Details

analyze668.0ms (5.3%)

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 (0.4%)

Algorithm

1×

intervals

Results

9.0ms	38×	body	2048	valid
8.0ms	164×	body	128	valid
7.0ms	23×	body	1024	valid
4.0ms	13×	body	4096	valid
2.0ms	11×	body	512	valid
1.0ms	22×	body	128	nan
1.0ms	18×	body	128	invalid
1.0ms	7×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify314.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (308.0ms)

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

35.5b

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))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite151.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

35.2b

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)

series767.0ms (6.1%)

Error

5.9b

Counts

4 → 72

Calls

4 calls:

226.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
159.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
158.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
154.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 3270 to 2476 computations (24.3% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5089	2996

prune163.0ms (1.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	12	147

Error

5.9b

Counts

147 → 12

Compiler

Compiled 3140 to 1707 computations (45.6% saved)

localize12.0ms (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)))
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite902.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

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:

25.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
9.0ms	(-.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))))
5.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 14021 to 8305 computations (40.8% saved)

series796.0ms (6.3%)

Error

5.9b

Counts

4 → 72

Calls

4 calls:

234.0ms	(/.f64 1 (/.f64 a (/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b) 2)))
174.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
161.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
160.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))

Compiler

Compiled 3540 to 2746 computations (22.4% saved)

simplify201.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

428 → 428

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4964	17303
1	4964	17303

prune858.0ms (6.8%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	426	2	428
Fresh	2	8	10
Picked	0	1	1
Done	0	1	1
Total	428	12	440

Error

5.9b

Counts

440 → 12

Compiler

Compiled 13823 to 7693 computations (44.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite137.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

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

Compiler

Compiled 2732 to 1506 computations (44.9% saved)

series770.0ms (6.1%)

Error

5.9b

Counts

4 → 74

Calls

4 calls:

177.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
169.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
166.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
160.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 6506 to 4474 computations (31.2% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5083	2720

prune213.0ms (1.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	138	12	150

Error

5.9b

Counts

150 → 12

Compiler

Compiled 5000 to 2740 computations (45.2% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.1b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
24.4b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite171.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

5.9b

Rules

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

Counts

4 → 62

Calls

4 calls:

11.0ms	(-.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	(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 3504 to 1972 computations (43.7% saved)

series874.0ms (7%)

Error

5.9b

Counts

4 → 77

Calls

4 calls:

189.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
181.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
181.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
173.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 9393 to 6098 computations (35.1% saved)

simplify63.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5083	2710

prune315.0ms (2.5%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	139	12	151

Error

5.9b

Counts

151 → 12

Compiler

Compiled 6872 to 3757 computations (45.3% saved)

regimes1.6s (12.6%)

Accuracy

Total 4.5b remaining (45.2%)

Threshold costs 0b (0%)

Compiler

Compiled 10100 to 7730 computations (23.5% saved)

bsearch60.0ms (0.5%)

Steps

Iters	Range		Point
7	8.646895483593871e-43	2.8841321560675714e-41	9.354693495133569e-43
8	-1.3481696438732638e+147	-2.8744800158599896e+144	-4.4035815120185316e+145

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	86	52
1	86	52

end0.0ms (0%)

sample3.3s (26.3%)

Algorithm

1×

intervals

Results

296.0ms	1173×	body	2048	valid
264.0ms	5176×	body	128	valid
142.0ms	715×	body	1024	valid
109.0ms	368×	body	4096	valid
54.0ms	366×	body	512	valid
34.0ms	661×	body	128	nan
19.0ms	202×	body	256	valid
18.0ms	373×	body	128	invalid

Compiler

Compiled 2610 to 1993 computations (23.6% saved)

Details

analyze668.0ms (5.3%)

sample44.0ms (0.4%)

simplify314.0ms (2.5%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite151.0ms (1.2%)

series767.0ms (6.1%)

simplify58.0ms (0.5%)

prune163.0ms (1.3%)

localize12.0ms (0.1%)

rewrite902.0ms (7.2%)

series796.0ms (6.3%)

simplify201.0ms (1.6%)

prune858.0ms (6.8%)

localize20.0ms (0.2%)

rewrite137.0ms (1.1%)

series770.0ms (6.1%)

simplify66.0ms (0.5%)

prune213.0ms (1.7%)

localize23.0ms (0.2%)

rewrite171.0ms (1.4%)

series874.0ms (7%)

simplify63.0ms (0.5%)

prune315.0ms (2.5%)

regimes1.6s (12.6%)

bsearch60.0ms (0.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (26.3%)

Profiling