Details

analyze4.6s (12.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4978	427
1	4978	427
0	4	4
1	4	4

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%	98.2%	1.8%	7
0%	92%	8%	8
0%	91.2%	8.8%	9
0.4%	89.3%	10.3%	10
7.1%	79.2%	13.6%	11
11.9%	70.2%	17.9%	12
13.8%	67.4%	18.7%	13
16.6%	63.3%	20.1%	14

Compiler

Compiled 41 to 33 computations (19.5% saved)

sample271.0ms (0.7%)

Algorithm

1×

intervals

Results

45.0ms	175×	body	128	valid
34.0ms	24×	body	2048	valid
31.0ms	18×	body	2048	nan
27.0ms	25×	body	1024	valid
23.0ms	90×	body	128	nan
22.0ms	21×	body	1024	nan
15.0ms	20×	body	512	nan
13.0ms	17×	body	512	valid
7.0ms	15×	body	256	valid
5.0ms	9×	body	256	nan

Compiler

Compiled 81 to 69 computations (14.8% saved)

simplify99.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5390	61

prune8.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

51.7b

Counts

2 → 1

Compiler

Compiled 80 to 59 computations (26.3% saved)

localize48.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.9b	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)
12.0b	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
22.1b	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
36.1b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite195.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`sqrt-div_binary64_2141`
40×	`associate-*r/_binary64_2066`
39×	`*-un-lft-identity_binary64_2124`
36×	`times-frac_binary64_2130`
35×	`add-sqr-sqrt_binary64_2146`
34×	`associate-*l/_binary64_2067`
32×	`add-cube-cbrt_binary64_2159`
25×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
24×	`frac-sub_binary64_2133` `frac-times_binary64_2134`
22×	`flip--_binary64_2099` `flip3--_binary64_2128`
20×	`distribute-neg-frac_binary64_2088` `associate-/l/_binary64_2071`
17×	`pow1_binary64_2185`
16×	`distribute-lft-neg-in_binary64_2081` `distribute-rgt-neg-in_binary64_2082`
15×	`sqrt-prod_binary64_2140`
12×	`associate-/l*_binary64_2069`
8×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
7×	`pow-prod-down_binary64_2195`
5×	`sqrt-pow1_binary64_2142`
4×	`unpow-prod-down_binary64_2203` `add-log-exp_binary64_2163` `neg-mul-1_binary64_2120`
3×	`distribute-lft-out_binary64_2075` `associate-/r_binary64_2068` `associate-l_binary64_2065` `associate-r*_binary64_2064`
2×	`associate-/r/_binary64_2070` `pow1/2_binary64_2204`
1×	`clear-num_binary64_2123` `cbrt-undiv_binary64_2158` `unswap-sqr_binary64_2092` `distribute-lft-out--_binary64_2076` `*-commutative_binary64_2055` `rem-sqrt-square_binary64_2137` `prod-exp_binary64_2173` `div-sub_binary64_2129` `distribute-frac-neg_binary64_2087` `div-inv_binary64_2121` `div-exp_binary64_2175` `neg-sub0_binary64_2119` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135`

Counts

4 → 158

Calls

4 calls:

54.0ms	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
32.0ms	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
22.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
15.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

series5.8s (15.7%)

Counts

4 → 73

Calls

4 calls:

2.6s	(sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))
2.1s	(/.f64 (neg.f64 (sqrt.f64 (.f64 (.f64 2 (.f64 (-.f64 (pow.f64 B 2) (.f64 (.f64 4 A) C)) F)) (-.f64 (+.f64 A C) (sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2))))))) (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)))
555.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)
484.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

Compiler

Compiled 10185 to 7836 computations (23.1% saved)

simplify295.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

231 → 231

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4970	13639
1	4970	13639

prune1.7s (4.6%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	205	26	231
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	206	26	232

Error

27.8b

Counts

232 → 26

Compiler

Compiled 15418 to 8586 computations (44.3% saved)

localize16.0ms (0%)

Local error

Found 2 expressions with local error:

0.4b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F C))))
13.5b	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

rewrite30.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`pow1_binary64_2185`
9×	`add-sqr-sqrt_binary64_2146`
6×	`pow-prod-down_binary64_2195` `sqrt-pow1_binary64_2142` `sqrt-prod_binary64_2140` `associate-l_binary64_2065`
5×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
4×	`associate-r_binary64_2064` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`pow1/2_binary64_2204` `associate-*r/_binary64_2066`
2×	`unswap-sqr_binary64_2092` `sqrt-div_binary64_2141` `add-log-exp_binary64_2163`
1×	`sqrt-unprod_binary64_2144` `*-commutative_binary64_2055` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`

Counts

2 → 40

Calls

2 calls:

18.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F C))))
8.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

series199.0ms (0.5%)

Counts

2 → 12

Calls

2 calls:

124.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F C))))
75.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F C)))

Compiler

Compiled 382 to 406 computations (-6.3% saved)

simplify207.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (184.0ms)

Iter	Nodes	Cost
0	4850	676
1	4850	676

prune210.0ms (0.6%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	42	10	52
Fresh	4	21	25
Picked	1	0	1
Done	0	0	0
Total	47	31	78

