Details

analyze822.0ms (6.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5124	175
0	4	4
1	4	4

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
3.1%	96.7%	0.2%	7
6.2%	93.6%	0.2%	8
8.6%	91.2%	0.2%	9
28.1%	71.7%	0.2%	10
31%	68.8%	0.2%	11
40.5%	59.3%	0.2%	12
49.6%	50.2%	0.2%	13
59%	40.8%	0.2%	14

Symmetry

Compiler

Compiled 18 to 14 computations (22.2% saved)

sample25.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	13×	body	128	invalid

Compiler

Compiled 35 to 31 computations (11.4% saved)

simplify64.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4892	25
1	4892	25

prune3.0ms (0%)

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

5.2b

Counts

2 → 1

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 t z) x)
0.0b	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
0.0b	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
8.8b	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))

rewrite166.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

5.1b

Rules

45×	`*-un-lft-identity_binary64_17128`
25×	`times-frac_binary64_17134`
23×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150`
11×	`distribute-lft-out_binary64_17079`
8×	`add-exp-log_binary64_17166` `add-log-exp_binary64_17167` `add-cbrt-cube_binary64_17164`
7×	`associate-/l_binary64_17073` `associate-/r_binary64_17072`
4×	`pow1_binary64_17189` `div-sub_binary64_17133` `associate-/l/_binary64_17075` `associate-/r/_binary64_17074`
3×	`flip3--_binary64_17132` `flip--_binary64_17103` `flip3-+_binary64_17131` `flip-+_binary64_17102` `cancel-sign-sub-inv_binary64_17094`
2×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `div-inv_binary64_17125` `associate-+r-_binary64_17062`
1×	`sum-log_binary64_17219` `+-commutative_binary64_17058` `diff-log_binary64_17220` `sub-neg_binary64_17121`

Counts

4 → 100

Calls

4 calls:

15.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
11.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
9.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
4.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 2967 to 756 computations (74.5% saved)

series1.3s (10.5%)

Error

0.3b

Counts

4 → 105

Calls

4 calls:

494.0ms	(/.f64 (+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))) (+.f64 x 1))
316.0ms	(+.f64 x (/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x)))
286.0ms	(/.f64 (-.f64 (.f64 y z) x) (-.f64 (.f64 t z) x))
92.0ms	(-.f64 (*.f64 t z) x)

Compiler

Compiled 6660 to 4304 computations (35.4% saved)

simplify95.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5254	5416

prune404.0ms (3.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	196	9	205
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	197	9	206

Error

0.2b

Counts

206 → 9

Compiler

Compiled 5227 to 1479 computations (71.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x))))
0.0b	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))) (+.f64 x 1))
0.3b	(/.f64 1 (-.f64 (*.f64 t z) x))
8.5b	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))

rewrite176.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

38×	`*-un-lft-identity_binary64_17128`
36×	`add-sqr-sqrt_binary64_17150`
32×	`times-frac_binary64_17134`
29×	`add-cube-cbrt_binary64_17163`
19×	`add-exp-log_binary64_17166`
15×	`associate-r_binary64_17068`
13×	`add-cbrt-cube_binary64_17164`
7×	`pow1_binary64_17189` `associate-/r*_binary64_17072`
6×	`add-log-exp_binary64_17167` `associate-/r/_binary64_17074` `associate-/l*_binary64_17073`
5×	`div-exp_binary64_17179`
4×	`prod-exp_binary64_17177` `flip3--_binary64_17132` `flip--_binary64_17103` `distribute-lft-out_binary64_17079`
3×	`cbrt-undiv_binary64_17162` `unswap-sqr_binary64_17096` `associate-l_binary64_17069` `div-inv_binary64_17125` `flip3-+_binary64_17131` `flip-+_binary64_17102`
2×	`1-exp_binary64_17172` `rec-exp_binary64_17178` `cbrt-unprod_binary64_17161` `frac-times_binary64_17138` `associate-*l/_binary64_17071` `frac-2neg_binary64_17139` `clear-num_binary64_17127` `associate-/l/_binary64_17075`
1×	`pow-prod-down_binary64_17199` `un-div-inv_binary64_17126` `associate-r/_binary64_17070` `-commutative_binary64_17059` `inv-pow_binary64_17213` `pow-flip_binary64_17202` `sum-log_binary64_17219` `+-commutative_binary64_17058`

Counts

4 → 121

Calls

4 calls:

15.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))
10.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))) (+.f64 x 1))
6.0ms	(/.f64 1 (-.f64 (*.f64 t z) x))
3.0ms	(+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x))))

Compiler

Compiled 3865 to 1534 computations (60.3% saved)

series1.3s (10.7%)

Error

0.2b

Counts

4 → 104

Calls

4 calls:

513.0ms	(/.f64 (+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))) (+.f64 x 1))
333.0ms	(+.f64 x (.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x))))
270.0ms	(.f64 (-.f64 (.f64 y z) x) (/.f64 1 (-.f64 (*.f64 t z) x)))
100.0ms	(/.f64 1 (-.f64 (*.f64 t z) x))

Compiler

Compiled 7028 to 4642 computations (33.9% saved)

simplify103.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

225 → 225

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5241	5776

prune195.0ms (1.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	225	0	225
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	225	9	234

