Details

analyze178.0ms (1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22
0	1	1
1	1	1

Search

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

Compiler

Compiled 16 to 14 computations (12.5% saved)

sample43.0ms (0.2%)

Algorithm

1×

intervals

Results

11.0ms	42×	body	1024	valid
10.0ms	52×	body	512	valid
10.0ms	137×	body	128	valid
3.0ms	25×	body	256	valid

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify24.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	192	22
1	192	22

prune4.0ms (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

11.6b

Counts

2 → 1

Compiler

Compiled 30 to 26 computations (13.3% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
2.9b	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))

rewrite151.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`*-un-lft-identity_binary64_1442`
74×	`times-frac_binary64_1448`
72×	`add-sqr-sqrt_binary64_1464`
39×	`add-cube-cbrt_binary64_1477`
26×	`cancel-sign-sub-inv_binary64_1408`
18×	`distribute-lft-out--_binary64_1394`
17×	`distribute-lft-out_binary64_1393`
14×	`associate-+l+_binary64_1375` `difference-of-squares_binary64_1411`
12×	`add-exp-log_binary64_1480`
11×	`associate-/r*_binary64_1386` `add-log-exp_binary64_1481`
10×	`div-inv_binary64_1439`
8×	`add-cbrt-cube_binary64_1478`
6×	`associate-/l*_binary64_1387` `pow1_binary64_1503`
4×	`associate-/r/_binary64_1388` `difference-of-sqr-1_binary64_1412` `div-exp_binary64_1493`
3×	`flip3--_binary64_1446` `flip--_binary64_1417` `frac-add_binary64_1450`
2×	`inv-pow_binary64_1527` `cbrt-undiv_binary64_1476` `sum-log_binary64_1533` `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` `flip-+_binary64_1416`
1×	`+-commutative_binary64_1372` `associate-+l-_binary64_1377`

Counts

4 → 161

Calls

4 calls:

73.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
34.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
10.0ms	(/.f64 1 (-.f64 x 1))
10.0ms	(/.f64 1 (+.f64 x 1))

series326.0ms (1.8%)

Counts

4 → 44

Calls

4 calls:

154.0ms	(+.f64 (-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1)))
66.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 2 x))
53.0ms	(/.f64 1 (-.f64 x 1))
53.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 858 to 740 computations (13.8% saved)

simplify144.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

205 → 205

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4937	3234
1	4937	3234

prune452.0ms (2.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	202	3	205
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	203	3	206

Error

0.3b

Counts

206 → 3

Compiler

Compiled 4150 to 3302 computations (20.4% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))
0.3b	(*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))
4.0b	(-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)))
16.3b	(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))

rewrite914.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Rules

1125×	`times-frac_binary64_1448`
1051×	`*-un-lft-identity_binary64_1442`
960×	`add-sqr-sqrt_binary64_1464`
341×	`difference-of-squares_binary64_1411`
308×	`distribute-lft-out--_binary64_1394`
283×	`add-cube-cbrt_binary64_1477`
247×	`cancel-sign-sub-inv_binary64_1408`
100×	`difference-of-sqr-1_binary64_1412`
93×	`div-inv_binary64_1439`
58×	`frac-sub_binary64_1451`
45×	`flip3--_binary64_1446` `flip--_binary64_1417`
39×	`associate-/r/_binary64_1388`
35×	`associate-/l*_binary64_1387`
28×	`associate--l+_binary64_1379` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`
27×	`frac-times_binary64_1452`
24×	`distribute-lft-out_binary64_1393`
23×	`associate-/r*_binary64_1386`
21×	`swap-sqr_binary64_1409`
18×	`associate-/l/_binary64_1389`
17×	`add-exp-log_binary64_1480`
14×	`pow1_binary64_1503`
13×	`associate-r_binary64_1382` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383`
9×	`associate-r/_binary64_1384` `associate-l/_binary64_1385`
7×	`div-exp_binary64_1493`
6×	`add-log-exp_binary64_1481`
5×	`sub-neg_binary64_1435`
4×	`cbrt-undiv_binary64_1476`
2×	`pow-div_binary64_1517` `clear-num_binary64_1441` `frac-2neg_binary64_1453`
1×	`pow2_binary64_1523` `inv-pow_binary64_1527` `cbrt-unprod_binary64_1475` `pow-plus_binary64_1505` `1-exp_binary64_1486` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `rec-exp_binary64_1492` `pow-sqr_binary64_1415` `pow-flip_binary64_1516` `diff-log_binary64_1534` `prod-exp_binary64_1491` `div-sub_binary64_1447` `pow-prod-up_binary64_1512` `unswap-sqr_binary64_1410`

