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)

sample12.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 18 computations (21.7% saved)

simplify286.0ms (13%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4792	13
1	4792	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

Merged error: 0.0b

Counts

2 → 2

Compiler

Compiled 29 to 24 computations (17.2% saved)

localize6.0ms (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))

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_98`
12×	`associate-r_binary64_19`
7×	`add-exp-log_binary64_112`
6×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
4×	`add-cbrt-cube_binary64_110` `add-log-exp_binary64_113` `unswap-sqr_binary64_45` `unpow-prod-down_binary64_153` `cube-prod_binary64_102`
3×	`associate-l_binary64_20` `prod-exp_binary64_123`
2×	`sqr-pow_binary64_49` `pow1_binary64_135`
1×	`pow-to-exp_binary64_143` `cbrt-unprod_binary64_107` `sub-neg_binary64_70` `pow-exp_binary64_142` `cube-mult_binary64_104` `flip--_binary64_52` `*-commutative_binary64_10` `flip3--_binary64_81` `diff-log_binary64_166` `unpow3_binary64_140`

Counts

2 → 42

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)))

series195.0ms (8.8%)

Counts

2 → 6

Calls

2 calls:

141.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 4647935950575487/36028797018963968 (pow.f64 x 3)))
54.0ms	(*.f64 4647935950575487/36028797018963968 (pow.f64 x 3))

simplify46.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5335	565

prune57.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	44	6	50

Merged error: 0b

Counts

50 → 6

Compiler

Compiled 727 to 555 computations (23.7% 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)

rewrite24.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary64_135`
17×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110`
9×	`pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
6×	`pow-plus_binary64_137` `pow-prod-up_binary64_144` `add-sqr-sqrt_binary64_98`
5×	`add-log-exp_binary64_113` `add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77`
4×	`associate-l_binary64_20` `associate-r_binary64_19`
2×	`pow2_binary64_155` `pow-sqr_binary64_50` `*-commutative_binary64_10`
1×	`sub-neg_binary64_70` `flip--_binary64_52` `pow3_binary64_157` `unswap-sqr_binary64_45` `flip3--_binary64_81` `diff-log_binary64_166`

Counts

3 → 60

Calls

3 calls:

9.0ms

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

6.0ms

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

4.0ms

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

series246.0ms (11.1%)

Counts

3 → 9

Calls

3 calls:

134.0ms

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

62.0ms

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

49.0ms

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

simplify69.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5421	572

prune60.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	69	6	75

Merged error: 0b

Counts

75 → 6

Compiler

Compiled 898 to 659 computations (26.6% saved)

localize9.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
8×	`pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
4×	`add-log-exp_binary64_113`
2×	`add-cube-cbrt_binary64_109` `*-un-lft-identity_binary64_77` `add-sqr-sqrt_binary64_98`
1×	`associate-l_binary64_20` `sub-neg_binary64_70` `flip--_binary64_52` `-commutative_binary64_10` `flip3--_binary64_81` `diff-log_binary64_166` `associate-r*_binary64_19`

Counts

2 → 33

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)))

series176.0ms (8%)

Counts

2 → 6

Calls

2 calls:

126.0ms	(-.f64 (.f64 2150310427208497/2251799813685248 x) (.f64 (.f64 4647935950575487/36028797018963968 x) (.f64 x x)))
49.0ms	(.f64 (.f64 4647935950575487/36028797018963968 x) (*.f64 x x))

simplify73.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5376	453

prune36.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	40	5	45

Merged error: 0b

Counts

45 → 5

Compiler

Compiled 547 to 399 computations (27.1% saved)

localize6.0ms (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)

rewrite19.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_112` `add-cbrt-cube_binary64_110` `pow1_binary64_135`
9×	`add-sqr-sqrt_binary64_98`
6×	`add-cube-cbrt_binary64_109` `-un-lft-identity_binary64_77` `associate-r*_binary64_19`
5×	`add-log-exp_binary64_113`
4×	`associate-l_binary64_20` `pow-prod-down_binary64_145` `cbrt-unprod_binary64_107` `prod-exp_binary64_123`
2×	`flip-+_binary64_51` `flip3-+_binary64_80` `associate-r/_binary64_21` `unswap-sqr_binary64_45` `-commutative_binary64_10`
1×	`distribute-lft-in_binary64_28` `+-commutative_binary64_9` `distribute-rgt-in_binary64_29` `sum-log_binary64_165`

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))

series249.0ms (11.3%)

Counts

3 → 9

Calls

3 calls:

125.0ms

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

78.0ms

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

46.0ms

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

simplify58.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4968	748
1	4968	748

prune47.0ms (2.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	61	5	66

Merged error: 0b

Counts

66 → 5

Compiler

Compiled 811 to 518 computations (36.1% saved)

regimes31.0ms (1.4%)

Compiler: Compiled 146 to 116 computations (20.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	16
1	56	16

end0.0ms (0%)

sample454.0ms (20.6%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 84 to 67 computations (20.2% saved)

Details

analyze4.0ms (0.2%)

sample12.0ms (0.6%)

simplify286.0ms (13%)

prune4.0ms (0.2%)

localize6.0ms (0.3%)

rewrite14.0ms (0.6%)

series195.0ms (8.8%)

simplify46.0ms (2.1%)

prune57.0ms (2.6%)

localize7.0ms (0.3%)

rewrite24.0ms (1.1%)

series246.0ms (11.1%)

simplify69.0ms (3.1%)

prune60.0ms (2.7%)

localize9.0ms (0.4%)

rewrite14.0ms (0.7%)

series176.0ms (8%)

simplify73.0ms (3.3%)

prune36.0ms (1.6%)

localize6.0ms (0.3%)

rewrite19.0ms (0.9%)

series249.0ms (11.3%)

simplify58.0ms (2.6%)

prune47.0ms (2.1%)

regimes31.0ms (1.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample454.0ms (20.6%)

Profiling