Details

analyze1.3s (20.5%)

Algorithm

2×	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%	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
49.1%	50.7%	0.2%	9
49.1%	50.7%	0.2%	9
49.5%	50.3%	0.2%	10
49.5%	50.3%	0.2%	10
49.7%	50.1%	0.2%	11
49.7%	50.1%	0.2%	11
50.2%	49.6%	0.2%	12
50.2%	49.6%	0.2%	12
60.5%	39.3%	0.2%	13
60.5%	39.3%	0.2%	13
60.6%	37.9%	1.4%	14
60.6%	37.9%	1.4%	14

Symmetry

(sort x y)

Compiler

Compiled 20 to 20 computations (0% saved)

sample701.0ms (10.7%)

Algorithm

2×

intervals

Results

16.0ms	512×	body	128	valid
9.0ms	174×	body	128	invalid

Compiler

Compiled 3629 to 5077 computations (-39.9% saved)

simplify146.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (136.0ms)

Iter	Nodes	Cost
0	1744	13
1	1744	13

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

0.0b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 (+.f64 x y) z) (*.f64 t 2))

rewrite40.0ms (0.6%)

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)

series363.0ms (5.5%)

Error

0.0b

Counts

1 → 21

Calls

1 calls:

344.0ms

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

Compiler

Compiled 672 to 537 computations (20.1% saved)

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5057	720

prune46.0ms (0.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	47	4	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	4	52

Error

Counts

52 → 4

Compiler

Compiled 652 to 281 computations (56.9% saved)

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`*-un-lft-identity_binary64_1442`
7×	`cancel-sign-sub-inv_binary64_1408` `times-frac_binary64_1448`
5×	`add-sqr-sqrt_binary64_1464`
3×	`add-log-exp_binary64_1481` `add-cube-cbrt_binary64_1477` `div-inv_binary64_1439` `distribute-lft-out--_binary64_1394`
1×	`diff-log_binary64_1534` `pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `frac-sub_binary64_1451` `sub-div_binary64_1449` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-rgt-out--_binary64_1396` `distribute-lft-out_binary64_1393`

Counts

1 → 25

Calls

1 calls:

13.0ms

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

Compiler

Compiled 556 to 334 computations (39.9% saved)

series605.0ms (9.2%)

Error

Counts

1 → 21

Calls

1 calls:

588.0ms

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

Compiler

Compiled 708 to 562 computations (20.6% saved)

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5031	643

prune38.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	47	3	50

Error

Counts

50 → 3

Compiler

Compiled 589 to 287 computations (51.3% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

rewrite50.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`add-sqr-sqrt_binary64_1464`
14×	`*-un-lft-identity_binary64_1442`
13×	`associate-r_binary64_1382`
10×	`times-frac_binary64_1448`
9×	`add-cube-cbrt_binary64_1477`
6×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383`
3×	`pow1_binary64_1503`
2×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `flip3--_binary64_1446` `frac-times_binary64_1452` `flip--_binary64_1417` `unswap-sqr_binary64_1410` `associate-*l/_binary64_1385` `distribute-lft-out--_binary64_1394`
1×	`pow-prod-down_binary64_1513` `div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `associate-r/_binary64_1384` `difference-of-squares_binary64_1411` `distribute-lft-out_binary64_1393` `div-inv_binary64_1439` `-commutative_binary64_1373`

Counts

1 → 39

Calls

1 calls:

13.0ms

(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

Compiler

Compiled 702 to 302 computations (57% saved)

series362.0ms (5.5%)

Error

Counts

1 → 21

Calls

1 calls:

349.0ms

(*.f64 (-.f64 (+.f64 x y) z) (/.f64 1/2 t))

Compiler

Compiled 672 to 537 computations (20.1% saved)

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5114	909

prune45.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	60	3	63

Error

Counts

63 → 3

Compiler

Compiled 800 to 328 computations (59% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 t (.f64 2 (-.f64 (+.f64 x y) z)))
33.9b	(/.f64 (.f64 t (.f64 2 (-.f64 (+.f64 x y) z))) (.f64 t (.f64 t 4)))

rewrite126.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

43×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
21×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
20×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
12×	`cancel-sign-sub-inv_binary64_1408`
9×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476`
8×	`associate-*r/_binary64_1384`
7×	`pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
4×	`sub-neg_binary64_1435` `associate--l+_binary64_1379`
3×	`pow-prod-down_binary64_1513` `associate-l_binary64_1383`
2×	`add-log-exp_binary64_1481` `flip3--_binary64_1446` `associate-/l/_binary64_1389` `flip--_binary64_1417`
1×	`frac-2neg_binary64_1453` `times-frac_binary64_1448` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r_binary64_1386` `associate-r_binary64_1382` `*-commutative_binary64_1373`

Counts

2 → 73

Calls

2 calls:

16.0ms	(/.f64 (.f64 t (.f64 2 (-.f64 (+.f64 x y) z))) (.f64 t (.f64 t 4)))
13.0ms	(.f64 t (.f64 2 (-.f64 (+.f64 x y) z)))

Compiler

Compiled 1883 to 910 computations (51.7% saved)

series682.0ms (10.4%)

Error

Counts

2 → 42

Calls

2 calls:

349.0ms	(/.f64 (.f64 t (.f64 2 (-.f64 (+.f64 x y) z))) (.f64 t (.f64 t 4)))
299.0ms	(.f64 t (.f64 2 (-.f64 (+.f64 x y) z)))

Compiler

Compiled 1650 to 1261 computations (23.6% saved)

simplify67.0ms (1%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4946	1650
1	4946	1650

prune90.0ms (1.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Error

Counts

118 → 3

Compiler

Compiled 1714 to 792 computations (53.8% saved)

regimes467.0ms (7.1%)

Accuracy

Total 0.0b remaining (97.7%)

Threshold costs 0.0b (97.7%)

Compiler

Compiled 3584 to 3224 computations (10% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	19
1	30	19

Remove

(sort x y)

Compiler

Compiled 26 to 24 computations (7.7% saved)

end0.0ms (0%)

sample1.1s (17.5%)

Algorithm

1×

intervals

Results

259.0ms	8000×	body	128	valid
91.0ms	2849×	body	128	invalid

Compiler

Compiled 416 to 377 computations (9.4% saved)

Details

analyze1.3s (20.5%)

sample701.0ms (10.7%)

simplify146.0ms (2.2%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite40.0ms (0.6%)

series363.0ms (5.5%)

simplify52.0ms (0.8%)

prune46.0ms (0.7%)

localize10.0ms (0.2%)

rewrite43.0ms (0.7%)

series605.0ms (9.2%)

simplify42.0ms (0.6%)

prune38.0ms (0.6%)

localize7.0ms (0.1%)

rewrite50.0ms (0.8%)

series362.0ms (5.5%)

simplify53.0ms (0.8%)

prune45.0ms (0.7%)

localize10.0ms (0.2%)

rewrite126.0ms (1.9%)

series682.0ms (10.4%)

simplify67.0ms (1%)

prune90.0ms (1.4%)

regimes467.0ms (7.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

end0.0ms (0%)

sample1.1s (17.5%)

Profiling