Details

sample21.0ms

Algorithm

intervals

Results

10.0ms

257×

body

valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	6
1	22	6
2	22	6

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 1.1283791670955126 (exp z))
0.0b	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
7.3b	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 71

Calls

4 calls:

10.0ms	(* 1.1283791670955126 (exp z))
36.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
10.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
17.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

series166.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(* 1.1283791670955126 (exp z))
37.0ms	(+ x (/ y (- (* 1.1283791670955126 (exp z)) (* x y))))
49.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
65.0ms	(/ y (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	329	592
1	1175	552
2	5002	551

prune195.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

2.6b	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
7.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
7.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
7.9b	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 68

Calls

4 calls:

42.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
12.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
9.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series696.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(/ (* (cbrt y) (cbrt y)) (* (cbrt (- (* 1.1283791670955126 (exp z)) (* x y))) (cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))))
103.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
298.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))
110.0ms	(cbrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify50.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	486	1119
1	1695	959
2	5002	925

prune309.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (/ 1 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
5×	`*-un-lft-identity`
3×	`add-log-exp` `difference-of-squares`
2×	`times-frac` `distribute-lft-out--`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `div-inv`

Counts

1 → 17

Calls

1 calls:

11.0ms

(- x (/ 1 x))

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

(- x (/ 1 x))

simplify81.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	82	90
1	229	85
2	1594	81
3	5001	81

prune31.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
1.0b	(- (* 1.1283791670955126 (exp z)) (* x y))
5.3b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
5.3b	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `add-log-exp`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `flip3--` `sqrt-div` `add-cbrt-cube` `flip--`
2×	`sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log`

Counts

4 → 54

Calls

4 calls:

12.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
10.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
14.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
14.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
48.0ms	(- (* 1.1283791670955126 (exp z)) (* x y))
85.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))
86.0ms	(sqrt (- (* 1.1283791670955126 (exp z)) (* x y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (56.0ms)

Iter	Nodes	Cost
0	185	522
1	549	484
2	1899	478
3	5001	472

prune189.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes158.0ms

Accuracy

59.5% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.8b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	14
1	21	14

end0.0ms

sample465.0ms

Algorithm

intervals

Results

238.0ms

8002×

body

valid