Details

analyze1.0s (16.4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4964	384
1	4964	384
0	6	6
1	6	6

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%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

Compiler

Compiled 17 to 16 computations (5.9% saved)

sample40.0ms (0.6%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
3.0ms	45×	body	128	invalid
2.0ms	39×	body	128	nan

Compiler

Compiled 33 to 37 computations (-12.1% saved)

simplify463.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (457.0ms)

Iter	Nodes	Cost
0	3701	24
1	3701	24

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 32 to 30 computations (6.3% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite41.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

27×	`add-log-exp_binary64_11029`
18×	`add-sqr-sqrt_binary64_11012`
14×	`*-un-lft-identity_binary64_10990`
12×	`add-cube-cbrt_binary64_11025` `log-prod_binary64_11076`
10×	`sum-log_binary64_11081`
9×	`pow1_binary64_11051`
8×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `associate-l_binary64_10931`
7×	`associate-r_binary64_10930`
6×	`flip3--_binary64_10994` `flip--_binary64_10965` `associate--r+_binary64_10926` `diff-log_binary64_11082` `distribute-rgt-in_binary64_10940` `associate-*l/_binary64_10933` `distribute-lft-in_binary64_10939`
4×	`frac-add_binary64_10998`
3×	`associate-+l+_binary64_10923`
2×	`associate--l+_binary64_10927` `prod-exp_binary64_11039` `unswap-sqr_binary64_10958` `sub-neg_binary64_10983` `cbrt-unprod_binary64_11023` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061` `cancel-sign-sub-inv_binary64_10956`
1×	`log-pow_binary64_11079` `distribute-lft-out--_binary64_10942` `flip3-+_binary64_10993` `flip-+_binary64_10964` `difference-of-squares_binary64_10959` `+-commutative_binary64_10920` `associate-+l-_binary64_10925`

Counts

4 → 90

Calls

4 calls:

12.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
6.0ms	(*.f64 (-.f64 a 1/2) b)
5.0ms	(*.f64 z (log.f64 t))

series237.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

141.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
41.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
35.0ms	(*.f64 z (log.f64 t))
19.0ms	(*.f64 (-.f64 a 1/2) b)

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5435	1987

prune117.0ms (1.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	96	6	102
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	97	6	103

Error

0.0b

Counts

103 → 6

Compiler

Compiled 2514 to 921 computations (63.4% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite34.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

48×	`log-prod_binary64_11076`
36×	`distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
30×	`cbrt-prod_binary64_11021`
26×	`add-sqr-sqrt_binary64_11012`
24×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990` `associate-+l+_binary64_10923`
12×	`associate-+r+_binary64_10922`
7×	`pow1_binary64_11051`
6×	`add-log-exp_binary64_11029` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
5×	`associate-r_binary64_10930`
3×	`associate-l_binary64_10931` `pow1/3_binary64_11072`
2×	`log-pow_binary64_11079`
1×	`sum-log_binary64_11081` `prod-exp_binary64_11039` `distribute-lft-out_binary64_10941` `unswap-sqr_binary64_10958` `flip3-+_binary64_10993` `flip-+_binary64_10964` `+-commutative_binary64_10920` `cbrt-unprod_binary64_11023` `*-commutative_binary64_10921` `pow-prod-down_binary64_11061`

Counts

4 → 102

Calls

4 calls:

12.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series323.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt.f64 t)
86.0ms	(cbrt.f64 t)
78.0ms	(+.f64 (.f64 z (.f64 2 (log.f64 (cbrt.f64 t)))) (*.f64 z (log.f64 (cbrt.f64 t))))
70.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))

simplify103.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5074	1278

prune140.0ms (2.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	113	7	120

Error

0.0b

Counts

120 → 7

Compiler

Compiled 3379 to 1447 computations (57.2% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.2b	(*.f64 (log.f64 (cbrt.f64 t)) z)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_11076` `distribute-rgt-in_binary64_10940` `distribute-lft-in_binary64_10939`
19×	`add-sqr-sqrt_binary64_11012`
18×	`cbrt-prod_binary64_11021`
17×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990`
12×	`pow1_binary64_11051`
11×	`add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026`
8×	`associate-l_binary64_10931`
4×	`prod-exp_binary64_11039` `add-log-exp_binary64_11029` `associate-r_binary64_10930` `cbrt-unprod_binary64_11023` `pow-prod-down_binary64_11061`
3×	`pow1/3_binary64_11072`
2×	`log-pow_binary64_11079` `*-commutative_binary64_10921`
1×	`unswap-sqr_binary64_10958`

Counts

4 → 84

Calls

4 calls:

7.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
5.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series333.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(*.f64 (log.f64 (cbrt.f64 t)) z)
87.0ms	(cbrt.f64 t)
81.0ms	(cbrt.f64 t)
72.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5185	1191

prune121.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	4	5
Picked	1	0	1
Done	0	1	1
Total	97	6	103

Error

0.0b

Counts

103 → 6

Compiler

Compiled 2961 to 1286 computations (56.6% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cbrt.f64 t))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_11021`
9×	`add-cube-cbrt_binary64_11025` `*-un-lft-identity_binary64_10990` `add-sqr-sqrt_binary64_11012`
4×	`pow1_binary64_11051` `add-log-exp_binary64_11029` `add-exp-log_binary64_11028` `add-cbrt-cube_binary64_11026` `pow1/3_binary64_11072`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 t))
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)
1.0ms	(cbrt.f64 t)

series375.0ms (6.1%)

Counts

4 → 12

Calls

4 calls:

115.0ms	(cbrt.f64 (cbrt.f64 t))
92.0ms	(cbrt.f64 t)
85.0ms	(cbrt.f64 t)
82.0ms	(cbrt.f64 t)

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4984	391
1	4984	391

prune77.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	59	6	65

Error

0.0b

Counts

65 → 6

Compiler

Compiled 2018 to 760 computations (62.3% saved)

regimes783.0ms (12.7%)

Accuracy

Total 0.1b remaining (94.5%)

Threshold costs 0.1b (94.5%)

Compiler

Compiled 10891 to 7721 computations (29.1% saved)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	84	36
1	84	36

Compiler

Compiled 46 to 44 computations (4.3% saved)

end0.0ms (0%)

sample1.7s (27.6%)

Algorithm

1×

intervals

Results

488.0ms	7998×	body	128	valid
75.0ms	1137×	body	128	invalid
66.0ms	1149×	body	128	nan
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 898 to 646 computations (28.1% saved)

Details

analyze1.0s (16.4%)

sample40.0ms (0.6%)

simplify463.0ms (7.5%)

prune3.0ms (0%)

localize12.0ms (0.2%)

rewrite41.0ms (0.7%)

series237.0ms (3.8%)

simplify51.0ms (0.8%)

prune117.0ms (1.9%)

localize18.0ms (0.3%)

rewrite34.0ms (0.5%)

series323.0ms (5.2%)

simplify103.0ms (1.7%)

prune140.0ms (2.3%)

localize18.0ms (0.3%)

rewrite22.0ms (0.4%)

series333.0ms (5.4%)

simplify74.0ms (1.2%)

prune121.0ms (2%)

localize27.0ms (0.4%)

rewrite10.0ms (0.2%)

series375.0ms (6.1%)

simplify31.0ms (0.5%)

prune77.0ms (1.2%)

regimes783.0ms (12.7%)

bsearch0.0ms (0%)

simplify7.0ms (0.1%)

end0.0ms (0%)

sample1.7s (27.6%)

Profiling