Details

analyze994.0ms (13.4%)

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

Symmetry

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample42.0ms (0.6%)

Algorithm

1×

intervals

Results

8.0ms	38×	body	2048	valid
7.0ms	155×	body	128	valid
4.0ms	15×	body	4096	valid
3.0ms	22×	body	1024	valid
2.0ms	19×	body	512	valid
1.0ms	32×	body	128	nan
1.0ms	7×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 27 to 24 computations (11.1% saved)

simplify72.0ms (1%)

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

38.4b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize10.0ms (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)
0.8b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
1.8b	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
26.1b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite140.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

38.1b

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)

series609.0ms (8.2%)

Error

6.6b

Counts

4 → 66

Calls

4 calls:

162.0ms	(/.f64 (-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2) a)
139.0ms	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
134.0ms	(-.f64 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) b_2)
124.0ms	(-.f64 (.f64 b_2 b_2) (.f64 a c))

Compiler

Compiled 2497 to 1781 computations (28.7% saved)

simplify93.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4947	2865
1	4947	2865

prune122.0ms (1.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	140	12	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	141	12	153

Error

6.5b

Counts

153 → 12

Compiler

Compiled 2750 to 608 computations (77.9% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 -1/2 (/.f64 c b_2))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

14×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`times-frac_binary64`
9×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`pow1_binary64` `associate-l_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64`
1×	`pow-prod-down_binary64` `div-exp_binary64` `add-log-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

1 → 32

Calls

1 calls:

7.0ms

(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 373 to 195 computations (47.7% saved)

series62.0ms (0.8%)

Error

6.5b

Counts

1 → 6

Calls

1 calls:

59.0ms

(*.f64 -1/2 (/.f64 c b_2))

Compiler

Compiled 90 to 88 computations (2.2% saved)

simplify98.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5015	369

prune39.0ms (0.5%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	32	6	38
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	34	16	50

Error

6.5b

Counts

50 → 16

Compiler

Compiled 606 to 339 computations (44.1% saved)

localize3.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 6.5b
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

prune14.0ms (0.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	15	15
Picked	1	1
Done	0	0
Total	16	16

Error

6.5b

Counts

16 → 16

Compiler

Compiled 245 to 158 computations (35.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c b_2))) (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))
15.0b	(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
15.0b	(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
15.0b	(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))

rewrite102.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

6.5b

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`add-cube-cbrt_binary64` `associate-r/_binary64` `-un-lft-identity_binary64`
7×	`cbrt-div_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `swap-sqr_binary64` `associate-l_binary64` `associate-r_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `prod-exp_binary64` `cbrt-unprod_binary64` `frac-times_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

5.0ms	(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c b_2))) (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))
4.0ms	(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
4.0ms	(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
4.0ms	(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))

Compiler

Compiled 1640 to 964 computations (41.2% saved)

series1.1s (14.5%)

Error

6.5b

Counts

4 → 24

Calls

4 calls:

326.0ms	(.f64 (cbrt.f64 (.f64 -1/2 (/.f64 c b_2))) (cbrt.f64 (*.f64 -1/2 (/.f64 c b_2))))
252.0ms	(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
236.0ms	(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))
228.0ms	(cbrt.f64 (*.f64 -1/2 (/.f64 c b_2)))

Compiler

Compiled 1950 to 1607 computations (17.6% saved)

simplify148.0ms (2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4945	1007
1	4945	1007

prune96.0ms (1.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	3	11	14
Picked	1	0	1
Done	0	1	1
Total	89	15	104

Error

6.5b

Counts

104 → 15

Compiler

Compiled 1861 to 1109 computations (40.4% saved)

regimes1.2s (16%)

Accuracy

Total 4.4b remaining (44.6%)

Threshold costs 0b (0%)

Compiler

Compiled 6612 to 4158 computations (37.1% saved)

bsearch73.0ms (1%)

Steps

Iters	Range		Point
10	7.990626957139287e-77	4.0397630464544644e-65	9.160409405338443e-70
10	-2.7259941391843918e+116	-4.198478376406973e+106	-5.747904476093003e+113

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	53
1	90	53

Removed

()

end0.0ms (0%)

sample2.4s (32%)

Algorithm

1×

intervals

Results

234.0ms	1140×	body	2048	valid
233.0ms	5154×	body	128	valid
122.0ms	758×	body	1024	valid
98.0ms	395×	body	4096	valid
42.0ms	365×	body	512	valid
35.0ms	799×	body	128	nan
15.0ms	188×	body	256	valid
11.0ms	252×	body	128	invalid

Compiler

Compiled 1695 to 1069 computations (36.9% saved)

Details

analyze994.0ms (13.4%)

sample42.0ms (0.6%)

simplify72.0ms (1%)

prune7.0ms (0.1%)

localize10.0ms (0.1%)

rewrite140.0ms (1.9%)

series609.0ms (8.2%)

simplify93.0ms (1.2%)

prune122.0ms (1.7%)

localize4.0ms (0%)

rewrite32.0ms (0.4%)

series62.0ms (0.8%)

simplify98.0ms (1.3%)

prune39.0ms (0.5%)

localize3.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune14.0ms (0.2%)

localize8.0ms (0.1%)

rewrite102.0ms (1.4%)

series1.1s (14.5%)

simplify148.0ms (2%)

prune96.0ms (1.3%)

regimes1.2s (16%)

bsearch73.0ms (1%)

simplify4.0ms (0%)

end0.0ms (0%)

sample2.4s (32%)

Profiling