Details

analyze2.1s (13.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample149.0ms (1%)

Algorithm

1×

intervals

Results

41.0ms	256×	body	128	valid
41.0ms	303×	body	128	nan
11.0ms	36×	body	128	invalid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify273.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (103.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune6.0ms (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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
0.1b	(*.f64 (-.f64 b 1/2) (log.f64 c))
0.3b	(*.f64 x (log.f64 y))

rewrite105.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-log-exp_binary64_1481`
25×	`sum-log_binary64_1533`
20×	`add-sqr-sqrt_binary64_1464`
18×	`log-prod_binary64_1528`
16×	`*-un-lft-identity_binary64_1442`
14×	`add-cube-cbrt_binary64_1477`
10×	`pow1_binary64_1503`
9×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
8×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `add-exp-log_binary64_1480`
6×	`associate-+r+_binary64_1374` `associate-*l/_binary64_1385`
4×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `frac-add_binary64_1450`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`cbrt-unprod_binary64_1475` `associate-+l+_binary64_1375` `log-pow_binary64_1531` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`
1×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`

Counts

4 → 95

Calls

4 calls:

36.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
29.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
13.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
9.0ms	(*.f64 x (log.f64 y))

series1.5s (9.6%)

Counts

4 → 12

Calls

4 calls:

910.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
440.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
72.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
58.0ms	(*.f64 x (log.f64 y))

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5643	2546

prune256.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	98	9	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	9	108

Merged error: 0.0b

Counts

108 → 9

Compiler

Compiled 3395 to 1260 computations (62.9% saved)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.3b	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite63.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64_1528`
36×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
30×	`cbrt-prod_binary64_1473`
26×	`add-sqr-sqrt_binary64_1464`
24×	`associate-+l+_binary64_1375` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`associate-+r+_binary64_1374`
7×	`pow1_binary64_1503`
6×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480`
5×	`associate-r_binary64_1382`
3×	`associate-l_binary64_1383` `pow1/3_binary64_1524`
2×	`log-pow_binary64_1531`
1×	`cbrt-unprod_binary64_1475` `sum-log_binary64_1533` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `distribute-lft-out_binary64_1393` `flip3-+_binary64_1445` `flip-+_binary64_1416` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

4 → 102

Calls

4 calls:

22.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
11.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
3.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series615.0ms (4%)

Counts

4 → 12

Calls

4 calls:

168.0ms	(cbrt.f64 y)
164.0ms	(cbrt.f64 y)
146.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
137.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))

simplify227.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (189.0ms)

Iter	Nodes	Cost
0	4850	1278
1	4850	1278

prune324.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	115	8	123

Merged error: 0.0b

Counts

123 → 8

Compiler

Compiled 4084 to 1878 computations (54% saved)

localize60.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))
0.6b	(cbrt.f64 y)
4.1b	(pow.f64 y 1/6)
4.1b	(pow.f64 y 1/6)

rewrite52.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_1464`
24×	`unpow-prod-down_binary64_1521`
18×	`add-exp-log_binary64_1480`
17×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
12×	`sqr-pow_binary64_1414`
9×	`prod-exp_binary64_1491` `unswap-sqr_binary64_1410`
8×	`pow-exp_binary64_1510` `pow-to-exp_binary64_1511`
7×	`associate-r_binary64_1382` `swap-sqr_binary64_1409` `associate-l_binary64_1383`
6×	`add-cbrt-cube_binary64_1478` `pow-unpow_binary64_1519` `pow1_binary64_1503`
4×	`add-log-exp_binary64_1481`
3×	`cbrt-prod_binary64_1473`
2×	`pow-pow_binary64_1514`
1×	`pow2_binary64_1523` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `pow-sqr_binary64_1415` `pow1/3_binary64_1524` `pow-prod-up_binary64_1512`

Counts

4 → 97

Calls

4 calls:

19.0ms	(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))
5.0ms	(pow.f64 y 1/6)
4.0ms	(pow.f64 y 1/6)
2.0ms	(cbrt.f64 y)

series635.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

175.0ms	(pow.f64 y 1/6)
161.0ms	(*.f64 (pow.f64 y 1/6) (pow.f64 y 1/6))
156.0ms	(cbrt.f64 y)
143.0ms	(pow.f64 y 1/6)

simplify436.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5011	805

prune349.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	109	8	117

Merged error: 0.0b

Counts

117 → 8

Compiler

Compiled 4294 to 2375 computations (44.7% saved)

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite21.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_1473`
9×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1/3_binary64_1524` `pow1_binary64_1503`

Counts

4 → 47

Calls

4 calls:

3.0ms	(cbrt.f64 (cbrt.f64 y))
3.0ms	(cbrt.f64 y)
3.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series721.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

226.0ms	(cbrt.f64 (cbrt.f64 y))
170.0ms	(cbrt.f64 y)
165.0ms	(cbrt.f64 y)
159.0ms	(cbrt.f64 y)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4984	391
1	4984	391

prune157.0ms (1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	59	8	67

Merged error: 0.0b

Counts

67 → 8

Compiler

Compiled 2313 to 939 computations (59.4% saved)

regimes1.3s (8.6%)

Compiler: Compiled 9284 to 7574 computations (18.4% saved)

bsearch0.0ms (0%)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	48
1	51	48

end0.0ms (0%)

sample5.8s (37.5%)

Algorithm

1×

intervals

Results

1.4s	9699×	body	128	nan
1.3s	7998×	body	128	valid
212.0ms	1224×	body	128	invalid
1.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 820 to 669 computations (18.4% saved)

Details

analyze2.1s (13.5%)

sample149.0ms (1%)

simplify273.0ms (1.8%)

prune6.0ms (0%)

localize36.0ms (0.2%)

rewrite105.0ms (0.7%)

series1.5s (9.6%)

simplify102.0ms (0.7%)

prune256.0ms (1.7%)

localize45.0ms (0.3%)

rewrite63.0ms (0.4%)

series615.0ms (4%)

simplify227.0ms (1.5%)

prune324.0ms (2.1%)

localize60.0ms (0.4%)

rewrite52.0ms (0.3%)

series635.0ms (4.1%)

simplify436.0ms (2.8%)

prune349.0ms (2.3%)

localize59.0ms (0.4%)

rewrite21.0ms (0.1%)

series721.0ms (4.7%)

simplify59.0ms (0.4%)

prune157.0ms (1%)

regimes1.3s (8.6%)

bsearch0.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample5.8s (37.5%)

Profiling