Details

analyze886.0ms (8.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 19 to 18 computations (5.3% saved)

sample111.0ms (1.1%)

Algorithm

1×

intervals

Results

29.0ms	341×	body	128	nan
24.0ms	235×	body	128	valid
15.0ms	180×	body	128	invalid
3.0ms	10×	body	512	valid
2.0ms	3×	body	1024	valid
2.0ms	8×	body	256	valid
1.0ms	2×	body	1024	invalid
1.0ms	4×	body	256	invalid
1.0ms	2×	body	512	invalid

Compiler

Compiled 37 to 41 computations (-10.8% saved)

simplify214.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4995	26
1	4995	26

prune5.0ms (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: 1.8b

Counts

2 → 2

Compiler

Compiled 52 to 49 computations (5.8% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
0.0b	(-.f64 (log.f64 z) t)
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
6.0b	(log.f64 (-.f64 1 z))

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1446`
21×	`*-un-lft-identity_binary64_1425`
15×	`log-prod_binary64_1508`
12×	`add-cube-cbrt_binary64_1457`
11×	`pow1_binary64_1483`
10×	`associate-r_binary64_1367`
9×	`associate--l+_binary64_1364`
8×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
6×	`associate-l_binary64_1368`
5×	`distribute-lft-out--_binary64_1379` `add-log-exp_binary64_1461`
4×	`distribute-lft-in_binary64_1376` `distribute-rgt-in_binary64_1377` `difference-of-squares_binary64_1394`
3×	`flip--_binary64_1400` `sub-neg_binary64_1418` `log-pow_binary64_1511` `flip3--_binary64_1429`
2×	`unswap-sqr_binary64_1393` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `associate-r/_binary64_1369` `log-div_binary64_1509` `-commutative_binary64_1358` `pow-prod-down_binary64_1493`
1×	`diff-log_binary64_1514` `exp-sum_binary64_1468` `rem-log-exp_binary64_1463`

Counts

4 → 84

Calls

4 calls:

14.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
5.0ms	(-.f64 (log.f64 z) t)
4.0ms	(log.f64 (-.f64 1 z))

series647.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

443.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (*.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))))
120.0ms	(*.f64 y (-.f64 (log.f64 z) t))
61.0ms	(-.f64 (log.f64 z) t)
23.0ms	(log.f64 (-.f64 1 z))

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5008	1495

prune110.0ms (1.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	94	2	96
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

Compiler

Compiled 2303 to 1121 computations (51.3% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (log.f64 z) t)
0.0b	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.4b	(*.f64 z 1/3)

rewrite40.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64_1446`
18×	`*-un-lft-identity_binary64_1425`
15×	`pow1_binary64_1483`
13×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
12×	`add-cube-cbrt_binary64_1457` `associate-r_binary64_1367`
9×	`associate--l+_binary64_1364` `log-prod_binary64_1508`
7×	`associate-l_binary64_1368`
5×	`distribute-lft-in_binary64_1376` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `distribute-rgt-in_binary64_1377` `add-log-exp_binary64_1461` `pow-prod-down_binary64_1493`
4×	`distribute-lft-out--_binary64_1379` `associate-*r/_binary64_1369`
3×	`unswap-sqr_binary64_1393` `sub-neg_binary64_1418` `*-commutative_binary64_1358`
2×	`flip--_binary64_1400` `difference-of-squares_binary64_1394` `log-pow_binary64_1511` `flip3--_binary64_1429`
1×	`diff-log_binary64_1514` `flip3-+_binary64_1428` `flip-+_binary64_1399`

Counts

4 → 89

Calls

4 calls:

11.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
7.0ms	(-.f64 (log.f64 z) t)
4.0ms	(*.f64 z 1/3)

series283.0ms (2.7%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))
95.0ms	(*.f64 y (-.f64 (log.f64 z) t))
71.0ms	(-.f64 (log.f64 z) t)
21.0ms	(*.f64 z 1/3)

simplify69.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4864	1134
1	4864	1134

prune120.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	101	2	103

Merged error: 0.0b

Counts

103 → 2

Compiler

Compiled 3099 to 1441 computations (53.5% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
3.6b	(pow.f64 (/.f64 (-.f64 1 z) (exp.f64 b)) a)

rewrite215.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
22×	`unpow-prod-down_binary64_1501`
18×	`times-frac_binary64_1431` `add-cube-cbrt_binary64_1457`
9×	`cbrt-prod_binary64_1453`
6×	`difference-of-squares_binary64_1394` `add-exp-log_binary64_1460`
5×	`pow1_binary64_1483`
4×	`add-cbrt-cube_binary64_1458` `add-log-exp_binary64_1461`
3×	`distribute-lft-out--_binary64_1379` `pow-unpow_binary64_1499` `pow1/3_binary64_1504`
2×	`pow-exp_binary64_1490`
1×	`pow-pow_binary64_1494` `pow-to-exp_binary64_1491` `div-inv_binary64_1422` `div-exp_binary64_1473` `sqr-pow_binary64_1397`

