Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample19.0ms (0.4%)

Algorithm

1×

intervals

Results

4.0ms	159×	body	128	valid
4.0ms	50×	body	512	valid
2.0ms	35×	body	256	valid
1.0ms	12×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify108.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

13.7b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
2.6b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite276.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

118×	`*-un-lft-identity_binary64_2124`
95×	`add-sqr-sqrt_binary64_2146`
90×	`times-frac_binary64_2130`
43×	`add-cube-cbrt_binary64_2159`
30×	`distribute-lft-out--_binary64_2076`
27×	`cancel-sign-sub-inv_binary64_2090`
23×	`difference-of-squares_binary64_2093`
11×	`add-exp-log_binary64_2162` `associate-/r*_binary64_2068`
10×	`distribute-lft-out_binary64_2075`
8×	`associate-/r/_binary64_2070`
7×	`add-cbrt-cube_binary64_2160` `difference-of-sqr-1_binary64_2094` `div-inv_binary64_2121`
6×	`associate-/l*_binary64_2069`
5×	`add-log-exp_binary64_2163` `pow1_binary64_2185`
4×	`flip--_binary64_2099` `div-exp_binary64_2175`
3×	`flip3--_binary64_2128`
2×	`flip-+_binary64_2098` `inv-pow_binary64_2209` `pow-flip_binary64_2198` `1-exp_binary64_2168` `rec-exp_binary64_2174` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`diff-log_binary64_2216` `frac-sub_binary64_2133` `sub-neg_binary64_2117` `flip3-+_binary64_2127`

Counts

3 → 151

Calls

3 calls:

35.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
9.0ms	(/.f64 1 (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 2962 to 2486 computations (16.1% saved)

series140.0ms (3%)

Error

0.7b

Counts

3 → 28

Calls

3 calls:

58.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
29.0ms	(/.f64 1 (-.f64 x 1))
28.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 870 to 743 computations (14.6% saved)

simplify91.0ms (2%)

Algorithm

1×	egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5594	2545

prune180.0ms (3.9%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	179	1	180

Error

0.7b

Counts

180 → 1

Compiler

Compiled 2861 to 2312 computations (19.2% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x x) -1)
0.7b	(/.f64 -2 (+.f64 (*.f64 x x) -1))

rewrite61.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`times-frac_binary64_2130`
11×	`add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
5×	`difference-of-sqr--1_binary64_2095`
4×	`add-exp-log_binary64_2162` `add-log-exp_binary64_2163` `add-cbrt-cube_binary64_2160` `associate-/r*_binary64_2068`
3×	`associate-/l*_binary64_2069`
2×	`pow1_binary64_2185` `flip3-+_binary64_2127` `associate-/r/_binary64_2070` `flip-+_binary64_2098`
1×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `sum-log_binary64_2215` `+-commutative_binary64_2054`

Counts

2 → 45

Calls

2 calls:

7.0ms	(/.f64 -2 (+.f64 (*.f64 x x) -1))
4.0ms	(+.f64 (*.f64 x x) -1)

Compiler

Compiled 685 to 452 computations (34% saved)

series81.0ms (1.7%)

Error

0.7b

Counts

2 → 14

Calls

2 calls:

36.0ms	(+.f64 (*.f64 x x) -1)
36.0ms	(/.f64 -2 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 301 to 278 computations (7.6% saved)

simplify60.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5425	801

prune52.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	56	3	59
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	4	60

Error

Counts

60 → 4

Compiler

Compiled 746 to 504 computations (32.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 -2 (+.f64 x 1))
0.1b	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))

rewrite298.0ms (6.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

234×	`times-frac_binary64_2130`
207×	`*-un-lft-identity_binary64_2124`
170×	`add-sqr-sqrt_binary64_2146`
94×	`add-cube-cbrt_binary64_2159`
38×	`difference-of-squares_binary64_2093`
28×	`distribute-lft-out_binary64_2075`
21×	`associate-/l*_binary64_2069`
20×	`associate-/r/_binary64_2070`
19×	`difference-of-sqr-1_binary64_2094` `distribute-lft-out--_binary64_2076`
11×	`associate-/r*_binary64_2068`
10×	`div-inv_binary64_2121`
9×	`add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3-+_binary64_2127` `flip-+_binary64_2098`
4×	`div-exp_binary64_2175` `cbrt-undiv_binary64_2158`
2×	`pow1_binary64_2185` `add-log-exp_binary64_2163` `frac-2neg_binary64_2135` `clear-num_binary64_2123`
1×	`associate-/l/_binary64_2071` `flip3--_binary64_2128` `flip--_binary64_2099`

Counts

2 → 201

Calls

2 calls:

13.0ms	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))
5.0ms	(/.f64 -2 (+.f64 x 1))

Compiler

Compiled 4298 to 3468 computations (19.3% saved)

series91.0ms (1.9%)

