Details

analyze732.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5189	91
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
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14

Symmetry

(sort x y)

Compiler

Compiled 10 to 10 computations (0% saved)

sample32.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	82×	body	128	invalid

Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify154.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	1744	13
1	1744	13

prune8.0ms (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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_1442`
7×	`add-sqr-sqrt_binary64_1464`
6×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `times-frac_binary64_1448` `associate-/l*_binary64_1387`
4×	`distribute-lft-out--_binary64_1394`
3×	`add-cube-cbrt_binary64_1477`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `difference-of-squares_binary64_1411` `distribute-lft-out_binary64_1393` `associate-/l/_binary64_1389`
1×	`pow1_binary64_1503` `prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3--_binary64_1446` `flip--_binary64_1417` `associate-/r*_binary64_1386`

Counts

1 → 30

Calls

1 calls:

10.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

Compiler

Compiled 505 to 201 computations (60.2% saved)

series241.0ms (2.5%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

226.0ms

(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

Compiler

Compiled 672 to 537 computations (20.1% saved)

simplify53.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5057	720

prune39.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Error

Counts

52 → 4

Compiler

Compiled 646 to 268 computations (58.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 y (-.f64 x z)))
0.5b	(cbrt.f64 (+.f64 y (-.f64 x z)))
0.5b	(cbrt.f64 (+.f64 y (-.f64 x z)))
0.5b	(*.f64 (cbrt.f64 (+.f64 y (-.f64 x z))) (cbrt.f64 (+.f64 y (-.f64 x z))))

rewrite152.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

74×	`*-un-lft-identity_binary64_1442`
51×	`cbrt-prod_binary64_1473`
23×	`add-sqr-sqrt_binary64_1464`
22×	`distribute-lft-out_binary64_1393`
18×	`cbrt-div_binary64_1474`
15×	`add-cube-cbrt_binary64_1477`
14×	`swap-sqr_binary64_1409`
11×	`pow1_binary64_1503` `distribute-lft-out--_binary64_1394`
9×	`pow1/3_binary64_1524` `flip3-+_binary64_1445` `flip-+_binary64_1416`
8×	`associate-l_binary64_1383` `associate-r_binary64_1382`
6×	`add-exp-log_binary64_1480`
4×	`add-log-exp_binary64_1481` `add-cbrt-cube_binary64_1478` `frac-times_binary64_1452` `unswap-sqr_binary64_1410`
2×	`pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-sqr_binary64_1415` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`pow2_binary64_1523` `pow-plus_binary64_1505` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-commutative_binary64_1373`

Counts

4 → 105

Calls

4 calls:

17.0ms	(*.f64 (cbrt.f64 (+.f64 y (-.f64 x z))) (cbrt.f64 (+.f64 y (-.f64 x z))))
9.0ms	(cbrt.f64 (+.f64 y (-.f64 x z)))
5.0ms	(cbrt.f64 (+.f64 y (-.f64 x z)))
5.0ms	(cbrt.f64 (+.f64 y (-.f64 x z)))

Compiler

Compiled 3518 to 743 computations (78.9% saved)

series1.3s (13.8%)

Error

Counts

4 → 71

Calls

4 calls:

530.0ms	(*.f64 (cbrt.f64 (+.f64 y (-.f64 x z))) (cbrt.f64 (+.f64 y (-.f64 x z))))
233.0ms	(cbrt.f64 (+.f64 y (-.f64 x z)))
231.0ms	(cbrt.f64 (+.f64 y (-.f64 x z)))
230.0ms	(cbrt.f64 (+.f64 y (-.f64 x z)))

Compiler

Compiled 8208 to 5686 computations (30.7% saved)

simplify87.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

176 → 176

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5041	3844

prune191.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	176	4	180

Error

Counts

180 → 4

Compiler

Compiled 5498 to 1836 computations (66.6% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 y z) t)

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
15×	`times-frac_binary64_1448`
11×	`add-cube-cbrt_binary64_1477`
5×	`associate-/l*_binary64_1387`
4×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`
3×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-/r*_binary64_1386`
2×	`associate-/l/_binary64_1389`
1×	`pow1_binary64_1503` `div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

1 → 38

Calls

1 calls:

6.0ms

(/.f64 (-.f64 y z) t)