Error

0.2b

Counts

234 → 9

Compiler

Compiled 5918 to 1870 computations (68.4% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
0.0b	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
0.2b	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
8.8b	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

rewrite278.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

110×	`times-frac_binary64_17134`
97×	`*-un-lft-identity_binary64_17128`
67×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150`
22×	`associate-/r*_binary64_17072`
19×	`add-exp-log_binary64_17166`
18×	`distribute-lft-out_binary64_17079`
13×	`add-cbrt-cube_binary64_17164` `div-inv_binary64_17125` `associate-/r/_binary64_17074`
11×	`associate-/l*_binary64_17073`
9×	`div-exp_binary64_17179`
6×	`add-log-exp_binary64_17167` `flip3--_binary64_17132` `flip--_binary64_17103`
5×	`pow1_binary64_17189` `cbrt-undiv_binary64_17162`
4×	`associate-/l/_binary64_17075`
3×	`frac-2neg_binary64_17139` `clear-num_binary64_17127` `flip3-+_binary64_17131` `flip-+_binary64_17102`
2×	`1-exp_binary64_17172` `rec-exp_binary64_17178`
1×	`div-sub_binary64_17133` `inv-pow_binary64_17213` `pow-flip_binary64_17202` `sum-log_binary64_17219` `+-commutative_binary64_17058`

Counts

4 → 174

Calls

4 calls:

25.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
20.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
14.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))
9.0ms	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))

Compiler

Compiled 5854 to 1970 computations (66.3% saved)

series1.5s (12.4%)

Error

0.2b

Counts

4 → 116

Calls

4 calls:

501.0ms	(/.f64 (+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))) (+.f64 x 1))
313.0ms	(/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))
309.0ms	(+.f64 x (/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x))))
278.0ms	(/.f64 1 (/.f64 (-.f64 (.f64 t z) x) (-.f64 (.f64 z y) x)))

Compiler

Compiled 8133 to 5361 computations (34.1% saved)

simplify108.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

290 → 290

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4998	8691
1	4998	8691

prune279.0ms (2.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	290	0	290
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	290	9	299

Error

0.2b

Counts

299 → 9

Compiler

Compiled 8083 to 2333 computations (71.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.3b	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
8.8b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
8.8b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
8.8b	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

rewrite204.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Rules

36×	`times-frac_binary64_17134`
35×	`add-cube-cbrt_binary64_17163` `add-sqr-sqrt_binary64_17150` `*-un-lft-identity_binary64_17128`
15×	`cbrt-prod_binary64_17159`
10×	`add-exp-log_binary64_17166` `add-cbrt-cube_binary64_17164`
9×	`associate-/l_binary64_17073` `associate-/r_binary64_17072`
8×	`associate-/r/_binary64_17074`
7×	`flip3--_binary64_17132` `flip--_binary64_17103`
6×	`associate-/l/_binary64_17075`
4×	`pow1_binary64_17189` `add-log-exp_binary64_17167` `div-inv_binary64_17125`
3×	`div-exp_binary64_17179` `cbrt-undiv_binary64_17162` `frac-2neg_binary64_17139` `div-sub_binary64_17133` `clear-num_binary64_17127`
1×	`pow1/3_binary64_17210` `cbrt-div_binary64_17160`

Counts

4 → 120

Calls

4 calls:

10.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
10.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

Compiler

Compiled 6751 to 1007 computations (85.1% saved)

series1.5s (12.1%)

Error

0.2b

Counts

4 → 102

Calls

4 calls:

461.0ms	(cbrt.f64 (/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x)))
305.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
300.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))
289.0ms	(/.f64 (-.f64 (.f64 z y) x) (-.f64 (.f64 t z) x))

Compiler

Compiled 14423 to 6262 computations (56.6% saved)

simplify96.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

222 → 222

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4975	5476
1	4975	5476

prune253.0ms (2.1%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	222	0	222
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	222	9	231

Error

0.2b

Counts

231 → 9

Compiler

Compiled 11423 to 1753 computations (84.7% saved)

regimes1.1s (8.7%)

Accuracy

Total 2.5b remaining (77.8%)

Threshold costs 0b (0%)

Compiler

Compiled 11684 to 7336 computations (37.2% saved)

bsearch5.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	89
1	55	89

Removed

()

end0.0ms (0%)

sample2.3s (18.6%)

Algorithm

1×

intervals

Results

368.0ms	8000×	body	128	valid
13.0ms	298×	body	128	invalid

Compiler

Compiled 2402 to 1505 computations (37.3% saved)

Details

analyze822.0ms (6.7%)

sample25.0ms (0.2%)

simplify64.0ms (0.5%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite166.0ms (1.3%)

series1.3s (10.5%)

simplify95.0ms (0.8%)

prune404.0ms (3.3%)

localize12.0ms (0.1%)

rewrite176.0ms (1.4%)

series1.3s (10.7%)

simplify103.0ms (0.8%)

prune195.0ms (1.6%)

localize12.0ms (0.1%)

rewrite278.0ms (2.3%)

series1.5s (12.4%)

simplify108.0ms (0.9%)

prune279.0ms (2.3%)

localize15.0ms (0.1%)

rewrite204.0ms (1.7%)

series1.5s (12.1%)

simplify96.0ms (0.8%)

prune253.0ms (2.1%)

regimes1.1s (8.7%)

bsearch5.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.3s (18.6%)

Profiling