Details

analyze686.0ms (6.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5132	96
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.1%	0.1%	6
21.8%	71.8%	6.4%	7
31.2%	62.4%	6.4%	8
35.9%	55.4%	8.7%	9
37.8%	48.8%	13.4%	10
42.7%	42.3%	15%	11
47.7%	34.2%	18.1%	12
49.1%	30.4%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample45.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	36×	body	2048	valid
9.0ms	167×	body	128	valid
4.0ms	22×	body	1024	valid
4.0ms	14×	body	4096	valid
3.0ms	16×	body	128	invalid
2.0ms	15×	body	512	valid
1.0ms	17×	body	128	nan
0.0ms	2×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify320.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (314.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

36.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite155.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

35.9b

Rules

21×	`add-sqr-sqrt_binary64_2146`
14×	`*-un-lft-identity_binary64_2124`
9×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159`
6×	`sqrt-prod_binary64_2140` `difference-of-squares_binary64_2093` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
5×	`pow1_binary64_2185`
4×	`flip3--_binary64_2128` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090`
3×	`distribute-lft-out--_binary64_2076`
2×	`sqrt-div_binary64_2141` `diff-log_binary64_2216` `sub-neg_binary64_2117` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-/l/_binary64_2071`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r*_binary64_2068`

Counts

4 → 74

Calls

4 calls:

12.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series682.0ms (6.9%)

Error

5.2b

Counts

4 → 62

Calls

4 calls:

224.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
160.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
126.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
117.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2601 to 1988 computations (23.6% saved)

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5548	2567

prune146.0ms (1.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	127	9	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	128	9	137

Error

5.1b

Counts

137 → 9

Compiler

Compiled 2771 to 1495 computations (46% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite138.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

5.1b

Rules

28×	`add-sqr-sqrt_binary64_2146`
18×	`*-un-lft-identity_binary64_2124`
14×	`add-cube-cbrt_binary64_2159`
13×	`associate-r_binary64_2064`
10×	`times-frac_binary64_2130`
9×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163`
7×	`pow1_binary64_2185`
6×	`associate-l_binary64_2065`
5×	`flip3--_binary64_2128` `flip--_binary64_2099` `sqrt-prod_binary64_2140`
4×	`difference-of-squares_binary64_2093` `cancel-sign-sub-inv_binary64_2090`
2×	`sqrt-div_binary64_2141` `diff-log_binary64_2216` `sub-neg_binary64_2117` `distribute-lft-out--_binary64_2076` `prod-exp_binary64_2173` `cbrt-unprod_binary64_2157` `frac-times_binary64_2134` `unswap-sqr_binary64_2092` `associate-*l/_binary64_2067`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `pow-prod-down_binary64_2195` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `associate-r/_binary64_2066` `div-inv_binary64_2121` `-commutative_binary64_2055`

Counts

4 → 83

Calls

4 calls:

16.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
4.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2366 to 1383 computations (41.5% saved)

series675.0ms (6.8%)

Error

5.1b

Counts

4 → 62

Calls

4 calls:

223.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (/.f64 1/2 a))
160.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
135.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
113.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2601 to 1988 computations (23.6% saved)

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5149	2813

prune139.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	146	8	154

Error

5.1b

Counts

154 → 8

Compiler

Compiled 2964 to 1597 computations (46.1% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)
0.8b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite150.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

5.1b

Rules

38×	`add-sqr-sqrt_binary64_2146`
27×	`*-un-lft-identity_binary64_2124`
18×	`times-frac_binary64_2130`
17×	`add-cube-cbrt_binary64_2159`
10×	`difference-of-squares_binary64_2093`
8×	`add-log-exp_binary64_2163` `sqrt-prod_binary64_2140`
6×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `associate-/l*_binary64_2069`
5×	`pow1_binary64_2185` `distribute-lft-out--_binary64_2076`
4×	`flip3--_binary64_2128` `flip--_binary64_2099` `cancel-sign-sub-inv_binary64_2090`
3×	`associate-/r*_binary64_2068`
2×	`sqrt-div_binary64_2141` `diff-log_binary64_2216` `sub-neg_binary64_2117` `associate-/l/_binary64_2071`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `div-sub_binary64_2129` `clear-num_binary64_2123` `div-inv_binary64_2121`

