Details

analyze227.0ms (6.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
0.0ms	13×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify174.0ms (5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	105	16
1	105	16

prune2.0ms (0.1%)

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: 4.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.4b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
3.1b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite24.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_10749`
26×	`add-exp-log_binary64_10781`
20×	`add-sqr-sqrt_binary64_10765`
18×	`add-cube-cbrt_binary64_10778` `*-un-lft-identity_binary64_10743`
16×	`add-cbrt-cube_binary64_10779`
13×	`associate-/l*_binary64_10688`
12×	`div-exp_binary64_10794`
6×	`cbrt-undiv_binary64_10777`
5×	`prod-exp_binary64_10792`
4×	`associate-*r/_binary64_10685` `pow1_binary64_10804`
3×	`associate-r_binary64_10683` `cbrt-unprod_binary64_10776` `associate-l_binary64_10684` `div-inv_binary64_10740`
2×	`flip-+_binary64_10717` `1-exp_binary64_10787` `associate-/r/_binary64_10689` `add-log-exp_binary64_10782` `flip3-+_binary64_10746` `rec-exp_binary64_10793`
1×	`frac-2neg_binary64_10754` `clear-num_binary64_10742` `unswap-sqr_binary64_10711` `distribute-rgt-in_binary64_10693` `associate-/l/_binary64_10690` `-commutative_binary64_10674` `distribute-lft-in_binary64_10692` `associate-/r_binary64_10687` `pow-prod-down_binary64_10814`

Counts

2 → 74

Calls

2 calls:

10.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
7.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series171.0ms (5%)

Counts

2 → 6

Calls

2 calls:

94.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
77.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify76.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5028	1317

prune344.0ms (10%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	71	9	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	72	9	81

Merged error: 3.7b

Counts

81 → 9

Compiler

Compiled 6113 to 4546 computations (25.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.4b	(/.f64 (/.f64 1 x) (+.f64 y (.f64 y (.f64 z z))))
7.7b	(.f64 y (.f64 z z))

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_10749`
46×	`add-sqr-sqrt_binary64_10765`
45×	`add-cube-cbrt_binary64_10778` `*-un-lft-identity_binary64_10743`
16×	`add-exp-log_binary64_10781`
13×	`associate-/l*_binary64_10688`
12×	`add-cbrt-cube_binary64_10779`
7×	`pow1_binary64_10804`
6×	`div-exp_binary64_10794`
5×	`div-inv_binary64_10740`
3×	`cbrt-unprod_binary64_10776` `prod-exp_binary64_10792` `associate-l_binary64_10684` `cbrt-undiv_binary64_10777` `associate-/r*_binary64_10687` `pow-prod-down_binary64_10814`
2×	`associate-/r/_binary64_10689` `add-log-exp_binary64_10782`
1×	`frac-2neg_binary64_10754` `clear-num_binary64_10742` `associate-r_binary64_10683` `unswap-sqr_binary64_10711` `flip-+_binary64_10717` `1-exp_binary64_10787` `associate-/l/_binary64_10690` `*-commutative_binary64_10674` `flip3-+_binary64_10746` `rec-exp_binary64_10793`

Counts

2 → 93

Calls

2 calls:

12.0ms	(/.f64 (/.f64 1 x) (+.f64 y (.f64 y (.f64 z z))))
6.0ms	(.f64 y (.f64 z z))

series156.0ms (4.5%)

Counts

2 → 6

Calls

2 calls:

109.0ms	(/.f64 (/.f64 1 x) (+.f64 y (.f64 y (.f64 z z))))
47.0ms	(.f64 y (.f64 z z))

simplify97.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5640	2416

prune158.0ms (4.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	99	9	108

Merged error: 1.0b

Counts

108 → 9

Compiler

Compiled 3365 to 1707 computations (49.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (.f64 y z) z)
1.4b	(/.f64 (/.f64 1 x) (+.f64 y (.f64 (.f64 y z) z)))

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_10749`
45×	`add-sqr-sqrt_binary64_10765` `add-cube-cbrt_binary64_10778` `*-un-lft-identity_binary64_10743`
16×	`add-exp-log_binary64_10781`
13×	`associate-/l*_binary64_10688`
12×	`add-cbrt-cube_binary64_10779`
7×	`pow1_binary64_10804`
6×	`div-exp_binary64_10794`
5×	`div-inv_binary64_10740`
3×	`associate-r_binary64_10683` `cbrt-unprod_binary64_10776` `prod-exp_binary64_10792` `cbrt-undiv_binary64_10777` `associate-/r*_binary64_10687` `pow-prod-down_binary64_10814`
2×	`associate-/r/_binary64_10689` `add-log-exp_binary64_10782`
1×	`frac-2neg_binary64_10754` `clear-num_binary64_10742` `flip-+_binary64_10717` `1-exp_binary64_10787` `associate-/l/_binary64_10690` `-commutative_binary64_10674` `flip3-+_binary64_10746` `associate-l*_binary64_10684` `rec-exp_binary64_10793`

