Details

analyze12.0ms (0.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample217.0ms (7.8%)

Algorithm

1×

intervals

Results

208.0ms

256×

body

128

valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify129.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	466	17
1	466	17

prune4.0ms (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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite37.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
55×	`add-sqr-sqrt_binary64`
49×	`times-frac_binary64`
30×	`sqrt-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
6×	`associate-/l*_binary64`
4×	`associate-/r*_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `add-log-exp_binary64` `rem-sqrt-square_binary64` `div-inv_binary64` `flip-+_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `sqrt-pow1_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `flip--_binary64` `sqrt-div_binary64`

Counts

2 → 93

Calls

2 calls:

11.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
10.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

series52.0ms (1.9%)

Counts

2 → 14

Calls

2 calls:

32.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))
19.0ms	(sqrt.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))

Compiler

Compiled 194 to 192 computations (1% saved)

simplify74.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	6405	1874

prune116.0ms (4.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	105	2	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	2	108

Error

Counts

108 → 2

Compiler

Compiled 1865 to 1501 computations (19.5% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
0.0b	(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
0.0b	(sqrt.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
0.0b	(/.f64 (-.f64 1 x) (+.f64 1 x))

rewrite61.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

152×	`*-un-lft-identity_binary64`
103×	`add-sqr-sqrt_binary64`
96×	`times-frac_binary64`
90×	`exp-prod_binary64`
62×	`log-pow_binary64`
51×	`add-cube-cbrt_binary64`
34×	`difference-of-squares_binary64` `sqrt-prod_binary64`
25×	`distribute-lft-out_binary64`
17×	`distribute-lft-out--_binary64`
8×	`associate-/r/_binary64`
7×	`pow1_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`flip3-+_binary64` `associate-/r*_binary64` `div-inv_binary64` `flip-+_binary64`
3×	`log-prod_binary64` `div-sub_binary64`
2×	`associate-/l/_binary64` `exp-diff_binary64`
1×	`pow1/2_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `log-div_binary64` `flip--_binary64`

Counts

4 → 177

Calls

4 calls:

13.0ms	(sqrt.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
11.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
10.0ms	(exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
9.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

series148.0ms (5.3%)

Counts

4 → 32

Calls

4 calls:

53.0ms	(exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))
35.0ms	(log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x))))
31.0ms	(sqrt.f64 (log.f64 (exp.f64 (/.f64 (-.f64 1 x) (+.f64 1 x)))))
29.0ms	(/.f64 (-.f64 1 x) (+.f64 1 x))

Compiler

Compiled 580 to 564 computations (2.8% saved)

simplify88.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5614	3233

prune248.0ms (8.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	209	2	211

Error

Counts

211 → 2

Compiler

Compiled 3929 to 3198 computations (18.6% saved)

localize8.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite81.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Rules

378×	`times-frac_binary64`
353×	`*-un-lft-identity_binary64`
262×	`add-sqr-sqrt_binary64`
154×	`add-cube-cbrt_binary64`
95×	`sqrt-prod_binary64`
66×	`difference-of-squares_binary64`
49×	`distribute-lft-out_binary64`
36×	`associate-/r*_binary64`
33×	`distribute-lft-out--_binary64`
18×	`associate-/r/_binary64`
16×	`add-exp-log_binary64`
10×	`add-cbrt-cube_binary64` `div-inv_binary64`
8×	`flip3--_binary64` `div-exp_binary64` `flip--_binary64`
7×	`associate-/l*_binary64`
6×	`pow1_binary64`
5×	`rem-sqrt-square_binary64`
4×	`cbrt-undiv_binary64`
3×	`add-log-exp_binary64` `sqrt-pow1_binary64`
2×	`associate-/l/_binary64` `1-exp_binary64` `clear-num_binary64` `inv-pow_binary64` `frac-2neg_binary64` `rec-exp_binary64` `pow-flip_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `flip-+_binary64` `sqrt-div_binary64`

Counts

3 → 306

Calls

3 calls:

18.0ms	(sqrt.f64 (/.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))))
13.0ms	(/.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
8.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))

series79.0ms (2.8%)

Counts

3 → 26

Calls

3 calls:

33.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
23.0ms	(/.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x)))
23.0ms	(sqrt.f64 (/.f64 1 (/.f64 (+.f64 1 x) (-.f64 1 x))))

Compiler

Compiled 398 to 390 computations (2% saved)

simplify131.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

332 → 332

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5362	7233

prune506.0ms (18.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	332	0	332
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	332	2	334

Error

Counts

334 → 2

Compiler

Compiled 6822 to 5606 computations (17.8% saved)

regimes96.0ms (3.4%)

Accuracy

Total 0.0b remaining (72.6%)

Threshold costs 0.0b (72.6%)

Compiler

Compiled 623 to 592 computations (5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	21
1	24	21

end0.0ms (0%)

sample681.0ms (24.4%)

Algorithm

1×

intervals

Results

384.0ms

8000×

body

128

valid

Compiler

Compiled 112 to 107 computations (4.5% saved)

Details

analyze12.0ms (0.4%)

sample217.0ms (7.8%)

simplify129.0ms (4.6%)

prune4.0ms (0.1%)

localize9.0ms (0.3%)

rewrite37.0ms (1.3%)

series52.0ms (1.9%)

simplify74.0ms (2.7%)

prune116.0ms (4.1%)

localize13.0ms (0.4%)

rewrite61.0ms (2.2%)

series148.0ms (5.3%)

simplify88.0ms (3.2%)

prune248.0ms (8.9%)

localize8.0ms (0.3%)

rewrite81.0ms (2.9%)

series79.0ms (2.8%)

simplify131.0ms (4.7%)

prune506.0ms (18.1%)

regimes96.0ms (3.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample681.0ms (24.4%)

Profiling