Details

analyze151.0ms (13%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	20
1	21	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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (1%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify8.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	14	10
1	14	10

prune2.0ms (0.2%)

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 10 computations (28.6% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`*-un-lft-identity_binary64_18833`
48×	`times-frac_binary64_18839`
39×	`add-cube-cbrt_binary64_18868` `add-sqr-sqrt_binary64_18855`
28×	`distribute-lft-out_binary64_18784`
15×	`distribute-rgt-out_binary64_18786`
12×	`associate-/r*_binary64_18777`
5×	`distribute-lft1-in_binary64_18788` `distribute-rgt1-in_binary64_18789` `count-2_binary64_18781`
4×	`associate-/l*_binary64_18778`
3×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
2×	`flip3-+_binary64_18836` `flip-+_binary64_18807` `associate-/l/_binary64_18780` `associate-/r/_binary64_18779`
1×	`pow1_binary64_18894` `div-inv_binary64_18830` `add-log-exp_binary64_18872` `clear-num_binary64_18832` `frac-2neg_binary64_18844` `cbrt-undiv_binary64_18867` `div-exp_binary64_18884`

Counts

1 → 80

Calls

1 calls:

9.0ms

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

series23.0ms (2%)

Counts

1 → 3

Calls

1 calls:

23.0ms

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

simplify80.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5190	1417

prune55.0ms (4.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	3	84

Error

Counts

84 → 3

Compiler

Compiled 1145 to 322 computations (71.9% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 1/2 (*.f64 x (/.f64 1/2 y)))
0.2b	(*.f64 x (/.f64 1/2 y))

rewrite13.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_18855`
13×	`associate-r_binary64_18773`
10×	`*-un-lft-identity_binary64_18833` `add-cube-cbrt_binary64_18868` `times-frac_binary64_18839`
7×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
4×	`pow1_binary64_18894` `add-log-exp_binary64_18872`
3×	`associate-l_binary64_18774`
2×	`cbrt-unprod_binary64_18866` `prod-exp_binary64_18882` `unswap-sqr_binary64_18801`
1×	`+-commutative_binary64_18763` `pow-prod-down_binary64_18904` `-commutative_binary64_18764` `div-inv_binary64_18830` `associate-r/_binary64_18775` `sum-log_binary64_18924` `flip3-+_binary64_18836` `flip-+_binary64_18807` `cbrt-undiv_binary64_18867` `div-exp_binary64_18884`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 x (/.f64 1/2 y))
3.0ms	(+.f64 1/2 (*.f64 x (/.f64 1/2 y)))

series31.0ms (2.7%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 1/2 (*.f64 x (/.f64 1/2 y)))
15.0ms	(*.f64 x (/.f64 1/2 y))

simplify73.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5027	544

prune37.0ms (3.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	49	0	49
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	49	3	52

Error

Counts

52 → 3

Compiler

Compiled 583 to 413 computations (29.2% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (+.f64 x y) (/.f64 1/2 y))

rewrite13.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_18855`
13×	`associate-r_binary64_18773`
11×	`*-un-lft-identity_binary64_18833`
10×	`times-frac_binary64_18839`
9×	`add-cube-cbrt_binary64_18868`
6×	`add-cbrt-cube_binary64_18869` `add-exp-log_binary64_18871`
4×	`associate-l_binary64_18774`
3×	`pow1_binary64_18894`
2×	`cbrt-unprod_binary64_18866` `flip3-+_binary64_18836` `prod-exp_binary64_18882` `associate-*l/_binary64_18776` `flip-+_binary64_18807` `unswap-sqr_binary64_18801` `frac-times_binary64_18843`
1×	`pow-prod-down_binary64_18904` `-commutative_binary64_18764` `div-inv_binary64_18830` `associate-r/_binary64_18775` `add-log-exp_binary64_18872` `distribute-lft-out_binary64_18784` `cbrt-undiv_binary64_18867` `div-exp_binary64_18884`

Counts

1 → 37

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x y) (/.f64 1/2 y))

series22.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

22.0ms

(*.f64 (+.f64 x y) (/.f64 1/2 y))

simplify67.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4986	549
1	4986	549

prune29.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	40	3	43

Error

Counts

43 → 3

Compiler

Compiled 509 to 269 computations (47.2% saved)

regimes44.0ms (3.8%)

Accuracy

Total 0.0b remaining (96.2%)

Threshold costs 0.0b (96.2%)

Compiler

Compiled 324 to 195 computations (39.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample473.0ms (40.6%)

Algorithm

1×

intervals

Results

179.0ms	8000×	body	128	valid
5.0ms	219×	body	128	invalid

Compiler

Compiled 124 to 79 computations (36.3% saved)

Details

analyze151.0ms (13%)

sample12.0ms (1%)

simplify8.0ms (0.7%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite15.0ms (1.3%)

series23.0ms (2%)

simplify80.0ms (6.9%)

prune55.0ms (4.7%)

localize5.0ms (0.4%)

rewrite13.0ms (1.1%)

series31.0ms (2.7%)

simplify73.0ms (6.3%)

prune37.0ms (3.2%)

localize5.0ms (0.4%)

rewrite13.0ms (1.1%)

series22.0ms (1.9%)

simplify67.0ms (5.7%)

prune29.0ms (2.5%)

regimes44.0ms (3.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample473.0ms (40.6%)

Profiling