Details

analyze815.0ms (7%)

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

11.0ms	42×	body	2048	valid
9.0ms	163×	body	128	valid
6.0ms	30×	body	1024	valid
2.0ms	11×	body	512	valid
2.0ms	5×	body	4096	valid
1.0ms	20×	body	128	nan
1.0ms	5×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify399.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (393.0ms)

Iter	Nodes	Cost
0	1834	24
1	1834	24

prune6.0ms (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

33.7b

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 4 (.f64 a c)))) b) (.f64 a 2))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
22.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite157.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

33.5b

Rules

21×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795`
6×	`sqrt-prod_binary64_776` `difference-of-squares_binary64_729` `times-frac_binary64_766` `associate-/l*_binary64_705`
5×	`pow1_binary64_821`
4×	`flip3--_binary64_764` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726`
3×	`distribute-lft-out--_binary64_712`
2×	`sqrt-div_binary64_777` `diff-log_binary64_852` `sub-neg_binary64_753` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-/l/_binary64_707`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `div-sub_binary64_765` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/r*_binary64_704`

Counts

4 → 74

Calls

4 calls:

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

Compiler

Compiled 2100 to 1088 computations (48.2% saved)

series794.0ms (6.8%)

Error

6.8b

Counts

4 → 71

Calls

4 calls:

207.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (.f64 a 2))
173.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
166.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
164.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)

Compiler

Compiled 3132 to 2372 computations (24.3% saved)

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5000	2891

prune166.0ms (1.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	135	10	145
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	11	146

Error

6.8b

Counts

146 → 11

Compiler

Compiled 3010 to 1574 computations (47.7% saved)

localize14.0ms (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) (/.f64 1/2 a))
1.0b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
22.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite153.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

28×	`add-sqr-sqrt_binary64_782`
18×	`*-un-lft-identity_binary64_760`
14×	`add-cube-cbrt_binary64_795`
13×	`associate-r_binary64_700`
10×	`times-frac_binary64_766`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
8×	`add-log-exp_binary64_799`
7×	`pow1_binary64_821`
6×	`associate-l_binary64_701`
5×	`flip3--_binary64_764` `flip--_binary64_735` `sqrt-prod_binary64_776`
4×	`cancel-sign-sub-inv_binary64_726` `difference-of-squares_binary64_729`
2×	`sqrt-div_binary64_777` `diff-log_binary64_852` `sub-neg_binary64_753` `distribute-lft-out--_binary64_712` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-times_binary64_770` `unswap-sqr_binary64_728` `associate-*l/_binary64_703`
1×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `pow-prod-down_binary64_831` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-r/_binary64_702` `div-inv_binary64_757` `-commutative_binary64_691`

Counts

4 → 83

Calls

4 calls:

16.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
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 2366 to 1240 computations (47.6% saved)

series911.0ms (7.8%)

Error

6.8b

Counts

4 → 71

Calls

4 calls:

245.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 a c)))) b) (/.f64 1/2 a))
234.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))) b)
180.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
175.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 3132 to 2372 computations (24.3% saved)

simplify136.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4955	3137
1	4955	3137

prune182.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	153	1	154
Fresh	2	7	9
Picked	0	1	1
Done	0	1	1
Total	155	10	165

Error

6.7b

Counts

165 → 10

Compiler

Compiled 3195 to 1669 computations (47.8% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
22.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

rewrite143.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

8×	`add-log-exp_binary64_799` `add-sqr-sqrt_binary64_782`
6×	`pow1_binary64_821` `add-cube-cbrt_binary64_795` `sqrt-prod_binary64_776` `*-un-lft-identity_binary64_760`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `sqrt-div_binary64_777` `flip--_binary64_735`
2×	`pow1/2_binary64_840` `sqrt-pow1_binary64_778` `rem-sqrt-square_binary64_773` `diff-log_binary64_852` `sub-neg_binary64_753` `cancel-sign-sub-inv_binary64_726`

Counts

4 → 54

Calls

4 calls:

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

Compiler

Compiled 2260 to 1171 computations (48.2% saved)

series782.0ms (6.7%)

