Details

analyze299.0ms (7.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	23×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify124.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	569	10
1	569	10

prune2.0ms (0%)

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 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`associate-r_binary64_1041` `cancel-sign-sub-inv_binary64_1067`
5×	`add-cube-cbrt_binary64_1136`
4×	`frac-times_binary64_1111` `distribute-lft-in_binary64_1050` `associate-l_binary64_1042` `distribute-rgt-in_binary64_1051`
3×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `add-cbrt-cube_binary64_1137` `flip-+_binary64_1075`
2×	`difference-of-squares_binary64_1070` `sub-neg_binary64_1094` `associate-r/_binary64_1043` `associate-l/_binary64_1044`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `add-log-exp_binary64_1140` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `distribute-lft-out--_binary64_1053` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069`

Counts

1 → 38

Calls

2 calls:

10.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
0.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))

series122.0ms (3%)

Counts

1 → 18

Calls

1 calls:

122.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 245 to 198 computations (19.2% saved)

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4978	732
1	4978	732

prune45.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	54	3	57

Error

Counts

57 → 3

Compiler

Compiled 655 to 289 computations (55.9% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (neg.f64 z))
0.0b	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
0.0b	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
0.0b	(*.f64 (+.f64 x y) (neg.f64 z))

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`associate-r_binary64_1041`
8×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
7×	`add-log-exp_binary64_1140`
6×	`flip3-+_binary64_1104` `add-cube-cbrt_binary64_1136` `flip-+_binary64_1075` `associate-*l/_binary64_1044`
4×	`add-exp-log_binary64_1139` `pow1_binary64_1162` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042` `frac-add_binary64_1109`
3×	`distribute-rgt-neg-in_binary64_1059` `sum-log_binary64_1192` `distribute-lft-neg-in_binary64_1058`
2×	`distribute-rgt-neg-out_binary64_1061`
1×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `neg-mul-1_binary64_1097` `prod-exp_binary64_1150` `distribute-lft-out_binary64_1052` `unsub-neg_binary64_1095` `+-commutative_binary64_1031` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `associate-+l+_binary64_1034`

Counts

2 → 47

Calls

4 calls:

8.0ms	(*.f64 (+.f64 x y) (neg.f64 z))
7.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
0.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
0.0ms	(*.f64 (+.f64 x y) (neg.f64 z))

series263.0ms (6.5%)

Counts

2 → 33

Calls

2 calls:

142.0ms	(+.f64 (+.f64 x y) (*.f64 (+.f64 x y) (neg.f64 z)))
121.0ms	(*.f64 (+.f64 x y) (neg.f64 z))

Compiler

Compiled 513 to 404 computations (21.2% saved)

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5080	1009

prune51.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	80	3	83

Error

Counts

83 → 3

Compiler

Compiled 1027 to 273 computations (73.4% saved)

localize8.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.0b	(sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))
0.0b	(sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))
0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
0.0b	(*.f64 (+.f64 x y) (-.f64 1 z))
0.0b	(sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))
0.0b	(sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))
0.3b	(.f64 (sqrt.f64 (.f64 (+.f64 x y) (-.f64 1 z))) (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z))))

rewrite82.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

160×	`sqrt-div_binary64_1118`
148×	`frac-times_binary64_1111`
63×	`flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `flip-+_binary64_1075`
61×	`pow1_binary64_1162`
50×	`associate-r/_binary64_1043` `associate-l/_binary64_1044`
32×	`sqrt-pow1_binary64_1119`
23×	`pow-prod-down_binary64_1172`
19×	`add-sqr-sqrt_binary64_1123`
17×	`*-un-lft-identity_binary64_1101`
12×	`add-cube-cbrt_binary64_1136` `pow1/2_binary64_1181`
10×	`pow-prod-up_binary64_1171` `associate-r_binary64_1041`
8×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
6×	`sqrt-prod_binary64_1117` `pow-sqr_binary64_1074` `cancel-sign-sub-inv_binary64_1067`
4×	`add-log-exp_binary64_1140` `distribute-lft-in_binary64_1050` `swap-sqr_binary64_1068` `distribute-rgt-in_binary64_1051`
2×	`*-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `difference-of-squares_binary64_1070` `prod-exp_binary64_1150` `sub-neg_binary64_1094` `unswap-sqr_binary64_1069`
1×	`pow-plus_binary64_1164` `distribute-lft-out_binary64_1052` `rem-square-sqrt_binary64_1113` `distribute-lft-out--_binary64_1053` `sqrt-unprod_binary64_1121` `pow2_binary64_1182`

