Details

analyze680.0ms (5.4%)

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)

sample44.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	31×	body	2048	valid
9.0ms	167×	body	128	valid
5.0ms	15×	body	4096	valid
4.0ms	22×	body	1024	valid
2.0ms	11×	body	512	valid
1.0ms	10×	body	256	valid
1.0ms	17×	body	128	nan
1.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify316.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (311.0ms)

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

34.3b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.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))
1.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite153.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

34.0b

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)

series758.0ms (6%)

Error

6.7b

Counts

4 → 71

Calls

4 calls:

220.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
161.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
159.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
154.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Compiler

Compiled 3219 to 2442 computations (24.1% saved)

simplify76.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5664	2926

prune150.0ms (1.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	136	9	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	10	146

Error

6.6b

Counts

146 → 10

Compiler

Compiled 3012 to 1625 computations (46% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (/.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)))
1.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite1.1s (9.1%)

Algorithm

1×	rewrite-expression-head

Error

6.6b

Rules

693×	`times-frac_binary64_2130`
439×	`add-sqr-sqrt_binary64_2146`
364×	`*-un-lft-identity_binary64_2124`
290×	`add-cube-cbrt_binary64_2159`
74×	`difference-of-squares_binary64_2093`
71×	`associate-/r*_binary64_2068`
40×	`sqrt-prod_binary64_2140`
37×	`distribute-lft-out--_binary64_2076`
25×	`add-exp-log_binary64_2162`
17×	`div-inv_binary64_2121`
15×	`div-exp_binary64_2175`
13×	`add-cbrt-cube_binary64_2160`
8×	`add-log-exp_binary64_2163`
6×	`pow1_binary64_2185` `cbrt-undiv_binary64_2158`
5×	`associate-/r/_binary64_2070`
4×	`cancel-sign-sub-inv_binary64_2090`
3×	`flip3--_binary64_2128` `flip--_binary64_2099` `1-exp_binary64_2168` `rec-exp_binary64_2174` `associate-/l*_binary64_2069`
2×	`sqrt-div_binary64_2141` `diff-log_binary64_2216` `sub-neg_binary64_2117`
1×	`pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `rem-sqrt-square_binary64_2137` `inv-pow_binary64_2209` `pow-flip_binary64_2198` `frac-2neg_binary64_2135` `clear-num_binary64_2123`

Counts

4 → 356

Calls

4 calls:

23.0ms	(/.f64 1 (/.f64 a (/.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)
4.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 14021 to 8305 computations (40.8% saved)

series741.0ms (5.9%)

Error

6.6b

Counts

4 → 71

Calls

4 calls:

212.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
160.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
156.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
151.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3489 to 2712 computations (22.3% saved)

simplify215.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

427 → 427

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4944	17233
1	4944	17233

prune841.0ms (6.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	425	2	427
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	427	10	437

Error

6.6b

Counts

437 → 10

Compiler

Compiled 13742 to 7635 computations (44.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite138.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

6.6b

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

Compiler

Compiled 2860 to 1545 computations (46% saved)

series768.0ms (6.1%)

Error

6.6b

Counts

4 → 74

Calls

4 calls:

171.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
166.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
165.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
160.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 6866 to 4784 computations (30.3% saved)

simplify88.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4965	2744
1	4965	2744

prune220.0ms (1.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	138	10	148

Error

6.6b

Counts

148 → 10

Compiler

Compiled 5255 to 2929 computations (44.3% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.5b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite135.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

6.6b

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:

10.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
4.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2732 to 1417 computations (48.1% saved)

series740.0ms (5.9%)

Error

6.6b

Counts

4 → 74

Calls

4 calls:

165.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
163.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
160.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
155.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 6506 to 4397 computations (32.4% saved)

simplify89.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4965	2744
1	4965	2744

prune196.0ms (1.6%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	138	10	148

Error

6.6b

Counts

148 → 10

Compiler

Compiled 4876 to 2545 computations (47.8% saved)

regimes1.6s (13%)

Accuracy

Total 4.6b remaining (46.3%)

Threshold costs 0b (0%)

Compiler

Compiled 9932 to 7670 computations (22.8% saved)

bsearch80.0ms (0.6%)

Steps

Iters	Range		Point
9	2.5782589075849317e-38	2.2163939757815603e-33	2.7658541670298186e-38
9	-3.3762185246443427e+123	-2.3479465554301022e+117	-9.934253510808862e+120

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	101	58
1	101	58

end0.0ms (0%)

sample3.3s (26.2%)

Algorithm

1×

intervals

Results

280.0ms	1104×	body	2048	valid
271.0ms	5197×	body	128	valid
157.0ms	731×	body	1024	valid
126.0ms	395×	body	4096	valid
62.0ms	407×	body	512	valid
38.0ms	674×	body	128	nan
24.0ms	405×	body	128	invalid
21.0ms	166×	body	256	valid

Compiler

Compiled 2572 to 1978 computations (23.1% saved)

Details

analyze680.0ms (5.4%)

sample44.0ms (0.3%)

simplify316.0ms (2.5%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite153.0ms (1.2%)

series758.0ms (6%)

simplify76.0ms (0.6%)

prune150.0ms (1.2%)

localize15.0ms (0.1%)

rewrite1.1s (9.1%)

series741.0ms (5.9%)

simplify215.0ms (1.7%)

prune841.0ms (6.7%)

localize14.0ms (0.1%)

rewrite138.0ms (1.1%)

series768.0ms (6.1%)

simplify88.0ms (0.7%)

prune220.0ms (1.8%)

localize14.0ms (0.1%)

rewrite135.0ms (1.1%)

series740.0ms (5.9%)

simplify89.0ms (0.7%)

prune196.0ms (1.6%)

regimes1.6s (13%)

bsearch80.0ms (0.6%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (26.2%)

Profiling