Details

analyze1.8s (13.6%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4870	176
1	4870	176
0	5	5
1	5	5

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
0%	99.8%	0.2%	8
2.3%	97.4%	0.2%	9
2.3%	97.4%	0.2%	9
4.7%	95.1%	0.2%	10
4.7%	95.1%	0.2%	10
12.7%	87.1%	0.2%	11
12.7%	87.1%	0.2%	11
15.9%	83.9%	0.2%	12
15.9%	83.9%	0.2%	12
24.9%	74.9%	0.2%	13
24.9%	74.9%	0.2%	13
33.3%	66.5%	0.2%	14
33.3%	66.5%	0.2%	14

Compiler

Compiled 24 to 22 computations (8.3% saved)

sample352.0ms (2.7%)

Algorithm

2×

intervals

Results

18.0ms	512×	body	128	valid
3.0ms	54×	body	128	invalid

Compiler

Compiled 3407 to 4538 computations (-33.2% saved)

simplify131.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4989	16
1	4989	16

prune3.0ms (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

1.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
0.0b	(/.f64 (-.f64 z t) (-.f64 z a))
2.7b	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))

rewrite164.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

76×	`add-sqr-sqrt_binary64_15445`
71×	`*-un-lft-identity_binary64_15423`
51×	`times-frac_binary64_15429`
31×	`associate-r_binary64_15363`
27×	`add-cube-cbrt_binary64_15458`
22×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
5×	`pow1_binary64_15484` `add-log-exp_binary64_15462` `associate-/l_binary64_15368` `associate-/r_binary64_15367`
4×	`associate-/r/_binary64_15369`
3×	`associate-l_binary64_15364` `flip3--_binary64_15427` `flip--_binary64_15398`
2×	`div-exp_binary64_15474` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `cbrt-undiv_binary64_15457` `unswap-sqr_binary64_15391` `div-inv_binary64_15420` `associate-/l/_binary64_15370`
1×	`pow-prod-down_binary64_15494` `associate-r/_binary64_15365` `-commutative_binary64_15354` `frac-2neg_binary64_15434` `div-sub_binary64_15428` `clear-num_binary64_15422` `sum-log_binary64_15514` `flip3-+_binary64_15426` `flip-+_binary64_15397` `+-commutative_binary64_15353`

Counts

3 → 113

Calls

3 calls:

15.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
8.0ms	(/.f64 (-.f64 z t) (-.f64 z a))
3.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))

Compiler

Compiled 2369 to 535 computations (77.4% saved)

series1.5s (11.7%)

Error

0.0b

Counts

3 → 102

Calls

3 calls:

752.0ms	(+.f64 x (*.f64 y (/.f64 (-.f64 z t) (-.f64 z a))))
394.0ms	(*.f64 y (/.f64 (-.f64 z t) (-.f64 z a)))
270.0ms	(/.f64 (-.f64 z t) (-.f64 z a))

Compiler

Compiled 5529 to 3311 computations (40.1% saved)

simplify86.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5020	4803

prune208.0ms (1.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	207	8	215
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	208	8	216

Error

Counts

216 → 8

Compiler

Compiled 4385 to 1124 computations (74.4% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 z t))
0.6b	(cbrt.f64 (-.f64 z a))
0.6b	(cbrt.f64 (-.f64 z a))
0.6b	(cbrt.f64 (-.f64 z a))

rewrite101.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`cbrt-prod_binary64_15454`
16×	`add-sqr-sqrt_binary64_15445` `*-un-lft-identity_binary64_15423`
8×	`add-cube-cbrt_binary64_15458` `cbrt-div_binary64_15455`
4×	`pow1/3_binary64_15505` `pow1_binary64_15484` `add-log-exp_binary64_15462` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `flip3--_binary64_15427` `flip--_binary64_15398` `difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`

Counts

4 → 60

Calls

4 calls:

4.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z a))
3.0ms	(cbrt.f64 (-.f64 z t))

Compiler

Compiled 2380 to 396 computations (83.4% saved)

series645.0ms (4.9%)

Error

Counts

4 → 41

Calls

4 calls:

162.0ms	(cbrt.f64 (-.f64 z a))
154.0ms	(cbrt.f64 (-.f64 z a))
150.0ms	(cbrt.f64 (-.f64 z a))
121.0ms	(cbrt.f64 (-.f64 z t))

Compiler

Compiled 4631 to 2518 computations (45.6% saved)

simplify117.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4874	1221
1	4874	1221

prune151.0ms (1.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	101	8	109

Error

Counts

109 → 8

Compiler

Compiled 3941 to 719 computations (81.8% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
0.3b	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
2.7b	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))

