Details

analyze330.0ms (6.6%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample30.0ms (0.6%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify205.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (101.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune21.0ms (0.4%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 f n) (-.f64 n f))
0.0b	(/.f64 (+.f64 f n) (-.f64 n f))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
12×	`add-cube-cbrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`associate-/r*_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
4×	`associate-/l*_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-/l/_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

1 → 45

Calls

2 calls:

13.0ms	(/.f64 (+.f64 f n) (-.f64 n f))
0.0ms	(/.f64 (+.f64 f n) (-.f64 n f))

series134.0ms (2.7%)

Counts

1 → 18

Calls

1 calls:

134.0ms

(/.f64 (+.f64 f n) (-.f64 n f))

Compiler

Compiled 321 to 297 computations (7.5% saved)

simplify99.0ms (2%)

Algorithm

1×	egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5648	979

prune86.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	60	4	64

Error

Counts

64 → 4

Compiler

Compiled 826 to 235 computations (71.5% saved)

localize12.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.2b	(/.f64 (*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n))) (sqrt.f64 (-.f64 n f)))
0.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n))) (sqrt.f64 (-.f64 n f))) (/.f64 (cbrt.f64 (+.f64 f n)) (sqrt.f64 (-.f64 n f))))
0.0b	(sqrt.f64 (-.f64 n f))
0.0b	(sqrt.f64 (-.f64 n f))
0.5b	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(cbrt.f64 (+.f64 f n))
0.5b	(cbrt.f64 (+.f64 f n))

rewrite51.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

8 calls:

21.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
3.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (+.f64 f n))
3.0ms	(cbrt.f64 (+.f64 f n))
0.0ms	(sqrt.f64 (-.f64 n f))

series517.0ms (10.4%)

Counts

4 → 36

Calls

4 calls:

165.0ms	(*.f64 (cbrt.f64 (+.f64 f n)) (cbrt.f64 (+.f64 f n)))
136.0ms	(cbrt.f64 (+.f64 f n))
109.0ms	(cbrt.f64 (+.f64 f n))
107.0ms	(cbrt.f64 (+.f64 f n))

Compiler

Compiled 2016 to 1326 computations (34.2% saved)

simplify159.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4880	1620
1	4880	1620

prune161.0ms (3.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	131	4	135

Error

Counts

135 → 4

Compiler

Compiled 3653 to 646 computations (82.3% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 1 (*.f64 2 (/.f64 f n)))
0.0b	(*.f64 2 (/.f64 f n))
0.0b	(+.f64 1 (*.f64 2 (/.f64 f n)))
0.0b	(*.f64 2 (/.f64 f n))

rewrite26.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 43

Calls

4 calls:

14.0ms	(*.f64 2 (/.f64 f n))
6.0ms	(+.f64 1 (*.f64 2 (/.f64 f n)))
0.0ms	(*.f64 2 (/.f64 f n))
0.0ms	(+.f64 1 (*.f64 2 (/.f64 f n)))

series172.0ms (3.4%)

Counts

2 → 18

Calls

2 calls:

96.0ms	(+.f64 1 (*.f64 2 (/.f64 f n)))
76.0ms	(*.f64 2 (/.f64 f n))

Compiler

Compiled 186 to 192 computations (-3.2% saved)

simplify142.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (122.0ms)

Iter	Nodes	Cost
0	4923	622
1	4923	622

prune49.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	61	4	65

Error

Counts

65 → 4

Compiler

Compiled 652 to 387 computations (40.6% saved)

localize7.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))
0.0b	(*.f64 2 (/.f64 n f))
0.0b	(*.f64 2 (/.f64 n f))
0.1b	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
18×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
16×	`associate-r_binary64` `associate-l_binary64`
12×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
3×	`associate-*r/_binary64`
2×	`pow-prod-down_binary64` `add-log-exp_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `cancel-sign-sub-inv_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `frac-times_binary64` `*-commutative_binary64`
1×	`associate-*l/_binary64`

Counts

2 → 72

Calls

4 calls:

9.0ms	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))
8.0ms	(*.f64 2 (/.f64 n f))
0.0ms	(*.f64 2 (/.f64 n f))
0.0ms	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))

series370.0ms (7.4%)

Counts

2 → 18

Calls

2 calls:

276.0ms	(.f64 (/.f64 n f) (-.f64 -2 (.f64 2 (/.f64 n f))))
93.0ms	(*.f64 2 (/.f64 n f))

Compiler

Compiled 426 to 366 computations (14.1% saved)

simplify115.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4875	1337
1	4875	1337

prune106.0ms (2.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	90	4	94

Error

Counts

94 → 4

Compiler

Compiled 1618 to 866 computations (46.5% saved)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	153	423
1	153	423

regimes163.0ms (3.3%)

Accuracy

Total 0.0b remaining (92.5%)

Threshold costs 0.0b (92.5%)

Compiler

Compiled 857 to 494 computations (42.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	12
1	40	12

end0.0ms (0%)

sample2.0s (39.2%)

Algorithm

1×

intervals

Results

348.0ms

8000×

body

128

valid

Compiler

Compiled 846 to 483 computations (42.9% saved)

Pareto

0.2746837926714678

Details

analyze330.0ms (6.6%)

sample30.0ms (0.6%)

simplify205.0ms (4.1%)

prune21.0ms (0.4%)

localize11.0ms (0.2%)

rewrite18.0ms (0.4%)

series134.0ms (2.7%)

simplify99.0ms (2%)

prune86.0ms (1.7%)

localize12.0ms (0.2%)

rewrite51.0ms (1%)

series517.0ms (10.4%)

simplify159.0ms (3.2%)

prune161.0ms (3.2%)

localize9.0ms (0.2%)

rewrite26.0ms (0.5%)

series172.0ms (3.4%)

simplify142.0ms (2.9%)

prune49.0ms (1%)

localize7.0ms (0.1%)

rewrite24.0ms (0.5%)

series370.0ms (7.4%)

simplify115.0ms (2.3%)

prune106.0ms (2.1%)

simplify13.0ms (0.3%)

regimes163.0ms (3.3%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (39.2%)

Profiling