Details

analyze869.0ms (4.1%)

Algorithm

1×

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
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	68.6%	6.4%	7
31.2%	62.4%	6.4%	8
36.7%	54.6%	8.7%	9
38.2%	48.4%	13.4%	10
42.7%	42.3%	15%	11
47.8%	34.1%	18.1%	12
49.1%	30.3%	20.5%	13
51.9%	25.8%	22.3%	14

Compiler

Compiled 18 to 15 computations (16.7% saved)

sample81.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms	37×	body	2048	valid
16.0ms	166×	body	128	valid
10.0ms	26×	body	1024	valid
9.0ms	15×	body	4096	valid
2.0ms	8×	body	512	valid
2.0ms	24×	body	128	nan
2.0ms	17×	body	128	invalid
1.0ms	4×	body	256	valid

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify677.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (514.0ms)

Iter	Nodes	Cost
0	1802	24
1	1802	24

prune12.0ms (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

36.1b

Counts

2 → 1

Compiler

Compiled 32 to 26 computations (18.8% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.7b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
0.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
26.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite266.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

35.9b

Rules

21×	`add-sqr-sqrt_binary64_4874`
14×	`*-un-lft-identity_binary64_4852`
9×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
8×	`add-log-exp_binary64_4891` `add-cube-cbrt_binary64_4887`
6×	`sqrt-prod_binary64_4868` `difference-of-squares_binary64_4821` `times-frac_binary64_4858` `associate-/l*_binary64_4797`
5×	`pow1_binary64_4913`
4×	`flip3--_binary64_4856` `flip--_binary64_4827` `cancel-sign-sub-inv_binary64_4818`
3×	`distribute-lft-out--_binary64_4804`
2×	`sqrt-div_binary64_4869` `diff-log_binary64_4944` `sub-neg_binary64_4845` `div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `associate-/l/_binary64_4799`
1×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `frac-2neg_binary64_4863` `div-sub_binary64_4857` `clear-num_binary64_4851` `div-inv_binary64_4849` `associate-/r*_binary64_4796`

Counts

4 → 74

Calls

4 calls:

23.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

Compiler

Compiled 2100 to 1220 computations (41.9% saved)

series1.3s (6.2%)

Error

5.5b

Counts

4 → 68

Calls

4 calls:

402.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (.f64 3 a))
275.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
272.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
262.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 3077 to 2356 computations (23.4% saved)

simplify163.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4962	2799
1	4962	2799

prune585.0ms (2.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	135	7	142
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	135	8	143

Error

5.4b

Counts

143 → 8

Compiler

Compiled 2908 to 1566 computations (46.1% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (/.f64 1/3 a))
0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
0.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
26.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

rewrite248.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

28×	`add-sqr-sqrt_binary64_4874`
18×	`*-un-lft-identity_binary64_4852`
14×	`add-cube-cbrt_binary64_4887`
13×	`associate-r_binary64_4792`
10×	`times-frac_binary64_4858`
9×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888`
8×	`add-log-exp_binary64_4891`
7×	`pow1_binary64_4913`
6×	`associate-l_binary64_4793`
5×	`flip3--_binary64_4856` `flip--_binary64_4827` `sqrt-prod_binary64_4868`
4×	`difference-of-squares_binary64_4821` `cancel-sign-sub-inv_binary64_4818`
2×	`sqrt-div_binary64_4869` `diff-log_binary64_4944` `sub-neg_binary64_4845` `distribute-lft-out--_binary64_4804` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `frac-times_binary64_4862` `unswap-sqr_binary64_4820` `associate-*l/_binary64_4795`
1×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `pow-prod-down_binary64_4923` `div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `associate-r/_binary64_4794` `div-inv_binary64_4849` `-commutative_binary64_4783`

Counts

4 → 83

Calls

4 calls:

29.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (/.f64 1/3 a))
15.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
8.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 2366 to 1383 computations (41.5% saved)

series1.3s (6%)

Error

5.4b

Counts

4 → 68

Calls

4 calls:

378.0ms	(.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c))) b) (/.f64 1/3 a))
284.0ms	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
282.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
238.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 3077 to 2356 computations (23.4% saved)

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4965	3051
1	4965	3051

prune272.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	1	5	6
Picked	0	1	1
Done	1	0	1
Total	150	9	159

Error

5.4b

Counts

159 → 9

Compiler

Compiled 3142 to 1704 computations (45.8% saved)

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) a)
0.6b	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
0.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
26.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite304.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

