Details

analyze4.0ms (0.2%)

Algorithm

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)

sample13.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify242.0ms (9.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4718	13
1	4718	13

prune5.0ms (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)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite13.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

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-cbrt-cube_binary64_114` `add-log-exp_binary64_117` `unpow-prod-down_binary64_157` `unswap-sqr_binary64_46` `cube-prod_binary64_106`
3×	`associate-l_binary64_19` `prod-exp_binary64_127`
2×	`sqr-pow_binary64_50` `pow1_binary64_139`
1×	`cube-mult_binary64_108` `*-commutative_binary64_9` `pow-exp_binary64_146` `pow-to-exp_binary64_147` `cbrt-unprod_binary64_111` `flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `cancel-sign-sub-inv_binary64_44` `unpow3_binary64_144` `sub-neg_binary64_71`

Counts

2 → 43

Calls

4 calls:

7.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
0.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

series106.0ms (4.3%)

Counts

2 → 9

Calls

2 calls:

73.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
33.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

Compiler

Compiled 121 to 109 computations (9.9% saved)

simplify92.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4867	584
1	4867	584

prune65.0ms (2.6%)

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 553 computations (23.6% saved)

localize7.0ms (0.3%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 4647935950575487/36028797018963968 (.f64 x x))
0.1b	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 (.f64 x x)) x))
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))

rewrite22.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
9×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `pow-prod-down_binary64_149`
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×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `unswap-sqr_binary64_46` `cancel-sign-sub-inv_binary64_44` `distribute-rgt-out--_binary64_32` `sub-neg_binary64_71`

Counts

3 → 53

Calls

6 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))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 (.f64 x x)) x))
0.0ms	(.f64 (.f64 4647935950575487/36028797018963968 (*.f64 x x)) x)

series136.0ms (5.5%)

Counts

3 → 12

Calls

3 calls:

76.0ms

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

35.0ms

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

25.0ms

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

Compiler

Compiled 187 to 163 computations (12.8% saved)

simplify61.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4947	669
1	4947	669

prune56.0ms (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 624 computations (28.4% saved)

localize6.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 4647935950575487/36028797018963968 (.f64 x x))
0.1b	(.f64 x (-.f64 2150310427208497/2251799813685248 (.f64 4647935950575487/36028797018963968 (*.f64 x x))))
0.0b	(-.f64 2150310427208497/2251799813685248 (.f64 4647935950575487/36028797018963968 (.f64 x x)))
0.0b	(-.f64 2150310427208497/2251799813685248 (.f64 4647935950575487/36028797018963968 (.f64 x x)))
0.1b	(.f64 x (-.f64 2150310427208497/2251799813685248 (.f64 4647935950575487/36028797018963968 (*.f64 x x))))
0.2b	(.f64 4647935950575487/36028797018963968 (.f64 x x))

rewrite21.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_114` `add-exp-log_binary64_116` `pow1_binary64_139`
9×	`add-sqr-sqrt_binary64_100`
6×	`associate-l_binary64_19` `add-cube-cbrt_binary64_113` `*-un-lft-identity_binary64_78`
5×	`add-log-exp_binary64_117`
4×	`cbrt-unprod_binary64_111` `prod-exp_binary64_127` `associate-r_binary64_18` `pow-prod-down_binary64_149`
3×	`cancel-sign-sub-inv_binary64_44` `sub-neg_binary64_71`
2×	`distribute-lft-in_binary64_27` `-commutative_binary64_9` `flip3--_binary64_82` `distribute-rgt-in_binary64_28` `flip--_binary64_53` `unswap-sqr_binary64_46` `associate-r/_binary64_20`
1×	`diff-log_binary64_170`

Counts

3 → 55

Calls

6 calls:

6.0ms	(.f64 x (-.f64 2150310427208497/2251799813685248 (.f64 4647935950575487/36028797018963968 (*.f64 x x))))
6.0ms	(.f64 4647935950575487/36028797018963968 (.f64 x x))
6.0ms	(-.f64 2150310427208497/2251799813685248 (.f64 4647935950575487/36028797018963968 (.f64 x x)))
0.0ms	(-.f64 2150310427208497/2251799813685248 (.f64 4647935950575487/36028797018963968 (.f64 x x)))
0.0ms	(.f64 x (-.f64 2150310427208497/2251799813685248 (.f64 4647935950575487/36028797018963968 (*.f64 x x))))

series131.0ms (5.3%)

