Details

analyze553.0ms (14.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1429	40
1	1429	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
21.8%	78%	0.1%	7
26.5%	73.3%	0.1%	8
36.7%	63.2%	0.1%	9
41.3%	49.9%	8.7%	10
47.2%	43.3%	9.5%	11
54.4%	35.5%	10.1%	12
57.9%	27.4%	14.7%	13
61.7%	23.2%	15.1%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 8 computations (0% saved)

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	19×	body	128	invalid

Compiler

Compiled 15 to 18 computations (-20% saved)

simplify36.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	569	10
1	569	10

prune3.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite52.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

10×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
5×	`add-cube-cbrt_binary64_795`
4×	`frac-times_binary64_770` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `associate-l_binary64_701`
3×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `flip3--_binary64_764` `flip3-+_binary64_763` `flip--_binary64_735` `flip-+_binary64_734`
2×	`sub-neg_binary64_753` `associate-l/_binary64_703` `associate-r/_binary64_702` `difference-of-squares_binary64_729`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `distribute-lft-out_binary64_711` `distribute-lft-out--_binary64_712` `*-commutative_binary64_691`

Counts

1 → 38

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 620 to 309 computations (50.2% saved)

series131.0ms (3.4%)

Error

0.0b

Counts

1 → 18

Calls

1 calls:

120.0ms

(*.f64 (+.f64 x y) (-.f64 1 z))

Compiler

Compiled 391 to 229 computations (41.4% saved)

simplify58.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4978	732
1	4978	732

prune45.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	4	57

Error

0.0b

Counts

57 → 4

Compiler

Compiled 685 to 315 computations (54% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite54.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`*-un-lft-identity_binary64_760`
12×	`add-log-exp_binary64_799`
6×	`add-sqr-sqrt_binary64_782` `flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734` `sum-log_binary64_851`
5×	`distribute-lft-out_binary64_711`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `associate-r_binary64_700` `distribute-neg-frac_binary64_724` `frac-add_binary64_768`
3×	`associate-l_binary64_701` `distribute-lft-neg-in_binary64_717`
2×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `neg-log_binary64_853` `distribute-rgt-out_binary64_713` `distribute-neg-in_binary64_721` `associate-+r+_binary64_692`
1×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `*-commutative_binary64_691` `unsub-neg_binary64_754` `distribute-rgt1-in_binary64_716` `neg-sub0_binary64_755` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `+-commutative_binary64_690`

Counts

2 → 51

Calls

2 calls:

7.0ms	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
6.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 952 to 248 computations (73.9% saved)

series241.0ms (6.3%)

Error

Counts

2 → 33

Calls

2 calls:

143.0ms	(+.f64 (+.f64 y x) (neg.f64 (*.f64 z (+.f64 y x))))
81.0ms	(*.f64 z (+.f64 y x))

Compiler

Compiled 801 to 439 computations (45.2% saved)

simplify74.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5164	960

prune50.0ms (1.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	85	3	88

Error

Counts

88 → 3

Compiler

Compiled 1042 to 316 computations (69.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite50.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

21×	`add-log-exp_binary64_799`
15×	`*-un-lft-identity_binary64_760`
12×	`sum-log_binary64_851`
7×	`distribute-lft-out_binary64_711`
6×	`flip3-+_binary64_763` `flip-+_binary64_734` `distribute-rgt-out_binary64_713`
4×	`neg-log_binary64_853` `distribute-neg-frac_binary64_724` `frac-add_binary64_768`
3×	`distribute-lft-neg-in_binary64_717`
2×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `+-commutative_binary64_690` `distribute-rgt-neg-in_binary64_718`
1×	`unsub-neg_binary64_754` `distribute-rgt1-in_binary64_716` `neg-sub0_binary64_755` `associate-+r-_binary64_694` `associate-+l+_binary64_693` `distribute-neg-in_binary64_721` `associate-+r+_binary64_692`

Counts

2 → 43

Calls

2 calls:

13.0ms	(+.f64 (+.f64 y x) (neg.f64 (+.f64 (.f64 y z) (.f64 x z))))
4.0ms	(+.f64 (.f64 y z) (.f64 x z))

Compiler

Compiled 1019 to 203 computations (80.1% saved)

series247.0ms (6.5%)

