Details

sample64.0ms

Algorithm

intervals

Results

18.0ms	366×	body	80	valid
16.0ms	390×	body	80	nan

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	12
1	84	12
2	245	12
3	581	12
4	1280	12
5	2462	12
6	5001	12

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.5b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
0.1b	(- (* (- x 0.5) (log x)) x)
0.2b	(* (- x 0.5) (log x))
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite161.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `*-un-lft-identity`
20×	`add-cube-cbrt`
18×	`log-prod`
12×	`associate--l+`
11×	`add-log-exp`
9×	`distribute-rgt-in` `distribute-lft-in` `times-frac`
8×	`add-exp-log` `associate-+l+` `add-cbrt-cube`
7×	`pow1`
5×	`associate-l`
4×	`associate-r`
3×	`associate-/r` `associate-/l`
2×	`sub-neg` `flip3--` `flip3-+` `diff-log` `associate-*l/` `sum-log` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `log-pow` `*-commutative` `cbrt-unprod` `div-inv` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

61.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
17.0ms	(- (* (- x 0.5) (log x)) x)
24.0ms	(* (- x 0.5) (log x))
55.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

441.0ms	(+ (- (* (- x 0.5) (log x)) x) 0.91893853320467)
437.0ms	(- (* (- x 0.5) (log x)) x)
263.0ms	(* (- x 0.5) (log x))
80.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify50.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	501	839
1	1642	776
2	5002	763

prune419.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
53.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series622.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt x)
181.0ms	(cbrt x)
185.0ms	(cbrt x)
76.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify100.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	212	462
1	697	420
2	3321	413
3	5001	410

prune401.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

rewrite297.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`cbrt-prod` `associate-+l+`
12×	`associate-+r+`
9×	`times-frac`
8×	`associate-*l/`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`pow1` `flip3--` `frac-add` `flip--`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `pow1/3` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv` `distribute-lft-out`

Counts

4 → 103

Calls

4 calls:

39.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
252.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

series1.2s

Counts

4 → 12

Calls

4 calls:

751.0ms	(+ (* (- x 0.5) (* 2 (log (cbrt x)))) (* (- x 0.5) (log (cbrt x))))
174.0ms	(cbrt x)
174.0ms	(cbrt x)
79.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)

simplify74.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	624	1080
1	2446	943
2	5001	919

prune632.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (- (* (log (pow x 1/3)) (- (* 3 x) 1.5)) x) 0.91893853320467)
0.3b	(* (log (pow x 1/3)) (- (* 3 x) 1.5))
5.1b	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
5.1b	(pow x 1/3)

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt` `*-un-lft-identity`
16×	`add-cube-cbrt`
9×	`add-exp-log` `times-frac` `add-log-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`associate-+l+`
5×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in` `associate-l` `associate--l+`
3×	`unpow-prod-down` `pow-unpow` `associate-r` `associate-/r` `associate-/l`
2×	`flip3-+` `associate-*r/` `sum-log` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+l-` `flip3--` `pow-pow` `frac-2neg` `unpow1/3` `diff-log` `div-exp` `pow-prod-down` `pow-exp` `prod-exp` `clear-num` `log-pow` `*-commutative` `flip--` `cbrt-unprod` `div-inv` `distribute-lft-out` `unswap-sqr` `sqr-pow`

Counts

4 → 92

Calls

4 calls:

70.0ms	(+ (- (* (log (pow x 1/3)) (- (* 3 x) 1.5)) x) 0.91893853320467)
32.0ms	(* (log (pow x 1/3)) (- (* 3 x) 1.5))
56.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
3.0ms	(pow x 1/3)

series1.5s

Counts

4 → 12

Calls

4 calls:

792.0ms	(+ (- (* (log (pow x 1/3)) (- (* 3 x) 1.5)) x) 0.91893853320467)
450.0ms	(* (log (pow x 1/3)) (- (* 3 x) 1.5))
80.0ms	(/ (+ (* (- (* (+ y 0.0007936500793651) z) 0.0027777777777778) z) 0.083333333333333) x)
173.0ms	(pow x 1/3)

simplify59.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	524	836
1	2097	746
2	5001	731

prune368.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.0b

regimes344.0ms

Accuracy

0% (1.4b remaining)

Error of 6.0b against oracle of 4.7b and baseline of 6.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	14
1	32	14

end0.0ms

sample1.8s

Algorithm

intervals

Results

585.0ms	11662×	body	80	valid
499.0ms	11633×	body	80	nan