Details

analyze1.2s (17.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5146	209
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0.4%	99.4%	0.2%	10
5.6%	94.2%	0.2%	11
7.1%	92.7%	0.2%	12
8.8%	91%	0.2%	13
15.6%	84.2%	0.2%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample29.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 27 to 30 computations (-11.1% saved)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4869	19
1	4869	19

prune2.0ms (0%)

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

2.2b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 (-.f64 t z) 1) a)
10.7b	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))

rewrite52.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

236×	`*-un-lft-identity_binary64_13036`
200×	`times-frac_binary64_13042`
126×	`add-sqr-sqrt_binary64_13058`
86×	`add-cube-cbrt_binary64_13071`
44×	`distribute-lft-out_binary64_12987`
42×	`distribute-lft-out--_binary64_12988`
22×	`associate-/r*_binary64_12980`
20×	`difference-of-squares_binary64_13005`
10×	`associate-/l*_binary64_12981`
9×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
8×	`div-inv_binary64_13033`
4×	`cbrt-undiv_binary64_13070` `div-exp_binary64_13087` `associate-/l/_binary64_12983`
2×	`clear-num_binary64_13035` `div-sub_binary64_13041` `add-log-exp_binary64_13075` `pow1_binary64_13097` `frac-2neg_binary64_13047`
1×	`flip--_binary64_13011` `associate-/r/_binary64_12982` `flip3--_binary64_13040` `flip3-+_binary64_13039` `flip-+_binary64_13010` `associate-+l-_binary64_12971`

Counts

2 → 175

Calls

2 calls:

16.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
10.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

series162.0ms (2.3%)

Counts

2 → 6

Calls

2 calls:

138.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
24.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

simplify92.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	6234	4859

prune196.0ms (2.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	177	4	181
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	177	5	182

Error

Counts

182 → 5

Compiler

Compiled 4236 to 1686 computations (60.2% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))
0.7b	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a))

rewrite128.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

1066×	`times-frac_binary64_13042`
924×	`*-un-lft-identity_binary64_13036`
544×	`add-sqr-sqrt_binary64_13058`
392×	`add-cube-cbrt_binary64_13071`
152×	`distribute-lft-out--_binary64_12988` `distribute-lft-out_binary64_12987`
76×	`difference-of-squares_binary64_13005`
48×	`div-inv_binary64_13033`
36×	`associate-/l*_binary64_12981`
31×	`associate-/r/_binary64_12982`
26×	`add-exp-log_binary64_13074`
18×	`associate-/r*_binary64_12980`
17×	`div-exp_binary64_13087`
16×	`add-cbrt-cube_binary64_13072`
15×	`flip3-+_binary64_13039` `flip-+_binary64_13010`
9×	`cbrt-undiv_binary64_13070`
3×	`div-sub_binary64_13041` `associate-/l/_binary64_12983`
2×	`clear-num_binary64_13035` `add-log-exp_binary64_13075` `pow1_binary64_13097` `rec-exp_binary64_13086` `1-exp_binary64_13080` `frac-2neg_binary64_13047`
1×	`flip--_binary64_13011` `flip3--_binary64_13040`

Counts

2 → 524

Calls

2 calls:

28.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a))
12.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

series192.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

148.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a))
44.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

simplify197.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5909	18886

prune735.0ms (10.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	530	0	530
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	530	5	535

Error

Counts

535 → 5

Compiler

Compiled 14607 to 6486 computations (55.6% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))
0.5b	(cbrt.f64 (-.f64 y z))
3.0b	(/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (cbrt.f64 (+.f64 (-.f64 t z) 1)) a))

rewrite101.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

440×	`times-frac_binary64_13042`
399×	`*-un-lft-identity_binary64_13036`
295×	`cbrt-prod_binary64_13067`
264×	`add-sqr-sqrt_binary64_13058`
200×	`add-cube-cbrt_binary64_13071`
59×	`distribute-lft-out--_binary64_12988`
54×	`distribute-lft-out_binary64_12987`
32×	`difference-of-squares_binary64_13005`
28×	`associate-/r*_binary64_12980`
10×	`div-inv_binary64_13033`
9×	`add-exp-log_binary64_13074`
8×	`cbrt-div_binary64_13068` `associate-/l*_binary64_12981`
6×	`add-cbrt-cube_binary64_13072`
4×	`flip--_binary64_13011` `add-log-exp_binary64_13075` `flip3--_binary64_13040` `pow1_binary64_13097`
3×	`cbrt-undiv_binary64_13070` `div-exp_binary64_13087` `pow1/3_binary64_13118`
2×	`associate-/l/_binary64_12983`
1×	`clear-num_binary64_13035` `associate-/r/_binary64_12982` `frac-2neg_binary64_13047`

