1136`
24×	`associate-r_binary64_1041`
19×	`add-cbrt-cube_binary64_1137`
14×	`distribute-lft-out--_binary64_1053`
11×	`div-exp_binary64_1152`
8×	`prod-exp_binary64_1150` `pow1_binary64_1162`
7×	`difference-of-squares_binary64_1070` `distribute-lft-out_binary64_1052` `associate-/r*_binary64_1045`
6×	`associate-/l*_binary64_1046` `cbrt-undiv_binary64_1135`
5×	`associate-/r/_binary64_1047`
4×	`cbrt-unprod_binary64_1134`
3×	`1-exp_binary64_1145` `add-log-exp_binary64_1140` `div-inv_binary64_1098` `rec-exp_binary64_1151` `associate-l_binary64_1042`
2×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `associate-*r/_binary64_1043` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `pow-flip_binary64_1175`
1×	`inv-pow_binary64_1186` `*-commutative_binary64_1032`

Counts

3 → 117

Calls

3 calls:

15.0ms	(*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z)))
13.0ms	(/.f64 1 (*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z))))
9.0ms	(/.f64 2 (-.f64 (+.f64 x y) z))

series314.0ms (8.2%)

Counts

3 → 9

Calls

3 calls:

114.0ms	(*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z)))
107.0ms	(/.f64 2 (-.f64 (+.f64 x y) z))
93.0ms	(/.f64 1 (*.f64 t (/.f64 2 (-.f64 (+.f64 x y) z))))

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	6638	1863

prune95.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	126	3	129

Merged error: 0b

Counts

129 → 3

Compiler

Compiled 2027 to 946 computations (53.3% saved)

regimes197.0ms (5.1%)

Compiler: Compiled 1669 to 1355 computations (18.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

end0.0ms (0%)

sample937.0ms (24.3%)

Algorithm

1×

intervals

Results

246.0ms	8000×	body	128	valid
90.0ms	2747×	body	128	invalid

Compiler

Compiled 198 to 162 computations (18.2% saved)

Details

analyze456.0ms (11.8%)

sample23.0ms (0.6%)

simplify309.0ms (8%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite21.0ms (0.5%)

series86.0ms (2.2%)

simplify49.0ms (1.3%)

prune25.0ms (0.7%)

localize10.0ms (0.3%)

rewrite25.0ms (0.7%)

series130.0ms (3.4%)

simplify69.0ms (1.8%)

prune46.0ms (1.2%)

localize8.0ms (0.2%)

rewrite112.0ms (2.9%)

series214.0ms (5.6%)

simplify149.0ms (3.9%)

prune431.0ms (11.2%)

localize8.0ms (0.2%)

rewrite52.0ms (1.4%)

series314.0ms (8.2%)

simplify71.0ms (1.8%)

prune95.0ms (2.5%)

regimes197.0ms (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample937.0ms (24.3%)

Profiling