rewrite533.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

392×	`times-frac_binary64_15429`
336×	`add-sqr-sqrt_binary64_15445`
324×	`*-un-lft-identity_binary64_15423`
158×	`add-cube-cbrt_binary64_15458`
98×	`associate-r_binary64_15363`
82×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
36×	`add-exp-log_binary64_15461` `associate-/r*_binary64_15367`
20×	`add-cbrt-cube_binary64_15459`
18×	`associate-/r/_binary64_15369`
15×	`div-exp_binary64_15474`
10×	`div-inv_binary64_15420`
9×	`flip3--_binary64_15427` `flip--_binary64_15398`
8×	`associate-/l*_binary64_15368`
7×	`pow1_binary64_15484` `prod-exp_binary64_15472` `cbrt-undiv_binary64_15457`
6×	`add-log-exp_binary64_15462`
5×	`unswap-sqr_binary64_15391`
4×	`1-exp_binary64_15467` `rec-exp_binary64_15473`
3×	`cbrt-unprod_binary64_15456` `associate-l_binary64_15364`
2×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `associate-/l/_binary64_15370`
1×	`pow-prod-down_binary64_15494` `un-div-inv_binary64_15421` `associate-r/_binary64_15365` `-commutative_binary64_15354` `inv-pow_binary64_15508` `pow-flip_binary64_15497` `div-sub_binary64_15428` `sum-log_binary64_15514` `flip3-+_binary64_15426` `flip-+_binary64_15397` `+-commutative_binary64_15353`

Counts

4 → 338

Calls

4 calls:

37.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
13.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
9.0ms	(/.f64 (-.f64 z a) (-.f64 z t))
4.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))

Compiler

Compiled 8724 to 3133 computations (64.1% saved)

series1.7s (13.1%)

Error

Counts

4 → 124

Calls

4 calls:

684.0ms	(+.f64 x (*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))))
422.0ms	(*.f64 y (/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t))))
254.0ms	(/.f64 1 (/.f64 (-.f64 z a) (-.f64 z t)))
244.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 6732 to 4161 computations (38.2% saved)

simplify130.0ms (1%)

Algorithm

1×	egg-herbie

Counts

462 → 462

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4983	10790
1	4983	10790

prune472.0ms (3.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	459	3	462
Fresh	5	1	6
Picked	1	0	1
Done	1	0	1
Total	466	4	470

Error

Counts

470 → 4

Compiler

Compiled 10514 to 2821 computations (73.2% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
0.0b	(/.f64 (-.f64 z a) (-.f64 z t))
2.8b	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))

rewrite262.0ms (2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

218×	`times-frac_binary64_15429`
197×	`*-un-lft-identity_binary64_15423`
195×	`add-sqr-sqrt_binary64_15445`
91×	`add-cube-cbrt_binary64_15458`
52×	`difference-of-squares_binary64_15392` `distribute-lft-out--_binary64_15375`
36×	`associate-/r*_binary64_15367`
11×	`associate-/r/_binary64_15369`
10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
8×	`associate-/l*_binary64_15368`
6×	`div-inv_binary64_15420` `flip3--_binary64_15427` `flip--_binary64_15398`
5×	`add-log-exp_binary64_15462`
4×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
3×	`pow1_binary64_15484`
2×	`frac-2neg_binary64_15434` `clear-num_binary64_15422` `associate-/l/_binary64_15370`
1×	`div-sub_binary64_15428` `sum-log_binary64_15514` `flip3-+_binary64_15426` `flip-+_binary64_15397` `distribute-lft-out_binary64_15374` `+-commutative_binary64_15353`

Counts

3 → 206

Calls

3 calls:

32.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
13.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
8.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 4812 to 1041 computations (78.4% saved)

series1.4s (10.8%)

Error

Counts

3 → 95

Calls

3 calls:

696.0ms	(+.f64 x (/.f64 y (/.f64 (-.f64 z a) (-.f64 z t))))
394.0ms	(/.f64 y (/.f64 (-.f64 z a) (-.f64 z t)))
250.0ms	(/.f64 (-.f64 z a) (-.f64 z t))

Compiler

Compiled 5038 to 3000 computations (40.5% saved)

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

301 → 301

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5528	7973

prune261.0ms (2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	300	1	301
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	302	3	305

Error

Counts

305 → 3

Compiler

Compiled 6507 to 1095 computations (83.2% saved)

regimes1.0s (7.7%)

Accuracy

Total 0.5b remaining (99.8%)

Threshold costs 0.5b (99.8%)

Compiler

Compiled 10320 to 7885 computations (23.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	52
1	38	52

end0.0ms (0%)

sample2.0s (14.8%)

Algorithm

1×

intervals

Results

297.0ms	7997×	body	128	valid
30.0ms	775×	body	128	invalid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 1284 to 979 computations (23.8% saved)

Details

analyze1.8s (13.6%)

sample352.0ms (2.7%)

simplify131.0ms (1%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite164.0ms (1.2%)

series1.5s (11.7%)

simplify86.0ms (0.7%)

prune208.0ms (1.6%)

localize19.0ms (0.1%)

rewrite101.0ms (0.8%)

series645.0ms (4.9%)

simplify117.0ms (0.9%)

prune151.0ms (1.1%)

localize10.0ms (0.1%)

rewrite533.0ms (4%)

series1.7s (13.1%)

simplify130.0ms (1%)

prune472.0ms (3.6%)

localize8.0ms (0.1%)

rewrite262.0ms (2%)

series1.4s (10.8%)

simplify100.0ms (0.8%)

prune261.0ms (2%)

regimes1.0s (7.7%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (14.8%)

Profiling