Details

analyze70.0ms (2.9%)

Algorithm

1×

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
12.5%	87.4%	0.1%	4
31.2%	68.7%	0.1%	5
43.7%	56.2%	0.1%	6
56.2%	40.6%	3.2%	7
64%	29.7%	6.3%	8
71%	20.3%	8.7%	9
75.3%	15.2%	9.5%	10
79%	10.1%	10.8%	11
81.3%	7.7%	11%	12
83.2%	5%	11.8%	13
84.4%	3.8%	11.8%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample12.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	255×	body	128	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify181.0ms (7.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (13.0ms)

Iter	Nodes	Cost
0	238	10
1	238	10

prune2.0ms (0.1%)

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 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b	(*.f64 (+.f64 x 1) y)

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64_6817` `add-sqr-sqrt_binary64_6838`
4×	`pow1_binary64_6875` `add-exp-log_binary64_6852` `add-cbrt-cube_binary64_6850` `associate-l_binary64_6760` `add-log-exp_binary64_6853` `add-cube-cbrt_binary64_6849`
3×	`associate-r_binary64_6759`
2×	`associate-*l/_binary64_6762`
1×	`pow-prod-down_binary64_6885` `cbrt-unprod_binary64_6847` `diff-log_binary64_6906` `flip3-+_binary64_6820` `sub-neg_binary64_6810` `flip3--_binary64_6821` `unswap-sqr_binary64_6785` `flip-+_binary64_6791` `distribute-lft-out_binary64_6770` `prod-exp_binary64_6863` `flip--_binary64_6792` `*-commutative_binary64_6750`

Counts

2 → 32

Calls

2 calls:

7.0ms	(*.f64 (+.f64 x 1) y)
7.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

series65.0ms (2.8%)

Counts

2 → 6

Calls

2 calls:

35.0ms	(*.f64 (+.f64 x 1) y)
30.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify69.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5008	440

prune35.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	35	3	38
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	4	39

Merged error: 0b

Counts

39 → 4

Compiler

Compiled 491 to 323 computations (34.2% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))
0.2b	(cbrt.f64 (+.f64 x 1))

rewrite33.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64_6845`
35×	`*-un-lft-identity_binary64_6817`
23×	`add-sqr-sqrt_binary64_6838`
18×	`cbrt-div_binary64_6846`
15×	`add-cube-cbrt_binary64_6849`
11×	`pow1_binary64_6875`
9×	`flip3-+_binary64_6820` `pow1/3_binary64_6896` `flip-+_binary64_6791` `distribute-lft-out_binary64_6770` `swap-sqr_binary64_6784`
7×	`associate-r_binary64_6759` `associate-l_binary64_6760`
6×	`add-exp-log_binary64_6852`
4×	`unswap-sqr_binary64_6785` `add-cbrt-cube_binary64_6850` `frac-times_binary64_6827` `add-log-exp_binary64_6853`
2×	`pow-prod-down_binary64_6885` `associate-l/_binary64_6762` `pow-prod-up_binary64_6884` `pow-sqr_binary64_6790` `associate-r/_binary64_6761`
1×	`pow2_binary64_6895` `pow-plus_binary64_6877` `cbrt-unprod_binary64_6847` `prod-exp_binary64_6863` `*-commutative_binary64_6750`

Counts

4 → 95

Calls

4 calls:

13.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
4.0ms	(cbrt.f64 (+.f64 x 1))
4.0ms	(cbrt.f64 (+.f64 x 1))
3.0ms	(cbrt.f64 (+.f64 x 1))

series179.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt.f64 (+.f64 x 1))
47.0ms	(*.f64 (cbrt.f64 (+.f64 x 1)) (cbrt.f64 (+.f64 x 1)))
42.0ms	(cbrt.f64 (+.f64 x 1))
41.0ms	(cbrt.f64 (+.f64 x 1))

simplify70.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4929	1496
1	4929	1496

prune138.0ms (5.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

Compiler

Compiled 2499 to 1862 computations (25.5% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
4.9b	(.f64 y (-.f64 (.f64 x x) 1))
8.2b	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))

rewrite42.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64_6838`
16×	`*-un-lft-identity_binary64_6817`
10×	`add-exp-log_binary64_6852` `add-cbrt-cube_binary64_6850`
7×	`difference-of-squares_binary64_6786` `times-frac_binary64_6823` `associate-/r*_binary64_6763` `add-cube-cbrt_binary64_6849`
6×	`associate-r_binary64_6759`
5×	`pow1_binary64_6875` `add-log-exp_binary64_6853`
4×	`flip3--_binary64_6821` `flip--_binary64_6792` `associate-*r/_binary64_6761`
3×	`difference-of-sqr-1_binary64_6787` `distribute-lft-out--_binary64_6771` `sub-neg_binary64_6810` `associate-l_binary64_6760`
2×	`div-exp_binary64_6865` `associate-/l/_binary64_6766` `associate-/r/_binary64_6765` `cbrt-unprod_binary64_6847` `cbrt-undiv_binary64_6848` `prod-exp_binary64_6863`
1×	`associate-/l_binary64_6764` `frac-2neg_binary64_6828` `pow-prod-down_binary64_6885` `diff-log_binary64_6906` `clear-num_binary64_6816` `div-inv_binary64_6814` `distribute-lft-in_binary64_6768` `distribute-rgt-in_binary64_6769` `unswap-sqr_binary64_6785` `-commutative_binary64_6750`

