Details

analyze1.4s (8.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6568	928
0	8	8
1	8	8

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

Symmetry

(sort z t a)

Compiler

Compiled 22 to 21 computations (4.5% saved)

sample132.0ms (0.8%)

Algorithm

1×

intervals

Results

29.0ms	328×	body	128	nan
21.0ms	255×	body	128	valid
4.0ms	46×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 43 to 49 computations (-14% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	1958	32
1	1958	32

prune3.0ms (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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 42 to 40 computations (4.8% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite190.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383` `associate-r_binary64_1382`
6×	`associate-*l/_binary64_1385` `associate-+r+_binary64_1374`
4×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `frac-add_binary64_1450`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `log-pow_binary64_1531` `*-commutative_binary64_1373` `associate-+l+_binary64_1375` `+-commutative_binary64_1372`
1×	`difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`

Counts

4 → 95

Calls

4 calls:

18.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
15.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
7.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
5.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 3162 to 1066 computations (66.3% saved)

series3.3s (20.7%)

Error

0.1b

Counts

4 → 95

Calls

4 calls:

1.6s	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))
1.3s	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c)))
166.0ms	(*.f64 (-.f64 b 1/2) (log.f64 c))
140.0ms	(*.f64 x (log.f64 y))

Compiler

Compiled 4979 to 3449 computations (30.7% saved)

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5459	4211

prune211.0ms (1.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	183	7	190
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	184	7	191

Error

0.0b

Counts

191 → 7

Compiler

Compiled 4690 to 1538 computations (67.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite120.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`add-log-exp_binary64_1481`
12×	`add-sqr-sqrt_binary64_1464`
11×	`sum-log_binary64_1533`
10×	`pow1_binary64_1503` `*-un-lft-identity_binary64_1442`
8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `add-cube-cbrt_binary64_1477` `associate-l_binary64_1383`
7×	`associate-r_binary64_1382` `flip3-+_binary64_1445` `flip-+_binary64_1416`
6×	`associate-*r/_binary64_1384`
4×	`frac-add_binary64_1450`
2×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `log-pow_binary64_1531` `*-commutative_binary64_1373` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `associate-+r+_binary64_1374` `+-commutative_binary64_1372`
1×	`distribute-lft-out_binary64_1393` `associate-+l+_binary64_1375`

Counts

4 → 75

Calls

4 calls:

12.0ms	(+.f64 (+.f64 a (+.f64 z (+.f64 t (.f64 y i)))) (.f64 (log.f64 c) (+.f64 -1/2 b)))
6.0ms	(*.f64 (log.f64 c) (+.f64 -1/2 b))
4.0ms	(*.f64 (log.f64 y) x)
3.0ms	(+.f64 t (*.f64 y i))

Compiler

Compiled 2380 to 766 computations (67.8% saved)

series1.5s (9.2%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

1.0s	(+.f64 (+.f64 a (+.f64 z (+.f64 t (.f64 y i)))) (.f64 (log.f64 c) (+.f64 -1/2 b)))
162.0ms	(*.f64 (log.f64 c) (+.f64 -1/2 b))
139.0ms	(*.f64 (log.f64 y) x)
83.0ms	(+.f64 t (*.f64 y i))

Compiler

Compiled 3832 to 2644 computations (31% saved)

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4992	2344
1	4992	2344

prune141.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	147	0	147
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	147	7	154

Error

0.0b

Counts

154 → 7

Compiler

Compiled 3695 to 1165 computations (68.5% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.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)

rewrite177.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 102

Calls

4 calls:

12.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

Compiler

Compiled 3866 to 1605 computations (58.5% saved)

series728.0ms (4.5%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

292.0ms	(+.f64 (.f64 x (.f64 2 (log.f64 (cbrt.f64 y)))) (*.f64 x (log.f64 (cbrt.f64 y))))
263.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
75.0ms	(cbrt.f64 y)
72.0ms	(cbrt.f64 y)

Compiler

Compiled 1638 to 1318 computations (19.5% saved)

simplify127.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4850	1320
1	4850	1320

prune171.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	120	7	127

Error

0.0b

Counts

127 → 7

Compiler

Compiled 4132 to 1843 computations (55.4% saved)

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 (log.f64 (cbrt.f64 c)) (-.f64 b 1/2))
0.3b	(*.f64 (log.f64 y) x)
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite131.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`add-sqr-sqrt_binary64_1464`
14×	`*-un-lft-identity_binary64_1442`
12×	`add-cube-cbrt_binary64_1477`
10×	`pow1_binary64_1503`
9×	`associate-l_binary64_1383`
8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-r_binary64_1382`
6×	`cbrt-prod_binary64_1473` `cancel-sign-sub-inv_binary64_1408`
4×	`add-log-exp_binary64_1481` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
3×	`pow1/3_binary64_1524` `log-pow_binary64_1531`
2×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `-commutative_binary64_1373` `sub-neg_binary64_1435` `associate-r/_binary64_1384`
1×	`flip3--_binary64_1446` `flip--_binary64_1417` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (log.f64 (cbrt.f64 c)) (-.f64 b 1/2))
4.0ms	(*.f64 (log.f64 y) x)
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

Compiler

Compiled 2752 to 1083 computations (60.6% saved)

series664.0ms (4.1%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

342.0ms	(*.f64 (log.f64 (cbrt.f64 c)) (-.f64 b 1/2))
134.0ms	(*.f64 (log.f64 y) x)
81.0ms	(cbrt.f64 c)
74.0ms	(cbrt.f64 c)

Compiler

Compiled 2073 to 1536 computations (25.9% saved)

simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4894	874
1	4894	874

prune129.0ms (0.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	4	4
Picked	1	0	1
Done	0	2	2
Total	93	8	101

Error

0.0b

Counts

101 → 8

Compiler

Compiled 3309 to 1264 computations (61.8% saved)

regimes2.2s (13.5%)

Accuracy

Total 0.1b remaining (89.7%)

Threshold costs 0.1b (89.7%)

Compiler

Compiled 29163 to 24783 computations (15% saved)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	35
1	57	35

Remove

(sort z t a)

Compiler

Compiled 46 to 44 computations (4.3% saved)

end0.0ms (0%)

sample4.3s (27.1%)

Algorithm

1×

intervals

Results

720.0ms	9878×	body	128	nan
688.0ms	7998×	body	128	valid
101.0ms	1268×	body	128	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 2271 to 1931 computations (15% saved)

Details

analyze1.4s (8.9%)

sample132.0ms (0.8%)

simplify60.0ms (0.4%)

prune3.0ms (0%)

localize17.0ms (0.1%)

rewrite190.0ms (1.2%)

series3.3s (20.7%)

simplify72.0ms (0.4%)

prune211.0ms (1.3%)

localize17.0ms (0.1%)

rewrite120.0ms (0.7%)

series1.5s (9.2%)

simplify70.0ms (0.4%)

prune141.0ms (0.9%)

localize27.0ms (0.2%)

rewrite177.0ms (1.1%)

series728.0ms (4.5%)

simplify127.0ms (0.8%)

prune171.0ms (1.1%)

localize24.0ms (0.1%)

rewrite131.0ms (0.8%)

series664.0ms (4.1%)

simplify78.0ms (0.5%)

prune129.0ms (0.8%)

regimes2.2s (13.5%)

bsearch0.0ms (0%)

simplify17.0ms (0.1%)

end0.0ms (0%)

sample4.3s (27.1%)

Profiling