Details

analyze1.4s (16.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4965	140
1	4965	140
0	4	4
1	4	4

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)

sample73.0ms (0.9%)

Algorithm

1×

intervals

Results

21.0ms	49×	body	1024	valid
10.0ms	134×	body	128	valid
9.0ms	10×	body	2048	valid
8.0ms	39×	body	512	valid
3.0ms	24×	body	256	valid
3.0ms	55×	body	128	nan
2.0ms	11×	body	512	nan
2.0ms	7×	body	1024	nan
1.0ms	20×	body	128	overflowed
0.0ms	2×	body	256	nan

Compiler

Compiled 27 to 29 computations (-7.4% saved)

simplify324.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (314.0ms)

Iter	Nodes	Cost
0	5254	20

prune2.0ms (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

24.8b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 y (exp.f64 z))
0.0b	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
1.8b	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
3.1b	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))

rewrite33.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_10330`
17×	`add-cube-cbrt_binary64_10343` `*-un-lft-identity_binary64_10308`
12×	`times-frac_binary64_10314`
11×	`pow1_binary64_10369`
9×	`add-log-exp_binary64_10347`
8×	`add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
5×	`log-pow_binary64_10397`
4×	`associate-/l*_binary64_10253` `log-div_binary64_10395` `associate-+l+_binary64_10241`
3×	`associate-/r_binary64_10252` `associate-r_binary64_10248` `flip-+_binary64_10282` `associate-l*_binary64_10249` `log-prod_binary64_10394` `flip3-+_binary64_10311` `cancel-sign-sub-inv_binary64_10274`
2×	`sum-log_binary64_10399` `div-sub_binary64_10313`
1×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `rem-log-exp_binary64_10349` `sub-neg_binary64_10301` `clear-num_binary64_10307` `div-exp_binary64_10359` `+-commutative_binary64_10238` `pow-prod-down_binary64_10379` `diff-log_binary64_10400` `div-inv_binary64_10305` `frac-2neg_binary64_10319` `*-commutative_binary64_10239` `unswap-sqr_binary64_10276` `associate-+l-_binary64_10243` `cbrt-undiv_binary64_10342`

Counts

4 → 82

Calls

4 calls:

8.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
7.0ms	(+.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))

series324.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

201.0ms	(/.f64 (log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))) t)
72.0ms	(log.f64 (+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z))))
28.0ms	(+.f64 (-.f64 1 y) (*.f64 y (exp.f64 z)))
23.0ms	(*.f64 y (exp.f64 z))

simplify82.0ms (1%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5129	1998

prune123.0ms (1.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	88	6	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	89	6	95

Error

4.4b

Counts

95 → 6

Compiler

Compiled 2113 to 1126 computations (46.7% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
3.5b	(log.f64 (+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y)))))
12.9b	(+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y))))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_10347`
8×	`add-cube-cbrt_binary64_10343` `add-sqr-sqrt_binary64_10330` `*-un-lft-identity_binary64_10308`
6×	`cbrt-prod_binary64_10339`
5×	`pow1_binary64_10369` `add-exp-log_binary64_10346`
4×	`add-cbrt-cube_binary64_10344` `associate-+l+_binary64_10241`
3×	`log-prod_binary64_10394` `cancel-sign-sub-inv_binary64_10274`
2×	`sum-log_binary64_10399` `pow1/3_binary64_10390` `flip-+_binary64_10282` `log-div_binary64_10395` `flip3-+_binary64_10311`
1×	`rem-log-exp_binary64_10349` `sub-neg_binary64_10301` `log-pow_binary64_10397` `+-commutative_binary64_10238` `diff-log_binary64_10400` `associate-+l-_binary64_10243`

Counts

4 → 53

Calls

4 calls:

9.0ms	(+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y))))
9.0ms	(log.f64 (+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y)))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series300.0ms (3.5%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(log.f64 (+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y)))))
81.0ms	(cbrt.f64 y)
80.0ms	(cbrt.f64 y)
49.0ms	(+.f64 (-.f64 1 y) (.f64 (.f64 (cbrt.f64 y) (cbrt.f64 y)) (*.f64 (exp.f64 z) (cbrt.f64 y))))

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5431	922

prune68.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	65	6	71

Error

4.4b

Counts

71 → 6

Compiler

Compiled 1576 to 770 computations (51.1% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.2b	(.f64 (.f64 1/2 (.f64 y (.f64 z z))) (-.f64 1 y))
3.5b	(+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y)))
6.9b	(/.f64 (+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y))) t)
8.5b	(.f64 y (.f64 z z))

rewrite43.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-cbrt-cube_binary64_10344` `add-exp-log_binary64_10346`
23×	`pow1_binary64_10369`
22×	`add-sqr-sqrt_binary64_10330`
21×	`*-un-lft-identity_binary64_10308`
18×	`add-cube-cbrt_binary64_10343`
13×	`cbrt-unprod_binary64_10341` `prod-exp_binary64_10357` `pow-prod-down_binary64_10379`
12×	`cancel-sign-sub-inv_binary64_10274`
9×	`times-frac_binary64_10314`
8×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258` `associate-+r+_binary64_10240`
7×	`associate-r_binary64_10248`
6×	`add-log-exp_binary64_10347`
4×	`sub-neg_binary64_10301` `associate-l_binary64_10249`
3×	`associate-/r_binary64_10252` `associate-/l_binary64_10253`
2×	`associate-r/_binary64_10250` `associate-/l/_binary64_10255` `flip-+_binary64_10282` `flip3-+_binary64_10311` `-commutative_binary64_10239` `difference-of-squares_binary64_10277`
1×	`sum-log_binary64_10399` `flip--_binary64_10283` `clear-num_binary64_10307` `div-exp_binary64_10359` `+-commutative_binary64_10238` `flip3--_binary64_10312` `distribute-lft-out--_binary64_10260` `div-inv_binary64_10305` `frac-2neg_binary64_10319` `unswap-sqr_binary64_10276` `cbrt-undiv_binary64_10342`

