Details

analyze158.0ms (1.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5047	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	50%	50%	0
0%	50%	50%	1
0%	50%	50%	2
0%	50%	50%	3
37.5%	12.5%	50%	4
43.7%	6.2%	50%	5
46.9%	3.1%	50%	6
48.4%	1.6%	50%	7
49.2%	0.8%	50%	8
49.6%	0.4%	50%	9
49.8%	0.2%	50%	10
49.9%	0.1%	50%	11
49.9%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

Compiler

Compiled 29 to 20 computations (31% saved)

sample27.0ms (0.2%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	256×	pre	128	true

Compiler

Compiled 54 to 38 computations (29.6% saved)

simplify82.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5047	13

prune9.0ms (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

Error

0.2b

Counts

2 → 2

Compiler

Compiled 43 to 33 computations (23.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 4 (/.f64 1 (*.f64 i i)))
0.2b	(/.f64 1 (*.f64 i i))
0.2b	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))

rewrite181.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

45×	`add-sqr-sqrt_binary64_1464`
40×	`times-frac_binary64_1448` `*-un-lft-identity_binary64_1442`
20×	`add-cube-cbrt_binary64_1477`
16×	`add-exp-log_binary64_1480`
15×	`difference-of-squares_binary64_1411`
11×	`pow1_binary64_1503`
10×	`add-cbrt-cube_binary64_1478` `distribute-lft-out--_binary64_1394`
9×	`associate-/r*_binary64_1386`
8×	`div-inv_binary64_1439`
7×	`cancel-sign-sub-inv_binary64_1408`
6×	`associate-/l*_binary64_1387` `pow-flip_binary64_1516`
5×	`div-exp_binary64_1493` `add-log-exp_binary64_1481`
3×	`cbrt-undiv_binary64_1476` `prod-exp_binary64_1491`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `flip3--_binary64_1446` `associate-/r/_binary64_1388` `flip--_binary64_1417` `1-exp_binary64_1486` `rec-exp_binary64_1492`
1×	`inv-pow_binary64_1527` `pow2_binary64_1523` `pow-prod-down_binary64_1513` `pow-prod-up_binary64_1512` `pow-plus_binary64_1505` `pow-sqr_binary64_1415` `cbrt-unprod_binary64_1475` `diff-log_binary64_1534` `sub-neg_binary64_1435`

Counts

3 → 104

Calls

3 calls:

13.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
6.0ms	(-.f64 4 (/.f64 1 (*.f64 i i)))
5.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 1735 to 1291 computations (25.6% saved)

series122.0ms (1%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

46.0ms	(/.f64 1/4 (-.f64 4 (/.f64 1 (*.f64 i i))))
42.0ms	(-.f64 4 (/.f64 1 (*.f64 i i)))
18.0ms	(/.f64 1 (*.f64 i i))

Compiler

Compiled 502 to 466 computations (7.2% saved)

simplify125.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4855	1662
1	4855	1662

prune147.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	123	4	127

Error

Counts

127 → 4

Compiler

Compiled 1689 to 1275 computations (24.5% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 2 (/.f64 1 i))
0.0b	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
0.1b	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
0.1b	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

rewrite482.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

123×	`add-sqr-sqrt_binary64_1464`
108×	`*-un-lft-identity_binary64_1442`
107×	`times-frac_binary64_1448`
55×	`add-cube-cbrt_binary64_1477`
30×	`associate-r_binary64_1382`
24×	`difference-of-squares_binary64_1411`
21×	`associate-l_binary64_1383`
20×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `div-inv_binary64_1439`
16×	`distribute-lft-out--_binary64_1394`
14×	`distribute-lft-out_binary64_1393`
13×	`associate-/r*_binary64_1386` `cancel-sign-sub-inv_binary64_1408`
8×	`associate-/r/_binary64_1388`
6×	`pow1_binary64_1503` `div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `associate-/l*_binary64_1387`
4×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`pow-prod-down_binary64_1513` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `*-commutative_binary64_1373` `diff-log_binary64_1534` `sub-neg_binary64_1435`

Counts

4 → 190

Calls

4 calls:

