Details

analyze576.0ms (6.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1687	68
1	1687	68
0	3	3
1	3	3

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
26.5%	73.3%	0.1%	8
33.5%	66.3%	0.1%	9
49.1%	50.7%	0.1%	10
56.9%	42.9%	0.1%	11
60.8%	39%	0.1%	12
69%	30.9%	0.1%	13
72.5%	27.3%	0.1%	14

Symmetry

Compiler

Compiled 13 to 10 computations (23.1% saved)

sample34.0ms (0.4%)

Algorithm

1×

intervals

Results

10.0ms	85×	body	1024	valid
7.0ms	47×	body	2048	valid
3.0ms	34×	body	512	valid
2.0ms	67×	body	128	valid
1.0ms	23×	body	256	valid

Compiler

Compiled 25 to 22 computations (12% saved)

simplify29.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	504	17
1	504	17

prune3.0ms (0%)

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

Error

46.5b

Counts

2 → 1

Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
11.8b	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))

rewrite50.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

46.0b

Rules

13×	`add-log-exp_binary64_1481`
10×	`*-un-lft-identity_binary64_1442`
5×	`add-sqr-sqrt_binary64_1464`
4×	`sum-log_binary64_1533` `cancel-sign-sub-inv_binary64_1408`
3×	`diff-log_binary64_1534` `add-cube-cbrt_binary64_1477`
2×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `distribute-lft-out_binary64_1393` `distribute-lft-out--_binary64_1394`
1×	`flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `associate--r+_binary64_1378` `flip3-+_binary64_1445` `flip-+_binary64_1416` `+-commutative_binary64_1372`

Counts

2 → 32

Calls

2 calls:

9.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
4.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 684 to 235 computations (65.6% saved)

series210.0ms (2.3%)

Error

45.2b

Counts

2 → 36

Calls

2 calls:

117.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (+.f64 (*.f64 x y) z)))
73.0ms	(+.f64 (*.f64 x y) z)

Compiler

Compiled 916 to 565 computations (38.3% saved)

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5205	901

prune59.0ms (0.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	58	10	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	10	69

Error

45.1b

Counts

69 → 10

Compiler

Compiled 1093 to 427 computations (60.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
10.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
10.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
34.6b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite87.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

45.1b

Rules

10×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
9×	`add-log-exp_binary64_1481` `cbrt-prod_binary64_1473`
8×	`add-cube-cbrt_binary64_1477`
6×	`cbrt-div_binary64_1474`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`cancel-sign-sub-inv_binary64_1408` `pow1/3_binary64_1524` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`diff-log_binary64_1534`
1×	`sum-log_binary64_1533` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `associate--r+_binary64_1378`

Counts

4 → 57

Calls

4 calls:

6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 2300 to 411 computations (82.1% saved)

series801.0ms (8.6%)

Error

45.1b

Counts

4 → 69

Calls

4 calls:

202.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
198.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
196.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
126.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y)))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

Compiler

Compiled 5870 to 3410 computations (41.9% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5019	2309

prune290.0ms (3.1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	117	9	126
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	120	16	136

Error

45.1b

Counts

136 → 16

Compiler

Compiled 4055 to 1244 computations (69.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

10.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
10.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
10.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
35.7b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

rewrite111.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

45.1b

Rules

10×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
9×	`add-log-exp_binary64_1481` `cbrt-prod_binary64_1473`
8×	`add-cube-cbrt_binary64_1477`
6×	`cbrt-div_binary64_1474`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`cancel-sign-sub-inv_binary64_1408` `pow1/3_binary64_1524` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`diff-log_binary64_1534`
1×	`sum-log_binary64_1533` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `associate--r+_binary64_1378`

Counts

4 → 57

Calls

4 calls:

6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
2.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 3436 to 477 computations (86.1% saved)

series813.0ms (8.8%)

Error

45.1b

Counts

4 → 69

Calls

4 calls:

198.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
198.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
189.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
140.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (.f64 x y)))))) (cbrt.f64 (+.f64 z (*.f64 x y))))))

Compiler

Compiled 7934 to 3811 computations (52% saved)

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5143	3199

prune179.0ms (1.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	118	8	126
Fresh	2	13	15
Picked	1	0	1
Done	0	0	0
Total	121	21	142

Error

45.1b

Counts

142 → 21

Compiler

Compiled 6629 to 1317 computations (80.1% saved)

localize31.0ms (0.3%)

Local error

Found 4 expressions with local error:

10.5b	(cbrt.f64 (+.f64 z (*.f64 x y)))
35.7b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
35.7b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
35.7b	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))

rewrite255.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

45.1b

Rules

19×	`add-log-exp_binary64_1481`
14×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
9×	`cancel-sign-sub-inv_binary64_1408`
8×	`add-cube-cbrt_binary64_1477`
6×	`diff-log_binary64_1534`
4×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
3×	`sum-log_binary64_1533` `flip3--_binary64_1446` `sub-neg_binary64_1435` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `associate--r+_binary64_1378` `cbrt-prod_binary64_1473`
2×	`cbrt-div_binary64_1474`
1×	`pow1/3_binary64_1524` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 67

Calls

4 calls:

6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
6.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
3.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))

Compiler

Compiled 11021 to 1311 computations (88.1% saved)

series975.0ms (10.5%)

Error

44.9b

Counts

4 → 71

Calls

4 calls:

248.0ms	(cbrt.f64 (+.f64 z (*.f64 x y)))
189.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
188.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))
184.0ms	(-.f64 (fma.f64 x y z) (+.f64 1 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (+.f64 z (.f64 x y))) (cbrt.f64 (+.f64 z (.f64 x y))))) (cbrt.f64 (cbrt.f64 (+.f64 z (*.f64 x y)))))))))

Compiler

Compiled 19984 to 4768 computations (76.1% saved)

simplify146.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4908	5671
1	4908	5671

prune353.0ms (3.8%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	130	8	138
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	134	25	159

Error

44.9b

Counts

159 → 25

Compiler

Compiled 17844 to 2273 computations (87.3% saved)

regimes945.0ms (10.2%)

Accuracy

Total 1.6b remaining (3.5%)

Threshold costs 0b (0%)

Compiler

Compiled 22202 to 6812 computations (69.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	98	22
1	98	22

Removed

()

end0.0ms (0%)

sample3.1s (33.1%)

Algorithm

1×

intervals

Results

324.0ms	2673×	body	1024	valid
181.0ms	1188×	body	2048	valid
115.0ms	1243×	body	512	valid
77.0ms	2350×	body	128	valid
36.0ms	542×	body	256	valid
1.0ms	4×	body	4096	valid

Compiler

Compiled 5572 to 1723 computations (69.1% saved)

Details

analyze576.0ms (6.2%)

sample34.0ms (0.4%)

simplify29.0ms (0.3%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite50.0ms (0.5%)

series210.0ms (2.3%)

simplify72.0ms (0.8%)

prune59.0ms (0.6%)

localize12.0ms (0.1%)

rewrite87.0ms (0.9%)

series801.0ms (8.6%)

simplify70.0ms (0.8%)

prune290.0ms (3.1%)

localize20.0ms (0.2%)

rewrite111.0ms (1.2%)

series813.0ms (8.8%)

simplify73.0ms (0.8%)

prune179.0ms (1.9%)

localize31.0ms (0.3%)

rewrite255.0ms (2.8%)

series975.0ms (10.5%)

simplify146.0ms (1.6%)

prune353.0ms (3.8%)

regimes945.0ms (10.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.1s (33.1%)

Profiling