Counts

3 → 71

Calls

3 calls:

16.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)
12.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
8.0ms	(.f64 y (-.f64 (.f64 x x) 1))

series327.0ms (13.8%)

Counts

3 → 9

Calls

3 calls:

143.0ms	(/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1))
92.0ms	(.f64 y (-.f64 (.f64 x x) 1))
92.0ms	(-.f64 (/.f64 (.f64 y (-.f64 (.f64 x x) 1)) (-.f64 x 1)) x)

simplify61.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4946	1148
1	4946	1148

prune70.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	80	4	84

Merged error: 0b

Counts

84 → 4

Compiler

Compiled 1315 to 814 computations (38.1% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 (+.f64 x 1) y) x)
0.0b	(*.f64 (+.f64 x 1) y)
0.0b	(pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3)
35.4b	(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3))

rewrite36.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary64_6817` `add-sqr-sqrt_binary64_6838`
12×	`cbrt-prod_binary64_6845` `add-cube-cbrt_binary64_6849`
7×	`pow1_binary64_6875` `add-exp-log_binary64_6852` `add-cbrt-cube_binary64_6850`
6×	`cube-prod_binary64_6842` `add-log-exp_binary64_6853` `unpow-prod-down_binary64_6893`
4×	`cube-div_binary64_6843` `associate-l_binary64_6760`
3×	`associate-r_binary64_6759` `pow-unpow_binary64_6891` `flip3--_binary64_6821` `flip--_binary64_6792`
2×	`cbrt-div_binary64_6846` `associate-*l/_binary64_6762` `sqr-pow_binary64_6789` `unpow3_binary64_6880` `cube-mult_binary64_6844`
1×	`pow-prod-down_binary64_6885` `pow-exp_binary64_6882` `cbrt-unprod_binary64_6847` `pow-to-exp_binary64_6883` `diff-log_binary64_6906` `flip3-+_binary64_6820` `sub-neg_binary64_6810` `pow1/3_binary64_6896` `unswap-sqr_binary64_6785` `flip-+_binary64_6791` `distribute-lft-out_binary64_6770` `pow-pow_binary64_6886` `prod-exp_binary64_6863` `rem-cube-cbrt_binary64_6839` `rem-cbrt-cube_binary64_6840` `*-commutative_binary64_6750`

Counts

4 → 80

Calls

4 calls:

9.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3))
8.0ms	(pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3)
7.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)
7.0ms	(*.f64 (+.f64 x 1) y)

series155.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

60.0ms	(pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3)
33.0ms	(*.f64 (+.f64 x 1) y)
31.0ms	(cbrt.f64 (pow.f64 (-.f64 (*.f64 (+.f64 x 1) y) x) 3))
30.0ms	(-.f64 (*.f64 (+.f64 x 1) y) x)

simplify96.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4917	1416
1	4917	1416

prune79.0ms (3.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	92	4	96

Merged error: 0b

Counts

96 → 4

Compiler

Compiled 1409 to 980 computations (30.4% saved)

regimes63.0ms (2.7%)

Compiler: Compiled 420 to 356 computations (15.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample536.0ms (22.6%)

Algorithm

1×

intervals

Results

194.0ms	7999×	body	128	valid
2.0ms	71×	body	128	invalid
0.0ms	1×	body	1024	valid

Compiler

Compiled 149 to 127 computations (14.8% saved)

Details

analyze70.0ms (2.9%)

sample12.0ms (0.5%)

simplify181.0ms (7.7%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite16.0ms (0.7%)

series65.0ms (2.8%)

simplify69.0ms (2.9%)

prune35.0ms (1.5%)

localize9.0ms (0.4%)

rewrite33.0ms (1.4%)

series179.0ms (7.5%)

simplify70.0ms (2.9%)

prune138.0ms (5.8%)

localize8.0ms (0.4%)

rewrite42.0ms (1.8%)

series327.0ms (13.8%)

simplify61.0ms (2.6%)

prune70.0ms (2.9%)

localize8.0ms (0.3%)

rewrite36.0ms (1.5%)

series155.0ms (6.5%)

simplify96.0ms (4.1%)

prune79.0ms (3.4%)

regimes63.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample536.0ms (22.6%)

Profiling