Details

analyze2.0ms

Algorithm

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

sample64.0ms

Algorithm

intervals

Results

36.0ms	73×	body	1280	valid
16.0ms	71×	body	640	valid
3.0ms	24×	body	320	valid
2.0ms	75×	body	80	valid
1.0ms	13×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	4
1	5	4

prune2.0ms

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

Merged error: 42.8b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

3.5b	(log.f64 (+.f64 1.0 x))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 15

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1.0 x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(log.f64 (+.f64 1.0 x))

simplify63.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4934	144
1	4934	144

prune29.0ms

Filtered

13 candidates to 18 candidates (-38.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	4	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Merged error: 0.1b

Counts

19 → 5

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(.f64 1/2 (/.f64 (.f64 x x) (*.f64 1.0 1.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`cbrt-unprod_binary64` `prod-exp_binary64`
6×	`add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64`
2×	`unswap-sqr_binary64` `times-frac_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `associate-r/_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

9.0ms

(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))

series4.0ms

Counts

1 → 3

Calls

1 calls:

4.0ms

(*.f64 1/2 (/.f64 (*.f64 x x) (*.f64 1.0 1.0)))

simplify41.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5225	276

prune30.0ms

Filtered

18 candidates to 33 candidates (-83.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	33	5	38

Merged error: 0.1b

Counts

38 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.2b	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1.0 x)) 3))
0.2b	(pow.f64 (log.f64 (+.f64 1.0 x)) 3)
3.5b	(log.f64 (+.f64 1.0 x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`unpow-prod-down_binary64` `cube-prod_binary64`
5×	`log-pow_binary64` `add-exp-log_binary64`
4×	`log-prod_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64`
2×	`sqr-pow_binary64` `log-div_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `flip3-+_binary64` `rem-cbrt-cube_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `pow1/3_binary64` `pow-pow_binary64` `rem-cube-cbrt_binary64` `flip-+_binary64` `pow-exp_binary64`

Counts

3 → 63

Calls

3 calls:

2.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1.0 x)) 3))
3.0ms	(pow.f64 (log.f64 (+.f64 1.0 x)) 3)
3.0ms	(log.f64 (+.f64 1.0 x))

series20.0ms

Counts

3 → 9

Calls

3 calls:

3.0ms	(cbrt.f64 (pow.f64 (log.f64 (+.f64 1.0 x)) 3))
13.0ms	(pow.f64 (log.f64 (+.f64 1.0 x)) 3)
3.0ms	(log.f64 (+.f64 1.0 x))

simplify45.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4995	726
1	4995	726

prune55.0ms

Filtered

39 candidates to 72 candidates (-84.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	1	72
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	72	5	77

Merged error: 0.1b

Counts

77 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1.0 x)) (sqrt.f64 3)) (sqrt.f64 3)))
0.8b	(pow.f64 (log.f64 (+.f64 1.0 x)) (sqrt.f64 3))
1.1b	(pow.f64 (pow.f64 (log.f64 (+.f64 1.0 x)) (sqrt.f64 3)) (sqrt.f64 3))
3.5b	(log.f64 (+.f64 1.0 x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

28×	`unpow-prod-down_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`pow-unpow_binary64` `cbrt-prod_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64`
6×	`sqrt-prod_binary64`
5×	`sqr-pow_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64` `log-prod_binary64` `log-pow_binary64` `add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64`
2×	`pow-pow_binary64` `log-div_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `pow1/3_binary64` `flip-+_binary64`

Counts

4 → 83

Calls

4 calls:

4.0ms	(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1.0 x)) (sqrt.f64 3)) (sqrt.f64 3)))
3.0ms	(pow.f64 (log.f64 (+.f64 1.0 x)) (sqrt.f64 3))
4.0ms	(pow.f64 (pow.f64 (log.f64 (+.f64 1.0 x)) (sqrt.f64 3)) (sqrt.f64 3))
4.0ms	(log.f64 (+.f64 1.0 x))

series109.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(cbrt.f64 (pow.f64 (pow.f64 (log.f64 (+.f64 1.0 x)) (sqrt.f64 3)) (sqrt.f64 3)))
20.0ms	(pow.f64 (log.f64 (+.f64 1.0 x)) (sqrt.f64 3))
34.0ms	(pow.f64 (pow.f64 (log.f64 (+.f64 1.0 x)) (sqrt.f64 3)) (sqrt.f64 3))
3.0ms	(log.f64 (+.f64 1.0 x))

simplify77.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4883	1825
1	4883	1825

prune119.0ms

Filtered

68 candidates to 95 candidates (-39.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	2	95
Fresh	1	0	1
Picked	1	0	1
Done	0	3	3
Total	95	5	100

Merged error: 0.1b

Counts

100 → 5

regimes149.0ms

Accuracy

98.3% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 21.8b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	61	26
1	61	26

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.0s	2259×	body	1280	valid
376.0ms	1690×	body	640	valid
94.0ms	813×	body	320	valid
73.0ms	2853×	body	80	valid
26.0ms	385×	body	160	valid

Details

analyze2.0ms

sample64.0ms

simplify7.0ms

prune2.0ms

localize3.0ms

rewrite4.0ms

series3.0ms

simplify63.0ms

prune29.0ms

localize9.0ms

rewrite12.0ms

series4.0ms

simplify41.0ms

prune30.0ms

localize6.0ms

rewrite10.0ms

series20.0ms

simplify45.0ms

prune55.0ms

localize9.0ms

rewrite17.0ms

series109.0ms

simplify77.0ms

prune119.0ms

regimes149.0ms

bsearch1.0ms

simplify2.0ms

end0.0ms

sample1.7s

Profiling