Details

analyze1.1s (15.1%)

Algorithm

1×

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)

sample23.0ms (0.3%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 27 to 30 computations (-11.1% saved)

simplify188.0ms (2.7%)

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)

localize10.0ms (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))

rewrite44.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

236×	`*-un-lft-identity_binary64_13377`
200×	`times-frac_binary64_13383`
126×	`add-sqr-sqrt_binary64_13399`
86×	`add-cube-cbrt_binary64_13412`
44×	`distribute-lft-out_binary64_13328`
42×	`distribute-lft-out--_binary64_13329`
22×	`associate-/r*_binary64_13321`
20×	`difference-of-squares_binary64_13346`
10×	`associate-/l*_binary64_13322`
9×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
8×	`div-inv_binary64_13374`
4×	`associate-/l/_binary64_13324` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
2×	`clear-num_binary64_13376` `pow1_binary64_13438` `div-sub_binary64_13382` `add-log-exp_binary64_13416` `frac-2neg_binary64_13388`
1×	`associate-+l-_binary64_13312` `flip3--_binary64_13381` `flip--_binary64_13352` `associate-/r/_binary64_13323` `flip-+_binary64_13351` `flip3-+_binary64_13380`

Counts

2 → 175

Calls

2 calls:

15.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
9.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

series172.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

147.0ms	(/.f64 (-.f64 y z) (/.f64 (+.f64 (-.f64 t z) 1) a))
25.0ms	(/.f64 (+.f64 (-.f64 t z) 1) a)

simplify96.0ms (1.4%)

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)

localize13.0ms (0.2%)

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))

rewrite126.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

1066×	`times-frac_binary64_13383`
924×	`*-un-lft-identity_binary64_13377`
544×	`add-sqr-sqrt_binary64_13399`
392×	`add-cube-cbrt_binary64_13412`
152×	`distribute-lft-out--_binary64_13329` `distribute-lft-out_binary64_13328`
76×	`difference-of-squares_binary64_13346`
48×	`div-inv_binary64_13374`
36×	`associate-/l*_binary64_13322`
31×	`associate-/r/_binary64_13323`
26×	`add-exp-log_binary64_13415`
18×	`associate-/r*_binary64_13321`
17×	`div-exp_binary64_13428`
16×	`add-cbrt-cube_binary64_13413`
15×	`flip-+_binary64_13351` `flip3-+_binary64_13380`
9×	`cbrt-undiv_binary64_13411`
3×	`associate-/l/_binary64_13324` `div-sub_binary64_13382`
2×	`clear-num_binary64_13376` `rec-exp_binary64_13427` `1-exp_binary64_13421` `pow1_binary64_13438` `add-log-exp_binary64_13416` `frac-2neg_binary64_13388`
1×	`flip3--_binary64_13381` `flip--_binary64_13352`

Counts

2 → 524

Calls

2 calls:

27.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a))
12.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

series183.0ms (2.6%)

Counts

2 → 6

Calls

2 calls:

138.0ms	(/.f64 (/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1)) (/.f64 1 a))
45.0ms	(/.f64 (-.f64 y z) (+.f64 (-.f64 t z) 1))

simplify202.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

530 → 530

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5909	18886

prune674.0ms (9.6%)

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)

localize215.0ms (3.1%)

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))

rewrite98.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

440×	`times-frac_binary64_13383`
399×	`*-un-lft-identity_binary64_13377`
295×	`cbrt-prod_binary64_13408`
264×	`add-sqr-sqrt_binary64_13399`
200×	`add-cube-cbrt_binary64_13412`
59×	`distribute-lft-out--_binary64_13329`
54×	`distribute-lft-out_binary64_13328`
32×	`difference-of-squares_binary64_13346`
28×	`associate-/r*_binary64_13321`
10×	`div-inv_binary64_13374`
9×	`add-exp-log_binary64_13415`
8×	`associate-/l*_binary64_13322` `cbrt-div_binary64_13409`
6×	`add-cbrt-cube_binary64_13413`
4×	`pow1_binary64_13438` `flip3--_binary64_13381` `flip--_binary64_13352` `add-log-exp_binary64_13416`
3×	`pow1/3_binary64_13459` `div-exp_binary64_13428` `cbrt-undiv_binary64_13411`
2×	`associate-/l/_binary64_13324`
1×	`clear-num_binary64_13376` `associate-/r/_binary64_13323` `frac-2neg_binary64_13388`

