Details

analyze284.0ms (8.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
62.5%	12.5%	25%	5
62.5%	6.2%	31.3%	6
65.6%	3.1%	31.3%	7
65.6%	1.6%	32.8%	8
66.4%	0.8%	32.8%	9
66.4%	0.4%	33.2%	10
66.6%	0.2%	33.2%	11
66.6%	0.1%	33.3%	12
66.6%	0%	33.3%	13
66.6%	0%	33.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample22.0ms (0.7%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify178.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (171.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13

prune7.0ms (0.2%)

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

0.1b

Counts

2 → 2

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.1b	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

rewrite81.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

13×	`add-sqr-sqrt_binary64_100`
12×	`associate-r_binary64_18`
7×	`add-exp-log_binary64_116`
6×	`add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`add-log-exp_binary64_117` `add-cbrt-cube_binary64_114` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`prod-exp_binary64_127` `associate-l_binary64_19`
2×	`pow1_binary64_139` `sqr-pow_binary64_50`
1×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `cbrt-unprod_binary64_111` `unpow3_binary64_144` `cube-mult_binary64_108` `*-commutative_binary64_9` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

2 → 43

Calls

2 calls:

13.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
7.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

Compiler

Compiled 700 to 555 computations (20.7% saved)

series126.0ms (3.9%)

Error

0.1b

Counts

2 → 9

Calls

2 calls:

82.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
38.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 188 to 162 computations (13.8% saved)

simplify109.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4867	584
1	4867	584

prune53.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	48	6	54

Error

0.0b

Counts

54 → 6

Compiler

Compiled 724 to 558 computations (22.9% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

0.1b

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

0.2b

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

rewrite75.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
6×	`add-sqr-sqrt_binary64_100`
5×	`add-log-exp_binary64_117` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
4×	`associate-l_binary64_19` `associate-r_binary64_18`
2×	`*-commutative_binary64_9`
1×	`unswap-sqr_binary64_46` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `distribute-rgt-out--_binary64_32`

Counts

3 → 53

Calls

3 calls:

8.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

6.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

4.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

Compiler

Compiled 958 to 554 computations (42.2% saved)

series159.0ms (4.9%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

83.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x))

43.0ms

(*.f64 (*.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

26.0ms

(*.f64 4647935950575487/36028797018963968 (*.f64 x x))

Compiler

Compiled 287 to 240 computations (16.4% saved)

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4947	669
1	4947	669

prune73.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	66	5	71

Error

Counts

71 → 5

Compiler

Compiled 871 to 631 computations (27.6% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968))

0.1b

(*.f64 x (+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968)))

0.2b

(*.f64 (*.f64 x x) -4647935950575487/36028797018963968)

rewrite61.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
9×	`add-sqr-sqrt_binary64_100`
6×	`add-cube-cbrt_binary64_113` `-un-lft-identity_binary64_78` `associate-r*_binary64_18`
5×	`add-log-exp_binary64_117`
4×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111` `associate-l_binary64_19`
2×	`unswap-sqr_binary64_46` `-commutative_binary64_9` `flip3-+_binary64_81` `associate-r/_binary64_20` `flip-+_binary64_52`
1×	`distribute-rgt-in_binary64_28` `distribute-lft-in_binary64_27` `sum-log_binary64_169` `+-commutative_binary64_8`

Counts

3 → 52

Calls

3 calls:

6.0ms

(*.f64 (*.f64 x x) -4647935950575487/36028797018963968)

6.0ms

(*.f64 x (+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968)))

3.0ms

(+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968))

Compiler

Compiled 863 to 533 computations (38.2% saved)

series168.0ms (5.2%)

Error

Counts

3 → 15

Calls

3 calls:

69.0ms

(*.f64 x (+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968)))

58.0ms

(+.f64 2150310427208497/2251799813685248 (*.f64 (*.f64 x x) -4647935950575487/36028797018963968))

32.0ms

(*.f64 (*.f64 x x) -4647935950575487/36028797018963968)

Compiler

Compiled 303 to 258 computations (14.9% saved)

simplify82.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5017	781

prune93.0ms (2.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	67	0	67
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	67	5	72

Error

Counts

72 → 5

Compiler

Compiled 876 to 598 computations (31.7% saved)

localize14.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

0.1b

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

0.2b

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

rewrite144.0ms (4.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_100`
18×	`add-exp-log_binary64_116` `associate-l_binary64_19`
10×	`prod-exp_binary64_127` `add-cbrt-cube_binary64_114` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78` `sqrt-prod_binary64_94`
8×	`unswap-sqr_binary64_46`
7×	`associate-r_binary64_18`
5×	`pow1_binary64_139` `add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `cube-prod_binary64_106`
4×	`cbrt-unprod_binary64_111`
3×	`sqr-pow_binary64_50`
2×	`pow-to-exp_binary64_147` `pow-exp_binary64_146` `*-commutative_binary64_9`
1×	`pow-prod-down_binary64_149` `unpow3_binary64_144` `cube-mult_binary64_108` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

3 → 72

Calls

3 calls:

15.0ms

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

12.0ms

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

8.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

Compiler

Compiled 1520 to 1298 computations (14.6% saved)

series265.0ms (8.2%)

Error

Counts

3 → 12

Calls

3 calls:

105.0ms

(-.f64 (*.f64 2150310427208497/2251799813685248 x) (*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))

74.0ms

(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

69.0ms

(*.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))

Compiler

Compiled 379 to 341 computations (10% saved)

simplify57.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4946	1044
1	4946	1044

prune131.0ms (4.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Error

Counts

89 → 5

Compiler

Compiled 1318 to 1078 computations (18.2% saved)

regimes88.0ms (2.7%)

Accuracy

Total 0.1b remaining (93.6%)

Threshold costs 0.1b (93.6%)

Compiler

Compiled 480 to 404 computations (15.8% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

end0.0ms (0%)

sample871.0ms (27%)

Algorithm

1×

intervals

Results

292.0ms

8000×

body

128

valid

Compiler

Compiled 249 to 211 computations (15.3% saved)

Details

analyze284.0ms (8.8%)

sample22.0ms (0.7%)

simplify178.0ms (5.5%)

prune7.0ms (0.2%)

localize11.0ms (0.3%)

rewrite81.0ms (2.5%)

series126.0ms (3.9%)

simplify109.0ms (3.4%)

prune53.0ms (1.6%)

localize7.0ms (0.2%)

rewrite75.0ms (2.3%)

series159.0ms (4.9%)

simplify62.0ms (1.9%)

prune73.0ms (2.3%)

localize10.0ms (0.3%)

rewrite61.0ms (1.9%)

series168.0ms (5.2%)

simplify82.0ms (2.5%)

prune93.0ms (2.9%)

localize14.0ms (0.4%)

rewrite144.0ms (4.5%)

series265.0ms (8.2%)

simplify57.0ms (1.8%)

prune131.0ms (4.1%)

regimes88.0ms (2.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample871.0ms (27%)

Profiling