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

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune7.0ms

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

localize3.0ms

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)

series35.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+.f64 (*.f64 841/108 x) 4/29)
13.0ms	(*.f64 841/108 x)

simplify68.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5462	275

prune28.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Merged error: 0.0b

Counts

36 → 6

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
0.2b	(*.f64 x (sqrt.f64 841/108))
0.4b	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`associate-r_binary64` `sqrt-prod_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 → 54

Calls

3 calls:

8.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
5.0ms	(*.f64 x (sqrt.f64 841/108))
7.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

series114.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+.f64 (.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108))) 4/29)
23.0ms	(*.f64 x (sqrt.f64 841/108))
46.0ms	(.f64 (sqrt.f64 841/108) (.f64 x (sqrt.f64 841/108)))

simplify108.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4902	511
1	4902	511

prune38.0ms

Filtered

39 candidates to 63 candidates (-61.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	64	5	69

Merged error: 0.0b

Counts

69 → 5

localize10.0ms

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))
0.4b	(.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))

rewrite34.0ms

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:

11.0ms	(+.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)))
6.0ms	(*.f64 (cbrt.f64 841/108) (cbrt.f64 841/108))

series149.0ms

Counts

4 → 10

Calls

4 calls:

61.0ms	(+.f64 (.f64 (.f64 (cbrt.f64 841/108) (cbrt.f64 841/108)) (*.f64 x (cbrt.f64 841/108))) 4/29)
28.0ms	(*.f64 x (cbrt.f64 841/108))
60.0ms	(.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))

simplify90.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4863	831
1	4863	831

prune70.0ms

Filtered

63 candidates to 105 candidates (-66.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	105	5	110

Merged error: 0.0b

Counts

110 → 5

localize11.0ms

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))

0.4b

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

rewrite30.0ms

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))

11.0ms

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

series135.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms

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

25.0ms

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

52.0ms

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

simplify59.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5040	624

prune54.0ms

Filtered

54 candidates to 72 candidates (-33.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Merged error: 0.0b

Counts

77 → 5

regimes14.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms

sample301.0ms

Algorithm

intervals

Results

213.0ms	7994×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	80	invalid

Details

analyze4.0ms

sample11.0ms

simplify12.0ms

prune7.0ms

localize3.0ms

rewrite9.0ms

series35.0ms

simplify68.0ms

prune28.0ms

localize5.0ms

rewrite21.0ms

series114.0ms

simplify108.0ms

prune38.0ms

localize10.0ms

rewrite34.0ms

series149.0ms

simplify90.0ms

prune70.0ms

localize11.0ms

rewrite30.0ms

series135.0ms

simplify59.0ms

prune54.0ms

regimes14.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample301.0ms

Profiling