Details

analyze1.1s (9.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
1.6%	98.2%	0.2%	9
2.3%	97.5%	0.2%	10
11.7%	88.1%	0.2%	11
13.1%	74.3%	12.7%	12
16.1%	70.5%	13.5%	13
18.6%	68%	13.5%	14

Compiler

Compiled 14 to 13 computations (7.1% saved)

sample84.0ms (0.7%)

Algorithm

1×

intervals

Results

23.0ms	52×	body	1024	valid
12.0ms	14×	body	2048	valid
11.0ms	48×	body	512	valid
7.0ms	99×	body	128	valid
7.0ms	43×	body	256	valid
3.0ms	58×	body	128	nan
2.0ms	9×	body	1024	nan
2.0ms	27×	body	128	overflowed
2.0ms	9×	body	512	nan
1.0ms	9×	body	256	nan
0.0ms	1×	body	128	invalid

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify398.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (300.0ms)

Iter	Nodes	Cost
0	5254	20

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

28.2b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

2.7b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
2.6b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
0.1b	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
0.0b	(*.f64 y (exp.f64 z))
0.0b	(*.f64 y (exp.f64 z))
0.1b	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
2.6b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
2.7b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))

rewrite35.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_9648`
17×	`add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626`
12×	`times-frac_binary64_9632`
11×	`pow1_binary64_9687`
9×	`add-log-exp_binary64_9665`
8×	`add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
5×	`log-pow_binary64_9715`
4×	`associate-/l*_binary64_9571` `associate-+l+_binary64_9559` `log-div_binary64_9713`
3×	`associate-l_binary64_9567` `log-prod_binary64_9712` `flip-+_binary64_9600` `cancel-sign-sub-inv_binary64_9592` `flip3-+_binary64_9629` `associate-r_binary64_9566` `associate-/r*_binary64_9570`
2×	`sum-log_binary64_9717` `div-sub_binary64_9631`
1×	`sub-neg_binary64_9619` `associate-+l-_binary64_9561` `diff-log_binary64_9718` `div-exp_binary64_9677` `rem-log-exp_binary64_9667` `prod-exp_binary64_9675` `+-commutative_binary64_9556` `pow-prod-down_binary64_9697` `*-commutative_binary64_9557` `cbrt-undiv_binary64_9660` `unswap-sqr_binary64_9594` `frac-2neg_binary64_9637` `div-inv_binary64_9623` `clear-num_binary64_9625` `cbrt-unprod_binary64_9659`

Counts

4 → 82

Calls

8 calls:

9.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
8.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
6.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
5.0ms	(*.f64 y (exp.f64 z))
0.0ms	(*.f64 y (exp.f64 z))

series638.0ms (5.7%)

Counts

4 → 42

Calls

4 calls:

358.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
163.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
74.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
42.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 1420 to 1207 computations (15% saved)

simplify79.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5009	2582

prune218.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	115	9	124
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	116	9	125

Error

0.2b

Counts

125 → 9

Compiler

Compiled 2709 to 1428 computations (47.3% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

4.3b	(-.f64 (*.f64 y (exp.f64 z)) y)
0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (-.f64 (*.f64 y (exp.f64 z)) y) t)
0.0b	(-.f64 x (/.f64 (-.f64 (*.f64 y (exp.f64 z)) y) t))
0.0b	(-.f64 x (/.f64 (-.f64 (*.f64 y (exp.f64 z)) y) t))
0.0b	(/.f64 (-.f64 (*.f64 y (exp.f64 z)) y) t)
0.0b	(*.f64 y (exp.f64 z))
4.3b	(-.f64 (*.f64 y (exp.f64 z)) y)

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64_9648`
24×	`*-un-lft-identity_binary64_9626`
22×	`add-cube-cbrt_binary64_9661`
19×	`times-frac_binary64_9632`
16×	`cancel-sign-sub-inv_binary64_9592`
8×	`add-log-exp_binary64_9665` `add-cbrt-cube_binary64_9662`
7×	`add-exp-log_binary64_9664`
6×	`pow1_binary64_9687`
3×	`associate-l_binary64_9567` `flip3--_binary64_9630` `flip--_binary64_9601` `associate-/l_binary64_9571` `associate-r_binary64_9566` `associate-/r_binary64_9570`
2×	`sub-neg_binary64_9619` `diff-log_binary64_9718` `difference-of-squares_binary64_9595` `associate-/l/_binary64_9573` `div-inv_binary64_9623` `div-sub_binary64_9631`
1×	`div-exp_binary64_9677` `prod-exp_binary64_9675` `distribute-lft-out--_binary64_9578` `pow-prod-down_binary64_9697` `*-commutative_binary64_9557` `cbrt-undiv_binary64_9660` `unswap-sqr_binary64_9594` `frac-2neg_binary64_9637` `associate--r-_binary64_9565` `clear-num_binary64_9625` `cbrt-unprod_binary64_9659`

