Details

sample28.8s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 11.694336%

Results

21.0ms	256×	body	80	valid
2.0ms	25×	body	80	invalid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	18
1	116	18
2	329	18
3	935	18
4	2876	18
5	5001	18

prune5.0ms

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: 29.7b

Counts

2 → 1

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
3.1b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.4b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`add-exp-log` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow1`
9×	`associate-r` `associate-l`
5×	`flip3-+` `flip-+`
4×	`associate-r/` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`times-frac` `pow-prod-down` `associate-/r` `-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp` `associate-/r/` `associate-/l/`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
6.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
15.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series202.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
6.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
50.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
142.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify77.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	587	1179
1	2851	995
2	5002	995

prune220.0ms

Filtered

70 candidates to 99 candidates (-41.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	92	7	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	7	100

Merged error: 2.2b

Counts

100 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* 1.6453555072203998 (* y b)))
0.2b	(* 1.6453555072203998 (* y b))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ x (* 1.6453555072203998 (* y b)))
5.0ms	(* 1.6453555072203998 (* y b))

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* 1.6453555072203998 (* y b)))
4.0ms	(* 1.6453555072203998 (* y b))

simplify70.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	149	139
1	529	122
2	2246	122
3	5002	122

prune88.0ms

Filtered

22 candidates to 35 candidates (-59.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	32	10	42

Merged error: 2.2b

Counts

42 → 10

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* 1.6453555072203998 y) b))
0.2b	(* (* 1.6453555072203998 y) b)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ x (* (* 1.6453555072203998 y) b))
5.0ms	(* (* 1.6453555072203998 y) b)

series11.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ x (* (* 1.6453555072203998 y) b))
4.0ms	(* (* 1.6453555072203998 y) b)

simplify107.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	163	140
1	771	123
2	3811	123
3	5002	123

prune85.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	34	11	45

Merged error: 2.2b

Counts

45 → 11

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b

(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b))))

0.3b

(* (cbrt 1.6453555072203998) (* y b))

0.3b

(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

29×	`pow1` `add-exp-log`
18×	`pow-prod-down` `prod-exp` `cbrt-unprod`
17×	`add-cbrt-cube`
7×	`associate-l`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`cbrt-prod`
2×	`associate-r` `*-commutative`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 60

Calls

3 calls:

3.0ms

(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b))))

5.0ms

(* (cbrt 1.6453555072203998) (* y b))

11.0ms

(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))

series25.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms

(+ x (* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b))))

5.0ms

(* (cbrt 1.6453555072203998) (* y b))

8.0ms

(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt 1.6453555072203998) (* y b)))

simplify42.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	251	516
1	1008	396
2	5002	368

prune87.0ms

Filtered

37 candidates to 69 candidates (-86.5%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	66	3	69
Fresh	1	8	9
Picked	0	1	1
Done	0	1	1
Total	67	13	80

Merged error: 2.2b

Counts

80 → 13

regimes1.3s

Accuracy

94.1% (1.4b remaining)

Error of 4.4b against oracle of 3.0b and baseline of 26.0b

bsearch165.0ms

Steps

Iters	Range		Point
9	3.370361700904726e+65	7.925521314964058e+72	5.857092139435609e+65
9	-1.7121365509751614e+31	-5.652259587156808e+24	-1.690824732728055e+31

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	27
1	72	27

end0.0ms

sample30.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 11.694336%

Results

691.0ms	8000×	body	80	valid
78.0ms	879×	body	80	invalid

Details

sample28.8s

simplify56.0ms

prune5.0ms

localize27.0ms

rewrite57.0ms

series202.0ms

simplify77.0ms

prune220.0ms

localize5.0ms

rewrite10.0ms

series11.0ms

simplify70.0ms

prune88.0ms

localize5.0ms

rewrite8.0ms

series11.0ms

simplify107.0ms

prune85.0ms

localize9.0ms

rewrite21.0ms

series25.0ms

simplify42.0ms

prune87.0ms

regimes1.3s

bsearch165.0ms

simplify2.0ms

end0.0ms

sample30.9s

Profiling