38×	`add-sqr-sqrt_binary64_4874`
27×	`*-un-lft-identity_binary64_4852`
18×	`times-frac_binary64_4858`
17×	`add-cube-cbrt_binary64_4887`
10×	`difference-of-squares_binary64_4821`
8×	`add-log-exp_binary64_4891` `sqrt-prod_binary64_4868`
6×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `associate-/l*_binary64_4797`
5×	`pow1_binary64_4913` `distribute-lft-out--_binary64_4804`
4×	`flip3--_binary64_4856` `flip--_binary64_4827` `cancel-sign-sub-inv_binary64_4818`
3×	`associate-/r*_binary64_4796`
2×	`sqrt-div_binary64_4869` `diff-log_binary64_4944` `sub-neg_binary64_4845` `associate-/l/_binary64_4799`
1×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `div-exp_binary64_4903` `cbrt-undiv_binary64_4886` `frac-2neg_binary64_4863` `div-sub_binary64_4857` `clear-num_binary64_4851` `div-inv_binary64_4849`

Counts

4 → 86

Calls

4 calls:

24.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) a)
17.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
12.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
9.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))

Compiler

Compiled 2664 to 1434 computations (46.2% saved)

series1.3s (6.2%)

Error

5.4b

Counts

4 → 68

Calls

4 calls:

382.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b) a)
302.0ms	(-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))
275.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
249.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

Compiler

Compiled 3423 to 2691 computations (21.4% saved)

simplify157.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5126	3306

prune286.0ms (1.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	154	9	163

Error

5.4b

Counts

163 → 9

Compiler

Compiled 3643 to 2041 computations (44% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
0.9b	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
26.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))
26.2b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))

rewrite247.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

5.4b

Rules

18×	`add-sqr-sqrt_binary64_4874`
12×	`*-un-lft-identity_binary64_4852`
8×	`add-log-exp_binary64_4891` `add-cube-cbrt_binary64_4887` `sqrt-prod_binary64_4868`
6×	`pow1_binary64_4913` `cancel-sign-sub-inv_binary64_4818`
4×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `flip3--_binary64_4856` `sqrt-div_binary64_4869` `flip--_binary64_4827` `difference-of-squares_binary64_4821`
2×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870` `rem-sqrt-square_binary64_4865` `diff-log_binary64_4944` `sub-neg_binary64_4845` `distribute-lft-out--_binary64_4804`

Counts

4 → 64

Calls

4 calls:

14.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
14.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
8.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 2732 to 1506 computations (44.9% saved)

series1.3s (6%)

Error

5.4b

Counts

4 → 68

Calls

4 calls:

300.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c)))) b)
285.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))) b)
285.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (*.f64 a c))))
260.0ms	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c)))

Compiler

Compiled 5978 to 4100 computations (31.4% saved)

simplify106.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5128	2416

prune302.0ms (1.4%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	131	10	141

Error

5.4b

Counts

141 → 10

Compiler

Compiled 4540 to 2421 computations (46.7% saved)

regimes4.8s (22.7%)

Accuracy

Total 4.6b remaining (45.3%)

Threshold costs 0b (0%)

Compiler

Compiled 12991 to 9720 computations (25.2% saved)

bsearch105.0ms (0.5%)

Steps

Iters	Range		Point
5	2.7269124910168044e-74	1.0470807542764724e-73	1.0256547290587156e-73
9	-9.709253565025955e+61	-5.077602737930139e+53	-2.927344967182997e+61

Compiler

Compiled 1 to 3 computations (-200% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	109	59
1	109	59

end0.0ms (0%)

sample6.3s (29.6%)

Algorithm

1×

intervals

Results

580.0ms	1173×	body	2048	valid
500.0ms	5138×	body	128	valid
278.0ms	740×	body	1024	valid
240.0ms	405×	body	4096	valid
101.0ms	348×	body	512	valid
74.0ms	683×	body	128	nan
49.0ms	196×	body	256	valid
34.0ms	360×	body	128	invalid

Compiler

Compiled 2477 to 1854 computations (25.2% saved)

Details

analyze869.0ms (4.1%)

sample81.0ms (0.4%)

simplify677.0ms (3.2%)

prune12.0ms (0.1%)

localize19.0ms (0.1%)

rewrite266.0ms (1.3%)

series1.3s (6.2%)

simplify163.0ms (0.8%)

prune585.0ms (2.8%)

localize22.0ms (0.1%)

rewrite248.0ms (1.2%)

series1.3s (6%)

simplify106.0ms (0.5%)

prune272.0ms (1.3%)

localize26.0ms (0.1%)

rewrite304.0ms (1.4%)

series1.3s (6.2%)

simplify157.0ms (0.7%)

prune286.0ms (1.4%)

localize39.0ms (0.2%)

rewrite247.0ms (1.2%)

series1.3s (6%)

simplify106.0ms (0.5%)

prune302.0ms (1.4%)

regimes4.8s (22.7%)

bsearch105.0ms (0.5%)

simplify7.0ms (0%)

end0.0ms (0%)

sample6.3s (29.6%)

Profiling