Counts

4 → 791

Calls

4 calls:

268.0ms	(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))
199.0ms	(-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)))
87.0ms	(*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))
31.0ms	(/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))

series632.0ms (3.6%)

Counts

4 → 44

Calls

4 calls:

306.0ms	(/.f64 (-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))) (-.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (/.f64 1 (-.f64 x 1))))
156.0ms	(-.f64 (*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x))) (/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1)))
91.0ms	(*.f64 (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)) (-.f64 (/.f64 1 (+.f64 1 x)) (/.f64 2 x)))
77.0ms	(/.f64 (/.f64 1 (-.f64 x 1)) (-.f64 x 1))

Compiler

Compiled 1612 to 1380 computations (14.4% saved)

simplify549.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

835 → 835

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5107	37365

prune8.7s (49.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	834	1	835
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	834	4	838

Error

0.3b

Counts

838 → 4

Compiler

Compiled 48528 to 38548 computations (20.6% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (pow.f64 x 3) x)
0.0b	(.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2)))
0.0b	(/.f64 (+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x))) (-.f64 (pow.f64 x 3) x))
17.8b	(+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x)))

rewrite142.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

62×	`add-sqr-sqrt_binary64_1464`
42×	`associate-*r/_binary64_1384`
39×	`*-un-lft-identity_binary64_1442`
32×	`flip3--_binary64_1446` `flip--_binary64_1417` `frac-add_binary64_1450`
27×	`times-frac_binary64_1448`
22×	`difference-of-squares_binary64_1411`
21×	`add-cube-cbrt_binary64_1477`
20×	`frac-times_binary64_1452`
18×	`associate-/l/_binary64_1389` `flip3-+_binary64_1445` `flip-+_binary64_1416`
10×	`associate-*l/_binary64_1385`
9×	`associate-/r*_binary64_1386`
8×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480`
7×	`cancel-sign-sub-inv_binary64_1408` `associate-l_binary64_1383`
6×	`pow1_binary64_1503` `distribute-lft-out--_binary64_1394`
5×	`sub-neg_binary64_1435` `cube-prod_binary64_1470` `distribute-rgt-out--_binary64_1396` `distribute-lft-in_binary64_1391` `sqr-pow_binary64_1414` `unpow3_binary64_1508` `distribute-rgt-in_binary64_1392` `unpow-prod-down_binary64_1521`
4×	`associate-+l+_binary64_1375`
3×	`associate-r_binary64_1382` `associate-/l*_binary64_1387`
2×	`associate-/r/_binary64_1388` `associate-+r+_binary64_1374`
1×	`cbrt-undiv_binary64_1476` `cbrt-unprod_binary64_1475` `sum-log_binary64_1533` `div-inv_binary64_1439` `clear-num_binary64_1441` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `difference-of-sqr-1_binary64_1412` `frac-2neg_binary64_1453` `diff-log_binary64_1534` `prod-exp_binary64_1491` `div-exp_binary64_1493` `unswap-sqr_binary64_1410`

Counts

4 → 158

Calls

4 calls:

38.0ms	(/.f64 (+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x))) (-.f64 (pow.f64 x 3) x))
22.0ms	(+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x)))
18.0ms	(-.f64 (pow.f64 x 3) x)
18.0ms	(.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2)))

series340.0ms (1.9%)

Counts

4 → 28

Calls

4 calls:

121.0ms	(.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2)))
115.0ms	(/.f64 (+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x))) (-.f64 (pow.f64 x 3) x))
86.0ms	(-.f64 (pow.f64 x 3) x)
17.0ms	(+.f64 (.f64 (-.f64 x 1) (-.f64 x (.f64 (+.f64 1 x) 2))) (*.f64 x (+.f64 1 x)))

