Details

analyze339.0ms (12.4%)

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
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
2.0ms	45×	body	128	invalid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify140.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	738	15
1	738	15

prune4.0ms (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: 0.1b

Counts

2 → 2

Compiler

Compiled 32 to 28 computations (12.5% saved)

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
2.5b	(*.f64 (/.f64 x y) z)

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-l_binary64_19`
10×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
5×	`add-log-exp_binary64_117` `pow1_binary64_139`
4×	`associate-/l*_binary64_23` `distribute-lft-out_binary64_29`
3×	`associate-r_binary64_18` `associate-l/_binary64_21` `associate-/r_binary64_22`
2×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `div-inv_binary64_75` `unswap-sqr_binary64_46` `associate-/l/_binary64_25`
1×	`*-commutative_binary64_9` `flip-+_binary64_52` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `flip--_binary64_53` `pow-prod-down_binary64_149` `clear-num_binary64_77` `cancel-sign-sub-inv_binary64_44` `sub-div_binary64_85` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

3 → 79

Calls

3 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)
6.0ms	(/.f64 (+.f64 x 4) y)

series77.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
24.0ms	(*.f64 (/.f64 x y) z)
18.0ms	(/.f64 (+.f64 x 4) y)

simplify87.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4926	1165
1	4926	1165

prune87.0ms (3.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	4	88
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Merged error: 0.0b

Counts

90 → 5

Compiler

Compiled 1619 to 802 computations (50.5% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
2.4b	(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_100`
17×	`*-un-lft-identity_binary64_78`
14×	`add-cube-cbrt_binary64_113`
13×	`associate-l_binary64_19`
12×	`cancel-sign-sub-inv_binary64_44`
10×	`times-frac_binary64_84`
8×	`distribute-lft-in_binary64_27` `associate-+r+_binary64_10` `distribute-rgt-in_binary64_28`
7×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
6×	`associate-r_binary64_18`
5×	`frac-add_binary64_86`
4×	`add-log-exp_binary64_117` `flip3--_binary64_82` `frac-times_binary64_88` `flip--_binary64_53` `associate-*r/_binary64_20` `sub-neg_binary64_71` `pow1_binary64_139`
2×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-*l/_binary64_21` `unswap-sqr_binary64_46` `difference-of-squares_binary64_47`
1×	`+-commutative_binary64_8` `*-commutative_binary64_9` `cbrt-undiv_binary64_112` `div-exp_binary64_129` `flip-+_binary64_52` `distribute-lft-out--_binary64_30` `div-inv_binary64_75` `pow-prod-down_binary64_149` `sum-log_binary64_169` `flip3-+_binary64_81`

Counts

2 → 71

Calls

2 calls:

11.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
11.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

series78.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

42.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))
36.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))

simplify58.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5067	1213

prune92.0ms (3.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	77	5	82

Merged error: 0.0b

Counts

82 → 5

Compiler

Compiled 1465 to 819 computations (44.1% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (+.f64 x 4) (/.f64 1 y)) (.f64 (/.f64 x y) z))
0.1b	(*.f64 (+.f64 x 4) (/.f64 1 y))
2.5b	(*.f64 (/.f64 x y) z)

rewrite34.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary64_100`
22×	`*-un-lft-identity_binary64_78`
21×	`times-frac_binary64_84`
19×	`add-cube-cbrt_binary64_113`
17×	`associate-l_binary64_19` `add-exp-log_binary64_116`
16×	`associate-r_binary64_18`
13×	`add-cbrt-cube_binary64_114` `associate-*l/_binary64_21`
7×	`pow1_binary64_139`
6×	`prod-exp_binary64_127` `frac-sub_binary64_87`
5×	`add-log-exp_binary64_117` `unswap-sqr_binary64_46`
4×	`cbrt-unprod_binary64_111` `flip-+_binary64_52` `frac-times_binary64_88` `flip3-+_binary64_81`
3×	`div-exp_binary64_129` `un-div-inv_binary64_76` `associate-*r/_binary64_20`
2×	`*-commutative_binary64_9` `cbrt-undiv_binary64_112` `div-inv_binary64_75` `pow-prod-down_binary64_149` `sub-div_binary64_85`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `1-exp_binary64_122` `flip--_binary64_53` `rec-exp_binary64_128` `cancel-sign-sub-inv_binary64_44` `distribute-lft-out_binary64_29` `sub-neg_binary64_71`

