Details

sample51.0ms

Algorithm

intervals

Results

28.0ms

305×

body

valid

simplify58.0ms

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

prune4.0ms

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: 29.2b

Counts

2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b	(* (+ (* z 3.13060547623) 11.1667541262) z)
4.1b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
27.4b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite67.0ms

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:

12.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
7.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
16.0ms	(* 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))

series708.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
62.0ms	(* (+ (* z 3.13060547623) 11.1667541262) z)
161.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
429.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify83.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	573	1240
1	2806	1065
2	5001	1065

prune404.0ms

Filtered

99 candidates to 72 candidates (72.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	8	100

Merged error: 2.9b

Counts

100 → 8

localize8.0ms

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-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))

series54.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* 1.6453555072203998 (* y b)))
20.0ms	(* 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

prune83.0ms

Filtered

35 candidates to 22 candidates (62.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	34	9	43

Merged error: 2.9b

Counts

43 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
4.1b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.1b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.1b	(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
2.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))

series564.0ms

Counts

4 → 12

Calls

4 calls:

132.0ms	(* (cbrt (+ x (* 1.6453555072203998 (* y b)))) (cbrt (+ x (* 1.6453555072203998 (* y b)))))
144.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
142.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
145.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify96.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	255	1035
1	824	970
2	3359	912
3	5001	891

prune278.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	7	7
Picked	0	1	1
Done	1	0	1
Total	97	11	108

Merged error: 2.8b

Counts

108 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

4.1b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.1b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.1b	(cbrt (+ x (* 1.6453555072203998 (* y b))))
4.1b	(cbrt (+ x (* 1.6453555072203998 (* y b))))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

5.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
2.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))

series577.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
143.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
146.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))
143.0ms	(cbrt (+ x (* 1.6453555072203998 (* y b))))

simplify57.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	144	548
1	391	512
2	1462	504
3	5001	484

prune240.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	9	9
Picked	1	0	1
Done	0	1	1
Total	64	11	75

Merged error: 2.8b

Counts

75 → 11

regimes549.0ms

Accuracy

94% (1.4b remaining)

Error of 4.3b against oracle of 3.0b and baseline of 26.2b

bsearch239.0ms

Steps

Iters	Range		Point
8	1.3841370578267956e+27	1.6498015620031138e+30	1.6245887666572722e+30
7	-2.2270534646608673e+24	-1.222722162629111e+23	-2.2071065846494894e+24

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	27
1	71	27

end0.0ms

sample1.1s

Algorithm

intervals

Results

749.0ms

8866×

body

valid

Details

sample51.0ms

simplify58.0ms

prune4.0ms

localize25.0ms

rewrite67.0ms

series708.0ms

simplify83.0ms

prune404.0ms

localize8.0ms

rewrite8.0ms

series54.0ms

simplify70.0ms

prune83.0ms

localize9.0ms

rewrite17.0ms

series564.0ms

simplify96.0ms

prune278.0ms

localize15.0ms

rewrite13.0ms

series577.0ms

simplify57.0ms

prune240.0ms

regimes549.0ms

bsearch239.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling