Details

analyze488.0ms (2.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4999	132
1	4999	132
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
49.9%	49.9%	0.1%	3
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
87.4%	12.5%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
93.6%	6.2%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 24 to 21 computations (12.5% saved)

sample88.0ms (0.5%)

Algorithm

1×

intervals

Results

23.0ms	35×	body	2048	valid
19.0ms	170×	body	128	valid
19.0ms	21×	body	4096	valid
8.0ms	16×	body	1024	valid
3.0ms	10×	body	512	valid
1.0ms	4×	body	256	valid

Compiler

Compiled 47 to 44 computations (6.4% saved)

simplify98.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4970	33
1	4970	33

prune10.0ms (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

Error

29.0b

Counts

2 → 2

Compiler

Compiled 65 to 54 computations (16.9% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (-.f64 A C) 2)
0.1b	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
1.0b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))
33.8b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite462.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

28.8b

Rules

65×	`*-un-lft-identity_binary64_2124`
42×	`add-sqr-sqrt_binary64_2146`
36×	`cancel-sign-sub-inv_binary64_2090`
26×	`sqrt-prod_binary64_2140`
24×	`add-cube-cbrt_binary64_2159`
21×	`unpow-prod-down_binary64_2203`
14×	`add-exp-log_binary64_2162` `sqrt-div_binary64_2141` `distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073`
13×	`associate-l_binary64_2065`
12×	`distribute-lft-out_binary64_2075` `frac-sub_binary64_2133` `associate--l+_binary64_2061`
11×	`distribute-lft-out--_binary64_2076` `times-frac_binary64_2130`
9×	`add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `flip--_binary64_2099`
8×	`pow1_binary64_2185`
7×	`flip3-+_binary64_2127` `flip-+_binary64_2098` `associate-r_binary64_2064`
6×	`sub-neg_binary64_2117` `frac-times_binary64_2134` `associate-*r/_binary64_2066`
5×	`difference-of-squares_binary64_2093`
4×	`prod-exp_binary64_2173`
3×	`diff-log_binary64_2216` `unswap-sqr_binary64_2092` `pow-unpow_binary64_2201`
2×	`div-exp_binary64_2175` `cbrt-unprod_binary64_2157`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `associate--l-_binary64_2062` `pow-prod-down_binary64_2195` `1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `associate-l/_binary64_2067` `div-inv_binary64_2121` `-commutative_binary64_2055` `pow-pow_binary64_2196` `pow-to-exp_binary64_2193` `pow-exp_binary64_2192` `unpow2_binary64_2189` `sqr-pow_binary64_2096`

Counts

4 → 151

Calls

4 calls:

33.0ms	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
22.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))
16.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
5.0ms	(pow.f64 (-.f64 A C) 2)

Compiler

Compiled 5910 to 3622 computations (38.7% saved)

series1.7s (9.3%)

Error

0.2b

Counts

4 → 104

Calls

4 calls:

474.0ms	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))))
463.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))
400.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
88.0ms	(pow.f64 (-.f64 A C) 2)

Compiler

Compiled 8542 to 6600 computations (22.7% saved)

simplify129.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

255 → 255

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4970	8041
1	4970	8041

prune746.0ms (4.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	247	8	255
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	248	9	257

Error

0.3b

Counts

257 → 9

Compiler

Compiled 8544 to 4394 computations (48.6% saved)

localize40.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
33.8b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
33.8b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
33.8b	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

rewrite368.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

17×	`add-sqr-sqrt_binary64_2146`
15×	`*-un-lft-identity_binary64_2124`
13×	`sqrt-prod_binary64_2140`
10×	`add-cube-cbrt_binary64_2159` `sqrt-div_binary64_2141`
9×	`add-log-exp_binary64_2163` `cancel-sign-sub-inv_binary64_2090`
7×	`pow1_binary64_2185`
5×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `frac-sub_binary64_2133` `associate--l+_binary64_2061`
3×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `diff-log_binary64_2216` `flip3--_binary64_2128` `flip--_binary64_2099` `distribute-lft-out--_binary64_2076`
2×	`sub-neg_binary64_2117` `difference-of-squares_binary64_2093`
1×	`associate--l-_binary64_2062`