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))

series636.0ms (9%)

Counts

4 → 12

Calls

4 calls:

304.0ms	(/.f64 (cbrt.f64 (-.f64 y z)) (/.f64 (cbrt.f64 (+.f64 (-.f64 t z) 1)) a))
116.0ms	(cbrt.f64 (-.f64 y z))
115.0ms	(cbrt.f64 (-.f64 y z))
101.0ms	(cbrt.f64 (-.f64 y z))

simplify169.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

334 → 334

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4980	12476
1	4980	12476

prune745.0ms (10.6%)

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)))

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`*-un-lft-identity_binary64_13377`
31×	`times-frac_binary64_13383`
29×	`add-sqr-sqrt_binary64_13399`
22×	`add-cube-cbrt_binary64_13412`
21×	`associate-r_binary64_13317`
14×	`distribute-lft-out_binary64_13328`
9×	`add-exp-log_binary64_13415` `add-cbrt-cube_binary64_13413`
8×	`distribute-lft-out--_binary64_13329`
5×	`associate-/r_binary64_13321` `associate-l*_binary64_13318`
4×	`pow1_binary64_13438` `associate-/r/_binary64_13323`
3×	`associate-/l*_binary64_13322`
2×	`prod-exp_binary64_13426` `div-inv_binary64_13374` `associate-*l/_binary64_13320` `cbrt-unprod_binary64_13410` `unswap-sqr_binary64_13345` `frac-times_binary64_13387` `flip3--_binary64_13381` `div-exp_binary64_13428` `flip--_binary64_13352` `add-log-exp_binary64_13416` `cbrt-undiv_binary64_13411` `flip-+_binary64_13351` `flip3-+_binary64_13380`
1×	`clear-num_binary64_13376` `difference-of-squares_binary64_13346` `pow-prod-down_binary64_13448` `-commutative_binary64_13308` `associate-r/_binary64_13319` `frac-2neg_binary64_13388`

Counts

2 → 83

Calls

2 calls:

18.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))
9.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))

series115.0ms (1.6%)

Counts

2 → 6

Calls

2 calls:

81.0ms	(*.f64 (-.f64 y z) (/.f64 a (+.f64 (-.f64 t z) 1)))
34.0ms	(/.f64 a (+.f64 (-.f64 t z) 1))

simplify59.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5606	1480

prune74.0ms (1.1%)

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)

regimes528.0ms (7.5%)

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 (19.4%)

Algorithm

1×

intervals

Results

329.0ms	7998×	body	128	valid
18.0ms	478×	body	128	invalid
0.0ms	2×	body	256	valid

Compiler

Compiled 1058 to 750 computations (29.1% saved)

Details

analyze1.1s (15.1%)

sample23.0ms (0.3%)

simplify188.0ms (2.7%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite44.0ms (0.6%)

series172.0ms (2.4%)

simplify96.0ms (1.4%)

prune196.0ms (2.8%)

localize13.0ms (0.2%)

rewrite126.0ms (1.8%)

series183.0ms (2.6%)

simplify202.0ms (2.9%)

prune674.0ms (9.6%)

localize215.0ms (3.1%)

rewrite98.0ms (1.4%)

series636.0ms (9%)

simplify169.0ms (2.4%)

prune745.0ms (10.6%)

localize9.0ms (0.1%)

rewrite39.0ms (0.6%)

series115.0ms (1.6%)

simplify59.0ms (0.8%)

prune74.0ms (1.1%)

regimes528.0ms (7.5%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.4s (19.4%)

Profiling