Details

analyze656.0ms (6.3%)

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)

sample45.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	152×	body	128	valid
9.0ms	37×	body	2048	valid
5.0ms	29×	body	1024	valid
4.0ms	15×	body	4096	valid
2.0ms	15×	body	512	valid
2.0ms	33×	body	128	nan
1.0ms	8×	body	256	valid
1.0ms	11×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify308.0ms (3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (302.0ms)

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

36.2b

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))
1.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite150.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

36.0b

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)

series626.0ms (6%)

Error

4.3b

Counts

4 → 60

Calls

4 calls:

206.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))) b) (.f64 a 2))
165.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
108.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
99.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 2457 to 1882 computations (23.4% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4959	2503
1	4959	2503

prune146.0ms (1.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	126	8	134
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	126	9	135

Error

4.2b

Counts

135 → 9

Compiler

Compiled 2666 to 1436 computations (46.1% saved)

localize13.0ms (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)))
1.2b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite991.0ms (9.6%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

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:

24.0ms	(/.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)

series654.0ms (6.3%)

Error

4.2b

Counts

4 → 60

Calls

4 calls:

221.0ms	(/.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)))
123.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
104.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 2687 to 2112 computations (21.4% saved)

simplify202.0ms (2%)

Algorithm

1×	egg-herbie

Counts

416 → 416

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4969	16809
1	4969	16809

prune799.0ms (7.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	415	1	416
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	417	8	425

Error

4.2b

Counts

425 → 8

Compiler

Compiled 13351 to 7412 computations (44.5% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 4.2b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune6.0ms (0.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	1	1
Total	8	8

Error

4.2b

Counts

8 → 8

Compiler

Compiled 102 to 74 computations (27.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.3b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
23.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

rewrite139.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

4.2b

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:

12.0ms	(-.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)

series537.0ms (5.2%)

Error

4.2b

Counts

4 → 52

Calls

4 calls:

129.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))) b)
122.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
117.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
111.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4382 to 2996 computations (31.6% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5149	1878

prune162.0ms (1.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	116	8	124

Error

4.2b

Counts

124 → 8

Compiler

Compiled 3856 to 2089 computations (45.8% saved)

regimes1.6s (15.3%)

Accuracy

Total 4.4b remaining (45.6%)

Threshold costs 0b (0%)

Compiler

Compiled 9596 to 7278 computations (24.2% saved)

bsearch76.0ms (0.7%)

Steps

Iters	Range		Point
10	1.1383825040701448e-70	3.967135194412908e-57	6.420310449264065e-68
9	-8.293380101434019e+155	-2.595974630852124e+150	-3.578636359462714e+151

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 (29.8%)

Algorithm

1×

intervals

Results

268.0ms	5164×	body	128	valid
261.0ms	1101×	body	2048	valid
137.0ms	742×	body	1024	valid
124.0ms	410×	body	4096	valid
58.0ms	383×	body	512	valid
28.0ms	617×	body	128	nan
18.0ms	200×	body	256	valid
18.0ms	375×	body	128	invalid

Compiler

Compiled 2484 to 1877 computations (24.4% saved)

Details

analyze656.0ms (6.3%)

sample45.0ms (0.4%)

simplify308.0ms (3%)

prune4.0ms (0%)

localize11.0ms (0.1%)

rewrite150.0ms (1.4%)

series626.0ms (6%)

simplify63.0ms (0.6%)

prune146.0ms (1.4%)

localize13.0ms (0.1%)

rewrite991.0ms (9.6%)

series654.0ms (6.3%)

simplify202.0ms (2%)

prune799.0ms (7.7%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune6.0ms (0.1%)

localize19.0ms (0.2%)

rewrite139.0ms (1.3%)

series537.0ms (5.2%)

simplify71.0ms (0.7%)

prune162.0ms (1.6%)

regimes1.6s (15.3%)

bsearch76.0ms (0.7%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.1s (29.8%)

Profiling