Details

sample49.0ms

Algorithm

intervals

Results

24.0ms

275×

body

valid

simplify73.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

prune5.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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: 33.2b

Counts

2 → 1

localize28.0ms

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)
2.4b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
31.8b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite72.0ms

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:

10.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
8.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
21.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
30.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series862.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
70.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
207.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
536.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify92.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (21.0ms)

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

prune449.0ms

Filtered

99 candidates to 70 candidates (70.7%)

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: 4.8b

Counts

100 → 7

localize6.0ms

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)))
6.0ms	(* 1.6453555072203998 (* y b))

series69.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ x (* 1.6453555072203998 (* y b)))
25.0ms	(* 1.6453555072203998 (* y b))

simplify90.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (8.0ms)

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

prune111.0ms

Filtered

35 candidates to 22 candidates (62.9%)

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: 4.8b

Counts

42 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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))
6.0ms	(* (* 1.6453555072203998 y) b)

series73.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ x (* (* 1.6453555072203998 y) b))
24.0ms	(* (* 1.6453555072203998 y) b)

simplify126.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (10.0ms)

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

prune95.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	34	11	45

Merged error: 4.8b

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))))

0.2b

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

0.2b

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

rewrite28.0ms

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))))

16.0ms

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

6.0ms

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

series251.0ms

Counts

3 → 9

Calls

3 calls:

109.0ms

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

90.0ms

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

52.0ms

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

simplify55.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (47.0ms)

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

prune129.0ms

Filtered

69 candidates to 37 candidates (53.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	65	4	69
Fresh	1	9	10
Picked	1	0	1
Done	0	0	0
Total	67	13	80

Merged error: 4.8b

Counts

80 → 13

regimes681.0ms

Accuracy

94.8% (1.2b remaining)

Error of 4.5b against oracle of 3.3b and baseline of 25.8b

bsearch243.0ms

Steps

Iters	Range		Point
8	8.284753751826731e+42	2.6713472589340262e+45	6.275897102199269e+44
5	-1.6744887436759647e+47	-4.3071174146584635e+46	-6.131243960090912e+46

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	27
1	72	27

end0.0ms

sample1.0s

Algorithm

intervals

Results

686.0ms

8866×

body

valid