Details

sample40.0ms

Algorithm

intervals

Results

18.0ms

280×

body

valid

simplify55.0ms

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: 28.0b

Counts

2 → 1

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
0.1b	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
3.1b	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
26.6b	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

rewrite68.0ms

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:

13.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
9.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
16.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
28.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

series695.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z)
38.0ms	(* (+ (* (+ z 15.234687407) z) 31.4690115749) z)
168.0ms	(* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b))
434.0ms	(/ (* y (+ (* (+ (* (+ (* (+ (* z 3.13060547623) 11.1667541262) z) t) z) a) z) b)) (+ (* (+ (* (+ (* (+ z 15.234687407) z) 31.4690115749) z) 11.9400905721) z) 0.607771387771))

simplify80.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	581	1272
1	2843	1090
2	5002	1090

prune443.0ms

Filtered

99 candidates to 72 candidates (72.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	91	8	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	91	9	100

Merged error: 2.4b

Counts

100 → 9

localize11.0ms

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))

simplify74.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (7.0ms)

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

prune232.0ms

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	1	0	1
Done	0	1	1
Total	35	9	44

Merged error: 2.4b

Counts

44 → 9

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) (* y b))

0.3b

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

rewrite22.0ms

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))))

6.0ms

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

11.0ms

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

series194.0ms

Counts

3 → 9

Calls

3 calls:

82.0ms

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

43.0ms

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

68.0ms

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

simplify44.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 2 (38.0ms)

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

prune139.0ms

Filtered

69 candidates to 37 candidates (53.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	69	9	78

Merged error: 2.4b

Counts

78 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998))) (* (cbrt (cbrt 1.6453555072203998)) (* y b))))
0.6b	(* (cbrt (cbrt 1.6453555072203998)) (* y b))
1.0b	(cbrt (cbrt 1.6453555072203998))
1.0b	(cbrt (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

41×	`pow1` `add-exp-log`
27×	`pow-prod-down` `prod-exp` `cbrt-unprod`
21×	`add-cbrt-cube`
19×	`cbrt-prod`
10×	`associate-l`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
2×	`pow1/3` `associate-r` `*-commutative`

Counts

4 → 81

Calls

4 calls:

15.0ms	(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998))) (* (cbrt (cbrt 1.6453555072203998)) (* y b))))
6.0ms	(* (cbrt (cbrt 1.6453555072203998)) (* y b))
2.0ms	(cbrt (cbrt 1.6453555072203998))
4.0ms	(cbrt (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)))

series238.0ms

Counts

4 → 8

Calls

4 calls:

76.0ms	(* (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)) (* (cbrt (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998))) (* (cbrt (cbrt 1.6453555072203998)) (* y b))))
162.0ms	(* (cbrt (cbrt 1.6453555072203998)) (* y b))
0.0ms	(cbrt (cbrt 1.6453555072203998))
0.0ms	(cbrt (* (cbrt 1.6453555072203998) (cbrt 1.6453555072203998)))

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	287	842
1	1262	679
2	5002	621

prune181.0ms

Filtered

89 candidates to 51 candidates (57.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	89	9	98

Merged error: 2.4b

Counts

98 → 9

regimes742.0ms

Accuracy

94.4% (1.3b remaining)

Error of 4.6b against oracle of 3.3b and baseline of 26.6b

bsearch267.0ms

Steps

Iters	Range		Point
11	9370.699262348937	9.819057550459473e+33	9.293259287401516e+31
6	-6.195574868899143e+53	-7.051798958136889e+52	-4.030726416130961e+53

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	27
1	71	27

end0.0ms

sample925.0ms

Algorithm

intervals

Results

595.0ms

8858×

body

valid