Compiler

Compiled 552 to 213 computations (61.4% saved)

series126.0ms (1.3%)

Error

Counts

1 → 15

Calls

1 calls:

119.0ms

(/.f64 (-.f64 y z) t)

Compiler

Compiled 303 to 257 computations (15.2% saved)

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5044	620

prune33.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	53	4	57

Error

Counts

57 → 4

Compiler

Compiled 629 to 237 computations (62.3% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (-.f64 (+.f64 x y) z))
0.0b	(sqrt.f64 (+.f64 y (-.f64 x z)))
0.1b	(/.f64 t (/.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) 2))
0.2b	(/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) (/.f64 t (/.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) 2)))

rewrite2.0s (21.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

2541×	`times-frac_binary64_1448`
1985×	`*-un-lft-identity_binary64_1442`
1199×	`add-sqr-sqrt_binary64_1464`
1061×	`sqrt-prod_binary64_1458`
1015×	`add-cube-cbrt_binary64_1477`
297×	`distribute-lft-out_binary64_1393`
285×	`distribute-lft-out--_binary64_1394`
117×	`associate-/r*_binary64_1386`
91×	`difference-of-squares_binary64_1411`
46×	`div-inv_binary64_1439`
18×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
12×	`associate-/r/_binary64_1388` `associate-/l*_binary64_1387`
9×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
6×	`pow1_binary64_1503` `sqrt-div_binary64_1459`
4×	`add-log-exp_binary64_1481`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `flip3--_binary64_1446` `associate-/l/_binary64_1389` `flip--_binary64_1417` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`
1×	`flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 1083

Calls

4 calls:

46.0ms	(/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) (/.f64 t (/.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) 2)))
13.0ms	(/.f64 t (/.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) 2))
6.0ms	(sqrt.f64 (-.f64 (+.f64 x y) z))
5.0ms	(sqrt.f64 (+.f64 y (-.f64 x z)))

Compiler

Compiled 41158 to 13129 computations (68.1% saved)

series753.0ms (7.8%)

Error

Counts

4 → 67

Calls

4 calls:

271.0ms	(/.f64 t (/.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) 2))
252.0ms	(/.f64 (sqrt.f64 (-.f64 (+.f64 x y) z)) (/.f64 t (/.f64 (sqrt.f64 (+.f64 y (-.f64 x z))) 2)))
91.0ms	(sqrt.f64 (+.f64 y (-.f64 x z)))
89.0ms	(sqrt.f64 (-.f64 (+.f64 x y) z))

Compiler

Compiled 3765 to 2601 computations (30.9% saved)

simplify452.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

1150 → 1150

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5027	53180

prune1.6s (16.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	1150	0	1150
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	1150	4	1154

Error

Counts

1154 → 4

Compiler

Compiled 37706 to 10350 computations (72.6% saved)

regimes352.0ms (3.6%)

Accuracy

Total 0.0b remaining (62.7%)

Threshold costs 0.0b (62.7%)

Compiler

Compiled 3179 to 2459 computations (22.6% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	13
1	21	13

Remove

(sort x y)

Compiler

Compiled 18 to 18 computations (0% saved)

end0.0ms (0%)

sample1.1s (10.9%)

Algorithm

1×

intervals

Results

249.0ms	8000×	body	128	valid
79.0ms	2677×	body	128	invalid

Compiler

Compiled 391 to 305 computations (22% saved)

Details

analyze732.0ms (7.6%)

sample32.0ms (0.3%)

simplify154.0ms (1.6%)

prune8.0ms (0.1%)

localize7.0ms (0.1%)

rewrite37.0ms (0.4%)

series241.0ms (2.5%)

simplify53.0ms (0.5%)

prune39.0ms (0.4%)

localize11.0ms (0.1%)

rewrite152.0ms (1.6%)

series1.3s (13.8%)

simplify87.0ms (0.9%)

prune191.0ms (2%)

localize5.0ms (0.1%)

rewrite32.0ms (0.3%)

series126.0ms (1.3%)

simplify88.0ms (0.9%)

prune33.0ms (0.3%)

localize12.0ms (0.1%)

rewrite2.0s (21.1%)

series753.0ms (7.8%)

simplify452.0ms (4.7%)

prune1.6s (16.9%)

regimes352.0ms (3.6%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.1s (10.9%)

Profiling