Compiler

Compiled 632 to 505 computations (20.1% saved)

simplify238.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (139.0ms)

Iter	Nodes	Cost
0	4939	6894
1	4939	6894

prune670.0ms (3.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	186	0	186
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	186	4	190

Error

0.3b

Counts

190 → 4

Compiler

Compiled 7376 to 5127 computations (30.5% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))
0.2b	(/.f64 2 (pow.f64 x 5))
0.4b	(/.f64 2 (pow.f64 x 3))

rewrite116.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

63×	`times-frac_binary64_1448`
54×	`*-un-lft-identity_binary64_1442`
46×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477`
24×	`unpow-prod-down_binary64_1521`
19×	`associate-/r*_binary64_1386`
13×	`add-exp-log_binary64_1480`
12×	`cube-prod_binary64_1470`
8×	`sqr-pow_binary64_1414`
7×	`add-cbrt-cube_binary64_1478`
6×	`associate-/l*_binary64_1387` `div-exp_binary64_1493`
5×	`add-log-exp_binary64_1481` `distribute-lft-out_binary64_1393`
4×	`cube-mult_binary64_1472` `div-inv_binary64_1439` `unpow3_binary64_1508`
3×	`pow1_binary64_1503`
2×	`cbrt-undiv_binary64_1476` `pow-exp_binary64_1510` `clear-num_binary64_1441` `frac-2neg_binary64_1453` `pow-to-exp_binary64_1511`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `flip3-+_binary64_1445` `flip-+_binary64_1416` `frac-add_binary64_1450`

Counts

3 → 127

Calls

3 calls:

83.0ms	(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))
9.0ms	(/.f64 2 (pow.f64 x 3))
7.0ms	(/.f64 2 (pow.f64 x 5))

series275.0ms (1.5%)

Counts

3 → 12

Calls

3 calls:

148.0ms	(+.f64 (/.f64 2 (pow.f64 x 3)) (/.f64 2 (pow.f64 x 5)))
69.0ms	(/.f64 2 (pow.f64 x 5))
57.0ms	(/.f64 2 (pow.f64 x 3))

Compiler

Compiled 237 to 219 computations (7.6% saved)

simplify137.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4948	1942
1	4948	1942

prune274.0ms (1.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	137	2	139
Fresh	1	0	1
Picked	0	1	1
Done	0	2	2
Total	138	5	143

Error

Counts

143 → 5

Compiler

Compiled 2284 to 1821 computations (20.3% saved)

regimes288.0ms (1.6%)

Accuracy

Total 0.3b remaining (98.9%)

Threshold costs 0.3b (98.9%)

Compiler

Compiled 1856 to 1564 computations (15.7% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample3.0s (17.2%)

Algorithm

1×

intervals

Results

353.0ms	1334×	body	1024	valid
322.0ms	4464×	body	128	valid
319.0ms	1513×	body	512	valid
100.0ms	689×	body	256	valid

Compiler

Compiled 944 to 796 computations (15.7% saved)

Details

analyze178.0ms (1%)

sample43.0ms (0.2%)

simplify24.0ms (0.1%)

prune4.0ms (0%)

localize17.0ms (0.1%)

rewrite151.0ms (0.8%)

series326.0ms (1.8%)

simplify144.0ms (0.8%)

prune452.0ms (2.5%)

localize28.0ms (0.2%)

rewrite914.0ms (5.2%)

series632.0ms (3.6%)

simplify549.0ms (3.1%)

prune8.7s (49.1%)

localize25.0ms (0.1%)

rewrite142.0ms (0.8%)

series340.0ms (1.9%)

simplify238.0ms (1.3%)

prune670.0ms (3.8%)

localize13.0ms (0.1%)

rewrite116.0ms (0.7%)

series275.0ms (1.5%)

simplify137.0ms (0.8%)

prune274.0ms (1.5%)

regimes288.0ms (1.6%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.0s (17.2%)

Profiling