Counts

3 → 93

Calls

3 calls:

10.0ms	(*.f64 (+.f64 x 4) (/.f64 1 y))
9.0ms	(-.f64 (.f64 (+.f64 x 4) (/.f64 1 y)) (.f64 (/.f64 x y) z))
7.0ms	(*.f64 (/.f64 x y) z)

series77.0ms (2.8%)

Counts

3 → 9

Calls

3 calls:

36.0ms	(-.f64 (.f64 (+.f64 x 4) (/.f64 1 y)) (.f64 (/.f64 x y) z))
23.0ms	(*.f64 (/.f64 x y) z)
17.0ms	(*.f64 (+.f64 x 4) (/.f64 1 y))

simplify63.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4996	1348
1	4996	1348

prune89.0ms (3.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	102	5	107

Merged error: 0.0b

Counts

107 → 5

Compiler

Compiled 1935 to 1012 computations (47.7% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (+.f64 x 4) y)
0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
4.1b	(*.f64 x (/.f64 z y))

rewrite30.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64_78`
25×	`add-sqr-sqrt_binary64_100`
22×	`times-frac_binary64_84`
20×	`add-cube-cbrt_binary64_113`
13×	`associate-r_binary64_18`
10×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116`
5×	`add-log-exp_binary64_117` `pow1_binary64_139`
4×	`associate-/l*_binary64_23` `distribute-lft-out_binary64_29`
3×	`associate-l_binary64_19` `associate-/r_binary64_22` `associate-r/_binary64_20`
2×	`cbrt-unprod_binary64_111` `cbrt-undiv_binary64_112` `prod-exp_binary64_127` `div-exp_binary64_129` `div-inv_binary64_75` `unswap-sqr_binary64_46` `associate-/l/_binary64_25`
1×	`*-commutative_binary64_9` `flip-+_binary64_52` `frac-sub_binary64_87` `flip3--_binary64_82` `diff-log_binary64_170` `frac-2neg_binary64_89` `flip--_binary64_53` `pow-prod-down_binary64_149` `clear-num_binary64_77` `cancel-sign-sub-inv_binary64_44` `sub-div_binary64_85` `sub-neg_binary64_71` `flip3-+_binary64_81`

Counts

3 → 79

Calls

3 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
7.0ms	(*.f64 x (/.f64 z y))
5.0ms	(/.f64 (+.f64 x 4) y)

series73.0ms (2.7%)

Counts

3 → 9

Calls

3 calls:

35.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 x (/.f64 z y)))
19.0ms	(*.f64 x (/.f64 z y))
19.0ms	(/.f64 (+.f64 x 4) y)

simplify70.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5239	1177

prune72.0ms (2.6%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	86	2	88
Fresh	1	1	2
Picked	1	0	1
Done	1	1	2
Total	89	4	93

Merged error: 0b

Counts

93 → 4

Compiler

Compiled 1543 to 735 computations (52.4% saved)

regimes237.0ms (8.6%)

Compiler: Compiled 2191 to 1574 computations (28.2% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 12 to 10 computations (16.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	74	59
1	74	59

end0.0ms (0%)

sample915.0ms (33.4%)

Algorithm

1×

intervals

Results

306.0ms	8000×	body	128	valid
48.0ms	1236×	body	128	invalid

Compiler

Compiled 460 to 329 computations (28.5% saved)

Details

analyze339.0ms (12.4%)

sample20.0ms (0.7%)

simplify140.0ms (5.1%)

prune4.0ms (0.1%)

localize12.0ms (0.4%)

rewrite28.0ms (1%)

series77.0ms (2.8%)

simplify87.0ms (3.2%)

prune87.0ms (3.2%)

localize8.0ms (0.3%)

rewrite28.0ms (1%)

series78.0ms (2.8%)

simplify58.0ms (2.1%)

prune92.0ms (3.4%)

localize11.0ms (0.4%)

rewrite34.0ms (1.2%)

series77.0ms (2.8%)

simplify63.0ms (2.3%)

prune89.0ms (3.3%)

localize8.0ms (0.3%)

rewrite30.0ms (1.1%)

series73.0ms (2.7%)

simplify70.0ms (2.6%)

prune72.0ms (2.6%)

regimes237.0ms (8.6%)

bsearch2.0ms (0.1%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample915.0ms (33.4%)

Profiling