Error

6.7b

Counts

4 → 68

Calls

4 calls:

203.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
184.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
162.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
149.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 5242 to 3531 computations (32.6% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5083	1800

prune210.0ms (1.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	122	10	132

Error

6.7b

Counts

132 → 10

Compiler

Compiled 4126 to 2182 computations (47.1% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
5.5b	(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
22.3b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))
22.7b	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)

rewrite141.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

6.7b

Rules

16×	`add-sqr-sqrt_binary64_782`
11×	`*-un-lft-identity_binary64_760`
9×	`add-cube-cbrt_binary64_795`
8×	`add-log-exp_binary64_799` `log-prod_binary64_846` `exp-sum_binary64_806`
7×	`pow1_binary64_821` `sqrt-prod_binary64_776`
6×	`exp-prod_binary64_812`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `flip--_binary64_735` `cancel-sign-sub-inv_binary64_726` `sqrt-div_binary64_777`
3×	`difference-of-squares_binary64_729` `log-pow_binary64_849`
2×	`diff-log_binary64_852` `sub-neg_binary64_753` `pow1/2_binary64_840` `sqrt-pow1_binary64_778` `log-div_binary64_847` `exp-diff_binary64_808`
1×	`distribute-lft-out--_binary64_712` `rem-sqrt-square_binary64_773` `rem-exp-log_binary64_800`

Counts

4 → 67

Calls

4 calls:

12.0ms	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
6.0ms	(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
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 2024 to 1131 computations (44.1% saved)

series1.1s (9.1%)

Error

6.7b

Counts

4 → 76

Calls

4 calls:

349.0ms	(exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))))
258.0ms	(-.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))))) b)
210.0ms	(-.f64 (.f64 b b) (.f64 4 (*.f64 a c)))
138.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (*.f64 a c))))

Compiler

Compiled 4297 to 3192 computations (25.7% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4967	2463
1	4967	2463

prune157.0ms (1.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	1	5	6
Picked	1	0	1
Done	0	3	3
Total	142	11	153

Error

6.7b

Counts

153 → 11

Compiler

Compiled 2899 to 1538 computations (46.9% saved)

regimes1.5s (12.9%)

Accuracy

Total 4.6b remaining (44.9%)

Threshold costs 0b (0%)

Compiler

Compiled 7580 to 5614 computations (25.9% saved)

bsearch110.0ms (0.9%)

Steps

Iters	Range		Point
11	7.815957610959841e-74	1.7634053334855982e-48	3.0932824642994295e-69
8	-8.724696498114771e+136	-1.2034941718083392e+134	-4.121495107141446e+134

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	90	48
1	90	48

end0.0ms (0%)

sample3.5s (30.2%)

Algorithm

1×

intervals

Results

372.0ms	1142×	body	2048	valid
338.0ms	5192×	body	128	valid
194.0ms	721×	body	1024	valid
150.0ms	375×	body	4096	valid
76.0ms	383×	body	512	valid
42.0ms	702×	body	128	nan
28.0ms	392×	body	128	invalid
23.0ms	187×	body	256	valid

Compiler

Compiled 1977 to 1460 computations (26.2% saved)

Details

analyze815.0ms (7%)

sample45.0ms (0.4%)

simplify399.0ms (3.4%)

prune6.0ms (0.1%)

localize11.0ms (0.1%)

rewrite157.0ms (1.3%)

series794.0ms (6.8%)

simplify66.0ms (0.6%)

prune166.0ms (1.4%)

localize14.0ms (0.1%)

rewrite153.0ms (1.3%)

series911.0ms (7.8%)

simplify136.0ms (1.2%)

prune182.0ms (1.6%)

localize20.0ms (0.2%)

rewrite143.0ms (1.2%)

series782.0ms (6.7%)

simplify61.0ms (0.5%)

prune210.0ms (1.8%)

localize19.0ms (0.2%)

rewrite141.0ms (1.2%)

series1.1s (9.1%)

simplify85.0ms (0.7%)

prune157.0ms (1.3%)

regimes1.5s (12.9%)

bsearch110.0ms (0.9%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.5s (30.2%)

Profiling