Details

analyze187.0ms (11.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	504	20
1	504	20
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify23.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	364	10
1	364	10

prune9.0ms (0.5%)

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 → 2

Compiler

Compiled 23 to 19 computations (17.4% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 x y))
0.0b	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_17491`
4×	`-un-lft-identity_binary64_17469` `add-cube-cbrt_binary64_17504` `add-exp-log_binary64_17507` `add-log-exp_binary64_17508` `pow1_binary64_17530` `associate-r*_binary64_17409` `add-cbrt-cube_binary64_17505`
3×	`sub-neg_binary64_17462` `associate-l_binary64_17410` `cancel-sign-sub-inv_binary64_17435`
2×	`distribute-rgt-in_binary64_17419` `associate-*r/_binary64_17411` `distribute-lft-out--_binary64_17421` `distribute-lft-in_binary64_17418` `flip3--_binary64_17473` `flip--_binary64_17444`
1×	`*-commutative_binary64_17400` `prod-exp_binary64_17518` `unswap-sqr_binary64_17437` `diff-log_binary64_17561` `pow-prod-down_binary64_17540` `cbrt-unprod_binary64_17502`

Counts

2 → 38

Calls

2 calls:

7.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(-.f64 (.f64 x x) (.f64 x y))

series59.0ms (3.7%)

Counts

2 → 6

Calls

2 calls:

34.0ms	(.f64 2 (-.f64 (.f64 x x) (*.f64 x y)))
24.0ms	(-.f64 (.f64 x x) (.f64 x y))

simplify64.0ms (4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5053	533

prune33.0ms (2.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Compiler

Compiled 577 to 244 computations (57.7% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 2 x) (-.f64 x y))

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_17469` `add-exp-log_binary64_17507` `cancel-sign-sub-inv_binary64_17435` `add-sqr-sqrt_binary64_17491` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
5×	`associate-r_binary64_17409`
4×	`distribute-rgt-in_binary64_17419` `add-cube-cbrt_binary64_17504` `distribute-lft-in_binary64_17418`
3×	`prod-exp_binary64_17518` `pow-prod-down_binary64_17540` `cbrt-unprod_binary64_17502`
2×	`sub-neg_binary64_17462` `associate-*r/_binary64_17411`
1×	`-commutative_binary64_17400` `associate-l*_binary64_17410` `difference-of-squares_binary64_17438` `distribute-lft-out--_binary64_17421` `add-log-exp_binary64_17508` `flip3--_binary64_17473` `flip--_binary64_17444`

Counts

1 → 30

Calls

1 calls:

8.0ms

(*.f64 (*.f64 2 x) (-.f64 x y))

series31.0ms (2%)

Counts

1 → 3

Calls

1 calls:

31.0ms

(*.f64 (*.f64 2 x) (-.f64 x y))

simplify63.0ms (4%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4937	404
1	4937	404

prune22.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	33	3	36

Error

Counts

36 → 3

Compiler

Compiled 387 to 144 computations (62.8% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 2 (.f64 x x))
0.0b	(+.f64 (.f64 2 (.f64 x x)) (.f64 x (.f64 y -2)))

rewrite14.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64_17507` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
4×	`add-sqr-sqrt_binary64_17491` `add-log-exp_binary64_17508`
3×	`-un-lft-identity_binary64_17469` `associate-l*_binary64_17410` `add-cube-cbrt_binary64_17504` `prod-exp_binary64_17518` `pow-prod-down_binary64_17540` `cbrt-unprod_binary64_17502`
1×	`-commutative_binary64_17400` `flip3-+_binary64_17472` `flip-+_binary64_17443` `unswap-sqr_binary64_17437` `+-commutative_binary64_17399` `associate-r*_binary64_17409` `sum-log_binary64_17560`

Counts

2 → 30

Calls

2 calls:

