Details

analyze1.1s (13%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1992	72
1	1992	72
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
18.7%	76.5%	4.8%	7
28.1%	66.3%	5.6%	8
35.1%	55%	9.9%	9
36.3%	50.9%	12.8%	10
42.1%	42.4%	15.5%	11
47.5%	33.8%	18.7%	12
48.8%	30.7%	20.6%	13
51.8%	25.6%	22.5%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample40.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	37×	body	2048	valid
7.0ms	167×	body	128	valid
4.0ms	28×	body	1024	valid
2.0ms	9×	body	4096	valid
2.0ms	13×	body	512	valid
1.0ms	21×	body	128	nan
0.0ms	7×	body	128	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	714	18
1	714	18

prune7.0ms (0.1%)

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 24 to 18 computations (25% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
0.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
24.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite146.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

35.3b

Rules

38×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
17×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
8×	`add-log-exp_binary64` `sqrt-prod_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
5×	`pow1_binary64` `distribute-lft-out--_binary64`
4×	`flip3--_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`
3×	`associate-/r*_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `associate-/l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-exp_binary64` `cbrt-undiv_binary64` `frac-2neg_binary64` `div-sub_binary64` `clear-num_binary64` `div-inv_binary64`

Counts

4 → 86

Calls

4 calls:

14.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
11.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
6.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
4.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 2014 to 333 computations (83.5% saved)

series648.0ms (7.3%)

Error

5.5b

Counts

4 → 68

Calls

4 calls:

187.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
148.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
136.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
126.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 2619 to 1844 computations (29.6% saved)

simplify94.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5061	2934

prune118.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	147	7	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	147	8	155

Error

5.4b

Counts

155 → 8

Compiler

Compiled 2710 to 564 computations (79.2% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
0.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
24.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite205.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

144×	`times-frac_binary64`
124×	`add-sqr-sqrt_binary64`
97×	`*-un-lft-identity_binary64`
71×	`add-cube-cbrt_binary64`
26×	`difference-of-squares_binary64`
24×	`associate-/r*_binary64`
16×	`sqrt-prod_binary64`
15×	`add-exp-log_binary64`
13×	`distribute-lft-out--_binary64`
9×	`add-cbrt-cube_binary64` `associate-/r/_binary64`
8×	`add-log-exp_binary64`
7×	`flip3--_binary64` `flip--_binary64` `div-exp_binary64`
6×	`pow1_binary64`
5×	`div-inv_binary64`
4×	`cancel-sign-sub-inv_binary64`
3×	`cbrt-undiv_binary64` `associate-/l*_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `1-exp_binary64` `rec-exp_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `inv-pow_binary64` `pow-flip_binary64` `frac-2neg_binary64` `clear-num_binary64`

Counts

4 → 164

Calls

4 calls:

16.0ms	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
4.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 4825 to 1174 computations (75.7% saved)

series629.0ms (7.1%)

Error

5.4b

Counts

4 → 68

Calls

4 calls:

186.0ms	(/.f64 1 (/.f64 a (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)))
146.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
127.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))
123.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 2881 to 2109 computations (26.8% saved)

simplify99.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4966	5925
1	4966	5925

prune167.0ms (1.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	231	9	240

Error

5.4b

Counts

240 → 9

Compiler

Compiled 5180 to 1152 computations (77.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
0.4b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
24.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite110.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

30×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
13×	`add-exp-log_binary64` `associate-r_binary64`
11×	`times-frac_binary64`
9×	`add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
7×	`pow1_binary64`
6×	`associate-l_binary64`
5×	`flip3--_binary64` `flip--_binary64` `sqrt-prod_binary64`
4×	`cancel-sign-sub-inv_binary64` `difference-of-squares_binary64` `prod-exp_binary64`
3×	`unswap-sqr_binary64`
2×	`sqrt-div_binary64` `diff-log_binary64` `sub-neg_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `pow-prod-down_binary64` `1-exp_binary64` `rec-exp_binary64` `cbrt-undiv_binary64` `un-div-inv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

17.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
8.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
4.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
4.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 2156 to 599 computations (72.2% saved)

series622.0ms (7.1%)

Error

5.4b

Counts

4 → 68

Calls

4 calls:

183.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) b_2) (/.f64 1 a))
135.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
127.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
127.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 2881 to 2118 computations (26.5% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5057	2686

prune112.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	154	1	155
Fresh	1	5	6
Picked	1	0	1
Done	1	1	2
Total	157	7	164

Error

5.4b

Counts

164 → 7

Compiler

Compiled 2820 to 846 computations (70% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
1.2b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
24.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
24.9b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite72.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64` `*-un-lft-identity_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `flip3--_binary64` `sqrt-div_binary64` `flip--_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `diff-log_binary64` `sub-neg_binary64` `cancel-sign-sub-inv_binary64`

Counts

4 → 54

Calls

4 calls:

4.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))
4.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
4.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
4.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 1844 to 280 computations (84.8% saved)

series602.0ms (6.8%)

Error

5.4b

Counts

4 → 72

Calls

4 calls:

136.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))
136.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
134.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))
134.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 4874 to 2656 computations (45.5% saved)

simplify61.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5006	1646

prune98.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	126	7	133

Error

5.4b

Counts

133 → 7

Compiler

Compiled 3486 to 501 computations (85.6% saved)

regimes1.3s (14.9%)

Accuracy

Total 4.2b remaining (43.5%)

Threshold costs 0b (0%)

Compiler

Compiled 6524 to 3598 computations (44.8% saved)

bsearch65.0ms (0.7%)

Steps

Iters	Range		Point
8	2.3897434063410402e-76	7.602390350914041e-74	2.9875962274835245e-74
10	-1.9171569757188596e+155	-6.949514883717358e+140	-1.5775900237317984e+152

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	60	44
1	60	44

end0.0ms (0%)

sample2.3s (25.8%)

Algorithm

1×

intervals

Results

237.0ms	5175×	body	128	valid
230.0ms	1132×	body	2048	valid
122.0ms	727×	body	1024	valid
107.0ms	416×	body	4096	valid
44.0ms	369×	body	512	valid
37.0ms	831×	body	128	nan
17.0ms	181×	body	256	valid
11.0ms	256×	body	128	invalid

Compiler

Compiled 1667 to 925 computations (44.5% saved)

Details

analyze1.1s (13%)

sample40.0ms (0.5%)

simplify72.0ms (0.8%)

prune7.0ms (0.1%)

localize11.0ms (0.1%)

rewrite146.0ms (1.7%)

series648.0ms (7.3%)

simplify94.0ms (1.1%)

prune118.0ms (1.3%)

localize10.0ms (0.1%)

rewrite205.0ms (2.3%)

series629.0ms (7.1%)

simplify99.0ms (1.1%)

prune167.0ms (1.9%)

localize10.0ms (0.1%)

rewrite110.0ms (1.2%)

series622.0ms (7.1%)

simplify72.0ms (0.8%)

prune112.0ms (1.3%)

localize11.0ms (0.1%)

rewrite72.0ms (0.8%)

series602.0ms (6.8%)

simplify61.0ms (0.7%)

prune98.0ms (1.1%)

regimes1.3s (14.9%)

bsearch65.0ms (0.7%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (25.8%)

Profiling