Details

analyze4.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	75%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 10 computations (16.7% saved)

sample13.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms

256×

body

128

valid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify109.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))

rewrite54.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

67×	`*-un-lft-identity_binary64_2465`
41×	`times-frac_binary64_2471`
40×	`add-sqr-sqrt_binary64_2487`
24×	`add-cube-cbrt_binary64_2500`
12×	`distribute-lft-out_binary64_2416`
11×	`associate-/r*_binary64_2409`
9×	`add-exp-log_binary64_2503`
8×	`difference-of-squares_binary64_2434`
7×	`add-cbrt-cube_binary64_2501`
6×	`distribute-lft-out--_binary64_2417` `associate-/l*_binary64_2410`
5×	`add-log-exp_binary64_2504`
4×	`difference-of-sqr-1_binary64_2435` `pow1_binary64_2526` `associate-/r/_binary64_2411`
3×	`div-exp_binary64_2516` `div-inv_binary64_2462`
2×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `frac-2neg_binary64_2476`
1×	`+-commutative_binary64_2395` `flip--_binary64_2440` `sum-log_binary64_2556` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `rec-exp_binary64_2515` `flip3--_binary64_2469` `1-exp_binary64_2509` `frac-add_binary64_2473`

Counts

3 → 100

Calls

3 calls:

36.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 x (+.f64 x 1))

series115.0ms (6%)

Counts

3 → 33

Calls

3 calls:

60.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 x 1)))
28.0ms	(/.f64 x (+.f64 x 1))
26.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 488 to 424 computations (13.1% saved)

simplify89.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4936	1840
1	4936	1840

prune124.0ms (6.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	132	2	134

Error

Counts

134 → 2

Compiler

Compiled 2162 to 1574 computations (27.2% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (-.f64 x 1))
0.0b	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
0.0b	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
0.0b	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)

rewrite123.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Rules

149×	`*-un-lft-identity_binary64_2465`
61×	`times-frac_binary64_2471`
40×	`distribute-lft-out_binary64_2416`
38×	`add-sqr-sqrt_binary64_2487`
24×	`cbrt-prod_binary64_2496`
22×	`add-cube-cbrt_binary64_2500`
18×	`cube-prod_binary64_2493` `unpow-prod-down_binary64_2544`
14×	`distribute-lft-out--_binary64_2417`
9×	`add-exp-log_binary64_2503`
8×	`difference-of-squares_binary64_2434`
7×	`associate-/r*_binary64_2409` `add-cbrt-cube_binary64_2501`
6×	`add-log-exp_binary64_2504` `div-inv_binary64_2462` `pow1_binary64_2526` `cube-div_binary64_2494`
4×	`difference-of-sqr-1_binary64_2435`
3×	`flip3-+_binary64_2468` `flip-+_binary64_2439` `cbrt-div_binary64_2497` `pow-unpow_binary64_2542` `associate-/l*_binary64_2410` `frac-add_binary64_2473`
2×	`unpow3_binary64_2531` `cube-mult_binary64_2495` `div-exp_binary64_2516` `sqr-pow_binary64_2437` `associate-/r/_binary64_2411`
1×	`rem-cube-cbrt_binary64_2488` `+-commutative_binary64_2395` `flip--_binary64_2440` `sum-log_binary64_2556` `inv-pow_binary64_2550` `pow-flip_binary64_2539` `rec-exp_binary64_2515` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `pow-exp_binary64_2533` `pow-to-exp_binary64_2534` `pow1/3_binary64_2547` `pow-pow_binary64_2537` `frac-2neg_binary64_2476` `rem-cbrt-cube_binary64_2489` `flip3--_binary64_2469` `1-exp_binary64_2509`

Counts

4 → 141

Calls

4 calls:

35.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
34.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
34.0ms	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)
7.0ms	(/.f64 1 (-.f64 x 1))

series236.0ms (12.5%)

Counts

4 → 43

Calls

4 calls:

84.0ms	(pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3)
70.0ms	(cbrt.f64 (pow.f64 (+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x))) 3))
54.0ms	(+.f64 (/.f64 1 (-.f64 x 1)) (/.f64 x (+.f64 1 x)))
28.0ms	(/.f64 1 (-.f64 x 1))

Compiler

Compiled 690 to 638 computations (7.5% saved)

simplify79.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4964	3389
1	4964	3389

prune205.0ms (10.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	184	0	184
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	184	2	186

Error

Counts

186 → 2

Compiler

Compiled 3401 to 2649 computations (22.1% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

15.8b

(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_2465` `times-frac_binary64_2471` `add-cube-cbrt_binary64_2500` `add-sqr-sqrt_binary64_2487`
3×	`associate-/r_binary64_2409` `add-exp-log_binary64_2503` `add-cbrt-cube_binary64_2501` `associate-/l_binary64_2410`
2×	`flip3-+_binary64_2468` `associate-/l/_binary64_2412` `flip-+_binary64_2439` `associate-/r/_binary64_2411`
1×	`add-log-exp_binary64_2504` `clear-num_binary64_2464` `cbrt-undiv_binary64_2499` `div-exp_binary64_2516` `div-inv_binary64_2462` `pow1_binary64_2526` `frac-2neg_binary64_2476`

Counts

1 → 31

Calls

1 calls:

7.0ms

(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))

series51.0ms (2.7%)

Counts

1 → 10

Calls

1 calls:

51.0ms

(/.f64 (+.f64 1 (*.f64 x x)) (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 127 to 123 computations (3.1% saved)

simplify61.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5400	884

prune33.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	41	2	43

Error

Counts

43 → 2

Compiler

Compiled 732 to 412 computations (43.7% saved)

regimes39.0ms (2.1%)

Accuracy

Total 0.0b remaining (96.8%)

Threshold costs 0.0b (96.8%)

Compiler

Compiled 265 to 221 computations (16.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	21
1	23	21

end0.0ms (0%)

sample525.0ms (27.7%)

Algorithm

1×

intervals

Results

247.0ms

8000×

body

128

valid

Compiler

Compiled 129 to 108 computations (16.3% saved)

Details

analyze4.0ms (0.2%)

sample13.0ms (0.7%)

simplify109.0ms (5.7%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite54.0ms (2.9%)

series115.0ms (6%)

simplify89.0ms (4.7%)

prune124.0ms (6.5%)

localize9.0ms (0.5%)

rewrite123.0ms (6.5%)

series236.0ms (12.5%)

simplify79.0ms (4.2%)

prune205.0ms (10.8%)

localize5.0ms (0.3%)

rewrite10.0ms (0.5%)

series51.0ms (2.7%)

simplify61.0ms (3.2%)

prune33.0ms (1.8%)

regimes39.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample525.0ms (27.7%)

Profiling