Details

analyze130.0ms (6.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	13	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
43.7%	56.2%	0.1%	5
46.8%	53.1%	0.1%	6
78%	21.9%	0.1%	7
82.7%	17.2%	0.1%	8
89%	10.9%	0.1%	9
91.3%	8.6%	0.1%	10
94.4%	5.5%	0.1%	11
95.6%	4.3%	0.1%	12
97.2%	2.7%	0.1%	13
97.8%	2.1%	0.1%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms

256×

body

128

valid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

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 14 to 12 computations (14.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite44.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`*-un-lft-identity_binary64_6898`
16×	`times-frac_binary64_6904`
11×	`add-cube-cbrt_binary64_6933` `add-sqr-sqrt_binary64_6920`
10×	`distribute-lft-out_binary64_6849`
4×	`associate-/l_binary64_6843` `associate-/r_binary64_6842`
3×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
2×	`flip3-+_binary64_6901` `associate-/l/_binary64_6845` `flip-+_binary64_6872` `associate-/r/_binary64_6844`
1×	`pow1_binary64_6959` `div-exp_binary64_6949` `add-log-exp_binary64_6937` `cbrt-undiv_binary64_6932` `frac-2neg_binary64_6909` `clear-num_binary64_6897` `div-inv_binary64_6895`

Counts

1 → 40

Calls

1 calls:

8.0ms

(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 618 to 329 computations (46.8% saved)

series96.0ms (4.6%)

Error

Counts

1 → 18

Calls

1 calls:

79.0ms

(/.f64 (+.f64 x y) (+.f64 y 1))

Compiler

Compiled 489 to 360 computations (26.4% saved)

simplify74.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4948	978
1	4948	978

prune45.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Error

Counts

59 → 3

Compiler

Compiled 796 to 417 computations (47.6% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite121.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

63×	`*-un-lft-identity_binary64_6898`
36×	`times-frac_binary64_6904`
23×	`add-cube-cbrt_binary64_6933` `add-sqr-sqrt_binary64_6920`
19×	`distribute-lft-out_binary64_6849`
8×	`associate-/r/_binary64_6844` `associate-/r*_binary64_6842`
7×	`add-exp-log_binary64_6936` `add-cbrt-cube_binary64_6934`
6×	`associate-/l*_binary64_6843`
5×	`add-log-exp_binary64_6937` `flip3-+_binary64_6901` `flip-+_binary64_6872`
4×	`div-inv_binary64_6895`
3×	`pow1_binary64_6959` `distribute-rgt-out_binary64_6851`
2×	`div-exp_binary64_6949` `cbrt-undiv_binary64_6932` `frac-2neg_binary64_6909` `clear-num_binary64_6897`
1×	`sum-log_binary64_6989` `frac-add_binary64_6906` `+-commutative_binary64_6828`

Counts

3 → 88

Calls

3 calls:

24.0ms	(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
5.0ms	(/.f64 y (+.f64 y 1))
5.0ms	(/.f64 x (+.f64 y 1))

Compiler

Compiled 1666 to 1113 computations (33.2% saved)

series239.0ms (11.5%)

Error

Counts

3 → 45

Calls

3 calls:

115.0ms	(+.f64 (/.f64 y (+.f64 y 1)) (/.f64 x (+.f64 y 1)))
60.0ms	(/.f64 x (+.f64 y 1))
31.0ms	(/.f64 y (+.f64 y 1))

Compiler

Compiled 1328 to 960 computations (27.7% saved)

simplify78.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4960	1950
1	4960	1950

prune106.0ms (5.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	133	3	136

Error

Counts

136 → 3

Compiler

Compiled 2155 to 1338 computations (37.9% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 y 1))
0.1b	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))

rewrite99.0ms (4.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

37×	`*-un-lft-identity_binary64_6898`
27×	`add-sqr-sqrt_binary64_6920`
26×	`times-frac_binary64_6904`
20×	`add-cube-cbrt_binary64_6933`
18×	`associate-r_binary64_6838`
15×	`add-exp-log_binary64_6936`
9×	`add-cbrt-cube_binary64_6934`
8×	`distribute-lft-out_binary64_6849`
5×	`pow1_binary64_6959`
4×	`div-exp_binary64_6949` `prod-exp_binary64_6947` `flip3-+_binary64_6901` `flip-+_binary64_6872` `associate-l_binary64_6839` `associate-/r/_binary64_6844` `associate-/r*_binary64_6842`
3×	`unswap-sqr_binary64_6866` `associate-/l*_binary64_6843`
2×	`1-exp_binary64_6942` `rec-exp_binary64_6948` `add-log-exp_binary64_6937` `cbrt-unprod_binary64_6931` `cbrt-undiv_binary64_6932` `frac-times_binary64_6908` `associate-*l/_binary64_6841` `div-inv_binary64_6895`
1×	`pow-prod-down_binary64_6969` `un-div-inv_binary64_6896` `associate-r/_binary64_6840` `-commutative_binary64_6829` `inv-pow_binary64_6983` `pow-flip_binary64_6972` `frac-2neg_binary64_6909` `clear-num_binary64_6897`

Counts

2 → 83

Calls

2 calls:

15.0ms	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))
6.0ms	(/.f64 1 (+.f64 y 1))

Compiler

Compiled 1387 to 915 computations (34% saved)

series129.0ms (6.2%)

Error

Counts

2 → 30

Calls

2 calls:

84.0ms	(*.f64 (+.f64 x y) (/.f64 1 (+.f64 y 1)))
24.0ms	(/.f64 1 (+.f64 y 1))

Compiler

Compiled 821 to 604 computations (26.4% saved)

simplify77.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4960	1508
1	4960	1508

prune84.0ms (4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Error

Counts

116 → 3

Compiler

Compiled 1531 to 920 computations (39.9% saved)

regimes89.0ms (4.3%)

Accuracy

Total 0.0b remaining (82.8%)

Threshold costs 0.0b (82.8%)

Compiler

Compiled 619 to 494 computations (20.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	16
1	11	16

end0.0ms (0%)

sample624.0ms (30.1%)

Algorithm

1×

intervals

Results

187.0ms

8000×

body

128

valid

Compiler

Compiled 212 to 169 computations (20.3% saved)

Details

analyze130.0ms (6.3%)

sample14.0ms (0.7%)

simplify7.0ms (0.3%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite44.0ms (2.1%)

series96.0ms (4.6%)

simplify74.0ms (3.6%)

prune45.0ms (2.2%)

localize6.0ms (0.3%)

rewrite121.0ms (5.8%)

series239.0ms (11.5%)

simplify78.0ms (3.7%)

prune106.0ms (5.1%)

localize6.0ms (0.3%)

rewrite99.0ms (4.7%)

series129.0ms (6.2%)

simplify77.0ms (3.7%)

prune84.0ms (4%)

regimes89.0ms (4.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample624.0ms (30.1%)

Profiling