6.0ms	(+.f64 (.f64 2 (.f64 x x)) (.f64 x (.f64 y -2)))
5.0ms	(.f64 2 (.f64 x x))

series53.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(+.f64 (.f64 2 (.f64 x x)) (.f64 x (.f64 y -2)))
17.0ms	(.f64 2 (.f64 x x))

simplify71.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4987	396
1	4987	396

prune30.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	36	3	39

Error

Counts

39 → 3

Compiler

Compiled 502 to 311 computations (38% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 x (-.f64 x y)))
0.0b	(*.f64 x (-.f64 x y))
0.2b	(pow.f64 (.f64 2 (.f64 x (-.f64 x y))) 3)
32.3b	(cbrt.f64 (pow.f64 (.f64 2 (.f64 x (-.f64 x y))) 3))

rewrite36.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`distribute-rgt-in_binary64_17419` `distribute-lft-in_binary64_17418`
19×	`add-sqr-sqrt_binary64_17491`
18×	`cancel-sign-sub-inv_binary64_17435`
17×	`*-un-lft-identity_binary64_17469` `add-exp-log_binary64_17507` `pow1_binary64_17530` `add-cbrt-cube_binary64_17505`
15×	`add-cube-cbrt_binary64_17504`
14×	`associate-*r/_binary64_17411`
8×	`cbrt-prod_binary64_17500`
7×	`prod-exp_binary64_17518` `pow-prod-down_binary64_17540` `cbrt-unprod_binary64_17502`
6×	`sub-neg_binary64_17462` `associate-l_binary64_17410` `associate-r_binary64_17409`
4×	`cube-div_binary64_17498` `add-log-exp_binary64_17508` `flip3--_binary64_17473` `flip--_binary64_17444`
3×	`pow-exp_binary64_17537` `rem-cube-cbrt_binary64_17492` `pow-pow_binary64_17541` `pow-unpow_binary64_17546`
2×	`*-commutative_binary64_17400` `cbrt-div_binary64_17501` `sqr-pow_binary64_17441` `unpow-prod-down_binary64_17548` `unpow3_binary64_17535` `cube-prod_binary64_17497` `cube-mult_binary64_17499`
1×	`pow1/3_binary64_17551` `difference-of-squares_binary64_17438` `unswap-sqr_binary64_17437` `distribute-lft-out--_binary64_17421` `pow-to-exp_binary64_17538` `rem-cbrt-cube_binary64_17493`

Counts

4 → 112

Calls

4 calls:

9.0ms	(pow.f64 (.f64 2 (.f64 x (-.f64 x y))) 3)
8.0ms	(.f64 2 (.f64 x (-.f64 x y)))
8.0ms	(*.f64 x (-.f64 x y))
4.0ms	(cbrt.f64 (pow.f64 (.f64 2 (.f64 x (-.f64 x y))) 3))

series133.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

39.0ms	(pow.f64 (.f64 2 (.f64 x (-.f64 x y))) 3)
38.0ms	(cbrt.f64 (pow.f64 (.f64 2 (.f64 x (-.f64 x y))) 3))
30.0ms	(*.f64 x (-.f64 x y))
27.0ms	(.f64 2 (.f64 x (-.f64 x y)))

simplify72.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5244	1603

prune90.0ms (5.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	3	127

Error

Counts

127 → 3

Compiler

Compiled 1792 to 954 computations (46.8% saved)

regimes53.0ms (3.3%)

Accuracy

Total 0.0b remaining (97.5%)

Threshold costs 0.0b (97.5%)

Compiler

Compiled 256 to 220 computations (14.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample477.0ms (30.1%)

Algorithm

1×

intervals

Results

211.0ms	8000×	body	128	valid
4.0ms	159×	body	128	invalid

Compiler

Compiled 83 to 72 computations (13.3% saved)

Details

analyze187.0ms (11.8%)

sample13.0ms (0.8%)

simplify23.0ms (1.5%)

prune9.0ms (0.5%)

localize6.0ms (0.4%)

rewrite14.0ms (0.9%)

series59.0ms (3.7%)

simplify64.0ms (4%)

prune33.0ms (2.1%)

localize5.0ms (0.3%)

rewrite10.0ms (0.6%)

series31.0ms (2%)

simplify63.0ms (4%)

prune22.0ms (1.4%)

localize7.0ms (0.5%)

rewrite14.0ms (0.9%)

series53.0ms (3.3%)

simplify71.0ms (4.5%)

prune30.0ms (1.9%)

localize8.0ms (0.5%)

rewrite36.0ms (2.3%)

series133.0ms (8.4%)

simplify72.0ms (4.5%)

prune90.0ms (5.7%)

regimes53.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample477.0ms (30.1%)

Profiling