Details

analyze246.0ms (9.3%)

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)

sample20.0ms (0.8%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify150.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (144.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13

prune4.0ms (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

0.0b

Counts

2 → 2

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

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

0.1b

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

0.1b

(*.f64 (*.f64 x x) x)

rewrite82.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`pow1_binary64_139`
20×	`add-cbrt-cube_binary64_114`
17×	`add-exp-log_binary64_116`
9×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
6×	`pow-prod-up_binary64_148` `pow-plus_binary64_141` `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×	`pow2_binary64_159` `pow-sqr_binary64_51` `*-commutative_binary64_9`
1×	`pow3_binary64_161` `rem-3cbrt-lft_binary64_103` `unswap-sqr_binary64_46` `diff-log_binary64_170` `flip3--_binary64_82` `sub-neg_binary64_71` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44`

Counts

3 → 62

Calls

3 calls:

9.0ms

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

7.0ms

(*.f64 (*.f64 x x) x)

4.0ms

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

Compiler

Compiled 1069 to 556 computations (48% saved)

series148.0ms (5.6%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

69.0ms

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

38.0ms

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

32.0ms

(*.f64 (*.f64 x x) x)

Compiler

Compiled 269 to 231 computations (14.1% saved)

simplify81.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5400	597

prune66.0ms (2.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	72	2	74
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	4	76

Error

0.0b

Counts

76 → 4

Compiler

Compiled 905 to 666 computations (26.4% saved)

localize6.0ms (0.2%)

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))

rewrite57.0ms (2.2%)

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:

7.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))

Compiler

Compiled 700 to 555 computations (20.7% saved)

series118.0ms (4.4%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

75.0ms	(-.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)

simplify101.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4867	584
1	4867	584

prune47.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	53	3	56

Error

0.0b

Counts

56 → 3

Compiler

Compiled 689 to 524 computations (23.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite47.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`pow1_binary64_139` `add-exp-log_binary64_116` `add-cbrt-cube_binary64_114`
8×	`pow-prod-down_binary64_149` `prod-exp_binary64_127` `cbrt-unprod_binary64_111`
4×	`add-log-exp_binary64_117`
2×	`add-cube-cbrt_binary64_113` `add-sqr-sqrt_binary64_100` `*-un-lft-identity_binary64_78`
1×	`associate-l_binary64_19` `associate-r_binary64_18` `*-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 → 34

Calls

2 calls:

8.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))

Compiler

Compiled 663 to 381 computations (42.5% saved)

series116.0ms (4.4%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

74.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
36.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

Compiler

Compiled 188 to 162 computations (13.8% saved)

simplify80.0ms (3%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5542	478

prune34.0ms (1.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

0.0b

Counts

46 → 3

Compiler

Compiled 530 to 410 computations (22.6% saved)

localize9.0ms (0.3%)

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))

rewrite74.0ms (2.8%)

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)

series153.0ms (5.8%)

Error

0.0b

Counts

3 → 12

Calls

3 calls:

75.0ms

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

40.0ms

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

28.0ms

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

Compiler

Compiled 287 to 240 computations (16.4% saved)

simplify67.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4947	669
1	4947	669

prune54.0ms (2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Error

Counts

68 → 4

Compiler

Compiled 827 to 592 computations (28.4% saved)

regimes78.0ms (2.9%)

Accuracy

Total 0.1b remaining (97.2%)

Threshold costs 0.1b (97.2%)

Compiler

Compiled 646 to 480 computations (25.7% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	16
1	56	16

end0.0ms (0%)

sample800.0ms (30.2%)

Algorithm

1×

intervals

Results

245.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 334 to 249 computations (25.4% saved)

Details

analyze246.0ms (9.3%)

sample20.0ms (0.8%)

simplify150.0ms (5.7%)

prune4.0ms (0.2%)

localize7.0ms (0.3%)

rewrite82.0ms (3.1%)

series148.0ms (5.6%)

simplify81.0ms (3.1%)

prune66.0ms (2.5%)

localize6.0ms (0.2%)

rewrite57.0ms (2.2%)

series118.0ms (4.4%)

simplify101.0ms (3.8%)

prune47.0ms (1.8%)

localize7.0ms (0.3%)

rewrite47.0ms (1.8%)

series116.0ms (4.4%)

simplify80.0ms (3%)

prune34.0ms (1.3%)

localize9.0ms (0.3%)

rewrite74.0ms (2.8%)

series153.0ms (5.8%)

simplify67.0ms (2.5%)

prune54.0ms (2%)

regimes78.0ms (2.9%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample800.0ms (30.2%)

Profiling