Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

Compiler

Compiled 13 to 7 computations (46.2% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
4.0ms	256×	pre	128	true

Compiler

Compiled 22 to 12 computations (45.5% saved)

simplify237.0ms (11.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4762	10
1	4762	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (*.f64 x x) (pow.f64 x 3))

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_1481`
2×	`cube-mult_binary64_1472`
1×	`distribute-rgt-out_binary64_1395` `add-cbrt-cube_binary64_1478` `distribute-rgt1-in_binary64_1398` `sum-log_binary64_1533` `+-commutative_binary64_1372` `add-exp-log_binary64_1480` `distribute-lft-out_binary64_1393` `add-sqr-sqrt_binary64_1464` `unpow3_binary64_1508` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

series47.0ms (2.3%)

Counts

1 → 3

Calls

1 calls:

47.0ms

(+.f64 (*.f64 x x) (pow.f64 x 3))

simplify94.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4919	205
1	4919	205

prune16.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	15	3	18

Merged error: 0b

Counts

18 → 3

Compiler

Compiled 214 to 119 computations (44.4% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (+.f64 x 1) (.f64 x x))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
4×	`associate-l_binary64_1383` `*-un-lft-identity_binary64_1442`
3×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `add-sqr-sqrt_binary64_1464` `prod-exp_binary64_1491`
2×	`add-cube-cbrt_binary64_1477` `associate-*l/_binary64_1385`
1×	`associate-r_binary64_1382` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `distribute-lft-out_binary64_1393` `flip3-+_binary64_1445` `flip-+_binary64_1416` `unswap-sqr_binary64_1410`

Counts

1 → 22

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x 1) (*.f64 x x))

series37.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

37.0ms

(*.f64 (+.f64 x 1) (*.f64 x x))

simplify77.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4961	288
1	4961	288

prune17.0ms (0.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	25	0	25
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	25	3	28

Merged error: 0b

Counts

28 → 3

Compiler

Compiled 298 to 173 computations (41.9% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 x (+.f64 x (.f64 x x)))

rewrite8.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`associate-r_binary64_1382` `add-sqr-sqrt_binary64_1464`
4×	`*-un-lft-identity_binary64_1442`
3×	`add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `add-exp-log_binary64_1480` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477`
2×	`associate-*r/_binary64_1384`
1×	`distribute-rgt-out_binary64_1395` `distribute-rgt1-in_binary64_1398` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `add-log-exp_binary64_1481` `distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `distribute-rgt-in_binary64_1392` `flip-+_binary64_1416` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

1 → 24

Calls

1 calls:

6.0ms

(*.f64 x (+.f64 x (*.f64 x x)))

series42.0ms (2%)

Counts

1 → 3

Calls

1 calls:

42.0ms

(*.f64 x (+.f64 x (*.f64 x x)))

simplify95.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4925	307
1	4925	307

prune15.0ms (0.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	27	3	30

Merged error: 0b

Counts

30 → 3

Compiler

Compiled 326 to 89 computations (72.7% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 x 6) (pow.f64 x 9))
0.0b	(-.f64 (pow.f64 x 6) (pow.f64 x 5))
0.0b	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5)))
50.2b	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))

rewrite64.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Rules

65×	`*-un-lft-identity_binary64_1442`
31×	`add-sqr-sqrt_binary64_1464`
20×	`times-frac_binary64_1448`
19×	`distribute-lft-out_binary64_1393` `add-cube-cbrt_binary64_1477`
14×	`cancel-sign-sub-inv_binary64_1408`
13×	`add-log-exp_binary64_1481`
12×	`unpow-prod-down_binary64_1521`
9×	`difference-of-squares_binary64_1411`
8×	`sqr-pow_binary64_1414` `associate-+r+_binary64_1374`
7×	`distribute-lft-out--_binary64_1394`
6×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
5×	`associate-/r*_binary64_1386`
4×	`associate-/l*_binary64_1387` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1_binary64_1503`
3×	`sum-log_binary64_1533`
2×	`associate-/l/_binary64_1389` `associate-/r/_binary64_1388` `sub-neg_binary64_1435` `+-commutative_binary64_1372` `diff-log_binary64_1534`
1×	`cbrt-undiv_binary64_1476` `associate-+r-_binary64_1376` `div-inv_binary64_1439` `clear-num_binary64_1441` `flip3--_binary64_1446` `flip--_binary64_1417` `frac-2neg_binary64_1453` `div-exp_binary64_1493`

Counts

4 → 108

Calls

4 calls:

22.0ms	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
14.0ms	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5)))
9.0ms	(+.f64 (pow.f64 x 6) (pow.f64 x 9))
8.0ms	(-.f64 (pow.f64 x 6) (pow.f64 x 5))

series345.0ms (16.6%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 x 9)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5))))
92.0ms	(+.f64 (pow.f64 x 6) (pow.f64 x 9))
65.0ms	(-.f64 (pow.f64 x 6) (pow.f64 x 5))
16.0ms	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 x 6) (pow.f64 x 5)))

simplify106.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4865	2959
1	4865	2959

prune189.0ms (9.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	120	3	123

Merged error: 0b

Counts

123 → 3

Compiler

Compiled 3239 to 2441 computations (24.6% saved)

regimes80.0ms (3.8%)

Compiler: Compiled 224 to 152 computations (32.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample551.0ms (26.5%)

Algorithm

1×

intervals

Results

155.0ms	8000×	body	128	valid
116.0ms	8000×	pre	128	true

Compiler

Compiled 129 to 89 computations (31% saved)

Details

analyze1.0ms (0.1%)

sample13.0ms (0.6%)

simplify237.0ms (11.4%)

prune3.0ms (0.1%)

localize4.0ms (0.2%)

rewrite10.0ms (0.5%)

series47.0ms (2.3%)

simplify94.0ms (4.5%)

prune16.0ms (0.8%)

localize4.0ms (0.2%)

rewrite9.0ms (0.4%)

series37.0ms (1.8%)

simplify77.0ms (3.7%)

prune17.0ms (0.8%)

localize4.0ms (0.2%)

rewrite8.0ms (0.4%)

series42.0ms (2%)

simplify95.0ms (4.6%)

prune15.0ms (0.7%)

localize11.0ms (0.5%)

rewrite64.0ms (3.1%)

series345.0ms (16.6%)

simplify106.0ms (5.1%)

prune189.0ms (9.1%)

regimes80.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample551.0ms (26.5%)

Profiling