Details

analyze2.6s (6.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5334	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%	99.8%	0.2%	7
0%	98.2%	1.8%	8
0%	94.3%	5.7%	9
0.4%	93%	6.6%	10
7.4%	83.3%	9.3%	11
12.4%	75.2%	12.4%	12
14.4%	68.9%	16.7%	13
16.8%	65.4%	17.8%	14

Compiler

Compiled 41 to 33 computations (19.5% saved)

sample163.0ms (0.4%)

Algorithm

1×

intervals

Results

28.0ms	33×	body	1024	valid
25.0ms	179×	body	128	valid
15.0ms	21×	body	2048	nan
15.0ms	27×	body	1024	nan
14.0ms	19×	body	2048	valid
11.0ms	82×	body	128	nan
8.0ms	20×	body	512	nan
5.0ms	13×	body	512	valid
3.0ms	12×	body	256	valid
3.0ms	11×	body	256	nan

Compiler

Compiled 81 to 69 computations (14.8% saved)

simplify40.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5613	61

prune5.0ms (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

49.8b

Counts

2 → 1

Compiler

Compiled 80 to 59 computations (26.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

6.3b	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)
15.8b	(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))))))
17.0b	(/.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)))
35.0b	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))

rewrite811.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

47.9b

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`
31×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
24×	`frac-add_binary64_2132` `frac-times_binary64_2134`
20×	`distribute-neg-frac_binary64_2088` `associate-/l/_binary64_2071`
17×	`pow1_binary64_2185`
16×	`distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081` `flip3--_binary64_2128` `flip--_binary64_2099`
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×	`add-log-exp_binary64_2163` `unpow-prod-down_binary64_2203` `neg-mul-1_binary64_2120`
3×	`distribute-lft-out_binary64_2075` `associate-/r_binary64_2068` `associate-l_binary64_2065` `associate-r*_binary64_2064`
2×	`pow1/2_binary64_2204` `associate-/r/_binary64_2070`
1×	`distribute-lft-out--_binary64_2076` `rem-sqrt-square_binary64_2137` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `neg-sub0_binary64_2119` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `distribute-frac-neg_binary64_2087` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `unswap-sqr_binary64_2092` `*-commutative_binary64_2055`

Counts

4 → 158

Calls

4 calls:

32.0ms	(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))))))
18.0ms	(/.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)))
12.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
9.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

Compiler

Compiled 11876 to 7641 computations (35.7% saved)

series15.5s (41%)

Error

27.1b

Counts

4 → 85

Calls

4 calls:

8.3s	(/.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)))
6.2s	(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))))))
317.0ms	(sqrt.f64 (+.f64 (pow.f64 (-.f64 A C) 2) (pow.f64 B 2)))
315.0ms	(.f64 (-.f64 (pow.f64 B 2) (.f64 (*.f64 4 A) C)) F)

Compiler

Compiled 28233 to 20603 computations (27% saved)

simplify162.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

243 → 243

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5309	19013

prune1.2s (3.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	227	16	243
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	228	16	244

Error

26.0b

Counts

244 → 16

Compiler

Compiled 18259 to 9504 computations (47.9% saved)

localize7.0ms (0%)

Local error

Found 2 expressions with local error:

0.5b	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
12.4b	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

rewrite62.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

25.9b

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×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-r_binary64_2064`
3×	`pow1/2_binary64_2204` `associate-*r/_binary64_2066`
2×	`add-log-exp_binary64_2163` `sqrt-div_binary64_2141` `unswap-sqr_binary64_2092`
1×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `sqrt-unprod_binary64_2144` `*-commutative_binary64_2055`

Counts

2 → 40

Calls

2 calls:

9.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
4.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

Compiler

Compiled 641 to 475 computations (25.9% saved)

series113.0ms (0.3%)

Error

26.0b

Counts

2 → 12

Calls

2 calls:

62.0ms	(.f64 (sqrt.f64 2) (sqrt.f64 (.f64 -1/2 (/.f64 F A))))
44.0ms	(sqrt.f64 (*.f64 -1/2 (/.f64 F A)))

Compiler

Compiled 494 to 489 computations (1% saved)

simplify112.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	4850	676
1	4850	676

prune89.0ms (0.2%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	43	9	52
Fresh	0	15	15
Picked	0	1	1
Done	0	0	0
Total	43	25	68

Error

25.9b

Counts

68 → 25

Compiler

Compiled 1322 to 1011 computations (23.5% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

12.4b

(sqrt.f64 (neg.f64 (/.f64 F A)))

rewrite42.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Error

22.7b

Rules

30×	`sqrt-prod_binary64_2140`
18×	`times-frac_binary64_2130`
17×	`add-sqr-sqrt_binary64_2146`
16×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
13×	`distribute-rgt-neg-in_binary64_2082` `distribute-lft-neg-in_binary64_2081`
2×	`pow1_binary64_2185` `div-inv_binary64_2121`
1×	`pow1/2_binary64_2204` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `sqrt-pow1_binary64_2142` `distribute-neg-frac_binary64_2088` `sqrt-div_binary64_2141` `neg-mul-1_binary64_2120` `rem-sqrt-square_binary64_2137`

