Details

analyze431.0ms (10.1%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4768	26
1	4768	26
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	5
50%	50%	0.1%	6
50%	50%	0.1%	6
68.7%	31.2%	0.1%	7
68.7%	31.2%	0.1%	7
81.2%	18.7%	0.1%	8
81.2%	18.7%	0.1%	8
89%	10.9%	0.1%	9
89%	10.9%	0.1%	9
92.1%	7.8%	0.1%	10
92.1%	7.8%	0.1%	10
95.6%	4.3%	0.1%	11
95.6%	4.3%	0.1%	11
96.4%	3.5%	0.1%	12
96.4%	3.5%	0.1%	12
98%	1.9%	0.1%	13
98%	1.9%	0.1%	13
98.2%	1.7%	0.1%	14
98.2%	1.7%	0.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample94.0ms (2.2%)

Algorithm

2×

intervals

Results

14.0ms

512×

body

128

valid

Compiler

Compiled 2589 to 2587 computations (0.1% saved)

simplify135.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (127.0ms)

Iter	Nodes	Cost
0	4853	13
1	4853	13

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

16.2b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

15.7b

(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

rewrite43.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

10×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
7×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718`
5×	`times-frac_binary64_13724` `associate-/r*_binary64_13662`
3×	`prod-exp_binary64_13767` `div-exp_binary64_13769` `add-cube-cbrt_binary64_13753` `cbrt-undiv_binary64_13752` `cbrt-unprod_binary64_13751`
2×	`difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670` `associate-/r/_binary64_13664`
1×	`pow1_binary64_13779` `add-log-exp_binary64_13757` `frac-2neg_binary64_13729` `clear-num_binary64_13717` `div-inv_binary64_13715` `flip3--_binary64_13722` `flip--_binary64_13693` `associate-/l*_binary64_13663`

Counts

1 → 29

Calls

1 calls:

9.0ms

(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

Compiler

Compiled 488 to 232 computations (52.5% saved)

series139.0ms (3.2%)

Error

0.7b

Counts

1 → 15

Calls

1 calls:

126.0ms

(/.f64 (*.f64 (*.f64 x 2) y) (-.f64 x y))

Compiler

Compiled 459 to 389 computations (15.3% saved)

simplify47.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5019	634

prune39.0ms (0.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	40	4	44
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	4	45

Error

Counts

45 → 4

Compiler

Compiled 563 to 274 computations (51.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 y (-.f64 x y))
5.8b	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))

rewrite88.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

35×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718`
30×	`times-frac_binary64_13724`
21×	`add-cube-cbrt_binary64_13753` `associate-r_binary64_13658`
16×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
7×	`pow1_binary64_13779` `difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670`
6×	`prod-exp_binary64_13767` `cbrt-unprod_binary64_13751`
5×	`associate-/r*_binary64_13662`
4×	`associate-/r/_binary64_13664`
3×	`pow-prod-down_binary64_13789` `div-exp_binary64_13769` `cbrt-undiv_binary64_13752` `associate-/l*_binary64_13663`
2×	`add-log-exp_binary64_13757` `div-inv_binary64_13715` `flip3--_binary64_13722` `flip--_binary64_13693`
1×	`associate-r/_binary64_13660` `associate-l_binary64_13659` `-commutative_binary64_13649` `frac-2neg_binary64_13729` `clear-num_binary64_13717`

Counts

2 → 78

Calls

2 calls:

11.0ms	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
5.0ms	(/.f64 y (-.f64 x y))

Compiler

Compiled 1357 to 488 computations (64% saved)

series225.0ms (5.2%)

Error

Counts

2 → 30

Calls

2 calls:

116.0ms	(.f64 (.f64 x 2) (/.f64 y (-.f64 x y)))
88.0ms	(/.f64 y (-.f64 x y))

Compiler

Compiled 966 to 772 computations (20.1% saved)

simplify68.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4972	1451
1	4972	1451

prune79.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	108	4	112

Error

Counts

112 → 4

Compiler

Compiled 1511 to 574 computations (62% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 x y) y)
5.8b	(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))

rewrite108.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

64×	`times-frac_binary64_13724`
50×	`add-sqr-sqrt_binary64_13740` `*-un-lft-identity_binary64_13718`
30×	`add-cube-cbrt_binary64_13753`
22×	`associate-/r*_binary64_13662`
16×	`add-exp-log_binary64_13756` `add-cbrt-cube_binary64_13754`
10×	`difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670`
7×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752`
6×	`associate-/l*_binary64_13663`
4×	`div-inv_binary64_13715`
2×	`pow1_binary64_13779` `prod-exp_binary64_13767` `add-log-exp_binary64_13757` `cbrt-unprod_binary64_13751` `frac-2neg_binary64_13729` `clear-num_binary64_13717` `associate-/l/_binary64_13665`
1×	`associate-/r/_binary64_13664` `div-sub_binary64_13723` `flip3--_binary64_13722` `flip--_binary64_13693`

Counts

2 → 96

Calls

2 calls:

9.0ms	(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
8.0ms	(/.f64 (-.f64 x y) y)