Counts

4 → 90

Calls

8 calls:

11.0ms	(-.f64 x (/.f64 (-.f64 (*.f64 y (exp.f64 z)) y) t))
8.0ms	(/.f64 (-.f64 (*.f64 y (exp.f64 z)) y) t)
5.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
5.0ms	(*.f64 y (exp.f64 z))
0.0ms	(-.f64 x (/.f64 (-.f64 (*.f64 y (exp.f64 z)) y) t))

series514.0ms (4.6%)

Counts

4 → 54

Calls

4 calls:

258.0ms	(-.f64 x (/.f64 (-.f64 (*.f64 y (exp.f64 z)) y) t))
146.0ms	(/.f64 (-.f64 (*.f64 y (exp.f64 z)) y) t)
63.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
48.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 961 to 859 computations (10.6% saved)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

144 → 144

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5079	2190

prune107.0ms (1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	142	2	144
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	144	9	153

Error

0.2b

Counts

153 → 9

Compiler

Compiled 2214 to 583 computations (73.7% saved)

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

4.3b	(-.f64 (*.f64 y (exp.f64 z)) y)
0.1b	(.f64 (-.f64 (.f64 y (exp.f64 z)) y) (/.f64 1 t))
0.0b	(*.f64 y (exp.f64 z))
0.0b	(-.f64 x (.f64 (-.f64 (.f64 y (exp.f64 z)) y) (/.f64 1 t)))
0.0b	(-.f64 x (.f64 (-.f64 (.f64 y (exp.f64 z)) y) (/.f64 1 t)))
0.0b	(*.f64 y (exp.f64 z))
0.1b	(.f64 (-.f64 (.f64 y (exp.f64 z)) y) (/.f64 1 t))
4.3b	(-.f64 (*.f64 y (exp.f64 z)) y)

rewrite33.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_9648`
16×	`-un-lft-identity_binary64_9626` `associate-r*_binary64_9566`
15×	`add-cube-cbrt_binary64_9661`
14×	`add-exp-log_binary64_9664`
11×	`times-frac_binary64_9632` `add-cbrt-cube_binary64_9662`
8×	`add-log-exp_binary64_9665` `pow1_binary64_9687`
6×	`associate-l_binary64_9567`
5×	`prod-exp_binary64_9675`
4×	`flip3--_binary64_9630` `flip--_binary64_9601` `unswap-sqr_binary64_9594` `cancel-sign-sub-inv_binary64_9592`
3×	`cbrt-unprod_binary64_9659`
2×	`associate-l/_binary64_9569` `sub-neg_binary64_9619` `diff-log_binary64_9718` `div-exp_binary64_9677` `frac-times_binary64_9636` `pow-prod-down_binary64_9697` `-commutative_binary64_9557`
1×	`un-div-inv_binary64_9624` `1-exp_binary64_9670` `rec-exp_binary64_9676` `cbrt-undiv_binary64_9660` `div-inv_binary64_9623` `associate-*r/_binary64_9568`

Counts

4 → 84

Calls

8 calls:

13.0ms	(.f64 (-.f64 (.f64 y (exp.f64 z)) y) (/.f64 1 t))
6.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
5.0ms	(*.f64 y (exp.f64 z))
3.0ms	(-.f64 x (.f64 (-.f64 (.f64 y (exp.f64 z)) y) (/.f64 1 t)))
0.0ms	(-.f64 x (.f64 (-.f64 (.f64 y (exp.f64 z)) y) (/.f64 1 t)))

series530.0ms (4.7%)

Counts

4 → 54

Calls

4 calls:

269.0ms	(-.f64 x (.f64 (-.f64 (.f64 y (exp.f64 z)) y) (/.f64 1 t)))
148.0ms	(.f64 (-.f64 (.f64 y (exp.f64 z)) y) (/.f64 1 t))
61.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
52.0ms	(*.f64 y (exp.f64 z))

Compiler

Compiled 1017 to 915 computations (10% saved)

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5153	1985

prune109.0ms (1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	136	2	138
Fresh	0	7	7
Picked	0	1	1
Done	1	0	1
Total	137	10	147

