Details

analyze100.0ms (9.1%)

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)

sample9.0ms (0.8%)

Algorithm

1×

intervals

Results

4.0ms

256×

body

128

valid

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify9.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	46	7
1	46	7

prune2.0ms (0.2%)

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 10 to 8 computations (20% saved)

localize3.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite9.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169`
18×	`times-frac_binary64_3153`
12×	`add-cube-cbrt_binary64_3182`
8×	`difference-of-squares_binary64_3116`
6×	`associate-/r*_binary64_3091`
4×	`distribute-lft-out--_binary64_3099`
3×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `associate-/l*_binary64_3092`
2×	`associate-/r/_binary64_3093`
1×	`flip--_binary64_3122` `clear-num_binary64_3146` `flip3--_binary64_3151` `frac-2neg_binary64_3158` `pow1_binary64_3208` `cbrt-undiv_binary64_3181` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `div-inv_binary64_3144`

Counts

1 → 41

Calls

1 calls:

6.0ms

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

series13.0ms (1.2%)

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify83.0ms (7.5%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4880	617
1	4880	617

prune33.0ms (3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Error

Counts

45 → 3

Compiler

Compiled 528 to 320 computations (39.4% saved)

localize6.0ms (0.6%)

Local error

Found 2 expressions with local error:

0.1b	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 1 x))
15.7b	(/.f64 x (-.f64 1 (*.f64 x x)))

rewrite24.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64_3169`
31×	`times-frac_binary64_3153` `*-un-lft-identity_binary64_3147`
22×	`add-cube-cbrt_binary64_3182`
21×	`associate-l_binary64_3088`
14×	`difference-of-squares_binary64_3116`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
5×	`associate-/r*_binary64_3091`
4×	`associate-r_binary64_3087` `pow1_binary64_3208` `associate-/r/_binary64_3093`
3×	`associate-/l*_binary64_3092`
2×	`frac-times_binary64_3157` `flip--_binary64_3122` `unswap-sqr_binary64_3115` `flip-+_binary64_3121` `flip3--_binary64_3151` `flip3-+_binary64_3150` `prod-exp_binary64_3196` `cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `associate-*r/_binary64_3089` `div-inv_binary64_3144`
1×	`-commutative_binary64_3078` `clear-num_binary64_3146` `pow-prod-down_binary64_3218` `associate-l/_binary64_3090` `frac-2neg_binary64_3158` `distribute-lft-out_binary64_3098` `distribute-lft-in_binary64_3096` `distribute-rgt-in_binary64_3097`

Counts

2 → 84

Calls

2 calls:

12.0ms	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 1 x))
5.0ms	(/.f64 x (-.f64 1 (*.f64 x x)))

series50.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

29.0ms	(/.f64 x (-.f64 1 (*.f64 x x)))
22.0ms	(.f64 (/.f64 x (-.f64 1 (.f64 x x))) (+.f64 1 x))

simplify63.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4910	1506
1	4910	1506

prune74.0ms (6.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	90	3	93

Error

Counts

93 → 3

Compiler

Compiled 1589 to 955 computations (39.9% saved)

localize5.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (sqrt.f64 x) (-.f64 1 x))
0.2b	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 x)))

rewrite42.0ms (3.8%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-sqr-sqrt_binary64_3169`
83×	`*-un-lft-identity_binary64_3147`
76×	`times-frac_binary64_3153`
47×	`sqrt-prod_binary64_3163`
44×	`add-cube-cbrt_binary64_3182`
42×	`associate-r_binary64_3087`
26×	`difference-of-squares_binary64_3116`
13×	`distribute-lft-out--_binary64_3099`
9×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183`
6×	`unswap-sqr_binary64_3115` `associate-/r_binary64_3091` `associate-/l_binary64_3092` `associate-l_binary64_3088`
4×	`pow1_binary64_3208` `associate-/r/_binary64_3093`
2×	`flip--_binary64_3122` `flip3--_binary64_3151` `prod-exp_binary64_3196` `cbrt-undiv_binary64_3181` `cbrt-unprod_binary64_3180` `div-exp_binary64_3198` `add-log-exp_binary64_3186` `div-inv_binary64_3144`
1×	`-commutative_binary64_3078` `clear-num_binary64_3146` `pow-prod-down_binary64_3218` `frac-2neg_binary64_3158` `associate-r/_binary64_3089`

Counts

2 → 130

Calls

2 calls:

19.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 x)))
10.0ms	(/.f64 (sqrt.f64 x) (-.f64 1 x))

series46.0ms (4.2%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(/.f64 (sqrt.f64 x) (-.f64 1 x))
21.0ms	(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 1 x)))

simplify70.0ms (6.4%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5006	2349

prune103.0ms (9.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	136	3	139

Error

Counts

139 → 3

Compiler

Compiled 2243 to 1137 computations (49.3% saved)

regimes24.0ms (2.1%)

Accuracy

Total 0.0b remaining (86.4%)

Threshold costs 0.0b (86.4%)

Compiler

Compiled 116 to 82 computations (29.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	7
1	15	7

end0.0ms (0%)

sample331.0ms (30.1%)

Algorithm

1×

intervals

Results

139.0ms

8000×

body

128

valid

Compiler

Compiled 63 to 46 computations (27% saved)

Details

analyze100.0ms (9.1%)

sample9.0ms (0.8%)

simplify9.0ms (0.8%)

prune2.0ms (0.2%)

localize3.0ms (0.3%)

rewrite9.0ms (0.8%)

series13.0ms (1.2%)

simplify83.0ms (7.5%)

prune33.0ms (3%)

localize6.0ms (0.6%)

rewrite24.0ms (2.2%)

series50.0ms (4.6%)

simplify63.0ms (5.7%)

prune74.0ms (6.7%)

localize5.0ms (0.5%)

rewrite42.0ms (3.8%)

series46.0ms (4.2%)

simplify70.0ms (6.4%)

prune103.0ms (9.4%)

regimes24.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample331.0ms (30.1%)

Profiling