Counts

4 → 70

Calls

4 calls:

10.0ms	(pow.f64 (/.f64 (-.f64 1 z) (exp.f64 b)) a)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series711.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

261.0ms	(pow.f64 (/.f64 (-.f64 1 z) (exp.f64 b)) a)
155.0ms	(cbrt.f64 x)
147.0ms	(cbrt.f64 x)
147.0ms	(cbrt.f64 x)

simplify97.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	5033	1146

prune95.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	82	2	84

Merged error: 0.0b

Counts

84 → 2

Compiler

Compiled 2439 to 872 computations (64.2% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(.f64 (cbrt.f64 x) (-.f64 1 (.f64 a (+.f64 z b))))
3.2b	(.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (.f64 (cbrt.f64 x) (-.f64 1 (*.f64 a (+.f64 z b)))))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64_1460`
23×	`associate-l_binary64_1368`
21×	`add-sqr-sqrt_binary64_1446`
17×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
13×	`prod-exp_binary64_1471` `unpow-prod-down_binary64_1501`
10×	`cbrt-prod_binary64_1453`
9×	`times-frac_binary64_1431` `add-cbrt-cube_binary64_1458`
6×	`sub-neg_binary64_1418` `associate-*r/_binary64_1369` `pow1_binary64_1483`
5×	`distribute-lft-in_binary64_1376` `distribute-rgt-in_binary64_1377`
4×	`cbrt-unprod_binary64_1455` `pow-exp_binary64_1490` `associate-r_binary64_1367` `add-log-exp_binary64_1461`
2×	`flip--_binary64_1400` `unswap-sqr_binary64_1393` `pow-to-exp_binary64_1491` `pow1/3_binary64_1504` `div-exp_binary64_1473` `flip3--_binary64_1429` `*-commutative_binary64_1358`
1×	`div-inv_binary64_1422` `sqr-pow_binary64_1397` `pow-prod-down_binary64_1493`

Counts

4 → 90

Calls

4 calls:

14.0ms	(.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (.f64 (cbrt.f64 x) (-.f64 1 (*.f64 a (+.f64 z b)))))
7.0ms	(.f64 (cbrt.f64 x) (-.f64 1 (.f64 a (+.f64 z b))))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series2.4s (23.4%)

Counts

4 → 12

Calls

4 calls:

1.8s	(.f64 (pow.f64 (/.f64 z (exp.f64 t)) y) (.f64 (cbrt.f64 x) (-.f64 1 (*.f64 a (+.f64 z b)))))
343.0ms	(.f64 (cbrt.f64 x) (-.f64 1 (.f64 a (+.f64 z b))))
153.0ms	(cbrt.f64 x)
137.0ms	(cbrt.f64 x)

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5688	2017

prune106.0ms (1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	102	2	104

Merged error: 0.0b

Counts

104 → 2

Compiler

Compiled 2976 to 827 computations (72.2% saved)

regimes282.0ms (2.7%)

Compiler: Compiled 2506 to 2193 computations (12.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	140	38
1	140	38

end0.0ms (0%)

sample3.7s (35.6%)

Algorithm

1×

intervals

Results

950.0ms	10965×	body	128	nan
649.0ms	7367×	body	128	valid
479.0ms	5427×	body	128	invalid
88.0ms	272×	body	512	valid
85.0ms	136×	body	1024	valid
44.0ms	225×	body	256	valid
43.0ms	132×	body	512	invalid
37.0ms	62×	body	1024	invalid
21.0ms	113×	body	256	invalid

Compiler

Compiled 297 to 256 computations (13.8% saved)

Details

analyze886.0ms (8.5%)

sample111.0ms (1.1%)

simplify214.0ms (2.1%)

prune5.0ms (0%)

localize16.0ms (0.2%)

rewrite40.0ms (0.4%)

series647.0ms (6.2%)

simplify61.0ms (0.6%)

prune110.0ms (1.1%)

localize22.0ms (0.2%)

rewrite40.0ms (0.4%)

series283.0ms (2.7%)

simplify69.0ms (0.7%)

prune120.0ms (1.2%)

localize19.0ms (0.2%)

rewrite215.0ms (2.1%)

series711.0ms (6.9%)

simplify97.0ms (0.9%)

prune95.0ms (0.9%)

localize20.0ms (0.2%)

rewrite34.0ms (0.3%)

series2.4s (23.4%)

simplify50.0ms (0.5%)

prune106.0ms (1%)

regimes282.0ms (2.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample3.7s (35.6%)

Profiling