Counts

4 → 205

Calls

8 calls:

26.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) (-.f64 1 z))) (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z))))
10.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))
7.0ms	(sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))
7.0ms	(sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))
0.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))

series509.0ms (12.5%)

Counts

4 → 66

Calls

4 calls:

129.0ms	(sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))
129.0ms	(.f64 (sqrt.f64 (.f64 (+.f64 x y) (-.f64 1 z))) (sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z))))
126.0ms	(sqrt.f64 (*.f64 (+.f64 x y) (-.f64 1 z)))
125.0ms	(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 2344 to 1720 computations (26.6% saved)

simplify96.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

271 → 271

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4980	7438
1	4980	7438

prune334.0ms (8.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	271	0	271
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	271	3	274

Error

Counts

274 → 3

Compiler

Compiled 6935 to 3404 computations (50.9% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	135	173
1	135	173

regimes112.0ms (2.7%)

Compiler: Compiled 578 to 576 computations (0.3% saved)

bsearch0.0ms (0%)

regimes249.0ms (6.1%)

Compiler: Compiled 223 to 318 computations (-42.6% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

regimes247.0ms (6.1%)

Compiler: Compiled 188 to 288 computations (-53.2% saved)

bsearch27.0ms (0.7%)

Steps

Iters	Range		Point
8	0.01370526432397266	42.16250606631296	1.010202234378162
8	-685.8931727193782	-0.7427544069914732	-1.0051600050036185

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes221.0ms (5.5%)

Compiler: Compiled 152 to 252 computations (-65.8% saved)

bsearch91.0ms (2.2%)

Steps

Iters	Range		Point
10	9.793468809542491e+154	5.350138197406245e+165	2.0121161751732072e+163
11	3.261881813318533e-28	9.416312076425774e-09	4.611603194602757e-09
9	-1.2690345643245402e-08	-1.88672645085282e-13	-7.223983222270586e-10
10	-3.7718493733858573e+71	-1.7442446253001062e+61	-2.4244414343283377e+68
8	-1.980597657019796e+132	-6.770150352934166e+128	-7.849087527667034e+130

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes126.0ms (3.1%)

Compiler: Compiled 68 to 134 computations (-97.1% saved)

bsearch32.0ms (0.8%)

Steps

Iters	Range		Point
11	3.261881813318533e-28	9.416312076425774e-09	6.493125972238224e-09
9	-1.2690345643245402e-08	-1.88672645085282e-13	-5.809701750466752e-09

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes38.0ms (0.9%)

Compiler: Compiled 36 to 90 computations (-150% saved)

bsearch0.0ms (0%)

regimes26.0ms (0.6%)

Accuracy

Total 0.0b remaining (68.6%)

Threshold costs 0.0b (68.6%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch6.0ms (0.1%)

Compiler: Compiled 134 to 84 computations (37.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	129	175
1	129	175

end0.0ms (0%)

sample746.0ms (18.4%)

Algorithm

1×

intervals

Results

197.0ms	7999×	body	128	valid
19.0ms	645×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 240 to 206 computations (14.2% saved)

Pareto

0.7046538815978641

Details

analyze299.0ms (7.4%)

sample15.0ms (0.4%)

simplify124.0ms (3.1%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite14.0ms (0.3%)

series122.0ms (3%)

simplify61.0ms (1.5%)

prune45.0ms (1.1%)

localize6.0ms (0.1%)

rewrite19.0ms (0.5%)

series263.0ms (6.5%)

simplify71.0ms (1.7%)

prune51.0ms (1.3%)

localize8.0ms (0.2%)

rewrite82.0ms (2%)

series509.0ms (12.5%)

simplify96.0ms (2.4%)

prune334.0ms (8.2%)

simplify6.0ms (0.2%)

regimes112.0ms (2.7%)

bsearch0.0ms (0%)

regimes249.0ms (6.1%)

bsearch1.0ms (0%)

regimes247.0ms (6.1%)

bsearch27.0ms (0.7%)

regimes221.0ms (5.5%)

bsearch91.0ms (2.2%)

regimes126.0ms (3.1%)

bsearch32.0ms (0.8%)

regimes38.0ms (0.9%)

bsearch0.0ms (0%)

regimes26.0ms (0.6%)

bsearch6.0ms (0.1%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample746.0ms (18.4%)

Profiling