Counts

4 → 86

Calls

4 calls:

11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 2664 to 1502 computations (43.6% saved)

series580.0ms (5.9%)

Error

5.1b

Counts

4 → 59

Calls

4 calls:

152.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
143.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)
126.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
110.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2819 to 2228 computations (21% saved)

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4943	2995
1	4943	2995

prune160.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	144	9	153

Error

5.1b

Counts

153 → 9

Compiler

Compiled 3444 to 1987 computations (42.3% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
0.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.8b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite134.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

5.1b

Rules

18×	`add-sqr-sqrt_binary64_2146`
12×	`*-un-lft-identity_binary64_2124`
8×	`add-log-exp_binary64_2163` `add-cube-cbrt_binary64_2159` `sqrt-prod_binary64_2140`
6×	`pow1_binary64_2185` `cancel-sign-sub-inv_binary64_2090`
4×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `sqrt-div_binary64_2141` `flip--_binary64_2099` `difference-of-squares_binary64_2093`
2×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `diff-log_binary64_2216` `sub-neg_binary64_2117` `distribute-lft-out--_binary64_2076`

Counts

4 → 64

Calls

4 calls:

8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
5.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2732 to 1506 computations (44.9% saved)

series588.0ms (5.9%)

Error

5.1b

Counts

4 → 56

Calls

4 calls:

149.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
141.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
118.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
118.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 4790 to 3280 computations (31.5% saved)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5217	2002

prune160.0ms (1.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	120	9	129

Error

5.1b

Counts

129 → 9

Compiler

Compiled 4020 to 2166 computations (46.1% saved)

regimes1.6s (16.3%)

Accuracy

Total 4.8b remaining (43.6%)

Threshold costs 0b (0%)

Compiler

Compiled 8876 to 6750 computations (24% saved)

bsearch65.0ms (0.7%)

Steps

Iters	Range		Point
7	1.3617574627336912e-45	9.015427654910136e-44	1.9526479573216073e-45
9	-2.1791978352200356e+61	-1.9577911674416357e+56	-2.1163049469441965e+61

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	93	52
1	93	52

end0.0ms (0%)

sample3.1s (31.3%)

Algorithm

1×

intervals

Results

288.0ms	5215×	body	128	valid
269.0ms	1061×	body	2048	valid
157.0ms	764×	body	1024	valid
133.0ms	426×	body	4096	valid
52.0ms	363×	body	512	valid
36.0ms	688×	body	128	nan
21.0ms	407×	body	128	invalid
17.0ms	171×	body	256	valid

Compiler

Compiled 2304 to 1745 computations (24.3% saved)

Details

analyze686.0ms (6.9%)

sample45.0ms (0.5%)

simplify320.0ms (3.2%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite155.0ms (1.6%)

series682.0ms (6.9%)

simplify73.0ms (0.7%)

prune146.0ms (1.5%)

localize12.0ms (0.1%)

rewrite138.0ms (1.4%)

series675.0ms (6.8%)

simplify81.0ms (0.8%)

prune139.0ms (1.4%)

localize13.0ms (0.1%)

rewrite150.0ms (1.5%)

series580.0ms (5.9%)

simplify75.0ms (0.8%)

prune160.0ms (1.6%)

localize21.0ms (0.2%)

rewrite134.0ms (1.4%)

series588.0ms (5.9%)

simplify61.0ms (0.6%)

prune160.0ms (1.6%)

regimes1.6s (16.3%)

bsearch65.0ms (0.7%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (31.3%)

Profiling