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

5.0ms	62×	body	512	valid
4.0ms	147×	body	128	valid
2.0ms	37×	body	256	valid
1.0ms	10×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify102.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune3.0ms (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

13.0b

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))
4.1b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite274.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

11.9b

Rules

118×	`*-un-lft-identity_binary64_3147`
95×	`add-sqr-sqrt_binary64_3169`
90×	`times-frac_binary64_3153`
43×	`add-cube-cbrt_binary64_3182`
30×	`distribute-lft-out--_binary64_3099`
27×	`cancel-sign-sub-inv_binary64_3113`
23×	`difference-of-squares_binary64_3116`
11×	`add-exp-log_binary64_3185` `associate-/r*_binary64_3091`
10×	`distribute-lft-out_binary64_3098`
8×	`associate-/r/_binary64_3093`
7×	`add-cbrt-cube_binary64_3183` `difference-of-sqr-1_binary64_3117` `div-inv_binary64_3144`
6×	`associate-/l*_binary64_3092`
5×	`add-log-exp_binary64_3186` `pow1_binary64_3208`
4×	`flip--_binary64_3122` `div-exp_binary64_3198`
3×	`flip3--_binary64_3151`
2×	`flip-+_binary64_3121` `inv-pow_binary64_3232` `pow-flip_binary64_3221` `1-exp_binary64_3191` `rec-exp_binary64_3197` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146`
1×	`diff-log_binary64_3239` `frac-sub_binary64_3156` `sub-neg_binary64_3140` `flip3-+_binary64_3150`

Counts

3 → 151

Calls

3 calls:

38.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 2962 to 2486 computations (16.1% saved)

series133.0ms (2.9%)

Error

0.3b

Counts

3 → 28

Calls

3 calls:

51.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
31.0ms	(/.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 (62.0ms)

Iter	Nodes	Cost
0	5594	2545

prune176.0ms (3.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	2	180

Error

0.3b

Counts

180 → 2

Compiler

Compiled 2861 to 2312 computations (19.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(/.f64 -2 (+.f64 (*.f64 x x) -1))

rewrite41.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`times-frac_binary64_3153`
10×	`add-cube-cbrt_binary64_3182` `add-sqr-sqrt_binary64_3169` `*-un-lft-identity_binary64_3147`
4×	`difference-of-sqr--1_binary64_3118` `associate-/r*_binary64_3091`
3×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-/l*_binary64_3092`
2×	`associate-/r/_binary64_3093`
1×	`pow1_binary64_3208` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `cbrt-undiv_binary64_3181` `frac-2neg_binary64_3158` `clear-num_binary64_3146` `div-inv_binary64_3144` `flip3-+_binary64_3150` `flip-+_binary64_3121`

Counts

1 → 33

Calls

1 calls:

6.0ms

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

Compiler

Compiled 518 to 352 computations (32% saved)

series44.0ms (0.9%)

Error

0.3b

Counts

1 → 8

Calls

1 calls:

38.0ms

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

Compiler

Compiled 212 to 193 computations (9% saved)

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4976	645
1	4976	645

prune45.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	36	5	41
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	37	6	43

Error

Counts

43 → 6

Compiler

Compiled 617 to 428 computations (30.6% saved)

localize6.0ms (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))

rewrite288.0ms (6.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

234×	`times-frac_binary64_3153`
207×	`*-un-lft-identity_binary64_3147`
170×	`add-sqr-sqrt_binary64_3169`
94×	`add-cube-cbrt_binary64_3182`
38×	`difference-of-squares_binary64_3116`
28×	`distribute-lft-out_binary64_3098`
21×	`associate-/l*_binary64_3092`
20×	`associate-/r/_binary64_3093`
19×	`difference-of-sqr-1_binary64_3117` `distribute-lft-out--_binary64_3099`
11×	`associate-/r*_binary64_3091`
10×	`div-inv_binary64_3144`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `flip-+_binary64_3121`
4×	`div-exp_binary64_3198` `cbrt-undiv_binary64_3181`
2×	`pow1_binary64_3208` `add-log-exp_binary64_3186` `frac-2neg_binary64_3158` `clear-num_binary64_3146`
1×	`associate-/l/_binary64_3094` `flip3--_binary64_3151` `flip--_binary64_3122`