Error

23.6b

Counts

78 → 31

Compiler

Compiled 1905 to 1339 computations (29.7% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.3b	(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))
0.3b	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)))

rewrite59.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-sqr-sqrt_binary64_2146` `times-frac_binary64_2130`
48×	`sqrt-prod_binary64_2140`
36×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
28×	`associate-r_binary64_2064`
9×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
6×	`unswap-sqr_binary64_2092` `associate-/r_binary64_2068` `associate-l*_binary64_2065`
4×	`associate-/l*_binary64_2069` `pow1_binary64_2185`
2×	`cbrt-undiv_binary64_2158` `sqrt-undiv_binary64_2145` `add-log-exp_binary64_2163` `prod-exp_binary64_2173` `div-inv_binary64_2121` `div-exp_binary64_2175` `cbrt-unprod_binary64_2157`
1×	`pow-prod-down_binary64_2195` `clear-num_binary64_2123` `sqrt-unprod_binary64_2144` `-commutative_binary64_2055` `associate-r/_binary64_2066` `frac-2neg_binary64_2135`

Counts

2 → 102

Calls

2 calls:

30.0ms	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)))
12.0ms	(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))

series236.0ms (0.6%)

Counts

2 → 12

Calls

2 calls:

133.0ms	(.f64 (sqrt.f64 2) (/.f64 (sqrt.f64 (.f64 -1/2 F)) (sqrt.f64 C)))
103.0ms	(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))

Compiler

Compiled 414 to 442 computations (-6.8% saved)

simplify168.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	5140	2172

prune365.0ms (1%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	107	7	114
Fresh	6	24	30
Picked	1	0	1
Done	0	0	0
Total	114	31	145

Error

23.5b

Counts

145 → 31

Compiler

Compiled 3260 to 2275 computations (30.2% saved)

localize22.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.2b

(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))))

0.3b

(*.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2)))

0.3b

(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))

rewrite104.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`sqrt-prod_binary64_2140`
65×	`add-sqr-sqrt_binary64_2146`
54×	`times-frac_binary64_2130`
41×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
37×	`associate-l_binary64_2065`
19×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
10×	`pow1_binary64_2185` `associate-r_binary64_2064`
9×	`unswap-sqr_binary64_2092`
7×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157`
6×	`associate-/r*_binary64_2068`
4×	`pow-prod-down_binary64_2195` `associate-/l*_binary64_2069`
3×	`sqrt-unprod_binary64_2144` `cbrt-undiv_binary64_2158` `sqrt-undiv_binary64_2145` `add-log-exp_binary64_2163` `div-exp_binary64_2175`
2×	`-commutative_binary64_2055` `associate-l/_binary64_2067` `div-inv_binary64_2121`
1×	`clear-num_binary64_2123` `associate-*r/_binary64_2066` `frac-2neg_binary64_2135`

Counts

3 → 136

Calls

3 calls:

35.0ms

(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))))

30.0ms

(*.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2)))

12.0ms

(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))

series376.0ms (1%)

Counts

3 → 18

Calls

3 calls:

144.0ms

(*.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2)))

134.0ms

(*.f64 (sqrt.f64 (sqrt.f64 2)) (*.f64 (/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C)) (sqrt.f64 (sqrt.f64 2))))

97.0ms

(/.f64 (sqrt.f64 (*.f64 -1/2 F)) (sqrt.f64 C))

Compiler

Compiled 735 to 777 computations (-5.7% saved)

simplify214.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (142.0ms)

Iter	Nodes	Cost
0	5063	3107

prune413.0ms (1.1%)

Pruning

34 alts after pruning (33 fresh and 1 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	4	26	30
Picked	0	1	1
Done	0	0	0
Total	151	34	185

Error

23.5b

Counts

185 → 34

Compiler

Compiled 3337 to 2576 computations (22.8% saved)

regimes6.0s (16.3%)

Accuracy

Total 3.7b remaining (12%)

Threshold costs 0b (0%)

Compiler

Compiled 27547 to 20966 computations (23.9% saved)

bsearch21.0ms (0.1%)

Compiler: Compiled 40 to 32 computations (20% saved)

simplify121.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	740	442
1	740	442

Compiler

Compiled 568 to 406 computations (28.5% saved)

end0.0ms (0%)

sample15.1s (41%)

Algorithm

1×

intervals

Results

1.4s	5529×	body	128	valid
945.0ms	885×	body	1024	valid
868.0ms	832×	body	1024	nan
866.0ms	614×	body	2048	valid
781.0ms	592×	body	2048	nan
633.0ms	2469×	body	128	nan
490.0ms	613×	body	512	valid
464.0ms	583×	body	512	nan
181.0ms	357×	body	256	valid
171.0ms	314×	body	256	nan
3.0ms	2×	body	4096	valid

Compiler

Compiled 4664 to 3492 computations (25.1% saved)

Details

analyze4.6s (12.4%)

sample271.0ms (0.7%)

simplify99.0ms (0.3%)

prune8.0ms (0%)

localize48.0ms (0.1%)

rewrite195.0ms (0.5%)

series5.8s (15.7%)

simplify295.0ms (0.8%)

prune1.7s (4.6%)

localize16.0ms (0%)

rewrite30.0ms (0.1%)

series199.0ms (0.5%)

simplify207.0ms (0.6%)

prune210.0ms (0.6%)

localize19.0ms (0.1%)

rewrite59.0ms (0.2%)

series236.0ms (0.6%)

simplify168.0ms (0.5%)

prune365.0ms (1%)

localize22.0ms (0.1%)

rewrite104.0ms (0.3%)

series376.0ms (1%)

simplify214.0ms (0.6%)

prune413.0ms (1.1%)

regimes6.0s (16.3%)

bsearch21.0ms (0.1%)

simplify121.0ms (0.3%)

end0.0ms (0%)

sample15.1s (41%)

Profiling