Error

0.2b

Counts

147 → 10

Compiler

Compiled 2273 to 836 computations (63.2% saved)

localize14.0ms (0.1%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (.f64 (-.f64 (.f64 y (exp.f64 z)) y) (.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 1 t)))) (cbrt.f64 (/.f64 1 t)))
0.1b	(.f64 (-.f64 (.f64 y (exp.f64 z)) y) (*.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 1 t))))
0.0b	(*.f64 y (exp.f64 z))
0.0b	(-.f64 x (.f64 (.f64 (-.f64 (.f64 y (exp.f64 z)) y) (.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 1 t)))) (cbrt.f64 (/.f64 1 t))))
0.5b	(cbrt.f64 (/.f64 1 t))
0.5b	(cbrt.f64 (/.f64 1 t))
0.5b	(cbrt.f64 (/.f64 1 t))
4.3b	(-.f64 (*.f64 y (exp.f64 z)) y)

rewrite21.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_9657`
27×	`times-frac_binary64_9632`
26×	`add-sqr-sqrt_binary64_9648` `add-cube-cbrt_binary64_9661` `*-un-lft-identity_binary64_9626`
6×	`add-log-exp_binary64_9665`
4×	`pow1_binary64_9687` `add-exp-log_binary64_9664` `add-cbrt-cube_binary64_9662`
3×	`pow1/3_binary64_9708` `cancel-sign-sub-inv_binary64_9592` `cbrt-div_binary64_9658` `div-inv_binary64_9623`
1×	`flip3--_binary64_9630` `sub-neg_binary64_9619` `diff-log_binary64_9718` `flip--_binary64_9601`

Counts

4 → 80

Calls

8 calls:

5.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
2.0ms	(cbrt.f64 (/.f64 1 t))
2.0ms	(cbrt.f64 (/.f64 1 t))
2.0ms	(cbrt.f64 (/.f64 1 t))
0.0ms	(-.f64 x (.f64 (.f64 (-.f64 (.f64 y (exp.f64 z)) y) (.f64 (cbrt.f64 (/.f64 1 t)) (cbrt.f64 (/.f64 1 t)))) (cbrt.f64 (/.f64 1 t))))

series290.0ms (2.6%)

Counts

4 → 18

Calls

4 calls:

76.0ms	(cbrt.f64 (/.f64 1 t))
72.0ms	(-.f64 (*.f64 y (exp.f64 z)) y)
71.0ms	(cbrt.f64 (/.f64 1 t))
70.0ms	(cbrt.f64 (/.f64 1 t))

Compiler

Compiled 812 to 714 computations (12.1% saved)

simplify90.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4933	1200
1	4933	1200

prune130.0ms (1.2%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	97	11	108

Error

0.2b

Counts

108 → 11

Compiler

Compiled 2731 to 1638 computations (40% saved)

simplify147.0ms (1.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (130.0ms)

Iter	Nodes	Cost
0	3161	1371
1	3161	1371

regimes702.0ms (6.3%)

Compiler: Compiled 5130 to 4189 computations (18.3% saved)

bsearch124.0ms (1.1%)

Steps

Iters	Range		Point
7	7.97454170099151e-27	2.858722491203012e-25	1.4860099414128433e-25
0	3.602189116886651e-100	3.635059344424618e-100	3.6186242306556346e-100
8	-897.7383380720997	-2.069762033581559	-2.1038187295767012
8	-1.3027893752252653e+121	-8.952009622468315e+117	-1.8357328709070124e+119

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes296.0ms (2.6%)

Compiler: Compiled 1067 to 1133 computations (-6.2% saved)

bsearch101.0ms (0.9%)

Steps

Iters	Range		Point
7	7.97454170099151e-27	2.858722491203012e-25	3.166500613542031e-26
0	3.602189116886651e-100	3.635059344424618e-100	3.6186242306556346e-100
5	-2.182049903189371e+19	-7.433934668847826e+18	-7.54713095206627e+18
8	-1.3027893752252653e+121	-8.952009622468315e+117	-1.7733074961087528e+120

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes311.0ms (2.8%)

Compiler: Compiled 977 to 1049 computations (-7.4% saved)

bsearch97.0ms (0.9%)

Steps

Iters	Range		Point
7	7.97454170099151e-27	2.858722491203012e-25	1.8879958475170893e-26
0	3.602189116886651e-100	3.635059344424618e-100	3.6186242306556346e-100
5	-2.182049903189371e+19	-7.433934668847826e+18	-7.54713095206627e+18
8	-1.3027893752252653e+121	-8.952009622468315e+117	-4.9837992565992866e+120

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes283.0ms (2.5%)

Compiler: Compiled 821 to 905 computations (-10.2% saved)

bsearch72.0ms (0.6%)