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)

series88.0ms (1.9%)

Error

Counts

2 → 18

Calls

2 calls:

42.0ms	(/.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)

simplify96.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

219 → 219

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5012	5205

prune257.0ms (5.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	219	0	219
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	219	6	225

Error

Counts

225 → 6

Compiler

Compiled 4098 to 3173 computations (22.6% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite203.0ms (4.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

69×	`*-un-lft-identity_binary64_3147`
63×	`add-sqr-sqrt_binary64_3169`
61×	`times-frac_binary64_3153`
39×	`add-cube-cbrt_binary64_3182`
31×	`add-exp-log_binary64_3185`
21×	`associate-r_binary64_3087`
19×	`add-cbrt-cube_binary64_3183`
18×	`associate-l_binary64_3088`
14×	`distribute-lft-out_binary64_3098`
11×	`div-exp_binary64_3198`
9×	`associate-/r*_binary64_3091`
8×	`prod-exp_binary64_3196` `associate-/r/_binary64_3093`
7×	`difference-of-sqr--1_binary64_3118`
6×	`pow1_binary64_3208` `cbrt-undiv_binary64_3181` `unswap-sqr_binary64_3115` `associate-/l*_binary64_3092`
4×	`cbrt-unprod_binary64_3180` `div-inv_binary64_3144` `flip3-+_binary64_3150` `flip-+_binary64_3121`
3×	`1-exp_binary64_3191` `rec-exp_binary64_3197` `add-log-exp_binary64_3186`
2×	`frac-2neg_binary64_3158` `clear-num_binary64_3146`
1×	`pow-prod-down_binary64_3218` `frac-times_binary64_3157` `associate-l/_binary64_3090` `associate-r/_binary64_3089` `*-commutative_binary64_3078` `inv-pow_binary64_3232` `pow-flip_binary64_3221`

Counts

3 → 143

Calls

3 calls:

23.0ms	(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))
5.0ms	(/.f64 1 (+.f64 x 1))
5.0ms	(/.f64 -2 (+.f64 x -1))

Compiler

Compiled 2765 to 2333 computations (15.6% saved)

series130.0ms (2.8%)

Error

Counts

3 → 28

Calls

3 calls:

45.0ms	(*.f64 (/.f64 1 (+.f64 x 1)) (/.f64 -2 (+.f64 x -1)))
33.0ms	(/.f64 -2 (+.f64 x -1))
29.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 954 to 827 computations (13.3% saved)

simplify85.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

171 → 171

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5084	2305

prune164.0ms (3.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	171	0	171
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	171	6	177

Error

Counts

177 → 6

Compiler

Compiled 2658 to 2121 computations (20.2% saved)

regimes261.0ms (5.7%)

Accuracy

Total 0.1b remaining (91.7%)

Threshold costs 0.1b (91.7%)

Compiler

Compiled 3192 to 2748 computations (13.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample2.0s (44.1%)

Algorithm

1×

intervals

Results

155.0ms	2009×	body	512	valid
135.0ms	4571×	body	128	valid
57.0ms	1029×	body	256	valid
39.0ms	391×	body	1024	valid

Compiler

Compiled 1551 to 1335 computations (13.9% saved)

Details

analyze4.0ms (0.1%)

sample19.0ms (0.4%)

simplify102.0ms (2.2%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite274.0ms (5.9%)

series133.0ms (2.9%)

simplify91.0ms (2%)

prune176.0ms (3.8%)

localize5.0ms (0.1%)

rewrite41.0ms (0.9%)

series44.0ms (0.9%)

simplify52.0ms (1.1%)

prune45.0ms (1%)

localize6.0ms (0.1%)

rewrite288.0ms (6.2%)

series88.0ms (1.9%)

simplify96.0ms (2.1%)

prune257.0ms (5.6%)

localize7.0ms (0.1%)

rewrite203.0ms (4.4%)

series130.0ms (2.8%)

simplify85.0ms (1.8%)

prune164.0ms (3.6%)

regimes261.0ms (5.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.0s (44.1%)

Profiling