Details

analyze468.0ms (14.2%)

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
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

Compiler

Compiled 10 to 10 computations (0% saved)

sample23.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
3.0ms	82×	body	128	invalid

Compiler

Compiled 19 to 23 computations (-21.1% saved)

simplify298.0ms (9.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	1715	13
1	1715	13

prune2.0ms (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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 18 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64_1425`
7×	`add-sqr-sqrt_binary64_1446`
6×	`times-frac_binary64_1431` `add-cbrt-cube_binary64_1458` `associate-/l*_binary64_1372` `add-exp-log_binary64_1460`
4×	`distribute-lft-out--_binary64_1379`
3×	`add-cube-cbrt_binary64_1457`
2×	`distribute-lft-out_binary64_1378` `difference-of-squares_binary64_1394` `div-exp_binary64_1473` `associate-/l/_binary64_1374` `cbrt-undiv_binary64_1456`
1×	`flip--_binary64_1400` `frac-2neg_binary64_1436` `associate-/r*_binary64_1371` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `clear-num_binary64_1424` `div-sub_binary64_1430` `div-inv_binary64_1422` `pow1_binary64_1483` `flip3--_binary64_1429` `add-log-exp_binary64_1461`

Counts

1 → 30

Calls

1 calls:

11.0ms

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

series82.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

82.0ms

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

simplify46.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5042	513

prune29.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

Compiler

Compiled 487 to 218 computations (55.2% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite26.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64_1425`
8×	`times-frac_binary64_1431`
7×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
6×	`add-sqr-sqrt_binary64_1446`
4×	`add-cube-cbrt_binary64_1457` `associate-/l*_binary64_1372` `add-log-exp_binary64_1461`
3×	`distribute-lft-out--_binary64_1379` `distribute-lft-out_binary64_1378` `div-inv_binary64_1422`
2×	`div-exp_binary64_1473` `associate-/l/_binary64_1374` `pow1_binary64_1483` `cbrt-undiv_binary64_1456`
1×	`flip--_binary64_1400` `diff-log_binary64_1514` `frac-2neg_binary64_1436` `associate-/r*_binary64_1371` `distribute-rgt-out--_binary64_1381` `prod-exp_binary64_1471` `flip3-+_binary64_1428` `sub-neg_binary64_1418` `cbrt-unprod_binary64_1455` `clear-num_binary64_1424` `sub-div_binary64_1432` `difference-of-squares_binary64_1394` `flip-+_binary64_1399` `frac-sub_binary64_1434` `flip3--_binary64_1429`

Counts

2 → 43

Calls

2 calls:

13.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
9.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

series124.0ms (3.8%)

Counts

2 → 6

Calls

2 calls:

69.0ms	(-.f64 (/.f64 (+.f64 x y) (.f64 t 2)) (/.f64 z (.f64 t 2)))
55.0ms	(/.f64 (+.f64 x y) (*.f64 t 2))

simplify40.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5086	844

prune43.0ms (1.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	49	4	53

Merged error: 0b

Counts

53 → 4

Compiler

Compiled 901 to 493 computations (45.3% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1446`
14×	`*-un-lft-identity_binary64_1425`
13×	`associate-r_binary64_1367`
10×	`times-frac_binary64_1431`
9×	`add-cube-cbrt_binary64_1457`
6×	`associate-l_binary64_1368` `add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
3×	`pow1_binary64_1483`
2×	`flip--_binary64_1400` `distribute-lft-out--_binary64_1379` `unswap-sqr_binary64_1393` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `associate-*l/_binary64_1370` `flip3--_binary64_1429` `frac-times_binary64_1435`
1×	`associate-r/_binary64_1369` `distribute-lft-out_binary64_1378` `div-inv_binary64_1422` `difference-of-squares_binary64_1394` `div-exp_binary64_1473` `cbrt-undiv_binary64_1456` `add-log-exp_binary64_1461` `-commutative_binary64_1358` `pow-prod-down_binary64_1493`

Counts

1 → 39

Calls

1 calls:

13.0ms

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

series78.0ms (2.4%)

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify47.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5231	697

prune30.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	42	4	46

Merged error: 0b

Counts

46 → 4

Compiler

Compiled 649 to 286 computations (55.9% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))
0.6b	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))

rewrite110.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

831×	`times-frac_binary64_1431`
589×	`*-un-lft-identity_binary64_1425`
445×	`add-sqr-sqrt_binary64_1446`
349×	`add-cube-cbrt_binary64_1457`
96×	`distribute-lft-out--_binary64_1379`
93×	`associate-/r*_binary64_1371`
48×	`distribute-lft-out_binary64_1378` `difference-of-squares_binary64_1394`
28×	`add-exp-log_binary64_1460`
22×	`div-inv_binary64_1422`
18×	`div-exp_binary64_1473`
16×	`add-cbrt-cube_binary64_1458`
9×	`cbrt-undiv_binary64_1456`
6×	`associate-/r/_binary64_1373` `associate-/l*_binary64_1372`
3×	`pow1_binary64_1483` `1-exp_binary64_1466` `rec-exp_binary64_1472`
2×	`frac-2neg_binary64_1436` `clear-num_binary64_1424` `add-log-exp_binary64_1461`
1×	`pow-flip_binary64_1496` `inv-pow_binary64_1507`

Counts

2 → 418

Calls

2 calls:

24.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))
12.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))

series226.0ms (6.9%)

Counts

2 → 6

Calls

2 calls:

125.0ms	(/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2))
100.0ms	(/.f64 1 (/.f64 t (/.f64 (-.f64 (+.f64 x y) z) 2)))

simplify150.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

424 → 424

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5016	12305

prune433.0ms (13.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	424	0	424
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	424	4	428

Merged error: 0b

Counts

428 → 4

Compiler

Compiled 9532 to 4194 computations (56% saved)

regimes154.0ms (4.7%)

Compiler: Compiled 992 to 908 computations (8.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	13
1	22	13

end0.0ms (0%)

sample824.0ms (25%)

Algorithm

1×

intervals

Results

260.0ms	8000×	body	128	valid
94.0ms	2751×	body	128	invalid

Compiler

Compiled 137 to 126 computations (8% saved)

Details

analyze468.0ms (14.2%)

sample23.0ms (0.7%)

simplify298.0ms (9.1%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite13.0ms (0.4%)

series82.0ms (2.5%)

simplify46.0ms (1.4%)

prune29.0ms (0.9%)

localize8.0ms (0.2%)

rewrite26.0ms (0.8%)

series124.0ms (3.8%)

simplify40.0ms (1.2%)

prune43.0ms (1.3%)

localize7.0ms (0.2%)

rewrite17.0ms (0.5%)

series78.0ms (2.4%)

simplify47.0ms (1.4%)

prune30.0ms (0.9%)

localize10.0ms (0.3%)

rewrite110.0ms (3.3%)

series226.0ms (6.9%)

simplify150.0ms (4.6%)

prune433.0ms (13.1%)

regimes154.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample824.0ms (25%)

Profiling