33.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
16.0ms	(-.f64 2 (/.f64 1 i))
9.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
8.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))

Compiler

Compiled 4768 to 4180 computations (12.3% saved)

series183.0ms (1.5%)

Error

Counts

4 → 42

Calls

4 calls:

48.0ms	(*.f64 (/.f64 1/2 (+.f64 2 (/.f64 1 i))) (/.f64 1/2 (-.f64 2 (/.f64 1 i))))
32.0ms	(/.f64 1/2 (+.f64 2 (/.f64 1 i)))
31.0ms	(/.f64 1/2 (-.f64 2 (/.f64 1 i)))
17.0ms	(-.f64 2 (/.f64 1 i))

Compiler

Compiled 1445 to 1285 computations (11.1% saved)

simplify121.0ms (1%)

Algorithm

1×	egg-herbie

Counts

232 → 232

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5012	4022

prune352.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	232	4	236

Error

Counts

236 → 4

Compiler

Compiled 4850 to 4173 computations (14% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.8b	(/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (.f64 (cbrt.f64 (+.f64 4 (/.f64 -1 (.f64 i i)))) (cbrt.f64 (+.f64 4 (/.f64 -1 (.f64 i i))))))
14.2b	(cbrt.f64 (+.f64 4 (/.f64 -1 (*.f64 i i))))
14.2b	(cbrt.f64 (+.f64 4 (/.f64 -1 (*.f64 i i))))
14.2b	(cbrt.f64 (+.f64 4 (/.f64 -1 (*.f64 i i))))

rewrite260.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`cbrt-div_binary64_1474`
16×	`add-exp-log_binary64_1480`
13×	`*-un-lft-identity_binary64_1442`
12×	`cbrt-prod_binary64_1473`
9×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
8×	`add-cbrt-cube_binary64_1478` `associate-/r/_binary64_1388`
7×	`add-cube-cbrt_binary64_1477` `add-sqr-sqrt_binary64_1464`
4×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `prod-exp_binary64_1491` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `frac-times_binary64_1452`
3×	`pow1/3_binary64_1524` `distribute-lft-out_binary64_1393`
2×	`associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`frac-2neg_binary64_1453` `times-frac_binary64_1448` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/l_binary64_1387` `associate-/r_binary64_1386`

Counts

4 → 71

Calls

4 calls:

38.0ms	(/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (.f64 (cbrt.f64 (+.f64 4 (/.f64 -1 (.f64 i i)))) (cbrt.f64 (+.f64 4 (/.f64 -1 (.f64 i i))))))
7.0ms	(cbrt.f64 (+.f64 4 (/.f64 -1 (*.f64 i i))))
5.0ms	(cbrt.f64 (+.f64 4 (/.f64 -1 (*.f64 i i))))
5.0ms	(cbrt.f64 (+.f64 4 (/.f64 -1 (*.f64 i i))))

Compiler

Compiled 3438 to 2540 computations (26.1% saved)

series661.0ms (5.6%)

Error

Counts

4 → 39

Calls

4 calls:

233.0ms	(/.f64 (.f64 (cbrt.f64 1/4) (cbrt.f64 1/4)) (.f64 (cbrt.f64 (+.f64 4 (/.f64 -1 (.f64 i i)))) (cbrt.f64 (+.f64 4 (/.f64 -1 (.f64 i i))))))
117.0ms	(cbrt.f64 (+.f64 4 (/.f64 -1 (*.f64 i i))))
108.0ms	(cbrt.f64 (+.f64 4 (/.f64 -1 (*.f64 i i))))
101.0ms	(cbrt.f64 (+.f64 4 (/.f64 -1 (*.f64 i i))))

Compiler

Compiled 3700 to 3236 computations (12.5% saved)

simplify85.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5285	2283

prune342.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	110	0	110
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	110	4	114

