Details

analyze255.0ms (4.9%)

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
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
28.1%	71.8%	0.1%	7
42.1%	57.7%	0.1%	8
43.7%	56.2%	0.1%	9
64.4%	35.5%	0.1%	10
71.6%	28.3%	0.1%	11
72.2%	27.7%	0.1%	12
81.6%	18.2%	0.2%	13
84.9%	14.9%	0.2%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample17.0ms (0.3%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	9×	body	128	invalid

Compiler

Compiled 25 to 20 computations (20% saved)

simplify61.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5317	16

prune4.0ms (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

Merged error: 0.8b

Counts

2 → 2

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
1.0b	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))

rewrite48.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

223×	`times-frac_binary64`
181×	`add-sqr-sqrt_binary64`
174×	`*-un-lft-identity_binary64`
86×	`add-cube-cbrt_binary64`
38×	`difference-of-squares_binary64`
25×	`distribute-lft-out_binary64`
21×	`associate-/l*_binary64`
19×	`distribute-lft-out--_binary64`
18×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
8×	`flip3-+_binary64` `flip-+_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `flip3--_binary64` `flip--_binary64`

Counts

2 → 182

Calls

2 calls:

16.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
8.0ms	(/.f64 v (+.f64 t1 u))

series186.0ms (3.6%)

Counts

2 → 6

Calls

2 calls:

131.0ms	(/.f64 (/.f64 v (+.f64 t1 u)) (-.f64 -1 (/.f64 u t1)))
55.0ms	(/.f64 v (+.f64 t1 u))

simplify94.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4977	5524
1	4977	5524

prune187.0ms (3.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	182	6	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	182	8	190

Merged error: 0.2b

Counts

190 → 8

Compiler

Compiled 4380 to 1506 computations (65.6% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 t1 u))
0.5b	(cbrt.f64 (+.f64 t1 u))
0.5b	(cbrt.f64 (+.f64 t1 u))
2.0b	(/.f64 (/.f64 v (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))

rewrite71.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

337×	`times-frac_binary64`
273×	`add-sqr-sqrt_binary64`
237×	`*-un-lft-identity_binary64`
133×	`add-cube-cbrt_binary64`
96×	`cbrt-prod_binary64`
56×	`difference-of-squares_binary64`
28×	`distribute-lft-out--_binary64`
27×	`associate-/l*_binary64`
24×	`distribute-lft-out_binary64`
20×	`cbrt-div_binary64`
16×	`associate-/r/_binary64`
10×	`flip3-+_binary64` `flip-+_binary64`
9×	`add-exp-log_binary64`
8×	`add-cbrt-cube_binary64` `div-inv_binary64`
6×	`associate-/r*_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`cbrt-undiv_binary64` `pow1/3_binary64` `div-exp_binary64`
1×	`associate-/l/_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64`

Counts

4 → 254

Calls

4 calls:

20.0ms	(/.f64 (/.f64 v (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
3.0ms	(cbrt.f64 (+.f64 t1 u))
3.0ms	(cbrt.f64 (+.f64 t1 u))
3.0ms	(cbrt.f64 (+.f64 t1 u))

series948.0ms (18.2%)

Counts

4 → 12

Calls

4 calls:

290.0ms	(/.f64 (/.f64 v (cbrt.f64 (+.f64 t1 u))) (-.f64 -1 (/.f64 u t1)))
223.0ms	(cbrt.f64 (+.f64 t1 u))
223.0ms	(cbrt.f64 (+.f64 t1 u))
211.0ms	(cbrt.f64 (+.f64 t1 u))

simplify123.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

266 → 266

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4952	9156
1	4952	9156

prune372.0ms (7.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	266	0	266
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	266	8	274

Merged error: 0.2b

Counts

274 → 8

Compiler

Compiled 10122 to 3132 computations (69.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 v (+.f64 t1 u))
0.9b	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
1.1b	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))

rewrite182.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Rules

1354×	`times-frac_binary64`
924×	`add-sqr-sqrt_binary64`
845×	`*-un-lft-identity_binary64`
469×	`add-cube-cbrt_binary64`
182×	`difference-of-squares_binary64`
135×	`associate-/r*_binary64`
97×	`distribute-lft-out_binary64`
91×	`distribute-lft-out--_binary64`
70×	`associate-/r/_binary64`
38×	`div-inv_binary64`
32×	`flip3-+_binary64` `flip-+_binary64`
25×	`add-exp-log_binary64`
19×	`add-cbrt-cube_binary64`
13×	`div-exp_binary64`
12×	`associate-/l*_binary64`
10×	`cbrt-undiv_binary64`
4×	`pow1_binary64`
3×	`add-log-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
2×	`associate-/l/_binary64`
1×	`flip3--_binary64` `div-sub_binary64` `inv-pow_binary64` `flip--_binary64` `pow-flip_binary64`