Counts

4 → 104

Calls

4 calls:

13.0ms	(.f64 (.f64 1/2 (.f64 y (.f64 z z))) (-.f64 1 y))
7.0ms	(/.f64 (+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y))) t)
6.0ms	(+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y)))
6.0ms	(.f64 y (.f64 z z))

series204.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(/.f64 (+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y))) t)
45.0ms	(+.f64 (.f64 y z) (.f64 (.f64 1/2 (.f64 y (*.f64 z z))) (-.f64 1 y)))
45.0ms	(.f64 (.f64 1/2 (.f64 y (.f64 z z))) (-.f64 1 y))
25.0ms	(.f64 y (.f64 z z))

simplify75.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5004	2470

prune142.0ms (1.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	110	6	116
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	111	11	122

Error

4.3b

Counts

122 → 11

Compiler

Compiled 3214 to 1626 computations (49.4% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (/.f64 t (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2))))))
3.1b	(.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2))))
5.4b	(.f64 (-.f64 1 y) (.f64 (*.f64 z z) 1/2))
7.1b	(/.f64 t (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64_10314`
41×	`add-exp-log_binary64_10346`
32×	`add-sqr-sqrt_binary64_10330`
30×	`*-un-lft-identity_binary64_10308`
29×	`add-cbrt-cube_binary64_10344`
27×	`add-cube-cbrt_binary64_10343`
16×	`pow1_binary64_10369`
14×	`div-exp_binary64_10359`
12×	`associate-*r/_binary64_10250`
11×	`prod-exp_binary64_10357` `associate-/r/_binary64_10254`
10×	`associate-/r*_binary64_10252`
9×	`cbrt-unprod_binary64_10341` `associate-l_binary64_10249`
7×	`pow-prod-down_binary64_10379` `cbrt-undiv_binary64_10342`
6×	`associate-/l*_binary64_10253` `flip-+_binary64_10282` `flip3-+_binary64_10311` `div-inv_binary64_10305`
4×	`add-log-exp_binary64_10347` `associate-r_binary64_10248`
3×	`1-exp_binary64_10352` `rec-exp_binary64_10358`
2×	`clear-num_binary64_10307` `associate-l/_binary64_10251` `frac-2neg_binary64_10319` `-commutative_binary64_10239` `difference-of-squares_binary64_10277`
1×	`distribute-lft-in_binary64_10257` `distribute-rgt-in_binary64_10258` `flip--_binary64_10283` `inv-pow_binary64_10393` `flip3--_binary64_10312` `distribute-lft-out--_binary64_10260` `unswap-sqr_binary64_10276` `pow-flip_binary64_10382`

Counts

4 → 135

Calls

4 calls:

11.0ms	(.f64 (-.f64 1 y) (.f64 (*.f64 z z) 1/2))
8.0ms	(/.f64 1 (/.f64 t (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2))))))
8.0ms	(.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2))))
6.0ms	(/.f64 t (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))))

series355.0ms (4.1%)

Counts

4 → 12

Calls

4 calls:

145.0ms	(/.f64 t (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2)))))
117.0ms	(/.f64 1 (/.f64 t (.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2))))))
49.0ms	(.f64 y (+.f64 z (.f64 (-.f64 1 y) (.f64 (.f64 z z) 1/2))))
44.0ms	(.f64 (-.f64 1 y) (.f64 (*.f64 z z) 1/2))

simplify63.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5315	3772

prune185.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	144	3	147
Fresh	4	5	9
Picked	1	0	1
Done	0	1	1
Total	149	9	158

Error

3.2b

Counts

158 → 9

Compiler

Compiled 3882 to 2293 computations (40.9% saved)

regimes1.2s (13.7%)

Accuracy

Total 7.6b remaining (69%)

Threshold costs 0b (0%)

Compiler

Compiled 11504 to 8917 computations (22.5% saved)

bsearch4.0ms (0%)

Compiler: Compiled 13 to 12 computations (7.7% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	276	331
1	276	331

end0.0ms (0%)

sample3.4s (39.7%)

Algorithm

1×

intervals

Results

753.0ms	1767×	body	1024	valid
313.0ms	1295×	body	512	valid
291.0ms	3868×	body	128	valid
275.0ms	305×	body	2048	valid
111.0ms	765×	body	256	valid
72.0ms	1553×	body	128	nan
55.0ms	212×	body	1024	nan
44.0ms	812×	body	128	overflowed
43.0ms	257×	body	512	nan
16.0ms	152×	body	256	nan
1.0ms	20×	body	128	invalid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 1480 to 1100 computations (25.7% saved)

Details

analyze1.4s (16.5%)

sample73.0ms (0.9%)

simplify324.0ms (3.8%)

prune2.0ms (0%)

localize10.0ms (0.1%)

rewrite33.0ms (0.4%)

series324.0ms (3.8%)

simplify82.0ms (1%)

prune123.0ms (1.4%)

localize14.0ms (0.2%)

rewrite28.0ms (0.3%)

series300.0ms (3.5%)

simplify52.0ms (0.6%)

prune68.0ms (0.8%)

localize12.0ms (0.1%)

rewrite43.0ms (0.5%)

series204.0ms (2.4%)

simplify75.0ms (0.9%)

prune142.0ms (1.6%)

localize13.0ms (0.1%)

rewrite48.0ms (0.6%)

series355.0ms (4.1%)

simplify63.0ms (0.7%)

prune185.0ms (2.1%)

regimes1.2s (13.7%)

bsearch4.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample3.4s (39.7%)

Profiling