Counts

1 → 41

Calls

1 calls:

5.0ms

(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 547 to 221 computations (59.6% saved)

series42.0ms (0.1%)

Error

25.9b

Counts

1 → 6

Calls

1 calls:

38.0ms

(sqrt.f64 (neg.f64 (/.f64 F A)))

Compiler

Compiled 160 to 154 computations (3.8% saved)

simplify148.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	4604	671
1	4604	671

prune72.0ms (0.2%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	40	7	47
Fresh	6	17	23
Picked	0	1	1
Done	1	0	1
Total	47	25	72

Error

22.7b

Counts

72 → 25

Compiler

Compiled 1143 to 697 computations (39% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.1b	(sqrt.f64 (/.f64 -1 A))
0.3b	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))

rewrite87.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Error

22.7b

Rules

36×	`add-sqr-sqrt_binary64_2146` `sqrt-prod_binary64_2140`
21×	`times-frac_binary64_2130`
19×	`add-cube-cbrt_binary64_2159` `*-un-lft-identity_binary64_2124`
16×	`associate-r_binary64_2064`
7×	`pow1_binary64_2185`
6×	`unswap-sqr_binary64_2092` `associate-l_binary64_2065`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
3×	`pow1/2_binary64_2204` `pow-prod-down_binary64_2195` `sqrt-pow1_binary64_2142`
2×	`add-log-exp_binary64_2163` `sqrt-div_binary64_2141` `div-inv_binary64_2121` `rem-sqrt-square_binary64_2137`
1×	`prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `sqrt-unprod_binary64_2144` `associate-r/_binary64_2066` `-commutative_binary64_2055`

Counts

2 → 68

Calls

2 calls:

12.0ms	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))
3.0ms	(sqrt.f64 (/.f64 -1 A))

Compiler

Compiled 1023 to 688 computations (32.7% saved)

series64.0ms (0.2%)

Error

22.7b

Counts

2 → 9

Calls

2 calls:

48.0ms	(*.f64 (sqrt.f64 F) (sqrt.f64 (/.f64 -1 A)))
12.0ms	(sqrt.f64 (/.f64 -1 A))

Compiler

Compiled 277 to 270 computations (2.5% saved)

simplify94.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4831	989
1	4831	989

prune63.0ms (0.2%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	72	5	77
Fresh	4	19	23
Picked	0	1	1
Done	0	1	1
Total	76	26	102

Error

22.7b

Counts

102 → 26

Compiler

Compiled 993 to 644 computations (35.1% saved)

regimes5.4s (14.1%)

Accuracy

Total 4.3b remaining (14.3%)

Threshold costs 0b (0%)

Compiler

Compiled 52997 to 39313 computations (25.8% saved)

bsearch16.0ms (0%)

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

simplify34.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	223	389
1	223	389

Compiler

Compiled 504 to 348 computations (31% saved)

end0.0ms (0%)

sample11.0s (29%)

Algorithm

1×

intervals

Results

798.0ms	5512×	body	128	valid
548.0ms	879×	body	1024	valid
515.0ms	661×	body	2048	valid
464.0ms	773×	body	1024	nan
443.0ms	593×	body	2048	nan
409.0ms	2895×	body	128	nan
262.0ms	588×	body	512	valid
259.0ms	611×	body	512	nan
98.0ms	355×	body	256	valid
90.0ms	325×	body	256	nan
5.0ms	5×	body	4096	valid

Compiler

Compiled 8259 to 6070 computations (26.5% saved)

Details

analyze2.6s (6.8%)

sample163.0ms (0.4%)

simplify40.0ms (0.1%)

prune5.0ms (0%)

localize20.0ms (0.1%)

rewrite811.0ms (2.1%)

series15.5s (41%)

simplify162.0ms (0.4%)

prune1.2s (3.1%)

localize7.0ms (0%)

rewrite62.0ms (0.2%)

series113.0ms (0.3%)

simplify112.0ms (0.3%)

prune89.0ms (0.2%)

localize5.0ms (0%)

rewrite42.0ms (0.1%)

series42.0ms (0.1%)

simplify148.0ms (0.4%)

prune72.0ms (0.2%)

localize6.0ms (0%)

rewrite87.0ms (0.2%)

series64.0ms (0.2%)

simplify94.0ms (0.2%)

prune63.0ms (0.2%)

regimes5.4s (14.1%)

bsearch16.0ms (0%)

simplify34.0ms (0.1%)

end0.0ms (0%)

sample11.0s (29%)

Profiling