Counts

3 → 15

Calls

3 calls:

66.0ms

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

41.0ms

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

25.0ms

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

Compiler

Compiled 192 to 172 computations (10.4% saved)

simplify80.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4854	815
1	4854	815

prune67.0ms (2.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	71	4	75

Error

Counts

75 → 4

Compiler

Compiled 916 to 598 computations (34.7% saved)

localize8.0ms (0.3%)

Local error

Found 6 expressions with local error:

0.2b	(.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))
0.0b	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))
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)))

rewrite27.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 72

Calls

6 calls:

9.0ms	(.f64 (sqrt.f64 4647935950575487/36028797018963968) (.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968)))
8.0ms	(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))
4.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))
0.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (sqrt.f64 4647935950575487/36028797018963968) (*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))))
0.0ms	(*.f64 (pow.f64 x 3) (sqrt.f64 4647935950575487/36028797018963968))

series214.0ms (8.7%)

Counts

3 → 12

Calls

3 calls:

102.0ms

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

66.0ms

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

46.0ms

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

Compiler

Compiled 245 to 227 computations (7.3% saved)

simplify54.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4946	1044
1	4946	1044

prune85.0ms (3.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Error

Counts

88 → 4

Compiler

Compiled 1318 to 1073 computations (18.6% saved)

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	343	431
1	343	431

regimes40.0ms (1.6%)

Compiler: Compiled 296 to 244 computations (17.6% saved)

bsearch0.0ms (0%)

regimes19.0ms (0.8%)

Compiler: Compiled 82 to 67 computations (18.3% saved)

bsearch0.0ms (0%)

regimes13.0ms (0.5%)

Compiler: Compiled 44 to 38 computations (13.6% saved)

bsearch0.0ms (0%)

regimes22.0ms (0.9%)

Compiler: Compiled 15 to 16 computations (-6.7% saved)

bsearch24.0ms (1%)

Steps

Iters	Range		Point
6	0.694616828524831	6.152779060662836	2.7638712165586954
9	-47910.491430791204	-0.12208613939130855	-2.691175105446575

Compiler

Compiled 1 to 1 computations (0% saved)

regimes11.0ms (0.4%)

Compiler: Compiled 8 to 11 computations (-37.5% saved)

bsearch0.0ms (0%)

regimes7.0ms (0.3%)

Accuracy

Total 0.1b remaining (97.8%)

Threshold costs 0.1b (97.8%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch5.0ms (0.2%)

Compiler: Compiled 59 to 47 computations (20.3% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	108	76
1	108	76

end0.0ms (0%)

sample781.0ms (31.8%)

Algorithm

1×

intervals

Results

220.0ms

8000×

body

128

valid

Compiler

Compiled 359 to 296 computations (17.5% saved)

Pareto

0.9444990334206298

Details

analyze4.0ms (0.2%)

sample13.0ms (0.5%)

simplify242.0ms (9.8%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

rewrite13.0ms (0.5%)

series106.0ms (4.3%)

simplify92.0ms (3.7%)

prune65.0ms (2.6%)

localize7.0ms (0.3%)

rewrite22.0ms (0.9%)

series136.0ms (5.5%)

simplify61.0ms (2.5%)

prune56.0ms (2.3%)

localize6.0ms (0.2%)

rewrite21.0ms (0.9%)

series131.0ms (5.3%)

simplify80.0ms (3.3%)

prune67.0ms (2.7%)

localize8.0ms (0.3%)

rewrite27.0ms (1.1%)

series214.0ms (8.7%)

simplify54.0ms (2.2%)

prune85.0ms (3.5%)

simplify12.0ms (0.5%)

regimes40.0ms (1.6%)

bsearch0.0ms (0%)

regimes19.0ms (0.8%)

bsearch0.0ms (0%)

regimes13.0ms (0.5%)

bsearch0.0ms (0%)

regimes22.0ms (0.9%)

bsearch24.0ms (1%)

regimes11.0ms (0.4%)

bsearch0.0ms (0%)

regimes7.0ms (0.3%)

bsearch5.0ms (0.2%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample781.0ms (31.8%)

Profiling