Error

Counts

2 → 33

Calls

2 calls:

138.0ms	(+.f64 (+.f64 y x) (neg.f64 (+.f64 (.f64 y z) (.f64 x z))))
94.0ms	(+.f64 (.f64 y z) (.f64 x z))

Compiler

Compiled 801 to 439 computations (45.2% saved)

simplify61.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5237	1015

prune44.0ms (1.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 982 to 281 computations (71.4% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.7b	(.f64 (+.f64 y x) (-.f64 1 (.f64 z z)))
12.4b	(/.f64 (.f64 (+.f64 y x) (-.f64 1 (.f64 z z))) (+.f64 1 z))

rewrite93.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_760`
9×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `add-sqr-sqrt_binary64_782`
8×	`frac-times_binary64_770` `associate-/l/_binary64_707`
7×	`flip3-+_binary64_763` `flip-+_binary64_734`
6×	`add-cube-cbrt_binary64_795` `flip3--_binary64_764` `flip--_binary64_735`
5×	`associate-r_binary64_700`
4×	`pow1_binary64_821` `times-frac_binary64_766` `associate-l/_binary64_703` `associate-r/_binary64_702` `associate-/r_binary64_704` `associate-l*_binary64_701`
3×	`distribute-lft-out_binary64_711`
2×	`prod-exp_binary64_809` `div-exp_binary64_811` `add-log-exp_binary64_799` `cbrt-undiv_binary64_794` `cbrt-unprod_binary64_793` `associate-/r/_binary64_706` `sub-neg_binary64_753` `distribute-rgt-in_binary64_710` `cancel-sign-sub-inv_binary64_726` `distribute-lft-in_binary64_709` `difference-of-squares_binary64_729`
1×	`frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `associate-/l_binary64_705` `pow-prod-down_binary64_831` `unswap-sqr_binary64_728` `-commutative_binary64_691`

Counts

2 → 66

Calls

2 calls:

12.0ms	(/.f64 (.f64 (+.f64 y x) (-.f64 1 (.f64 z z))) (+.f64 1 z))
9.0ms	(.f64 (+.f64 y x) (-.f64 1 (.f64 z z)))

Compiler

Compiled 1603 to 789 computations (50.8% saved)

series467.0ms (12.3%)

Error

Counts

2 → 36

Calls

2 calls:

274.0ms	(/.f64 (.f64 (+.f64 y x) (-.f64 1 (.f64 z z))) (+.f64 1 z))
166.0ms	(.f64 (+.f64 y x) (-.f64 1 (.f64 z z)))

Compiler

Compiled 1534 to 1141 computations (25.6% saved)

simplify64.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4966	1879
1	4966	1879

prune81.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	102	3	105

Error

Counts

105 → 3

Compiler

Compiled 1846 to 925 computations (49.9% saved)

regimes385.0ms (10.1%)

Accuracy

Total 0.0b remaining (96.7%)

Threshold costs 0.0b (96.7%)

Compiler

Compiled 3591 to 2800 computations (22% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	13
1	51	13

Remove

(sort x y)

Compiler

Compiled 18 to 12 computations (33.3% saved)

end0.0ms (0%)

sample959.0ms (25.2%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	128	valid
14.0ms	653×	body	128	invalid

Compiler

Compiled 519 to 405 computations (22% saved)

Details

analyze553.0ms (14.5%)

sample23.0ms (0.6%)

simplify36.0ms (0.9%)

prune3.0ms (0.1%)

localize5.0ms (0.1%)

rewrite52.0ms (1.4%)

series131.0ms (3.4%)

simplify58.0ms (1.5%)

prune45.0ms (1.2%)

localize6.0ms (0.2%)

rewrite54.0ms (1.4%)

series241.0ms (6.3%)

simplify74.0ms (1.9%)

prune50.0ms (1.3%)

localize8.0ms (0.2%)

rewrite50.0ms (1.3%)

series247.0ms (6.5%)

simplify61.0ms (1.6%)

prune44.0ms (1.2%)

localize8.0ms (0.2%)

rewrite93.0ms (2.4%)

series467.0ms (12.3%)

simplify64.0ms (1.7%)

prune81.0ms (2.1%)

regimes385.0ms (10.1%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample959.0ms (25.2%)

Profiling