Error

Counts

2 → 18

Calls

2 calls:

46.0ms	(/.f64 (/.f64 -2 (+.f64 x 1)) (-.f64 x 1))
31.0ms	(/.f64 -2 (+.f64 x 1))

Compiler

Compiled 574 to 501 computations (12.7% saved)

simplify93.0ms (2%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5012	5205

prune253.0ms (5.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	219	4	223

Error

Counts

223 → 4

Compiler

Compiled 4055 to 3139 computations (22.6% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.7b	(/.f64 -2 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x x) -1)) (cbrt.f64 (+.f64 (.f64 x x) -1))) (cbrt.f64 (+.f64 (*.f64 x x) -1))))
14.2b	(cbrt.f64 (+.f64 (*.f64 x x) -1))
14.2b	(cbrt.f64 (+.f64 (*.f64 x x) -1))
14.2b	(cbrt.f64 (+.f64 (*.f64 x x) -1))

rewrite195.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

60×	`cbrt-div_binary64_2156`
30×	`flip3-+_binary64_2127` `flip-+_binary64_2098`
28×	`frac-times_binary64_2134`
26×	`associate-/r/_binary64_2070`
14×	`associate-*l/_binary64_2067`
13×	`add-exp-log_binary64_2162`
12×	`cbrt-prod_binary64_2155`
9×	`add-cbrt-cube_binary64_2160` `add-cube-cbrt_binary64_2159` `add-sqr-sqrt_binary64_2146` `*-un-lft-identity_binary64_2124`
8×	`associate-*r/_binary64_2066`
4×	`pow1_binary64_2185` `add-log-exp_binary64_2163`
3×	`pow1/3_binary64_2206` `difference-of-sqr--1_binary64_2095` `prod-exp_binary64_2173` `div-exp_binary64_2175` `cbrt-undiv_binary64_2158` `cbrt-unprod_binary64_2157` `times-frac_binary64_2130` `associate-/l*_binary64_2069`
1×	`frac-2neg_binary64_2135` `clear-num_binary64_2123` `div-inv_binary64_2121` `associate-/r*_binary64_2068`

Counts

4 → 91

Calls

4 calls:

22.0ms	(/.f64 -2 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x x) -1)) (cbrt.f64 (+.f64 (.f64 x x) -1))) (cbrt.f64 (+.f64 (*.f64 x x) -1))))
5.0ms	(cbrt.f64 (+.f64 (*.f64 x x) -1))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x x) -1))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 3579 to 2109 computations (41.1% saved)

series229.0ms (4.9%)

Error

Counts

4 → 23

Calls

4 calls:

56.0ms	(cbrt.f64 (+.f64 (*.f64 x x) -1))
56.0ms	(cbrt.f64 (+.f64 (*.f64 x x) -1))
51.0ms	(cbrt.f64 (+.f64 (*.f64 x x) -1))
42.0ms	(/.f64 -2 (.f64 (.f64 (cbrt.f64 (+.f64 (.f64 x x) -1)) (cbrt.f64 (+.f64 (.f64 x x) -1))) (cbrt.f64 (+.f64 (*.f64 x x) -1))))

Compiler

Compiled 1283 to 1022 computations (20.3% saved)

simplify80.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5023	1987

prune143.0ms (3.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	114	4	118

Error

Counts

118 → 4

Compiler

Compiled 3103 to 1952 computations (37.1% saved)

regimes241.0ms (5.2%)

Accuracy

Total 0.1b remaining (93.8%)

Threshold costs 0.1b (93.8%)

Compiler

Compiled 3040 to 2600 computations (14.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	13
1	19	13

end0.0ms (0%)

sample1.9s (41.6%)

Algorithm

1×

intervals

Results

148.0ms	1885×	body	512	valid
137.0ms	4648×	body	128	valid
59.0ms	1036×	body	256	valid
48.0ms	431×	body	1024	valid

Compiler

Compiled 1475 to 1261 computations (14.5% saved)

Details

analyze4.0ms (0.1%)

sample19.0ms (0.4%)

simplify108.0ms (2.3%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite276.0ms (5.9%)

series140.0ms (3%)

simplify91.0ms (2%)

prune180.0ms (3.9%)

localize4.0ms (0.1%)

rewrite61.0ms (1.3%)

series81.0ms (1.7%)

simplify60.0ms (1.3%)

prune52.0ms (1.1%)

localize5.0ms (0.1%)

rewrite298.0ms (6.4%)

series91.0ms (1.9%)

simplify93.0ms (2%)

prune253.0ms (5.4%)

localize11.0ms (0.2%)

rewrite195.0ms (4.2%)

series229.0ms (4.9%)

simplify80.0ms (1.7%)

prune143.0ms (3.1%)

regimes241.0ms (5.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.9s (41.6%)

Profiling