Counts

4 → 322

Calls

4 calls:

22.0ms	(/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (cbrt.f64 (+.f64 (-.f64 t z) 1)) a))
3.0ms	(cbrt.f64 (-.f64 y z))
3.0ms	(cbrt.f64 (-.f64 y z))
3.0ms	(cbrt.f64 (-.f64 y z))

series630.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

302.0ms	(/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (cbrt.f64 (+.f64 (-.f64 t z) 1)) a))
121.0ms	(cbrt.f64 (-.f64 y z))
104.0ms	(cbrt.f64 (-.f64 y z))
102.0ms	(cbrt.f64 (-.f64 y z))

simplify165.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

334 → 334

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4980	12476
1	4980	12476

prune792.0ms (11.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	334	0	334
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	334	5	339

Error

Counts

339 → 5

Compiler

Compiled 17697 to 6990 computations (60.5% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 a (+.f64 (-.f64 t z) 1))
9.6b	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))

rewrite38.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`*-un-lft-identity_binary64_13036`
31×	`times-frac_binary64_13042`
29×	`add-sqr-sqrt_binary64_13058`
22×	`add-cube-cbrt_binary64_13071`
21×	`associate-r_binary64_12976`
14×	`distribute-lft-out_binary64_12987`
9×	`add-cbrt-cube_binary64_13072` `add-exp-log_binary64_13074`
8×	`distribute-lft-out--_binary64_12988`
5×	`associate-l_binary64_12977` `associate-/r*_binary64_12980`
4×	`associate-/r/_binary64_12982` `pow1_binary64_13097`
3×	`associate-/l*_binary64_12981`
2×	`flip--_binary64_13011` `cbrt-undiv_binary64_13070` `add-log-exp_binary64_13075` `unswap-sqr_binary64_13004` `div-inv_binary64_13033` `flip3--_binary64_13040` `div-exp_binary64_13087` `associate-*l/_binary64_12979` `flip3-+_binary64_13039` `prod-exp_binary64_13085` `flip-+_binary64_13010` `frac-times_binary64_13046` `cbrt-unprod_binary64_13069`
1×	`clear-num_binary64_13035` `difference-of-squares_binary64_13005` `associate-r/_binary64_12978` `-commutative_binary64_12967` `frac-2neg_binary64_13047` `pow-prod-down_binary64_13107`

Counts

2 → 83

Calls

2 calls:

22.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))
9.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))

series106.0ms (1.5%)

Counts

2 → 6

Calls

2 calls:

71.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))
35.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5606	1480

prune71.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	89	5	94

Error

Counts

94 → 5

Compiler

Compiled 1731 to 748 computations (56.8% saved)

regimes552.0ms (7.8%)

Accuracy

Total 0.2b remaining (99.6%)

Threshold costs 0.2b (99.6%)

Compiler

Compiled 7305 to 5152 computations (29.5% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	164	19
1	164	19

end0.0ms (0%)

sample1.4s (20.1%)

Algorithm

1×

intervals

Results

342.0ms	7998×	body	128	valid
19.0ms	478×	body	128	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 1058 to 750 computations (29.1% saved)

Details

analyze1.2s (17.1%)

sample29.0ms (0.4%)

simplify92.0ms (1.3%)

prune2.0ms (0%)

localize9.0ms (0.1%)

rewrite52.0ms (0.7%)

series162.0ms (2.3%)

simplify92.0ms (1.3%)

prune196.0ms (2.8%)

localize10.0ms (0.1%)

rewrite128.0ms (1.8%)

series192.0ms (2.7%)

simplify197.0ms (2.8%)

prune735.0ms (10.4%)

localize24.0ms (0.3%)

rewrite101.0ms (1.4%)

series630.0ms (8.9%)

simplify165.0ms (2.3%)

prune792.0ms (11.2%)

localize9.0ms (0.1%)

rewrite38.0ms (0.5%)

series106.0ms (1.5%)

simplify59.0ms (0.8%)

prune71.0ms (1%)

regimes552.0ms (7.8%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.4s (20.1%)

Profiling