Counts

3 → 660

Calls

3 calls:

37.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
16.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
5.0ms	(/.f64 v (+.f64 t1 u))

series355.0ms (6.8%)

Counts

3 → 9

Calls

3 calls:

243.0ms	(/.f64 1 (/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u))))
61.0ms	(/.f64 (-.f64 -1 (/.f64 u t1)) (/.f64 v (+.f64 t1 u)))
51.0ms	(/.f64 v (+.f64 t1 u))

simplify208.0ms (4%)

Algorithm

1×	egg-herbie

Counts

669 → 669

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4984	23660
1	4984	23660

prune924.0ms (17.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	666	3	669
Fresh	4	1	5
Picked	1	0	1
Done	0	2	2
Total	671	6	677

Merged error: 0.2b

Counts

677 → 6

Compiler

Compiled 18329 to 7261 computations (60.4% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 u t1))
0.5b	(*.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (/.f64 1 (+.f64 u t1)))
2.8b	(/.f64 v (-.f64 -1 (/.f64 u t1)))

rewrite57.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`add-sqr-sqrt_binary64`
74×	`times-frac_binary64`
71×	`*-un-lft-identity_binary64`
41×	`add-cube-cbrt_binary64`
25×	`add-exp-log_binary64`
24×	`associate-l_binary64`
19×	`add-cbrt-cube_binary64`
18×	`associate-r_binary64`
14×	`difference-of-squares_binary64`
10×	`associate-/r*_binary64`
8×	`associate-/r/_binary64`
7×	`distribute-lft-out_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
6×	`pow1_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-/l*_binary64`
4×	`cbrt-unprod_binary64` `div-inv_binary64`
3×	`add-log-exp_binary64` `rec-exp_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-r/_binary64` `inv-pow_binary64` `un-div-inv_binary64` `pow-flip_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 148

Calls

3 calls:

27.0ms	(*.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (/.f64 1 (+.f64 u t1)))
9.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
5.0ms	(/.f64 1 (+.f64 u t1))

series226.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

131.0ms	(*.f64 (/.f64 v (-.f64 -1 (/.f64 u t1))) (/.f64 1 (+.f64 u t1)))
57.0ms	(/.f64 v (-.f64 -1 (/.f64 u t1)))
37.0ms	(/.f64 1 (+.f64 u t1))

simplify90.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4953	2648
1	4953	2648

prune134.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	157	6	163

Merged error: 0.2b

Counts

163 → 6

Compiler

Compiled 3011 to 1419 computations (52.9% saved)

regimes45.0ms (0.9%)

Compiler: Compiled 297 to 231 computations (22.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

end0.0ms (0%)

sample582.0ms (11.2%)

Algorithm

1×

intervals

Results

271.0ms	8000×	body	128	valid
8.0ms	250×	body	128	invalid

Compiler

Compiled 123 to 94 computations (23.6% saved)

Details

analyze255.0ms (4.9%)

sample17.0ms (0.3%)

simplify61.0ms (1.2%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite48.0ms (0.9%)

series186.0ms (3.6%)

simplify94.0ms (1.8%)

prune187.0ms (3.6%)

localize15.0ms (0.3%)

rewrite71.0ms (1.4%)

series948.0ms (18.2%)

simplify123.0ms (2.4%)

prune372.0ms (7.1%)

localize9.0ms (0.2%)

rewrite182.0ms (3.5%)

series355.0ms (6.8%)

simplify208.0ms (4%)

prune924.0ms (17.7%)

localize9.0ms (0.2%)

rewrite57.0ms (1.1%)

series226.0ms (4.3%)

simplify90.0ms (1.7%)

prune134.0ms (2.6%)

regimes45.0ms (0.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample582.0ms (11.2%)

Profiling