Compiler

Compiled 1678 to 580 computations (65.4% saved)

series239.0ms (5.6%)

Error

Counts

2 → 27

Calls

2 calls:

116.0ms	(/.f64 (*.f64 x 2) (/.f64 (-.f64 x y) y))
106.0ms	(/.f64 (-.f64 x y) y)

Compiler

Compiled 693 to 573 computations (17.3% saved)

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	6033	1815

prune96.0ms (2.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 1724 to 693 computations (59.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (-.f64 x y))
0.6b	(cbrt.f64 (-.f64 x y))
4.4b	(.f64 (/.f64 (.f64 x 2) (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) y)
5.0b	(/.f64 (.f64 (/.f64 (.f64 x 2) (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) y) (cbrt.f64 (-.f64 x y)))

rewrite184.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`add-exp-log_binary64_13756`
33×	`add-cbrt-cube_binary64_13754`
22×	`add-sqr-sqrt_binary64_13740`
20×	`cbrt-prod_binary64_13749` `*-un-lft-identity_binary64_13718`
18×	`prod-exp_binary64_13767` `cbrt-unprod_binary64_13751` `cbrt-div_binary64_13750`
14×	`div-exp_binary64_13769` `cbrt-undiv_binary64_13752`
13×	`associate-l_binary64_13659`
12×	`add-cube-cbrt_binary64_13753`
10×	`associate-/r/_binary64_13664`
9×	`times-frac_binary64_13724` `flip3--_binary64_13722` `flip--_binary64_13693`
8×	`associate-/r*_binary64_13662`
6×	`pow1_binary64_13779`
4×	`add-log-exp_binary64_13757` `difference-of-squares_binary64_13687` `distribute-lft-out--_binary64_13670` `associate-*l/_binary64_13661` `frac-times_binary64_13728`
3×	`associate-r_binary64_13658`
2×	`div-inv_binary64_13715` `associate-*r/_binary64_13660` `pow1/3_binary64_13800`
1×	`frac-2neg_binary64_13729` `clear-num_binary64_13717` `associate-/l/_binary64_13665` `associate-/l_binary64_13663` `pow-prod-down_binary64_13789` `unswap-sqr_binary64_13686` `-commutative_binary64_13649`

Counts

4 → 109

Calls

4 calls:

19.0ms	(/.f64 (.f64 (/.f64 (.f64 x 2) (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) y) (cbrt.f64 (-.f64 x y)))
17.0ms	(.f64 (/.f64 (.f64 x 2) (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) y)
3.0ms	(cbrt.f64 (-.f64 x y))
3.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 3302 to 956 computations (71% saved)

series848.0ms (19.8%)

Error

Counts

4 → 49

Calls

4 calls:

309.0ms	(.f64 (/.f64 (.f64 x 2) (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) y)
190.0ms	(/.f64 (.f64 (/.f64 (.f64 x 2) (*.f64 (cbrt.f64 (-.f64 x y)) (cbrt.f64 (-.f64 x y)))) y) (cbrt.f64 (-.f64 x y)))
151.0ms	(cbrt.f64 (-.f64 x y))
140.0ms	(cbrt.f64 (-.f64 x y))

Compiler

Compiled 3039 to 2239 computations (26.3% saved)

simplify93.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4937	2753
1	4937	2753

prune155.0ms (3.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	158	4	162

Error

Counts

162 → 4

Compiler

Compiled 3409 to 1320 computations (61.3% saved)

regimes200.0ms (4.7%)

Accuracy

Total 3.9b remaining (99.9%)

Threshold costs 0b (0%)

Compiler

Compiled 1070 to 773 computations (27.8% saved)

bsearch33.0ms (0.8%)

Steps

Iters	Range		Point
6	7.065920138595936e-184	3.590140378067176e-183	2.068588027991875e-183
9	-4.757826655725658e-112	-1.0513517341506634e-118	-1.9395487420113406e-117

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	54
1	39	54

end0.0ms (0%)

sample842.0ms (19.7%)

Algorithm

1×

intervals

Results

227.0ms

8000×

body

128

valid

Compiler

Compiled 391 to 279 computations (28.6% saved)

Details

analyze431.0ms (10.1%)

sample94.0ms (2.2%)

simplify135.0ms (3.2%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite43.0ms (1%)

series139.0ms (3.2%)

simplify47.0ms (1.1%)

prune39.0ms (0.9%)

localize6.0ms (0.1%)

rewrite88.0ms (2.1%)

series225.0ms (5.2%)

simplify68.0ms (1.6%)

prune79.0ms (1.9%)

localize6.0ms (0.1%)

rewrite108.0ms (2.5%)

series239.0ms (5.6%)

simplify63.0ms (1.5%)

prune96.0ms (2.3%)

localize9.0ms (0.2%)

rewrite184.0ms (4.3%)

series848.0ms (19.8%)

simplify93.0ms (2.2%)

prune155.0ms (3.6%)

regimes200.0ms (4.7%)

bsearch33.0ms (0.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample842.0ms (19.7%)

Profiling