Details

analyze23.0ms (0.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample56.0ms (2.1%)

Algorithm

1×

intervals

Results

29.0ms	88×	body	1024	valid
7.0ms	42×	body	512	valid
7.0ms	15×	body	2048	valid
3.0ms	88×	body	128	valid
2.0ms	23×	body	256	valid

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64` `+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	8	6
2	7	6

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

41.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	41.0b	(log.f64 (+.f64 1 x))

Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.1b	(log.f64 (+.f64 1 x))

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

41.0b

Rules

4×	`log-prod_binary64` `*-un-lft-identity_binary64`
2×	`pow1_binary64` `log-div_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `add-exp-log_binary64`
1×	`log-pow_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 140 to 113 computations (19.3% saved)

series22.0ms (0.8%)

Error

Counts

1 → 7

Calls

1 calls:

15.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 181 to 145 computations (19.9% saved)

simplify93.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

638×	`div-sub_binary64`
379×	`sub-neg_binary64`
263×	`cancel-sign-sub-inv_binary64`
257×	`distribute-neg-frac_binary64`
256×	`neg-mul-1_binary64`

Counts

22 → 18

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	247
1	116	217
2	221	214
3	509	214
4	1248	214
5	3419	214
6	4414	214
7	4850	214
8	5343	214

prune14.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	16	2	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	16	3	19

Error

Counts

19 → 3

Alt Table

Status	Error	Program
✓	41.0b	(log.f64 (+.f64 1 x))
▶	19.5b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
	19.8b	(-.f64 x (.f64 1/2 (.f64 x x)))

Compiler

Compiled 191 to 139 computations (27.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite68.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `-un-lft-identity_binary64` `associate-l_binary64` `associate-r*_binary64`
4×	`associate-*r/_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `*-commutative_binary64`
2×	`distribute-rgt-in_binary64` `distribute-lft-in_binary64` `flip3-+_binary64` `flip-+_binary64`

Counts

3 → 62

Calls

3 calls:

5.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
5.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)

Compiler

Compiled 1079 to 799 computations (25.9% saved)

series34.0ms (1.3%)

Error

Counts

3 → 14

Calls

3 calls:

12.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
10.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
6.0ms	(*.f64 x 1/3)

Compiler

Compiled 325 to 251 computations (22.8% saved)

simplify93.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

607×	`distribute-rgt-in_binary64`
591×	`distribute-lft-in_binary64`
283×	`neg-mul-1_binary64`
262×	`*-commutative_binary64`
171×	`exp-prod_binary64`

Counts

76 → 58

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1010
1	295	919
2	959	918
3	3000	916
4	4656	916
5	5098	916

prune38.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	58	3	61

Error

Counts

61 → 3

Alt Table

Status	Error	Program
✓	41.0b	(log.f64 (+.f64 1 x))
✓	19.5b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
▶	19.8b	(-.f64 x (.f64 1/2 (.f64 x x)))

Compiler

Compiled 824 to 586 computations (28.9% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 x (.f64 1/2 (.f64 x x)))
0.0b	(.f64 1/2 (.f64 x x))

rewrite28.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
3×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64` `-un-lft-identity_binary64` `associate-l*_binary64`
1×	`unswap-sqr_binary64` `associate-r_binary64` `*-commutative_binary64` `diff-log_binary64` `flip3--_binary64` `sub-neg_binary64` `flip--_binary64` `cancel-sign-sub-inv_binary64`

Counts

2 → 31

Calls

2 calls:

5.0ms	(.f64 1/2 (.f64 x x))
3.0ms	(-.f64 x (.f64 1/2 (.f64 x x)))

Compiler

Compiled 392 to 214 computations (45.4% saved)

series20.0ms (0.8%)

Error

Counts

2 → 9

Calls

2 calls:

11.0ms	(-.f64 x (.f64 1/2 (.f64 x x)))
7.0ms	(.f64 1/2 (.f64 x x))

Compiler

Compiled 124 to 93 computations (25% saved)

simplify110.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

446×	`cancel-sign-sub-inv_binary64`
395×	`unsub-neg_binary64`
367×	`distribute-rgt-in_binary64`
319×	`distribute-rgt-neg-in_binary64`
313×	`distribute-lft-neg-in_binary64`

Counts

40 → 23

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	62	447
1	133	408
2	366	404
3	1337	404
4	3560	404
5	4566	404
6	4973	404
7	4768	404

prune14.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	23	0	23
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	23	3	26

Error

Counts

26 → 3

Alt Table

Status	Error	Program
	41.0b	(log.f64 (+.f64 1 x))
	19.5b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
	19.8b	(-.f64 x (.f64 1/2 (.f64 x x)))

Compiler

Compiled 165 to 106 computations (35.8% saved)

regimes53.0ms (2%)

Accuracy

Total 0.1b remaining (68.6%)

Threshold costs 0.1b (68.6%)

Compiler

Compiled 286 to 217 computations (24.1% saved)

bsearch1.0ms (0%)

Compiler: Compiled 4 to 3 computations (25% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

5×	`+-commutative_binary64`
4×	`*-commutative_binary64`
3×	`sub-neg_binary64`
2×	`neg-mul-1_binary64` `neg-sub0_binary64` `cancel-sign-sub-inv_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	31	34
2	38	34
3	42	34
4	45	34
5	46	34
6	44	34

end1.0ms (0%)

Compiler: Compiled 24 to 19 computations (20.8% saved)

sample1.9s (72.7%)

Algorithm

1×

intervals

Results

915.0ms	2694×	body	1024	valid
250.0ms	3040×	body	128	valid
233.0ms	1347×	body	512	valid
111.0ms	252×	body	2048	valid
63.0ms	667×	body	256	valid

Compiler

Compiled 56 to 43 computations (23.2% saved)

Details

analyze23.0ms (0.9%)

sample56.0ms (2.1%)

simplify8.0ms (0.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite16.0ms (0.6%)

series22.0ms (0.8%)

simplify93.0ms (3.6%)

prune14.0ms (0.5%)

localize7.0ms (0.3%)

rewrite68.0ms (2.6%)

series34.0ms (1.3%)

simplify93.0ms (3.6%)

prune38.0ms (1.4%)

localize4.0ms (0.2%)

rewrite28.0ms (1.1%)

series20.0ms (0.8%)

simplify110.0ms (4.2%)

prune14.0ms (0.5%)

regimes53.0ms (2%)

bsearch1.0ms (0%)

simplify4.0ms (0.2%)

end1.0ms (0%)

sample1.9s (72.7%)

Profiling