Steps

Iters	Range		Point
7	7.97454170099151e-27	2.858722491203012e-25	3.0625296486611856e-26
0	3.602189116886651e-100	3.635059344424618e-100	3.6186242306556346e-100
7	-0.052537966415851456	-0.00031753722337157916	-0.00032457589530225206

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes165.0ms (1.5%)

Compiler: Compiled 501 to 603 computations (-20.4% saved)

bsearch1.0ms (0%)

Compiler: Compiled 2 to 5 computations (-150% saved)

regimes171.0ms (1.5%)

Compiler: Compiled 441 to 549 computations (-24.5% saved)

bsearch120.0ms (1.1%)

Steps

Iters	Range		Point
7	-2.069762033581559	-0.052537966415851456	-0.42839121498414795
9	-8.952009622468315e+117	-5.0294590232418064e+110	-8.833301672645869e+117
10	-1.8658876196669447e+182	-2.25904946196171e+169	-1.4482567749054308e+170

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes122.0ms (1.1%)

Compiler: Compiled 296 to 364 computations (-23% saved)

bsearch35.0ms (0.3%)

Steps

Iters	Range		Point
7	-2.069762033581559	-0.052537966415851456	-0.24508819572771498

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes100.0ms (0.9%)

Compiler: Compiled 144 to 228 computations (-58.3% saved)

bsearch39.0ms (0.4%)

Steps

Iters	Range		Point
10	-1.8486693132051382e+30	-2.182049903189371e+19	-3.260292623054553e+19

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes38.0ms (0.3%)

Compiler: Compiled 24 to 108 computations (-350% saved)

bsearch0.0ms (0%)

regimes35.0ms (0.3%)

Compiler: Compiled 20 to 92 computations (-360% saved)

bsearch0.0ms (0%)

regimes33.0ms (0.3%)

Accuracy

Total 8.9b remaining (97.1%)

Threshold costs 0b (0%)

Compiler

Compiled 16 to 72 computations (-350% saved)

bsearch19.0ms (0.2%)

Compiler: Compiled 390 to 279 computations (28.5% saved)

simplify22.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	654	542
1	654	542

end0.0ms (0%)

sample3.6s (31.9%)

Algorithm

1×

intervals

Results

778.0ms	1818×	body	1024	valid
337.0ms	1390×	body	512	valid
282.0ms	3727×	body	128	valid
267.0ms	319×	body	2048	valid
108.0ms	746×	body	256	valid
76.0ms	1563×	body	128	nan
47.0ms	272×	body	512	nan
45.0ms	824×	body	128	overflowed
44.0ms	167×	body	1024	nan
18.0ms	170×	body	256	nan
1.0ms	20×	body	128	invalid

Compiler

Compiled 1313 to 1031 computations (21.5% saved)

Pareto

0.8858871522270806

Details

analyze1.1s (9.8%)

sample84.0ms (0.7%)

simplify398.0ms (3.6%)

prune3.0ms (0%)

localize11.0ms (0.1%)

rewrite35.0ms (0.3%)

series638.0ms (5.7%)

simplify79.0ms (0.7%)

prune218.0ms (2%)

localize10.0ms (0.1%)

rewrite36.0ms (0.3%)

series514.0ms (4.6%)

simplify75.0ms (0.7%)

prune107.0ms (1%)

localize10.0ms (0.1%)

rewrite33.0ms (0.3%)

series530.0ms (4.7%)

simplify67.0ms (0.6%)

prune109.0ms (1%)

localize14.0ms (0.1%)

rewrite21.0ms (0.2%)

series290.0ms (2.6%)

simplify90.0ms (0.8%)

prune130.0ms (1.2%)

simplify147.0ms (1.3%)

regimes702.0ms (6.3%)

bsearch124.0ms (1.1%)

regimes296.0ms (2.6%)

bsearch101.0ms (0.9%)

regimes311.0ms (2.8%)

bsearch97.0ms (0.9%)

regimes283.0ms (2.5%)

bsearch72.0ms (0.6%)

regimes165.0ms (1.5%)

bsearch1.0ms (0%)

regimes171.0ms (1.5%)

bsearch120.0ms (1.1%)

regimes122.0ms (1.1%)

bsearch35.0ms (0.3%)

regimes100.0ms (0.9%)

bsearch39.0ms (0.4%)

regimes38.0ms (0.3%)

bsearch0.0ms (0%)

regimes35.0ms (0.3%)

bsearch0.0ms (0%)

regimes33.0ms (0.3%)

bsearch19.0ms (0.2%)

simplify22.0ms (0.2%)

end0.0ms (0%)

sample3.6s (31.9%)

Profiling