Details

analyze7.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample34.0ms (1%)

Algorithm

1×

intervals

Results

10.0ms	59×	body	512	valid
9.0ms	159×	body	128	valid
3.0ms	30×	body	256	valid
2.0ms	8×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify221.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune5.0ms (0.1%)

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

Merged error: 13.1b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
3.2b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite83.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64_1442`
69×	`times-frac_binary64_1448`
66×	`add-sqr-sqrt_binary64_1464`
30×	`add-cube-cbrt_binary64_1477`
27×	`cancel-sign-sub-inv_binary64_1408`
26×	`distribute-lft-out--_binary64_1394`
15×	`difference-of-squares_binary64_1411`
10×	`distribute-lft-out_binary64_1393`
6×	`div-inv_binary64_1439` `associate-/r/_binary64_1388` `add-exp-log_binary64_1480`
4×	`associate-/r*_binary64_1386` `add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481`
3×	`associate-/l*_binary64_1387` `difference-of-sqr-1_binary64_1412` `flip--_binary64_1417` `pow1_binary64_1503`
2×	`flip3--_binary64_1446` `flip-+_binary64_1416` `div-exp_binary64_1493`
1×	`inv-pow_binary64_1527` `cbrt-undiv_binary64_1476` `sub-neg_binary64_1435` `clear-num_binary64_1441` `1-exp_binary64_1486` `frac-sub_binary64_1451` `rec-exp_binary64_1492` `pow-flip_binary64_1516` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `flip3-+_binary64_1445`

Counts

2 → 102

Calls

2 calls:

50.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
12.0ms	(/.f64 1 (+.f64 x 1))

series138.0ms (4.3%)

Counts

2 → 6

Calls

2 calls:

109.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
29.0ms	(/.f64 1 (+.f64 x 1))

simplify80.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5097	1731

prune149.0ms (4.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	108	1	109

Merged error: 0.3b

Counts

109 → 1

Compiler

Compiled 1798 to 1479 computations (17.7% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`times-frac_binary64_1448` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
3×	`associate-/r_binary64_1386` `add-cbrt-cube_binary64_1478` `associate-/l_binary64_1387` `add-exp-log_binary64_1480`
2×	`associate-/r/_binary64_1388`
1×	`cbrt-undiv_binary64_1476` `div-inv_binary64_1439` `clear-num_binary64_1441` `add-log-exp_binary64_1481` `frac-2neg_binary64_1453` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1_binary64_1503` `div-exp_binary64_1493`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series39.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

39.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

simplify69.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5269	557

prune33.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	28	4	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	5	33

Merged error: 0.3b

Counts

33 → 5

Compiler

Compiled 532 to 367 computations (31% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 -2)
15.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
15.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
15.2b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1473`
8×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`cbrt-div_binary64_1474`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1/3_binary64_1524` `pow1_binary64_1503`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 50

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
2.0ms	(cbrt.f64 -2)

series313.0ms (9.6%)

Counts

4 → 10

Calls

4 calls:

112.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
104.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
97.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
0.0ms	(cbrt.f64 -2)

simplify110.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5188	980

prune148.0ms (4.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	1	60
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	59	6	65

Merged error: 0.3b

Counts

65 → 6

Compiler

Compiled 2230 to 1609 computations (27.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))) 3)
0.3b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
9.5b	(cbrt.f64 (pow.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))) 3))

rewrite33.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64_1448`
41×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
36×	`cbrt-prod_binary64_1473`
30×	`cube-prod_binary64_1470` `unpow-prod-down_binary64_1521`
10×	`associate-/r/_binary64_1388`
8×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480`
5×	`div-inv_binary64_1439` `flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`pow1_binary64_1503`
3×	`associate-/r_binary64_1386` `associate-/l_binary64_1387` `pow-unpow_binary64_1519` `add-log-exp_binary64_1481`
2×	`cbrt-undiv_binary64_1476` `cube-mult_binary64_1472` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `cube-div_binary64_1471` `div-exp_binary64_1493`
1×	`cbrt-div_binary64_1474` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `pow1/3_binary64_1524` `pow-to-exp_binary64_1511` `rem-cbrt-cube_binary64_1466` `pow-pow_binary64_1514`

Counts

3 → 125

Calls

3 calls:

9.0ms	(pow.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))) 3)
8.0ms	(cbrt.f64 (pow.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))) 3))
5.0ms	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series190.0ms (5.9%)

Counts

3 → 9

Calls

3 calls:

72.0ms	(cbrt.f64 (pow.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))) 3))
65.0ms	(/.f64 -2 (+.f64 -1 (*.f64 x x)))
53.0ms	(pow.f64 (/.f64 -2 (+.f64 -1 (*.f64 x x))) 3)

simplify57.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5144	2536

prune178.0ms (5.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	134	6	140

Merged error: 0.3b

Counts

140 → 6

Compiler

Compiled 2173 to 1565 computations (28% saved)

regimes117.0ms (3.6%)

Compiler: Compiled 876 to 686 computations (21.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample1.2s (36.4%)

Algorithm

1×

intervals

Results

211.0ms	2058×	body	512	valid
169.0ms	4570×	body	128	valid
71.0ms	982×	body	256	valid
55.0ms	390×	body	1024	valid

Compiler

Compiled 445 to 350 computations (21.3% saved)

Details

analyze7.0ms (0.2%)

sample34.0ms (1%)

simplify221.0ms (6.8%)

prune5.0ms (0.1%)

localize8.0ms (0.2%)

rewrite83.0ms (2.5%)

series138.0ms (4.3%)

simplify80.0ms (2.5%)

prune149.0ms (4.6%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series39.0ms (1.2%)

simplify69.0ms (2.1%)

prune33.0ms (1%)

localize12.0ms (0.4%)

rewrite23.0ms (0.7%)

series313.0ms (9.6%)

simplify110.0ms (3.4%)

prune148.0ms (4.6%)

localize8.0ms (0.2%)

rewrite33.0ms (1%)

series190.0ms (5.9%)

simplify57.0ms (1.7%)

prune178.0ms (5.5%)

regimes117.0ms (3.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.2s (36.4%)

Profiling