Counts

4 → 76

Calls

4 calls:

19.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
16.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
16.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
14.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

Compiler

Compiled 5363 to 2610 computations (51.3% saved)

series1.8s (9.7%)

Error

0.3b

Counts

4 → 97

Calls

4 calls:

498.0ms	(-.f64 (-.f64 C A) (sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2))))
324.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
315.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))
299.0ms	(sqrt.f64 (+.f64 (*.f64 B B) (pow.f64 (-.f64 A C) 2)))

Compiler

Compiled 14786 to 9345 computations (36.8% saved)

simplify126.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4977	4222
1	4977	4222

prune572.0ms (3.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	173	0	173
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	173	9	182

Error

0.3b

Counts

182 → 9

Compiler

Compiled 10914 to 5282 computations (51.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B)))
0.0b	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B))) PI.f64))
0.0b	(/.f64 (atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B))) PI.f64)
0.2b	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B))

rewrite261.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

46×	`add-sqr-sqrt_binary64_2146`
38×	`*-un-lft-identity_binary64_2124`
32×	`add-cube-cbrt_binary64_2159`
30×	`times-frac_binary64_2130`
20×	`add-exp-log_binary64_2162`
19×	`associate-r_binary64_2064`
16×	`add-cbrt-cube_binary64_2160` `associate-l_binary64_2065`
12×	`cancel-sign-sub-inv_binary64_2090`
8×	`pow1_binary64_2185` `distribute-rgt-in_binary64_2074` `associate--l+_binary64_2061` `distribute-lft-in_binary64_2073`
6×	`prod-exp_binary64_2173`
5×	`unswap-sqr_binary64_2092`
4×	`div-exp_binary64_2175` `add-log-exp_binary64_2163` `cbrt-unprod_binary64_2157` `sub-neg_binary64_2117`
3×	`cbrt-undiv_binary64_2158` `associate-r/_binary64_2066` `div-inv_binary64_2121` `distribute-lft-out--_binary64_2076` `associate-/l_binary64_2069` `associate-/r*_binary64_2068`
2×	`pow-prod-down_binary64_2195` `flip3--_binary64_2128` `frac-times_binary64_2134` `flip--_binary64_2099` `*-commutative_binary64_2055`
1×	`1-exp_binary64_2168` `rec-exp_binary64_2174` `associate-*l/_binary64_2067` `difference-of-squares_binary64_2093` `frac-2neg_binary64_2135` `clear-num_binary64_2123`

Counts

4 → 124

Calls

4 calls:

17.0ms	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B))
17.0ms	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B))) PI.f64))
6.0ms	(atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B)))
6.0ms	(/.f64 (atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B))) PI.f64)

Compiler

Compiled 3054 to 1598 computations (47.7% saved)

series513.0ms (2.8%)

Error

0.3b

Counts

4 → 45

Calls

4 calls:

156.0ms	(*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B))
156.0ms	(.f64 180 (/.f64 (atan.f64 (.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B))) PI.f64))
124.0ms	(/.f64 (atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B))) PI.f64)
50.0ms	(atan.f64 (*.f64 (/.f64 1 B) (-.f64 (-.f64 C A) B)))

Compiler

Compiled 1528 to 1119 computations (26.8% saved)

simplify89.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4891	2867
1	4891	2867

prune207.0ms (1.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	167	2	169
Fresh	0	6	6
Picked	1	0	1
Done	0	2	2
Total	168	10	178

