Details

analyze100.0ms (6.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	7
1	46	7
0	1	1
1	1	1

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	50%	0%	3
87.5%	12.5%	0%	4
93.7%	6.2%	0%	5
96.8%	3.1%	0%	6
98.4%	1.6%	0%	7
99.2%	0.8%	0%	8
99.6%	0.4%	0%	9
99.8%	0.2%	0%	10
99.9%	0.1%	0%	11
99.9%	0%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify9.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	46	7
1	46	7

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 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite39.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
18×	`times-frac_binary64_4176`
12×	`add-cube-cbrt_binary64_4205`
8×	`difference-of-squares_binary64_4139`
6×	`associate-/r*_binary64_4114`
4×	`distribute-lft-out--_binary64_4122`
3×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `associate-/l*_binary64_4115`
2×	`associate-/r/_binary64_4116`
1×	`pow1_binary64_4231` `div-exp_binary64_4221` `add-log-exp_binary64_4209` `cbrt-undiv_binary64_4204` `frac-2neg_binary64_4181` `clear-num_binary64_4169` `div-inv_binary64_4167` `flip3--_binary64_4174` `flip--_binary64_4145`

Counts

1 → 41

Calls

1 calls:

6.0ms

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

Compiler

Compiled 526 to 328 computations (37.6% saved)

series44.0ms (2.6%)

Error

Counts

1 → 12

Calls

1 calls:

34.0ms

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

Compiler

Compiled 204 to 173 computations (15.2% saved)

simplify109.0ms (6.6%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4849	704
1	4849	704

prune38.0ms (2.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	3	54

Error

Counts

54 → 3

Compiler

Compiled 582 to 359 computations (38.3% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (-.f64 1 x))
0.0b	(pow.f64 (/.f64 x (-.f64 1 x)) 3)
20.1b	(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))

rewrite225.0ms (13.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

104×	`add-sqr-sqrt_binary64_4192` `*-un-lft-identity_binary64_4170`
90×	`times-frac_binary64_4176`
56×	`add-cube-cbrt_binary64_4205`
54×	`cbrt-prod_binary64_4201`
48×	`unpow-prod-down_binary64_4249` `cube-prod_binary64_4198`
32×	`difference-of-squares_binary64_4139`
16×	`distribute-lft-out--_binary64_4122`
10×	`associate-/r/_binary64_4116`
8×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
6×	`associate-/r*_binary64_4114`
5×	`div-inv_binary64_4167` `flip3--_binary64_4174` `flip--_binary64_4145`
4×	`pow1_binary64_4231`
3×	`add-log-exp_binary64_4209` `pow-unpow_binary64_4247` `associate-/l*_binary64_4115`
2×	`cube-div_binary64_4199` `unpow3_binary64_4236` `cube-mult_binary64_4200` `sqr-pow_binary64_4142` `div-exp_binary64_4221` `pow-exp_binary64_4238` `rem-cube-cbrt_binary64_4193` `cbrt-undiv_binary64_4204`
1×	`pow1/3_binary64_4252` `cbrt-div_binary64_4202` `rem-cbrt-cube_binary64_4194` `pow-pow_binary64_4242` `pow-to-exp_binary64_4239` `frac-2neg_binary64_4181` `clear-num_binary64_4169`

Counts

3 → 173

Calls

3 calls:

11.0ms	(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
9.0ms	(pow.f64 (/.f64 x (-.f64 1 x)) 3)
6.0ms	(/.f64 x (-.f64 1 x))

Compiler

Compiled 3140 to 2245 computations (28.5% saved)

series136.0ms (8.2%)

Error

Counts

3 → 36

Calls

3 calls:

43.0ms	(pow.f64 (/.f64 x (-.f64 1 x)) 3)
35.0ms	(cbrt.f64 (pow.f64 (/.f64 x (-.f64 1 x)) 3))
32.0ms	(/.f64 x (-.f64 1 x))

Compiler

Compiled 810 to 715 computations (11.7% saved)

simplify95.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

209 → 209

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4984	3254
1	4984	3254

prune169.0ms (10.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	209	0	209
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	209	3	212

Error

Counts

212 → 3

Compiler

Compiled 2761 to 1876 computations (32.1% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (*.f64 x x))

rewrite10.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_4209`
2×	`*-un-lft-identity_binary64_4170`
1×	`sum-log_binary64_4261` `pow1_binary64_4231` `add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206` `add-cube-cbrt_binary64_4205` `add-sqr-sqrt_binary64_4192` `flip3-+_binary64_4173` `flip-+_binary64_4144` `distribute-rgt1-in_binary64_4126` `distribute-rgt-out_binary64_4123` `+-commutative_binary64_4100`

Counts

1 → 13

Calls

1 calls:

3.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 146 to 43 computations (70.5% saved)

series39.0ms (2.3%)

Error

Counts

1 → 6

Calls

1 calls:

36.0ms

(+.f64 x (*.f64 x x))

Compiler

Compiled 59 to 45 computations (23.7% saved)

simplify80.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5054	165

prune9.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	19	3	22

Error

Counts

22 → 3

Compiler

Compiled 145 to 43 computations (70.3% saved)

regimes35.0ms (2.1%)

Accuracy

Total 0.0b remaining (90.3%)

Threshold costs 0.0b (90.3%)

Compiler

Compiled 202 to 164 computations (18.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms (0%)

sample494.0ms (29.8%)

Algorithm

1×

intervals

Results

154.0ms

8000×

body

128

valid

Compiler

Compiled 106 to 87 computations (17.9% saved)

Details

analyze100.0ms (6.1%)

sample11.0ms (0.7%)

simplify9.0ms (0.5%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite39.0ms (2.4%)

series44.0ms (2.6%)

simplify109.0ms (6.6%)

prune38.0ms (2.3%)

localize6.0ms (0.4%)

rewrite225.0ms (13.6%)

series136.0ms (8.2%)

simplify95.0ms (5.7%)

prune169.0ms (10.2%)

localize3.0ms (0.2%)

rewrite10.0ms (0.6%)

series39.0ms (2.3%)

simplify80.0ms (4.8%)

prune9.0ms (0.5%)

regimes35.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample494.0ms (29.8%)

Profiling