Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

sample11.0ms

Algorithm

intervals

Results

6.0ms

256×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune10.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (*.f64 841/108 x) 4/29)
0.2b	(*.f64 841/108 x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+.f64 (*.f64 841/108 x) 4/29)
4.0ms	(*.f64 841/108 x)

series7.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+.f64 (*.f64 841/108 x) 4/29)
2.0ms	(*.f64 841/108 x)

simplify93.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4836	187
1	4836	187

prune23.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
0.1b	(*.f64 x (cbrt.f64 841/108))
0.3b	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
1.0b	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
20×	`add-exp-log_binary64` `cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
13×	`associate-r_binary64`
11×	`pow-prod-down_binary64` `add-cbrt-cube_binary64`
10×	`cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
6×	`add-log-exp_binary64` `swap-sqr_binary64` `pow1/3_binary64` `unswap-sqr_binary64`
3×	`*-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`flip3-+_binary64` `pow-plus_binary64` `+-commutative_binary64` `flip-+_binary64` `pow2_binary64` `sum-log_binary64`

Counts

4 → 95

Calls

4 calls:

12.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
5.0ms	(*.f64 x (cbrt.f64 841/108))
10.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
8.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

series28.0ms

Counts

4 → 10

Calls

4 calls:

12.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
5.0ms	(*.f64 x (cbrt.f64 841/108))
11.0ms	(.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108)))
0.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

simplify58.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4875	556
1	4875	556

prune60.0ms

Filtered

65 candidates to 105 candidates (-61.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	105	4	109

Merged error: 0b

Counts

109 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (*.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 841/108)))) (*.f64 x (cbrt.f64 841/108))) 4/29)

0.1b

(*.f64 x (cbrt.f64 841/108))

0.3b

(*.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 841/108)))) (*.f64 x (cbrt.f64 841/108)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`associate-l_binary64`
15×	`add-sqr-sqrt_binary64`
12×	`log-prod_binary64` `exp-sum_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64` `cbrt-prod_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`unswap-sqr_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 63

Calls

3 calls:

10.0ms

(+.f64 (*.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 841/108)))) (*.f64 x (cbrt.f64 841/108))) 4/29)

5.0ms

(*.f64 x (cbrt.f64 841/108))

10.0ms

(*.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 841/108)))) (*.f64 x (cbrt.f64 841/108)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms

(+.f64 (*.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 841/108)))) (*.f64 x (cbrt.f64 841/108))) 4/29)

5.0ms

(*.f64 x (cbrt.f64 841/108))

11.0ms

(*.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 841/108)))) (*.f64 x (cbrt.f64 841/108)))

simplify38.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5104	411

prune46.0ms

Filtered

53 candidates to 72 candidates (-35.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	72	4	76

Merged error: 0b

Counts

76 → 4

localize6.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29))
0.2b	(*.f64 841/108 x)
0.2b	(*.f64 841/108 x)
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary64`
24×	`pow1_binary64`
21×	`sqrt-prod_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
14×	`sqrt-div_binary64`
12×	`associate-r_binary64` `associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow1/2_binary64` `sqrt-pow1_binary64`
8×	`swap-sqr_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`unswap-sqr_binary64`
5×	`pow-prod-down_binary64` `pow-prod-up_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64`
3×	`cbrt-unprod_binary64` `prod-exp_binary64` `pow-sqr_binary64` `*-commutative_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`rem-square-sqrt_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-sqrt-square_binary64` `pow2_binary64`

Counts

4 → 108

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29))
4.0ms	(*.f64 841/108 x)
4.0ms	(*.f64 841/108 x)
13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))

series14.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29))
2.0ms	(*.f64 841/108 x)
3.0ms	(*.f64 841/108 x)
4.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 841/108 x) 4/29)) (sqrt.f64 (+.f64 (*.f64 841/108 x) 4/29)))

simplify76.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4911	882
1	4911	882

prune53.0ms

Filtered

66 candidates to 120 candidates (-81.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	120	4	124

Merged error: 0b

Counts

124 → 4

regimes17.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	5
1	7	5

end0.0ms

sample301.0ms

Algorithm

intervals

Results

210.0ms	7996×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample11.0ms

simplify6.0ms

prune10.0ms

localize4.0ms

rewrite9.0ms

series7.0ms

simplify93.0ms

prune23.0ms

localize6.0ms

rewrite38.0ms

series28.0ms

simplify58.0ms

prune60.0ms

localize10.0ms

rewrite27.0ms

series29.0ms

simplify38.0ms

prune46.0ms

localize6.0ms

rewrite31.0ms

series14.0ms

simplify76.0ms

prune53.0ms

regimes17.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample301.0ms

Profiling