Details

analyze390.0ms (17.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7544	20
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
12.5%	25%	62.5%	4
18.7%	12.5%	68.8%	5
21.9%	6.2%	71.9%	6
23.4%	3.1%	73.5%	7
24.2%	1.6%	74.2%	8
24.6%	0.8%	74.6%	9
24.8%	0.4%	74.8%	10
24.9%	0.2%	74.9%	11
24.9%	0.1%	75%	12
25%	0%	75%	13
25%	0%	75%	14

Compiler

Compiled 14 to 11 computations (21.4% saved)

sample21.0ms (0.9%)

Algorithm

1×

intervals

Results

13.0ms

256×

body

128

valid

Compiler

Compiled 27 to 22 computations (18.5% saved)

simplify298.0ms (13.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (292.0ms)

Iter	Nodes	Cost
0	7544	20

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 26 to 20 computations (23.1% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite130.0ms (5.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

44×	`*-un-lft-identity_binary64_2124`
26×	`times-frac_binary64_2130`
21×	`add-sqr-sqrt_binary64_2146`
16×	`distribute-lft-out_binary64_2075`
15×	`log-prod_binary64_2210`
13×	`add-cube-cbrt_binary64_2159`
12×	`div-inv_binary64_2121`
11×	`sqrt-prod_binary64_2140`
6×	`distribute-rgt-out_binary64_2077`
5×	`add-log-exp_binary64_2163` `pow1_binary64_2185`
4×	`add-exp-log_binary64_2162`
3×	`add-cbrt-cube_binary64_2160` `log-div_binary64_2211`
2×	`frac-add_binary64_2132` `flip3-+_binary64_2127` `flip-+_binary64_2098` `distribute-rgt1-in_binary64_2080` `sqrt-div_binary64_2141` `difference-of-squares_binary64_2093`
1×	`sum-log_binary64_2215` `+-commutative_binary64_2054` `log-pow_binary64_2213` `rem-log-exp_binary64_2165` `pow1/2_binary64_2204` `sqrt-pow1_binary64_2142` `flip3--_binary64_2128` `flip--_binary64_2099` `rem-sqrt-square_binary64_2137`

Counts

3 → 68

Calls

3 calls:

25.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
22.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
3.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 1496 to 966 computations (35.4% saved)

series125.0ms (5.7%)

Error

Counts

3 → 18

Calls

3 calls:

47.0ms	(log.f64 (+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x)))
36.0ms	(+.f64 (/.f64 1 x) (/.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) x))
26.0ms	(sqrt.f64 (-.f64 1 (*.f64 x x)))

Compiler

Compiled 506 to 436 computations (13.8% saved)

simplify75.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4974	1677
1	4974	1677

prune82.0ms (3.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	2	87

Error

Counts

87 → 2

Compiler

Compiled 1508 to 992 computations (34.2% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(-.f64 (log.f64 2) (log.f64 x))

rewrite27.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

8×	`*-un-lft-identity_binary64_2124`
6×	`pow1_binary64_2185` `add-sqr-sqrt_binary64_2146` `log-prod_binary64_2210`
5×	`log-pow_binary64_2213`
4×	`add-cube-cbrt_binary64_2159` `cancel-sign-sub-inv_binary64_2090` `distribute-lft-out--_binary64_2076`
3×	`associate--l+_binary64_2061` `associate--r+_binary64_2060`
1×	`diff-log_binary64_2216` `add-log-exp_binary64_2163` `add-exp-log_binary64_2162` `add-cbrt-cube_binary64_2160` `flip3--_binary64_2128` `sub-neg_binary64_2117` `flip--_binary64_2099` `difference-of-squares_binary64_2093`

Counts

1 → 26

Calls

1 calls:

6.0ms

(-.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 280 to 192 computations (31.4% saved)

series92.0ms (4.2%)

Error

Counts

1 → 3

Calls

1 calls:

90.0ms

(-.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 66 to 64 computations (3% saved)

simplify77.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4863	308
1	4863	308

prune19.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	29	2	31

Error

Counts

31 → 2

Compiler

Compiled 260 to 181 computations (30.4% saved)

regimes58.0ms (2.6%)

Accuracy

Total 0.0b remaining (95.3%)

Threshold costs 0.0b (95.3%)

Compiler

Compiled 472 to 358 computations (24.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	20
1	29	20

end0.0ms (0%)

sample794.0ms (36%)

Algorithm

1×

intervals

Results

433.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 167 to 128 computations (23.4% saved)

Details

analyze390.0ms (17.7%)

sample21.0ms (0.9%)

simplify298.0ms (13.5%)

prune2.0ms (0.1%)

localize9.0ms (0.4%)

rewrite130.0ms (5.9%)

series125.0ms (5.7%)

simplify75.0ms (3.4%)

prune82.0ms (3.7%)

localize5.0ms (0.2%)

rewrite27.0ms (1.2%)

series92.0ms (4.2%)

simplify77.0ms (3.5%)

prune19.0ms (0.9%)

regimes58.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample794.0ms (36%)

Profiling