Details

analyze456.0ms (11.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	779	40
1	779	40
0	3	3
1	3	3

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
36.7%	60.8%	2.5%	9
43.3%	49.9%	6.8%	10
49.7%	40.8%	9.5%	11
58.2%	30.2%	11.6%	12
61.3%	24.4%	14.3%	13
65%	19.8%	15.3%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample30.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	301	10
1	301	10

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

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite52.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64_100` `cancel-sign-sub-inv_binary64_44`
10×	`*-un-lft-identity_binary64_78`
8×	`add-cube-cbrt_binary64_113` `distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `associate-+r+_binary64_10`
5×	`associate-r_binary64_18`
4×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `sub-neg_binary64_71`
3×	`associate-l_binary64_19`
2×	`associate-*r/_binary64_20`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `flip3--_binary64_82` `flip--_binary64_53` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30` `*-commutative_binary64_9` `sum-log_binary64_169` `flip3-+_binary64_81` `flip-+_binary64_52` `+-commutative_binary64_8`

Counts

2 → 49

Calls

2 calls:

9.0ms	(*.f64 y (-.f64 z x))
4.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 682 to 192 computations (71.8% saved)

series295.0ms (7.6%)

Error

Counts

2 → 33

Calls

2 calls:

152.0ms	(*.f64 y (-.f64 z x))
121.0ms	(+.f64 x (*.f64 y (-.f64 z x)))

Compiler

Compiled 618 to 364 computations (41.1% saved)

simplify90.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5323	764

prune49.0ms (1.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	79	3	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	3	83

Error

Counts

83 → 3

Compiler

Compiled 843 to 183 computations (78.3% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
0.0b	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

rewrite63.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-log-exp_binary64_117`
7×	`sum-log_binary64_169`
4×	`*-un-lft-identity_binary64_78` `associate-+r-_binary64_12`
2×	`neg-log_binary64_171` `pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `flip3-+_binary64_81` `unsub-neg_binary64_72` `flip-+_binary64_52` `neg-sub0_binary64_73` `+-commutative_binary64_8`
1×	`distribute-lft-neg-in_binary64_35` `distribute-rgt-out_binary64_31` `distribute-lft-out_binary64_29` `associate-+r+_binary64_10`

Counts

2 → 32

Calls

2 calls:

12.0ms	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
9.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 575 to 119 computations (79.3% saved)

series277.0ms (7.2%)

Error

Counts

2 → 33

Calls

2 calls:

142.0ms	(+.f64 x (+.f64 (.f64 z y) (neg.f64 (.f64 x y))))
120.0ms	(+.f64 (.f64 z y) (neg.f64 (.f64 x y)))

Compiler

Compiled 624 to 371 computations (40.5% saved)

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	5313	635

prune44.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	65	3	68

Error

Counts

68 → 3

Compiler

Compiled 636 to 121 computations (81% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 z x) y)
0.3b	(.f64 (sqrt.f64 (.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)))
2.2b	(sqrt.f64 (*.f64 (-.f64 z x) y))
2.2b	(sqrt.f64 (*.f64 (-.f64 z x) y))

rewrite140.0ms (3.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64_139`
32×	`sqrt-pow1_binary64_96`
23×	`pow-prod-down_binary64_149`
20×	`associate-*l/_binary64_21`
16×	`add-sqr-sqrt_binary64_100` `sqrt-div_binary64_95`
12×	`pow1/2_binary64_158` `*-un-lft-identity_binary64_78`
10×	`add-cube-cbrt_binary64_113` `pow-prod-up_binary64_148`
9×	`flip3--_binary64_82` `flip--_binary64_53` `associate-l_binary64_19`
8×	`add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
7×	`associate-r_binary64_18`
6×	`sqrt-prod_binary64_94` `pow-sqr_binary64_51`
4×	`add-log-exp_binary64_117` `frac-times_binary64_88` `swap-sqr_binary64_45`
2×	`prod-exp_binary64_127` `cbrt-unprod_binary64_111` `unswap-sqr_binary64_46` `associate-r/_binary64_20` `-commutative_binary64_9`
1×	`pow2_binary64_159` `pow-plus_binary64_141` `sqrt-unprod_binary64_98` `rem-square-sqrt_binary64_90` `difference-of-squares_binary64_47` `distribute-lft-out--_binary64_30`