Error

0.3b

Counts

178 → 10

Compiler

Compiled 3066 to 1574 computations (48.7% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 C A) B)
0.0b	(/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64)
0.0b	(*.f64 180 (log.f64 (exp.f64 (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64))))
0.0b	(log.f64 (exp.f64 (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64)))

rewrite264.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

51×	`add-sqr-sqrt_binary64_2146`
49×	`*-un-lft-identity_binary64_2124`
42×	`times-frac_binary64_2130`
41×	`add-cube-cbrt_binary64_2159`
28×	`log-pow_binary64_2213`
26×	`exp-prod_binary64_2176`
17×	`associate-r_binary64_2064`
10×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
9×	`log-prod_binary64_2210`
8×	`pow1_binary64_2185` `associate-/l*_binary64_2069`
6×	`associate-/r*_binary64_2068`
4×	`div-inv_binary64_2121` `add-log-exp_binary64_2163` `difference-of-squares_binary64_2093` `distribute-lft-out--_binary64_2076`
3×	`distribute-rgt-in_binary64_2074` `distribute-lft-in_binary64_2073` `associate-l_binary64_2065`
2×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `associate-/l/_binary64_2071`
1×	`rem-log-exp_binary64_2165` `pow-prod-down_binary64_2195` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055` `div-sub_binary64_2129` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

4 → 128

Calls

4 calls:

28.0ms	(*.f64 180 (log.f64 (exp.f64 (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64))))
15.0ms	(log.f64 (exp.f64 (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64)))
13.0ms	(/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64)
7.0ms	(/.f64 (-.f64 C A) B)

Compiler

Compiled 3167 to 1785 computations (43.6% saved)

series1.5s (8%)

Error

0.3b

Counts

4 → 42

Calls

4 calls:

549.0ms	(*.f64 180 (log.f64 (exp.f64 (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64))))
542.0ms	(log.f64 (exp.f64 (/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64)))
174.0ms	(/.f64 (-.f64 C A) B)
151.0ms	(/.f64 (atan.f64 (-.f64 (/.f64 (-.f64 C A) B) 1)) PI.f64)

Compiler

Compiled 1872 to 1544 computations (17.5% saved)

simplify175.0ms (1%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4963	3211
1	4963	3211

prune222.0ms (1.2%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	170	10	180

Error

0.3b

Counts

180 → 10

Compiler

Compiled 3407 to 1877 computations (44.9% saved)

regimes2.4s (12.9%)

Accuracy

Total 16.6b remaining (96.7%)

Threshold costs 0b (0%)

Compiler

Compiled 16907 to 13734 computations (18.8% saved)

bsearch10.0ms (0.1%)

Compiler: Compiled 18 to 15 computations (16.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	171	124
1	171	124

end0.0ms (0%)

sample6.1s (33.1%)

Algorithm

1×

intervals

Results

848.0ms	849×	body	4096	valid
659.0ms	5436×	body	128	valid
629.0ms	872×	body	2048	valid
244.0ms	464×	body	1024	valid
107.0ms	267×	body	512	valid
28.0ms	112×	body	256	valid

Compiler

Compiled 2445 to 1971 computations (19.4% saved)

Details

analyze488.0ms (2.7%)

sample88.0ms (0.5%)

simplify98.0ms (0.5%)

prune10.0ms (0.1%)

localize36.0ms (0.2%)

rewrite462.0ms (2.5%)

series1.7s (9.3%)

simplify129.0ms (0.7%)

prune746.0ms (4.1%)

localize40.0ms (0.2%)

rewrite368.0ms (2%)

series1.8s (9.7%)

simplify126.0ms (0.7%)

prune572.0ms (3.1%)

localize17.0ms (0.1%)

rewrite261.0ms (1.4%)

series513.0ms (2.8%)

simplify89.0ms (0.5%)

prune207.0ms (1.1%)

localize19.0ms (0.1%)

rewrite264.0ms (1.4%)

series1.5s (8%)

simplify175.0ms (1%)

prune222.0ms (1.2%)

regimes2.4s (12.9%)

bsearch10.0ms (0.1%)

simplify10.0ms (0.1%)

end0.0ms (0%)

sample6.1s (33.1%)

Profiling