Counts

2 → 92

Calls

2 calls:

12.0ms	(/.f64 (/.f64 1 x) (+.f64 y (.f64 (.f64 y z) z)))
6.0ms	(.f64 (.f64 y z) z)

series163.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

119.0ms	(/.f64 (/.f64 1 x) (+.f64 y (.f64 (.f64 y z) z)))
45.0ms	(.f64 (.f64 y z) z)

simplify80.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4941	2404
1	4941	2404

prune324.0ms (9.4%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	91	7	98
Fresh	6	2	8
Picked	0	1	1
Done	0	0	0
Total	97	10	107

Merged error: 0.9b

Counts

107 → 10

Compiler

Compiled 6456 to 3706 computations (42.6% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 1 (+.f64 y (.f64 z (.f64 y z))))
0.1b	(.f64 z (.f64 y z))
1.5b	(.f64 (/.f64 1 x) (/.f64 1 (+.f64 y (.f64 z (*.f64 y z)))))

rewrite40.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

52×	`add-exp-log_binary64_10781`
50×	`add-sqr-sqrt_binary64_10765`
39×	`times-frac_binary64_10749`
32×	`*-un-lft-identity_binary64_10743`
26×	`add-cube-cbrt_binary64_10778`
22×	`add-cbrt-cube_binary64_10779`
19×	`prod-exp_binary64_10792`
18×	`div-exp_binary64_10794`
16×	`associate-r_binary64_10683` `associate-l_binary64_10684`
13×	`pow1_binary64_10804`
9×	`unswap-sqr_binary64_10711` `1-exp_binary64_10787` `rec-exp_binary64_10793`
7×	`cbrt-unprod_binary64_10776`
6×	`pow-prod-down_binary64_10814`
5×	`cbrt-undiv_binary64_10777`
4×	`associate-/r/_binary64_10689`
3×	`associate-/l_binary64_10688` `pow-flip_binary64_10817` `inv-pow_binary64_10828` `add-log-exp_binary64_10782` `div-inv_binary64_10740` `associate-/r_binary64_10687`
2×	`flip-+_binary64_10717` `*-commutative_binary64_10674` `flip3-+_binary64_10746`
1×	`frac-2neg_binary64_10754` `clear-num_binary64_10742` `un-div-inv_binary64_10741` `associate-r/_binary64_10685` `associate-l/_binary64_10686` `frac-times_binary64_10753`

Counts

3 → 123

Calls

3 calls:

17.0ms	(.f64 (/.f64 1 x) (/.f64 1 (+.f64 y (.f64 z (*.f64 y z)))))
6.0ms	(/.f64 1 (+.f64 y (.f64 z (.f64 y z))))
6.0ms	(.f64 z (.f64 y z))

series249.0ms (7.2%)

Counts

3 → 9

Calls

3 calls:

114.0ms	(.f64 (/.f64 1 x) (/.f64 1 (+.f64 y (.f64 z (*.f64 y z)))))
106.0ms	(/.f64 1 (+.f64 y (.f64 z (.f64 y z))))
29.0ms	(.f64 z (.f64 y z))

simplify99.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

132 → 132

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5258	2344

prune111.0ms (3.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	131	1	132
Fresh	3	5	8
Picked	0	1	1
Done	0	1	1
Total	134	8	142

Merged error: 0.9b

Counts

142 → 8

Compiler

Compiled 2632 to 1003 computations (61.9% saved)

regimes165.0ms (4.8%)

Compiler: Compiled 1360 to 1043 computations (23.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample682.0ms (19.8%)

Algorithm

1×

intervals

Results

291.0ms	8000×	body	128	valid
16.0ms	446×	body	128	invalid

Compiler

Compiled 212 to 156 computations (26.4% saved)

Details

analyze227.0ms (6.6%)

sample17.0ms (0.5%)

simplify174.0ms (5%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite24.0ms (0.7%)

series171.0ms (5%)

simplify76.0ms (2.2%)

prune344.0ms (10%)

localize7.0ms (0.2%)

rewrite28.0ms (0.8%)

series156.0ms (4.5%)

simplify97.0ms (2.8%)

prune158.0ms (4.6%)

localize7.0ms (0.2%)

rewrite28.0ms (0.8%)

series163.0ms (4.7%)

simplify80.0ms (2.3%)

prune324.0ms (9.4%)

localize9.0ms (0.3%)

rewrite40.0ms (1.2%)

series249.0ms (7.2%)

simplify99.0ms (2.9%)

prune111.0ms (3.2%)

regimes165.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample682.0ms (19.8%)

Profiling