Counts

4 → 105

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)))
8.0ms	(sqrt.f64 (*.f64 (-.f64 z x) y))
7.0ms	(*.f64 (-.f64 z x) y)
6.0ms	(sqrt.f64 (*.f64 (-.f64 z x) y))

Compiler

Compiled 2248 to 543 computations (75.8% saved)

series469.0ms (12.1%)

Error

Counts

4 → 49

Calls

4 calls:

126.0ms	(.f64 (sqrt.f64 (.f64 (-.f64 z x) y)) (sqrt.f64 (*.f64 (-.f64 z x) y)))
117.0ms	(*.f64 (-.f64 z x) y)
104.0ms	(sqrt.f64 (*.f64 (-.f64 z x) y))
94.0ms	(sqrt.f64 (*.f64 (-.f64 z x) y))

Compiler

Compiled 2280 to 1312 computations (42.5% saved)

simplify79.0ms (2%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5112	1474

prune121.0ms (3.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	154	3	157

Error

Counts

157 → 3

Compiler

Compiled 2380 to 514 computations (78.4% saved)

localize18.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 x (.f64 z y)) (.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y))
0.2b	(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))

rewrite84.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

16×	`associate-l_binary64_19`
13×	`add-sqr-sqrt_binary64_100`
10×	`sqrt-prod_binary64_94`
9×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
7×	`add-log-exp_binary64_117`
6×	`distribute-rgt-neg-in_binary64_36` `distribute-lft-neg-in_binary64_35` `associate-r_binary64_18`
4×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
3×	`distribute-lft-neg-out_binary64_37` `sum-log_binary64_169`
2×	`unswap-sqr_binary64_46`
1×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `neg-mul-1_binary64_74` `*-commutative_binary64_9` `flip3-+_binary64_81` `unsub-neg_binary64_72` `flip-+_binary64_52` `associate-+l+_binary64_11` `+-commutative_binary64_8`

Counts

2 → 50

Calls

2 calls:

17.0ms	(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
13.0ms	(+.f64 (+.f64 x (.f64 z y)) (.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y))

Compiler

Compiled 1081 to 210 computations (80.6% saved)

series173.0ms (4.5%)

Error

Counts

2 → 20

Calls

2 calls:

132.0ms	(+.f64 (+.f64 x (.f64 z y)) (.f64 (*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x)) y))
26.0ms	(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))

Compiler

Compiled 404 to 261 computations (35.4% saved)

simplify92.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5215	650

prune45.0ms (1.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	70	3	73

Error

Counts

73 → 3

Compiler

Compiled 938 to 191 computations (79.6% saved)

regimes183.0ms (4.7%)

Accuracy

Total 0.0b remaining (76.7%)

Threshold costs 0.0b (76.7%)

Compiler

Compiled 896 to 718 computations (19.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample971.0ms (25.1%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	128	valid
22.0ms	579×	body	128	invalid

Compiler

Compiled 236 to 189 computations (19.9% saved)

Details

analyze456.0ms (11.8%)

sample30.0ms (0.8%)

simplify18.0ms (0.5%)

prune2.0ms (0%)

localize5.0ms (0.1%)

rewrite52.0ms (1.3%)

series295.0ms (7.6%)

simplify90.0ms (2.3%)

prune49.0ms (1.3%)

localize9.0ms (0.2%)

rewrite63.0ms (1.6%)

series277.0ms (7.2%)

simplify99.0ms (2.5%)

prune44.0ms (1.1%)

localize8.0ms (0.2%)

rewrite140.0ms (3.6%)

series469.0ms (12.1%)

simplify79.0ms (2%)

prune121.0ms (3.1%)

localize18.0ms (0.5%)

rewrite84.0ms (2.2%)

series173.0ms (4.5%)

simplify92.0ms (2.4%)

prune45.0ms (1.2%)

regimes183.0ms (4.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample971.0ms (25.1%)

Profiling