Error

Counts

114 → 4

Compiler

Compiled 4266 to 3392 computations (20.5% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.f64 1/4 (/.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6))) (+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 4 (*.f64 i i))))))
0.2b	(/.f64 1 (pow.f64 i 6))
0.4b	(/.f64 1 (pow.f64 i 4))
23.3b	(/.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6))) (+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 4 (*.f64 i i)))))

rewrite3.4s (28.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

824×	`*-un-lft-identity_binary64_1442`
822×	`times-frac_binary64_1448`
676×	`add-sqr-sqrt_binary64_1464`
305×	`distribute-lft-out_binary64_1393`
217×	`difference-of-squares_binary64_1411`
211×	`add-cube-cbrt_binary64_1477`
100×	`div-inv_binary64_1439`
98×	`associate-/r*_binary64_1386`
86×	`unpow-prod-down_binary64_1521`
70×	`sqr-pow_binary64_1414`
62×	`distribute-lft-out--_binary64_1394`
29×	`add-exp-log_binary64_1480`
21×	`associate-/l*_binary64_1387`
16×	`div-exp_binary64_1493`
15×	`add-cbrt-cube_binary64_1478`
11×	`associate-/r/_binary64_1388`
6×	`cbrt-undiv_binary64_1476` `pow-to-exp_binary64_1511` `1-exp_binary64_1486` `pow-exp_binary64_1510` `rec-exp_binary64_1492`
5×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
4×	`pow1_binary64_1503` `add-log-exp_binary64_1481` `frac-2neg_binary64_1453` `clear-num_binary64_1441`
2×	`associate-/l/_binary64_1389` `inv-pow_binary64_1527` `pow-flip_binary64_1516`
1×	`div-sub_binary64_1447` `flip3--_binary64_1446` `flip--_binary64_1417`

Counts

4 → 543

Calls

4 calls:

75.0ms	(/.f64 1/4 (/.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6))) (+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 4 (*.f64 i i))))))
41.0ms	(/.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6))) (+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 4 (*.f64 i i)))))
5.0ms	(/.f64 1 (pow.f64 i 6))
5.0ms	(/.f64 1 (pow.f64 i 4))

Compiler

Compiled 22757 to 18503 computations (18.7% saved)

series271.0ms (2.3%)

Error

Counts

4 → 24

Calls

4 calls:

87.0ms	(/.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6))) (+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 4 (*.f64 i i)))))
83.0ms	(/.f64 1/4 (/.f64 (-.f64 64 (/.f64 1 (pow.f64 i 6))) (+.f64 16 (+.f64 (/.f64 1 (pow.f64 i 4)) (/.f64 4 (*.f64 i i))))))
47.0ms	(/.f64 1 (pow.f64 i 6))
36.0ms	(/.f64 1 (pow.f64 i 4))

Compiler

Compiled 835 to 737 computations (11.7% saved)

simplify310.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

567 → 567

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4903	23543
1	4903	23543

prune2.5s (21.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	567	0	567
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	567	4	571

Error

Counts

571 → 4

Compiler

Compiled 20748 to 16591 computations (20% saved)

regimes158.0ms (1.3%)

Accuracy

Total 0.1b remaining (99.7%)

Threshold costs 0.1b (99.7%)

Compiler

Compiled 1516 to 1283 computations (15.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	35	22
1	35	22

end0.0ms (0%)

sample1.8s (15.4%)

Algorithm

1×

intervals

Results

518.0ms	8000×	body	128	valid
112.0ms	8000×	pre	128	true

Compiler

Compiled 738 to 632 computations (14.4% saved)

Details

analyze158.0ms (1.3%)

sample27.0ms (0.2%)

simplify82.0ms (0.7%)

prune9.0ms (0.1%)

localize12.0ms (0.1%)

rewrite181.0ms (1.5%)

series122.0ms (1%)

simplify125.0ms (1.1%)

prune147.0ms (1.2%)

localize8.0ms (0.1%)

rewrite482.0ms (4.1%)

series183.0ms (1.5%)

simplify121.0ms (1%)

prune352.0ms (3%)

localize14.0ms (0.1%)

rewrite260.0ms (2.2%)

series661.0ms (5.6%)

simplify85.0ms (0.7%)

prune342.0ms (2.9%)

localize18.0ms (0.2%)

rewrite3.4s (28.8%)

series271.0ms (2.3%)

simplify310.0ms (2.6%)

prune2.5s (21.1%)

regimes158.0ms (1.3%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (15.4%)

Profiling